TSTP Solution File: SWW390+1 by ConnectPP---0.2.2
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%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : SWW390+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Mar 6 09:26:01 EST 2024
% Result : Theorem 20.29s 20.51s
% Output : Proof 20.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW390+1 : TPTP v8.1.2. Released v5.2.0.
% 0.13/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.14/0.34 % Computer : n005.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Mar 4 01:34:47 EST 2024
% 0.20/0.35 % CPUTime :
% 20.29/20.51 % SZS status Theorem for theBenchmark
% 20.29/20.51 % SZS output start Proof for theBenchmark
% 20.29/20.51
% 20.29/20.51 % Formula: fact_ext ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_ext-1, axiom, ( ( hAPP(_u1, skolem1(_u2, _u1)) != hAPP(_u2, skolem1(_u2, _u1))) | ( _u1 = _u2) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_empty ( axiom ) converted to clauses:
% 20.29/20.51 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))) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_hoare__derivs_Oequations_I1_J ( axiom ) converted to clauses:
% 20.29/20.51 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))) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_triple_Oinject ( axiom ) converted to clauses:
% 20.29/20.51 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) )).
% 20.29/20.51 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) )).
% 20.29/20.51 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) )).
% 20.29/20.51 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)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_cut ( axiom ) converted to clauses:
% 20.29/20.51 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) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_hoare__derivs_Oinsert ( axiom ) converted to clauses:
% 20.29/20.51 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)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_derivs__insertD ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_derivs__insertD-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u36, _u37, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u36)), _u38), _u39)) | c_Hoare__Mirabelle_Ohoare__derivs(_u36, _u37, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u36)), _u38), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u36), tc_HOL_Obool)))) )).
% 20.29/20.51 cnf(fact_derivs__insertD-2, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u36, _u37, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u36)), _u38), _u39)) | c_Hoare__Mirabelle_Ohoare__derivs(_u36, _u37, _u39) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_triple_Orecs ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_triple_Orecs-1, axiom, ( ( c_Hoare__Mirabelle_Otriple_Otriple__rec(_u40, _u41, _u42, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u40), _u43), _u44), _u45)) = hAPP(hAPP(hAPP(_u42, _u43), _u44), _u45)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_triple_Osimps_I2_J ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_triple_Osimps_I2_J-1, axiom, ( ( c_Hoare__Mirabelle_Otriple_Otriple__case(_u46, _u47, _u48, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u46), _u49), _u50), _u51)) = hAPP(hAPP(hAPP(_u48, _u49), _u50), _u51)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_empty__not__insert ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_empty__not__insert-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u52, tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(_u52), _u53), _u54)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_insert__not__empty ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_insert__not__empty-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u55), _u56), _u57) != c_Orderings_Obot__class_Obot(tc_fun(_u55, tc_HOL_Obool))) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_doubleton__eq__iff ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_doubleton__eq__iff-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u63), _u65), hAPP(hAPP(c_Set_Oinsert(_u63), _u67), c_Orderings_Obot__class_Obot(tc_fun(_u63, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u63), _u69), hAPP(hAPP(c_Set_Oinsert(_u63), _u71), c_Orderings_Obot__class_Obot(tc_fun(_u63, tc_HOL_Obool))))) | ( _u65 = _u69) | ( _u65 = _u71) )).
% 20.29/20.51 cnf(fact_doubleton__eq__iff-2, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u63), _u65), hAPP(hAPP(c_Set_Oinsert(_u63), _u67), c_Orderings_Obot__class_Obot(tc_fun(_u63, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u63), _u69), hAPP(hAPP(c_Set_Oinsert(_u63), _u71), c_Orderings_Obot__class_Obot(tc_fun(_u63, tc_HOL_Obool))))) | ( _u65 = _u69) | ( _u67 = _u69) )).
% 20.29/20.51 cnf(fact_doubleton__eq__iff-3, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u63), _u65), hAPP(hAPP(c_Set_Oinsert(_u63), _u67), c_Orderings_Obot__class_Obot(tc_fun(_u63, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u63), _u69), hAPP(hAPP(c_Set_Oinsert(_u63), _u71), c_Orderings_Obot__class_Obot(tc_fun(_u63, tc_HOL_Obool))))) | ( _u67 = _u71) | ( _u65 = _u71) )).
% 20.29/20.51 cnf(fact_doubleton__eq__iff-4, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u63), _u65), hAPP(hAPP(c_Set_Oinsert(_u63), _u67), c_Orderings_Obot__class_Obot(tc_fun(_u63, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u63), _u69), hAPP(hAPP(c_Set_Oinsert(_u63), _u71), c_Orderings_Obot__class_Obot(tc_fun(_u63, tc_HOL_Obool))))) | ( _u67 = _u71) | ( _u67 = _u69) )).
% 20.29/20.51 cnf(fact_doubleton__eq__iff-5, 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 != _u72) )).
% 20.29/20.51 cnf(fact_doubleton__eq__iff-6, 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 != _u72) | ( _u68 != _u70) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_singleton__inject ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_singleton__inject-1, axiom, ( ( _u74 = _u75) | ( hAPP(hAPP(c_Set_Oinsert(_u73), _u74), c_Orderings_Obot__class_Obot(tc_fun(_u73, tc_HOL_Obool))) != hAPP(hAPP(c_Set_Oinsert(_u73), _u75), c_Orderings_Obot__class_Obot(tc_fun(_u73, tc_HOL_Obool)))) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_bot__apply ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_bot__apply-1, axiom, ( ~class_Orderings_Obot(_u76) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u77, _u76)), _u78) = c_Orderings_Obot__class_Obot(_u76)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_hoare__derivs_OSkip ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_hoare__derivs_OSkip-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u79, _u80, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u79)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u79), _u81), c_Com_Ocom_OSKIP), _u81)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u79), tc_HOL_Obool)))) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_hoare__derivs_Oequations_I7_J ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_hoare__derivs_Oequations_I7_J-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u82, _u83, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u82)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u82), _u84), c_Com_Ocom_OSKIP), _u84)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u82), tc_HOL_Obool)))) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_conseq2 ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_conseq2-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u87, _u88, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u87)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u87), _u89), _u90), _u91)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u87), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u87, _u88, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u87)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u87), _u89), _u90), _u92)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u87), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u91, skolem2(_u92, _u91, _u90, _u89, _u88, _u87)), skolem3(_u92, _u91, _u90, _u89, _u88, _u87))) )).
% 20.29/20.51 cnf(fact_conseq2-2, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u87, _u88, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u87)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u87), _u89), _u90), _u91)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u87), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u87, _u88, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u87)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u87), _u89), _u90), _u92)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u87), tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(_u92, skolem2(_u92, _u91, _u90, _u89, _u88, _u87)), skolem3(_u92, _u91, _u90, _u89, _u88, _u87))) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_conseq1 ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_conseq1-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u95, _u96, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u95)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u95), _u97), _u98), _u99)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u95), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u95, _u96, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u95)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u95), _u100), _u98), _u99)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u95), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u100, skolem4(_u100, _u99, _u98, _u97, _u96, _u95)), skolem5(_u100, _u99, _u98, _u97, _u96, _u95))) )).
% 20.29/20.51 cnf(fact_conseq1-2, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u95, _u96, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u95)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u95), _u97), _u98), _u99)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u95), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u95, _u96, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u95)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u95), _u100), _u98), _u99)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u95), tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(_u97, skolem4(_u100, _u99, _u98, _u97, _u96, _u95)), skolem5(_u100, _u99, _u98, _u97, _u96, _u95))) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_Comp ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_Comp-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u101, _u102, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u101)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u101), _u103), _u104), _u105)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u101), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u101, _u102, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u101)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u101), _u105), _u106), _u107)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u101), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u101, _u102, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u101)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u101), _u103), c_Com_Ocom_OSemi(_u104, _u106)), _u107)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u101), tc_HOL_Obool)))) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_insert__code ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_insert__code-1, axiom, ( ( _u114 = _u118) | hBOOL(hAPP(_u116, _u118)) | ~hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u112), _u114), _u116), _u118)) )).
% 20.29/20.51 cnf(fact_insert__code-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u113), _u115), _u117), _u119)) | ( _u115 != _u119) )).
% 20.29/20.51 cnf(fact_insert__code-3, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u113), _u115), _u117), _u119)) | ~hBOOL(hAPP(_u117, _u119)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_insert__commute ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_insert__commute-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u120), _u121), hAPP(hAPP(c_Set_Oinsert(_u120), _u122), _u123)) = hAPP(hAPP(c_Set_Oinsert(_u120), _u122), hAPP(hAPP(c_Set_Oinsert(_u120), _u121), _u123))) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_insert__absorb2 ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_insert__absorb2-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u124), _u125), hAPP(hAPP(c_Set_Oinsert(_u124), _u125), _u126)) = hAPP(hAPP(c_Set_Oinsert(_u124), _u125), _u126)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_the__elem__eq ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_the__elem__eq-1, axiom, ( ( c_Set_Othe__elem(_u127, hAPP(hAPP(c_Set_Oinsert(_u127), _u128), c_Orderings_Obot__class_Obot(tc_fun(_u127, tc_HOL_Obool)))) = _u128) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_com_Osimps_I12_J ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_com_Osimps_I12_J-1, axiom, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(_u129, _u130)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_com_Osimps_I13_J ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_com_Osimps_I13_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u131, _u132) != c_Com_Ocom_OSKIP) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_com_Osimps_I3_J ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_com_Osimps_I3_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u137, _u139) != c_Com_Ocom_OSemi(_u141, _u143)) | ( _u137 = _u141) )).
% 20.29/20.51 cnf(fact_com_Osimps_I3_J-2, axiom, ( ( c_Com_Ocom_OSemi(_u137, _u139) != c_Com_Ocom_OSemi(_u141, _u143)) | ( _u139 = _u143) )).
% 20.29/20.51 cnf(fact_com_Osimps_I3_J-3, axiom, ( ( _u138 != _u142) | ( _u140 != _u144) | ( c_Com_Ocom_OSemi(_u138, _u140) = c_Com_Ocom_OSemi(_u142, _u144)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_hoare__sound ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_hoare__sound-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u145, _u146, _u147) | c_Hoare__Mirabelle_Ohoare__valids(_u145, _u146, _u147) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_conseq12 ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_conseq12-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u152, _u153, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u152)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u152), _u154), _u155), _u156)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u152), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u152, _u153, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u152)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u152), _u157), _u155), _u158)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u152), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u157, skolem6(_u158, _u157, _u156, _u155, _u154, _u153, _u152)), skolem7(_u158, _u157, _u156, _u155, _u154, _u153, _u152))) )).
% 20.29/20.51 cnf(fact_conseq12-2, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u152, _u153, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u152)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u152), _u154), _u155), _u156)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u152), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u152, _u153, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u152)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u152), _u157), _u155), _u158)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u152), tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(_u154, _u148), skolem7(_u158, _u157, _u156, _u155, _u154, _u153, _u152))) | hBOOL(hAPP(hAPP(_u156, _u148), skolem8(_u158, _u157, _u156, _u155, _u154, _u153, _u152))) )).
% 20.29/20.51 cnf(fact_conseq12-3, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u152, _u153, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u152)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u152), _u154), _u155), _u156)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u152), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u152, _u153, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u152)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u152), _u157), _u155), _u158)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u152), tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(_u158, skolem6(_u158, _u157, _u156, _u155, _u154, _u153, _u152)), skolem8(_u158, _u157, _u156, _u155, _u154, _u153, _u152))) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_subset__singletonD ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_subset__singletonD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u159, tc_HOL_Obool)), _u160), hAPP(hAPP(c_Set_Oinsert(_u159), _u161), c_Orderings_Obot__class_Obot(tc_fun(_u159, tc_HOL_Obool))))) | ( _u160 = c_Orderings_Obot__class_Obot(tc_fun(_u159, tc_HOL_Obool))) | ( _u160 = hAPP(hAPP(c_Set_Oinsert(_u159), _u161), c_Orderings_Obot__class_Obot(tc_fun(_u159, tc_HOL_Obool)))) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_singletonE ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_singletonE-1, axiom, ( ( _u163 = _u164) | ~hBOOL(hAPP(hAPP(c_member(_u162), _u163), hAPP(hAPP(c_Set_Oinsert(_u162), _u164), c_Orderings_Obot__class_Obot(tc_fun(_u162, tc_HOL_Obool))))) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_singleton__iff ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_singleton__iff-1, axiom, ( ( _u170 = _u172) | ~hBOOL(hAPP(hAPP(c_member(_u168), _u170), hAPP(hAPP(c_Set_Oinsert(_u168), _u172), c_Orderings_Obot__class_Obot(tc_fun(_u168, tc_HOL_Obool))))) )).
% 20.29/20.51 cnf(fact_singleton__iff-2, axiom, ( ( _u171 != _u173) | hBOOL(hAPP(hAPP(c_member(_u169), _u171), hAPP(hAPP(c_Set_Oinsert(_u169), _u173), c_Orderings_Obot__class_Obot(tc_fun(_u169, tc_HOL_Obool))))) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_folding__one_Osingleton ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_folding__one_Osingleton-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u174, _u175, _u176) | ( hAPP(_u176, hAPP(hAPP(c_Set_Oinsert(_u174), _u177), c_Orderings_Obot__class_Obot(tc_fun(_u174, tc_HOL_Obool)))) = _u177) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_fold1Set__sing ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_fold1Set__sing-1, axiom, ( ( _u186 = _u188) | ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u182, _u184, hAPP(hAPP(c_Set_Oinsert(_u182), _u186), c_Orderings_Obot__class_Obot(tc_fun(_u182, tc_HOL_Obool)))), _u188)) )).
% 20.29/20.51 cnf(fact_fold1Set__sing-2, axiom, ( ( _u187 != _u189) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u183, _u185, hAPP(hAPP(c_Set_Oinsert(_u183), _u187), c_Orderings_Obot__class_Obot(tc_fun(_u183, tc_HOL_Obool)))), _u189)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_insert__is__Un ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_insert__is__Un-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u190), _u191), _u192) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u190, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u190), _u191), c_Orderings_Obot__class_Obot(tc_fun(_u190, tc_HOL_Obool)))), _u192)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_order__refl ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_order__refl-1, axiom, ( ~class_Orderings_Opreorder(_u193) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u193), _u194), _u194)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_equalityCE ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_equalityCE-1, axiom, ( ( _u195 != _u196) | hBOOL(hAPP(hAPP(c_member(_u197), _u198), _u195)) | ~hBOOL(hAPP(hAPP(c_member(_u197), _u198), _u196)) )).
% 20.29/20.51 cnf(fact_equalityCE-2, axiom, ( ( _u195 != _u196) | hBOOL(hAPP(hAPP(c_member(_u197), _u198), _u196)) | ~hBOOL(hAPP(hAPP(c_member(_u197), _u198), _u195)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_equalityI ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_equalityI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u199, tc_HOL_Obool)), _u200), _u201)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u199, tc_HOL_Obool)), _u201), _u200)) | ( _u200 = _u201) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_emptyE ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_emptyE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u202), _u203), c_Orderings_Obot__class_Obot(tc_fun(_u202, tc_HOL_Obool)))) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_insertE ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_insertE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u204), _u205), hAPP(hAPP(c_Set_Oinsert(_u204), _u206), _u207))) | ( _u205 = _u206) | hBOOL(hAPP(hAPP(c_member(_u204), _u205), _u207)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_insertCI ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_insertCI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u208), _u209), hAPP(hAPP(c_Set_Oinsert(_u208), _u211), _u210))) | ~hBOOL(hAPP(hAPP(c_member(_u208), _u209), _u210)) )).
% 20.29/20.51 cnf(fact_insertCI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u208), _u209), hAPP(hAPP(c_Set_Oinsert(_u208), _u211), _u210))) | ( _u209 != _u211) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_subsetD ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_subsetD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u212, tc_HOL_Obool)), _u213), _u214)) | ~hBOOL(hAPP(hAPP(c_member(_u212), _u215), _u213)) | hBOOL(hAPP(hAPP(c_member(_u212), _u215), _u214)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_UnE ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_UnE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u216), _u217), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u216, tc_HOL_Obool)), _u218), _u219))) | hBOOL(hAPP(hAPP(c_member(_u216), _u217), _u218)) | hBOOL(hAPP(hAPP(c_member(_u216), _u217), _u219)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_UnCI ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_UnCI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u220), _u221), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u220, tc_HOL_Obool)), _u223), _u222))) | ~hBOOL(hAPP(hAPP(c_member(_u220), _u221), _u222)) )).
% 20.29/20.51 cnf(fact_UnCI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u220), _u221), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u220, tc_HOL_Obool)), _u223), _u222))) | ~hBOOL(hAPP(hAPP(c_member(_u220), _u221), _u223)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_empty__subsetI ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_empty__subsetI-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u224, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u224, tc_HOL_Obool))), _u225)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_subset__refl ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_subset__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u226, tc_HOL_Obool)), _u227), _u227)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_Un__upper1 ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_Un__upper1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u228, tc_HOL_Obool)), _u229), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u228, tc_HOL_Obool)), _u229), _u230))) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_Un__upper2 ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_Un__upper2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u231, tc_HOL_Obool)), _u232), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u231, tc_HOL_Obool)), _u233), _u232))) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_Un__absorb ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_Un__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u234, tc_HOL_Obool)), _u235), _u235) = _u235) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_le__fun__def ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_le__fun__def-1, axiom, ( ~class_Orderings_Oord(_u238) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u239, _u238)), _u240), _u241)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u238), hAPP(_u240, _u236)), hAPP(_u241, _u236))) )).
% 20.29/20.51 cnf(fact_le__fun__def-2, axiom, ( ~class_Orderings_Oord(_u238) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u238), hAPP(_u240, skolem9(_u241, _u240, _u239, _u238))), hAPP(_u241, skolem9(_u241, _u240, _u239, _u238)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u239, _u238)), _u240), _u241)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_mem__def ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_mem__def-1, axiom, ( hBOOL(hAPP(_u249, _u247)) | ~hBOOL(hAPP(hAPP(c_member(_u245), _u247), _u249)) )).
% 20.29/20.51 cnf(fact_mem__def-2, axiom, ( ~hBOOL(hAPP(_u250, _u248)) | hBOOL(hAPP(hAPP(c_member(_u246), _u248), _u250)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_Un__commute ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_Un__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u251, tc_HOL_Obool)), _u252), _u253) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u251, tc_HOL_Obool)), _u253), _u252)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_linorder__linear ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_linorder__linear-1, axiom, ( ~class_Orderings_Olinorder(_u254) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u254), _u255), _u256)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u254), _u256), _u255)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_subset__Un__eq ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_subset__Un__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u260, tc_HOL_Obool)), _u262), _u264)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u260, tc_HOL_Obool)), _u262), _u264) = _u264) )).
% 20.29/20.51 cnf(fact_subset__Un__eq-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u261, tc_HOL_Obool)), _u263), _u265) != _u265) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u261, tc_HOL_Obool)), _u263), _u265)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_set__eq__subset ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_set__eq__subset-1, axiom, ( ( _u269 != _u271) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u273, tc_HOL_Obool)), _u269), _u271)) )).
% 20.29/20.51 cnf(fact_set__eq__subset-2, axiom, ( ( _u269 != _u271) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u273, tc_HOL_Obool)), _u271), _u269)) )).
% 20.29/20.51 cnf(fact_set__eq__subset-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u274, tc_HOL_Obool)), _u270), _u272)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u274, tc_HOL_Obool)), _u272), _u270)) | ( _u270 = _u272) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_order__eq__iff ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_order__eq__iff-1, axiom, ( ~class_Orderings_Oorder(_u275) | ( _u276 != _u277) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u275), _u276), _u277)) )).
% 20.29/20.51 cnf(fact_order__eq__iff-2, axiom, ( ~class_Orderings_Oorder(_u275) | ( _u276 != _u277) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u275), _u277), _u276)) )).
% 20.29/20.51 cnf(fact_order__eq__iff-3, axiom, ( ~class_Orderings_Oorder(_u275) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u275), _u276), _u277)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u275), _u277), _u276)) | ( _u276 = _u277) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_Un__left__absorb ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_Un__left__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u278, tc_HOL_Obool)), _u279), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u278, tc_HOL_Obool)), _u279), _u280)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u278, tc_HOL_Obool)), _u279), _u280)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_Un__left__commute ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_Un__left__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u281, tc_HOL_Obool)), _u282), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u281, tc_HOL_Obool)), _u283), _u284)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u281, tc_HOL_Obool)), _u283), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u281, tc_HOL_Obool)), _u282), _u284))) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_Un__iff ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_Un__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u289), _u291), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u289, tc_HOL_Obool)), _u293), _u295))) | hBOOL(hAPP(hAPP(c_member(_u289), _u291), _u293)) | hBOOL(hAPP(hAPP(c_member(_u289), _u291), _u295)) )).
% 20.29/20.51 cnf(fact_Un__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u290), _u292), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u290, tc_HOL_Obool)), _u294), _u296))) | ~hBOOL(hAPP(hAPP(c_member(_u290), _u292), _u294)) )).
% 20.29/20.51 cnf(fact_Un__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u290), _u292), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u290, tc_HOL_Obool)), _u294), _u296))) | ~hBOOL(hAPP(hAPP(c_member(_u290), _u292), _u296)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_Un__assoc ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_Un__assoc-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u297, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u297, tc_HOL_Obool)), _u298), _u299)), _u300) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u297, tc_HOL_Obool)), _u298), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u297, tc_HOL_Obool)), _u299), _u300))) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_bex__Un ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_bex__Un-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u311), _u301), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u311, tc_HOL_Obool)), _u313), _u315))) | ~hBOOL(hAPP(_u317, _u301)) | hBOOL(hAPP(hAPP(c_member(_u311), skolem10(_u317, _u315, _u313, _u311)), _u313)) | hBOOL(hAPP(hAPP(c_member(_u311), skolem11(_u317, _u315, _u313, _u311)), _u315)) )).
% 20.29/20.51 cnf(fact_bex__Un-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u311), _u301), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u311, tc_HOL_Obool)), _u313), _u315))) | ~hBOOL(hAPP(_u317, _u301)) | hBOOL(hAPP(hAPP(c_member(_u311), skolem10(_u317, _u315, _u313, _u311)), _u313)) | hBOOL(hAPP(_u317, skolem11(_u317, _u315, _u313, _u311))) )).
% 20.29/20.51 cnf(fact_bex__Un-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u311), _u301), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u311, tc_HOL_Obool)), _u313), _u315))) | ~hBOOL(hAPP(_u317, _u301)) | hBOOL(hAPP(_u317, skolem10(_u317, _u315, _u313, _u311))) | hBOOL(hAPP(hAPP(c_member(_u311), skolem11(_u317, _u315, _u313, _u311)), _u315)) )).
% 20.29/20.51 cnf(fact_bex__Un-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u311), _u301), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u311, tc_HOL_Obool)), _u313), _u315))) | ~hBOOL(hAPP(_u317, _u301)) | hBOOL(hAPP(_u317, skolem10(_u317, _u315, _u313, _u311))) | hBOOL(hAPP(_u317, skolem11(_u317, _u315, _u313, _u311))) )).
% 20.29/20.51 cnf(fact_bex__Un-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u312), _u304), _u314)) | ~hBOOL(hAPP(_u318, _u304)) | hBOOL(hAPP(hAPP(c_member(_u312), skolem12(_u318, _u316, _u314, _u312)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u312, tc_HOL_Obool)), _u314), _u316))) )).
% 20.29/20.51 cnf(fact_bex__Un-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u312), _u304), _u314)) | ~hBOOL(hAPP(_u318, _u304)) | hBOOL(hAPP(_u318, skolem12(_u318, _u316, _u314, _u312))) )).
% 20.29/20.51 cnf(fact_bex__Un-7, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u312), _u305), _u316)) | ~hBOOL(hAPP(_u318, _u305)) | hBOOL(hAPP(hAPP(c_member(_u312), skolem12(_u318, _u316, _u314, _u312)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u312, tc_HOL_Obool)), _u314), _u316))) )).
% 20.29/20.51 cnf(fact_bex__Un-8, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u312), _u305), _u316)) | ~hBOOL(hAPP(_u318, _u305)) | hBOOL(hAPP(_u318, skolem12(_u318, _u316, _u314, _u312))) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_ball__Un ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_ball__Un-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u329), skolem13(_u335, _u333, _u331, _u329)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u329, tc_HOL_Obool)), _u331), _u333))) | ~hBOOL(hAPP(hAPP(c_member(_u329), _u320), _u331)) | hBOOL(hAPP(_u335, _u320)) )).
% 20.29/20.51 cnf(fact_ball__Un-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u329), skolem13(_u335, _u333, _u331, _u329)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u329, tc_HOL_Obool)), _u331), _u333))) | ~hBOOL(hAPP(hAPP(c_member(_u329), _u321), _u333)) | hBOOL(hAPP(_u335, _u321)) )).
% 20.29/20.51 cnf(fact_ball__Un-3, axiom, ( ~hBOOL(hAPP(_u335, skolem13(_u335, _u333, _u331, _u329))) | ~hBOOL(hAPP(hAPP(c_member(_u329), _u320), _u331)) | hBOOL(hAPP(_u335, _u320)) )).
% 20.29/20.51 cnf(fact_ball__Un-4, axiom, ( ~hBOOL(hAPP(_u335, skolem13(_u335, _u333, _u331, _u329))) | ~hBOOL(hAPP(hAPP(c_member(_u329), _u321), _u333)) | hBOOL(hAPP(_u335, _u321)) )).
% 20.29/20.51 cnf(fact_ball__Un-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u330), _u324), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u330, tc_HOL_Obool)), _u332), _u334))) | hBOOL(hAPP(_u336, _u324)) | hBOOL(hAPP(hAPP(c_member(_u330), skolem14(_u336, _u334, _u332, _u330)), _u332)) | hBOOL(hAPP(hAPP(c_member(_u330), skolem15(_u336, _u334, _u332, _u330)), _u334)) )).
% 20.29/20.51 cnf(fact_ball__Un-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u330), _u324), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u330, tc_HOL_Obool)), _u332), _u334))) | hBOOL(hAPP(_u336, _u324)) | hBOOL(hAPP(hAPP(c_member(_u330), skolem14(_u336, _u334, _u332, _u330)), _u332)) | ~hBOOL(hAPP(_u336, skolem15(_u336, _u334, _u332, _u330))) )).
% 20.29/20.51 cnf(fact_ball__Un-7, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u330), _u324), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u330, tc_HOL_Obool)), _u332), _u334))) | hBOOL(hAPP(_u336, _u324)) | ~hBOOL(hAPP(_u336, skolem14(_u336, _u334, _u332, _u330))) | hBOOL(hAPP(hAPP(c_member(_u330), skolem15(_u336, _u334, _u332, _u330)), _u334)) )).
% 20.29/20.51 cnf(fact_ball__Un-8, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u330), _u324), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u330, tc_HOL_Obool)), _u332), _u334))) | hBOOL(hAPP(_u336, _u324)) | ~hBOOL(hAPP(_u336, skolem14(_u336, _u334, _u332, _u330))) | ~hBOOL(hAPP(_u336, skolem15(_u336, _u334, _u332, _u330))) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_equalityD1 ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_equalityD1-1, axiom, ( ( _u337 != _u338) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u339, tc_HOL_Obool)), _u337), _u338)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_equalityD2 ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_equalityD2-1, axiom, ( ( _u340 != _u341) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u342, tc_HOL_Obool)), _u341), _u340)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_order__eq__refl ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_order__eq__refl-1, axiom, ( ~class_Orderings_Opreorder(_u343) | ( _u344 != _u345) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u343), _u344), _u345)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_UnI1 ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_UnI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u346), _u347), _u348)) | hBOOL(hAPP(hAPP(c_member(_u346), _u347), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u346, tc_HOL_Obool)), _u348), _u349))) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_UnI2 ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_UnI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u350), _u351), _u352)) | hBOOL(hAPP(hAPP(c_member(_u350), _u351), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u350, tc_HOL_Obool)), _u353), _u352))) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_le__funD ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_le__funD-1, axiom, ( ~class_Orderings_Oord(_u354) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u355, _u354)), _u356), _u357)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u354), hAPP(_u356, _u358)), hAPP(_u357, _u358))) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_Un__absorb1 ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_Un__absorb1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u359, tc_HOL_Obool)), _u360), _u361)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u359, tc_HOL_Obool)), _u360), _u361) = _u361) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_Un__absorb2 ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_Un__absorb2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u362, tc_HOL_Obool)), _u363), _u364)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u362, tc_HOL_Obool)), _u364), _u363) = _u364) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_eqset__imp__iff ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_eqset__imp__iff-1, axiom, ( ( _u365 != _u366) | ~hBOOL(hAPP(hAPP(c_member(_u367), _u368), _u365)) | hBOOL(hAPP(hAPP(c_member(_u367), _u368), _u366)) )).
% 20.29/20.51 cnf(fact_eqset__imp__iff-2, axiom, ( ( _u365 != _u366) | ~hBOOL(hAPP(hAPP(c_member(_u367), _u368), _u366)) | hBOOL(hAPP(hAPP(c_member(_u367), _u368), _u365)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_eqelem__imp__iff ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_eqelem__imp__iff-1, axiom, ( ( _u369 != _u370) | ~hBOOL(hAPP(hAPP(c_member(_u371), _u369), _u372)) | hBOOL(hAPP(hAPP(c_member(_u371), _u370), _u372)) )).
% 20.29/20.51 cnf(fact_eqelem__imp__iff-2, axiom, ( ( _u369 != _u370) | ~hBOOL(hAPP(hAPP(c_member(_u371), _u370), _u372)) | hBOOL(hAPP(hAPP(c_member(_u371), _u369), _u372)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_in__mono ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_in__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u373, tc_HOL_Obool)), _u374), _u375)) | ~hBOOL(hAPP(hAPP(c_member(_u373), _u376), _u374)) | hBOOL(hAPP(hAPP(c_member(_u373), _u376), _u375)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_order__antisym__conv ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_order__antisym__conv-1, axiom, ( ~class_Orderings_Oorder(_u377) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u377), _u378), _u379)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u377), _u379), _u378)) | ( _u379 = _u378) )).
% 20.29/20.51 cnf(fact_order__antisym__conv-2, axiom, ( ~class_Orderings_Oorder(_u377) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u377), _u378), _u379)) | ( _u379 != _u378) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u377), _u379), _u378)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_eq__mem__trans ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_eq__mem__trans-1, axiom, ( ( _u380 != _u381) | ~hBOOL(hAPP(hAPP(c_member(_u382), _u381), _u383)) | hBOOL(hAPP(hAPP(c_member(_u382), _u380), _u383)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_ord__eq__le__trans ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_ord__eq__le__trans-1, axiom, ( ~class_Orderings_Oord(_u384) | ( _u385 != _u386) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u384), _u386), _u387)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u384), _u385), _u387)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_xt1_I3_J ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_xt1_I3_J-1, axiom, ( ~class_Orderings_Oorder(_u388) | ( _u389 != _u390) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u388), _u391), _u390)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u388), _u391), _u389)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_set__rev__mp ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_set__rev__mp-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u392), _u393), _u394)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u392, tc_HOL_Obool)), _u394), _u395)) | hBOOL(hAPP(hAPP(c_member(_u392), _u393), _u395)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_set__mp ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_set__mp-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u396, tc_HOL_Obool)), _u397), _u398)) | ~hBOOL(hAPP(hAPP(c_member(_u396), _u399), _u397)) | hBOOL(hAPP(hAPP(c_member(_u396), _u399), _u398)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_subset__trans ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_subset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u400, tc_HOL_Obool)), _u401), _u402)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u400, tc_HOL_Obool)), _u402), _u403)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u400, tc_HOL_Obool)), _u401), _u403)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_ord__le__eq__trans ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_ord__le__eq__trans-1, axiom, ( ~class_Orderings_Oord(_u404) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u404), _u405), _u406)) | ( _u406 != _u407) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u404), _u405), _u407)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_xt1_I4_J ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_xt1_I4_J-1, axiom, ( ~class_Orderings_Oorder(_u408) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u408), _u409), _u410)) | ( _u409 != _u411) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u408), _u411), _u410)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_order__antisym ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_order__antisym-1, axiom, ( ~class_Orderings_Oorder(_u412) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u412), _u413), _u414)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u412), _u414), _u413)) | ( _u413 = _u414) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_order__trans ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_order__trans-1, axiom, ( ~class_Orderings_Opreorder(_u415) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u415), _u416), _u417)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u415), _u417), _u418)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u415), _u416), _u418)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_xt1_I5_J ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_xt1_I5_J-1, axiom, ( ~class_Orderings_Oorder(_u419) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u419), _u420), _u421)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u419), _u421), _u420)) | ( _u421 = _u420) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_xt1_I6_J ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_xt1_I6_J-1, axiom, ( ~class_Orderings_Oorder(_u422) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u422), _u423), _u424)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u422), _u425), _u423)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u422), _u425), _u424)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_Un__least ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_Un__least-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u426, tc_HOL_Obool)), _u427), _u428)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u426, tc_HOL_Obool)), _u429), _u428)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u426, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u426, tc_HOL_Obool)), _u427), _u429)), _u428)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_Un__mono ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_Un__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u430, tc_HOL_Obool)), _u431), _u432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u430, tc_HOL_Obool)), _u433), _u434)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u430, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u430, tc_HOL_Obool)), _u431), _u433)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u430, tc_HOL_Obool)), _u432), _u434))) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_equalityE ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_equalityE-1, axiom, ( ( _u435 != _u436) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u437, tc_HOL_Obool)), _u435), _u436)) )).
% 20.29/20.51 cnf(fact_equalityE-2, axiom, ( ( _u435 != _u436) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u437, tc_HOL_Obool)), _u436), _u435)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_le__funE ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_le__funE-1, axiom, ( ~class_Orderings_Oord(_u438) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u439, _u438)), _u440), _u441)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u438), hAPP(_u440, _u442)), hAPP(_u441, _u442))) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_linorder__le__cases ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_linorder__le__cases-1, axiom, ( ~class_Orderings_Olinorder(_u443) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u443), _u444), _u445)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u443), _u445), _u444)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_subset__insert ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_subset__insert-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u446), _u447), _u448)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u446, tc_HOL_Obool)), _u448), hAPP(hAPP(c_Set_Oinsert(_u446), _u447), _u449))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u446, tc_HOL_Obool)), _u448), _u449)) )).
% 20.29/20.51 cnf(fact_subset__insert-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u446), _u447), _u448)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u446, tc_HOL_Obool)), _u448), _u449)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u446, tc_HOL_Obool)), _u448), hAPP(hAPP(c_Set_Oinsert(_u446), _u447), _u449))) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_insert__subset ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_insert__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u454, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u454), _u456), _u458)), _u460)) | hBOOL(hAPP(hAPP(c_member(_u454), _u456), _u460)) )).
% 20.29/20.51 cnf(fact_insert__subset-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u454, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u454), _u456), _u458)), _u460)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u454, tc_HOL_Obool)), _u458), _u460)) )).
% 20.29/20.51 cnf(fact_insert__subset-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u455), _u457), _u461)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u455, tc_HOL_Obool)), _u459), _u461)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u455, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u455), _u457), _u459)), _u461)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_empty__fold1SetE ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_empty__fold1SetE-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u462, _u463, c_Orderings_Obot__class_Obot(tc_fun(_u462, tc_HOL_Obool))), _u464)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_fold1Set__nonempty ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_fold1Set__nonempty-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u465, _u466, _u467), _u468)) | ( _u467 != c_Orderings_Obot__class_Obot(tc_fun(_u465, tc_HOL_Obool))) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_Un__empty__left ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_Un__empty__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u469, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u469, tc_HOL_Obool))), _u470) = _u470) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_Un__empty__right ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_Un__empty__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u471, tc_HOL_Obool)), _u472), c_Orderings_Obot__class_Obot(tc_fun(_u471, tc_HOL_Obool))) = _u472) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_Un__empty ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_Un__empty-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u476, tc_HOL_Obool)), _u478), _u480) != c_Orderings_Obot__class_Obot(tc_fun(_u476, tc_HOL_Obool))) | ( _u478 = c_Orderings_Obot__class_Obot(tc_fun(_u476, tc_HOL_Obool))) )).
% 20.29/20.51 cnf(fact_Un__empty-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u476, tc_HOL_Obool)), _u478), _u480) != c_Orderings_Obot__class_Obot(tc_fun(_u476, tc_HOL_Obool))) | ( _u480 = c_Orderings_Obot__class_Obot(tc_fun(_u476, tc_HOL_Obool))) )).
% 20.29/20.51 cnf(fact_Un__empty-3, axiom, ( ( _u479 != c_Orderings_Obot__class_Obot(tc_fun(_u477, tc_HOL_Obool))) | ( _u481 != c_Orderings_Obot__class_Obot(tc_fun(_u477, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u477, tc_HOL_Obool)), _u479), _u481) = c_Orderings_Obot__class_Obot(tc_fun(_u477, tc_HOL_Obool))) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_Un__insert__right ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_Un__insert__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u482, tc_HOL_Obool)), _u483), hAPP(hAPP(c_Set_Oinsert(_u482), _u484), _u485)) = hAPP(hAPP(c_Set_Oinsert(_u482), _u484), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u482, tc_HOL_Obool)), _u483), _u485))) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_Un__insert__left ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_Un__insert__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u486, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u486), _u487), _u488)), _u489) = hAPP(hAPP(c_Set_Oinsert(_u486), _u487), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u486, tc_HOL_Obool)), _u488), _u489))) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_bot__least ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_bot__least-1, axiom, ( ~class_Orderings_Obot(_u490) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u490), c_Orderings_Obot__class_Obot(_u490)), _u491)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_all__not__in__conv ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_all__not__in__conv-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u496), skolem16(_u498, _u496)), _u498)) | ( _u498 = c_Orderings_Obot__class_Obot(tc_fun(_u496, tc_HOL_Obool))) )).
% 20.29/20.51 cnf(fact_all__not__in__conv-2, axiom, ( ( _u499 != c_Orderings_Obot__class_Obot(tc_fun(_u497, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u497), _u493), _u499)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_ex__in__conv ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_ex__in__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u504), _u500), _u506)) | ( _u506 != c_Orderings_Obot__class_Obot(tc_fun(_u504, tc_HOL_Obool))) )).
% 20.29/20.51 cnf(fact_ex__in__conv-2, axiom, ( ( _u507 = c_Orderings_Obot__class_Obot(tc_fun(_u505, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u505), skolem17(_u507, _u505)), _u507)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_empty__iff ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_empty__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u508), _u509), c_Orderings_Obot__class_Obot(tc_fun(_u508, tc_HOL_Obool)))) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_equals0D ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_equals0D-1, axiom, ( ( _u510 != c_Orderings_Obot__class_Obot(tc_fun(_u511, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u511), _u512), _u510)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_subset__empty ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_subset__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u515, tc_HOL_Obool)), _u517), c_Orderings_Obot__class_Obot(tc_fun(_u515, tc_HOL_Obool)))) | ( _u517 = c_Orderings_Obot__class_Obot(tc_fun(_u515, tc_HOL_Obool))) )).
% 20.29/20.51 cnf(fact_subset__empty-2, axiom, ( ( _u518 != c_Orderings_Obot__class_Obot(tc_fun(_u516, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u516, tc_HOL_Obool)), _u518), c_Orderings_Obot__class_Obot(tc_fun(_u516, tc_HOL_Obool)))) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_insertI1 ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_insertI1-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u519), _u520), hAPP(hAPP(c_Set_Oinsert(_u519), _u520), _u521))) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_insert__iff ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_insert__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u526), _u528), hAPP(hAPP(c_Set_Oinsert(_u526), _u530), _u532))) | ( _u528 = _u530) | hBOOL(hAPP(hAPP(c_member(_u526), _u528), _u532)) )).
% 20.29/20.51 cnf(fact_insert__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u527), _u529), hAPP(hAPP(c_Set_Oinsert(_u527), _u531), _u533))) | ( _u529 != _u531) )).
% 20.29/20.51 cnf(fact_insert__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u527), _u529), hAPP(hAPP(c_Set_Oinsert(_u527), _u531), _u533))) | ~hBOOL(hAPP(hAPP(c_member(_u527), _u529), _u533)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_insert__ident ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_insert__ident-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u534), _u535), _u536)) | hBOOL(hAPP(hAPP(c_member(_u534), _u535), _u537)) | ( hAPP(hAPP(c_Set_Oinsert(_u534), _u535), _u536) != hAPP(hAPP(c_Set_Oinsert(_u534), _u535), _u537)) | ( _u536 = _u537) )).
% 20.29/20.51 cnf(fact_insert__ident-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u534), _u535), _u536)) | hBOOL(hAPP(hAPP(c_member(_u534), _u535), _u537)) | ( _u536 != _u537) | ( hAPP(hAPP(c_Set_Oinsert(_u534), _u535), _u536) = hAPP(hAPP(c_Set_Oinsert(_u534), _u535), _u537)) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_insertI2 ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_insertI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u538), _u539), _u540)) | hBOOL(hAPP(hAPP(c_member(_u538), _u539), hAPP(hAPP(c_Set_Oinsert(_u538), _u541), _u540))) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_insert__absorb ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_insert__absorb-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u542), _u543), _u544)) | ( hAPP(hAPP(c_Set_Oinsert(_u542), _u543), _u544) = _u544) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_subset__insertI ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_subset__insertI-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u545, tc_HOL_Obool)), _u546), hAPP(hAPP(c_Set_Oinsert(_u545), _u547), _u546))) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_subset__insertI2 ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_subset__insertI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u548, tc_HOL_Obool)), _u549), _u550)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u548, tc_HOL_Obool)), _u549), hAPP(hAPP(c_Set_Oinsert(_u548), _u551), _u550))) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_insert__mono ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_insert__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u552, tc_HOL_Obool)), _u553), _u554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u552, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u552), _u555), _u553)), hAPP(hAPP(c_Set_Oinsert(_u552), _u555), _u554))) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_asm ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_asm-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u556), tc_HOL_Obool)), _u557), _u558)) | c_Hoare__Mirabelle_Ohoare__derivs(_u556, _u558, _u557) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_weaken ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_weaken-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u559, _u560, _u561) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u559), tc_HOL_Obool)), _u562), _u561)) | c_Hoare__Mirabelle_Ohoare__derivs(_u559, _u560, _u562) )).
% 20.29/20.51
% 20.29/20.51 % Formula: fact_thin ( axiom ) converted to clauses:
% 20.29/20.51 cnf(fact_thin-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u563, _u564, _u565) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u563), tc_HOL_Obool)), _u564), _u566)) | c_Hoare__Mirabelle_Ohoare__derivs(_u563, _u566, _u565) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_sup1CI ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_sup1CI-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u570, tc_HOL_Obool)), _u569), _u567), _u568)) | ~hBOOL(hAPP(_u567, _u568)) )).
% 20.29/20.52 cnf(fact_sup1CI-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u570, tc_HOL_Obool)), _u569), _u567), _u568)) | ~hBOOL(hAPP(_u569, _u568)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_sup1E ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_sup1E-1, axiom, ( hBOOL(hAPP(_u572, _u574)) | hBOOL(hAPP(_u573, _u574)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u571, tc_HOL_Obool)), _u572), _u573), _u574)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_sup__apply ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_sup__apply-1, axiom, ( ~class_Lattices_Olattice(_u575) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u576, _u575)), _u577), _u578), _u579) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u575), hAPP(_u577, _u579)), hAPP(_u578, _u579))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_sup__bot__left ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_sup__bot__left-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u580) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u580), c_Orderings_Obot__class_Obot(_u580)), _u581) = _u581) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_sup__bot__right ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_sup__bot__right-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u582) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u582), _u583), c_Orderings_Obot__class_Obot(_u582)) = _u583) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_sup__eq__bot__iff ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_sup__eq__bot__iff-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u584) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u584), _u585), _u586) != c_Orderings_Obot__class_Obot(_u584)) | ( _u585 = c_Orderings_Obot__class_Obot(_u584)) )).
% 20.29/20.52 cnf(fact_sup__eq__bot__iff-2, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u584) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u584), _u585), _u586) != c_Orderings_Obot__class_Obot(_u584)) | ( _u586 = c_Orderings_Obot__class_Obot(_u584)) )).
% 20.29/20.52 cnf(fact_sup__eq__bot__iff-3, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u584) | ( _u585 != c_Orderings_Obot__class_Obot(_u584)) | ( _u586 != c_Orderings_Obot__class_Obot(_u584)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u584), _u585), _u586) = c_Orderings_Obot__class_Obot(_u584)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_le__supE ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_le__supE-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u587) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u587), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u587), _u588), _u589)), _u590)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u587), _u588), _u590)) )).
% 20.29/20.52 cnf(fact_le__supE-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u587) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u587), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u587), _u588), _u589)), _u590)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u587), _u589), _u590)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_sup__mono ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_sup__mono-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u591) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u591), _u592), _u593)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u591), _u594), _u595)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u591), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u591), _u592), _u594)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u591), _u593), _u595))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_sup__least ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_sup__least-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u596) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u596), _u597), _u598)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u596), _u599), _u598)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u596), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u596), _u597), _u599)), _u598)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_le__supI ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_le__supI-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u600) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u600), _u601), _u602)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u600), _u603), _u602)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u600), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u600), _u601), _u603)), _u602)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_sup__absorb1 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_sup__absorb1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u604) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u604), _u605), _u606)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u604), _u606), _u605) = _u606) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_sup__absorb2 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_sup__absorb2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u607) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u607), _u608), _u609)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u607), _u608), _u609) = _u609) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_eq__mem ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_eq__mem-1, axiom, ( ( _u615 = _u617) | ~hBOOL(hAPP(hAPP(c_member(_u613), _u615), hAPP(c_fequal, _u617))) )).
% 20.29/20.52 cnf(fact_eq__mem-2, axiom, ( ( _u616 != _u618) | hBOOL(hAPP(hAPP(c_member(_u614), _u616), hAPP(c_fequal, _u618))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_sup_Oidem ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_sup_Oidem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u619) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u619), _u620), _u620) = _u620) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_sup__idem ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_sup__idem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u621) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u621), _u622), _u622) = _u622) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_sup_Ocommute ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_sup_Ocommute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u623) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u623), _u624), _u625) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u623), _u625), _u624)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_inf__sup__aci_I5_J ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_inf__sup__aci_I5_J-1, axiom, ( ~class_Lattices_Olattice(_u626) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u626), _u627), _u628) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u626), _u628), _u627)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_sup__commute ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_sup__commute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u629) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u629), _u630), _u631) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u629), _u631), _u630)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_sup_Oleft__idem ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_sup_Oleft__idem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u632) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u632), _u633), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u632), _u633), _u634)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u632), _u633), _u634)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_inf__sup__aci_I8_J ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_inf__sup__aci_I8_J-1, axiom, ( ~class_Lattices_Olattice(_u635) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u635), _u636), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u635), _u636), _u637)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u635), _u636), _u637)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_sup__left__idem ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_sup__left__idem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u638) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u638), _u639), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u638), _u639), _u640)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u638), _u639), _u640)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_sup_Oleft__commute ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_sup_Oleft__commute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u641) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u641), _u642), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u641), _u643), _u644)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u641), _u643), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u641), _u642), _u644))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_inf__sup__aci_I7_J ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_inf__sup__aci_I7_J-1, axiom, ( ~class_Lattices_Olattice(_u645) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u645), _u646), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u645), _u647), _u648)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u645), _u647), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u645), _u646), _u648))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_sup__left__commute ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_sup__left__commute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u649) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u649), _u650), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u649), _u651), _u652)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u649), _u651), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u649), _u650), _u652))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_sup_Oassoc ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_sup_Oassoc-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u653) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u653), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u653), _u654), _u655)), _u656) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u653), _u654), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u653), _u655), _u656))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_inf__sup__aci_I6_J ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_inf__sup__aci_I6_J-1, axiom, ( ~class_Lattices_Olattice(_u657) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u657), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u657), _u658), _u659)), _u660) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u657), _u658), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u657), _u659), _u660))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_sup__assoc ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_sup__assoc-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u661) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u661), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u661), _u662), _u663)), _u664) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u661), _u662), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u661), _u663), _u664))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_rev__predicate1D ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_rev__predicate1D-1, axiom, ( ~hBOOL(hAPP(_u665, _u666)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u667, tc_HOL_Obool)), _u665), _u668)) | hBOOL(hAPP(_u668, _u666)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_predicate1D ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_predicate1D-1, axiom, ( ~hBOOL(hAPP(_u670, _u672)) | hBOOL(hAPP(_u671, _u672)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u669, tc_HOL_Obool)), _u670), _u671)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_sup1I1 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_sup1I1-1, axiom, ( ~hBOOL(hAPP(_u673, _u674)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u675, tc_HOL_Obool)), _u673), _u676), _u674)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_sup1I2 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_sup1I2-1, axiom, ( ~hBOOL(hAPP(_u677, _u678)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u679, tc_HOL_Obool)), _u680), _u677), _u678)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_inf__sup__ord_I3_J ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_inf__sup__ord_I3_J-1, axiom, ( ~class_Lattices_Olattice(_u681) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u681), _u682), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u681), _u682), _u683))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_sup__ge1 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_sup__ge1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u684) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u684), _u685), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u684), _u685), _u686))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_inf__sup__ord_I4_J ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_inf__sup__ord_I4_J-1, axiom, ( ~class_Lattices_Olattice(_u687) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u687), _u688), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u687), _u689), _u688))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_sup__ge2 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_sup__ge2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u690) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u690), _u691), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u690), _u692), _u691))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_le__iff__sup ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_le__iff__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u693) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u693), _u694), _u695)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u693), _u694), _u695) = _u695) )).
% 20.29/20.52 cnf(fact_le__iff__sup-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u693) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u693), _u694), _u695) != _u695) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u693), _u694), _u695)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_le__sup__iff ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_le__sup__iff-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u696) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u696), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u696), _u697), _u698)), _u699)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u696), _u697), _u699)) )).
% 20.29/20.52 cnf(fact_le__sup__iff-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u696) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u696), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u696), _u697), _u698)), _u699)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u696), _u698), _u699)) )).
% 20.29/20.52 cnf(fact_le__sup__iff-3, axiom, ( ~class_Lattices_Osemilattice__sup(_u696) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u696), _u697), _u699)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u696), _u698), _u699)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u696), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u696), _u697), _u698)), _u699)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_le__supI1 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_le__supI1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u700) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u700), _u701), _u702)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u700), _u701), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u700), _u702), _u703))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_le__supI2 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_le__supI2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u704) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u704), _u705), _u706)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u704), _u705), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u704), _u707), _u706))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_fold1Set_Ointros ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_fold1Set_Ointros-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u708, _u708, _u709, _u710, _u711), _u712)) | hBOOL(hAPP(hAPP(c_member(_u708), _u710), _u711)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u708, _u709, hAPP(hAPP(c_Set_Oinsert(_u708), _u710), _u711)), _u712)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_folding__one_Oinsert ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_folding__one_Oinsert-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u713, _u714, _u715) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u713), _u716)) | hBOOL(hAPP(hAPP(c_member(_u713), _u717), _u716)) | ( _u716 = c_Orderings_Obot__class_Obot(tc_fun(_u713, tc_HOL_Obool))) | ( hAPP(_u715, hAPP(hAPP(c_Set_Oinsert(_u713), _u717), _u716)) = hAPP(hAPP(_u714, _u717), hAPP(_u715, _u716))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_diff__single__insert ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_diff__single__insert-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u718, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u718, tc_HOL_Obool)), _u719), hAPP(hAPP(c_Set_Oinsert(_u718), _u720), c_Orderings_Obot__class_Obot(tc_fun(_u718, tc_HOL_Obool))))), _u721)) | ~hBOOL(hAPP(hAPP(c_member(_u718), _u720), _u719)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u718, tc_HOL_Obool)), _u719), hAPP(hAPP(c_Set_Oinsert(_u718), _u720), _u721))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_subset__insert__iff ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_subset__insert__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u726, tc_HOL_Obool)), _u728), hAPP(hAPP(c_Set_Oinsert(_u726), _u730), _u732))) | ~hBOOL(hAPP(hAPP(c_member(_u726), _u730), _u728)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u726, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u726, tc_HOL_Obool)), _u728), hAPP(hAPP(c_Set_Oinsert(_u726), _u730), c_Orderings_Obot__class_Obot(tc_fun(_u726, tc_HOL_Obool))))), _u732)) )).
% 20.29/20.52 cnf(fact_subset__insert__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u726, tc_HOL_Obool)), _u728), hAPP(hAPP(c_Set_Oinsert(_u726), _u730), _u732))) | hBOOL(hAPP(hAPP(c_member(_u726), _u730), _u728)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u726, tc_HOL_Obool)), _u728), _u732)) )).
% 20.29/20.52 cnf(fact_subset__insert__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u727, tc_HOL_Obool)), _u729), hAPP(hAPP(c_Set_Oinsert(_u727), _u731), _u733))) | hBOOL(hAPP(hAPP(c_member(_u727), _u731), _u729)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u727, tc_HOL_Obool)), _u729), _u733)) )).
% 20.29/20.52 cnf(fact_subset__insert__iff-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u727, tc_HOL_Obool)), _u729), hAPP(hAPP(c_Set_Oinsert(_u727), _u731), _u733))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u727, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u727, tc_HOL_Obool)), _u729), hAPP(hAPP(c_Set_Oinsert(_u727), _u731), c_Orderings_Obot__class_Obot(tc_fun(_u727, tc_HOL_Obool))))), _u733)) | ~hBOOL(hAPP(hAPP(c_member(_u727), _u731), _u729)) )).
% 20.29/20.52 cnf(fact_subset__insert__iff-5, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u727, tc_HOL_Obool)), _u729), hAPP(hAPP(c_Set_Oinsert(_u727), _u731), _u733))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u727, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u727, tc_HOL_Obool)), _u729), hAPP(hAPP(c_Set_Oinsert(_u727), _u731), c_Orderings_Obot__class_Obot(tc_fun(_u727, tc_HOL_Obool))))), _u733)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u727, tc_HOL_Obool)), _u729), _u733)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_nonempty__iff ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_nonempty__iff-1, axiom, ( ( _u740 = c_Orderings_Obot__class_Obot(tc_fun(_u742, tc_HOL_Obool))) | ( _u740 = hAPP(hAPP(c_Set_Oinsert(_u742), skolem18(_u742, _u740)), skolem19(_u742, _u740))) )).
% 20.29/20.52 cnf(fact_nonempty__iff-2, axiom, ( ( _u740 = c_Orderings_Obot__class_Obot(tc_fun(_u742, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u742), skolem18(_u742, _u740)), skolem19(_u742, _u740))) )).
% 20.29/20.52 cnf(fact_nonempty__iff-3, axiom, ( ( _u741 != hAPP(hAPP(c_Set_Oinsert(_u743), _u737), _u736)) | hBOOL(hAPP(hAPP(c_member(_u743), _u737), _u736)) | ( _u741 != c_Orderings_Obot__class_Obot(tc_fun(_u743, tc_HOL_Obool))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Sup__fin_Oidem ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Sup__fin_Oidem-1, axiom, ( ~class_Lattices_Olattice(_u744) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u744), _u745), _u745) = _u745) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Powp__mono ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Powp__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u746, tc_HOL_Obool)), _u747), _u748)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u746, tc_HOL_Obool), tc_HOL_Obool)), c_Predicate_OPowp(_u746, _u747)), c_Predicate_OPowp(_u746, _u748))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_subsetI ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_subsetI-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u750, tc_HOL_Obool)), _u751), _u752)) | hBOOL(hAPP(hAPP(c_member(_u750), skolem20(_u752, _u751, _u750)), _u751)) )).
% 20.29/20.52 cnf(fact_subsetI-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u750, tc_HOL_Obool)), _u751), _u752)) | ~hBOOL(hAPP(hAPP(c_member(_u750), skolem20(_u752, _u751, _u750)), _u752)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_vimage__insert ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_vimage__insert-1, axiom, ( ( hAPP(c_Set_Ovimage(_u753, _u754, _u755), hAPP(hAPP(c_Set_Oinsert(_u754), _u756), _u757)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u753, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u753, _u754, _u755), hAPP(hAPP(c_Set_Oinsert(_u754), _u756), c_Orderings_Obot__class_Obot(tc_fun(_u754, tc_HOL_Obool))))), hAPP(c_Set_Ovimage(_u753, _u754, _u755), _u757))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_vimage__singleton__eq ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_vimage__singleton__eq-1, axiom, ( ( hAPP(_u769, _u765) = _u771) | ~hBOOL(hAPP(hAPP(c_member(_u763), _u765), hAPP(c_Set_Ovimage(_u763, _u767, _u769), hAPP(hAPP(c_Set_Oinsert(_u767), _u771), c_Orderings_Obot__class_Obot(tc_fun(_u767, tc_HOL_Obool)))))) )).
% 20.29/20.52 cnf(fact_vimage__singleton__eq-2, axiom, ( ( hAPP(_u770, _u766) != _u772) | hBOOL(hAPP(hAPP(c_member(_u764), _u766), hAPP(c_Set_Ovimage(_u764, _u768, _u770), hAPP(hAPP(c_Set_Oinsert(_u768), _u772), c_Orderings_Obot__class_Obot(tc_fun(_u768, tc_HOL_Obool)))))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_insert__Diff ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_insert__Diff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u773), _u774), _u775)) | ( hAPP(hAPP(c_Set_Oinsert(_u773), _u774), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u773, tc_HOL_Obool)), _u775), hAPP(hAPP(c_Set_Oinsert(_u773), _u774), c_Orderings_Obot__class_Obot(tc_fun(_u773, tc_HOL_Obool))))) = _u775) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_finite_OemptyI ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_finite_OemptyI-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u776), c_Orderings_Obot__class_Obot(tc_fun(_u776, tc_HOL_Obool)))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_finite_OinsertI ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_finite_OinsertI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u777), _u778)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u777), hAPP(hAPP(c_Set_Oinsert(_u777), _u779), _u778))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_DiffI ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_DiffI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u780), _u781), _u782)) | hBOOL(hAPP(hAPP(c_member(_u780), _u781), _u783)) | hBOOL(hAPP(hAPP(c_member(_u780), _u781), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u780, tc_HOL_Obool)), _u782), _u783))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_DiffE ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_DiffE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u784), _u785), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u784, tc_HOL_Obool)), _u786), _u787))) | hBOOL(hAPP(hAPP(c_member(_u784), _u785), _u786)) )).
% 20.29/20.52 cnf(fact_DiffE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u784), _u785), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u784, tc_HOL_Obool)), _u786), _u787))) | ~hBOOL(hAPP(hAPP(c_member(_u784), _u785), _u787)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_finite__Diff ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_finite__Diff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u788), _u789)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u788), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u788, tc_HOL_Obool)), _u789), _u790))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_vimageI ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_vimageI-1, axiom, ( ( hAPP(_u791, _u792) != _u793) | ~hBOOL(hAPP(hAPP(c_member(_u794), _u793), _u795)) | hBOOL(hAPP(hAPP(c_member(_u796), _u792), hAPP(c_Set_Ovimage(_u796, _u794, _u791), _u795))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_minus__apply ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_minus__apply-1, axiom, ( ~class_Groups_Ominus(_u797) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u798, _u797)), _u799), _u800), _u801) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u797), hAPP(_u799, _u801)), hAPP(_u800, _u801))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_vimage__Diff ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_vimage__Diff-1, axiom, ( ( hAPP(c_Set_Ovimage(_u802, _u803, _u804), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u803, tc_HOL_Obool)), _u805), _u806)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u802, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u802, _u803, _u804), _u805)), hAPP(c_Set_Ovimage(_u802, _u803, _u804), _u806))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Diff__idemp ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Diff__idemp-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u807, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u807, tc_HOL_Obool)), _u808), _u809)), _u809) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u807, tc_HOL_Obool)), _u808), _u809)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_vimage__code ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_vimage__code-1, axiom, ( hBOOL(hAPP(_u821, hAPP(_u819, _u823))) | ~hBOOL(hAPP(hAPP(c_Set_Ovimage(_u815, _u817, _u819), _u821), _u823)) )).
% 20.29/20.52 cnf(fact_vimage__code-2, axiom, ( ~hBOOL(hAPP(_u822, hAPP(_u820, _u824))) | hBOOL(hAPP(hAPP(c_Set_Ovimage(_u816, _u818, _u820), _u822), _u824)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_finite ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_finite-1, axiom, ( ~class_Finite__Set_Ofinite(_u825) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u825), _u826)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_finite__code ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_finite__code-1, axiom, ( ~class_Finite__Set_Ofinite(_u827) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u827), _u828)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_finite__Diff2 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_finite__Diff2-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u829), _u830)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u829), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u829, tc_HOL_Obool)), _u831), _u830))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u829), _u831)) )).
% 20.29/20.52 cnf(fact_finite__Diff2-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u829), _u830)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u829), _u831)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u829), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u829, tc_HOL_Obool)), _u831), _u830))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_fold__graph__imp__finite ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_fold__graph__imp__finite-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u832, _u833, _u834, _u835, _u836), _u837)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u832), _u836)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_finite__Diff__insert ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_finite__Diff__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u842), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u842, tc_HOL_Obool)), _u844), hAPP(hAPP(c_Set_Oinsert(_u842), _u846), _u848)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u842), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u842, tc_HOL_Obool)), _u844), _u848))) )).
% 20.29/20.52 cnf(fact_finite__Diff__insert-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u843), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u843, tc_HOL_Obool)), _u845), _u849))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u843), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u843, tc_HOL_Obool)), _u845), hAPP(hAPP(c_Set_Oinsert(_u843), _u847), _u849)))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Diff__iff ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u854), _u856), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u854, tc_HOL_Obool)), _u858), _u860))) | hBOOL(hAPP(hAPP(c_member(_u854), _u856), _u858)) )).
% 20.29/20.52 cnf(fact_Diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u854), _u856), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u854, tc_HOL_Obool)), _u858), _u860))) | ~hBOOL(hAPP(hAPP(c_member(_u854), _u856), _u860)) )).
% 20.29/20.52 cnf(fact_Diff__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u855), _u857), _u859)) | hBOOL(hAPP(hAPP(c_member(_u855), _u857), _u861)) | hBOOL(hAPP(hAPP(c_member(_u855), _u857), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u855, tc_HOL_Obool)), _u859), _u861))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_DiffD1 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_DiffD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u862), _u863), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u862, tc_HOL_Obool)), _u864), _u865))) | hBOOL(hAPP(hAPP(c_member(_u862), _u863), _u864)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_DiffD2 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_DiffD2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u866), _u867), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u866, tc_HOL_Obool)), _u868), _u869))) | ~hBOOL(hAPP(hAPP(c_member(_u866), _u867), _u869)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_vimage__eq ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_vimage__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u879), hAPP(_u881, _u877)), _u883)) | ~hBOOL(hAPP(hAPP(c_member(_u875), _u877), hAPP(c_Set_Ovimage(_u875, _u879, _u881), _u883))) )).
% 20.29/20.52 cnf(fact_vimage__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u880), hAPP(_u882, _u878)), _u884)) | hBOOL(hAPP(hAPP(c_member(_u876), _u878), hAPP(c_Set_Ovimage(_u876, _u880, _u882), _u884))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_vimageD ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_vimageD-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u887), hAPP(_u888, _u886)), _u889)) | ~hBOOL(hAPP(hAPP(c_member(_u885), _u886), hAPP(c_Set_Ovimage(_u885, _u887, _u888), _u889))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_vimageI2 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_vimageI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u890), hAPP(_u891, _u892)), _u893)) | hBOOL(hAPP(hAPP(c_member(_u894), _u892), hAPP(c_Set_Ovimage(_u894, _u890, _u891), _u893))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_empty__Diff ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_empty__Diff-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u895, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u895, tc_HOL_Obool))), _u896) = c_Orderings_Obot__class_Obot(tc_fun(_u895, tc_HOL_Obool))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Diff__empty ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Diff__empty-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u897, tc_HOL_Obool)), _u898), c_Orderings_Obot__class_Obot(tc_fun(_u897, tc_HOL_Obool))) = _u898) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Diff__cancel ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Diff__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u899, tc_HOL_Obool)), _u900), _u900) = c_Orderings_Obot__class_Obot(tc_fun(_u899, tc_HOL_Obool))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_vimage__empty ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_vimage__empty-1, axiom, ( ( hAPP(c_Set_Ovimage(_u901, _u902, _u903), c_Orderings_Obot__class_Obot(tc_fun(_u902, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u901, tc_HOL_Obool))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Diff__subset ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u904, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u904, tc_HOL_Obool)), _u905), _u906)), _u905)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Diff__mono ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Diff__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u907, tc_HOL_Obool)), _u908), _u909)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u907, tc_HOL_Obool)), _u910), _u911)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u907, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u907, tc_HOL_Obool)), _u908), _u911)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u907, tc_HOL_Obool)), _u909), _u910))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_double__diff ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_double__diff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u912, tc_HOL_Obool)), _u913), _u914)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u912, tc_HOL_Obool)), _u914), _u915)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u912, tc_HOL_Obool)), _u914), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u912, tc_HOL_Obool)), _u915), _u913)) = _u913) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_vimage__mono ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_vimage__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u916, tc_HOL_Obool)), _u917), _u918)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u919, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u919, _u916, _u920), _u917)), hAPP(c_Set_Ovimage(_u919, _u916, _u920), _u918))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Un__Diff__cancel ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Un__Diff__cancel-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u921, tc_HOL_Obool)), _u922), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u921, tc_HOL_Obool)), _u923), _u922)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u921, tc_HOL_Obool)), _u922), _u923)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Un__Diff__cancel2 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Un__Diff__cancel2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u924, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u924, tc_HOL_Obool)), _u925), _u926)), _u926) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u924, tc_HOL_Obool)), _u925), _u926)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Un__Diff ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Un__Diff-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u927, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u927, tc_HOL_Obool)), _u928), _u929)), _u930) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u927, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u927, tc_HOL_Obool)), _u928), _u930)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u927, tc_HOL_Obool)), _u929), _u930))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_vimage__Un ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_vimage__Un-1, axiom, ( ( hAPP(c_Set_Ovimage(_u931, _u932, _u933), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u932, tc_HOL_Obool)), _u934), _u935)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u931, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u931, _u932, _u933), _u934)), hAPP(c_Set_Ovimage(_u931, _u932, _u933), _u935))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_finite_Oequations_I1_J ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_finite_Oequations_I1_J-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u936), c_Orderings_Obot__class_Obot(tc_fun(_u936, tc_HOL_Obool)))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_finite__insert ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_finite__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u940), hAPP(hAPP(c_Set_Oinsert(_u940), _u942), _u944))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u940), _u944)) )).
% 20.29/20.52 cnf(fact_finite__insert-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u941), _u945)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u941), hAPP(hAPP(c_Set_Oinsert(_u941), _u943), _u945))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_finite__subset ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_finite__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u946, tc_HOL_Obool)), _u947), _u948)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u946), _u948)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u946), _u947)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_rev__finite__subset ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_rev__finite__subset-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u949), _u950)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u949, tc_HOL_Obool)), _u951), _u950)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u949), _u951)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_finite__UnI ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_finite__UnI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u952), _u953)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u952), _u954)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u952), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u952, tc_HOL_Obool)), _u953), _u954))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_finite__Un ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_finite__Un-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u958), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u958, tc_HOL_Obool)), _u960), _u962))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u958), _u960)) )).
% 20.29/20.52 cnf(fact_finite__Un-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u958), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u958, tc_HOL_Obool)), _u960), _u962))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u958), _u962)) )).
% 20.29/20.52 cnf(fact_finite__Un-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u959), _u961)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u959), _u963)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u959), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u959, tc_HOL_Obool)), _u961), _u963))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_fold__graph_Oequations_I1_J ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_fold__graph_Oequations_I1_J-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u964, _u965, _u966, _u967, c_Orderings_Obot__class_Obot(tc_fun(_u964, tc_HOL_Obool))), _u967)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_fold__graph_OemptyI ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_fold__graph_OemptyI-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u968, _u969, _u970, _u971, c_Orderings_Obot__class_Obot(tc_fun(_u968, tc_HOL_Obool))), _u971)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_empty__fold__graphE ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_empty__fold__graphE-1, axiom, ( ( _u976 = _u975) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u972, _u973, _u974, _u975, c_Orderings_Obot__class_Obot(tc_fun(_u972, tc_HOL_Obool))), _u976)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Diff1__fold__graph ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Diff1__fold__graph-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u977, _u978, _u979, _u980, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u977, tc_HOL_Obool)), _u981), hAPP(hAPP(c_Set_Oinsert(_u977), _u982), c_Orderings_Obot__class_Obot(tc_fun(_u977, tc_HOL_Obool))))), _u983)) | ~hBOOL(hAPP(hAPP(c_member(_u977), _u982), _u981)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u977, _u978, _u979, _u980, _u981), hAPP(hAPP(_u979, _u982), _u983))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_folding__one_Oinsert__remove ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_folding__one_Oinsert__remove-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u984, _u985, _u986) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u984), _u987)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u984, tc_HOL_Obool)), _u987), hAPP(hAPP(c_Set_Oinsert(_u984), _u988), c_Orderings_Obot__class_Obot(tc_fun(_u984, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u984, tc_HOL_Obool))) | ( hAPP(_u986, hAPP(hAPP(c_Set_Oinsert(_u984), _u988), _u987)) = _u988) )).
% 20.29/20.52 cnf(fact_folding__one_Oinsert__remove-2, axiom, ( ~c_Finite__Set_Ofolding__one(_u984, _u985, _u986) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u984), _u987)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u984, tc_HOL_Obool)), _u987), hAPP(hAPP(c_Set_Oinsert(_u984), _u988), c_Orderings_Obot__class_Obot(tc_fun(_u984, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u984, tc_HOL_Obool))) | ( hAPP(_u986, hAPP(hAPP(c_Set_Oinsert(_u984), _u988), _u987)) = hAPP(hAPP(_u985, _u988), hAPP(_u986, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u984, tc_HOL_Obool)), _u987), hAPP(hAPP(c_Set_Oinsert(_u984), _u988), c_Orderings_Obot__class_Obot(tc_fun(_u984, tc_HOL_Obool))))))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_insert__Diff1 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_insert__Diff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u989), _u990), _u991)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u989, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u989), _u990), _u992)), _u991) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u989, tc_HOL_Obool)), _u992), _u991)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_insert__Diff__if ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_insert__Diff__if-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u997), _u999), _u1001)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u997, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u997), _u999), _u1003)), _u1001) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u997, tc_HOL_Obool)), _u1003), _u1001)) )).
% 20.29/20.52 cnf(fact_insert__Diff__if-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u998), _u1000), _u1002)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u998, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u998), _u1000), _u1004)), _u1002) = hAPP(hAPP(c_Set_Oinsert(_u998), _u1000), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u998, tc_HOL_Obool)), _u1004), _u1002))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Diff__insert ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Diff__insert-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1005, tc_HOL_Obool)), _u1006), hAPP(hAPP(c_Set_Oinsert(_u1005), _u1007), _u1008)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1005, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1005, tc_HOL_Obool)), _u1006), _u1008)), hAPP(hAPP(c_Set_Oinsert(_u1005), _u1007), c_Orderings_Obot__class_Obot(tc_fun(_u1005, tc_HOL_Obool))))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Diff__insert2 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Diff__insert2-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1009, tc_HOL_Obool)), _u1010), hAPP(hAPP(c_Set_Oinsert(_u1009), _u1011), _u1012)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1009, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1009, tc_HOL_Obool)), _u1010), hAPP(hAPP(c_Set_Oinsert(_u1009), _u1011), c_Orderings_Obot__class_Obot(tc_fun(_u1009, tc_HOL_Obool))))), _u1012)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_insert__Diff__single ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_insert__Diff__single-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u1013), _u1014), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1013, tc_HOL_Obool)), _u1015), hAPP(hAPP(c_Set_Oinsert(_u1013), _u1014), c_Orderings_Obot__class_Obot(tc_fun(_u1013, tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(_u1013), _u1014), _u1015)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Diff__subset__conv ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Diff__subset__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1020, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1020, tc_HOL_Obool)), _u1022), _u1024)), _u1026)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1020, tc_HOL_Obool)), _u1022), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1020, tc_HOL_Obool)), _u1024), _u1026))) )).
% 20.29/20.52 cnf(fact_Diff__subset__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1021, tc_HOL_Obool)), _u1023), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1021, tc_HOL_Obool)), _u1025), _u1027))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1021, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1021, tc_HOL_Obool)), _u1023), _u1025)), _u1027)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Diff__partition ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Diff__partition-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1028, tc_HOL_Obool)), _u1029), _u1030)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1028, tc_HOL_Obool)), _u1029), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1028, tc_HOL_Obool)), _u1030), _u1029)) = _u1030) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_folding__one_Oremove ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_folding__one_Oremove-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u1031, _u1032, _u1033) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1031), _u1034)) | ~hBOOL(hAPP(hAPP(c_member(_u1031), _u1035), _u1034)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1031, tc_HOL_Obool)), _u1034), hAPP(hAPP(c_Set_Oinsert(_u1031), _u1035), c_Orderings_Obot__class_Obot(tc_fun(_u1031, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u1031, tc_HOL_Obool))) | ( hAPP(_u1033, _u1034) = _u1035) )).
% 20.29/20.52 cnf(fact_folding__one_Oremove-2, axiom, ( ~c_Finite__Set_Ofolding__one(_u1031, _u1032, _u1033) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1031), _u1034)) | ~hBOOL(hAPP(hAPP(c_member(_u1031), _u1035), _u1034)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1031, tc_HOL_Obool)), _u1034), hAPP(hAPP(c_Set_Oinsert(_u1031), _u1035), c_Orderings_Obot__class_Obot(tc_fun(_u1031, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u1031, tc_HOL_Obool))) | ( hAPP(_u1033, _u1034) = hAPP(hAPP(_u1032, _u1035), hAPP(_u1033, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1031, tc_HOL_Obool)), _u1034), hAPP(hAPP(c_Set_Oinsert(_u1031), _u1035), c_Orderings_Obot__class_Obot(tc_fun(_u1031, tc_HOL_Obool))))))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_fold__graph_OinsertI ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_fold__graph_OinsertI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1036), _u1037), _u1038)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1036, _u1039, _u1040, _u1041, _u1038), _u1042)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1036, _u1039, _u1040, _u1041, hAPP(hAPP(c_Set_Oinsert(_u1036), _u1037), _u1038)), hAPP(hAPP(_u1040, _u1037), _u1042))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Diff__insert__absorb ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Diff__insert__absorb-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1043), _u1044), _u1045)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1043, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1043), _u1044), _u1045)), hAPP(hAPP(c_Set_Oinsert(_u1043), _u1044), c_Orderings_Obot__class_Obot(tc_fun(_u1043, tc_HOL_Obool)))) = _u1045) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_folding__image__simple_Oremove ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_folding__image__simple_Oremove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1047), _u1052)) | ~hBOOL(hAPP(hAPP(c_member(_u1047), _u1053), _u1052)) | ( hAPP(_u1051, _u1052) = hAPP(hAPP(_u1048, hAPP(_u1050, _u1053)), hAPP(_u1051, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1047, tc_HOL_Obool)), _u1052), hAPP(hAPP(c_Set_Oinsert(_u1047), _u1053), c_Orderings_Obot__class_Obot(tc_fun(_u1047, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u1046, _u1047, _u1048, _u1049, _u1050, _u1051) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_folding__image__simple_Oinsert__remove ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_folding__image__simple_Oinsert__remove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1055), _u1060)) | ( hAPP(_u1059, hAPP(hAPP(c_Set_Oinsert(_u1055), _u1061), _u1060)) = hAPP(hAPP(_u1056, hAPP(_u1058, _u1061)), hAPP(_u1059, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1055, tc_HOL_Obool)), _u1060), hAPP(hAPP(c_Set_Oinsert(_u1055), _u1061), c_Orderings_Obot__class_Obot(tc_fun(_u1055, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u1054, _u1055, _u1056, _u1057, _u1058, _u1059) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Sup__fin_Oremove ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Sup__fin_Oremove-1, axiom, ( ~class_Lattices_Olattice(_u1062) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1062), _u1063)) | ~hBOOL(hAPP(hAPP(c_member(_u1062), _u1064), _u1063)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1062, tc_HOL_Obool)), _u1063), hAPP(hAPP(c_Set_Oinsert(_u1062), _u1064), c_Orderings_Obot__class_Obot(tc_fun(_u1062, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u1062, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u1062, _u1063) = _u1064) )).
% 20.29/20.52 cnf(fact_Sup__fin_Oremove-2, axiom, ( ~class_Lattices_Olattice(_u1062) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1062), _u1063)) | ~hBOOL(hAPP(hAPP(c_member(_u1062), _u1064), _u1063)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1062, tc_HOL_Obool)), _u1063), hAPP(hAPP(c_Set_Oinsert(_u1062), _u1064), c_Orderings_Obot__class_Obot(tc_fun(_u1062, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u1062, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u1062, _u1063) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1062), _u1064), c_Big__Operators_Olattice__class_OSup__fin(_u1062, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1062, tc_HOL_Obool)), _u1063), hAPP(hAPP(c_Set_Oinsert(_u1062), _u1064), c_Orderings_Obot__class_Obot(tc_fun(_u1062, tc_HOL_Obool))))))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_diff__eq__diff__less__eq ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_diff__eq__diff__less__eq-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1065) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1065), _u1066), _u1067) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1065), _u1068), _u1069)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1065), _u1066), _u1067)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1065), _u1068), _u1069)) )).
% 20.29/20.52 cnf(fact_diff__eq__diff__less__eq-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1065) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1065), _u1066), _u1067) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1065), _u1068), _u1069)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1065), _u1068), _u1069)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1065), _u1066), _u1067)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_folding__one_Oclosed ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_folding__one_Oclosed-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u1072, _u1073, _u1074) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1072), _u1075)) | ( _u1075 = c_Orderings_Obot__class_Obot(tc_fun(_u1072, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u1072), hAPP(hAPP(_u1073, skolem21(_u1075, _u1074, _u1073, _u1072)), skolem22(_u1075, _u1074, _u1073, _u1072))), hAPP(hAPP(c_Set_Oinsert(_u1072), skolem21(_u1075, _u1074, _u1073, _u1072)), hAPP(hAPP(c_Set_Oinsert(_u1072), skolem22(_u1075, _u1074, _u1073, _u1072)), c_Orderings_Obot__class_Obot(tc_fun(_u1072, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u1072), hAPP(_u1074, _u1075)), _u1075)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_finite__empty__induct ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_finite__empty__induct-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1078), _u1079)) | ~hBOOL(hAPP(_u1080, _u1079)) | hBOOL(hAPP(_u1080, c_Orderings_Obot__class_Obot(tc_fun(_u1078, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1078), skolem24(_u1080, _u1079, _u1078))) )).
% 20.29/20.52 cnf(fact_finite__empty__induct-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1078), _u1079)) | ~hBOOL(hAPP(_u1080, _u1079)) | hBOOL(hAPP(_u1080, c_Orderings_Obot__class_Obot(tc_fun(_u1078, tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_member(_u1078), skolem23(_u1080, _u1079, _u1078)), skolem24(_u1080, _u1079, _u1078))) )).
% 20.29/20.52 cnf(fact_finite__empty__induct-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1078), _u1079)) | ~hBOOL(hAPP(_u1080, _u1079)) | hBOOL(hAPP(_u1080, c_Orderings_Obot__class_Obot(tc_fun(_u1078, tc_HOL_Obool)))) | hBOOL(hAPP(_u1080, skolem24(_u1080, _u1079, _u1078))) )).
% 20.29/20.52 cnf(fact_finite__empty__induct-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1078), _u1079)) | ~hBOOL(hAPP(_u1080, _u1079)) | hBOOL(hAPP(_u1080, c_Orderings_Obot__class_Obot(tc_fun(_u1078, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u1080, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1078, tc_HOL_Obool)), skolem24(_u1080, _u1079, _u1078)), hAPP(hAPP(c_Set_Oinsert(_u1078), skolem23(_u1080, _u1079, _u1078)), c_Orderings_Obot__class_Obot(tc_fun(_u1078, tc_HOL_Obool)))))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_folding__one__idem_Ounion__idem ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_folding__one__idem_Ounion__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u1081, _u1082, _u1083) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1081), _u1084)) | ( _u1084 = c_Orderings_Obot__class_Obot(tc_fun(_u1081, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1081), _u1085)) | ( _u1085 = c_Orderings_Obot__class_Obot(tc_fun(_u1081, tc_HOL_Obool))) | ( hAPP(_u1083, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1081, tc_HOL_Obool)), _u1084), _u1085)) = hAPP(hAPP(_u1082, hAPP(_u1083, _u1084)), hAPP(_u1083, _u1085))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_folding__one__idem_Osubset__idem ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_folding__one__idem_Osubset__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u1086, _u1087, _u1088) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1086), _u1089)) | ( _u1090 = c_Orderings_Obot__class_Obot(tc_fun(_u1086, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1086, tc_HOL_Obool)), _u1090), _u1089)) | ( hAPP(hAPP(_u1087, hAPP(_u1088, _u1090)), hAPP(_u1088, _u1089)) = hAPP(_u1088, _u1089)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_finite__subset__induct ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_finite__subset__induct-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1093), _u1094)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1093, tc_HOL_Obool)), _u1094), _u1095)) | ~hBOOL(hAPP(_u1096, c_Orderings_Obot__class_Obot(tc_fun(_u1093, tc_HOL_Obool)))) | hBOOL(hAPP(_u1096, _u1094)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1093), skolem26(_u1096, _u1095, _u1094, _u1093))) )).
% 20.29/20.52 cnf(fact_finite__subset__induct-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1093), _u1094)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1093, tc_HOL_Obool)), _u1094), _u1095)) | ~hBOOL(hAPP(_u1096, c_Orderings_Obot__class_Obot(tc_fun(_u1093, tc_HOL_Obool)))) | hBOOL(hAPP(_u1096, _u1094)) | hBOOL(hAPP(hAPP(c_member(_u1093), skolem25(_u1096, _u1095, _u1094, _u1093)), _u1095)) )).
% 20.29/20.52 cnf(fact_finite__subset__induct-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1093), _u1094)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1093, tc_HOL_Obool)), _u1094), _u1095)) | ~hBOOL(hAPP(_u1096, c_Orderings_Obot__class_Obot(tc_fun(_u1093, tc_HOL_Obool)))) | hBOOL(hAPP(_u1096, _u1094)) | ~hBOOL(hAPP(hAPP(c_member(_u1093), skolem25(_u1096, _u1095, _u1094, _u1093)), skolem26(_u1096, _u1095, _u1094, _u1093))) )).
% 20.29/20.52 cnf(fact_finite__subset__induct-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1093), _u1094)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1093, tc_HOL_Obool)), _u1094), _u1095)) | ~hBOOL(hAPP(_u1096, c_Orderings_Obot__class_Obot(tc_fun(_u1093, tc_HOL_Obool)))) | hBOOL(hAPP(_u1096, _u1094)) | hBOOL(hAPP(_u1096, skolem26(_u1096, _u1095, _u1094, _u1093))) )).
% 20.29/20.52 cnf(fact_finite__subset__induct-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1093), _u1094)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1093, tc_HOL_Obool)), _u1094), _u1095)) | ~hBOOL(hAPP(_u1096, c_Orderings_Obot__class_Obot(tc_fun(_u1093, tc_HOL_Obool)))) | hBOOL(hAPP(_u1096, _u1094)) | ~hBOOL(hAPP(_u1096, hAPP(hAPP(c_Set_Oinsert(_u1093), skolem25(_u1096, _u1095, _u1094, _u1093)), skolem26(_u1096, _u1095, _u1094, _u1093)))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_folding__one__idem_Oinsert__idem ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_folding__one__idem_Oinsert__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u1097, _u1098, _u1099) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1097), _u1100)) | ( _u1100 = c_Orderings_Obot__class_Obot(tc_fun(_u1097, tc_HOL_Obool))) | ( hAPP(_u1099, hAPP(hAPP(c_Set_Oinsert(_u1097), _u1101), _u1100)) = hAPP(hAPP(_u1098, _u1101), hAPP(_u1099, _u1100))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Sup__fin_Oinsert__remove ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Sup__fin_Oinsert__remove-1, axiom, ( ~class_Lattices_Olattice(_u1102) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1102), _u1103)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1102, tc_HOL_Obool)), _u1103), hAPP(hAPP(c_Set_Oinsert(_u1102), _u1104), c_Orderings_Obot__class_Obot(tc_fun(_u1102, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u1102, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u1102, hAPP(hAPP(c_Set_Oinsert(_u1102), _u1104), _u1103)) = _u1104) )).
% 20.29/20.52 cnf(fact_Sup__fin_Oinsert__remove-2, axiom, ( ~class_Lattices_Olattice(_u1102) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1102), _u1103)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1102, tc_HOL_Obool)), _u1103), hAPP(hAPP(c_Set_Oinsert(_u1102), _u1104), c_Orderings_Obot__class_Obot(tc_fun(_u1102, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u1102, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u1102, hAPP(hAPP(c_Set_Oinsert(_u1102), _u1104), _u1103)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1102), _u1104), c_Big__Operators_Olattice__class_OSup__fin(_u1102, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1102, tc_HOL_Obool)), _u1103), hAPP(hAPP(c_Set_Oinsert(_u1102), _u1104), c_Orderings_Obot__class_Obot(tc_fun(_u1102, tc_HOL_Obool))))))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_folding__one__idem_Oidem ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_folding__one__idem_Oidem-1, axiom, ( ( hAPP(hAPP(_u1106, _u1108), _u1108) = _u1108) | ~c_Finite__Set_Ofolding__one__idem(_u1105, _u1106, _u1107) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_folding__image__simple_Oempty ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_folding__image__simple_Oempty-1, axiom, ( ( hAPP(_u1114, c_Orderings_Obot__class_Obot(tc_fun(_u1110, tc_HOL_Obool))) = _u1112) | ~c_Finite__Set_Ofolding__image__simple(_u1109, _u1110, _u1111, _u1112, _u1113, _u1114) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Sup__fin_Osingleton ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Sup__fin_Osingleton-1, axiom, ( ~class_Lattices_Olattice(_u1115) | ( c_Big__Operators_Olattice__class_OSup__fin(_u1115, hAPP(hAPP(c_Set_Oinsert(_u1115), _u1116), c_Orderings_Obot__class_Obot(tc_fun(_u1115, tc_HOL_Obool)))) = _u1116) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_diff__eq__diff__eq ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_diff__eq__diff__eq-1, axiom, ( ~class_Groups_Oab__group__add(_u1117) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1117), _u1118), _u1119) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1117), _u1120), _u1121)) | ( _u1118 != _u1119) | ( _u1120 = _u1121) )).
% 20.29/20.52 cnf(fact_diff__eq__diff__eq-2, axiom, ( ~class_Groups_Oab__group__add(_u1117) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1117), _u1118), _u1119) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1117), _u1120), _u1121)) | ( _u1120 != _u1121) | ( _u1118 = _u1119) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Sup__fin_Oin__idem ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Sup__fin_Oin__idem-1, axiom, ( ~class_Lattices_Olattice(_u1122) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1122), _u1123)) | ~hBOOL(hAPP(hAPP(c_member(_u1122), _u1124), _u1123)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1122), _u1124), c_Big__Operators_Olattice__class_OSup__fin(_u1122, _u1123)) = c_Big__Operators_Olattice__class_OSup__fin(_u1122, _u1123)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_folding__one__idem_Oin__idem ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_folding__one__idem_Oin__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u1125, _u1126, _u1127) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1125), _u1128)) | ~hBOOL(hAPP(hAPP(c_member(_u1125), _u1129), _u1128)) | ( hAPP(hAPP(_u1126, _u1129), hAPP(_u1127, _u1128)) = hAPP(_u1127, _u1128)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Sup__fin_Oinsert__idem ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Sup__fin_Oinsert__idem-1, axiom, ( ~class_Lattices_Olattice(_u1130) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1130), _u1131)) | ( _u1131 = c_Orderings_Obot__class_Obot(tc_fun(_u1130, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u1130, hAPP(hAPP(c_Set_Oinsert(_u1130), _u1132), _u1131)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1130), _u1132), c_Big__Operators_Olattice__class_OSup__fin(_u1130, _u1131))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Sup__fin_Osubset__idem ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Sup__fin_Osubset__idem-1, axiom, ( ~class_Lattices_Olattice(_u1133) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1133), _u1134)) | ( _u1135 = c_Orderings_Obot__class_Obot(tc_fun(_u1133, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1133, tc_HOL_Obool)), _u1135), _u1134)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1133), c_Big__Operators_Olattice__class_OSup__fin(_u1133, _u1135)), c_Big__Operators_Olattice__class_OSup__fin(_u1133, _u1134)) = c_Big__Operators_Olattice__class_OSup__fin(_u1133, _u1134)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Sup__fin_Ounion__idem ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Sup__fin_Ounion__idem-1, axiom, ( ~class_Lattices_Olattice(_u1136) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1136), _u1137)) | ( _u1137 = c_Orderings_Obot__class_Obot(tc_fun(_u1136, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1136), _u1138)) | ( _u1138 = c_Orderings_Obot__class_Obot(tc_fun(_u1136, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u1136, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1136, tc_HOL_Obool)), _u1137), _u1138)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1136), c_Big__Operators_Olattice__class_OSup__fin(_u1136, _u1137)), c_Big__Operators_Olattice__class_OSup__fin(_u1136, _u1138))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_folding__image__simple_Oinsert ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_folding__image__simple_Oinsert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1140), _u1145)) | hBOOL(hAPP(hAPP(c_member(_u1140), _u1146), _u1145)) | ( hAPP(_u1144, hAPP(hAPP(c_Set_Oinsert(_u1140), _u1146), _u1145)) = hAPP(hAPP(_u1141, hAPP(_u1143, _u1146)), hAPP(_u1144, _u1145))) | ~c_Finite__Set_Ofolding__image__simple(_u1139, _u1140, _u1141, _u1142, _u1143, _u1144) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Sup__fin_Oinsert ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Sup__fin_Oinsert-1, axiom, ( ~class_Lattices_Olattice(_u1147) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1147), _u1148)) | hBOOL(hAPP(hAPP(c_member(_u1147), _u1149), _u1148)) | ( _u1148 = c_Orderings_Obot__class_Obot(tc_fun(_u1147, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u1147, hAPP(hAPP(c_Set_Oinsert(_u1147), _u1149), _u1148)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1147), _u1149), c_Big__Operators_Olattice__class_OSup__fin(_u1147, _u1148))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Sup__fin_Oclosed ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Sup__fin_Oclosed-1, axiom, ( ~class_Lattices_Olattice(_u1152) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1152), _u1153)) | ( _u1153 = c_Orderings_Obot__class_Obot(tc_fun(_u1152, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u1152), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1152), skolem27(_u1153, _u1152)), skolem28(_u1153, _u1152))), hAPP(hAPP(c_Set_Oinsert(_u1152), skolem27(_u1153, _u1152)), hAPP(hAPP(c_Set_Oinsert(_u1152), skolem28(_u1153, _u1152)), c_Orderings_Obot__class_Obot(tc_fun(_u1152, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u1152), c_Big__Operators_Olattice__class_OSup__fin(_u1152, _u1153)), _u1153)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_insert__fold1SetE ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_insert__fold1SetE-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1156, _u1157, hAPP(hAPP(c_Set_Oinsert(_u1156), _u1158), _u1159)), _u1160)) | ( hAPP(hAPP(c_Set_Oinsert(_u1156), _u1158), _u1159) = hAPP(hAPP(c_Set_Oinsert(_u1156), skolem29(_u1160, _u1159, _u1158, _u1157, _u1156)), skolem30(_u1160, _u1159, _u1158, _u1157, _u1156))) )).
% 20.29/20.52 cnf(fact_insert__fold1SetE-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1156, _u1157, hAPP(hAPP(c_Set_Oinsert(_u1156), _u1158), _u1159)), _u1160)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1156, _u1156, _u1157, skolem29(_u1160, _u1159, _u1158, _u1157, _u1156), skolem30(_u1160, _u1159, _u1158, _u1157, _u1156)), _u1160)) )).
% 20.29/20.52 cnf(fact_insert__fold1SetE-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1156, _u1157, hAPP(hAPP(c_Set_Oinsert(_u1156), _u1158), _u1159)), _u1160)) | ~hBOOL(hAPP(hAPP(c_member(_u1156), skolem29(_u1160, _u1159, _u1158, _u1157, _u1156)), skolem30(_u1160, _u1159, _u1158, _u1157, _u1156))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_fold1Set_Oequations ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_fold1Set_Oequations-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1170, _u1172, hAPP(hAPP(c_Set_Oinsert(_u1170), _u1174), _u1176)), _u1178)) | ( hAPP(hAPP(c_Set_Oinsert(_u1170), _u1174), _u1176) = hAPP(hAPP(c_Set_Oinsert(_u1170), skolem31(_u1178, _u1176, _u1174, _u1172, _u1170)), skolem32(_u1178, _u1176, _u1174, _u1172, _u1170))) )).
% 20.29/20.52 cnf(fact_fold1Set_Oequations-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1170, _u1172, hAPP(hAPP(c_Set_Oinsert(_u1170), _u1174), _u1176)), _u1178)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1170, _u1170, _u1172, skolem31(_u1178, _u1176, _u1174, _u1172, _u1170), skolem32(_u1178, _u1176, _u1174, _u1172, _u1170)), _u1178)) )).
% 20.29/20.52 cnf(fact_fold1Set_Oequations-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1170, _u1172, hAPP(hAPP(c_Set_Oinsert(_u1170), _u1174), _u1176)), _u1178)) | ~hBOOL(hAPP(hAPP(c_member(_u1170), skolem31(_u1178, _u1176, _u1174, _u1172, _u1170)), skolem32(_u1178, _u1176, _u1174, _u1172, _u1170))) )).
% 20.29/20.52 cnf(fact_fold1Set_Oequations-4, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u1171), _u1175), _u1177) != hAPP(hAPP(c_Set_Oinsert(_u1171), _u1164), _u1163)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1171, _u1171, _u1173, _u1164, _u1163), _u1179)) | hBOOL(hAPP(hAPP(c_member(_u1171), _u1164), _u1163)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1171, _u1173, hAPP(hAPP(c_Set_Oinsert(_u1171), _u1175), _u1177)), _u1179)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_setsum__diff1__ring ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_setsum__diff1__ring-1, axiom, ( ~class_Rings_Oring(_u1180) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1181), _u1182)) | ~hBOOL(hAPP(hAPP(c_member(_u1181), _u1183), _u1182)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1181, _u1180), _u1184), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1181, tc_HOL_Obool)), _u1182), hAPP(hAPP(c_Set_Oinsert(_u1181), _u1183), c_Orderings_Obot__class_Obot(tc_fun(_u1181, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1180), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1181, _u1180), _u1184), _u1182)), hAPP(_u1184, _u1183))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_setsum__diff1 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_setsum__diff1-1, axiom, ( ~class_Groups_Oab__group__add(_u1185) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1186), _u1187)) | ~hBOOL(hAPP(hAPP(c_member(_u1186), _u1188), _u1187)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1186, _u1185), _u1189), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1186, tc_HOL_Obool)), _u1187), hAPP(hAPP(c_Set_Oinsert(_u1186), _u1188), c_Orderings_Obot__class_Obot(tc_fun(_u1186, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1185), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1186, _u1185), _u1189), _u1187)), hAPP(_u1189, _u1188))) )).
% 20.29/20.52 cnf(fact_setsum__diff1-2, axiom, ( ~class_Groups_Oab__group__add(_u1185) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1186), _u1187)) | hBOOL(hAPP(hAPP(c_member(_u1186), _u1188), _u1187)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1186, _u1185), _u1189), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1186, tc_HOL_Obool)), _u1187), hAPP(hAPP(c_Set_Oinsert(_u1186), _u1188), c_Orderings_Obot__class_Obot(tc_fun(_u1186, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1186, _u1185), _u1189), _u1187)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_fold__graph__permute__diff ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_fold__graph__permute__diff-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u1190) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1190, _u1190, c_Groups_Otimes__class_Otimes(_u1190), _u1191, _u1192), _u1193)) | ~hBOOL(hAPP(hAPP(c_member(_u1190), _u1194), _u1192)) | hBOOL(hAPP(hAPP(c_member(_u1190), _u1191), _u1192)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1190, _u1190, c_Groups_Otimes__class_Otimes(_u1190), _u1194, hAPP(hAPP(c_Set_Oinsert(_u1190), _u1191), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1190, tc_HOL_Obool)), _u1192), hAPP(hAPP(c_Set_Oinsert(_u1190), _u1194), c_Orderings_Obot__class_Obot(tc_fun(_u1190, tc_HOL_Obool)))))), _u1193)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Sup__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Sup__fin_Ounion__disjoint-1, axiom, ( ~class_Lattices_Olattice(_u1195) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1195), _u1196)) | ( _u1196 = c_Orderings_Obot__class_Obot(tc_fun(_u1195, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1195), _u1197)) | ( _u1197 = c_Orderings_Obot__class_Obot(tc_fun(_u1195, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1195, tc_HOL_Obool)), _u1196), _u1197) != c_Orderings_Obot__class_Obot(tc_fun(_u1195, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u1195, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1195, tc_HOL_Obool)), _u1196), _u1197)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1195), c_Big__Operators_Olattice__class_OSup__fin(_u1195, _u1196)), c_Big__Operators_Olattice__class_OSup__fin(_u1195, _u1197))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Sup__fin_Ounion__inter ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Sup__fin_Ounion__inter-1, axiom, ( ~class_Lattices_Olattice(_u1198) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1198), _u1199)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1198), _u1200)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1198, tc_HOL_Obool)), _u1199), _u1200) = c_Orderings_Obot__class_Obot(tc_fun(_u1198, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1198), c_Big__Operators_Olattice__class_OSup__fin(_u1198, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1198, tc_HOL_Obool)), _u1199), _u1200))), c_Big__Operators_Olattice__class_OSup__fin(_u1198, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1198, tc_HOL_Obool)), _u1199), _u1200))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1198), c_Big__Operators_Olattice__class_OSup__fin(_u1198, _u1199)), c_Big__Operators_Olattice__class_OSup__fin(_u1198, _u1200))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_psubset__insert__iff ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_psubset__insert__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1205, tc_HOL_Obool)), _u1207), hAPP(hAPP(c_Set_Oinsert(_u1205), _u1209), _u1211))) | ~hBOOL(hAPP(hAPP(c_member(_u1205), _u1209), _u1211)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1205, tc_HOL_Obool)), _u1207), _u1211)) )).
% 20.29/20.52 cnf(fact_psubset__insert__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1205, tc_HOL_Obool)), _u1207), hAPP(hAPP(c_Set_Oinsert(_u1205), _u1209), _u1211))) | hBOOL(hAPP(hAPP(c_member(_u1205), _u1209), _u1211)) | ~hBOOL(hAPP(hAPP(c_member(_u1205), _u1209), _u1207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1205, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1205, tc_HOL_Obool)), _u1207), hAPP(hAPP(c_Set_Oinsert(_u1205), _u1209), c_Orderings_Obot__class_Obot(tc_fun(_u1205, tc_HOL_Obool))))), _u1211)) )).
% 20.29/20.52 cnf(fact_psubset__insert__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1205, tc_HOL_Obool)), _u1207), hAPP(hAPP(c_Set_Oinsert(_u1205), _u1209), _u1211))) | hBOOL(hAPP(hAPP(c_member(_u1205), _u1209), _u1211)) | hBOOL(hAPP(hAPP(c_member(_u1205), _u1209), _u1207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1205, tc_HOL_Obool)), _u1207), _u1211)) )).
% 20.29/20.52 cnf(fact_psubset__insert__iff-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1206, tc_HOL_Obool)), _u1208), hAPP(hAPP(c_Set_Oinsert(_u1206), _u1210), _u1212))) | hBOOL(hAPP(hAPP(c_member(_u1206), _u1210), _u1212)) | hBOOL(hAPP(hAPP(c_member(_u1206), _u1210), _u1208)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1206, tc_HOL_Obool)), _u1208), _u1212)) )).
% 20.29/20.52 cnf(fact_psubset__insert__iff-5, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1206, tc_HOL_Obool)), _u1208), hAPP(hAPP(c_Set_Oinsert(_u1206), _u1210), _u1212))) | hBOOL(hAPP(hAPP(c_member(_u1206), _u1210), _u1212)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1206, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1206, tc_HOL_Obool)), _u1208), hAPP(hAPP(c_Set_Oinsert(_u1206), _u1210), c_Orderings_Obot__class_Obot(tc_fun(_u1206, tc_HOL_Obool))))), _u1212)) | ~hBOOL(hAPP(hAPP(c_member(_u1206), _u1210), _u1208)) )).
% 20.29/20.52 cnf(fact_psubset__insert__iff-6, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1206, tc_HOL_Obool)), _u1208), hAPP(hAPP(c_Set_Oinsert(_u1206), _u1210), _u1212))) | hBOOL(hAPP(hAPP(c_member(_u1206), _u1210), _u1212)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1206, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1206, tc_HOL_Obool)), _u1208), hAPP(hAPP(c_Set_Oinsert(_u1206), _u1210), c_Orderings_Obot__class_Obot(tc_fun(_u1206, tc_HOL_Obool))))), _u1212)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1206, tc_HOL_Obool)), _u1208), _u1212)) )).
% 20.29/20.52 cnf(fact_psubset__insert__iff-7, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1206, tc_HOL_Obool)), _u1208), hAPP(hAPP(c_Set_Oinsert(_u1206), _u1210), _u1212))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1206, tc_HOL_Obool)), _u1208), _u1212)) | ~hBOOL(hAPP(hAPP(c_member(_u1206), _u1210), _u1212)) )).
% 20.29/20.52 cnf(fact_psubset__insert__iff-8, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1206, tc_HOL_Obool)), _u1208), hAPP(hAPP(c_Set_Oinsert(_u1206), _u1210), _u1212))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1206, tc_HOL_Obool)), _u1208), _u1212)) | hBOOL(hAPP(hAPP(c_member(_u1206), _u1210), _u1208)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1206, tc_HOL_Obool)), _u1208), _u1212)) )).
% 20.29/20.52 cnf(fact_psubset__insert__iff-9, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1206, tc_HOL_Obool)), _u1208), hAPP(hAPP(c_Set_Oinsert(_u1206), _u1210), _u1212))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1206, tc_HOL_Obool)), _u1208), _u1212)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1206, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1206, tc_HOL_Obool)), _u1208), hAPP(hAPP(c_Set_Oinsert(_u1206), _u1210), c_Orderings_Obot__class_Obot(tc_fun(_u1206, tc_HOL_Obool))))), _u1212)) | ~hBOOL(hAPP(hAPP(c_member(_u1206), _u1210), _u1208)) )).
% 20.29/20.52 cnf(fact_psubset__insert__iff-10, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1206, tc_HOL_Obool)), _u1208), hAPP(hAPP(c_Set_Oinsert(_u1206), _u1210), _u1212))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1206, tc_HOL_Obool)), _u1208), _u1212)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1206, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1206, tc_HOL_Obool)), _u1208), hAPP(hAPP(c_Set_Oinsert(_u1206), _u1210), c_Orderings_Obot__class_Obot(tc_fun(_u1206, tc_HOL_Obool))))), _u1212)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1206, tc_HOL_Obool)), _u1208), _u1212)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_folding__image__simple__idem_Ounion__idem ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_folding__image__simple__idem_Ounion__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1214), _u1219)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1214), _u1220)) | ( hAPP(_u1218, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1214, tc_HOL_Obool)), _u1219), _u1220)) = hAPP(hAPP(_u1215, hAPP(_u1218, _u1219)), hAPP(_u1218, _u1220))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u1213, _u1214, _u1215, _u1216, _u1217, _u1218) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_folding__image__simple__idem_Osubset__idem ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_folding__image__simple__idem_Osubset__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1222), _u1227)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1222, tc_HOL_Obool)), _u1228), _u1227)) | ( hAPP(hAPP(_u1223, hAPP(_u1226, _u1228)), hAPP(_u1226, _u1227)) = hAPP(_u1226, _u1227)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u1221, _u1222, _u1223, _u1224, _u1225, _u1226) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_inf1I ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_inf1I-1, axiom, ( ~hBOOL(hAPP(_u1229, _u1230)) | ~hBOOL(hAPP(_u1231, _u1230)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1232, tc_HOL_Obool)), _u1229), _u1231), _u1230)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_inf1E ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_inf1E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1233, tc_HOL_Obool)), _u1234), _u1235), _u1236)) | hBOOL(hAPP(_u1234, _u1236)) )).
% 20.29/20.52 cnf(fact_inf1E-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1233, tc_HOL_Obool)), _u1234), _u1235), _u1236)) | hBOOL(hAPP(_u1235, _u1236)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_IntI ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_IntI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1237), _u1238), _u1239)) | ~hBOOL(hAPP(hAPP(c_member(_u1237), _u1238), _u1240)) | hBOOL(hAPP(hAPP(c_member(_u1237), _u1238), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1237, tc_HOL_Obool)), _u1239), _u1240))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_IntE ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_IntE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1241), _u1242), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1241, tc_HOL_Obool)), _u1243), _u1244))) | hBOOL(hAPP(hAPP(c_member(_u1241), _u1242), _u1243)) )).
% 20.29/20.52 cnf(fact_IntE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1241), _u1242), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1241, tc_HOL_Obool)), _u1243), _u1244))) | hBOOL(hAPP(hAPP(c_member(_u1241), _u1242), _u1244)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_finite__Int ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_finite__Int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u1245), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1245, tc_HOL_Obool)), _u1246), _u1247))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1245), _u1246)) )).
% 20.29/20.52 cnf(fact_finite__Int-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u1245), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1245, tc_HOL_Obool)), _u1246), _u1247))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1245), _u1247)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_ab__semigroup__mult__class_Omult__ac_I1_J ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_ab__semigroup__mult__class_Omult__ac_I1_J-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u1248) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1248), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1248), _u1249), _u1250)), _u1251) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1248), _u1249), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1248), _u1250), _u1251))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_times_Oidem ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_times_Oidem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u1252) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1252), _u1253), _u1253) = _u1253) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_mult__idem ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_mult__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u1254) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1254), _u1255), _u1255) = _u1255) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_inf_Oidem ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_inf_Oidem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1256) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1256), _u1257), _u1257) = _u1257) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_inf__idem ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_inf__idem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1258) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1258), _u1259), _u1259) = _u1259) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_inf_Ocommute ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_inf_Ocommute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1260) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1260), _u1261), _u1262) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1260), _u1262), _u1261)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_inf__sup__aci_I1_J ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_inf__sup__aci_I1_J-1, axiom, ( ~class_Lattices_Olattice(_u1263) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1263), _u1264), _u1265) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1263), _u1265), _u1264)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_inf__commute ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_inf__commute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1266) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1266), _u1267), _u1268) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1266), _u1268), _u1267)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_mult__left__idem ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_mult__left__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u1269) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1269), _u1270), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1269), _u1270), _u1271)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1269), _u1270), _u1271)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_inf_Oleft__idem ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_inf_Oleft__idem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1272) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1272), _u1273), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1272), _u1273), _u1274)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1272), _u1273), _u1274)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_inf__sup__aci_I4_J ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_inf__sup__aci_I4_J-1, axiom, ( ~class_Lattices_Olattice(_u1275) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1275), _u1276), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1275), _u1276), _u1277)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1275), _u1276), _u1277)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_inf__left__idem ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_inf__left__idem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1278) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1278), _u1279), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1278), _u1279), _u1280)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1278), _u1279), _u1280)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_inf_Oleft__commute ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_inf_Oleft__commute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1281) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1281), _u1282), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1281), _u1283), _u1284)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1281), _u1283), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1281), _u1282), _u1284))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_inf__sup__aci_I3_J ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_inf__sup__aci_I3_J-1, axiom, ( ~class_Lattices_Olattice(_u1285) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1285), _u1286), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1285), _u1287), _u1288)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1285), _u1287), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1285), _u1286), _u1288))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_inf__left__commute ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_inf__left__commute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1289) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1289), _u1290), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1289), _u1291), _u1292)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1289), _u1291), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1289), _u1290), _u1292))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_inf_Oassoc ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_inf_Oassoc-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1293) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1293), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1293), _u1294), _u1295)), _u1296) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1293), _u1294), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1293), _u1295), _u1296))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_inf__sup__aci_I2_J ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_inf__sup__aci_I2_J-1, axiom, ( ~class_Lattices_Olattice(_u1297) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1297), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1297), _u1298), _u1299)), _u1300) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1297), _u1298), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1297), _u1299), _u1300))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_inf__assoc ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_inf__assoc-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1301) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1301), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1301), _u1302), _u1303)), _u1304) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1301), _u1302), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1301), _u1303), _u1304))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_inf__apply ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_inf__apply-1, axiom, ( ~class_Lattices_Olattice(_u1305) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1306, _u1305)), _u1307), _u1308), _u1309) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1305), hAPP(_u1307, _u1309)), hAPP(_u1308, _u1309))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_less__infI1 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_less__infI1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1310) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1310), _u1311), _u1312)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1310), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1310), _u1311), _u1313)), _u1312)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_less__infI2 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_less__infI2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1314) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1314), _u1315), _u1316)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1314), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1314), _u1317), _u1315)), _u1316)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_inf1D1 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_inf1D1-1, axiom, ( hBOOL(hAPP(_u1319, _u1321)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1318, tc_HOL_Obool)), _u1319), _u1320), _u1321)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_inf1D2 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_inf1D2-1, axiom, ( hBOOL(hAPP(_u1324, _u1325)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1322, tc_HOL_Obool)), _u1323), _u1324), _u1325)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_order__less__irrefl ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_order__less__irrefl-1, axiom, ( ~class_Orderings_Opreorder(_u1326) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1326), _u1327), _u1327)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_linorder__neq__iff ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_linorder__neq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u1328) | ( _u1329 = _u1330) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1328), _u1329), _u1330)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1328), _u1330), _u1329)) )).
% 20.29/20.52 cnf(fact_linorder__neq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u1328) | ( _u1329 != _u1330) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1328), _u1329), _u1330)) )).
% 20.29/20.52 cnf(fact_linorder__neq__iff-3, axiom, ( ~class_Orderings_Olinorder(_u1328) | ( _u1329 != _u1330) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1328), _u1330), _u1329)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_not__less__iff__gr__or__eq ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_not__less__iff__gr__or__eq-1, axiom, ( ~class_Orderings_Olinorder(_u1331) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1331), _u1332), _u1333)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1331), _u1333), _u1332)) | ( _u1332 = _u1333) )).
% 20.29/20.52 cnf(fact_not__less__iff__gr__or__eq-2, axiom, ( ~class_Orderings_Olinorder(_u1331) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1331), _u1332), _u1333)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1331), _u1333), _u1332)) )).
% 20.29/20.52 cnf(fact_not__less__iff__gr__or__eq-3, axiom, ( ~class_Orderings_Olinorder(_u1331) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1331), _u1332), _u1333)) | ( _u1332 != _u1333) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Int__absorb ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Int__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1334, tc_HOL_Obool)), _u1335), _u1335) = _u1335) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Int__commute ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Int__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1336, tc_HOL_Obool)), _u1337), _u1338) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1336, tc_HOL_Obool)), _u1338), _u1337)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_linorder__less__linear ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_linorder__less__linear-1, axiom, ( ~class_Orderings_Olinorder(_u1339) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1339), _u1340), _u1341)) | ( _u1340 = _u1341) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1339), _u1341), _u1340)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Int__left__absorb ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Int__left__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1342, tc_HOL_Obool)), _u1343), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1342, tc_HOL_Obool)), _u1343), _u1344)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1342, tc_HOL_Obool)), _u1343), _u1344)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Int__left__commute ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Int__left__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1345, tc_HOL_Obool)), _u1346), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1345, tc_HOL_Obool)), _u1347), _u1348)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1345, tc_HOL_Obool)), _u1347), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1345, tc_HOL_Obool)), _u1346), _u1348))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Int__assoc ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Int__assoc-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1349, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1349, tc_HOL_Obool)), _u1350), _u1351)), _u1352) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1349, tc_HOL_Obool)), _u1350), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1349, tc_HOL_Obool)), _u1351), _u1352))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_linorder__antisym__conv3 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_linorder__antisym__conv3-1, axiom, ( ~class_Orderings_Olinorder(_u1353) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1353), _u1354), _u1355)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1353), _u1355), _u1354)) | ( _u1355 = _u1354) )).
% 20.29/20.52 cnf(fact_linorder__antisym__conv3-2, axiom, ( ~class_Orderings_Olinorder(_u1353) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1353), _u1354), _u1355)) | ( _u1355 != _u1354) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1353), _u1355), _u1354)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_linorder__neqE ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_linorder__neqE-1, axiom, ( ~class_Orderings_Olinorder(_u1356) | ( _u1357 = _u1358) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1356), _u1357), _u1358)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1356), _u1358), _u1357)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_less__imp__neq ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_less__imp__neq-1, axiom, ( ~class_Orderings_Oorder(_u1359) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1359), _u1360), _u1361)) | ( _u1360 != _u1361) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_order__less__not__sym ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_order__less__not__sym-1, axiom, ( ~class_Orderings_Opreorder(_u1362) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1362), _u1363), _u1364)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1362), _u1364), _u1363)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_order__less__imp__not__less ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_order__less__imp__not__less-1, axiom, ( ~class_Orderings_Opreorder(_u1365) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1365), _u1366), _u1367)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1365), _u1367), _u1366)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_order__less__imp__not__eq ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_order__less__imp__not__eq-1, axiom, ( ~class_Orderings_Oorder(_u1368) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1368), _u1369), _u1370)) | ( _u1369 != _u1370) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_order__less__imp__not__eq2 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_order__less__imp__not__eq2-1, axiom, ( ~class_Orderings_Oorder(_u1371) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1371), _u1372), _u1373)) | ( _u1373 != _u1372) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_order__less__asym_H ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_order__less__asym_H-1, axiom, ( ~class_Orderings_Opreorder(_u1374) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1374), _u1375), _u1376)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1374), _u1376), _u1375)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_xt1_I9_J ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_xt1_I9_J-1, axiom, ( ~class_Orderings_Oorder(_u1377) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1377), _u1378), _u1379)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1377), _u1379), _u1378)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_ord__eq__less__trans ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_ord__eq__less__trans-1, axiom, ( ~class_Orderings_Oord(_u1380) | ( _u1381 != _u1382) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1380), _u1382), _u1383)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1380), _u1381), _u1383)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_xt1_I1_J ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_xt1_I1_J-1, axiom, ( ~class_Orderings_Oorder(_u1384) | ( _u1385 != _u1386) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1384), _u1387), _u1386)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1384), _u1387), _u1385)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_psubset__trans ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_psubset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1388, tc_HOL_Obool)), _u1389), _u1390)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1388, tc_HOL_Obool)), _u1390), _u1391)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1388, tc_HOL_Obool)), _u1389), _u1391)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_ord__less__eq__trans ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_ord__less__eq__trans-1, axiom, ( ~class_Orderings_Oord(_u1392) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1392), _u1393), _u1394)) | ( _u1394 != _u1395) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1392), _u1393), _u1395)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_xt1_I2_J ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_xt1_I2_J-1, axiom, ( ~class_Orderings_Oorder(_u1396) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1396), _u1397), _u1398)) | ( _u1397 != _u1399) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1396), _u1399), _u1398)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_order__less__trans ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_order__less__trans-1, axiom, ( ~class_Orderings_Opreorder(_u1400) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1400), _u1401), _u1402)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1400), _u1402), _u1403)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1400), _u1401), _u1403)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_xt1_I10_J ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_xt1_I10_J-1, axiom, ( ~class_Orderings_Oorder(_u1404) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1404), _u1405), _u1406)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1404), _u1407), _u1405)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1404), _u1407), _u1406)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_order__less__asym ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_order__less__asym-1, axiom, ( ~class_Orderings_Opreorder(_u1408) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1408), _u1409), _u1410)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1408), _u1410), _u1409)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_linorder__cases ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_linorder__cases-1, axiom, ( ~class_Orderings_Olinorder(_u1411) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1411), _u1412), _u1413)) | ( _u1412 = _u1413) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1411), _u1413), _u1412)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Inf__fin_Oidem ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Inf__fin_Oidem-1, axiom, ( ~class_Lattices_Olattice(_u1414) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1414), _u1415), _u1415) = _u1415) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_folding__image__simple__idem_Oidem ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_folding__image__simple__idem_Oidem-1, axiom, ( ( hAPP(hAPP(_u1418, _u1422), _u1422) = _u1422) | ~c_Finite__Set_Ofolding__image__simple__idem(_u1416, _u1417, _u1418, _u1419, _u1420, _u1421) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_le__infE ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_le__infE-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1423) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1423), _u1424), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1423), _u1425), _u1426))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1423), _u1424), _u1425)) )).
% 20.29/20.52 cnf(fact_le__infE-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u1423) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1423), _u1424), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1423), _u1425), _u1426))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1423), _u1424), _u1426)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_inf__mono ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_inf__mono-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1427) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1427), _u1428), _u1429)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1427), _u1430), _u1431)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1427), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1427), _u1428), _u1430)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1427), _u1429), _u1431))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_inf__greatest ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_inf__greatest-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1432) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1432), _u1433), _u1434)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1432), _u1433), _u1435)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1432), _u1433), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1432), _u1434), _u1435))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_le__infI ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_le__infI-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1436) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1436), _u1437), _u1438)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1436), _u1437), _u1439)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1436), _u1437), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1436), _u1438), _u1439))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_inf__absorb2 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_inf__absorb2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1440) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1440), _u1441), _u1442)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1440), _u1442), _u1441) = _u1441) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_inf__absorb1 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_inf__absorb1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1443) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1443), _u1444), _u1445)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1443), _u1444), _u1445) = _u1444) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_le__infI2 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_le__infI2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1446) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1446), _u1447), _u1448)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1446), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1446), _u1449), _u1447)), _u1448)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_le__infI1 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_le__infI1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1450) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1450), _u1451), _u1452)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1450), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1450), _u1451), _u1453)), _u1452)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_le__inf__iff ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_le__inf__iff-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1454) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1454), _u1455), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1454), _u1456), _u1457))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1454), _u1455), _u1456)) )).
% 20.29/20.52 cnf(fact_le__inf__iff-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u1454) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1454), _u1455), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1454), _u1456), _u1457))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1454), _u1455), _u1457)) )).
% 20.29/20.52 cnf(fact_le__inf__iff-3, axiom, ( ~class_Lattices_Osemilattice__inf(_u1454) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1454), _u1455), _u1456)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1454), _u1455), _u1457)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1454), _u1455), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1454), _u1456), _u1457))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_le__iff__inf ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_le__iff__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1458) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1458), _u1459), _u1460)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1458), _u1459), _u1460) = _u1459) )).
% 20.29/20.52 cnf(fact_le__iff__inf-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u1458) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1458), _u1459), _u1460) != _u1459) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1458), _u1459), _u1460)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_inf__le2 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_inf__le2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1461) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1461), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1461), _u1462), _u1463)), _u1463)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_inf__sup__ord_I2_J ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_inf__sup__ord_I2_J-1, axiom, ( ~class_Lattices_Olattice(_u1464) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1464), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1464), _u1465), _u1466)), _u1466)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_inf__le1 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_inf__le1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1467) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1467), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1467), _u1468), _u1469)), _u1468)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_inf__sup__ord_I1_J ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_inf__sup__ord_I1_J-1, axiom, ( ~class_Lattices_Olattice(_u1470) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1470), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1470), _u1471), _u1472)), _u1471)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_inf__bot__left ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_inf__bot__left-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u1473) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1473), c_Orderings_Obot__class_Obot(_u1473)), _u1474) = c_Orderings_Obot__class_Obot(_u1473)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_inf__bot__right ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_inf__bot__right-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u1475) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1475), _u1476), c_Orderings_Obot__class_Obot(_u1475)) = c_Orderings_Obot__class_Obot(_u1475)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_sup__inf__distrib2 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_sup__inf__distrib2-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u1477) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1477), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1477), _u1478), _u1479)), _u1480) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1477), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1477), _u1478), _u1480)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1477), _u1479), _u1480))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_inf__sup__distrib2 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_inf__sup__distrib2-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u1481) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1481), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1481), _u1482), _u1483)), _u1484) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1481), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1481), _u1482), _u1484)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1481), _u1483), _u1484))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_sup__inf__distrib1 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_sup__inf__distrib1-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u1485) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1485), _u1486), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1485), _u1487), _u1488)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1485), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1485), _u1486), _u1487)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1485), _u1486), _u1488))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_inf__sup__distrib1 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_inf__sup__distrib1-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u1489) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1489), _u1490), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1489), _u1491), _u1492)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1489), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1489), _u1490), _u1491)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1489), _u1490), _u1492))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_sup__inf__absorb ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_sup__inf__absorb-1, axiom, ( ~class_Lattices_Olattice(_u1493) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1493), _u1494), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1493), _u1494), _u1495)) = _u1494) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_inf__sup__absorb ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_inf__sup__absorb-1, axiom, ( ~class_Lattices_Olattice(_u1496) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1496), _u1497), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1496), _u1497), _u1498)) = _u1497) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Int__iff ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Int__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1503), _u1505), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1503, tc_HOL_Obool)), _u1507), _u1509))) | hBOOL(hAPP(hAPP(c_member(_u1503), _u1505), _u1507)) )).
% 20.29/20.52 cnf(fact_Int__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1503), _u1505), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1503, tc_HOL_Obool)), _u1507), _u1509))) | hBOOL(hAPP(hAPP(c_member(_u1503), _u1505), _u1509)) )).
% 20.29/20.52 cnf(fact_Int__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1504), _u1506), _u1508)) | ~hBOOL(hAPP(hAPP(c_member(_u1504), _u1506), _u1510)) | hBOOL(hAPP(hAPP(c_member(_u1504), _u1506), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1504, tc_HOL_Obool)), _u1508), _u1510))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_IntD1 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_IntD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1511), _u1512), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1511, tc_HOL_Obool)), _u1513), _u1514))) | hBOOL(hAPP(hAPP(c_member(_u1511), _u1512), _u1513)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_IntD2 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_IntD2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1515), _u1516), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1515, tc_HOL_Obool)), _u1517), _u1518))) | hBOOL(hAPP(hAPP(c_member(_u1515), _u1516), _u1518)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_less__fun__def ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_less__fun__def-1, axiom, ( ~class_Orderings_Oord(_u1519) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1520, _u1519)), _u1521), _u1522)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1520, _u1519)), _u1521), _u1522)) )).
% 20.29/20.52 cnf(fact_less__fun__def-2, axiom, ( ~class_Orderings_Oord(_u1519) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1520, _u1519)), _u1521), _u1522)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1520, _u1519)), _u1522), _u1521)) )).
% 20.29/20.52 cnf(fact_less__fun__def-3, axiom, ( ~class_Orderings_Oord(_u1519) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1520, _u1519)), _u1521), _u1522)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1520, _u1519)), _u1522), _u1521)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1520, _u1519)), _u1521), _u1522)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_linorder__not__less ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_linorder__not__less-1, axiom, ( ~class_Orderings_Olinorder(_u1523) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1523), _u1524), _u1525)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1523), _u1525), _u1524)) )).
% 20.29/20.52 cnf(fact_linorder__not__less-2, axiom, ( ~class_Orderings_Olinorder(_u1523) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1523), _u1525), _u1524)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1523), _u1524), _u1525)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_linorder__not__le ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_linorder__not__le-1, axiom, ( ~class_Orderings_Olinorder(_u1526) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1526), _u1527), _u1528)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1526), _u1528), _u1527)) )).
% 20.29/20.52 cnf(fact_linorder__not__le-2, axiom, ( ~class_Orderings_Olinorder(_u1526) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1526), _u1528), _u1527)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1526), _u1527), _u1528)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_linorder__le__less__linear ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_linorder__le__less__linear-1, axiom, ( ~class_Orderings_Olinorder(_u1529) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1529), _u1530), _u1531)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1529), _u1531), _u1530)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_order__less__le ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_order__less__le-1, axiom, ( ~class_Orderings_Oorder(_u1532) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1532), _u1533), _u1534)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1532), _u1533), _u1534)) )).
% 20.29/20.52 cnf(fact_order__less__le-2, axiom, ( ~class_Orderings_Oorder(_u1532) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1532), _u1533), _u1534)) | ( _u1533 != _u1534) )).
% 20.29/20.52 cnf(fact_order__less__le-3, axiom, ( ~class_Orderings_Oorder(_u1532) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1532), _u1533), _u1534)) | ( _u1533 = _u1534) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1532), _u1533), _u1534)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_less__le__not__le ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_less__le__not__le-1, axiom, ( ~class_Orderings_Opreorder(_u1535) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1535), _u1536), _u1537)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1535), _u1536), _u1537)) )).
% 20.29/20.52 cnf(fact_less__le__not__le-2, axiom, ( ~class_Orderings_Opreorder(_u1535) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1535), _u1536), _u1537)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1535), _u1537), _u1536)) )).
% 20.29/20.52 cnf(fact_less__le__not__le-3, axiom, ( ~class_Orderings_Opreorder(_u1535) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1535), _u1536), _u1537)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1535), _u1537), _u1536)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1535), _u1536), _u1537)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_order__le__less ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_order__le__less-1, axiom, ( ~class_Orderings_Oorder(_u1538) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1538), _u1539), _u1540)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1538), _u1539), _u1540)) | ( _u1539 = _u1540) )).
% 20.29/20.52 cnf(fact_order__le__less-2, axiom, ( ~class_Orderings_Oorder(_u1538) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1538), _u1539), _u1540)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1538), _u1539), _u1540)) )).
% 20.29/20.52 cnf(fact_order__le__less-3, axiom, ( ~class_Orderings_Oorder(_u1538) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1538), _u1539), _u1540)) | ( _u1539 != _u1540) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_leI ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_leI-1, axiom, ( ~class_Orderings_Olinorder(_u1541) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1541), _u1542), _u1543)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1541), _u1543), _u1542)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_not__leE ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_not__leE-1, axiom, ( ~class_Orderings_Olinorder(_u1544) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1544), _u1545), _u1546)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1544), _u1546), _u1545)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_linorder__antisym__conv1 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_linorder__antisym__conv1-1, axiom, ( ~class_Orderings_Olinorder(_u1547) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1547), _u1548), _u1549)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1547), _u1548), _u1549)) | ( _u1548 = _u1549) )).
% 20.29/20.52 cnf(fact_linorder__antisym__conv1-2, axiom, ( ~class_Orderings_Olinorder(_u1547) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1547), _u1548), _u1549)) | ( _u1548 != _u1549) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1547), _u1548), _u1549)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_order__neq__le__trans ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_order__neq__le__trans-1, axiom, ( ~class_Orderings_Oorder(_u1550) | ( _u1551 = _u1552) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1550), _u1551), _u1552)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1550), _u1551), _u1552)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_xt1_I12_J ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_xt1_I12_J-1, axiom, ( ~class_Orderings_Oorder(_u1553) | ( _u1554 = _u1555) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1553), _u1555), _u1554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1553), _u1555), _u1554)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_leD ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_leD-1, axiom, ( ~class_Orderings_Olinorder(_u1556) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1556), _u1557), _u1558)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1556), _u1558), _u1557)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_order__less__imp__le ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_order__less__imp__le-1, axiom, ( ~class_Orderings_Opreorder(_u1559) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1559), _u1560), _u1561)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1559), _u1560), _u1561)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_linorder__antisym__conv2 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_linorder__antisym__conv2-1, axiom, ( ~class_Orderings_Olinorder(_u1562) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1562), _u1563), _u1564)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1562), _u1563), _u1564)) | ( _u1563 = _u1564) )).
% 20.29/20.52 cnf(fact_linorder__antisym__conv2-2, axiom, ( ~class_Orderings_Olinorder(_u1562) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1562), _u1563), _u1564)) | ( _u1563 != _u1564) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1562), _u1563), _u1564)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_order__le__imp__less__or__eq ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_order__le__imp__less__or__eq-1, axiom, ( ~class_Orderings_Oorder(_u1565) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1565), _u1566), _u1567)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1565), _u1566), _u1567)) | ( _u1566 = _u1567) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_order__le__neq__trans ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_order__le__neq__trans-1, axiom, ( ~class_Orderings_Oorder(_u1568) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1568), _u1569), _u1570)) | ( _u1569 = _u1570) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1568), _u1569), _u1570)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_xt1_I11_J ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_xt1_I11_J-1, axiom, ( ~class_Orderings_Oorder(_u1571) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1571), _u1572), _u1573)) | ( _u1573 = _u1572) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1571), _u1572), _u1573)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_order__less__le__trans ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_order__less__le__trans-1, axiom, ( ~class_Orderings_Opreorder(_u1574) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1574), _u1575), _u1576)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1574), _u1576), _u1577)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1574), _u1575), _u1577)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_xt1_I7_J ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_xt1_I7_J-1, axiom, ( ~class_Orderings_Oorder(_u1578) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1578), _u1579), _u1580)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1578), _u1581), _u1579)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1578), _u1581), _u1580)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_order__le__less__trans ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_order__le__less__trans-1, axiom, ( ~class_Orderings_Opreorder(_u1582) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1582), _u1583), _u1584)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1582), _u1584), _u1585)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1582), _u1583), _u1585)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_xt1_I8_J ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_xt1_I8_J-1, axiom, ( ~class_Orderings_Oorder(_u1586) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1586), _u1587), _u1588)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1586), _u1589), _u1587)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1586), _u1589), _u1588)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_psubsetD ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_psubsetD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1590, tc_HOL_Obool)), _u1591), _u1592)) | ~hBOOL(hAPP(hAPP(c_member(_u1590), _u1593), _u1591)) | hBOOL(hAPP(hAPP(c_member(_u1590), _u1593), _u1592)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Int__empty__left ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Int__empty__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1594, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u1594, tc_HOL_Obool))), _u1595) = c_Orderings_Obot__class_Obot(tc_fun(_u1594, tc_HOL_Obool))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Int__empty__right ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Int__empty__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1596, tc_HOL_Obool)), _u1597), c_Orderings_Obot__class_Obot(tc_fun(_u1596, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u1596, tc_HOL_Obool))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_disjoint__iff__not__equal ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_disjoint__iff__not__equal-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1605, tc_HOL_Obool)), _u1607), _u1609) != c_Orderings_Obot__class_Obot(tc_fun(_u1605, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u1605), _u1599), _u1607)) | ~hBOOL(hAPP(hAPP(c_member(_u1605), _u1598), _u1609)) | ( _u1599 != _u1598) )).
% 20.29/20.52 cnf(fact_disjoint__iff__not__equal-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1606, tc_HOL_Obool)), _u1608), _u1610) = c_Orderings_Obot__class_Obot(tc_fun(_u1606, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u1606), skolem33(_u1610, _u1608, _u1606)), _u1608)) )).
% 20.29/20.52 cnf(fact_disjoint__iff__not__equal-3, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1606, tc_HOL_Obool)), _u1608), _u1610) = c_Orderings_Obot__class_Obot(tc_fun(_u1606, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u1606), skolem34(_u1610, _u1608, _u1606)), _u1610)) )).
% 20.29/20.52 cnf(fact_disjoint__iff__not__equal-4, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1606, tc_HOL_Obool)), _u1608), _u1610) = c_Orderings_Obot__class_Obot(tc_fun(_u1606, tc_HOL_Obool))) | ( skolem33(_u1610, _u1608, _u1606) = skolem34(_u1610, _u1608, _u1606)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_insert__inter__insert ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_insert__inter__insert-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1611, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1611), _u1612), _u1613)), hAPP(hAPP(c_Set_Oinsert(_u1611), _u1612), _u1614)) = hAPP(hAPP(c_Set_Oinsert(_u1611), _u1612), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1611, tc_HOL_Obool)), _u1613), _u1614))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_not__psubset__empty ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_not__psubset__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1615, tc_HOL_Obool)), _u1616), c_Orderings_Obot__class_Obot(tc_fun(_u1615, tc_HOL_Obool)))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Int__lower1 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Int__lower1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1617, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1617, tc_HOL_Obool)), _u1618), _u1619)), _u1618)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Int__lower2 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Int__lower2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1620, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1620, tc_HOL_Obool)), _u1621), _u1622)), _u1622)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Int__absorb2 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Int__absorb2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1623, tc_HOL_Obool)), _u1624), _u1625)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1623, tc_HOL_Obool)), _u1624), _u1625) = _u1624) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Int__absorb1 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Int__absorb1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1626, tc_HOL_Obool)), _u1627), _u1628)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1626, tc_HOL_Obool)), _u1628), _u1627) = _u1627) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Int__greatest ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Int__greatest-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1629, tc_HOL_Obool)), _u1630), _u1631)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1629, tc_HOL_Obool)), _u1630), _u1632)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1629, tc_HOL_Obool)), _u1630), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1629, tc_HOL_Obool)), _u1631), _u1632))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Int__mono ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Int__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1633, tc_HOL_Obool)), _u1634), _u1635)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1633, tc_HOL_Obool)), _u1636), _u1637)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1633, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1633, tc_HOL_Obool)), _u1634), _u1636)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1633, tc_HOL_Obool)), _u1635), _u1637))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_diff__eq__diff__less ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_diff__eq__diff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1638) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1638), _u1639), _u1640) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1638), _u1641), _u1642)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1638), _u1639), _u1640)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1638), _u1641), _u1642)) )).
% 20.29/20.52 cnf(fact_diff__eq__diff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1638) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1638), _u1639), _u1640) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1638), _u1641), _u1642)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1638), _u1641), _u1642)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1638), _u1639), _u1640)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Int__Un__distrib ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Int__Un__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1643, tc_HOL_Obool)), _u1644), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1643, tc_HOL_Obool)), _u1645), _u1646)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1643, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1643, tc_HOL_Obool)), _u1644), _u1645)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1643, tc_HOL_Obool)), _u1644), _u1646))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Un__Int__distrib ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Un__Int__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1647, tc_HOL_Obool)), _u1648), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1647, tc_HOL_Obool)), _u1649), _u1650)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1647, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1647, tc_HOL_Obool)), _u1648), _u1649)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1647, tc_HOL_Obool)), _u1648), _u1650))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Int__Un__distrib2 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Int__Un__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1651, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1651, tc_HOL_Obool)), _u1652), _u1653)), _u1654) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1651, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1651, tc_HOL_Obool)), _u1652), _u1654)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1651, tc_HOL_Obool)), _u1653), _u1654))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Un__Int__distrib2 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Un__Int__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1655, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1655, tc_HOL_Obool)), _u1656), _u1657)), _u1658) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1655, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1655, tc_HOL_Obool)), _u1656), _u1658)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1655, tc_HOL_Obool)), _u1657), _u1658))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Un__Int__crazy ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Un__Int__crazy-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1659, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1659, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1659, tc_HOL_Obool)), _u1660), _u1661)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1659, tc_HOL_Obool)), _u1661), _u1662))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1659, tc_HOL_Obool)), _u1662), _u1660)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1659, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1659, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1659, tc_HOL_Obool)), _u1660), _u1661)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1659, tc_HOL_Obool)), _u1661), _u1662))), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1659, tc_HOL_Obool)), _u1662), _u1660))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_less__supI2 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_less__supI2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1663) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1663), _u1664), _u1665)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1663), _u1664), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1663), _u1666), _u1665))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_less__supI1 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_less__supI1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1667) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1667), _u1668), _u1669)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1667), _u1668), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1667), _u1669), _u1670))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_psubset__eq ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_psubset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1674, tc_HOL_Obool)), _u1676), _u1678)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1674, tc_HOL_Obool)), _u1676), _u1678)) )).
% 20.29/20.52 cnf(fact_psubset__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1674, tc_HOL_Obool)), _u1676), _u1678)) | ( _u1676 != _u1678) )).
% 20.29/20.52 cnf(fact_psubset__eq-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1675, tc_HOL_Obool)), _u1677), _u1679)) | ( _u1677 = _u1679) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1675, tc_HOL_Obool)), _u1677), _u1679)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_subset__iff__psubset__eq ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_subset__iff__psubset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1683, tc_HOL_Obool)), _u1685), _u1687)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1683, tc_HOL_Obool)), _u1685), _u1687)) | ( _u1685 = _u1687) )).
% 20.29/20.52 cnf(fact_subset__iff__psubset__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1684, tc_HOL_Obool)), _u1686), _u1688)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1684, tc_HOL_Obool)), _u1686), _u1688)) )).
% 20.29/20.52 cnf(fact_subset__iff__psubset__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1684, tc_HOL_Obool)), _u1686), _u1688)) | ( _u1686 != _u1688) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_psubset__imp__subset ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_psubset__imp__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1689, tc_HOL_Obool)), _u1690), _u1691)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1689, tc_HOL_Obool)), _u1690), _u1691)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_psubset__subset__trans ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_psubset__subset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1692, tc_HOL_Obool)), _u1693), _u1694)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1692, tc_HOL_Obool)), _u1694), _u1695)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1692, tc_HOL_Obool)), _u1693), _u1695)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_subset__psubset__trans ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_subset__psubset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1696, tc_HOL_Obool)), _u1697), _u1698)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1696, tc_HOL_Obool)), _u1698), _u1699)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1696, tc_HOL_Obool)), _u1697), _u1699)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Diff__Int__distrib ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Diff__Int__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1700, tc_HOL_Obool)), _u1701), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1700, tc_HOL_Obool)), _u1702), _u1703)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1700, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1700, tc_HOL_Obool)), _u1701), _u1702)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1700, tc_HOL_Obool)), _u1701), _u1703))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Int__Diff ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Int__Diff-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1704, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1704, tc_HOL_Obool)), _u1705), _u1706)), _u1707) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1704, tc_HOL_Obool)), _u1705), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1704, tc_HOL_Obool)), _u1706), _u1707))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Diff__Int__distrib2 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Diff__Int__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1708, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1708, tc_HOL_Obool)), _u1709), _u1710)), _u1711) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1708, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1708, tc_HOL_Obool)), _u1709), _u1711)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1708, tc_HOL_Obool)), _u1710), _u1711))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Diff__Int2 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Diff__Int2-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1712, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1712, tc_HOL_Obool)), _u1713), _u1714)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1712, tc_HOL_Obool)), _u1715), _u1714)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1712, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1712, tc_HOL_Obool)), _u1713), _u1714)), _u1715)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_vimage__Int ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_vimage__Int-1, axiom, ( ( hAPP(c_Set_Ovimage(_u1716, _u1717, _u1718), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1717, tc_HOL_Obool)), _u1719), _u1720)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1716, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u1716, _u1717, _u1718), _u1719)), hAPP(c_Set_Ovimage(_u1716, _u1717, _u1718), _u1720))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_distrib__inf__le ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_distrib__inf__le-1, axiom, ( ~class_Lattices_Olattice(_u1721) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1721), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1721), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1721), _u1722), _u1723)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1721), _u1722), _u1724))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1721), _u1722), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1721), _u1723), _u1724)))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_distrib__sup__le ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_distrib__sup__le-1, axiom, ( ~class_Lattices_Olattice(_u1725) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1725), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1725), _u1726), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1725), _u1727), _u1728))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1725), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1725), _u1726), _u1727)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1725), _u1726), _u1728)))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Int__insert__left__if1 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Int__insert__left__if1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1729), _u1730), _u1731)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1729, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1729), _u1730), _u1732)), _u1731) = hAPP(hAPP(c_Set_Oinsert(_u1729), _u1730), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1729, tc_HOL_Obool)), _u1732), _u1731))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Int__insert__right__if1 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Int__insert__right__if1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1733), _u1734), _u1735)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1733, tc_HOL_Obool)), _u1735), hAPP(hAPP(c_Set_Oinsert(_u1733), _u1734), _u1736)) = hAPP(hAPP(c_Set_Oinsert(_u1733), _u1734), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1733, tc_HOL_Obool)), _u1735), _u1736))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Int__insert__left__if0 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Int__insert__left__if0-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1737), _u1738), _u1739)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1737, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1737), _u1738), _u1740)), _u1739) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1737, tc_HOL_Obool)), _u1740), _u1739)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Int__insert__right__if0 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Int__insert__right__if0-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1741), _u1742), _u1743)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1741, tc_HOL_Obool)), _u1743), hAPP(hAPP(c_Set_Oinsert(_u1741), _u1742), _u1744)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1741, tc_HOL_Obool)), _u1743), _u1744)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Int__insert__left ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Int__insert__left-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1749), _u1751), _u1753)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1749, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1749), _u1751), _u1755)), _u1753) = hAPP(hAPP(c_Set_Oinsert(_u1749), _u1751), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1749, tc_HOL_Obool)), _u1755), _u1753))) )).
% 20.29/20.52 cnf(fact_Int__insert__left-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1750), _u1752), _u1754)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1750, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1750), _u1752), _u1756)), _u1754) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1750, tc_HOL_Obool)), _u1756), _u1754)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Int__insert__right ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Int__insert__right-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1761), _u1763), _u1765)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1761, tc_HOL_Obool)), _u1765), hAPP(hAPP(c_Set_Oinsert(_u1761), _u1763), _u1767)) = hAPP(hAPP(c_Set_Oinsert(_u1761), _u1763), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1761, tc_HOL_Obool)), _u1765), _u1767))) )).
% 20.29/20.52 cnf(fact_Int__insert__right-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1762), _u1764), _u1766)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1762, tc_HOL_Obool)), _u1766), hAPP(hAPP(c_Set_Oinsert(_u1762), _u1764), _u1768)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1762, tc_HOL_Obool)), _u1766), _u1768)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Diff__triv ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Diff__triv-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1769, tc_HOL_Obool)), _u1770), _u1771) != c_Orderings_Obot__class_Obot(tc_fun(_u1769, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1769, tc_HOL_Obool)), _u1770), _u1771) = _u1770) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Diff__disjoint ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Diff__disjoint-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1772, tc_HOL_Obool)), _u1773), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1772, tc_HOL_Obool)), _u1774), _u1773)) = c_Orderings_Obot__class_Obot(tc_fun(_u1772, tc_HOL_Obool))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Un__Int__assoc__eq ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Un__Int__assoc__eq-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1779, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1779, tc_HOL_Obool)), _u1781), _u1783)), _u1785) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1779, tc_HOL_Obool)), _u1781), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1779, tc_HOL_Obool)), _u1783), _u1785))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1779, tc_HOL_Obool)), _u1785), _u1781)) )).
% 20.29/20.52 cnf(fact_Un__Int__assoc__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1780, tc_HOL_Obool)), _u1786), _u1782)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1780, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1780, tc_HOL_Obool)), _u1782), _u1784)), _u1786) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1780, tc_HOL_Obool)), _u1782), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1780, tc_HOL_Obool)), _u1784), _u1786))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Diff__Int ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Diff__Int-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1787, tc_HOL_Obool)), _u1788), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1787, tc_HOL_Obool)), _u1789), _u1790)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1787, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1787, tc_HOL_Obool)), _u1788), _u1789)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1787, tc_HOL_Obool)), _u1788), _u1790))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Diff__Un ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Diff__Un-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1791, tc_HOL_Obool)), _u1792), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1791, tc_HOL_Obool)), _u1793), _u1794)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1791, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1791, tc_HOL_Obool)), _u1792), _u1793)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1791, tc_HOL_Obool)), _u1792), _u1794))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Un__Diff__Int ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Un__Diff__Int-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1795, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1795, tc_HOL_Obool)), _u1796), _u1797)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1795, tc_HOL_Obool)), _u1796), _u1797)) = _u1796) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_setsum__diff__nat ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_setsum__diff__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1798), _u1799)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1798, tc_HOL_Obool)), _u1799), _u1800)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1798, tc_Nat_Onat), _u1801), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1798, tc_HOL_Obool)), _u1800), _u1799)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1798, tc_Nat_Onat), _u1801), _u1800)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1798, tc_Nat_Onat), _u1801), _u1799))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_inf__Sup__absorb ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_inf__Sup__absorb-1, axiom, ( ~class_Lattices_Olattice(_u1802) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1802), _u1803)) | ~hBOOL(hAPP(hAPP(c_member(_u1802), _u1804), _u1803)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1802), _u1804), c_Big__Operators_Olattice__class_OSup__fin(_u1802, _u1803)) = _u1804) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_fold__graph__insert__swap ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_fold__graph__insert__swap-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u1805) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1805, _u1805, c_Groups_Otimes__class_Otimes(_u1805), _u1806, _u1807), _u1808)) | hBOOL(hAPP(hAPP(c_member(_u1805), _u1806), _u1807)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1805, _u1805, c_Groups_Otimes__class_Otimes(_u1805), _u1809, hAPP(hAPP(c_Set_Oinsert(_u1805), _u1806), _u1807)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1805), _u1809), _u1808))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_folding__image__simple_Ounion__inter ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_folding__image__simple_Ounion__inter-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1811), _u1816)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1811), _u1817)) | ( hAPP(hAPP(_u1812, hAPP(_u1815, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1811, tc_HOL_Obool)), _u1816), _u1817))), hAPP(_u1815, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1811, tc_HOL_Obool)), _u1816), _u1817))) = hAPP(hAPP(_u1812, hAPP(_u1815, _u1816)), hAPP(_u1815, _u1817))) | ~c_Finite__Set_Ofolding__image__simple(_u1810, _u1811, _u1812, _u1813, _u1814, _u1815) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_setsum__diff1__nat ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_setsum__diff1__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1822), _u1824), _u1826)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1822, tc_Nat_Onat), _u1828), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1822, tc_HOL_Obool)), _u1826), hAPP(hAPP(c_Set_Oinsert(_u1822), _u1824), c_Orderings_Obot__class_Obot(tc_fun(_u1822, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1822, tc_Nat_Onat), _u1828), _u1826)), hAPP(_u1828, _u1824))) )).
% 20.29/20.52 cnf(fact_setsum__diff1__nat-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1823), _u1825), _u1827)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1823, tc_Nat_Onat), _u1829), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1823, tc_HOL_Obool)), _u1827), hAPP(hAPP(c_Set_Oinsert(_u1823), _u1825), c_Orderings_Obot__class_Obot(tc_fun(_u1823, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1823, tc_Nat_Onat), _u1829), _u1827)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_setsum__diff ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_setsum__diff-1, axiom, ( ~class_Groups_Oab__group__add(_u1830) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1831), _u1832)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1831, tc_HOL_Obool)), _u1833), _u1832)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1831, _u1830), _u1834), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1831, tc_HOL_Obool)), _u1832), _u1833)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1830), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1831, _u1830), _u1834), _u1832)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1831, _u1830), _u1834), _u1833))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_folding__one_Ounion__inter ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_folding__one_Ounion__inter-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u1835, _u1836, _u1837) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1835), _u1838)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1835), _u1839)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1835, tc_HOL_Obool)), _u1838), _u1839) = c_Orderings_Obot__class_Obot(tc_fun(_u1835, tc_HOL_Obool))) | ( hAPP(hAPP(_u1836, hAPP(_u1837, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1835, tc_HOL_Obool)), _u1838), _u1839))), hAPP(_u1837, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1835, tc_HOL_Obool)), _u1838), _u1839))) = hAPP(hAPP(_u1836, hAPP(_u1837, _u1838)), hAPP(_u1837, _u1839))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_folding__one_Ounion__disjoint ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_folding__one_Ounion__disjoint-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u1840, _u1841, _u1842) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1840), _u1843)) | ( _u1843 = c_Orderings_Obot__class_Obot(tc_fun(_u1840, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1840), _u1844)) | ( _u1844 = c_Orderings_Obot__class_Obot(tc_fun(_u1840, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1840, tc_HOL_Obool)), _u1843), _u1844) != c_Orderings_Obot__class_Obot(tc_fun(_u1840, tc_HOL_Obool))) | ( hAPP(_u1842, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1840, tc_HOL_Obool)), _u1843), _u1844)) = hAPP(hAPP(_u1841, hAPP(_u1842, _u1843)), hAPP(_u1842, _u1844))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_folding__image__simple_Ounion__disjoint ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_folding__image__simple_Ounion__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1846), _u1851)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1846), _u1852)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1846, tc_HOL_Obool)), _u1851), _u1852) != c_Orderings_Obot__class_Obot(tc_fun(_u1846, tc_HOL_Obool))) | ( hAPP(_u1850, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1846, tc_HOL_Obool)), _u1851), _u1852)) = hAPP(hAPP(_u1847, hAPP(_u1850, _u1851)), hAPP(_u1850, _u1852))) | ~c_Finite__Set_Ofolding__image__simple(_u1845, _u1846, _u1847, _u1848, _u1849, _u1850) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_folding__image__simple__idem_Oin__idem ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_folding__image__simple__idem_Oin__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1854), _u1859)) | ~hBOOL(hAPP(hAPP(c_member(_u1854), _u1860), _u1859)) | ( hAPP(hAPP(_u1855, hAPP(_u1857, _u1860)), hAPP(_u1858, _u1859)) = hAPP(_u1858, _u1859)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u1853, _u1854, _u1855, _u1856, _u1857, _u1858) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_folding__image__simple__idem_Oinsert__idem ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_folding__image__simple__idem_Oinsert__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1862), _u1867)) | ( hAPP(_u1866, hAPP(hAPP(c_Set_Oinsert(_u1862), _u1868), _u1867)) = hAPP(hAPP(_u1863, hAPP(_u1865, _u1868)), hAPP(_u1866, _u1867))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u1861, _u1862, _u1863, _u1864, _u1865, _u1866) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Inf__fin_Oremove ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Inf__fin_Oremove-1, axiom, ( ~class_Lattices_Olattice(_u1869) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1869), _u1870)) | ~hBOOL(hAPP(hAPP(c_member(_u1869), _u1871), _u1870)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1869, tc_HOL_Obool)), _u1870), hAPP(hAPP(c_Set_Oinsert(_u1869), _u1871), c_Orderings_Obot__class_Obot(tc_fun(_u1869, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u1869, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u1869, _u1870) = _u1871) )).
% 20.29/20.52 cnf(fact_Inf__fin_Oremove-2, axiom, ( ~class_Lattices_Olattice(_u1869) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1869), _u1870)) | ~hBOOL(hAPP(hAPP(c_member(_u1869), _u1871), _u1870)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1869, tc_HOL_Obool)), _u1870), hAPP(hAPP(c_Set_Oinsert(_u1869), _u1871), c_Orderings_Obot__class_Obot(tc_fun(_u1869, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u1869, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u1869, _u1870) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1869), _u1871), c_Big__Operators_Olattice__class_OInf__fin(_u1869, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1869, tc_HOL_Obool)), _u1870), hAPP(hAPP(c_Set_Oinsert(_u1869), _u1871), c_Orderings_Obot__class_Obot(tc_fun(_u1869, tc_HOL_Obool))))))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_setsum__strict__mono ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_setsum__strict__mono-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u1873) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1873) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1874), _u1875)) | ( _u1875 = c_Orderings_Obot__class_Obot(tc_fun(_u1874, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1873), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1874, _u1873), _u1876), _u1875)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1874, _u1873), _u1877), _u1875))) | hBOOL(hAPP(hAPP(c_member(_u1874), skolem35(_u1877, _u1876, _u1875, _u1874, _u1873)), _u1875)) )).
% 20.29/20.52 cnf(fact_setsum__strict__mono-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u1873) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1873) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1874), _u1875)) | ( _u1875 = c_Orderings_Obot__class_Obot(tc_fun(_u1874, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1873), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1874, _u1873), _u1876), _u1875)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1874, _u1873), _u1877), _u1875))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1873), hAPP(_u1876, skolem35(_u1877, _u1876, _u1875, _u1874, _u1873))), hAPP(_u1877, skolem35(_u1877, _u1876, _u1875, _u1874, _u1873)))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_setsum__diff1_H ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_setsum__diff1_H-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u1878) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1879), _u1880)) | ~hBOOL(hAPP(hAPP(c_member(_u1879), _u1881), _u1880)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1879, _u1878), _u1882), _u1880) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1878), hAPP(_u1882, _u1881)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1879, _u1878), _u1882), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1879, tc_HOL_Obool)), _u1880), hAPP(hAPP(c_Set_Oinsert(_u1879), _u1881), c_Orderings_Obot__class_Obot(tc_fun(_u1879, tc_HOL_Obool))))))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_setsum_Oremove ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_setsum_Oremove-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u1883) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1884), _u1885)) | ~hBOOL(hAPP(hAPP(c_member(_u1884), _u1886), _u1885)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1884, _u1883), _u1887), _u1885) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1883), hAPP(_u1887, _u1886)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1884, _u1883), _u1887), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1884, tc_HOL_Obool)), _u1885), hAPP(hAPP(c_Set_Oinsert(_u1884), _u1886), c_Orderings_Obot__class_Obot(tc_fun(_u1884, tc_HOL_Obool))))))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Inf__fin_Ounion__inter ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Inf__fin_Ounion__inter-1, axiom, ( ~class_Lattices_Olattice(_u1888) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1888), _u1889)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1888), _u1890)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1888, tc_HOL_Obool)), _u1889), _u1890) = c_Orderings_Obot__class_Obot(tc_fun(_u1888, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1888), c_Big__Operators_Olattice__class_OInf__fin(_u1888, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1888, tc_HOL_Obool)), _u1889), _u1890))), c_Big__Operators_Olattice__class_OInf__fin(_u1888, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1888, tc_HOL_Obool)), _u1889), _u1890))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1888), c_Big__Operators_Olattice__class_OInf__fin(_u1888, _u1889)), c_Big__Operators_Olattice__class_OInf__fin(_u1888, _u1890))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Inf__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Inf__fin_Ounion__disjoint-1, axiom, ( ~class_Lattices_Olattice(_u1891) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1891), _u1892)) | ( _u1892 = c_Orderings_Obot__class_Obot(tc_fun(_u1891, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1891), _u1893)) | ( _u1893 = c_Orderings_Obot__class_Obot(tc_fun(_u1891, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1891, tc_HOL_Obool)), _u1892), _u1893) != c_Orderings_Obot__class_Obot(tc_fun(_u1891, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u1891, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1891, tc_HOL_Obool)), _u1892), _u1893)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1891), c_Big__Operators_Olattice__class_OInf__fin(_u1891, _u1892)), c_Big__Operators_Olattice__class_OInf__fin(_u1891, _u1893))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Inf__fin_Oinsert__remove ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Inf__fin_Oinsert__remove-1, axiom, ( ~class_Lattices_Olattice(_u1894) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1894), _u1895)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1894, tc_HOL_Obool)), _u1895), hAPP(hAPP(c_Set_Oinsert(_u1894), _u1896), c_Orderings_Obot__class_Obot(tc_fun(_u1894, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u1894, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u1894, hAPP(hAPP(c_Set_Oinsert(_u1894), _u1896), _u1895)) = _u1896) )).
% 20.29/20.52 cnf(fact_Inf__fin_Oinsert__remove-2, axiom, ( ~class_Lattices_Olattice(_u1894) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1894), _u1895)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1894, tc_HOL_Obool)), _u1895), hAPP(hAPP(c_Set_Oinsert(_u1894), _u1896), c_Orderings_Obot__class_Obot(tc_fun(_u1894, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u1894, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u1894, hAPP(hAPP(c_Set_Oinsert(_u1894), _u1896), _u1895)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1894), _u1896), c_Big__Operators_Olattice__class_OInf__fin(_u1894, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1894, tc_HOL_Obool)), _u1895), hAPP(hAPP(c_Set_Oinsert(_u1894), _u1896), c_Orderings_Obot__class_Obot(tc_fun(_u1894, tc_HOL_Obool))))))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Inf__fin_Oinsert ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Inf__fin_Oinsert-1, axiom, ( ~class_Lattices_Olattice(_u1897) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1897), _u1898)) | hBOOL(hAPP(hAPP(c_member(_u1897), _u1899), _u1898)) | ( _u1898 = c_Orderings_Obot__class_Obot(tc_fun(_u1897, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u1897, hAPP(hAPP(c_Set_Oinsert(_u1897), _u1899), _u1898)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1897), _u1899), c_Big__Operators_Olattice__class_OInf__fin(_u1897, _u1898))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_fold1__Un ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_fold1__Un-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u1900) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1900), _u1901)) | ( _u1901 = c_Orderings_Obot__class_Obot(tc_fun(_u1900, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1900), _u1902)) | ( _u1902 = c_Orderings_Obot__class_Obot(tc_fun(_u1900, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1900, tc_HOL_Obool)), _u1901), _u1902) != c_Orderings_Obot__class_Obot(tc_fun(_u1900, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u1900, c_Groups_Otimes__class_Otimes(_u1900)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1900, tc_HOL_Obool)), _u1901), _u1902)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1900), hAPP(c_Finite__Set_Ofold1(_u1900, c_Groups_Otimes__class_Otimes(_u1900)), _u1901)), hAPP(c_Finite__Set_Ofold1(_u1900, c_Groups_Otimes__class_Otimes(_u1900)), _u1902))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_folding__image__simple_Ounion__inter__neutral ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_folding__image__simple_Ounion__inter__neutral-1, axiom, ( ~c_Finite__Set_Ofolding__image__simple(_u1904, _u1905, _u1906, _u1907, _u1908, _u1909) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1905), _u1910)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1905), _u1911)) | ( hAPP(_u1909, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1905, tc_HOL_Obool)), _u1910), _u1911)) = hAPP(hAPP(_u1906, hAPP(_u1909, _u1910)), hAPP(_u1909, _u1911))) | hBOOL(hAPP(hAPP(c_member(_u1905), skolem36(_u1911, _u1910, _u1909, _u1908, _u1907, _u1906, _u1905)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1905, tc_HOL_Obool)), _u1910), _u1911))) )).
% 20.29/20.52 cnf(fact_folding__image__simple_Ounion__inter__neutral-2, axiom, ( ~c_Finite__Set_Ofolding__image__simple(_u1904, _u1905, _u1906, _u1907, _u1908, _u1909) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1905), _u1910)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1905), _u1911)) | ( hAPP(_u1909, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1905, tc_HOL_Obool)), _u1910), _u1911)) = hAPP(hAPP(_u1906, hAPP(_u1909, _u1910)), hAPP(_u1909, _u1911))) | ( hAPP(_u1908, skolem36(_u1911, _u1910, _u1909, _u1908, _u1907, _u1906, _u1905)) != _u1907) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_fold1__insert ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_fold1__insert-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u1912) | ( _u1913 = c_Orderings_Obot__class_Obot(tc_fun(_u1912, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1912), _u1913)) | hBOOL(hAPP(hAPP(c_member(_u1912), _u1914), _u1913)) | ( hAPP(c_Finite__Set_Ofold1(_u1912, c_Groups_Otimes__class_Otimes(_u1912)), hAPP(hAPP(c_Set_Oinsert(_u1912), _u1914), _u1913)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1912), _u1914), hAPP(c_Finite__Set_Ofold1(_u1912, c_Groups_Otimes__class_Otimes(_u1912)), _u1913))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_add__right__imp__eq ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_add__right__imp__eq-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u1915) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1915), _u1916), _u1917) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1915), _u1918), _u1917)) | ( _u1916 = _u1918) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_add__imp__eq ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_add__imp__eq-1, axiom, ( ~class_Groups_Ocancel__ab__semigroup__add(_u1919) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1919), _u1920), _u1921) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1919), _u1920), _u1922)) | ( _u1921 = _u1922) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_add__left__imp__eq ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_add__left__imp__eq-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u1923) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1923), _u1924), _u1925) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1923), _u1924), _u1926)) | ( _u1925 = _u1926) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_add__right__cancel ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_add__right__cancel-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u1927) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1927), _u1928), _u1929) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1927), _u1930), _u1929)) | ( _u1928 = _u1930) )).
% 20.29/20.52 cnf(fact_add__right__cancel-2, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u1927) | ( _u1928 != _u1930) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1927), _u1928), _u1929) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1927), _u1930), _u1929)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_add__left__cancel ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_add__left__cancel-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u1931) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1931), _u1932), _u1933) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1931), _u1932), _u1934)) | ( _u1933 = _u1934) )).
% 20.29/20.52 cnf(fact_add__left__cancel-2, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u1931) | ( _u1933 != _u1934) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1931), _u1932), _u1933) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1931), _u1932), _u1934)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_ab__semigroup__add__class_Oadd__ac_I1_J ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_ab__semigroup__add__class_Oadd__ac_I1_J-1, axiom, ( ~class_Groups_Oab__semigroup__add(_u1935) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1935), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1935), _u1936), _u1937)), _u1938) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1935), _u1936), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1935), _u1937), _u1938))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_add__le__cancel__right ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_add__le__cancel__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1939) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1939), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1939), _u1940), _u1941)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1939), _u1942), _u1941))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1939), _u1940), _u1942)) )).
% 20.29/20.52 cnf(fact_add__le__cancel__right-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1939) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1939), _u1940), _u1942)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1939), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1939), _u1940), _u1941)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1939), _u1942), _u1941))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_add__le__cancel__left ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_add__le__cancel__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1943) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1943), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1943), _u1944), _u1945)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1943), _u1944), _u1946))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1943), _u1945), _u1946)) )).
% 20.29/20.52 cnf(fact_add__le__cancel__left-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1943) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1943), _u1945), _u1946)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1943), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1943), _u1944), _u1945)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1943), _u1944), _u1946))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_add__right__mono ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_add__right__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u1947) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1947), _u1948), _u1949)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1947), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1947), _u1948), _u1950)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1947), _u1949), _u1950))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_add__left__mono ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_add__left__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u1951) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1951), _u1952), _u1953)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1951), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1951), _u1954), _u1952)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1951), _u1954), _u1953))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_add__mono ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_add__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u1955) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1955), _u1956), _u1957)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1955), _u1958), _u1959)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1955), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1955), _u1956), _u1958)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1955), _u1957), _u1959))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_add__le__imp__le__right ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_add__le__imp__le__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1960) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1960), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1960), _u1961), _u1962)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1960), _u1963), _u1962))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1960), _u1961), _u1963)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_add__le__imp__le__left ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_add__le__imp__le__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1964) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1964), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1964), _u1965), _u1966)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1964), _u1965), _u1967))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1964), _u1966), _u1967)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_add__less__imp__less__left ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_add__less__imp__less__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1968) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1968), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1968), _u1969), _u1970)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1968), _u1969), _u1971))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1968), _u1970), _u1971)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_add__less__imp__less__right ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_add__less__imp__less__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1972) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1972), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1972), _u1973), _u1974)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1972), _u1975), _u1974))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1972), _u1973), _u1975)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_add__strict__mono ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_add__strict__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1976) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1976), _u1977), _u1978)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1976), _u1979), _u1980)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1976), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1976), _u1977), _u1979)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1976), _u1978), _u1980))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_add__strict__left__mono ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_add__strict__left__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1981) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1981), _u1982), _u1983)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1981), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1981), _u1984), _u1982)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1981), _u1984), _u1983))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_add__strict__right__mono ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_add__strict__right__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1985) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1985), _u1986), _u1987)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1985), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1985), _u1986), _u1988)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1985), _u1987), _u1988))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_add__less__cancel__left ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_add__less__cancel__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1989) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1989), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1989), _u1990), _u1991)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1989), _u1990), _u1992))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1989), _u1991), _u1992)) )).
% 20.29/20.52 cnf(fact_add__less__cancel__left-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1989) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1989), _u1991), _u1992)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1989), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1989), _u1990), _u1991)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1989), _u1990), _u1992))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_add__less__cancel__right ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_add__less__cancel__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1993) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_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(_u1993), _u1994), _u1996)) )).
% 20.29/20.52 cnf(fact_add__less__cancel__right-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1993) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1993), _u1994), _u1996)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1993), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1993), _u1994), _u1995)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1993), _u1996), _u1995))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Inf__fin_OF__eq ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Inf__fin_OF__eq-1, axiom, ( ~class_Lattices_Olattice(_u1997) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1997), _u1998)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u1997, _u1998) = hAPP(c_Finite__Set_Ofold1(_u1997, c_Lattices_Osemilattice__inf__class_Oinf(_u1997)), _u1998)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_diff__add__cancel ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_diff__add__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u1999) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1999), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1999), _u2000), _u2001)), _u2001) = _u2000) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_add__diff__cancel ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_add__diff__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u2002) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2002), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2002), _u2003), _u2004)), _u2004) = _u2003) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_add__le__less__mono ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_add__le__less__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u2005) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2005), _u2006), _u2007)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2005), _u2008), _u2009)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2005), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2005), _u2006), _u2008)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2005), _u2007), _u2009))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_add__less__le__mono ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_add__less__le__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u2010) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2010), _u2011), _u2012)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2010), _u2013), _u2014)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2010), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2010), _u2011), _u2013)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2010), _u2012), _u2014))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_fold1__singleton__def ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_fold1__singleton__def-1, axiom, ( ( _u2015 != c_Finite__Set_Ofold1(_u2016, _u2017)) | ( hAPP(_u2015, hAPP(hAPP(c_Set_Oinsert(_u2016), _u2018), c_Orderings_Obot__class_Obot(tc_fun(_u2016, tc_HOL_Obool)))) = _u2018) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_fold1__singleton ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_fold1__singleton-1, axiom, ( ( hAPP(c_Finite__Set_Ofold1(_u2019, _u2020), hAPP(hAPP(c_Set_Oinsert(_u2019), _u2021), c_Orderings_Obot__class_Obot(tc_fun(_u2019, tc_HOL_Obool)))) = _u2021) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Inf__fin_Osingleton ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Inf__fin_Osingleton-1, axiom, ( ~class_Lattices_Olattice(_u2022) | ( c_Big__Operators_Olattice__class_OInf__fin(_u2022, hAPP(hAPP(c_Set_Oinsert(_u2022), _u2023), c_Orderings_Obot__class_Obot(tc_fun(_u2022, tc_HOL_Obool)))) = _u2023) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_folding__one_Oeq__fold ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_folding__one_Oeq__fold-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u2024, _u2025, _u2026) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2024), _u2027)) | ( hAPP(_u2026, _u2027) = hAPP(c_Finite__Set_Ofold1(_u2024, _u2025), _u2027)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_setsum__Un__nat ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_setsum__Un__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2028), _u2029)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2028), _u2030)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2028, tc_Nat_Onat), _u2031), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2028, tc_HOL_Obool)), _u2029), _u2030)) = 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(_u2028, tc_Nat_Onat), _u2031), _u2029)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2028, tc_Nat_Onat), _u2031), _u2030))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2028, tc_Nat_Onat), _u2031), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2028, tc_HOL_Obool)), _u2029), _u2030)))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_sup__Inf__absorb ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_sup__Inf__absorb-1, axiom, ( ~class_Lattices_Olattice(_u2032) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2032), _u2033)) | ~hBOOL(hAPP(hAPP(c_member(_u2032), _u2034), _u2033)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2032), _u2034), c_Big__Operators_Olattice__class_OInf__fin(_u2032, _u2033)) = _u2034) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Inf__fin_Oin__idem ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Inf__fin_Oin__idem-1, axiom, ( ~class_Lattices_Olattice(_u2035) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2035), _u2036)) | ~hBOOL(hAPP(hAPP(c_member(_u2035), _u2037), _u2036)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2035), _u2037), c_Big__Operators_Olattice__class_OInf__fin(_u2035, _u2036)) = c_Big__Operators_Olattice__class_OInf__fin(_u2035, _u2036)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Sup__fin_OF__eq ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Sup__fin_OF__eq-1, axiom, ( ~class_Lattices_Olattice(_u2038) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2038), _u2039)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u2038, _u2039) = hAPP(c_Finite__Set_Ofold1(_u2038, c_Lattices_Osemilattice__sup__class_Osup(_u2038)), _u2039)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_setsum_Oinsert ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_setsum_Oinsert-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2040) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2041), _u2042)) | hBOOL(hAPP(hAPP(c_member(_u2041), _u2043), _u2042)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2041, _u2040), _u2044), hAPP(hAPP(c_Set_Oinsert(_u2041), _u2043), _u2042)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2040), hAPP(_u2044, _u2043)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2041, _u2040), _u2044), _u2042))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_setsum__insert ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_setsum__insert-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2045) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2046), _u2047)) | hBOOL(hAPP(hAPP(c_member(_u2046), _u2048), _u2047)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2046, _u2045), _u2049), hAPP(hAPP(c_Set_Oinsert(_u2046), _u2048), _u2047)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2045), hAPP(_u2049, _u2048)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2046, _u2045), _u2049), _u2047))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_setsum__Un__Int ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_setsum__Un__Int-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2050) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2051), _u2052)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2051), _u2053)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2050), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2051, _u2050), _u2054), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2051, tc_HOL_Obool)), _u2052), _u2053))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2051, _u2050), _u2054), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2051, tc_HOL_Obool)), _u2052), _u2053))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2050), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2051, _u2050), _u2054), _u2052)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2051, _u2050), _u2054), _u2053))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_fold1__belowI ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_fold1__belowI-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2055) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2055), _u2056)) | ~hBOOL(hAPP(hAPP(c_member(_u2055), _u2057), _u2056)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2055), hAPP(c_Finite__Set_Ofold1(_u2055, c_Lattices_Osemilattice__inf__class_Oinf(_u2055)), _u2056)), _u2057)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_below__fold1__iff ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_below__fold1__iff-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2060) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2060), _u2061)) | ( _u2061 = c_Orderings_Obot__class_Obot(tc_fun(_u2060, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2060), _u2062), hAPP(c_Finite__Set_Ofold1(_u2060, c_Lattices_Osemilattice__inf__class_Oinf(_u2060)), _u2061))) | ~hBOOL(hAPP(hAPP(c_member(_u2060), _u2058), _u2061)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2060), _u2062), _u2058)) )).
% 20.29/20.52 cnf(fact_below__fold1__iff-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u2060) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2060), _u2061)) | ( _u2061 = c_Orderings_Obot__class_Obot(tc_fun(_u2060, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2060), _u2062), hAPP(c_Finite__Set_Ofold1(_u2060, c_Lattices_Osemilattice__inf__class_Oinf(_u2060)), _u2061))) | hBOOL(hAPP(hAPP(c_member(_u2060), skolem37(_u2062, _u2061, _u2060)), _u2061)) )).
% 20.29/20.52 cnf(fact_below__fold1__iff-3, axiom, ( ~class_Lattices_Osemilattice__inf(_u2060) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2060), _u2061)) | ( _u2061 = c_Orderings_Obot__class_Obot(tc_fun(_u2060, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2060), _u2062), hAPP(c_Finite__Set_Ofold1(_u2060, c_Lattices_Osemilattice__inf__class_Oinf(_u2060)), _u2061))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2060), _u2062), skolem37(_u2062, _u2061, _u2060))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_fold1__insert__idem ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_fold1__insert__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u2063) | ( _u2064 = c_Orderings_Obot__class_Obot(tc_fun(_u2063, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2063), _u2064)) | ( hAPP(c_Finite__Set_Ofold1(_u2063, c_Groups_Otimes__class_Otimes(_u2063)), hAPP(hAPP(c_Set_Oinsert(_u2063), _u2065), _u2064)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2063), _u2065), hAPP(c_Finite__Set_Ofold1(_u2063, c_Groups_Otimes__class_Otimes(_u2063)), _u2064))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_fold1__Un2 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_fold1__Un2-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u2066) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2066), _u2067)) | ( _u2067 = c_Orderings_Obot__class_Obot(tc_fun(_u2066, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2066), _u2068)) | ( _u2068 = c_Orderings_Obot__class_Obot(tc_fun(_u2066, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u2066, c_Groups_Otimes__class_Otimes(_u2066)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2066, tc_HOL_Obool)), _u2067), _u2068)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2066), hAPP(c_Finite__Set_Ofold1(_u2066, c_Groups_Otimes__class_Otimes(_u2066)), _u2067)), hAPP(c_Finite__Set_Ofold1(_u2066, c_Groups_Otimes__class_Otimes(_u2066)), _u2068))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Inf__fin_Oinsert__idem ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Inf__fin_Oinsert__idem-1, axiom, ( ~class_Lattices_Olattice(_u2069) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2069), _u2070)) | ( _u2070 = c_Orderings_Obot__class_Obot(tc_fun(_u2069, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u2069, hAPP(hAPP(c_Set_Oinsert(_u2069), _u2071), _u2070)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2069), _u2071), c_Big__Operators_Olattice__class_OInf__fin(_u2069, _u2070))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Inf__fin_Osubset__idem ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Inf__fin_Osubset__idem-1, axiom, ( ~class_Lattices_Olattice(_u2072) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2072), _u2073)) | ( _u2074 = c_Orderings_Obot__class_Obot(tc_fun(_u2072, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2072, tc_HOL_Obool)), _u2074), _u2073)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2072), c_Big__Operators_Olattice__class_OInf__fin(_u2072, _u2074)), c_Big__Operators_Olattice__class_OInf__fin(_u2072, _u2073)) = c_Big__Operators_Olattice__class_OInf__fin(_u2072, _u2073)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Inf__fin_Ounion__idem ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Inf__fin_Ounion__idem-1, axiom, ( ~class_Lattices_Olattice(_u2075) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2075), _u2076)) | ( _u2076 = c_Orderings_Obot__class_Obot(tc_fun(_u2075, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2075), _u2077)) | ( _u2077 = c_Orderings_Obot__class_Obot(tc_fun(_u2075, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u2075, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2075, tc_HOL_Obool)), _u2076), _u2077)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2075), c_Big__Operators_Olattice__class_OInf__fin(_u2075, _u2076)), c_Big__Operators_Olattice__class_OInf__fin(_u2075, _u2077))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Inf__le__Sup ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Inf__le__Sup-1, axiom, ( ~class_Lattices_Olattice(_u2078) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2078), _u2079)) | ( _u2079 = c_Orderings_Obot__class_Obot(tc_fun(_u2078, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2078), c_Big__Operators_Olattice__class_OInf__fin(_u2078, _u2079)), c_Big__Operators_Olattice__class_OSup__fin(_u2078, _u2079))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_setsum_Oinsert__remove ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_setsum_Oinsert__remove-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2080) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2081), _u2082)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2081, _u2080), _u2083), hAPP(hAPP(c_Set_Oinsert(_u2081), _u2084), _u2082)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2080), hAPP(_u2083, _u2084)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2081, _u2080), _u2083), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2081, tc_HOL_Obool)), _u2082), hAPP(hAPP(c_Set_Oinsert(_u2081), _u2084), c_Orderings_Obot__class_Obot(tc_fun(_u2081, tc_HOL_Obool))))))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_setsum__Un__disjoint ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_setsum__Un__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2085) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2086), _u2087)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2086), _u2088)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2086, tc_HOL_Obool)), _u2087), _u2088) != c_Orderings_Obot__class_Obot(tc_fun(_u2086, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2086, _u2085), _u2089), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2086, tc_HOL_Obool)), _u2087), _u2088)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2085), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2086, _u2085), _u2089), _u2087)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2086, _u2085), _u2089), _u2088))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_setsum__Un ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_setsum__Un-1, axiom, ( ~class_Groups_Oab__group__add(_u2090) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2091), _u2092)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2091), _u2093)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2091, _u2090), _u2094), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2091, tc_HOL_Obool)), _u2092), _u2093)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2090), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2090), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2091, _u2090), _u2094), _u2092)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2091, _u2090), _u2094), _u2093))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2091, _u2090), _u2094), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2091, tc_HOL_Obool)), _u2092), _u2093)))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_semilattice__big_OF__eq ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_semilattice__big_OF__eq-1, axiom, ( ~c_Big__Operators_Osemilattice__big(_u2095, _u2096, _u2097) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2095), _u2098)) | ( hAPP(_u2097, _u2098) = hAPP(c_Finite__Set_Ofold1(_u2095, _u2096), _u2098)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_less__add__iff2 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_less__add__iff2-1, axiom, ( ~class_Rings_Oordered__ring(_u2099) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2099), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2099), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2099), _u2100), _u2101)), _u2102)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2099), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2099), _u2103), _u2101)), _u2104))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2099), _u2102), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2099), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2099), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2099), _u2103), _u2100)), _u2101)), _u2104))) )).
% 20.29/20.52 cnf(fact_less__add__iff2-2, axiom, ( ~class_Rings_Oordered__ring(_u2099) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2099), _u2102), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2099), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2099), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2099), _u2103), _u2100)), _u2101)), _u2104))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2099), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2099), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2099), _u2100), _u2101)), _u2102)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2099), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2099), _u2103), _u2101)), _u2104))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_less__add__iff1 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_less__add__iff1-1, axiom, ( ~class_Rings_Oordered__ring(_u2105) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2105), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2105), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2105), _u2106), _u2107)), _u2108)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2105), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2105), _u2109), _u2107)), _u2110))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2105), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2105), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2105), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2105), _u2106), _u2109)), _u2107)), _u2108)), _u2110)) )).
% 20.29/20.52 cnf(fact_less__add__iff1-2, axiom, ( ~class_Rings_Oordered__ring(_u2105) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2105), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2105), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2105), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2105), _u2106), _u2109)), _u2107)), _u2108)), _u2110)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2105), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2105), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2105), _u2106), _u2107)), _u2108)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2105), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2105), _u2109), _u2107)), _u2110))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_le__add__iff2 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_le__add__iff2-1, axiom, ( ~class_Rings_Oordered__ring(_u2111) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2111), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2111), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2111), _u2112), _u2113)), _u2114)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2111), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2111), _u2115), _u2113)), _u2116))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2111), _u2114), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2111), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2111), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2111), _u2115), _u2112)), _u2113)), _u2116))) )).
% 20.29/20.52 cnf(fact_le__add__iff2-2, axiom, ( ~class_Rings_Oordered__ring(_u2111) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2111), _u2114), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2111), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2111), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2111), _u2115), _u2112)), _u2113)), _u2116))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2111), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2111), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2111), _u2112), _u2113)), _u2114)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2111), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2111), _u2115), _u2113)), _u2116))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_le__add__iff1 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_le__add__iff1-1, axiom, ( ~class_Rings_Oordered__ring(_u2117) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2117), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2117), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2117), _u2118), _u2119)), _u2120)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2117), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2117), _u2121), _u2119)), _u2122))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2117), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2117), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2117), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2117), _u2118), _u2121)), _u2119)), _u2120)), _u2122)) )).
% 20.29/20.52 cnf(fact_le__add__iff1-2, axiom, ( ~class_Rings_Oordered__ring(_u2117) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2117), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2117), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2117), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2117), _u2118), _u2121)), _u2119)), _u2120)), _u2122)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2117), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2117), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2117), _u2118), _u2119)), _u2120)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2117), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2117), _u2121), _u2119)), _u2122))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_eq__add__iff2 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_eq__add__iff2-1, axiom, ( ~class_Rings_Oring(_u2123) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2123), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2123), _u2124), _u2125)), _u2126) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2123), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2123), _u2127), _u2125)), _u2128)) | ( _u2126 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2123), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2123), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2123), _u2127), _u2124)), _u2125)), _u2128)) )).
% 20.29/20.52 cnf(fact_eq__add__iff2-2, axiom, ( ~class_Rings_Oring(_u2123) | ( _u2126 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2123), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2123), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2123), _u2127), _u2124)), _u2125)), _u2128)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2123), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2123), _u2124), _u2125)), _u2126) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2123), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2123), _u2127), _u2125)), _u2128)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_eq__add__iff1 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_eq__add__iff1-1, axiom, ( ~class_Rings_Oring(_u2129) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2129), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2129), _u2130), _u2131)), _u2132) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2129), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2129), _u2133), _u2131)), _u2134)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2129), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2129), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2129), _u2130), _u2133)), _u2131)), _u2132) = _u2134) )).
% 20.29/20.52 cnf(fact_eq__add__iff1-2, axiom, ( ~class_Rings_Oring(_u2129) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2129), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2129), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2129), _u2130), _u2133)), _u2131)), _u2132) != _u2134) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2129), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2129), _u2130), _u2131)), _u2132) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2129), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2129), _u2133), _u2131)), _u2134)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_Inf__fin_Oclosed ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_Inf__fin_Oclosed-1, axiom, ( ~class_Lattices_Olattice(_u2137) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2137), _u2138)) | ( _u2138 = c_Orderings_Obot__class_Obot(tc_fun(_u2137, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2137), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2137), skolem38(_u2138, _u2137)), skolem39(_u2138, _u2137))), hAPP(hAPP(c_Set_Oinsert(_u2137), skolem38(_u2138, _u2137)), hAPP(hAPP(c_Set_Oinsert(_u2137), skolem39(_u2138, _u2137)), c_Orderings_Obot__class_Obot(tc_fun(_u2137, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u2137), c_Big__Operators_Olattice__class_OInf__fin(_u2137, _u2138)), _u2138)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_fold1__in ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_fold1__in-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u2141) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2141), _u2142)) | ( _u2142 = c_Orderings_Obot__class_Obot(tc_fun(_u2141, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2141), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2141), skolem40(_u2142, _u2141)), skolem41(_u2142, _u2141))), hAPP(hAPP(c_Set_Oinsert(_u2141), skolem40(_u2142, _u2141)), hAPP(hAPP(c_Set_Oinsert(_u2141), skolem41(_u2142, _u2141)), c_Orderings_Obot__class_Obot(tc_fun(_u2141, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u2141), hAPP(c_Finite__Set_Ofold1(_u2141, c_Groups_Otimes__class_Otimes(_u2141)), _u2142)), _u2142)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2143) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2143), _u2144), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2143), _u2145), _u2146)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2143), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2143), _u2144), _u2145)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2143), _u2144), _u2146))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_linorder__neqE__linordered__idom ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_linorder__neqE__linordered__idom-1, axiom, ( ~class_Rings_Olinordered__idom(_u2147) | ( _u2148 = _u2149) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2147), _u2148), _u2149)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2147), _u2149), _u2148)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2150) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2150), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2150), _u2151), _u2152)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2150), _u2153), _u2154)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2150), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2150), _u2151), _u2153)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2150), _u2152), _u2154))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2155) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2155), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2155), _u2156), _u2157)), _u2158) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2155), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2155), _u2156), _u2158)), _u2157)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2159) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2159), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2159), _u2160), _u2161)), _u2162) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2159), _u2160), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2159), _u2161), _u2162))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2163) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2163), _u2164), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2163), _u2165), _u2166)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2163), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2163), _u2164), _u2165)), _u2166)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2167) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2167), _u2168), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2167), _u2169), _u2170)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2167), _u2169), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2167), _u2168), _u2170))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2171) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2171), _u2172), _u2173) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2171), _u2173), _u2172)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2174) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2174), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2174), _u2175), _u2176)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2174), _u2177), _u2178)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2174), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2174), _u2175), _u2177)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2174), _u2176), _u2178))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2179) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2179), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2179), _u2180), _u2181)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2179), _u2182), _u2183)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2179), _u2182), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2179), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2179), _u2180), _u2181)), _u2183))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2184) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2184), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2184), _u2185), _u2186)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2184), _u2187), _u2188)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2184), _u2185), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2184), _u2186), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2184), _u2187), _u2188)))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2189) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2189), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2189), _u2190), _u2191)), _u2192) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2189), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2189), _u2190), _u2192)), _u2191)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2193) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2193), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2193), _u2194), _u2195)), _u2196) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2193), _u2194), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2193), _u2195), _u2196))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2197) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2197), _u2198), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2197), _u2199), _u2200)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2197), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2197), _u2198), _u2199)), _u2200)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2201) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2201), _u2202), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2201), _u2203), _u2204)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2201), _u2203), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2201), _u2202), _u2204))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2205) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2205), _u2206), _u2207) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2205), _u2207), _u2206)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_crossproduct__eq ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_crossproduct__eq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2208) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2208), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2208), _u2209), _u2210)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2208), _u2211), _u2212)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2208), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2208), _u2209), _u2212)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2208), _u2211), _u2210))) | ( _u2209 = _u2211) | ( _u2210 = _u2212) )).
% 20.29/20.52 cnf(fact_crossproduct__eq-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2208) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2208), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2208), _u2209), _u2210)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2208), _u2211), _u2212)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2208), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2208), _u2209), _u2212)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2208), _u2211), _u2210))) | ( _u2209 != _u2211) )).
% 20.29/20.52 cnf(fact_crossproduct__eq-3, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2208) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2208), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2208), _u2209), _u2210)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2208), _u2211), _u2212)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2208), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2208), _u2209), _u2212)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2208), _u2211), _u2210))) | ( _u2210 != _u2212) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_combine__common__factor ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_combine__common__factor-1, axiom, ( ~class_Rings_Osemiring(_u2213) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2213), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2213), _u2214), _u2215)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2213), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2213), _u2216), _u2215)), _u2217)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2213), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2213), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2213), _u2214), _u2216)), _u2215)), _u2217)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2218) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2218), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2218), _u2219), _u2220)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2218), _u2221), _u2220)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2218), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2218), _u2219), _u2221)), _u2220)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2222) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2222), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2222), _u2223), _u2224)), _u2225) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2222), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2222), _u2223), _u2225)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2222), _u2224), _u2225))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_comm__semiring__class_Odistrib ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_comm__semiring__class_Odistrib-1, axiom, ( ~class_Rings_Ocomm__semiring(_u2226) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2226), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2226), _u2227), _u2228)), _u2229) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2226), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2226), _u2227), _u2229)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2226), _u2228), _u2229))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_crossproduct__noteq ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_crossproduct__noteq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2230) | ( _u2231 = _u2232) | ( _u2233 = _u2234) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2230), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2230), _u2231), _u2233)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2230), _u2232), _u2234)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2230), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2230), _u2231), _u2234)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2230), _u2232), _u2233))) )).
% 20.29/20.52 cnf(fact_crossproduct__noteq-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2230) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2230), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2230), _u2231), _u2233)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2230), _u2232), _u2234)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2230), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2230), _u2231), _u2234)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2230), _u2232), _u2233))) | ( _u2231 != _u2232) )).
% 20.29/20.52 cnf(fact_crossproduct__noteq-3, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2230) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2230), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2230), _u2231), _u2233)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2230), _u2232), _u2234)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2230), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2230), _u2231), _u2234)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2230), _u2232), _u2233))) | ( _u2233 != _u2234) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_diff__add__assoc2 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_diff__add__assoc2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2235), _u2236)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2236), _u2237)), _u2235) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2236), _u2235)), _u2237)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_add__diff__assoc2 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_add__diff__assoc2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2238), _u2239)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2239), _u2238)), _u2240) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2239), _u2240)), _u2238)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_diff__add__assoc ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_diff__add__assoc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2241), _u2242)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2243), _u2242)), _u2241) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2243), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2242), _u2241))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_le__imp__diff__is__add ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_le__imp__diff__is__add-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2244), _u2245)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2245), _u2244) != _u2246) | ( _u2245 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2246), _u2244)) )).
% 20.29/20.52 cnf(fact_le__imp__diff__is__add-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2244), _u2245)) | ( _u2245 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2246), _u2244)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2245), _u2244) = _u2246) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_le__add__diff__inverse2 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_le__add__diff__inverse2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2247), _u2248)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2248), _u2247)), _u2247) = _u2248) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_le__diff__conv2 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_le__diff__conv2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2249), _u2250)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2251), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2250), _u2249))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2251), _u2249)), _u2250)) )).
% 20.29/20.52 cnf(fact_le__diff__conv2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2249), _u2250)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2251), _u2249)), _u2250)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2251), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2250), _u2249))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_add__diff__assoc ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_add__diff__assoc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2252), _u2253)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2254), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2253), _u2252)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2254), _u2253)), _u2252)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_le__add__diff__inverse ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_le__add__diff__inverse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2255), _u2256)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2255), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2256), _u2255)) = _u2256) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_le__add__diff ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_le__add__diff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2257), _u2258)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2259), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2258), _u2259)), _u2257))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_le__diff__conv ( axiom ) converted to clauses:
% 20.29/20.52 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), _u2263), _u2265)), _u2267)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2263), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2267), _u2265))) )).
% 20.29/20.52 cnf(fact_le__diff__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2264), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2268), _u2266))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2264), _u2266)), _u2268)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_le__square ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_le__square-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2269), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2269), _u2269))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_le__cube ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_le__cube-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2270), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2270), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2270), _u2270)))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_mult__le__mono1 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_mult__le__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2271), _u2272)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2271), _u2273)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2272), _u2273))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_mult__le__mono2 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_mult__le__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2274), _u2275)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2276), _u2274)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2276), _u2275))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_mult__le__mono ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_mult__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2277), _u2278)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2279), _u2280)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2277), _u2279)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2278), _u2280))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_le__antisym ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_le__antisym-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2281), _u2282)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2282), _u2281)) | ( _u2281 = _u2282) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_le__trans ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_le__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2283), _u2284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2284), _u2285)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2283), _u2285)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_eq__imp__le ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_eq__imp__le-1, axiom, ( ( _u2286 != _u2287) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2286), _u2287)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_nat__le__linear ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_nat__le__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2288), _u2289)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2289), _u2288)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_le__refl ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_le__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2290), _u2290)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_less__or__eq__imp__le ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_less__or__eq__imp__le-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2291), _u2292)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2291), _u2292)) )).
% 20.29/20.52 cnf(fact_less__or__eq__imp__le-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2291), _u2292)) | ( _u2291 != _u2292) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_le__neq__implies__less ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_le__neq__implies__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2293), _u2294)) | ( _u2293 = _u2294) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2293), _u2294)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_less__imp__le__nat ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_less__imp__le__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2295), _u2296)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2295), _u2296)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_le__eq__less__or__eq ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_le__eq__less__or__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2299), _u2301)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2299), _u2301)) | ( _u2299 = _u2301) )).
% 20.29/20.52 cnf(fact_le__eq__less__or__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2300), _u2302)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2300), _u2302)) )).
% 20.29/20.52 cnf(fact_le__eq__less__or__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2300), _u2302)) | ( _u2300 != _u2302) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_nat__less__le ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_nat__less__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2305), _u2307)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2305), _u2307)) )).
% 20.29/20.52 cnf(fact_nat__less__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2305), _u2307)) | ( _u2305 != _u2307) )).
% 20.29/20.52 cnf(fact_nat__less__le-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2306), _u2308)) | ( _u2306 = _u2308) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2306), _u2308)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_nat__add__right__cancel ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_nat__add__right__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2312), _u2314) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2316), _u2314)) | ( _u2312 = _u2316) )).
% 20.29/20.52 cnf(fact_nat__add__right__cancel-2, axiom, ( ( _u2313 != _u2317) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2313), _u2315) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2317), _u2315)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_nat__add__left__cancel ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_nat__add__left__cancel-1, axiom, ( ( _u2323 = _u2325) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2321), _u2323) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2321), _u2325)) )).
% 20.29/20.52 cnf(fact_nat__add__left__cancel-2, axiom, ( ( _u2324 != _u2326) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2322), _u2324) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2322), _u2326)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_nat__add__assoc ( axiom ) converted to clauses:
% 20.29/20.52 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), _u2327), _u2328)), _u2329) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2327), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2328), _u2329))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_nat__add__left__commute ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_nat__add__left__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2330), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2331), _u2332)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2331), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2330), _u2332))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_nat__add__commute ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_nat__add__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2333), _u2334) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2334), _u2333)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_le__add2 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_le__add2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2335), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2336), _u2335))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_le__add1 ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_le__add1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2337), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2337), _u2338))) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_le__iff__add ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_le__iff__add-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2343), _u2345)) | ( _u2345 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2343), skolem42(_u2345, _u2343))) )).
% 20.29/20.52 cnf(fact_le__iff__add-2, axiom, ( ( _u2346 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2344), _u2340)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2344), _u2346)) )).
% 20.29/20.52
% 20.29/20.52 % Formula: fact_nat__add__left__cancel__le ( axiom ) converted to clauses:
% 20.29/20.52 cnf(fact_nat__add__left__cancel__le-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2352), _u2354)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2350), _u2352)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2350), _u2354))) )).
% 20.36/20.52 cnf(fact_nat__add__left__cancel__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2353), _u2355)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2351), _u2353)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2351), _u2355))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_trans__le__add1 ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_trans__le__add1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2356), _u2357)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2356), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2357), _u2358))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_trans__le__add2 ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_trans__le__add2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2359), _u2360)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2359), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2361), _u2360))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_add__le__mono1 ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_add__le__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2362), _u2363)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2362), _u2364)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2363), _u2364))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_add__le__mono ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_add__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2365), _u2366)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2367), _u2368)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2365), _u2367)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2366), _u2368))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_add__leD2 ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_add__leD2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2370), _u2371)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2369), _u2370)), _u2371)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_add__leD1 ( axiom ) converted to clauses:
% 20.36/20.52 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), _u2372), _u2373)), _u2374)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2372), _u2374)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_add__leE ( axiom ) converted to clauses:
% 20.36/20.52 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), _u2375), _u2376)), _u2377)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2375), _u2377)) )).
% 20.36/20.52 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), _u2375), _u2376)), _u2377)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2376), _u2377)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_not__add__less1 ( axiom ) converted to clauses:
% 20.36/20.52 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), _u2378), _u2379)), _u2378)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_not__add__less2 ( axiom ) converted to clauses:
% 20.36/20.52 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), _u2380), _u2381)), _u2381)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_add__mult__distrib2 ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_add__mult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2382), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2383), _u2384)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2382), _u2383)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2382), _u2384))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_add__mult__distrib ( axiom ) converted to clauses:
% 20.36/20.52 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), _u2385), _u2386)), _u2387) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2385), _u2387)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2386), _u2387))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_nat__add__left__cancel__less ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_nat__add__left__cancel__less-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2393), _u2395)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2391), _u2393)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2391), _u2395))) )).
% 20.36/20.52 cnf(fact_nat__add__left__cancel__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2394), _u2396)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2392), _u2394)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2392), _u2396))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_trans__less__add1 ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_trans__less__add1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2397), _u2398)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2397), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2398), _u2399))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_trans__less__add2 ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_trans__less__add2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2400), _u2401)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2400), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2402), _u2401))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_add__less__mono1 ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_add__less__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2403), _u2404)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2403), _u2405)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2404), _u2405))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_add__less__mono ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_add__less__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2406), _u2407)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2408), _u2409)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2406), _u2408)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2407), _u2409))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_less__add__eq__less ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_less__add__eq__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2410), _u2411)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2412), _u2411) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2410), _u2413)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2412), _u2413)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_add__lessD1 ( axiom ) converted to clauses:
% 20.36/20.52 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), _u2414), _u2415)), _u2416)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2414), _u2416)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_less__diff__iff ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_less__diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2417), _u2418)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2417), _u2419)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2418), _u2417)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2419), _u2417))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2418), _u2419)) )).
% 20.36/20.52 cnf(fact_less__diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2417), _u2418)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2417), _u2419)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2418), _u2419)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2418), _u2417)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2419), _u2417))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_diff__less__mono ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_diff__less__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2420), _u2421)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2422), _u2420)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2420), _u2422)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2421), _u2422))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_diff__less__mono2 ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_diff__less__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2423), _u2424)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2423), _u2425)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2425), _u2424)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2425), _u2423))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_less__imp__diff__less ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_less__imp__diff__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2426), _u2427)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2426), _u2428)), _u2427)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_diff__mult__distrib ( axiom ) converted to clauses:
% 20.36/20.52 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), _u2429), _u2430)), _u2431) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2429), _u2431)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2430), _u2431))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_diff__mult__distrib2 ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_diff__mult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2432), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2433), _u2434)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2432), _u2433)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2432), _u2434))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_diff__commute ( axiom ) converted to clauses:
% 20.36/20.52 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), _u2435), _u2436)), _u2437) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2435), _u2437)), _u2436)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_diff__le__self ( axiom ) converted to clauses:
% 20.36/20.52 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), _u2438), _u2439)), _u2438)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_diff__le__mono2 ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_diff__le__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2440), _u2441)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2442), _u2441)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2442), _u2440))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_diff__le__mono ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_diff__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2443), _u2444)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2443), _u2445)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2444), _u2445))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_diff__diff__cancel ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_diff__diff__cancel-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2446), _u2447)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2447), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2447), _u2446)) = _u2446) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_eq__diff__iff ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_eq__diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2448), _u2449)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2448), _u2450)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2449), _u2448) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2450), _u2448)) | ( _u2449 = _u2450) )).
% 20.36/20.52 cnf(fact_eq__diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2448), _u2449)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2448), _u2450)) | ( _u2449 != _u2450) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2449), _u2448) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2450), _u2448)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Nat_Odiff__diff__eq ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Nat_Odiff__diff__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2451), _u2452)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2451), _u2453)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2452), _u2451)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2453), _u2451)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2452), _u2453)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_le__diff__iff ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_le__diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2454), _u2455)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2454), _u2456)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2455), _u2454)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2456), _u2454))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2455), _u2456)) )).
% 20.36/20.52 cnf(fact_le__diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2454), _u2455)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2454), _u2456)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2455), _u2456)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2455), _u2454)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2456), _u2454))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_add__diff__inverse ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_add__diff__inverse-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2457), _u2458)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2458), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2457), _u2458)) = _u2457) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_less__diff__conv ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_less__diff__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2462), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2464), _u2466))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2462), _u2466)), _u2464)) )).
% 20.36/20.52 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), _u2463), _u2467)), _u2465)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2463), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2465), _u2467))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_diff__add__inverse2 ( axiom ) converted to clauses:
% 20.36/20.52 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), _u2468), _u2469)), _u2469) = _u2468) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_diff__add__inverse ( axiom ) converted to clauses:
% 20.36/20.52 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), _u2470), _u2471)), _u2470) = _u2471) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_diff__diff__left ( axiom ) converted to clauses:
% 20.36/20.52 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), _u2472), _u2473)), _u2474) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2472), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2473), _u2474))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_diff__cancel ( axiom ) converted to clauses:
% 20.36/20.52 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), _u2475), _u2476)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2475), _u2477)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2476), _u2477)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_diff__cancel2 ( axiom ) converted to clauses:
% 20.36/20.52 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), _u2478), _u2479)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2480), _u2479)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2478), _u2480)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_diff__diff__right ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_diff__diff__right-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2481), _u2482)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2483), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2482), _u2481)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2483), _u2481)), _u2482)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_nat__le__add__iff1 ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_nat__le__add__iff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2484), _u2485)) | ~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), _u2485), _u2486)), _u2487)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2484), _u2486)), _u2488))) | 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), _u2485), _u2484)), _u2486)), _u2487)), _u2488)) )).
% 20.36/20.52 cnf(fact_nat__le__add__iff1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2484), _u2485)) | ~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), _u2485), _u2484)), _u2486)), _u2487)), _u2488)) | 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), _u2485), _u2486)), _u2487)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2484), _u2486)), _u2488))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_nat__less__add__iff1 ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_nat__less__add__iff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2489), _u2490)) | ~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), _u2490), _u2491)), _u2492)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2489), _u2491)), _u2493))) | 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), _u2490), _u2489)), _u2491)), _u2492)), _u2493)) )).
% 20.36/20.52 cnf(fact_nat__less__add__iff1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2489), _u2490)) | ~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), _u2490), _u2489)), _u2491)), _u2492)), _u2493)) | 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), _u2490), _u2491)), _u2492)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2489), _u2491)), _u2493))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_nat__diff__add__eq1 ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_nat__diff__add__eq1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2494), _u2495)) | ( 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), _u2495), _u2496)), _u2497)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2494), _u2496)), _u2498)) = 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), _u2495), _u2494)), _u2496)), _u2497)), _u2498)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_nat__eq__add__iff1 ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_nat__eq__add__iff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2499), _u2500)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2500), _u2501)), _u2502) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2499), _u2501)), _u2503)) | ( 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), _u2500), _u2499)), _u2501)), _u2502) = _u2503) )).
% 20.36/20.52 cnf(fact_nat__eq__add__iff1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2499), _u2500)) | ( 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), _u2500), _u2499)), _u2501)), _u2502) != _u2503) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2500), _u2501)), _u2502) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2499), _u2501)), _u2503)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_nat__le__add__iff2 ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_nat__le__add__iff2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2504), _u2505)) | ~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), _u2504), _u2506)), _u2507)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2505), _u2506)), _u2508))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2507), 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), _u2505), _u2504)), _u2506)), _u2508))) )).
% 20.36/20.52 cnf(fact_nat__le__add__iff2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2504), _u2505)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2507), 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), _u2505), _u2504)), _u2506)), _u2508))) | 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), _u2504), _u2506)), _u2507)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2505), _u2506)), _u2508))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_nat__less__add__iff2 ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_nat__less__add__iff2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2509), _u2510)) | ~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), _u2509), _u2511)), _u2512)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2510), _u2511)), _u2513))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2512), 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), _u2510), _u2509)), _u2511)), _u2513))) )).
% 20.36/20.52 cnf(fact_nat__less__add__iff2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2509), _u2510)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2512), 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), _u2510), _u2509)), _u2511)), _u2513))) | 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), _u2509), _u2511)), _u2512)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2510), _u2511)), _u2513))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_nat__diff__add__eq2 ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_nat__diff__add__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2514), _u2515)) | ( 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), _u2514), _u2516)), _u2517)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2515), _u2516)), _u2518)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2517), 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), _u2515), _u2514)), _u2516)), _u2518))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_nat__eq__add__iff2 ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_nat__eq__add__iff2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2519), _u2520)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2519), _u2521)), _u2522) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2520), _u2521)), _u2523)) | ( _u2522 = 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), _u2520), _u2519)), _u2521)), _u2523)) )).
% 20.36/20.52 cnf(fact_nat__eq__add__iff2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2519), _u2520)) | ( _u2522 != 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), _u2520), _u2519)), _u2521)), _u2523)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2519), _u2521)), _u2522) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2520), _u2521)), _u2523)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_termination__basic__simps_I3_J ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_termination__basic__simps_I3_J-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), _u2524), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2525), _u2526))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_nat__mult__assoc ( axiom ) converted to clauses:
% 20.36/20.52 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), _u2527), _u2528)), _u2529) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2527), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2528), _u2529))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_nat__mult__commute ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_nat__mult__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2530), _u2531) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2531), _u2530)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_less__not__refl ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_less__not__refl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2532), _u2532)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_nat__neq__iff ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_nat__neq__iff-1, axiom, ( ( _u2535 = _u2537) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2535), _u2537)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2537), _u2535)) )).
% 20.36/20.52 cnf(fact_nat__neq__iff-2, axiom, ( ( _u2536 != _u2538) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2536), _u2538)) )).
% 20.36/20.52 cnf(fact_nat__neq__iff-3, axiom, ( ( _u2536 != _u2538) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2538), _u2536)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_linorder__neqE__nat ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_linorder__neqE__nat-1, axiom, ( ( _u2539 = _u2540) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2539), _u2540)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2540), _u2539)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_less__irrefl__nat ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_less__irrefl__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2541), _u2541)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_less__not__refl2 ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_less__not__refl2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2542), _u2543)) | ( _u2543 != _u2542) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_less__not__refl3 ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_less__not__refl3-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2544), _u2545)) | ( _u2544 != _u2545) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_nat__less__cases ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_nat__less__cases-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2546), _u2547)) | ( _u2546 = _u2547) | hBOOL(hAPP(hAPP(_u2548, _u2547), _u2546)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2547), _u2546)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_termination__basic__simps_I2_J ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_termination__basic__simps_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2549), _u2550)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2549), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2551), _u2550))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_termination__basic__simps_I1_J ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_termination__basic__simps_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2552), _u2553)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2552), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2553), _u2554))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_left__add__mult__distrib ( axiom ) converted to clauses:
% 20.36/20.52 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), _u2555), _u2556)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2557), _u2556)), _u2558)) = 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), _u2555), _u2557)), _u2556)), _u2558)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_termination__basic__simps_I5_J ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_termination__basic__simps_I5_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2559), _u2560)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2559), _u2560)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_termination__basic__simps_I4_J ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_termination__basic__simps_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2561), _u2562)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2561), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2563), _u2562))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_card__Diff1__less ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_card__Diff1__less-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2564), _u2565)) | ~hBOOL(hAPP(hAPP(c_member(_u2564), _u2566), _u2565)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2564), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2564, tc_HOL_Obool)), _u2565), hAPP(hAPP(c_Set_Oinsert(_u2564), _u2566), c_Orderings_Obot__class_Obot(tc_fun(_u2564, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u2564), _u2565))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_card__Diff2__less ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_card__Diff2__less-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2567), _u2568)) | ~hBOOL(hAPP(hAPP(c_member(_u2567), _u2569), _u2568)) | ~hBOOL(hAPP(hAPP(c_member(_u2567), _u2570), _u2568)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2567), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2567, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2567, tc_HOL_Obool)), _u2568), hAPP(hAPP(c_Set_Oinsert(_u2567), _u2569), c_Orderings_Obot__class_Obot(tc_fun(_u2567, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u2567), _u2570), c_Orderings_Obot__class_Obot(tc_fun(_u2567, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u2567), _u2568))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_setprod_Oremove ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_setprod_Oremove-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u2571) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2572), _u2573)) | ~hBOOL(hAPP(hAPP(c_member(_u2572), _u2574), _u2573)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2572, _u2571), _u2575), _u2573) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2571), hAPP(_u2575, _u2574)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2572, _u2571), _u2575), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2572, tc_HOL_Obool)), _u2573), hAPP(hAPP(c_Set_Oinsert(_u2572), _u2574), c_Orderings_Obot__class_Obot(tc_fun(_u2572, tc_HOL_Obool))))))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Inf__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Inf__fin_Oeq__fold_H-1, axiom, ( ~class_Lattices_Olattice(_u2576) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2576), _u2577)) | hBOOL(hAPP(hAPP(c_member(_u2576), _u2578), _u2577)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u2576, hAPP(hAPP(c_Set_Oinsert(_u2576), _u2578), _u2577)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2576, _u2576, c_Lattices_Osemilattice__inf__class_Oinf(_u2576)), _u2578), _u2577)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Sup__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Sup__fin_Oeq__fold_H-1, axiom, ( ~class_Lattices_Olattice(_u2579) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2579), _u2580)) | hBOOL(hAPP(hAPP(c_member(_u2579), _u2581), _u2580)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u2579, hAPP(hAPP(c_Set_Oinsert(_u2579), _u2581), _u2580)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2579, _u2579, c_Lattices_Osemilattice__sup__class_Osup(_u2579)), _u2581), _u2580)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_fold1__eq__fold ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_fold1__eq__fold-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u2582) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2582), _u2583)) | hBOOL(hAPP(hAPP(c_member(_u2582), _u2584), _u2583)) | ( hAPP(c_Finite__Set_Ofold1(_u2582, c_Groups_Otimes__class_Otimes(_u2582)), hAPP(hAPP(c_Set_Oinsert(_u2582), _u2584), _u2583)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2582, _u2582, c_Groups_Otimes__class_Otimes(_u2582)), _u2584), _u2583)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_finite__induct ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_finite__induct-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2587), _u2588)) | ~hBOOL(hAPP(_u2589, c_Orderings_Obot__class_Obot(tc_fun(_u2587, tc_HOL_Obool)))) | hBOOL(hAPP(_u2589, _u2588)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2587), skolem44(_u2589, _u2588, _u2587))) )).
% 20.36/20.52 cnf(fact_finite__induct-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2587), _u2588)) | ~hBOOL(hAPP(_u2589, c_Orderings_Obot__class_Obot(tc_fun(_u2587, tc_HOL_Obool)))) | hBOOL(hAPP(_u2589, _u2588)) | ~hBOOL(hAPP(hAPP(c_member(_u2587), skolem43(_u2589, _u2588, _u2587)), skolem44(_u2589, _u2588, _u2587))) )).
% 20.36/20.52 cnf(fact_finite__induct-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2587), _u2588)) | ~hBOOL(hAPP(_u2589, c_Orderings_Obot__class_Obot(tc_fun(_u2587, tc_HOL_Obool)))) | hBOOL(hAPP(_u2589, _u2588)) | hBOOL(hAPP(_u2589, skolem44(_u2589, _u2588, _u2587))) )).
% 20.36/20.52 cnf(fact_finite__induct-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2587), _u2588)) | ~hBOOL(hAPP(_u2589, c_Orderings_Obot__class_Obot(tc_fun(_u2587, tc_HOL_Obool)))) | hBOOL(hAPP(_u2589, _u2588)) | ~hBOOL(hAPP(_u2589, hAPP(hAPP(c_Set_Oinsert(_u2587), skolem43(_u2589, _u2588, _u2587)), skolem44(_u2589, _u2588, _u2587)))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_fold__graph_H_Ointros_I2_J ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_fold__graph_H_Ointros_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2590), _u2591), _u2592)) | ~c_Nitpick_Ofold__graph_H(_u2590, _u2593, _u2594, _u2595, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2590, tc_HOL_Obool)), _u2592), hAPP(hAPP(c_Set_Oinsert(_u2590), _u2591), c_Orderings_Obot__class_Obot(tc_fun(_u2590, tc_HOL_Obool)))), _u2596) | c_Nitpick_Ofold__graph_H(_u2590, _u2593, _u2594, _u2595, _u2592, hAPP(hAPP(_u2594, _u2591), _u2596)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_fold1__antimono ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_fold1__antimono-1, axiom, ( ~class_Orderings_Olinorder(_u2597) | ( _u2598 = c_Orderings_Obot__class_Obot(tc_fun(_u2597, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2597, tc_HOL_Obool)), _u2598), _u2599)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2597), _u2599)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2597), hAPP(c_Finite__Set_Ofold1(_u2597, c_Orderings_Oord__class_Omin(_u2597)), _u2599)), hAPP(c_Finite__Set_Ofold1(_u2597, c_Orderings_Oord__class_Omin(_u2597)), _u2598))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Min_Oidem ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Min_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u2600) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2600), _u2601), _u2601) = _u2601) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__max_Oinf__assoc ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__max_Oinf__assoc-1, axiom, ( ~class_Orderings_Olinorder(_u2602) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2602), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2602), _u2603), _u2604)), _u2605) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2602), _u2603), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2602), _u2604), _u2605))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__max_Oinf_Oassoc ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__max_Oinf_Oassoc-1, axiom, ( ~class_Orderings_Olinorder(_u2606) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2606), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2606), _u2607), _u2608)), _u2609) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2606), _u2607), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2606), _u2608), _u2609))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__max_Oinf__left__commute ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__max_Oinf__left__commute-1, axiom, ( ~class_Orderings_Olinorder(_u2610) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2610), _u2611), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2610), _u2612), _u2613)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2610), _u2612), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2610), _u2611), _u2613))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__max_Oinf_Oleft__commute ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__max_Oinf_Oleft__commute-1, axiom, ( ~class_Orderings_Olinorder(_u2614) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2614), _u2615), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2614), _u2616), _u2617)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2614), _u2616), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2614), _u2615), _u2617))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__max_Oinf__left__idem ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__max_Oinf__left__idem-1, axiom, ( ~class_Orderings_Olinorder(_u2618) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2618), _u2619), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2618), _u2619), _u2620)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2618), _u2619), _u2620)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__max_Oinf_Oleft__idem ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__max_Oinf_Oleft__idem-1, axiom, ( ~class_Orderings_Olinorder(_u2621) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2621), _u2622), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2621), _u2622), _u2623)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2621), _u2622), _u2623)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__max_Oinf__commute ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__max_Oinf__commute-1, axiom, ( ~class_Orderings_Olinorder(_u2624) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2624), _u2625), _u2626) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2624), _u2626), _u2625)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__max_Oinf_Ocommute ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__max_Oinf_Ocommute-1, axiom, ( ~class_Orderings_Olinorder(_u2627) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2627), _u2628), _u2629) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2627), _u2629), _u2628)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__max_Oinf_Oidem ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__max_Oinf_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u2630) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2630), _u2631), _u2631) = _u2631) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__max_Ofold__inf__insert ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__max_Ofold__inf__insert-1, axiom, ( ~class_Orderings_Olinorder(_u2632) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2632), _u2633)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u2632, _u2632, c_Orderings_Oord__class_Omin(_u2632)), _u2634), hAPP(hAPP(c_Set_Oinsert(_u2632), _u2635), _u2633)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2632), _u2635), hAPP(hAPP(c_Finite__Set_Ofold(_u2632, _u2632, c_Orderings_Oord__class_Omin(_u2632)), _u2634), _u2633))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__max_Oinf__le1 ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__max_Oinf__le1-1, axiom, ( ~class_Orderings_Olinorder(_u2636) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2636), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2636), _u2637), _u2638)), _u2637)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__max_Oinf__le2 ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__max_Oinf__le2-1, axiom, ( ~class_Orderings_Olinorder(_u2639) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2639), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2639), _u2640), _u2641)), _u2641)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__max_Ole__iff__inf ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__max_Ole__iff__inf-1, axiom, ( ~class_Orderings_Olinorder(_u2642) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2642), _u2643), _u2644)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2642), _u2643), _u2644) = _u2643) )).
% 20.36/20.52 cnf(fact_min__max_Ole__iff__inf-2, axiom, ( ~class_Orderings_Olinorder(_u2642) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2642), _u2643), _u2644) != _u2643) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2642), _u2643), _u2644)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__max_Ole__inf__iff ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__max_Ole__inf__iff-1, axiom, ( ~class_Orderings_Olinorder(_u2645) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2645), _u2646), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2645), _u2647), _u2648))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2645), _u2646), _u2647)) )).
% 20.36/20.52 cnf(fact_min__max_Ole__inf__iff-2, axiom, ( ~class_Orderings_Olinorder(_u2645) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2645), _u2646), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2645), _u2647), _u2648))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2645), _u2646), _u2648)) )).
% 20.36/20.52 cnf(fact_min__max_Ole__inf__iff-3, axiom, ( ~class_Orderings_Olinorder(_u2645) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2645), _u2646), _u2647)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2645), _u2646), _u2648)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2645), _u2646), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2645), _u2647), _u2648))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__max_Ole__infI1 ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__max_Ole__infI1-1, axiom, ( ~class_Orderings_Olinorder(_u2649) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2649), _u2650), _u2651)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2649), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2649), _u2650), _u2652)), _u2651)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__max_Ole__infI2 ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__max_Ole__infI2-1, axiom, ( ~class_Orderings_Olinorder(_u2653) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2653), _u2654), _u2655)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2653), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2653), _u2656), _u2654)), _u2655)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__max_Oinf__absorb1 ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__max_Oinf__absorb1-1, axiom, ( ~class_Orderings_Olinorder(_u2657) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2657), _u2658), _u2659)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2657), _u2658), _u2659) = _u2658) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__max_Oinf__absorb2 ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__max_Oinf__absorb2-1, axiom, ( ~class_Orderings_Olinorder(_u2660) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2660), _u2661), _u2662)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2660), _u2662), _u2661) = _u2661) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__max_Ole__infI ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__max_Ole__infI-1, axiom, ( ~class_Orderings_Olinorder(_u2663) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2663), _u2664), _u2665)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2663), _u2664), _u2666)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2663), _u2664), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2663), _u2665), _u2666))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__max_Oinf__greatest ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__max_Oinf__greatest-1, axiom, ( ~class_Orderings_Olinorder(_u2667) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2667), _u2668), _u2669)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2667), _u2668), _u2670)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2667), _u2668), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2667), _u2669), _u2670))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__max_Oinf__mono ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__max_Oinf__mono-1, axiom, ( ~class_Orderings_Olinorder(_u2671) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2671), _u2672), _u2673)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2671), _u2674), _u2675)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2671), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2671), _u2672), _u2674)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2671), _u2673), _u2675))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__max_Ole__infE ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__max_Ole__infE-1, axiom, ( ~class_Orderings_Olinorder(_u2676) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2676), _u2677), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2676), _u2678), _u2679))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2676), _u2677), _u2678)) )).
% 20.36/20.52 cnf(fact_min__max_Ole__infE-2, axiom, ( ~class_Orderings_Olinorder(_u2676) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2676), _u2677), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2676), _u2678), _u2679))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2676), _u2677), _u2679)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__le__iff__disj ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__le__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u2680) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2680), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2680), _u2681), _u2682)), _u2683)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2680), _u2681), _u2683)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2680), _u2682), _u2683)) )).
% 20.36/20.52 cnf(fact_min__le__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u2680) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2680), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2680), _u2681), _u2682)), _u2683)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2680), _u2681), _u2683)) )).
% 20.36/20.52 cnf(fact_min__le__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u2680) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2680), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2680), _u2681), _u2682)), _u2683)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2680), _u2682), _u2683)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__less__iff__disj ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__less__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u2684) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2684), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2684), _u2685), _u2686)), _u2687)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2684), _u2685), _u2687)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2684), _u2686), _u2687)) )).
% 20.36/20.52 cnf(fact_min__less__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u2684) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2684), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2684), _u2685), _u2686)), _u2687)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2684), _u2685), _u2687)) )).
% 20.36/20.52 cnf(fact_min__less__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u2684) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2684), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2684), _u2685), _u2686)), _u2687)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2684), _u2686), _u2687)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__less__iff__conj ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__less__iff__conj-1, axiom, ( ~class_Orderings_Olinorder(_u2688) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2688), _u2689), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2688), _u2690), _u2691))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2688), _u2689), _u2690)) )).
% 20.36/20.52 cnf(fact_min__less__iff__conj-2, axiom, ( ~class_Orderings_Olinorder(_u2688) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2688), _u2689), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2688), _u2690), _u2691))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2688), _u2689), _u2691)) )).
% 20.36/20.52 cnf(fact_min__less__iff__conj-3, axiom, ( ~class_Orderings_Olinorder(_u2688) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2688), _u2689), _u2690)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2688), _u2689), _u2691)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2688), _u2689), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2688), _u2690), _u2691))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__max_Oless__infI2 ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__max_Oless__infI2-1, axiom, ( ~class_Orderings_Olinorder(_u2692) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2692), _u2693), _u2694)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2692), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2692), _u2695), _u2693)), _u2694)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__max_Oless__infI1 ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__max_Oless__infI1-1, axiom, ( ~class_Orderings_Olinorder(_u2696) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2696), _u2697), _u2698)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2696), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2696), _u2697), _u2699)), _u2698)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__add__distrib__left ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__add__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2700) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2700), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2700), _u2701), _u2702)), _u2703) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2700), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2700), _u2701), _u2703)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2700), _u2702), _u2703))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__diff__distrib__left ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__diff__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2704) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2704), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2704), _u2705), _u2706)), _u2707) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2704), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2704), _u2705), _u2707)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2704), _u2706), _u2707))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_fold__graph_H_Ointros_I1_J ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_fold__graph_H_Ointros_I1_J-1, axiom, ( c_Nitpick_Ofold__graph_H(_u2708, _u2709, _u2710, _u2711, c_Orderings_Obot__class_Obot(tc_fun(_u2708, tc_HOL_Obool)), _u2711) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_fold__graph_H_Oequations_I1_J ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_fold__graph_H_Oequations_I1_J-1, axiom, ( c_Nitpick_Ofold__graph_H(_u2712, _u2713, _u2714, _u2715, c_Orderings_Obot__class_Obot(tc_fun(_u2712, tc_HOL_Obool)), _u2715) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_inf__min ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_inf__min-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2716) | ~class_Orderings_Olinorder(_u2716) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u2716) = c_Orderings_Oord__class_Omin(_u2716)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_fold__empty ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_fold__empty-1, axiom, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u2717, _u2718, _u2719), _u2720), c_Orderings_Obot__class_Obot(tc_fun(_u2717, tc_HOL_Obool))) = _u2720) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__diff ( axiom ) converted to clauses:
% 20.36/20.52 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), _u2721), _u2722)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2723), _u2722)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u2721), _u2723)), _u2722)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__max_Ofold__inf__le__inf ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__max_Ofold__inf__le__inf-1, axiom, ( ~class_Orderings_Olinorder(_u2724) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2724), _u2725)) | ~hBOOL(hAPP(hAPP(c_member(_u2724), _u2726), _u2725)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2724), hAPP(hAPP(c_Finite__Set_Ofold(_u2724, _u2724, c_Orderings_Oord__class_Omin(_u2724)), _u2727), _u2725)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2724), _u2726), _u2727))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_card__insert__le ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_card__insert__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2728), _u2729)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2728), _u2729)), hAPP(c_Finite__Set_Ocard(_u2728), hAPP(hAPP(c_Set_Oinsert(_u2728), _u2730), _u2729)))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_card__seteq ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_card__seteq-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2731), _u2732)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2731, tc_HOL_Obool)), _u2733), _u2732)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2731), _u2732)), hAPP(c_Finite__Set_Ocard(_u2731), _u2733))) | ( _u2733 = _u2732) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_card__mono ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_card__mono-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2734), _u2735)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2734, tc_HOL_Obool)), _u2736), _u2735)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2734), _u2736)), hAPP(c_Finite__Set_Ocard(_u2734), _u2735))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_union__fold__insert ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_union__fold__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2737), _u2738)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2737, tc_HOL_Obool)), _u2738), _u2739) = hAPP(hAPP(c_Finite__Set_Ofold(_u2737, tc_fun(_u2737, tc_HOL_Obool), c_Set_Oinsert(_u2737)), _u2739), _u2738)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_fold__sup__insert ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_fold__sup__insert-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2740) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2740), _u2741)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u2740, _u2740, c_Lattices_Osemilattice__sup__class_Osup(_u2740)), _u2742), hAPP(hAPP(c_Set_Oinsert(_u2740), _u2743), _u2741)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2740), _u2743), hAPP(hAPP(c_Finite__Set_Ofold(_u2740, _u2740, c_Lattices_Osemilattice__sup__class_Osup(_u2740)), _u2742), _u2741))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_fold__inf__insert ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_fold__inf__insert-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2744) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2744), _u2745)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u2744, _u2744, c_Lattices_Osemilattice__inf__class_Oinf(_u2744)), _u2746), hAPP(hAPP(c_Set_Oinsert(_u2744), _u2747), _u2745)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2744), _u2747), hAPP(hAPP(c_Finite__Set_Ofold(_u2744, _u2744, c_Lattices_Osemilattice__inf__class_Oinf(_u2744)), _u2746), _u2745))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_psubset__card__mono ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_psubset__card__mono-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2748), _u2749)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2748, tc_HOL_Obool)), _u2750), _u2749)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2748), _u2750)), hAPP(c_Finite__Set_Ocard(_u2748), _u2749))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_folding__one__idem_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_folding__one__idem_Oeq__fold__idem_H-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u2751, _u2752, _u2753) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2751), _u2754)) | ( hAPP(_u2753, hAPP(hAPP(c_Set_Oinsert(_u2751), _u2755), _u2754)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2751, _u2751, _u2752), _u2755), _u2754)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_setprod__insert ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_setprod__insert-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u2756) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2757), _u2758)) | hBOOL(hAPP(hAPP(c_member(_u2757), _u2759), _u2758)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2757, _u2756), _u2760), hAPP(hAPP(c_Set_Oinsert(_u2757), _u2759), _u2758)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2756), hAPP(_u2760, _u2759)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2757, _u2756), _u2760), _u2758))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_setprod_Oinsert ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_setprod_Oinsert-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u2761) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2762), _u2763)) | hBOOL(hAPP(hAPP(c_member(_u2762), _u2764), _u2763)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2762, _u2761), _u2765), hAPP(hAPP(c_Set_Oinsert(_u2762), _u2764), _u2763)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2761), hAPP(_u2765, _u2764)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2762, _u2761), _u2765), _u2763))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_setprod__Un__Int ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_setprod__Un__Int-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u2766) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2767), _u2768)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2767), _u2769)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2766), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2767, _u2766), _u2770), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2767, tc_HOL_Obool)), _u2768), _u2769))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2767, _u2766), _u2770), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2767, tc_HOL_Obool)), _u2768), _u2769))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2766), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2767, _u2766), _u2770), _u2768)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2767, _u2766), _u2770), _u2769))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_setprod_Ounion__inter ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_setprod_Ounion__inter-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u2771) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2772), _u2773)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2772), _u2774)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2771), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2772, _u2771), _u2775), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2772, tc_HOL_Obool)), _u2773), _u2774))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2772, _u2771), _u2775), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2772, tc_HOL_Obool)), _u2773), _u2774))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2771), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2772, _u2771), _u2775), _u2773)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2772, _u2771), _u2775), _u2774))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_card__Un__Int ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_card__Un__Int-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2776), _u2777)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2776), _u2778)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2776), _u2777)), hAPP(c_Finite__Set_Ocard(_u2776), _u2778)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2776), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2776, tc_HOL_Obool)), _u2777), _u2778))), hAPP(c_Finite__Set_Ocard(_u2776), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2776, tc_HOL_Obool)), _u2777), _u2778)))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_card_Ounion__inter ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_card_Ounion__inter-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2779), _u2780)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2779), _u2781)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2779), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2779, tc_HOL_Obool)), _u2780), _u2781))), hAPP(c_Finite__Set_Ocard(_u2779), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2779, tc_HOL_Obool)), _u2780), _u2781))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2779), _u2780)), hAPP(c_Finite__Set_Ocard(_u2779), _u2781))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_sup__le__fold__sup ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_sup__le__fold__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2782) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2782), _u2783)) | ~hBOOL(hAPP(hAPP(c_member(_u2782), _u2784), _u2783)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2782), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2782), _u2784), _u2785)), hAPP(hAPP(c_Finite__Set_Ofold(_u2782, _u2782, c_Lattices_Osemilattice__sup__class_Osup(_u2782)), _u2785), _u2783))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_fold__inf__le__inf ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_fold__inf__le__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2786) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2786), _u2787)) | ~hBOOL(hAPP(hAPP(c_member(_u2786), _u2788), _u2787)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2786), hAPP(hAPP(c_Finite__Set_Ofold(_u2786, _u2786, c_Lattices_Osemilattice__inf__class_Oinf(_u2786)), _u2789), _u2787)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2786), _u2788), _u2789))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_card__Diff__subset ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_card__Diff__subset-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2790), _u2791)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2790, tc_HOL_Obool)), _u2791), _u2792)) | ( hAPP(c_Finite__Set_Ocard(_u2790), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2790, tc_HOL_Obool)), _u2792), _u2791)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2790), _u2792)), hAPP(c_Finite__Set_Ocard(_u2790), _u2791))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_card__Diff__subset__Int ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_card__Diff__subset__Int-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2793), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2793, tc_HOL_Obool)), _u2794), _u2795))) | ( hAPP(c_Finite__Set_Ocard(_u2793), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2793, tc_HOL_Obool)), _u2794), _u2795)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2793), _u2794)), hAPP(c_Finite__Set_Ocard(_u2793), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2793, tc_HOL_Obool)), _u2794), _u2795)))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_diff__card__le__card__Diff ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_diff__card__le__card__Diff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2796), _u2797)) | 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(_u2796), _u2798)), hAPP(c_Finite__Set_Ocard(_u2796), _u2797))), hAPP(c_Finite__Set_Ocard(_u2796), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2796, tc_HOL_Obool)), _u2798), _u2797)))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__max_Ofold1__belowI ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__max_Ofold1__belowI-1, axiom, ( ~class_Orderings_Olinorder(_u2799) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2799), _u2800)) | ~hBOOL(hAPP(hAPP(c_member(_u2799), _u2801), _u2800)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2799), hAPP(c_Finite__Set_Ofold1(_u2799, c_Orderings_Oord__class_Omin(_u2799)), _u2800)), _u2801)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_fold1__below__iff ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_fold1__below__iff-1, axiom, ( ~class_Orderings_Olinorder(_u2804) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2804), _u2805)) | ( _u2805 = c_Orderings_Obot__class_Obot(tc_fun(_u2804, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2804), hAPP(c_Finite__Set_Ofold1(_u2804, c_Orderings_Oord__class_Omin(_u2804)), _u2805)), _u2806)) | hBOOL(hAPP(hAPP(c_member(_u2804), skolem45(_u2806, _u2805, _u2804)), _u2805)) )).
% 20.36/20.52 cnf(fact_fold1__below__iff-2, axiom, ( ~class_Orderings_Olinorder(_u2804) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2804), _u2805)) | ( _u2805 = c_Orderings_Obot__class_Obot(tc_fun(_u2804, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2804), hAPP(c_Finite__Set_Ofold1(_u2804, c_Orderings_Oord__class_Omin(_u2804)), _u2805)), _u2806)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2804), skolem45(_u2806, _u2805, _u2804)), _u2806)) )).
% 20.36/20.52 cnf(fact_fold1__below__iff-3, axiom, ( ~class_Orderings_Olinorder(_u2804) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2804), _u2805)) | ( _u2805 = c_Orderings_Obot__class_Obot(tc_fun(_u2804, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2804), _u2803), _u2805)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2804), _u2803), _u2806)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2804), hAPP(c_Finite__Set_Ofold1(_u2804, c_Orderings_Oord__class_Omin(_u2804)), _u2805)), _u2806)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__max_Obelow__fold1__iff ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__max_Obelow__fold1__iff-1, axiom, ( ~class_Orderings_Olinorder(_u2809) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2809), _u2810)) | ( _u2810 = c_Orderings_Obot__class_Obot(tc_fun(_u2809, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2809), _u2811), hAPP(c_Finite__Set_Ofold1(_u2809, c_Orderings_Oord__class_Omin(_u2809)), _u2810))) | ~hBOOL(hAPP(hAPP(c_member(_u2809), _u2807), _u2810)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2809), _u2811), _u2807)) )).
% 20.36/20.52 cnf(fact_min__max_Obelow__fold1__iff-2, axiom, ( ~class_Orderings_Olinorder(_u2809) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2809), _u2810)) | ( _u2810 = c_Orderings_Obot__class_Obot(tc_fun(_u2809, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2809), _u2811), hAPP(c_Finite__Set_Ofold1(_u2809, c_Orderings_Oord__class_Omin(_u2809)), _u2810))) | hBOOL(hAPP(hAPP(c_member(_u2809), skolem46(_u2811, _u2810, _u2809)), _u2810)) )).
% 20.36/20.52 cnf(fact_min__max_Obelow__fold1__iff-3, axiom, ( ~class_Orderings_Olinorder(_u2809) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2809), _u2810)) | ( _u2810 = c_Orderings_Obot__class_Obot(tc_fun(_u2809, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2809), _u2811), hAPP(c_Finite__Set_Ofold1(_u2809, c_Orderings_Oord__class_Omin(_u2809)), _u2810))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2809), _u2811), skolem46(_u2811, _u2810, _u2809))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_fold1__strict__below__iff ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_fold1__strict__below__iff-1, axiom, ( ~class_Orderings_Olinorder(_u2814) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2814), _u2815)) | ( _u2815 = c_Orderings_Obot__class_Obot(tc_fun(_u2814, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2814), hAPP(c_Finite__Set_Ofold1(_u2814, c_Orderings_Oord__class_Omin(_u2814)), _u2815)), _u2816)) | hBOOL(hAPP(hAPP(c_member(_u2814), skolem47(_u2816, _u2815, _u2814)), _u2815)) )).
% 20.36/20.52 cnf(fact_fold1__strict__below__iff-2, axiom, ( ~class_Orderings_Olinorder(_u2814) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2814), _u2815)) | ( _u2815 = c_Orderings_Obot__class_Obot(tc_fun(_u2814, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2814), hAPP(c_Finite__Set_Ofold1(_u2814, c_Orderings_Oord__class_Omin(_u2814)), _u2815)), _u2816)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2814), skolem47(_u2816, _u2815, _u2814)), _u2816)) )).
% 20.36/20.52 cnf(fact_fold1__strict__below__iff-3, axiom, ( ~class_Orderings_Olinorder(_u2814) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2814), _u2815)) | ( _u2815 = c_Orderings_Obot__class_Obot(tc_fun(_u2814, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2814), _u2813), _u2815)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2814), _u2813), _u2816)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2814), hAPP(c_Finite__Set_Ofold1(_u2814, c_Orderings_Oord__class_Omin(_u2814)), _u2815)), _u2816)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_strict__below__fold1__iff ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_strict__below__fold1__iff-1, axiom, ( ~class_Orderings_Olinorder(_u2819) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2819), _u2820)) | ( _u2820 = c_Orderings_Obot__class_Obot(tc_fun(_u2819, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2819), _u2821), hAPP(c_Finite__Set_Ofold1(_u2819, c_Orderings_Oord__class_Omin(_u2819)), _u2820))) | ~hBOOL(hAPP(hAPP(c_member(_u2819), _u2817), _u2820)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2819), _u2821), _u2817)) )).
% 20.36/20.52 cnf(fact_strict__below__fold1__iff-2, axiom, ( ~class_Orderings_Olinorder(_u2819) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2819), _u2820)) | ( _u2820 = c_Orderings_Obot__class_Obot(tc_fun(_u2819, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2819), _u2821), hAPP(c_Finite__Set_Ofold1(_u2819, c_Orderings_Oord__class_Omin(_u2819)), _u2820))) | hBOOL(hAPP(hAPP(c_member(_u2819), skolem48(_u2821, _u2820, _u2819)), _u2820)) )).
% 20.36/20.52 cnf(fact_strict__below__fold1__iff-3, axiom, ( ~class_Orderings_Olinorder(_u2819) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2819), _u2820)) | ( _u2820 = c_Orderings_Obot__class_Obot(tc_fun(_u2819, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2819), _u2821), hAPP(c_Finite__Set_Ofold1(_u2819, c_Orderings_Oord__class_Omin(_u2819)), _u2820))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2819), _u2821), skolem48(_u2821, _u2820, _u2819))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_card__psubset ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_card__psubset-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2822), _u2823)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2822, tc_HOL_Obool)), _u2824), _u2823)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2822), _u2824)), hAPP(c_Finite__Set_Ocard(_u2822), _u2823))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2822, tc_HOL_Obool)), _u2824), _u2823)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_fold1__eq__fold__idem ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_fold1__eq__fold__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u2825) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2825), _u2826)) | ( hAPP(c_Finite__Set_Ofold1(_u2825, c_Groups_Otimes__class_Otimes(_u2825)), hAPP(hAPP(c_Set_Oinsert(_u2825), _u2827), _u2826)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2825, _u2825, c_Groups_Otimes__class_Otimes(_u2825)), _u2827), _u2826)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Sup__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Sup__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Lattices_Olattice(_u2828) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2828), _u2829)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u2828, hAPP(hAPP(c_Set_Oinsert(_u2828), _u2830), _u2829)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2828, _u2828, c_Lattices_Osemilattice__sup__class_Osup(_u2828)), _u2830), _u2829)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Inf__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Inf__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Lattices_Olattice(_u2831) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2831), _u2832)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u2831, hAPP(hAPP(c_Set_Oinsert(_u2831), _u2833), _u2832)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2831, _u2831, c_Lattices_Osemilattice__inf__class_Oinf(_u2831)), _u2833), _u2832)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_folding__one_Oeq__fold_H ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_folding__one_Oeq__fold_H-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u2834, _u2835, _u2836) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2834), _u2837)) | hBOOL(hAPP(hAPP(c_member(_u2834), _u2838), _u2837)) | ( hAPP(_u2836, hAPP(hAPP(c_Set_Oinsert(_u2834), _u2838), _u2837)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2834, _u2834, _u2835), _u2838), _u2837)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_setprod_Oinsert__remove ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_setprod_Oinsert__remove-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u2839) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2840), _u2841)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2840, _u2839), _u2842), hAPP(hAPP(c_Set_Oinsert(_u2840), _u2843), _u2841)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2839), hAPP(_u2842, _u2843)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2840, _u2839), _u2842), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2840, tc_HOL_Obool)), _u2841), hAPP(hAPP(c_Set_Oinsert(_u2840), _u2843), c_Orderings_Obot__class_Obot(tc_fun(_u2840, tc_HOL_Obool))))))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_setprod_Ounion__disjoint ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_setprod_Ounion__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u2844) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2845), _u2846)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2845), _u2847)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2845, tc_HOL_Obool)), _u2846), _u2847) != c_Orderings_Obot__class_Obot(tc_fun(_u2845, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2845, _u2844), _u2848), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2845, tc_HOL_Obool)), _u2846), _u2847)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2844), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2845, _u2844), _u2848), _u2846)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2845, _u2844), _u2848), _u2847))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_setprod__Un__disjoint ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_setprod__Un__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u2849) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2850), _u2851)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2850), _u2852)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2850, tc_HOL_Obool)), _u2851), _u2852) != c_Orderings_Obot__class_Obot(tc_fun(_u2850, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2850, _u2849), _u2853), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2850, tc_HOL_Obool)), _u2851), _u2852)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2849), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2850, _u2849), _u2853), _u2851)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2850, _u2849), _u2853), _u2852))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_card__Un__disjoint ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_card__Un__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2854), _u2855)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2854), _u2856)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2854, tc_HOL_Obool)), _u2855), _u2856) != c_Orderings_Obot__class_Obot(tc_fun(_u2854, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ocard(_u2854), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2854, tc_HOL_Obool)), _u2855), _u2856)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2854), _u2855)), hAPP(c_Finite__Set_Ocard(_u2854), _u2856))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_card__Diff1__le ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_card__Diff1__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2857), _u2858)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2857), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2857, tc_HOL_Obool)), _u2858), hAPP(hAPP(c_Set_Oinsert(_u2857), _u2859), c_Orderings_Obot__class_Obot(tc_fun(_u2857, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u2857), _u2858))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_fun__left__comm_Ofold__rec ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_fun__left__comm_Ofold__rec-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u2860, _u2861, _u2862) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2860), _u2863)) | ~hBOOL(hAPP(hAPP(c_member(_u2860), _u2864), _u2863)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u2860, _u2861, _u2862), _u2865), _u2863) = hAPP(hAPP(_u2862, _u2864), hAPP(hAPP(c_Finite__Set_Ofold(_u2860, _u2861, _u2862), _u2865), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2860, tc_HOL_Obool)), _u2863), hAPP(hAPP(c_Set_Oinsert(_u2860), _u2864), c_Orderings_Obot__class_Obot(tc_fun(_u2860, tc_HOL_Obool))))))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__ord__min ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__ord__min-1, axiom, ( ~class_Orderings_Oord(_u2866) | ( c_Orderings_Oord__class_Omin(_u2866) = c_Orderings_Oord_Omin(_u2866, c_Orderings_Oord__class_Oless__eq(_u2866))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_fun__left__comm_Ofold__insert__remove ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_fun__left__comm_Ofold__insert__remove-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u2867, _u2868, _u2869) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2867), _u2870)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u2867, _u2868, _u2869), _u2871), hAPP(hAPP(c_Set_Oinsert(_u2867), _u2872), _u2870)) = hAPP(hAPP(_u2869, _u2872), hAPP(hAPP(c_Finite__Set_Ofold(_u2867, _u2868, _u2869), _u2871), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2867, tc_HOL_Obool)), _u2870), hAPP(hAPP(c_Set_Oinsert(_u2867), _u2872), c_Orderings_Obot__class_Obot(tc_fun(_u2867, tc_HOL_Obool))))))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_card__Diff__singleton ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_card__Diff__singleton-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2873), _u2874)) | ~hBOOL(hAPP(hAPP(c_member(_u2873), _u2875), _u2874)) | ( hAPP(c_Finite__Set_Ocard(_u2873), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2873, tc_HOL_Obool)), _u2874), hAPP(hAPP(c_Set_Oinsert(_u2873), _u2875), c_Orderings_Obot__class_Obot(tc_fun(_u2873, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2873), _u2874)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_card__Diff__singleton__if ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_card__Diff__singleton__if-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2876), _u2877)) | ~hBOOL(hAPP(hAPP(c_member(_u2876), _u2878), _u2877)) | ( hAPP(c_Finite__Set_Ocard(_u2876), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2876, tc_HOL_Obool)), _u2877), hAPP(hAPP(c_Set_Oinsert(_u2876), _u2878), c_Orderings_Obot__class_Obot(tc_fun(_u2876, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2876), _u2877)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 20.36/20.52 cnf(fact_card__Diff__singleton__if-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2876), _u2877)) | hBOOL(hAPP(hAPP(c_member(_u2876), _u2878), _u2877)) | ( hAPP(c_Finite__Set_Ocard(_u2876), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2876, tc_HOL_Obool)), _u2877), hAPP(hAPP(c_Set_Oinsert(_u2876), _u2878), c_Orderings_Obot__class_Obot(tc_fun(_u2876, tc_HOL_Obool))))) = hAPP(c_Finite__Set_Ocard(_u2876), _u2877)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_card_Oremove ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_card_Oremove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2879), _u2880)) | ~hBOOL(hAPP(hAPP(c_member(_u2879), _u2881), _u2880)) | ( hAPP(c_Finite__Set_Ocard(_u2879), _u2880) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u2879), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2879, tc_HOL_Obool)), _u2880), hAPP(hAPP(c_Set_Oinsert(_u2879), _u2881), c_Orderings_Obot__class_Obot(tc_fun(_u2879, tc_HOL_Obool))))))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Min_Oremove ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Min_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u2882) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2882), _u2883)) | ~hBOOL(hAPP(hAPP(c_member(_u2882), _u2884), _u2883)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2882, tc_HOL_Obool)), _u2883), hAPP(hAPP(c_Set_Oinsert(_u2882), _u2884), c_Orderings_Obot__class_Obot(tc_fun(_u2882, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u2882, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u2882, _u2883) = _u2884) )).
% 20.36/20.52 cnf(fact_Min_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u2882) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2882), _u2883)) | ~hBOOL(hAPP(hAPP(c_member(_u2882), _u2884), _u2883)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2882, tc_HOL_Obool)), _u2883), hAPP(hAPP(c_Set_Oinsert(_u2882), _u2884), c_Orderings_Obot__class_Obot(tc_fun(_u2882, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u2882, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u2882, _u2883) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2882), _u2884), c_Big__Operators_Olinorder__class_OMin(_u2882, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2882, tc_HOL_Obool)), _u2883), hAPP(hAPP(c_Set_Oinsert(_u2882), _u2884), c_Orderings_Obot__class_Obot(tc_fun(_u2882, tc_HOL_Obool))))))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_fold__graph_H_Oequations_I2_J ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_fold__graph_H_Oequations_I2_J-1, axiom, ( ~c_Nitpick_Ofold__graph_H(_u2896, _u2898, _u2900, _u2902, _u2904, hAPP(hAPP(_u2900, _u2906), _u2908)) | ( _u2904 = c_Orderings_Obot__class_Obot(tc_fun(_u2896, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u2896), skolem49(_u2908, _u2906, _u2904, _u2902, _u2900, _u2898, _u2896)), _u2904)) )).
% 20.36/20.52 cnf(fact_fold__graph_H_Oequations_I2_J-2, axiom, ( ~c_Nitpick_Ofold__graph_H(_u2896, _u2898, _u2900, _u2902, _u2904, hAPP(hAPP(_u2900, _u2906), _u2908)) | ( _u2904 = c_Orderings_Obot__class_Obot(tc_fun(_u2896, tc_HOL_Obool))) | ( hAPP(hAPP(_u2900, _u2906), _u2908) = hAPP(hAPP(_u2900, skolem49(_u2908, _u2906, _u2904, _u2902, _u2900, _u2898, _u2896)), skolem50(_u2908, _u2906, _u2904, _u2902, _u2900, _u2898, _u2896))) )).
% 20.36/20.52 cnf(fact_fold__graph_H_Oequations_I2_J-3, axiom, ( ~c_Nitpick_Ofold__graph_H(_u2896, _u2898, _u2900, _u2902, _u2904, hAPP(hAPP(_u2900, _u2906), _u2908)) | ( _u2904 = c_Orderings_Obot__class_Obot(tc_fun(_u2896, tc_HOL_Obool))) | c_Nitpick_Ofold__graph_H(_u2896, _u2898, _u2900, _u2902, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2896, tc_HOL_Obool)), _u2904), hAPP(hAPP(c_Set_Oinsert(_u2896), skolem49(_u2908, _u2906, _u2904, _u2902, _u2900, _u2898, _u2896)), c_Orderings_Obot__class_Obot(tc_fun(_u2896, tc_HOL_Obool)))), skolem50(_u2908, _u2906, _u2904, _u2902, _u2900, _u2898, _u2896)) )).
% 20.36/20.52 cnf(fact_fold__graph_H_Oequations_I2_J-4, axiom, ( ~c_Nitpick_Ofold__graph_H(_u2896, _u2898, _u2900, _u2902, _u2904, hAPP(hAPP(_u2900, _u2906), _u2908)) | ( hAPP(hAPP(_u2900, _u2906), _u2908) = _u2902) | hBOOL(hAPP(hAPP(c_member(_u2896), skolem49(_u2908, _u2906, _u2904, _u2902, _u2900, _u2898, _u2896)), _u2904)) )).
% 20.36/20.52 cnf(fact_fold__graph_H_Oequations_I2_J-5, axiom, ( ~c_Nitpick_Ofold__graph_H(_u2896, _u2898, _u2900, _u2902, _u2904, hAPP(hAPP(_u2900, _u2906), _u2908)) | ( hAPP(hAPP(_u2900, _u2906), _u2908) = _u2902) | ( hAPP(hAPP(_u2900, _u2906), _u2908) = hAPP(hAPP(_u2900, skolem49(_u2908, _u2906, _u2904, _u2902, _u2900, _u2898, _u2896)), skolem50(_u2908, _u2906, _u2904, _u2902, _u2900, _u2898, _u2896))) )).
% 20.36/20.52 cnf(fact_fold__graph_H_Oequations_I2_J-6, axiom, ( ~c_Nitpick_Ofold__graph_H(_u2896, _u2898, _u2900, _u2902, _u2904, hAPP(hAPP(_u2900, _u2906), _u2908)) | ( hAPP(hAPP(_u2900, _u2906), _u2908) = _u2902) | c_Nitpick_Ofold__graph_H(_u2896, _u2898, _u2900, _u2902, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2896, tc_HOL_Obool)), _u2904), hAPP(hAPP(c_Set_Oinsert(_u2896), skolem49(_u2908, _u2906, _u2904, _u2902, _u2900, _u2898, _u2896)), c_Orderings_Obot__class_Obot(tc_fun(_u2896, tc_HOL_Obool)))), skolem50(_u2908, _u2906, _u2904, _u2902, _u2900, _u2898, _u2896)) )).
% 20.36/20.52 cnf(fact_fold__graph_H_Oequations_I2_J-7, axiom, ( c_Nitpick_Ofold__graph_H(_u2897, _u2899, _u2901, _u2903, _u2905, hAPP(hAPP(_u2901, _u2907), _u2909)) | ( _u2905 != c_Orderings_Obot__class_Obot(tc_fun(_u2897, tc_HOL_Obool))) | ( hAPP(hAPP(_u2901, _u2907), _u2909) != _u2903) )).
% 20.36/20.52 cnf(fact_fold__graph_H_Oequations_I2_J-8, axiom, ( c_Nitpick_Ofold__graph_H(_u2897, _u2899, _u2901, _u2903, _u2905, hAPP(hAPP(_u2901, _u2907), _u2909)) | ~hBOOL(hAPP(hAPP(c_member(_u2897), _u2888), _u2905)) | ( hAPP(hAPP(_u2901, _u2907), _u2909) != hAPP(hAPP(_u2901, _u2888), _u2887)) | ~c_Nitpick_Ofold__graph_H(_u2897, _u2899, _u2901, _u2903, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2897, tc_HOL_Obool)), _u2905), hAPP(hAPP(c_Set_Oinsert(_u2897), _u2888), c_Orderings_Obot__class_Obot(tc_fun(_u2897, tc_HOL_Obool)))), _u2887) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__max_OInf__fin_Oremove ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__max_OInf__fin_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u2910) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2910), _u2911)) | ~hBOOL(hAPP(hAPP(c_member(_u2910), _u2912), _u2911)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2910, tc_HOL_Obool)), _u2911), hAPP(hAPP(c_Set_Oinsert(_u2910), _u2912), c_Orderings_Obot__class_Obot(tc_fun(_u2910, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u2910, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u2910, c_Orderings_Oord__class_Omin(_u2910), _u2911) = _u2912) )).
% 20.36/20.52 cnf(fact_min__max_OInf__fin_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u2910) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2910), _u2911)) | ~hBOOL(hAPP(hAPP(c_member(_u2910), _u2912), _u2911)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2910, tc_HOL_Obool)), _u2911), hAPP(hAPP(c_Set_Oinsert(_u2910), _u2912), c_Orderings_Obot__class_Obot(tc_fun(_u2910, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u2910, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u2910, c_Orderings_Oord__class_Omin(_u2910), _u2911) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2910), _u2912), c_Big__Operators_Olattice_OInf__fin(_u2910, c_Orderings_Oord__class_Omin(_u2910), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2910, tc_HOL_Obool)), _u2911), hAPP(hAPP(c_Set_Oinsert(_u2910), _u2912), c_Orderings_Obot__class_Obot(tc_fun(_u2910, tc_HOL_Obool))))))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_inf__nat__def ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_inf__nat__def-1, axiom, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_one__reorient ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_one__reorient-1, axiom, ( ~class_Groups_Oone(_u2913) | ( c_Groups_Oone__class_Oone(_u2913) != _u2914) | ( _u2914 = c_Groups_Oone__class_Oone(_u2913)) )).
% 20.36/20.52 cnf(fact_one__reorient-2, axiom, ( ~class_Groups_Oone(_u2913) | ( _u2914 != c_Groups_Oone__class_Oone(_u2913)) | ( c_Groups_Oone__class_Oone(_u2913) = _u2914) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_fun__left__comm_Ofun__left__comm ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_fun__left__comm_Ofun__left__comm-1, axiom, ( ( hAPP(hAPP(_u2917, _u2918), hAPP(hAPP(_u2917, _u2919), _u2920)) = hAPP(hAPP(_u2917, _u2919), hAPP(hAPP(_u2917, _u2918), _u2920))) | ~c_Finite__Set_Ofun__left__comm(_u2915, _u2916, _u2917) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2921) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2921), _u2922), c_Groups_Oone__class_Oone(_u2921)) = _u2922) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2923) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2923), c_Groups_Oone__class_Oone(_u2923)), _u2924) = _u2924) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_mult__1__left ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_mult__1__left-1, axiom, ( ~class_Groups_Omonoid__mult(_u2925) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2925), c_Groups_Oone__class_Oone(_u2925)), _u2926) = _u2926) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_mult__1 ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_mult__1-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u2927) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2927), c_Groups_Oone__class_Oone(_u2927)), _u2928) = _u2928) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_mult__1__right ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_mult__1__right-1, axiom, ( ~class_Groups_Omonoid__mult(_u2929) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2929), _u2930), c_Groups_Oone__class_Oone(_u2929)) = _u2930) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_mult_Ocomm__neutral ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_mult_Ocomm__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u2931) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2931), _u2932), c_Groups_Oone__class_Oone(_u2931)) = _u2932) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_setprod__eq__1__iff ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_setprod__eq__1__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2935), _u2936)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2935, tc_Nat_Onat), _u2937), _u2936) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u2935), _u2933), _u2936)) | ( hAPP(_u2937, _u2933) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 20.36/20.52 cnf(fact_setprod__eq__1__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2935), _u2936)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2935, tc_Nat_Onat), _u2937), _u2936) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u2935), skolem51(_u2937, _u2936, _u2935)), _u2936)) )).
% 20.36/20.52 cnf(fact_setprod__eq__1__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2935), _u2936)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2935, tc_Nat_Onat), _u2937), _u2936) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u2937, skolem51(_u2937, _u2936, _u2935)) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_nat__mult__eq__1__iff ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_nat__mult__eq__1__iff-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2940), _u2942) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2940 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 20.36/20.52 cnf(fact_nat__mult__eq__1__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2940), _u2942) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2942 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 20.36/20.52 cnf(fact_nat__mult__eq__1__iff-3, axiom, ( ( _u2941 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2943 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2941), _u2943) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_nat__mult__1__right ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_nat__mult__1__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2944), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u2944) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_nat__1__eq__mult__iff ( axiom ) converted to clauses:
% 20.36/20.52 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), _u2947), _u2949)) | ( _u2947 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 20.36/20.52 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), _u2947), _u2949)) | ( _u2949 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 20.36/20.52 cnf(fact_nat__1__eq__mult__iff-3, axiom, ( ( _u2948 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2950 != 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), _u2948), _u2950)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_nat__mult__1 ( axiom ) converted to clauses:
% 20.36/20.52 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)), _u2951) = _u2951) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_fun__left__comm ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_fun__left__comm-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u2952) | c_Finite__Set_Ofun__left__comm(_u2952, _u2952, c_Groups_Otimes__class_Otimes(_u2952)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_less__add__one ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_less__add__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2953) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2953), _u2954), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2953), _u2954), c_Groups_Oone__class_Oone(_u2953)))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_less__1__mult ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_less__1__mult-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2955) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2955), c_Groups_Oone__class_Oone(_u2955)), _u2956)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2955), c_Groups_Oone__class_Oone(_u2955)), _u2957)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2955), c_Groups_Oone__class_Oone(_u2955)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2955), _u2956), _u2957))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2958) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2958), _u2959), _u2959) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2958), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2958), c_Groups_Oone__class_Oone(_u2958)), c_Groups_Oone__class_Oone(_u2958))), _u2959)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2960) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2960), _u2961), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2960), _u2962), _u2961)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2960), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2960), _u2962), c_Groups_Oone__class_Oone(_u2960))), _u2961)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2963) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2963), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2963), _u2964), _u2965)), _u2965) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2963), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2963), _u2964), c_Groups_Oone__class_Oone(_u2963))), _u2965)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_fun__left__comm_Ofold__graph__determ ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_fun__left__comm_Ofold__graph__determ-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u2966, _u2967, _u2968) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2966, _u2967, _u2968, _u2969, _u2970), _u2971)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2966, _u2967, _u2968, _u2969, _u2970), _u2972)) | ( _u2972 = _u2971) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_setprod_Oempty ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_setprod_Oempty-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u2973) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2974, _u2973), _u2975), c_Orderings_Obot__class_Obot(tc_fun(_u2974, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u2973)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_setprod__empty ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_setprod__empty-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u2976) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2977, _u2976), _u2978), c_Orderings_Obot__class_Obot(tc_fun(_u2977, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u2976)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_setprod__infinite ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_setprod__infinite-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u2979) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2980), _u2981)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2980, _u2979), _u2982), _u2981) = c_Groups_Oone__class_Oone(_u2979)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_setprod_Oinfinite ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_setprod_Oinfinite-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u2983) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2984), _u2985)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2984, _u2983), _u2986), _u2985) = c_Groups_Oone__class_Oone(_u2983)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Min_Osingleton ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Min_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u2987) | ( c_Big__Operators_Olinorder__class_OMin(_u2987, hAPP(hAPP(c_Set_Oinsert(_u2987), _u2988), c_Orderings_Obot__class_Obot(tc_fun(_u2987, tc_HOL_Obool)))) = _u2988) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__max_OInf__fin_Oin__idem ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__max_OInf__fin_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u2989) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2989), _u2990)) | ~hBOOL(hAPP(hAPP(c_member(_u2989), _u2991), _u2990)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2989), _u2991), c_Big__Operators_Olattice_OInf__fin(_u2989, c_Orderings_Oord__class_Omin(_u2989), _u2990)) = c_Big__Operators_Olattice_OInf__fin(_u2989, c_Orderings_Oord__class_Omin(_u2989), _u2990)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_fun__left__comm_Ofold__fun__comm ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_fun__left__comm_Ofold__fun__comm-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u2992, _u2993, _u2994) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2992), _u2995)) | ( hAPP(hAPP(_u2994, _u2996), hAPP(hAPP(c_Finite__Set_Ofold(_u2992, _u2993, _u2994), _u2997), _u2995)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2992, _u2993, _u2994), hAPP(hAPP(_u2994, _u2996), _u2997)), _u2995)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__max_OInf__fin_Osingleton ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__max_OInf__fin_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u2998) | ( c_Big__Operators_Olattice_OInf__fin(_u2998, c_Orderings_Oord__class_Omin(_u2998), hAPP(hAPP(c_Set_Oinsert(_u2998), _u2999), c_Orderings_Obot__class_Obot(tc_fun(_u2998, tc_HOL_Obool)))) = _u2999) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Min__le ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Min__le-1, axiom, ( ~class_Orderings_Olinorder(_u3000) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3000), _u3001)) | ~hBOOL(hAPP(hAPP(c_member(_u3000), _u3002), _u3001)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3000), c_Big__Operators_Olinorder__class_OMin(_u3000, _u3001)), _u3002)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Min__in ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Min__in-1, axiom, ( ~class_Orderings_Olinorder(_u3003) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3003), _u3004)) | ( _u3004 = c_Orderings_Obot__class_Obot(tc_fun(_u3003, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u3003), c_Big__Operators_Olinorder__class_OMin(_u3003, _u3004)), _u3004)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Min_Oin__idem ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Min_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u3005) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3005), _u3006)) | ~hBOOL(hAPP(hAPP(c_member(_u3005), _u3007), _u3006)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u3005), _u3007), c_Big__Operators_Olinorder__class_OMin(_u3005, _u3006)) = c_Big__Operators_Olinorder__class_OMin(_u3005, _u3006)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__max_OInf__fin_OF__eq ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__max_OInf__fin_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u3008) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3008), _u3009)) | ( c_Big__Operators_Olattice_OInf__fin(_u3008, c_Orderings_Oord__class_Omin(_u3008), _u3009) = hAPP(c_Finite__Set_Ofold1(_u3008, c_Orderings_Oord__class_Omin(_u3008)), _u3009)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_fun__left__comm_Ofold__equality ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_fun__left__comm_Ofold__equality-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u3010, _u3011, _u3012) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u3010, _u3011, _u3012, _u3013, _u3014), _u3015)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u3010, _u3011, _u3012), _u3013), _u3014) = _u3015) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Min_OF__eq ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Min_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u3016) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3016), _u3017)) | ( c_Big__Operators_Olinorder__class_OMin(_u3016, _u3017) = hAPP(c_Finite__Set_Ofold1(_u3016, c_Orderings_Oord__class_Omin(_u3016)), _u3017)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__max_OInf__fin_Oinsert__idem ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__max_OInf__fin_Oinsert__idem-1, axiom, ( ~class_Orderings_Olinorder(_u3018) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3018), _u3019)) | ( _u3019 = c_Orderings_Obot__class_Obot(tc_fun(_u3018, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u3018, c_Orderings_Oord__class_Omin(_u3018), hAPP(hAPP(c_Set_Oinsert(_u3018), _u3020), _u3019)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u3018), _u3020), c_Big__Operators_Olattice_OInf__fin(_u3018, c_Orderings_Oord__class_Omin(_u3018), _u3019))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__max_OInf__fin_Osubset__idem ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__max_OInf__fin_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u3021) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3021), _u3022)) | ( _u3023 = c_Orderings_Obot__class_Obot(tc_fun(_u3021, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3021, tc_HOL_Obool)), _u3023), _u3022)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u3021), c_Big__Operators_Olattice_OInf__fin(_u3021, c_Orderings_Oord__class_Omin(_u3021), _u3023)), c_Big__Operators_Olattice_OInf__fin(_u3021, c_Orderings_Oord__class_Omin(_u3021), _u3022)) = c_Big__Operators_Olattice_OInf__fin(_u3021, c_Orderings_Oord__class_Omin(_u3021), _u3022)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__max_OInf__fin_Ounion__idem ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__max_OInf__fin_Ounion__idem-1, axiom, ( ~class_Orderings_Olinorder(_u3024) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3024), _u3025)) | ( _u3025 = c_Orderings_Obot__class_Obot(tc_fun(_u3024, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3024), _u3026)) | ( _u3026 = c_Orderings_Obot__class_Obot(tc_fun(_u3024, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u3024, c_Orderings_Oord__class_Omin(_u3024), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3024, tc_HOL_Obool)), _u3025), _u3026)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u3024), c_Big__Operators_Olattice_OInf__fin(_u3024, c_Orderings_Oord__class_Omin(_u3024), _u3025)), c_Big__Operators_Olattice_OInf__fin(_u3024, c_Orderings_Oord__class_Omin(_u3024), _u3026))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Min__antimono ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Min__antimono-1, axiom, ( ~class_Orderings_Olinorder(_u3027) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3027, tc_HOL_Obool)), _u3028), _u3029)) | ( _u3028 = c_Orderings_Obot__class_Obot(tc_fun(_u3027, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3027), _u3029)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3027), c_Big__Operators_Olinorder__class_OMin(_u3027, _u3029)), c_Big__Operators_Olinorder__class_OMin(_u3027, _u3028))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__max_OInf__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__max_OInf__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u3030) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3030), _u3031)) | ( c_Big__Operators_Olattice_OInf__fin(_u3030, c_Orderings_Oord__class_Omin(_u3030), hAPP(hAPP(c_Set_Oinsert(_u3030), _u3032), _u3031)) = hAPP(hAPP(c_Finite__Set_Ofold(_u3030, _u3030, c_Orderings_Oord__class_Omin(_u3030)), _u3032), _u3031)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Min__insert ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Min__insert-1, axiom, ( ~class_Orderings_Olinorder(_u3033) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3033), _u3034)) | ( _u3034 = c_Orderings_Obot__class_Obot(tc_fun(_u3033, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u3033, hAPP(hAPP(c_Set_Oinsert(_u3033), _u3035), _u3034)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u3033), _u3035), c_Big__Operators_Olinorder__class_OMin(_u3033, _u3034))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Min_Osubset__idem ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Min_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u3036) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3036), _u3037)) | ( _u3038 = c_Orderings_Obot__class_Obot(tc_fun(_u3036, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3036, tc_HOL_Obool)), _u3038), _u3037)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u3036), c_Big__Operators_Olinorder__class_OMin(_u3036, _u3038)), c_Big__Operators_Olinorder__class_OMin(_u3036, _u3037)) = c_Big__Operators_Olinorder__class_OMin(_u3036, _u3037)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Min__Un ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Min__Un-1, axiom, ( ~class_Orderings_Olinorder(_u3039) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3039), _u3040)) | ( _u3040 = c_Orderings_Obot__class_Obot(tc_fun(_u3039, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3039), _u3041)) | ( _u3041 = c_Orderings_Obot__class_Obot(tc_fun(_u3039, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u3039, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3039, tc_HOL_Obool)), _u3040), _u3041)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u3039), c_Big__Operators_Olinorder__class_OMin(_u3039, _u3040)), c_Big__Operators_Olinorder__class_OMin(_u3039, _u3041))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Min_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Min_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u3042) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3042), _u3043)) | ( c_Big__Operators_Olinorder__class_OMin(_u3042, hAPP(hAPP(c_Set_Oinsert(_u3042), _u3044), _u3043)) = hAPP(hAPP(c_Finite__Set_Ofold(_u3042, _u3042, c_Orderings_Oord__class_Omin(_u3042)), _u3044), _u3043)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_fun__left__comm_Ofold__graph__fold ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_fun__left__comm_Ofold__graph__fold-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u3045, _u3046, _u3047) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3045), _u3048)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u3045, _u3046, _u3047, _u3049, _u3048), hAPP(hAPP(c_Finite__Set_Ofold(_u3045, _u3046, _u3047), _u3049), _u3048))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_card_Oinsert ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_card_Oinsert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3050), _u3051)) | hBOOL(hAPP(hAPP(c_member(_u3050), _u3052), _u3051)) | ( hAPP(c_Finite__Set_Ocard(_u3050), hAPP(hAPP(c_Set_Oinsert(_u3050), _u3052), _u3051)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u3050), _u3051))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__max_OInf__fin_Oinsert ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__max_OInf__fin_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u3053) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3053), _u3054)) | hBOOL(hAPP(hAPP(c_member(_u3053), _u3055), _u3054)) | ( _u3054 = c_Orderings_Obot__class_Obot(tc_fun(_u3053, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u3053, c_Orderings_Oord__class_Omin(_u3053), hAPP(hAPP(c_Set_Oinsert(_u3053), _u3055), _u3054)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u3053), _u3055), c_Big__Operators_Olattice_OInf__fin(_u3053, c_Orderings_Oord__class_Omin(_u3053), _u3054))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__max_OInf__fin_Oinsert__remove ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__max_OInf__fin_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u3056) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3056), _u3057)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3056, tc_HOL_Obool)), _u3057), hAPP(hAPP(c_Set_Oinsert(_u3056), _u3058), c_Orderings_Obot__class_Obot(tc_fun(_u3056, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u3056, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u3056, c_Orderings_Oord__class_Omin(_u3056), hAPP(hAPP(c_Set_Oinsert(_u3056), _u3058), _u3057)) = _u3058) )).
% 20.36/20.52 cnf(fact_min__max_OInf__fin_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u3056) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3056), _u3057)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3056, tc_HOL_Obool)), _u3057), hAPP(hAPP(c_Set_Oinsert(_u3056), _u3058), c_Orderings_Obot__class_Obot(tc_fun(_u3056, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u3056, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u3056, c_Orderings_Oord__class_Omin(_u3056), hAPP(hAPP(c_Set_Oinsert(_u3056), _u3058), _u3057)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u3056), _u3058), c_Big__Operators_Olattice_OInf__fin(_u3056, c_Orderings_Oord__class_Omin(_u3056), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3056, tc_HOL_Obool)), _u3057), hAPP(hAPP(c_Set_Oinsert(_u3056), _u3058), c_Orderings_Obot__class_Obot(tc_fun(_u3056, tc_HOL_Obool))))))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__max_OInf__fin_Ounion__inter ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__max_OInf__fin_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u3059) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3059), _u3060)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3059), _u3061)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3059, tc_HOL_Obool)), _u3060), _u3061) = c_Orderings_Obot__class_Obot(tc_fun(_u3059, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u3059), c_Big__Operators_Olattice_OInf__fin(_u3059, c_Orderings_Oord__class_Omin(_u3059), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3059, tc_HOL_Obool)), _u3060), _u3061))), c_Big__Operators_Olattice_OInf__fin(_u3059, c_Orderings_Oord__class_Omin(_u3059), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3059, tc_HOL_Obool)), _u3060), _u3061))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u3059), c_Big__Operators_Olattice_OInf__fin(_u3059, c_Orderings_Oord__class_Omin(_u3059), _u3060)), c_Big__Operators_Olattice_OInf__fin(_u3059, c_Orderings_Oord__class_Omin(_u3059), _u3061))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__max_OInf__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__max_OInf__fin_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u3062) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3062), _u3063)) | ( _u3063 = c_Orderings_Obot__class_Obot(tc_fun(_u3062, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3062), _u3064)) | ( _u3064 = c_Orderings_Obot__class_Obot(tc_fun(_u3062, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3062, tc_HOL_Obool)), _u3063), _u3064) != c_Orderings_Obot__class_Obot(tc_fun(_u3062, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u3062, c_Orderings_Oord__class_Omin(_u3062), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3062, tc_HOL_Obool)), _u3063), _u3064)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u3062), c_Big__Operators_Olattice_OInf__fin(_u3062, c_Orderings_Oord__class_Omin(_u3062), _u3063)), c_Big__Operators_Olattice_OInf__fin(_u3062, c_Orderings_Oord__class_Omin(_u3062), _u3064))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__max_OInf__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__max_OInf__fin_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u3065) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3065), _u3066)) | hBOOL(hAPP(hAPP(c_member(_u3065), _u3067), _u3066)) | ( c_Big__Operators_Olattice_OInf__fin(_u3065, c_Orderings_Oord__class_Omin(_u3065), hAPP(hAPP(c_Set_Oinsert(_u3065), _u3067), _u3066)) = hAPP(hAPP(c_Finite__Set_Ofold(_u3065, _u3065, c_Orderings_Oord__class_Omin(_u3065)), _u3067), _u3066)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Min_Oinsert ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Min_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u3068) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3068), _u3069)) | hBOOL(hAPP(hAPP(c_member(_u3068), _u3070), _u3069)) | ( _u3069 = c_Orderings_Obot__class_Obot(tc_fun(_u3068, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u3068, hAPP(hAPP(c_Set_Oinsert(_u3068), _u3070), _u3069)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u3068), _u3070), c_Big__Operators_Olinorder__class_OMin(_u3068, _u3069))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Min_Oinsert__remove ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Min_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u3071) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3071), _u3072)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3071, tc_HOL_Obool)), _u3072), hAPP(hAPP(c_Set_Oinsert(_u3071), _u3073), c_Orderings_Obot__class_Obot(tc_fun(_u3071, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u3071, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u3071, hAPP(hAPP(c_Set_Oinsert(_u3071), _u3073), _u3072)) = _u3073) )).
% 20.36/20.52 cnf(fact_Min_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u3071) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3071), _u3072)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3071, tc_HOL_Obool)), _u3072), hAPP(hAPP(c_Set_Oinsert(_u3071), _u3073), c_Orderings_Obot__class_Obot(tc_fun(_u3071, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u3071, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u3071, hAPP(hAPP(c_Set_Oinsert(_u3071), _u3073), _u3072)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u3071), _u3073), c_Big__Operators_Olinorder__class_OMin(_u3071, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3071, tc_HOL_Obool)), _u3072), hAPP(hAPP(c_Set_Oinsert(_u3071), _u3073), c_Orderings_Obot__class_Obot(tc_fun(_u3071, tc_HOL_Obool))))))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Min_Ounion__inter ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Min_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u3074) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3074), _u3075)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3074), _u3076)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3074, tc_HOL_Obool)), _u3075), _u3076) = c_Orderings_Obot__class_Obot(tc_fun(_u3074, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u3074), c_Big__Operators_Olinorder__class_OMin(_u3074, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3074, tc_HOL_Obool)), _u3075), _u3076))), c_Big__Operators_Olinorder__class_OMin(_u3074, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3074, tc_HOL_Obool)), _u3075), _u3076))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u3074), c_Big__Operators_Olinorder__class_OMin(_u3074, _u3075)), c_Big__Operators_Olinorder__class_OMin(_u3074, _u3076))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Min_Ounion__disjoint ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Min_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u3077) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3077), _u3078)) | ( _u3078 = c_Orderings_Obot__class_Obot(tc_fun(_u3077, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3077), _u3079)) | ( _u3079 = c_Orderings_Obot__class_Obot(tc_fun(_u3077, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3077, tc_HOL_Obool)), _u3078), _u3079) != c_Orderings_Obot__class_Obot(tc_fun(_u3077, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u3077, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3077, tc_HOL_Obool)), _u3078), _u3079)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u3077), c_Big__Operators_Olinorder__class_OMin(_u3077, _u3078)), c_Big__Operators_Olinorder__class_OMin(_u3077, _u3079))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Min_Oeq__fold_H ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Min_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u3080) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3080), _u3081)) | hBOOL(hAPP(hAPP(c_member(_u3080), _u3082), _u3081)) | ( c_Big__Operators_Olinorder__class_OMin(_u3080, hAPP(hAPP(c_Set_Oinsert(_u3080), _u3082), _u3081)) = hAPP(hAPP(c_Finite__Set_Ofold(_u3080, _u3080, c_Orderings_Oord__class_Omin(_u3080)), _u3082), _u3081)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_card__Diff__insert ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_card__Diff__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3083), _u3084)) | ~hBOOL(hAPP(hAPP(c_member(_u3083), _u3085), _u3084)) | hBOOL(hAPP(hAPP(c_member(_u3083), _u3085), _u3086)) | ( hAPP(c_Finite__Set_Ocard(_u3083), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3083, tc_HOL_Obool)), _u3084), hAPP(hAPP(c_Set_Oinsert(_u3083), _u3085), _u3086))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3083), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3083, tc_HOL_Obool)), _u3084), _u3086))), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_card_Oinsert__remove ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_card_Oinsert__remove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3087), _u3088)) | ( hAPP(c_Finite__Set_Ocard(_u3087), hAPP(hAPP(c_Set_Oinsert(_u3087), _u3089), _u3088)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u3087), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3087, tc_HOL_Obool)), _u3088), hAPP(hAPP(c_Set_Oinsert(_u3087), _u3089), c_Orderings_Obot__class_Obot(tc_fun(_u3087, tc_HOL_Obool))))))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_fun__left__comm_Ofold__insert ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_fun__left__comm_Ofold__insert-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u3090, _u3091, _u3092) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3090), _u3093)) | hBOOL(hAPP(hAPP(c_member(_u3090), _u3094), _u3093)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u3090, _u3091, _u3092), _u3095), hAPP(hAPP(c_Set_Oinsert(_u3090), _u3094), _u3093)) = hAPP(hAPP(_u3092, _u3094), hAPP(hAPP(c_Finite__Set_Ofold(_u3090, _u3091, _u3092), _u3095), _u3093))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_fun__left__comm_Ofold__insert2 ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_fun__left__comm_Ofold__insert2-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u3096, _u3097, _u3098) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3096), _u3099)) | hBOOL(hAPP(hAPP(c_member(_u3096), _u3100), _u3099)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u3096, _u3097, _u3098), _u3101), hAPP(hAPP(c_Set_Oinsert(_u3096), _u3100), _u3099)) = hAPP(hAPP(c_Finite__Set_Ofold(_u3096, _u3097, _u3098), hAPP(hAPP(_u3098, _u3100), _u3101)), _u3099)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_fun__left__comm_Ofold__graph__insertE__aux ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_fun__left__comm_Ofold__graph__insertE__aux-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u3103, _u3104, _u3105) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u3103, _u3104, _u3105, _u3106, _u3107), _u3108)) | ~hBOOL(hAPP(hAPP(c_member(_u3103), _u3109), _u3107)) | ( _u3108 = hAPP(hAPP(_u3105, _u3109), skolem52(_u3109, _u3108, _u3107, _u3106, _u3105, _u3104, _u3103))) )).
% 20.36/20.52 cnf(fact_fun__left__comm_Ofold__graph__insertE__aux-2, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u3103, _u3104, _u3105) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u3103, _u3104, _u3105, _u3106, _u3107), _u3108)) | ~hBOOL(hAPP(hAPP(c_member(_u3103), _u3109), _u3107)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u3103, _u3104, _u3105, _u3106, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3103, tc_HOL_Obool)), _u3107), hAPP(hAPP(c_Set_Oinsert(_u3103), _u3109), c_Orderings_Obot__class_Obot(tc_fun(_u3103, tc_HOL_Obool))))), skolem52(_u3109, _u3108, _u3107, _u3106, _u3105, _u3104, _u3103))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__max_OInf__fin_Oclosed ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__max_OInf__fin_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u3112) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3112), _u3113)) | ( _u3113 = c_Orderings_Obot__class_Obot(tc_fun(_u3112, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u3112), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u3112), skolem53(_u3113, _u3112)), skolem54(_u3113, _u3112))), hAPP(hAPP(c_Set_Oinsert(_u3112), skolem53(_u3113, _u3112)), hAPP(hAPP(c_Set_Oinsert(_u3112), skolem54(_u3113, _u3112)), c_Orderings_Obot__class_Obot(tc_fun(_u3112, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u3112), c_Big__Operators_Olattice_OInf__fin(_u3112, c_Orderings_Oord__class_Omin(_u3112), _u3113)), _u3113)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Min_Oclosed ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Min_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u3116) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3116), _u3117)) | ( _u3117 = c_Orderings_Obot__class_Obot(tc_fun(_u3116, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u3116), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u3116), skolem55(_u3117, _u3116)), skolem56(_u3117, _u3116))), hAPP(hAPP(c_Set_Oinsert(_u3116), skolem55(_u3117, _u3116)), hAPP(hAPP(c_Set_Oinsert(_u3116), skolem56(_u3117, _u3116)), c_Orderings_Obot__class_Obot(tc_fun(_u3116, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u3116), c_Big__Operators_Olinorder__class_OMin(_u3116, _u3117)), _u3117)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_setprod_Ounion__inter__neutral ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_setprod_Ounion__inter__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3119) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3120), _u3121)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3120), _u3122)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3120, _u3119), _u3123), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3120, tc_HOL_Obool)), _u3121), _u3122)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3119), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3120, _u3119), _u3123), _u3121)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3120, _u3119), _u3123), _u3122))) | hBOOL(hAPP(hAPP(c_member(_u3120), skolem57(_u3123, _u3122, _u3121, _u3120, _u3119)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3120, tc_HOL_Obool)), _u3121), _u3122))) )).
% 20.36/20.52 cnf(fact_setprod_Ounion__inter__neutral-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3119) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3120), _u3121)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3120), _u3122)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3120, _u3119), _u3123), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3120, tc_HOL_Obool)), _u3121), _u3122)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3119), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3120, _u3119), _u3123), _u3121)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3120, _u3119), _u3123), _u3122))) | ( hAPP(_u3123, skolem57(_u3123, _u3122, _u3121, _u3120, _u3119)) != c_Groups_Oone__class_Oone(_u3119)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_setprod__Un__one ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_setprod__Un__one-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3125) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3126), _u3127)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3126), _u3128)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3126, _u3125), _u3129), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3126, tc_HOL_Obool)), _u3127), _u3128)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3125), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3126, _u3125), _u3129), _u3127)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3126, _u3125), _u3129), _u3128))) | hBOOL(hAPP(hAPP(c_member(_u3126), skolem58(_u3129, _u3128, _u3127, _u3126, _u3125)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3126, tc_HOL_Obool)), _u3127), _u3128))) )).
% 20.36/20.52 cnf(fact_setprod__Un__one-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3125) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3126), _u3127)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3126), _u3128)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3126, _u3125), _u3129), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3126, tc_HOL_Obool)), _u3127), _u3128)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3125), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3126, _u3125), _u3129), _u3127)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3126, _u3125), _u3129), _u3128))) | ( hAPP(_u3129, skolem58(_u3129, _u3128, _u3127, _u3126, _u3125)) != c_Groups_Oone__class_Oone(_u3125)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_fold__Un__disjoint ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_fold__Un__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3130) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3131), _u3132)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3131), _u3133)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3131, tc_HOL_Obool)), _u3132), _u3133) != c_Orderings_Obot__class_Obot(tc_fun(_u3131, tc_HOL_Obool))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3130, _u3131, c_Groups_Otimes__class_Otimes(_u3130)), _u3134), c_Groups_Oone__class_Oone(_u3130)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3131, tc_HOL_Obool)), _u3132), _u3133)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3130), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3130, _u3131, c_Groups_Otimes__class_Otimes(_u3130)), _u3134), c_Groups_Oone__class_Oone(_u3130)), _u3132)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3130, _u3131, c_Groups_Otimes__class_Otimes(_u3130)), _u3134), c_Groups_Oone__class_Oone(_u3130)), _u3133))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_setprod__mono__one__right ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_setprod__mono__one__right-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3136) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3137), _u3138)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3137, tc_HOL_Obool)), _u3139), _u3138)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3137, _u3136), _u3140), _u3138) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3137, _u3136), _u3140), _u3139)) | hBOOL(hAPP(hAPP(c_member(_u3137), skolem59(_u3140, _u3139, _u3138, _u3137, _u3136)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3137, tc_HOL_Obool)), _u3138), _u3139))) )).
% 20.36/20.52 cnf(fact_setprod__mono__one__right-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3136) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3137), _u3138)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3137, tc_HOL_Obool)), _u3139), _u3138)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3137, _u3136), _u3140), _u3138) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3137, _u3136), _u3140), _u3139)) | ( hAPP(_u3140, skolem59(_u3140, _u3139, _u3138, _u3137, _u3136)) != c_Groups_Oone__class_Oone(_u3136)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_setprod__mono__one__left ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_setprod__mono__one__left-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3142) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3143), _u3144)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3143, tc_HOL_Obool)), _u3145), _u3144)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3143, _u3142), _u3146), _u3145) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3143, _u3142), _u3146), _u3144)) | hBOOL(hAPP(hAPP(c_member(_u3143), skolem60(_u3146, _u3145, _u3144, _u3143, _u3142)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3143, tc_HOL_Obool)), _u3144), _u3145))) )).
% 20.36/20.52 cnf(fact_setprod__mono__one__left-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3142) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3143), _u3144)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3143, tc_HOL_Obool)), _u3145), _u3144)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3143, _u3142), _u3146), _u3145) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3143, _u3142), _u3146), _u3144)) | ( hAPP(_u3146, skolem60(_u3146, _u3145, _u3144, _u3143, _u3142)) != c_Groups_Oone__class_Oone(_u3142)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_card__Suc__Diff1 ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_card__Suc__Diff1-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3147), _u3148)) | ~hBOOL(hAPP(hAPP(c_member(_u3147), _u3149), _u3148)) | ( hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u3147), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3147, tc_HOL_Obool)), _u3148), hAPP(hAPP(c_Set_Oinsert(_u3147), _u3149), c_Orderings_Obot__class_Obot(tc_fun(_u3147, tc_HOL_Obool)))))) = hAPP(c_Finite__Set_Ocard(_u3147), _u3148)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Suc__mono ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Suc__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3150), _u3151)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3150)), hAPP(c_Nat_OSuc, _u3151))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_lessI ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_lessI-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3152), hAPP(c_Nat_OSuc, _u3152))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Suc__inject ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Suc__inject-1, axiom, ( ( hAPP(c_Nat_OSuc, _u3153) != hAPP(c_Nat_OSuc, _u3154)) | ( _u3153 = _u3154) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_nat_Oinject ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_nat_Oinject-1, axiom, ( ( hAPP(c_Nat_OSuc, _u3157) != hAPP(c_Nat_OSuc, _u3159)) | ( _u3157 = _u3159) )).
% 20.36/20.52 cnf(fact_nat_Oinject-2, axiom, ( ( _u3158 != _u3160) | ( hAPP(c_Nat_OSuc, _u3158) = hAPP(c_Nat_OSuc, _u3160)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Suc__n__not__n ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Suc__n__not__n-1, axiom, ( ( hAPP(c_Nat_OSuc, _u3161) != _u3161) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_n__not__Suc__n ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_n__not__Suc__n-1, axiom, ( ( _u3162 != hAPP(c_Nat_OSuc, _u3162)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Suc__less__SucD ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Suc__less__SucD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3163)), hAPP(c_Nat_OSuc, _u3164))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3163), _u3164)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Suc__lessD ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Suc__lessD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3165)), _u3166)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3165), _u3166)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_less__SucE ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_less__SucE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3167), hAPP(c_Nat_OSuc, _u3168))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3167), _u3168)) | ( _u3167 = _u3168) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_less__trans__Suc ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_less__trans__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3169), _u3170)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3170), _u3171)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3169)), _u3171)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Suc__lessI ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Suc__lessI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3172), _u3173)) | ( hAPP(c_Nat_OSuc, _u3172) = _u3173) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3172)), _u3173)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_less__SucI ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_less__SucI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3174), _u3175)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3174), hAPP(c_Nat_OSuc, _u3175))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_less__antisym ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_less__antisym-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3176), _u3177)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3176), hAPP(c_Nat_OSuc, _u3177))) | ( _u3177 = _u3176) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_not__less__less__Suc__eq ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_not__less__less__Suc__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3178), _u3179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3178), hAPP(c_Nat_OSuc, _u3179))) | ( _u3178 = _u3179) )).
% 20.36/20.52 cnf(fact_not__less__less__Suc__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3178), _u3179)) | ( _u3178 != _u3179) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3178), hAPP(c_Nat_OSuc, _u3179))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Suc__less__eq ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Suc__less__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3182)), hAPP(c_Nat_OSuc, _u3184))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3182), _u3184)) )).
% 20.36/20.52 cnf(fact_Suc__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3183), _u3185)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3183)), hAPP(c_Nat_OSuc, _u3185))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_less__Suc__eq ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_less__Suc__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3188), hAPP(c_Nat_OSuc, _u3190))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3188), _u3190)) | ( _u3188 = _u3190) )).
% 20.36/20.52 cnf(fact_less__Suc__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3189), hAPP(c_Nat_OSuc, _u3191))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3189), _u3191)) )).
% 20.36/20.52 cnf(fact_less__Suc__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3189), hAPP(c_Nat_OSuc, _u3191))) | ( _u3189 != _u3191) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_not__less__eq ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_not__less__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3194), _u3196)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3196), hAPP(c_Nat_OSuc, _u3194))) )).
% 20.36/20.52 cnf(fact_not__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3197), hAPP(c_Nat_OSuc, _u3195))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3195), _u3197)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_add__Suc__shift ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_add__Suc__shift-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3198)), _u3199) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3198), hAPP(c_Nat_OSuc, _u3199))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_add__Suc ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_add__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3200)), _u3201) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3200), _u3201))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_add__Suc__right ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_add__Suc__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3202), hAPP(c_Nat_OSuc, _u3203)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3202), _u3203))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Suc__leD ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Suc__leD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3204)), _u3205)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3204), _u3205)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_le__SucE ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_le__SucE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3206), hAPP(c_Nat_OSuc, _u3207))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3206), _u3207)) | ( _u3206 = hAPP(c_Nat_OSuc, _u3207)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_le__SucI ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_le__SucI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3208), _u3209)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3208), hAPP(c_Nat_OSuc, _u3209))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Suc__le__mono ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Suc__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3212)), hAPP(c_Nat_OSuc, _u3214))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3212), _u3214)) )).
% 20.36/20.52 cnf(fact_Suc__le__mono-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3213), _u3215)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3213)), hAPP(c_Nat_OSuc, _u3215))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_le__Suc__eq ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_le__Suc__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3218), hAPP(c_Nat_OSuc, _u3220))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3218), _u3220)) | ( _u3218 = hAPP(c_Nat_OSuc, _u3220)) )).
% 20.36/20.52 cnf(fact_le__Suc__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3219), hAPP(c_Nat_OSuc, _u3221))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3219), _u3221)) )).
% 20.36/20.52 cnf(fact_le__Suc__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3219), hAPP(c_Nat_OSuc, _u3221))) | ( _u3219 != hAPP(c_Nat_OSuc, _u3221)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_not__less__eq__eq ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_not__less__eq__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3224), _u3226)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3226)), _u3224)) )).
% 20.36/20.52 cnf(fact_not__less__eq__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3227)), _u3225)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3225), _u3227)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Suc__n__not__le__n ( axiom ) converted to clauses:
% 20.36/20.52 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, _u3228)), _u3228)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_diff__Suc__Suc ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_diff__Suc__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3229)), hAPP(c_Nat_OSuc, _u3230)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3229), _u3230)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Suc__diff__diff ( axiom ) converted to clauses:
% 20.36/20.52 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, _u3231)), _u3232)), hAPP(c_Nat_OSuc, _u3233)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3231), _u3232)), _u3233)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Suc__mult__cancel1 ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Suc__mult__cancel1-1, axiom, ( ( _u3239 = _u3241) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3237)), _u3239) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3237)), _u3241)) )).
% 20.36/20.52 cnf(fact_Suc__mult__cancel1-2, axiom, ( ( _u3240 != _u3242) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3238)), _u3240) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3238)), _u3242)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_fold__image__empty ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_fold__image__empty-1, axiom, ( ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3243, _u3244, _u3245), _u3246), _u3247), c_Orderings_Obot__class_Obot(tc_fun(_u3244, tc_HOL_Obool))) = _u3247) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_min__Suc__Suc ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_min__Suc__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3248)), hAPP(c_Nat_OSuc, _u3249)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u3248), _u3249))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_less__add__Suc1 ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_less__add__Suc1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3250), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3250), _u3251)))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_less__add__Suc2 ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_less__add__Suc2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3252), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3253), _u3252)))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_less__iff__Suc__add ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_less__iff__Suc__add-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3258), _u3260)) | ( _u3260 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3258), skolem61(_u3260, _u3258)))) )).
% 20.36/20.52 cnf(fact_less__iff__Suc__add-2, axiom, ( ( _u3261 != hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3259), _u3255))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3259), _u3261)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Suc__le__lessD ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Suc__le__lessD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3262)), _u3263)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3262), _u3263)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_le__less__Suc__eq ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_le__less__Suc__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3264), _u3265)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3265), hAPP(c_Nat_OSuc, _u3264))) | ( _u3265 = _u3264) )).
% 20.36/20.52 cnf(fact_le__less__Suc__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3264), _u3265)) | ( _u3265 != _u3264) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3265), hAPP(c_Nat_OSuc, _u3264))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Suc__leI ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Suc__leI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3266), _u3267)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3266)), _u3267)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_le__imp__less__Suc ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_le__imp__less__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3268), _u3269)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3268), hAPP(c_Nat_OSuc, _u3269))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Suc__le__eq ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Suc__le__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3272)), _u3274)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3272), _u3274)) )).
% 20.36/20.52 cnf(fact_Suc__le__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3273), _u3275)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3273)), _u3275)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_less__Suc__eq__le ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_less__Suc__eq__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3278), hAPP(c_Nat_OSuc, _u3280))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3278), _u3280)) )).
% 20.36/20.52 cnf(fact_less__Suc__eq__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3279), _u3281)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3279), hAPP(c_Nat_OSuc, _u3281))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_less__eq__Suc__le ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_less__eq__Suc__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3284), _u3286)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3284)), _u3286)) )).
% 20.36/20.52 cnf(fact_less__eq__Suc__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3285)), _u3287)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3285), _u3287)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_diff__less__Suc ( axiom ) converted to clauses:
% 20.36/20.52 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), _u3288), _u3289)), hAPP(c_Nat_OSuc, _u3288))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Suc__mult__less__cancel1 ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Suc__mult__less__cancel1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3295), _u3297)) | ~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, _u3293)), _u3295)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3293)), _u3297))) )).
% 20.36/20.52 cnf(fact_Suc__mult__less__cancel1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3296), _u3298)) | 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, _u3294)), _u3296)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3294)), _u3298))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_mult__Suc__right ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_mult__Suc__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3299), hAPP(c_Nat_OSuc, _u3300)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3299), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3299), _u3300))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_mult__Suc ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_mult__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3301)), _u3302) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3302), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3301), _u3302))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Suc__diff__le ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Suc__diff__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3303), _u3304)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3304)), _u3303) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3304), _u3303))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Suc__mult__le__cancel1 ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Suc__mult__le__cancel1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3310), _u3312)) | ~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, _u3308)), _u3310)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3308)), _u3312))) )).
% 20.36/20.52 cnf(fact_Suc__mult__le__cancel1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3311), _u3313)) | 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, _u3309)), _u3311)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3309)), _u3313))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_diff__Suc__1 ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_diff__Suc__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3314)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u3314) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_folding__image__simple_Oeq__fold__g ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_folding__image__simple_Oeq__fold__g-1, axiom, ( ~c_Finite__Set_Ofolding__image__simple(_u3315, _u3316, _u3317, _u3318, _u3319, _u3320) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3316), _u3321)) | ( hAPP(_u3320, _u3321) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3315, _u3316, _u3317), _u3319), _u3318), _u3321)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_diff__Suc__diff__eq1 ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_diff__Suc__diff__eq1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3322), _u3323)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3324), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3323), _u3322))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3324), _u3322)), hAPP(c_Nat_OSuc, _u3323))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_diff__Suc__diff__eq2 ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_diff__Suc__diff__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3325), _u3326)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3326), _u3325))), _u3327) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3326)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3325), _u3327))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_card__insert__disjoint ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_card__insert__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3328), _u3329)) | hBOOL(hAPP(hAPP(c_member(_u3328), _u3330), _u3329)) | ( hAPP(c_Finite__Set_Ocard(_u3328), hAPP(hAPP(c_Set_Oinsert(_u3328), _u3330), _u3329)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u3328), _u3329))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_card__insert__if ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_card__insert__if-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3331), _u3332)) | ~hBOOL(hAPP(hAPP(c_member(_u3331), _u3333), _u3332)) | ( hAPP(c_Finite__Set_Ocard(_u3331), hAPP(hAPP(c_Set_Oinsert(_u3331), _u3333), _u3332)) = hAPP(c_Finite__Set_Ocard(_u3331), _u3332)) )).
% 20.36/20.52 cnf(fact_card__insert__if-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3331), _u3332)) | hBOOL(hAPP(hAPP(c_member(_u3331), _u3333), _u3332)) | ( hAPP(c_Finite__Set_Ocard(_u3331), hAPP(hAPP(c_Set_Oinsert(_u3331), _u3333), _u3332)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u3331), _u3332))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_fold__image__insert ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_fold__image__insert-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u3334) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3335), _u3336)) | hBOOL(hAPP(hAPP(c_member(_u3335), _u3337), _u3336)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3334, _u3335, c_Groups_Otimes__class_Otimes(_u3334)), _u3338), _u3339), hAPP(hAPP(c_Set_Oinsert(_u3335), _u3337), _u3336)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3334), hAPP(_u3338, _u3337)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3334, _u3335, c_Groups_Otimes__class_Otimes(_u3334)), _u3338), _u3339), _u3336))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_setprod_OF__eq ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_setprod_OF__eq-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3340) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3341), _u3342)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3341, _u3340), _u3343), _u3342) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3340, _u3341, c_Groups_Otimes__class_Otimes(_u3340)), _u3343), c_Groups_Oone__class_Oone(_u3340)), _u3342)) )).
% 20.36/20.52 cnf(fact_setprod_OF__eq-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3340) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3341), _u3342)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3341, _u3340), _u3343), _u3342) = c_Groups_Oone__class_Oone(_u3340)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_setprod_Oeq__fold ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_setprod_Oeq__fold-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3344) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3345), _u3346)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3345, _u3344), _u3347), _u3346) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3344, _u3345, c_Groups_Otimes__class_Otimes(_u3344)), _u3347), c_Groups_Oone__class_Oone(_u3344)), _u3346)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_card__insert ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_card__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3348), _u3349)) | ( hAPP(c_Finite__Set_Ocard(_u3348), hAPP(hAPP(c_Set_Oinsert(_u3348), _u3350), _u3349)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u3348), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3348, tc_HOL_Obool)), _u3349), hAPP(hAPP(c_Set_Oinsert(_u3348), _u3350), c_Orderings_Obot__class_Obot(tc_fun(_u3348, tc_HOL_Obool))))))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_fold__image__Un__Int ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_fold__image__Un__Int-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3351) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3352), _u3353)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3352), _u3354)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3351), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3351, _u3352, c_Groups_Otimes__class_Otimes(_u3351)), _u3355), c_Groups_Oone__class_Oone(_u3351)), _u3353)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3351, _u3352, c_Groups_Otimes__class_Otimes(_u3351)), _u3355), c_Groups_Oone__class_Oone(_u3351)), _u3354)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3351), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3351, _u3352, c_Groups_Otimes__class_Otimes(_u3351)), _u3355), c_Groups_Oone__class_Oone(_u3351)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3352, tc_HOL_Obool)), _u3353), _u3354))), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3351, _u3352, c_Groups_Otimes__class_Otimes(_u3351)), _u3355), c_Groups_Oone__class_Oone(_u3351)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3352, tc_HOL_Obool)), _u3353), _u3354)))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_diff__Suc__eq__diff__pred ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_diff__Suc__eq__diff__pred-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3356), hAPP(c_Nat_OSuc, _u3357)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3356), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u3357)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Suc__eq__plus1__left ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Suc__eq__plus1__left-1, axiom, ( ( hAPP(c_Nat_OSuc, _u3358) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u3358)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Suc__eq__plus1 ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Suc__eq__plus1-1, axiom, ( ( hAPP(c_Nat_OSuc, _u3359) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3359), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_comm__monoid__big_OF__eq ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_comm__monoid__big_OF__eq-1, axiom, ( ~c_Big__Operators_Ocomm__monoid__big(_u3360, _u3361, _u3362, _u3363, _u3364) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3361), _u3365)) | ( hAPP(hAPP(_u3364, _u3366), _u3365) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3360, _u3361, _u3362), _u3366), _u3363), _u3365)) )).
% 20.36/20.52 cnf(fact_comm__monoid__big_OF__eq-2, axiom, ( ~c_Big__Operators_Ocomm__monoid__big(_u3360, _u3361, _u3362, _u3363, _u3364) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3361), _u3365)) | ( hAPP(hAPP(_u3364, _u3366), _u3365) = _u3363) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_fold__image__Un__one ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_fold__image__Un__one-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3368) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3369), _u3370)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3369), _u3371)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3368, _u3369, c_Groups_Otimes__class_Otimes(_u3368)), _u3372), c_Groups_Oone__class_Oone(_u3368)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3369, tc_HOL_Obool)), _u3370), _u3371)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3368), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3368, _u3369, c_Groups_Otimes__class_Otimes(_u3368)), _u3372), c_Groups_Oone__class_Oone(_u3368)), _u3370)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3368, _u3369, c_Groups_Otimes__class_Otimes(_u3368)), _u3372), c_Groups_Oone__class_Oone(_u3368)), _u3371))) | hBOOL(hAPP(hAPP(c_member(_u3369), skolem62(_u3372, _u3371, _u3370, _u3369, _u3368)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3369, tc_HOL_Obool)), _u3370), _u3371))) )).
% 20.36/20.52 cnf(fact_fold__image__Un__one-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3368) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3369), _u3370)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3369), _u3371)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3368, _u3369, c_Groups_Otimes__class_Otimes(_u3368)), _u3372), c_Groups_Oone__class_Oone(_u3368)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3369, tc_HOL_Obool)), _u3370), _u3371)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3368), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3368, _u3369, c_Groups_Otimes__class_Otimes(_u3368)), _u3372), c_Groups_Oone__class_Oone(_u3368)), _u3370)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3368, _u3369, c_Groups_Otimes__class_Otimes(_u3368)), _u3372), c_Groups_Oone__class_Oone(_u3368)), _u3371))) | ( hAPP(_u3372, skolem62(_u3372, _u3371, _u3370, _u3369, _u3368)) != c_Groups_Oone__class_Oone(_u3368)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Sup__fold__sup ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Sup__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3373) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3373), _u3374)) | ( c_Complete__Lattice_OSup__class_OSup(_u3373, _u3374) = hAPP(hAPP(c_Finite__Set_Ofold(_u3373, _u3373, c_Lattices_Osemilattice__sup__class_Osup(_u3373)), c_Orderings_Obot__class_Obot(_u3373)), _u3374)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_fun__left__comm_Ofold__graph__insertE ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_fun__left__comm_Ofold__graph__insertE-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u3376, _u3377, _u3378) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u3376, _u3377, _u3378, _u3379, hAPP(hAPP(c_Set_Oinsert(_u3376), _u3380), _u3381)), _u3382)) | hBOOL(hAPP(hAPP(c_member(_u3376), _u3380), _u3381)) | ( _u3382 = hAPP(hAPP(_u3378, _u3380), skolem63(_u3382, _u3381, _u3380, _u3379, _u3378, _u3377, _u3376))) )).
% 20.36/20.52 cnf(fact_fun__left__comm_Ofold__graph__insertE-2, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u3376, _u3377, _u3378) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u3376, _u3377, _u3378, _u3379, hAPP(hAPP(c_Set_Oinsert(_u3376), _u3380), _u3381)), _u3382)) | hBOOL(hAPP(hAPP(c_member(_u3376), _u3380), _u3381)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u3376, _u3377, _u3378, _u3379, _u3381), skolem63(_u3382, _u3381, _u3380, _u3379, _u3378, _u3377, _u3376))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_finite__UnionD ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_finite__UnionD-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3383), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3383, tc_HOL_Obool), _u3384))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u3383, tc_HOL_Obool)), _u3384)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_sup__Sup__fold__sup ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_sup__Sup__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3385) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3385), _u3386)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3385), _u3387), c_Complete__Lattice_OSup__class_OSup(_u3385, _u3386)) = hAPP(hAPP(c_Finite__Set_Ofold(_u3385, _u3385, c_Lattices_Osemilattice__sup__class_Osup(_u3385)), _u3387), _u3386)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Sup__fin__Sup ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Sup__fin__Sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3388) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3388), _u3389)) | ( _u3389 = c_Orderings_Obot__class_Obot(tc_fun(_u3388, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3388, _u3389) = c_Complete__Lattice_OSup__class_OSup(_u3388, _u3389)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_comm__monoid__big_Oinfinite ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_comm__monoid__big_Oinfinite-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u3391), _u3395)) | ( hAPP(hAPP(_u3394, _u3396), _u3395) = _u3393) | ~c_Big__Operators_Ocomm__monoid__big(_u3390, _u3391, _u3392, _u3393, _u3394) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Sup__binary ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Sup__binary-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3397) | ( c_Complete__Lattice_OSup__class_OSup(_u3397, hAPP(hAPP(c_Set_Oinsert(_u3397), _u3398), hAPP(hAPP(c_Set_Oinsert(_u3397), _u3399), c_Orderings_Obot__class_Obot(tc_fun(_u3397, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3397), _u3398), _u3399)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Sup__insert ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Sup__insert-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3400) | ( c_Complete__Lattice_OSup__class_OSup(_u3400, hAPP(hAPP(c_Set_Oinsert(_u3400), _u3401), _u3402)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3400), _u3401), c_Complete__Lattice_OSup__class_OSup(_u3400, _u3402))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Sup__singleton ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Sup__singleton-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3403) | ( c_Complete__Lattice_OSup__class_OSup(_u3403, hAPP(hAPP(c_Set_Oinsert(_u3403), _u3404), c_Orderings_Obot__class_Obot(tc_fun(_u3403, tc_HOL_Obool)))) = _u3404) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Sup__empty ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Sup__empty-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3405) | ( c_Complete__Lattice_OSup__class_OSup(_u3405, c_Orderings_Obot__class_Obot(tc_fun(_u3405, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u3405)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Sup__upper ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Sup__upper-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3406) | ~hBOOL(hAPP(hAPP(c_member(_u3406), _u3407), _u3408)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3406), _u3407), c_Complete__Lattice_OSup__class_OSup(_u3406, _u3408))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_UnionI ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_UnionI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3409, tc_HOL_Obool)), _u3410), _u3411)) | ~hBOOL(hAPP(hAPP(c_member(_u3409), _u3412), _u3410)) | hBOOL(hAPP(hAPP(c_member(_u3409), _u3412), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3409, tc_HOL_Obool), _u3411))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Union__mono ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Union__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u3413, tc_HOL_Obool), tc_HOL_Obool)), _u3414), _u3415)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3413, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3413, tc_HOL_Obool), _u3414)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3413, tc_HOL_Obool), _u3415))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_less__Sup__iff ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_less__Sup__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3418) | ~class_Orderings_Olinorder(_u3418) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3418), _u3419), c_Complete__Lattice_OSup__class_OSup(_u3418, _u3420))) | hBOOL(hAPP(hAPP(c_member(_u3418), skolem64(_u3420, _u3419, _u3418)), _u3420)) )).
% 20.36/20.52 cnf(fact_less__Sup__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3418) | ~class_Orderings_Olinorder(_u3418) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3418), _u3419), c_Complete__Lattice_OSup__class_OSup(_u3418, _u3420))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3418), _u3419), skolem64(_u3420, _u3419, _u3418))) )).
% 20.36/20.52 cnf(fact_less__Sup__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3418) | ~class_Orderings_Olinorder(_u3418) | ~hBOOL(hAPP(hAPP(c_member(_u3418), _u3417), _u3420)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3418), _u3419), _u3417)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3418), _u3419), c_Complete__Lattice_OSup__class_OSup(_u3418, _u3420))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Union__empty ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Union__empty-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3421, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u3421, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u3421, tc_HOL_Obool))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Union__upper ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Union__upper-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3422, tc_HOL_Obool)), _u3423), _u3424)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3422, tc_HOL_Obool)), _u3423), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3422, tc_HOL_Obool), _u3424))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Union__insert ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Union__insert-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3425, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u3425, tc_HOL_Obool)), _u3426), _u3427)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3425, tc_HOL_Obool)), _u3426), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3425, tc_HOL_Obool), _u3427))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Un__eq__Union ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Un__eq__Union-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3428, tc_HOL_Obool)), _u3429), _u3430) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3428, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u3428, tc_HOL_Obool)), _u3429), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u3428, tc_HOL_Obool)), _u3430), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u3428, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Union__Un__distrib ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Union__Un__distrib-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3431, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u3431, tc_HOL_Obool), tc_HOL_Obool)), _u3432), _u3433)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3431, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3431, tc_HOL_Obool), _u3432)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3431, tc_HOL_Obool), _u3433))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Union__disjoint ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Union__disjoint-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3439, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3439, tc_HOL_Obool), _u3441)), _u3443) != c_Orderings_Obot__class_Obot(tc_fun(_u3439, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3439, tc_HOL_Obool)), _u3434), _u3441)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3439, tc_HOL_Obool)), _u3434), _u3443) = c_Orderings_Obot__class_Obot(tc_fun(_u3439, tc_HOL_Obool))) )).
% 20.36/20.52 cnf(fact_Union__disjoint-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3440, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3440, tc_HOL_Obool), _u3442)), _u3444) = c_Orderings_Obot__class_Obot(tc_fun(_u3440, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u3440, tc_HOL_Obool)), skolem65(_u3444, _u3442, _u3440)), _u3442)) )).
% 20.36/20.52 cnf(fact_Union__disjoint-3, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3440, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3440, tc_HOL_Obool), _u3442)), _u3444) = c_Orderings_Obot__class_Obot(tc_fun(_u3440, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3440, tc_HOL_Obool)), skolem65(_u3444, _u3442, _u3440)), _u3444) != c_Orderings_Obot__class_Obot(tc_fun(_u3440, tc_HOL_Obool))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Union__Int__subset ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Union__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3445, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3445, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u3445, tc_HOL_Obool), tc_HOL_Obool)), _u3446), _u3447))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3445, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3445, tc_HOL_Obool), _u3446)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3445, tc_HOL_Obool), _u3447)))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_Sup__le__iff ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_Sup__le__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3450) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3450), c_Complete__Lattice_OSup__class_OSup(_u3450, _u3451)), _u3452)) | ~hBOOL(hAPP(hAPP(c_member(_u3450), _u3448), _u3451)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3450), _u3448), _u3452)) )).
% 20.36/20.52 cnf(fact_Sup__le__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3450) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3450), c_Complete__Lattice_OSup__class_OSup(_u3450, _u3451)), _u3452)) | hBOOL(hAPP(hAPP(c_member(_u3450), skolem66(_u3452, _u3451, _u3450)), _u3451)) )).
% 20.36/20.52 cnf(fact_Sup__le__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3450) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3450), c_Complete__Lattice_OSup__class_OSup(_u3450, _u3451)), _u3452)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3450), skolem66(_u3452, _u3451, _u3450)), _u3452)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_finite__Union ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_finite__Union-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u3454, tc_HOL_Obool)), _u3455)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3454), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3454, tc_HOL_Obool), _u3455))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u3454, tc_HOL_Obool)), skolem67(_u3455, _u3454)), _u3455)) )).
% 20.36/20.52 cnf(fact_finite__Union-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u3454, tc_HOL_Obool)), _u3455)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3454), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3454, tc_HOL_Obool), _u3455))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3454), skolem67(_u3455, _u3454))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_fun__left__comm__idem_Ofold__insert__idem ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_fun__left__comm__idem_Ofold__insert__idem-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u3456, _u3457, _u3458) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3456), _u3459)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u3456, _u3457, _u3458), _u3460), hAPP(hAPP(c_Set_Oinsert(_u3456), _u3461), _u3459)) = hAPP(hAPP(_u3458, _u3461), hAPP(hAPP(c_Finite__Set_Ofold(_u3456, _u3457, _u3458), _u3460), _u3459))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_fun__left__comm__idem_Ofold__insert__idem2 ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_fun__left__comm__idem_Ofold__insert__idem2-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u3462, _u3463, _u3464) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3462), _u3465)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u3462, _u3463, _u3464), _u3466), hAPP(hAPP(c_Set_Oinsert(_u3462), _u3467), _u3465)) = hAPP(hAPP(c_Finite__Set_Ofold(_u3462, _u3463, _u3464), hAPP(hAPP(_u3464, _u3467), _u3466)), _u3465)) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_insert__partition ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_insert__partition-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u3470, tc_HOL_Obool)), _u3471), _u3472)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3470, tc_HOL_Obool)), _u3471), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3470, tc_HOL_Obool), _u3472)) = c_Orderings_Obot__class_Obot(tc_fun(_u3470, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u3470, tc_HOL_Obool)), skolem68(_u3472, _u3471, _u3470)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u3470, tc_HOL_Obool)), _u3471), _u3472))) )).
% 20.36/20.52 cnf(fact_insert__partition-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u3470, tc_HOL_Obool)), _u3471), _u3472)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3470, tc_HOL_Obool)), _u3471), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3470, tc_HOL_Obool), _u3472)) = c_Orderings_Obot__class_Obot(tc_fun(_u3470, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u3470, tc_HOL_Obool)), skolem69(_u3472, _u3471, _u3470)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u3470, tc_HOL_Obool)), _u3471), _u3472))) )).
% 20.36/20.52 cnf(fact_insert__partition-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u3470, tc_HOL_Obool)), _u3471), _u3472)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3470, tc_HOL_Obool)), _u3471), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3470, tc_HOL_Obool), _u3472)) = c_Orderings_Obot__class_Obot(tc_fun(_u3470, tc_HOL_Obool))) | ( skolem68(_u3472, _u3471, _u3470) != skolem69(_u3472, _u3471, _u3470)) )).
% 20.36/20.52 cnf(fact_insert__partition-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u3470, tc_HOL_Obool)), _u3471), _u3472)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3470, tc_HOL_Obool)), _u3471), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3470, tc_HOL_Obool), _u3472)) = c_Orderings_Obot__class_Obot(tc_fun(_u3470, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3470, tc_HOL_Obool)), skolem68(_u3472, _u3471, _u3470)), skolem69(_u3472, _u3471, _u3470)) != c_Orderings_Obot__class_Obot(tc_fun(_u3470, tc_HOL_Obool))) )).
% 20.36/20.52
% 20.36/20.52 % Formula: fact_convex__bound__lt ( axiom ) converted to clauses:
% 20.36/20.52 cnf(fact_convex__bound__lt-1, axiom, ( ~class_Rings_Olinordered__semiring__1__strict(_u3473) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3473), _u3474), _u3475)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3473), _u3476), _u3475)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3473), c_Groups_Ozero__class_Ozero(_u3473)), _u3477)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3473), c_Groups_Ozero__class_Ozero(_u3473)), _u3478)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3473), _u3477), _u3478) != c_Groups_Oone__class_Oone(_u3473)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3473), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3473), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3473), _u3477), _u3474)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3473), _u3478), _u3476))), _u3475)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_card__partition ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_card__partition-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u3482, tc_HOL_Obool)), _u3483)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3482), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3482, tc_HOL_Obool), _u3483))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u3482, tc_HOL_Obool)), skolem70(_u3484, _u3483, _u3482)), _u3483)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3484), hAPP(c_Finite__Set_Ocard(tc_fun(_u3482, tc_HOL_Obool)), _u3483)) = hAPP(c_Finite__Set_Ocard(_u3482), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3482, tc_HOL_Obool), _u3483))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u3482, tc_HOL_Obool)), skolem71(_u3484, _u3483, _u3482)), _u3483)) )).
% 20.36/20.53 cnf(fact_card__partition-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u3482, tc_HOL_Obool)), _u3483)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3482), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3482, tc_HOL_Obool), _u3483))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u3482, tc_HOL_Obool)), skolem70(_u3484, _u3483, _u3482)), _u3483)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3484), hAPP(c_Finite__Set_Ocard(tc_fun(_u3482, tc_HOL_Obool)), _u3483)) = hAPP(c_Finite__Set_Ocard(_u3482), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3482, tc_HOL_Obool), _u3483))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u3482, tc_HOL_Obool)), skolem72(_u3484, _u3483, _u3482)), _u3483)) )).
% 20.36/20.53 cnf(fact_card__partition-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u3482, tc_HOL_Obool)), _u3483)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3482), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3482, tc_HOL_Obool), _u3483))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u3482, tc_HOL_Obool)), skolem70(_u3484, _u3483, _u3482)), _u3483)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3484), hAPP(c_Finite__Set_Ocard(tc_fun(_u3482, tc_HOL_Obool)), _u3483)) = hAPP(c_Finite__Set_Ocard(_u3482), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3482, tc_HOL_Obool), _u3483))) | ( skolem71(_u3484, _u3483, _u3482) != skolem72(_u3484, _u3483, _u3482)) )).
% 20.36/20.53 cnf(fact_card__partition-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u3482, tc_HOL_Obool)), _u3483)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3482), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3482, tc_HOL_Obool), _u3483))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u3482, tc_HOL_Obool)), skolem70(_u3484, _u3483, _u3482)), _u3483)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3484), hAPP(c_Finite__Set_Ocard(tc_fun(_u3482, tc_HOL_Obool)), _u3483)) = hAPP(c_Finite__Set_Ocard(_u3482), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3482, tc_HOL_Obool), _u3483))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3482, tc_HOL_Obool)), skolem71(_u3484, _u3483, _u3482)), skolem72(_u3484, _u3483, _u3482)) != c_Orderings_Obot__class_Obot(tc_fun(_u3482, tc_HOL_Obool))) )).
% 20.36/20.53 cnf(fact_card__partition-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u3482, tc_HOL_Obool)), _u3483)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3482), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3482, tc_HOL_Obool), _u3483))) | ( hAPP(c_Finite__Set_Ocard(_u3482), skolem70(_u3484, _u3483, _u3482)) != _u3484) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3484), hAPP(c_Finite__Set_Ocard(tc_fun(_u3482, tc_HOL_Obool)), _u3483)) = hAPP(c_Finite__Set_Ocard(_u3482), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3482, tc_HOL_Obool), _u3483))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u3482, tc_HOL_Obool)), skolem71(_u3484, _u3483, _u3482)), _u3483)) )).
% 20.36/20.53 cnf(fact_card__partition-6, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u3482, tc_HOL_Obool)), _u3483)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3482), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3482, tc_HOL_Obool), _u3483))) | ( hAPP(c_Finite__Set_Ocard(_u3482), skolem70(_u3484, _u3483, _u3482)) != _u3484) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3484), hAPP(c_Finite__Set_Ocard(tc_fun(_u3482, tc_HOL_Obool)), _u3483)) = hAPP(c_Finite__Set_Ocard(_u3482), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3482, tc_HOL_Obool), _u3483))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u3482, tc_HOL_Obool)), skolem72(_u3484, _u3483, _u3482)), _u3483)) )).
% 20.36/20.53 cnf(fact_card__partition-7, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u3482, tc_HOL_Obool)), _u3483)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3482), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3482, tc_HOL_Obool), _u3483))) | ( hAPP(c_Finite__Set_Ocard(_u3482), skolem70(_u3484, _u3483, _u3482)) != _u3484) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3484), hAPP(c_Finite__Set_Ocard(tc_fun(_u3482, tc_HOL_Obool)), _u3483)) = hAPP(c_Finite__Set_Ocard(_u3482), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3482, tc_HOL_Obool), _u3483))) | ( skolem71(_u3484, _u3483, _u3482) != skolem72(_u3484, _u3483, _u3482)) )).
% 20.36/20.53 cnf(fact_card__partition-8, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u3482, tc_HOL_Obool)), _u3483)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3482), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3482, tc_HOL_Obool), _u3483))) | ( hAPP(c_Finite__Set_Ocard(_u3482), skolem70(_u3484, _u3483, _u3482)) != _u3484) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3484), hAPP(c_Finite__Set_Ocard(tc_fun(_u3482, tc_HOL_Obool)), _u3483)) = hAPP(c_Finite__Set_Ocard(_u3482), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3482, tc_HOL_Obool), _u3483))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3482, tc_HOL_Obool)), skolem71(_u3484, _u3483, _u3482)), skolem72(_u3484, _u3483, _u3482)) != c_Orderings_Obot__class_Obot(tc_fun(_u3482, tc_HOL_Obool))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_fold__image__1 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_fold__image__1-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3486) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3487), _u3488)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3486, _u3487, c_Groups_Otimes__class_Otimes(_u3486)), _u3489), c_Groups_Oone__class_Oone(_u3486)), _u3488) = c_Groups_Oone__class_Oone(_u3486)) | hBOOL(hAPP(hAPP(c_member(_u3487), skolem73(_u3489, _u3488, _u3487, _u3486)), _u3488)) )).
% 20.36/20.53 cnf(fact_fold__image__1-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3486) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3487), _u3488)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3486, _u3487, c_Groups_Otimes__class_Otimes(_u3486)), _u3489), c_Groups_Oone__class_Oone(_u3486)), _u3488) = c_Groups_Oone__class_Oone(_u3486)) | ( hAPP(_u3489, skolem73(_u3489, _u3488, _u3487, _u3486)) != c_Groups_Oone__class_Oone(_u3486)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_card__Plus ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_card__Plus-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3490), _u3491)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3492), _u3493)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u3490, _u3492)), c_Sum__Type_OPlus(_u3490, _u3492, _u3491, _u3493)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3490), _u3491)), hAPP(c_Finite__Set_Ocard(_u3492), _u3493))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_less__zeroE ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_less__zeroE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3494), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_le0 ( axiom ) converted to clauses:
% 20.36/20.53 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)), _u3495)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zero__less__Suc ( axiom ) converted to clauses:
% 20.36/20.53 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, _u3496))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zero__reorient ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zero__reorient-1, axiom, ( ~class_Groups_Ozero(_u3497) | ( c_Groups_Ozero__class_Ozero(_u3497) != _u3498) | ( _u3498 = c_Groups_Ozero__class_Ozero(_u3497)) )).
% 20.36/20.53 cnf(fact_zero__reorient-2, axiom, ( ~class_Groups_Ozero(_u3497) | ( _u3498 != c_Groups_Ozero__class_Ozero(_u3497)) | ( c_Groups_Ozero__class_Ozero(_u3497) = _u3498) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_fun__left__comm__idem_Ofun__left__idem ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_fun__left__comm__idem_Ofun__left__idem-1, axiom, ( ( hAPP(hAPP(_u3501, _u3502), hAPP(hAPP(_u3501, _u3502), _u3503)) = hAPP(hAPP(_u3501, _u3502), _u3503)) | ~c_Finite__Set_Ofun__left__comm__idem(_u3499, _u3500, _u3501) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_add__0__iff ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_add__0__iff-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u3504) | ( _u3505 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3504), _u3505), _u3506)) | ( _u3506 = c_Groups_Ozero__class_Ozero(_u3504)) )).
% 20.36/20.53 cnf(fact_add__0__iff-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u3504) | ( _u3506 != c_Groups_Ozero__class_Ozero(_u3504)) | ( _u3505 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3504), _u3505), _u3506)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3507) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3507), _u3508), c_Groups_Ozero__class_Ozero(_u3507)) = _u3508) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3509) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3509), c_Groups_Ozero__class_Ozero(_u3509)), _u3510) = _u3510) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_add__0__left ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_add__0__left-1, axiom, ( ~class_Groups_Omonoid__add(_u3511) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3511), c_Groups_Ozero__class_Ozero(_u3511)), _u3512) = _u3512) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_add__0 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_add__0-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3513) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3513), c_Groups_Ozero__class_Ozero(_u3513)), _u3514) = _u3514) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_double__zero__sym ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_double__zero__sym-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u3515) | ( c_Groups_Ozero__class_Ozero(_u3515) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3515), _u3516), _u3516)) | ( _u3516 = c_Groups_Ozero__class_Ozero(_u3515)) )).
% 20.36/20.53 cnf(fact_double__zero__sym-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u3515) | ( _u3516 != c_Groups_Ozero__class_Ozero(_u3515)) | ( c_Groups_Ozero__class_Ozero(_u3515) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3515), _u3516), _u3516)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_add__0__right ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_add__0__right-1, axiom, ( ~class_Groups_Omonoid__add(_u3517) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3517), _u3518), c_Groups_Ozero__class_Ozero(_u3517)) = _u3518) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_add_Ocomm__neutral ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_add_Ocomm__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3519) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3519), _u3520), c_Groups_Ozero__class_Ozero(_u3519)) = _u3520) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_divisors__zero ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_divisors__zero-1, axiom, ( ~class_Rings_Ono__zero__divisors(_u3521) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3521), _u3522), _u3523) != c_Groups_Ozero__class_Ozero(_u3521)) | ( _u3522 = c_Groups_Ozero__class_Ozero(_u3521)) | ( _u3523 = c_Groups_Ozero__class_Ozero(_u3521)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_no__zero__divisors ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_no__zero__divisors-1, axiom, ( ~class_Rings_Ono__zero__divisors(_u3524) | ( _u3525 = c_Groups_Ozero__class_Ozero(_u3524)) | ( _u3526 = c_Groups_Ozero__class_Ozero(_u3524)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3524), _u3525), _u3526) != c_Groups_Ozero__class_Ozero(_u3524)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__eq__0__iff ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__eq__0__iff-1, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u3527) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3527), _u3528), _u3529) != c_Groups_Ozero__class_Ozero(_u3527)) | ( _u3528 = c_Groups_Ozero__class_Ozero(_u3527)) | ( _u3529 = c_Groups_Ozero__class_Ozero(_u3527)) )).
% 20.36/20.53 cnf(fact_mult__eq__0__iff-2, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u3527) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3527), _u3528), _u3529) = c_Groups_Ozero__class_Ozero(_u3527)) | ( _u3528 != c_Groups_Ozero__class_Ozero(_u3527)) )).
% 20.36/20.53 cnf(fact_mult__eq__0__iff-3, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u3527) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3527), _u3528), _u3529) = c_Groups_Ozero__class_Ozero(_u3527)) | ( _u3529 != c_Groups_Ozero__class_Ozero(_u3527)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3530) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3530), _u3531), c_Groups_Ozero__class_Ozero(_u3530)) = c_Groups_Ozero__class_Ozero(_u3530)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__zero__right ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__zero__right-1, axiom, ( ~class_Rings_Omult__zero(_u3532) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3532), _u3533), c_Groups_Ozero__class_Ozero(_u3532)) = c_Groups_Ozero__class_Ozero(_u3532)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3534) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3534), c_Groups_Ozero__class_Ozero(_u3534)), _u3535) = c_Groups_Ozero__class_Ozero(_u3534)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__zero__left ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__zero__left-1, axiom, ( ~class_Rings_Omult__zero(_u3536) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3536), c_Groups_Ozero__class_Ozero(_u3536)), _u3537) = c_Groups_Ozero__class_Ozero(_u3536)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_right__minus__eq ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_right__minus__eq-1, axiom, ( ~class_Groups_Ogroup__add(_u3538) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3538), _u3539), _u3540) != c_Groups_Ozero__class_Ozero(_u3538)) | ( _u3539 = _u3540) )).
% 20.36/20.53 cnf(fact_right__minus__eq-2, axiom, ( ~class_Groups_Ogroup__add(_u3538) | ( _u3539 != _u3540) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3538), _u3539), _u3540) = c_Groups_Ozero__class_Ozero(_u3538)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_eq__iff__diff__eq__0 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_eq__iff__diff__eq__0-1, axiom, ( ~class_Groups_Oab__group__add(_u3541) | ( _u3542 != _u3543) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3541), _u3542), _u3543) = c_Groups_Ozero__class_Ozero(_u3541)) )).
% 20.36/20.53 cnf(fact_eq__iff__diff__eq__0-2, axiom, ( ~class_Groups_Oab__group__add(_u3541) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3541), _u3542), _u3543) != c_Groups_Ozero__class_Ozero(_u3541)) | ( _u3542 = _u3543) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_diff__self ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_diff__self-1, axiom, ( ~class_Groups_Ogroup__add(_u3544) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3544), _u3545), _u3545) = c_Groups_Ozero__class_Ozero(_u3544)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_diff__0__right ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_diff__0__right-1, axiom, ( ~class_Groups_Ogroup__add(_u3546) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3546), _u3547), c_Groups_Ozero__class_Ozero(_u3546)) = _u3547) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_one__neq__zero ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_one__neq__zero-1, axiom, ( ~class_Rings_Ozero__neq__one(_u3548) | ( c_Groups_Oone__class_Oone(_u3548) != c_Groups_Ozero__class_Ozero(_u3548)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zero__neq__one ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zero__neq__one-1, axiom, ( ~class_Rings_Ozero__neq__one(_u3549) | ( c_Groups_Ozero__class_Ozero(_u3549) != c_Groups_Oone__class_Oone(_u3549)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_Zero__not__Suc ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_Zero__not__Suc-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u3550)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_nat_Osimps_I2_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_nat_Osimps_I2_J-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u3551)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_Suc__not__Zero ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_Suc__not__Zero-1, axiom, ( ( hAPP(c_Nat_OSuc, _u3552) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_nat_Osimps_I3_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_nat_Osimps_I3_J-1, axiom, ( ( hAPP(c_Nat_OSuc, _u3553) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_Zero__neq__Suc ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_Zero__neq__Suc-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u3554)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_Suc__neq__Zero ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_Suc__neq__Zero-1, axiom, ( ( hAPP(c_Nat_OSuc, _u3555) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_not__less0 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_not__less0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3556), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_neq0__conv ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_neq0__conv-1, axiom, ( ( _u3558 = 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)), _u3558)) )).
% 20.36/20.53 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)), _u3559)) | ( _u3559 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_less__nat__zero__code ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_less__nat__zero__code-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3560), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_gr__implies__not0 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_gr__implies__not0-1, axiom, ( ( _u3562 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3561), _u3562)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_gr0I ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_gr0I-1, axiom, ( ( _u3563 = 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)), _u3563)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_plus__nat_Oadd__0 ( axiom ) converted to clauses:
% 20.36/20.53 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)), _u3564) = _u3564) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_Nat_Oadd__0__right ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_Nat_Oadd__0__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3565), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u3565) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_add__is__0 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_add__is__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3568), _u3570) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3568 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53 cnf(fact_add__is__0-2, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3568), _u3570) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3570 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53 cnf(fact_add__is__0-3, axiom, ( ( _u3569 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3571 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3569), _u3571) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_add__eq__self__zero ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_add__eq__self__zero-1, axiom, ( ( _u3573 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3572), _u3573) != _u3572) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_less__eq__nat_Osimps_I1_J ( axiom ) converted to clauses:
% 20.36/20.53 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)), _u3574)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_le__0__eq ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_le__0__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3576), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3576 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53 cnf(fact_le__0__eq-2, axiom, ( ( _u3577 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3577), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_diffs0__imp__equal ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_diffs0__imp__equal-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3578), _u3579) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3579), _u3578) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3578 = _u3579) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_diff__self__eq__0 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_diff__self__eq__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3580), _u3580) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_minus__nat_Odiff__0 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_minus__nat_Odiff__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3581), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u3581) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_diff__0__eq__0 ( axiom ) converted to clauses:
% 20.36/20.53 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)), _u3582) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__cancel2 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__cancel2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3586), _u3588) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3590), _u3588)) | ( _u3586 = _u3590) | ( _u3588 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53 cnf(fact_mult__cancel2-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3587), _u3589) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3591), _u3589)) | ( _u3587 != _u3591) )).
% 20.36/20.53 cnf(fact_mult__cancel2-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3587), _u3589) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3591), _u3589)) | ( _u3589 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__cancel1 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__cancel1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3595), _u3597) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3595), _u3599)) | ( _u3597 = _u3599) | ( _u3595 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53 cnf(fact_mult__cancel1-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3596), _u3598) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3596), _u3600)) | ( _u3598 != _u3600) )).
% 20.36/20.53 cnf(fact_mult__cancel1-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3596), _u3598) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3596), _u3600)) | ( _u3596 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__is__0 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__is__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3603), _u3605) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3603 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3605 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53 cnf(fact_mult__is__0-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3604), _u3606) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3604 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53 cnf(fact_mult__is__0-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3604), _u3606) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3606 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__0__right ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__0__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3607), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__0 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3608) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_nat__mult__eq__cancel__disj ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_nat__mult__eq__cancel__disj-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3612), _u3614) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3612), _u3616)) | ( _u3612 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3614 = _u3616) )).
% 20.36/20.53 cnf(fact_nat__mult__eq__cancel__disj-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3613), _u3615) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3613), _u3617)) | ( _u3613 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53 cnf(fact_nat__mult__eq__cancel__disj-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3613), _u3615) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3613), _u3617)) | ( _u3615 != _u3617) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_min__0R ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_min__0R-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u3618), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_min__0L ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_min__0L-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3619) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_fun__left__comm__idem__insert ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_fun__left__comm__idem__insert-1, axiom, ( c_Finite__Set_Ofun__left__comm__idem(_u3620, tc_fun(_u3620, tc_HOL_Obool), c_Set_Oinsert(_u3620)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_finite__Plus__iff ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_finite__Plus__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u3625, _u3627)), c_Sum__Type_OPlus(_u3625, _u3627, _u3629, _u3631))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3625), _u3629)) )).
% 20.36/20.53 cnf(fact_finite__Plus__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u3625, _u3627)), c_Sum__Type_OPlus(_u3625, _u3627, _u3629, _u3631))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3627), _u3631)) )).
% 20.36/20.53 cnf(fact_finite__Plus__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3626), _u3630)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3628), _u3632)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u3626, _u3628)), c_Sum__Type_OPlus(_u3626, _u3628, _u3630, _u3632))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_finite__Plus ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_finite__Plus-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3633), _u3634)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3635), _u3636)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u3633, _u3635)), c_Sum__Type_OPlus(_u3633, _u3635, _u3634, _u3636))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_finite__PlusD_I1_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_finite__PlusD_I1_J-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u3637, _u3638)), c_Sum__Type_OPlus(_u3637, _u3638, _u3639, _u3640))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3637), _u3639)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_finite__PlusD_I2_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_finite__PlusD_I2_J-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u3642), _u3644)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u3641, _u3642)), c_Sum__Type_OPlus(_u3641, _u3642, _u3643, _u3644))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_card__Plus__conv__if ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_card__Plus__conv__if-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3649), _u3651)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3653), _u3655)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u3649, _u3653)), c_Sum__Type_OPlus(_u3649, _u3653, _u3651, _u3655)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3649), _u3651)), hAPP(c_Finite__Set_Ocard(_u3653), _u3655))) )).
% 20.36/20.53 cnf(fact_card__Plus__conv__if-2, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u3650, _u3654)), c_Sum__Type_OPlus(_u3650, _u3654, _u3652, _u3656)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3650), _u3652)) )).
% 20.36/20.53 cnf(fact_card__Plus__conv__if-3, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u3650, _u3654)), c_Sum__Type_OPlus(_u3650, _u3654, _u3652, _u3656)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3654), _u3656)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_fun__left__comm__idem ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_fun__left__comm__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u3657) | c_Finite__Set_Ofun__left__comm__idem(_u3657, _u3657, c_Groups_Otimes__class_Otimes(_u3657)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_fun__left__comm__idem__sup ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_fun__left__comm__idem__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u3658) | c_Finite__Set_Ofun__left__comm__idem(_u3658, _u3658, c_Lattices_Osemilattice__sup__class_Osup(_u3658)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_fun__left__comm__idem__inf ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_fun__left__comm__idem__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u3659) | c_Finite__Set_Ofun__left__comm__idem(_u3659, _u3659, c_Lattices_Osemilattice__inf__class_Oinf(_u3659)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_min__max_Ofun__left__comm__idem__inf ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_min__max_Ofun__left__comm__idem__inf-1, axiom, ( ~class_Orderings_Olinorder(_u3660) | c_Finite__Set_Ofun__left__comm__idem(_u3660, _u3660, c_Orderings_Oord__class_Omin(_u3660)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zero__le__double__add__iff__zero__le__single__add ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zero__le__double__add__iff__zero__le__single__add-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u3661) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3661), c_Groups_Ozero__class_Ozero(_u3661)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3661), _u3662), _u3662))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3661), c_Groups_Ozero__class_Ozero(_u3661)), _u3662)) )).
% 20.36/20.53 cnf(fact_zero__le__double__add__iff__zero__le__single__add-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u3661) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3661), c_Groups_Ozero__class_Ozero(_u3661)), _u3662)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3661), c_Groups_Ozero__class_Ozero(_u3661)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3661), _u3662), _u3662))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_double__add__le__zero__iff__single__add__le__zero ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_double__add__le__zero__iff__single__add__le__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u3663) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3663), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3663), _u3664), _u3664)), c_Groups_Ozero__class_Ozero(_u3663))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3663), _u3664), c_Groups_Ozero__class_Ozero(_u3663))) )).
% 20.36/20.53 cnf(fact_double__add__le__zero__iff__single__add__le__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u3663) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3663), _u3664), c_Groups_Ozero__class_Ozero(_u3663))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3663), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3663), _u3664), _u3664)), c_Groups_Ozero__class_Ozero(_u3663))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_add__nonneg__nonneg ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_add__nonneg__nonneg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3665) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3665), c_Groups_Ozero__class_Ozero(_u3665)), _u3666)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3665), c_Groups_Ozero__class_Ozero(_u3665)), _u3667)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3665), c_Groups_Ozero__class_Ozero(_u3665)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3665), _u3666), _u3667))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_add__nonneg__eq__0__iff ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_add__nonneg__eq__0__iff-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3668) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3668), c_Groups_Ozero__class_Ozero(_u3668)), _u3669)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3668), c_Groups_Ozero__class_Ozero(_u3668)), _u3670)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3668), _u3669), _u3670) != c_Groups_Ozero__class_Ozero(_u3668)) | ( _u3669 = c_Groups_Ozero__class_Ozero(_u3668)) )).
% 20.36/20.53 cnf(fact_add__nonneg__eq__0__iff-2, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3668) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3668), c_Groups_Ozero__class_Ozero(_u3668)), _u3669)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3668), c_Groups_Ozero__class_Ozero(_u3668)), _u3670)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3668), _u3669), _u3670) != c_Groups_Ozero__class_Ozero(_u3668)) | ( _u3670 = c_Groups_Ozero__class_Ozero(_u3668)) )).
% 20.36/20.53 cnf(fact_add__nonneg__eq__0__iff-3, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3668) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3668), c_Groups_Ozero__class_Ozero(_u3668)), _u3669)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3668), c_Groups_Ozero__class_Ozero(_u3668)), _u3670)) | ( _u3669 != c_Groups_Ozero__class_Ozero(_u3668)) | ( _u3670 != c_Groups_Ozero__class_Ozero(_u3668)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3668), _u3669), _u3670) = c_Groups_Ozero__class_Ozero(_u3668)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_add__increasing ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_add__increasing-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3671) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3671), c_Groups_Ozero__class_Ozero(_u3671)), _u3672)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3671), _u3673), _u3674)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3671), _u3673), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3671), _u3672), _u3674))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_add__increasing2 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_add__increasing2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3675) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3675), c_Groups_Ozero__class_Ozero(_u3675)), _u3676)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3675), _u3677), _u3678)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3675), _u3677), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3675), _u3678), _u3676))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_add__nonpos__nonpos ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_add__nonpos__nonpos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3679) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3679), _u3680), c_Groups_Ozero__class_Ozero(_u3679))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3679), _u3681), c_Groups_Ozero__class_Ozero(_u3679))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3679), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3679), _u3680), _u3681)), c_Groups_Ozero__class_Ozero(_u3679))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zero__le__square ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zero__le__square-1, axiom, ( ~class_Rings_Olinordered__ring(_u3682) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3682), c_Groups_Ozero__class_Ozero(_u3682)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3682), _u3683), _u3683))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zero__le__mult__iff ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zero__le__mult__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3684) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3684), c_Groups_Ozero__class_Ozero(_u3684)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3684), _u3685), _u3686))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3684), c_Groups_Ozero__class_Ozero(_u3684)), _u3685)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3684), _u3685), c_Groups_Ozero__class_Ozero(_u3684))) )).
% 20.36/20.53 cnf(fact_zero__le__mult__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3684) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3684), c_Groups_Ozero__class_Ozero(_u3684)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3684), _u3685), _u3686))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3684), c_Groups_Ozero__class_Ozero(_u3684)), _u3685)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3684), _u3686), c_Groups_Ozero__class_Ozero(_u3684))) )).
% 20.36/20.53 cnf(fact_zero__le__mult__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3684) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3684), c_Groups_Ozero__class_Ozero(_u3684)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3684), _u3685), _u3686))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3684), c_Groups_Ozero__class_Ozero(_u3684)), _u3686)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3684), _u3685), c_Groups_Ozero__class_Ozero(_u3684))) )).
% 20.36/20.53 cnf(fact_zero__le__mult__iff-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3684) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3684), c_Groups_Ozero__class_Ozero(_u3684)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3684), _u3685), _u3686))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3684), c_Groups_Ozero__class_Ozero(_u3684)), _u3686)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3684), _u3686), c_Groups_Ozero__class_Ozero(_u3684))) )).
% 20.36/20.53 cnf(fact_zero__le__mult__iff-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3684) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3684), c_Groups_Ozero__class_Ozero(_u3684)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3684), _u3685), _u3686))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3684), c_Groups_Ozero__class_Ozero(_u3684)), _u3685)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3684), c_Groups_Ozero__class_Ozero(_u3684)), _u3686)) )).
% 20.36/20.53 cnf(fact_zero__le__mult__iff-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3684) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3684), c_Groups_Ozero__class_Ozero(_u3684)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3684), _u3685), _u3686))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3684), _u3685), c_Groups_Ozero__class_Ozero(_u3684))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3684), _u3686), c_Groups_Ozero__class_Ozero(_u3684))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__le__0__iff ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__le__0__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3687) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3687), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3687), _u3688), _u3689)), c_Groups_Ozero__class_Ozero(_u3687))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3687), c_Groups_Ozero__class_Ozero(_u3687)), _u3688)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3687), _u3688), c_Groups_Ozero__class_Ozero(_u3687))) )).
% 20.36/20.53 cnf(fact_mult__le__0__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3687) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3687), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3687), _u3688), _u3689)), c_Groups_Ozero__class_Ozero(_u3687))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3687), c_Groups_Ozero__class_Ozero(_u3687)), _u3688)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3687), c_Groups_Ozero__class_Ozero(_u3687)), _u3689)) )).
% 20.36/20.53 cnf(fact_mult__le__0__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3687) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3687), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3687), _u3688), _u3689)), c_Groups_Ozero__class_Ozero(_u3687))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3687), _u3689), c_Groups_Ozero__class_Ozero(_u3687))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3687), _u3688), c_Groups_Ozero__class_Ozero(_u3687))) )).
% 20.36/20.53 cnf(fact_mult__le__0__iff-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3687) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3687), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3687), _u3688), _u3689)), c_Groups_Ozero__class_Ozero(_u3687))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3687), _u3689), c_Groups_Ozero__class_Ozero(_u3687))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3687), c_Groups_Ozero__class_Ozero(_u3687)), _u3689)) )).
% 20.36/20.53 cnf(fact_mult__le__0__iff-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3687) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3687), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3687), _u3688), _u3689)), c_Groups_Ozero__class_Ozero(_u3687))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3687), c_Groups_Ozero__class_Ozero(_u3687)), _u3688)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3687), _u3689), c_Groups_Ozero__class_Ozero(_u3687))) )).
% 20.36/20.53 cnf(fact_mult__le__0__iff-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3687) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3687), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3687), _u3688), _u3689)), c_Groups_Ozero__class_Ozero(_u3687))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3687), _u3688), c_Groups_Ozero__class_Ozero(_u3687))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3687), c_Groups_Ozero__class_Ozero(_u3687)), _u3689)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__nonneg__nonneg ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__nonneg__nonneg-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u3690) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3690), c_Groups_Ozero__class_Ozero(_u3690)), _u3691)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3690), c_Groups_Ozero__class_Ozero(_u3690)), _u3692)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3690), c_Groups_Ozero__class_Ozero(_u3690)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3690), _u3691), _u3692))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__nonneg__nonpos ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__nonneg__nonpos-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u3693) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3693), c_Groups_Ozero__class_Ozero(_u3693)), _u3694)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3693), _u3695), c_Groups_Ozero__class_Ozero(_u3693))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3693), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3693), _u3694), _u3695)), c_Groups_Ozero__class_Ozero(_u3693))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__nonneg__nonpos2 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__nonneg__nonpos2-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u3696) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3696), c_Groups_Ozero__class_Ozero(_u3696)), _u3697)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3696), _u3698), c_Groups_Ozero__class_Ozero(_u3696))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3696), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3696), _u3698), _u3697)), c_Groups_Ozero__class_Ozero(_u3696))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__nonpos__nonneg ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__nonpos__nonneg-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u3699) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3699), _u3700), c_Groups_Ozero__class_Ozero(_u3699))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3699), c_Groups_Ozero__class_Ozero(_u3699)), _u3701)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3699), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3699), _u3700), _u3701)), c_Groups_Ozero__class_Ozero(_u3699))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__nonpos__nonpos ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__nonpos__nonpos-1, axiom, ( ~class_Rings_Oordered__ring(_u3702) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3702), _u3703), c_Groups_Ozero__class_Ozero(_u3702))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3702), _u3704), c_Groups_Ozero__class_Ozero(_u3702))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3702), c_Groups_Ozero__class_Ozero(_u3702)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3702), _u3703), _u3704))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__right__mono ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__right__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u3705) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3705), _u3706), _u3707)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3705), c_Groups_Ozero__class_Ozero(_u3705)), _u3708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3705), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3705), _u3706), _u3708)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3705), _u3707), _u3708))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__left__mono ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__left__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u3709) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3709), _u3710), _u3711)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3709), c_Groups_Ozero__class_Ozero(_u3709)), _u3712)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3709), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3709), _u3712), _u3710)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3709), _u3712), _u3711))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_comm__mult__left__mono ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_comm__mult__left__mono-1, axiom, ( ~class_Rings_Oordered__comm__semiring(_u3713) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3713), _u3714), _u3715)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3713), c_Groups_Ozero__class_Ozero(_u3713)), _u3716)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3713), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3713), _u3716), _u3714)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3713), _u3716), _u3715))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__right__mono__neg ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__right__mono__neg-1, axiom, ( ~class_Rings_Oordered__ring(_u3717) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3717), _u3718), _u3719)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3717), _u3720), c_Groups_Ozero__class_Ozero(_u3717))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3717), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3717), _u3719), _u3720)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3717), _u3718), _u3720))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__left__mono__neg ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__left__mono__neg-1, axiom, ( ~class_Rings_Oordered__ring(_u3721) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3721), _u3722), _u3723)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3721), _u3724), c_Groups_Ozero__class_Ozero(_u3721))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3721), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3721), _u3724), _u3723)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3721), _u3724), _u3722))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__mono_H ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__mono_H-1, axiom, ( ~class_Rings_Oordered__semiring(_u3725) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3725), _u3726), _u3727)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3725), _u3728), _u3729)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3725), c_Groups_Ozero__class_Ozero(_u3725)), _u3726)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3725), c_Groups_Ozero__class_Ozero(_u3725)), _u3728)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3725), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3725), _u3726), _u3728)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3725), _u3727), _u3729))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__mono ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u3730) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3730), _u3731), _u3732)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3730), _u3733), _u3734)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3730), c_Groups_Ozero__class_Ozero(_u3730)), _u3732)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3730), c_Groups_Ozero__class_Ozero(_u3730)), _u3733)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3730), _u3731), _u3733)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3730), _u3732), _u3734))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_split__mult__pos__le ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_split__mult__pos__le-1, axiom, ( ~class_Rings_Oordered__ring(_u3735) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3735), c_Groups_Ozero__class_Ozero(_u3735)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3735), _u3736), _u3737))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3735), c_Groups_Ozero__class_Ozero(_u3735)), _u3736)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3735), c_Groups_Ozero__class_Ozero(_u3735)), _u3737)) )).
% 20.36/20.53 cnf(fact_split__mult__pos__le-2, axiom, ( ~class_Rings_Oordered__ring(_u3735) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3735), c_Groups_Ozero__class_Ozero(_u3735)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3735), _u3736), _u3737))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3735), _u3736), c_Groups_Ozero__class_Ozero(_u3735))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3735), _u3737), c_Groups_Ozero__class_Ozero(_u3735))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_split__mult__neg__le ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_split__mult__neg__le-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u3738) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3738), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3738), _u3739), _u3740)), c_Groups_Ozero__class_Ozero(_u3738))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3738), c_Groups_Ozero__class_Ozero(_u3738)), _u3739)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3738), _u3740), c_Groups_Ozero__class_Ozero(_u3738))) )).
% 20.36/20.53 cnf(fact_split__mult__neg__le-2, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u3738) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3738), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3738), _u3739), _u3740)), c_Groups_Ozero__class_Ozero(_u3738))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3738), _u3739), c_Groups_Ozero__class_Ozero(_u3738))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3738), c_Groups_Ozero__class_Ozero(_u3738)), _u3740)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_pos__add__strict ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_pos__add__strict-1, axiom, ( ~class_Rings_Olinordered__semidom(_u3741) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3741), c_Groups_Ozero__class_Ozero(_u3741)), _u3742)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3741), _u3743), _u3744)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3741), _u3743), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3741), _u3742), _u3744))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zero__less__double__add__iff__zero__less__single__add ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zero__less__double__add__iff__zero__less__single__add-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u3745) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3745), c_Groups_Ozero__class_Ozero(_u3745)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3745), _u3746), _u3746))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3745), c_Groups_Ozero__class_Ozero(_u3745)), _u3746)) )).
% 20.36/20.53 cnf(fact_zero__less__double__add__iff__zero__less__single__add-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u3745) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3745), c_Groups_Ozero__class_Ozero(_u3745)), _u3746)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3745), c_Groups_Ozero__class_Ozero(_u3745)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3745), _u3746), _u3746))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_double__add__less__zero__iff__single__add__less__zero ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_double__add__less__zero__iff__single__add__less__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u3747) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3747), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3747), _u3748), _u3748)), c_Groups_Ozero__class_Ozero(_u3747))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3747), _u3748), c_Groups_Ozero__class_Ozero(_u3747))) )).
% 20.36/20.53 cnf(fact_double__add__less__zero__iff__single__add__less__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u3747) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3747), _u3748), c_Groups_Ozero__class_Ozero(_u3747))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3747), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3747), _u3748), _u3748)), c_Groups_Ozero__class_Ozero(_u3747))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_add__pos__pos ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_add__pos__pos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3749) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3749), c_Groups_Ozero__class_Ozero(_u3749)), _u3750)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3749), c_Groups_Ozero__class_Ozero(_u3749)), _u3751)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3749), c_Groups_Ozero__class_Ozero(_u3749)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3749), _u3750), _u3751))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_add__neg__neg ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_add__neg__neg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3752) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3752), _u3753), c_Groups_Ozero__class_Ozero(_u3752))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3752), _u3754), c_Groups_Ozero__class_Ozero(_u3752))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3752), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3752), _u3753), _u3754)), c_Groups_Ozero__class_Ozero(_u3752))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__strict__left__mono__neg ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__strict__left__mono__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3755) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3755), _u3756), _u3757)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3755), _u3758), c_Groups_Ozero__class_Ozero(_u3755))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3755), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3755), _u3758), _u3757)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3755), _u3758), _u3756))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__strict__right__mono__neg ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__strict__right__mono__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3759) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3759), _u3760), _u3761)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3759), _u3762), c_Groups_Ozero__class_Ozero(_u3759))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3759), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3759), _u3761), _u3762)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3759), _u3760), _u3762))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_comm__mult__strict__left__mono ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_comm__mult__strict__left__mono-1, axiom, ( ~class_Rings_Olinordered__comm__semiring__strict(_u3763) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3763), _u3764), _u3765)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3763), c_Groups_Ozero__class_Ozero(_u3763)), _u3766)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3763), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3763), _u3766), _u3764)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3763), _u3766), _u3765))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__strict__left__mono ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__strict__left__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u3767) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3767), _u3768), _u3769)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3767), c_Groups_Ozero__class_Ozero(_u3767)), _u3770)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3767), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3767), _u3770), _u3768)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3767), _u3770), _u3769))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__strict__right__mono ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__strict__right__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u3771) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3771), _u3772), _u3773)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3771), c_Groups_Ozero__class_Ozero(_u3771)), _u3774)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3771), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3771), _u3772), _u3774)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3771), _u3773), _u3774))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__neg__neg ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__neg__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3775) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3775), _u3776), c_Groups_Ozero__class_Ozero(_u3775))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3775), _u3777), c_Groups_Ozero__class_Ozero(_u3775))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3775), c_Groups_Ozero__class_Ozero(_u3775)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3775), _u3776), _u3777))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__neg__pos ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__neg__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u3778) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3778), _u3779), c_Groups_Ozero__class_Ozero(_u3778))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3778), c_Groups_Ozero__class_Ozero(_u3778)), _u3780)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3778), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3778), _u3779), _u3780)), c_Groups_Ozero__class_Ozero(_u3778))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__less__cancel__left__neg ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__less__cancel__left__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3781) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3781), _u3782), c_Groups_Ozero__class_Ozero(_u3781))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3781), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3781), _u3782), _u3783)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3781), _u3782), _u3784))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3781), _u3784), _u3783)) )).
% 20.36/20.53 cnf(fact_mult__less__cancel__left__neg-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3781) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3781), _u3782), c_Groups_Ozero__class_Ozero(_u3781))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3781), _u3784), _u3783)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3781), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3781), _u3782), _u3783)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3781), _u3782), _u3784))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zero__less__mult__pos2 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zero__less__mult__pos2-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u3785) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3785), c_Groups_Ozero__class_Ozero(_u3785)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3785), _u3786), _u3787))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3785), c_Groups_Ozero__class_Ozero(_u3785)), _u3787)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3785), c_Groups_Ozero__class_Ozero(_u3785)), _u3786)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zero__less__mult__pos ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zero__less__mult__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u3788) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3788), c_Groups_Ozero__class_Ozero(_u3788)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3788), _u3789), _u3790))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3788), c_Groups_Ozero__class_Ozero(_u3788)), _u3789)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3788), c_Groups_Ozero__class_Ozero(_u3788)), _u3790)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__pos__neg2 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__pos__neg2-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u3791) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3791), c_Groups_Ozero__class_Ozero(_u3791)), _u3792)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3791), _u3793), c_Groups_Ozero__class_Ozero(_u3791))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3791), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3791), _u3793), _u3792)), c_Groups_Ozero__class_Ozero(_u3791))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__pos__neg ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__pos__neg-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u3794) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3794), c_Groups_Ozero__class_Ozero(_u3794)), _u3795)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3794), _u3796), c_Groups_Ozero__class_Ozero(_u3794))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3794), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3794), _u3795), _u3796)), c_Groups_Ozero__class_Ozero(_u3794))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__pos__pos ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__pos__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u3797) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3797), c_Groups_Ozero__class_Ozero(_u3797)), _u3798)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3797), c_Groups_Ozero__class_Ozero(_u3797)), _u3799)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3797), c_Groups_Ozero__class_Ozero(_u3797)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3797), _u3798), _u3799))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__less__cancel__left__pos ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__less__cancel__left__pos-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3800) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3800), c_Groups_Ozero__class_Ozero(_u3800)), _u3801)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3800), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3800), _u3801), _u3802)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3800), _u3801), _u3803))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3800), _u3802), _u3803)) )).
% 20.36/20.53 cnf(fact_mult__less__cancel__left__pos-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3800) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3800), c_Groups_Ozero__class_Ozero(_u3800)), _u3801)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3800), _u3802), _u3803)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3800), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3800), _u3801), _u3802)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3800), _u3801), _u3803))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__less__cancel__left__disj ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__less__cancel__left__disj-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3804) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3804), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3804), _u3805), _u3806)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3804), _u3805), _u3807))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3804), c_Groups_Ozero__class_Ozero(_u3804)), _u3805)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3804), _u3805), c_Groups_Ozero__class_Ozero(_u3804))) )).
% 20.36/20.53 cnf(fact_mult__less__cancel__left__disj-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3804) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3804), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3804), _u3805), _u3806)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3804), _u3805), _u3807))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3804), c_Groups_Ozero__class_Ozero(_u3804)), _u3805)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3804), _u3807), _u3806)) )).
% 20.36/20.53 cnf(fact_mult__less__cancel__left__disj-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3804) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3804), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3804), _u3805), _u3806)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3804), _u3805), _u3807))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3804), _u3806), _u3807)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3804), _u3805), c_Groups_Ozero__class_Ozero(_u3804))) )).
% 20.36/20.53 cnf(fact_mult__less__cancel__left__disj-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3804) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3804), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3804), _u3805), _u3806)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3804), _u3805), _u3807))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3804), _u3806), _u3807)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3804), _u3807), _u3806)) )).
% 20.36/20.53 cnf(fact_mult__less__cancel__left__disj-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3804) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3804), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3804), _u3805), _u3806)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3804), _u3805), _u3807))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3804), c_Groups_Ozero__class_Ozero(_u3804)), _u3805)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3804), _u3806), _u3807)) )).
% 20.36/20.53 cnf(fact_mult__less__cancel__left__disj-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3804) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3804), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3804), _u3805), _u3806)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3804), _u3805), _u3807))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3804), _u3805), c_Groups_Ozero__class_Ozero(_u3804))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3804), _u3807), _u3806)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__less__cancel__right__disj ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__less__cancel__right__disj-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3808) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3808), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3808), _u3809), _u3810)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3808), _u3811), _u3810))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3808), c_Groups_Ozero__class_Ozero(_u3808)), _u3810)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3808), _u3810), c_Groups_Ozero__class_Ozero(_u3808))) )).
% 20.36/20.53 cnf(fact_mult__less__cancel__right__disj-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3808) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3808), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3808), _u3809), _u3810)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3808), _u3811), _u3810))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3808), c_Groups_Ozero__class_Ozero(_u3808)), _u3810)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3808), _u3811), _u3809)) )).
% 20.36/20.53 cnf(fact_mult__less__cancel__right__disj-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3808) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3808), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3808), _u3809), _u3810)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3808), _u3811), _u3810))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3808), _u3809), _u3811)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3808), _u3810), c_Groups_Ozero__class_Ozero(_u3808))) )).
% 20.36/20.53 cnf(fact_mult__less__cancel__right__disj-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3808) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3808), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3808), _u3809), _u3810)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3808), _u3811), _u3810))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3808), _u3809), _u3811)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3808), _u3811), _u3809)) )).
% 20.36/20.53 cnf(fact_mult__less__cancel__right__disj-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3808) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3808), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3808), _u3809), _u3810)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3808), _u3811), _u3810))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3808), c_Groups_Ozero__class_Ozero(_u3808)), _u3810)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3808), _u3809), _u3811)) )).
% 20.36/20.53 cnf(fact_mult__less__cancel__right__disj-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3808) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3808), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3808), _u3809), _u3810)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3808), _u3811), _u3810))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3808), _u3810), c_Groups_Ozero__class_Ozero(_u3808))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3808), _u3811), _u3809)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_not__square__less__zero ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_not__square__less__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u3812) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3812), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3812), _u3813), _u3813)), c_Groups_Ozero__class_Ozero(_u3812))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_le__iff__diff__le__0 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_le__iff__diff__le__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3814) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3814), _u3815), _u3816)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3814), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3814), _u3815), _u3816)), c_Groups_Ozero__class_Ozero(_u3814))) )).
% 20.36/20.53 cnf(fact_le__iff__diff__le__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3814) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3814), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3814), _u3815), _u3816)), c_Groups_Ozero__class_Ozero(_u3814))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3814), _u3815), _u3816)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_less__iff__diff__less__0 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_less__iff__diff__less__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3817) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3817), _u3818), _u3819)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3817), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3817), _u3818), _u3819)), c_Groups_Ozero__class_Ozero(_u3817))) )).
% 20.36/20.53 cnf(fact_less__iff__diff__less__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3817) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3817), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3817), _u3818), _u3819)), c_Groups_Ozero__class_Ozero(_u3817))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3817), _u3818), _u3819)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_sum__squares__eq__zero__iff ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_sum__squares__eq__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3820) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3820), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3820), _u3821), _u3821)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3820), _u3822), _u3822)) != c_Groups_Ozero__class_Ozero(_u3820)) | ( _u3821 = c_Groups_Ozero__class_Ozero(_u3820)) )).
% 20.36/20.53 cnf(fact_sum__squares__eq__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3820) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3820), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3820), _u3821), _u3821)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3820), _u3822), _u3822)) != c_Groups_Ozero__class_Ozero(_u3820)) | ( _u3822 = c_Groups_Ozero__class_Ozero(_u3820)) )).
% 20.36/20.53 cnf(fact_sum__squares__eq__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3820) | ( _u3821 != c_Groups_Ozero__class_Ozero(_u3820)) | ( _u3822 != c_Groups_Ozero__class_Ozero(_u3820)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3820), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3820), _u3821), _u3821)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3820), _u3822), _u3822)) = c_Groups_Ozero__class_Ozero(_u3820)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_add__scale__eq__noteq ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_add__scale__eq__noteq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u3823) | ( _u3824 = c_Groups_Ozero__class_Ozero(_u3823)) | ( _u3825 != _u3826) | ( _u3827 = _u3828) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3823), _u3825), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3823), _u3824), _u3827)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3823), _u3826), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3823), _u3824), _u3828))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_not__one__le__zero ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_not__one__le__zero-1, axiom, ( ~class_Rings_Olinordered__semidom(_u3829) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3829), c_Groups_Oone__class_Oone(_u3829)), c_Groups_Ozero__class_Ozero(_u3829))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zero__le__one ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zero__le__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u3830) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3830), c_Groups_Ozero__class_Ozero(_u3830)), c_Groups_Oone__class_Oone(_u3830))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zero__less__one ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zero__less__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u3831) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3831), c_Groups_Ozero__class_Ozero(_u3831)), c_Groups_Oone__class_Oone(_u3831))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_not__one__less__zero ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_not__one__less__zero-1, axiom, ( ~class_Rings_Olinordered__semidom(_u3832) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3832), c_Groups_Oone__class_Oone(_u3832)), c_Groups_Ozero__class_Ozero(_u3832))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_setsum__empty ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_setsum__empty-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3833) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3834, _u3833), _u3835), c_Orderings_Obot__class_Obot(tc_fun(_u3834, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u3833)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_setsum_Oempty ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_setsum_Oempty-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3836) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3837, _u3836), _u3838), c_Orderings_Obot__class_Obot(tc_fun(_u3837, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u3836)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_setsum_Oinfinite ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_setsum_Oinfinite-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3839) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3840), _u3841)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3840, _u3839), _u3842), _u3841) = c_Groups_Ozero__class_Ozero(_u3839)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_setsum__infinite ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_setsum__infinite-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3843) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3844), _u3845)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3844, _u3843), _u3846), _u3845) = c_Groups_Ozero__class_Ozero(_u3843)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_setprod__zero__iff ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_setprod__zero__iff-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3849) | ~class_Rings_Ono__zero__divisors(_u3849) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3850), _u3851)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3850, _u3849), _u3852), _u3851) != c_Groups_Ozero__class_Ozero(_u3849)) | hBOOL(hAPP(hAPP(c_member(_u3850), skolem74(_u3852, _u3851, _u3850, _u3849)), _u3851)) )).
% 20.36/20.53 cnf(fact_setprod__zero__iff-2, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3849) | ~class_Rings_Ono__zero__divisors(_u3849) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3850), _u3851)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3850, _u3849), _u3852), _u3851) != c_Groups_Ozero__class_Ozero(_u3849)) | ( hAPP(_u3852, skolem74(_u3852, _u3851, _u3850, _u3849)) = c_Groups_Ozero__class_Ozero(_u3849)) )).
% 20.36/20.53 cnf(fact_setprod__zero__iff-3, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3849) | ~class_Rings_Ono__zero__divisors(_u3849) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3850), _u3851)) | ~hBOOL(hAPP(hAPP(c_member(_u3850), _u3848), _u3851)) | ( hAPP(_u3852, _u3848) != c_Groups_Ozero__class_Ozero(_u3849)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3850, _u3849), _u3852), _u3851) = c_Groups_Ozero__class_Ozero(_u3849)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_setprod__zero ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_setprod__zero-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3854) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3855), _u3856)) | ~hBOOL(hAPP(hAPP(c_member(_u3855), _u3853), _u3856)) | ( hAPP(_u3857, _u3853) != c_Groups_Ozero__class_Ozero(_u3854)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3855, _u3854), _u3857), _u3856) = c_Groups_Ozero__class_Ozero(_u3854)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_less__Suc__eq__0__disj ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_less__Suc__eq__0__disj-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3862), hAPP(c_Nat_OSuc, _u3864))) | ( _u3862 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3862 = hAPP(c_Nat_OSuc, skolem75(_u3864, _u3862))) )).
% 20.36/20.53 cnf(fact_less__Suc__eq__0__disj-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3862), hAPP(c_Nat_OSuc, _u3864))) | ( _u3862 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem75(_u3864, _u3862)), _u3864)) )).
% 20.36/20.53 cnf(fact_less__Suc__eq__0__disj-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3863), hAPP(c_Nat_OSuc, _u3865))) | ( _u3863 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53 cnf(fact_less__Suc__eq__0__disj-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3863), hAPP(c_Nat_OSuc, _u3865))) | ( _u3863 != hAPP(c_Nat_OSuc, _u3859)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3859), _u3865)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_less__Suc0 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_less__Suc0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3867), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) | ( _u3867 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53 cnf(fact_less__Suc0-2, axiom, ( ( _u3868 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3868), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_gr0__conv__Suc ( axiom ) converted to clauses:
% 20.36/20.53 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)), _u3872)) | ( _u3872 = hAPP(c_Nat_OSuc, skolem76(_u3872))) )).
% 20.36/20.53 cnf(fact_gr0__conv__Suc-2, axiom, ( ( _u3873 != hAPP(c_Nat_OSuc, _u3870)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3873)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_one__is__add ( axiom ) converted to clauses:
% 20.36/20.53 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), _u3876), _u3878)) | ( _u3876 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3876 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53 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), _u3876), _u3878)) | ( _u3876 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3878 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.53 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), _u3876), _u3878)) | ( _u3878 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3876 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53 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), _u3876), _u3878)) | ( _u3878 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3878 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.53 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), _u3877), _u3879)) | ( _u3877 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3879 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53 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), _u3877), _u3879)) | ( _u3877 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3879 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_add__is__1 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_add__is__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3882), _u3884) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3882 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3882 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53 cnf(fact_add__is__1-2, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3882), _u3884) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3882 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3884 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.53 cnf(fact_add__is__1-3, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3882), _u3884) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3884 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3882 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53 cnf(fact_add__is__1-4, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3882), _u3884) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3884 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3884 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.53 cnf(fact_add__is__1-5, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3883), _u3885) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3883 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3885 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53 cnf(fact_add__is__1-6, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3883), _u3885) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3883 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3885 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_add__gr__0 ( axiom ) converted to clauses:
% 20.36/20.53 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), _u3888), _u3890))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3888)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3890)) )).
% 20.36/20.53 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), _u3889), _u3891))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3889)) )).
% 20.36/20.53 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), _u3889), _u3891))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3891)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_card_Oempty ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_card_Oempty-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u3892), c_Orderings_Obot__class_Obot(tc_fun(_u3892, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_card__infinite ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_card__infinite-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u3893), _u3894)) | ( hAPP(c_Finite__Set_Ocard(_u3893), _u3894) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__eq__1__iff ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__eq__1__iff-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3897), _u3899) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3897 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.53 cnf(fact_mult__eq__1__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3897), _u3899) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3899 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.53 cnf(fact_mult__eq__1__iff-3, axiom, ( ( _u3898 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3900 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3898), _u3900) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zero__less__diff ( axiom ) converted to clauses:
% 20.36/20.53 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), _u3903), _u3905))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3905), _u3903)) )).
% 20.36/20.53 cnf(fact_zero__less__diff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3906), _u3904)) | 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), _u3904), _u3906))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_diff__less ( axiom ) converted to clauses:
% 20.36/20.53 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)), _u3907)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3908)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3908), _u3907)), _u3908)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_nat__0__less__mult__iff ( axiom ) converted to clauses:
% 20.36/20.53 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), _u3911), _u3913))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3911)) )).
% 20.36/20.53 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), _u3911), _u3913))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3913)) )).
% 20.36/20.53 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)), _u3912)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3914)) | 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), _u3912), _u3914))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__less__cancel1 ( axiom ) converted to clauses:
% 20.36/20.53 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), _u3918), _u3920)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3918), _u3922))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3918)) )).
% 20.36/20.53 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), _u3918), _u3920)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3918), _u3922))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3920), _u3922)) )).
% 20.36/20.53 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)), _u3919)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3921), _u3923)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3919), _u3921)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3919), _u3923))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__less__cancel2 ( axiom ) converted to clauses:
% 20.36/20.53 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), _u3927), _u3929)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3931), _u3929))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3929)) )).
% 20.36/20.53 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), _u3927), _u3929)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3931), _u3929))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3927), _u3931)) )).
% 20.36/20.53 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)), _u3930)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3928), _u3932)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3928), _u3930)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3932), _u3930))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__less__mono1 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__less__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3933), _u3934)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3935)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3933), _u3935)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3934), _u3935))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__less__mono2 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__less__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3936), _u3937)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3938)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3938), _u3936)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3938), _u3937))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_nat__mult__less__cancel1 ( axiom ) converted to clauses:
% 20.36/20.53 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)), _u3939)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3939), _u3940)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3939), _u3941))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3940), _u3941)) )).
% 20.36/20.53 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)), _u3939)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3940), _u3941)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3939), _u3940)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3939), _u3941))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_nat__mult__eq__cancel1 ( axiom ) converted to clauses:
% 20.36/20.53 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)), _u3942)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3942), _u3943) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3942), _u3944)) | ( _u3943 = _u3944) )).
% 20.36/20.53 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)), _u3942)) | ( _u3943 != _u3944) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3942), _u3943) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3942), _u3944)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_diff__add__0 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_diff__add__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3945), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3945), _u3946)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_diff__is__0__eq_H ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_diff__is__0__eq_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3947), _u3948)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3947), _u3948) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_diff__is__0__eq ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_diff__is__0__eq-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3951), _u3953) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3951), _u3953)) )).
% 20.36/20.53 cnf(fact_diff__is__0__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3952), _u3954)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3952), _u3954) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_One__nat__def ( axiom ) converted to clauses:
% 20.36/20.53 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))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__eq__self__implies__10 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__eq__self__implies__10-1, axiom, ( ( _u3955 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3955), _u3956)) | ( _u3956 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u3955 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_setsum__eq__0__iff ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_setsum__eq__0__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3959), _u3960)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3959, tc_Nat_Onat), _u3961), _u3960) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u3959), _u3957), _u3960)) | ( hAPP(_u3961, _u3957) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53 cnf(fact_setsum__eq__0__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3959), _u3960)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3959, tc_Nat_Onat), _u3961), _u3960) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u3959), skolem77(_u3961, _u3960, _u3959)), _u3960)) )).
% 20.36/20.53 cnf(fact_setsum__eq__0__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3959), _u3960)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3959, tc_Nat_Onat), _u3961), _u3960) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(_u3961, skolem77(_u3961, _u3960, _u3959)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_add__nonpos__neg ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_add__nonpos__neg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3962) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3962), _u3963), c_Groups_Ozero__class_Ozero(_u3962))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3962), _u3964), c_Groups_Ozero__class_Ozero(_u3962))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3962), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3962), _u3963), _u3964)), c_Groups_Ozero__class_Ozero(_u3962))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_add__neg__nonpos ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_add__neg__nonpos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3965) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3965), _u3966), c_Groups_Ozero__class_Ozero(_u3965))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3965), _u3967), c_Groups_Ozero__class_Ozero(_u3965))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3965), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3965), _u3966), _u3967)), c_Groups_Ozero__class_Ozero(_u3965))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_add__strict__increasing2 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_add__strict__increasing2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3968) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3968), c_Groups_Ozero__class_Ozero(_u3968)), _u3969)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3968), _u3970), _u3971)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3968), _u3970), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3968), _u3969), _u3971))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_add__strict__increasing ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_add__strict__increasing-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3972) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3972), c_Groups_Ozero__class_Ozero(_u3972)), _u3973)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3972), _u3974), _u3975)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3972), _u3974), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3972), _u3973), _u3975))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_add__nonneg__pos ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_add__nonneg__pos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3976) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3976), c_Groups_Ozero__class_Ozero(_u3976)), _u3977)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3976), c_Groups_Ozero__class_Ozero(_u3976)), _u3978)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3976), c_Groups_Ozero__class_Ozero(_u3976)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3976), _u3977), _u3978))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_add__pos__nonneg ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_add__pos__nonneg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3979) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3979), c_Groups_Ozero__class_Ozero(_u3979)), _u3980)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3979), c_Groups_Ozero__class_Ozero(_u3979)), _u3981)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3979), c_Groups_Ozero__class_Ozero(_u3979)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3979), _u3980), _u3981))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__le__cancel__left__pos ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__le__cancel__left__pos-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3982) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3982), c_Groups_Ozero__class_Ozero(_u3982)), _u3983)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3982), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3982), _u3983), _u3984)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3982), _u3983), _u3985))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3982), _u3984), _u3985)) )).
% 20.36/20.53 cnf(fact_mult__le__cancel__left__pos-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3982) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3982), c_Groups_Ozero__class_Ozero(_u3982)), _u3983)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3982), _u3984), _u3985)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3982), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3982), _u3983), _u3984)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3982), _u3983), _u3985))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__le__cancel__left__neg ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__le__cancel__left__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3986) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3986), _u3987), c_Groups_Ozero__class_Ozero(_u3986))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3986), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3986), _u3987), _u3988)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3986), _u3987), _u3989))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3986), _u3989), _u3988)) )).
% 20.36/20.53 cnf(fact_mult__le__cancel__left__neg-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3986) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3986), _u3987), c_Groups_Ozero__class_Ozero(_u3986))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3986), _u3989), _u3988)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3986), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3986), _u3987), _u3988)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3986), _u3987), _u3989))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__strict__mono ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__strict__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u3990) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3990), _u3991), _u3992)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3990), _u3993), _u3994)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3990), c_Groups_Ozero__class_Ozero(_u3990)), _u3992)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3990), c_Groups_Ozero__class_Ozero(_u3990)), _u3993)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3990), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3990), _u3991), _u3993)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3990), _u3992), _u3994))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__strict__mono_H ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__strict__mono_H-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u3995) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3995), _u3996), _u3997)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3995), _u3998), _u3999)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3995), c_Groups_Ozero__class_Ozero(_u3995)), _u3996)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3995), c_Groups_Ozero__class_Ozero(_u3995)), _u3998)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3995), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3995), _u3996), _u3998)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3995), _u3997), _u3999))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__less__le__imp__less ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__less__le__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u4000) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4000), _u4001), _u4002)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4000), _u4003), _u4004)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4000), c_Groups_Ozero__class_Ozero(_u4000)), _u4001)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4000), c_Groups_Ozero__class_Ozero(_u4000)), _u4003)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4000), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4000), _u4001), _u4003)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4000), _u4002), _u4004))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__le__less__imp__less ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__le__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u4005) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4005), _u4006), _u4007)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4005), _u4008), _u4009)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4005), c_Groups_Ozero__class_Ozero(_u4005)), _u4006)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4005), c_Groups_Ozero__class_Ozero(_u4005)), _u4008)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4005), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4005), _u4006), _u4008)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4005), _u4007), _u4009))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__right__less__imp__less ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__right__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring(_u4010) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4010), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4010), _u4011), _u4012)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4010), _u4013), _u4012))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4010), c_Groups_Ozero__class_Ozero(_u4010)), _u4012)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4010), _u4011), _u4013)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__less__imp__less__right ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__less__imp__less__right-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u4014) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4014), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4014), _u4015), _u4016)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4014), _u4017), _u4016))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4014), c_Groups_Ozero__class_Ozero(_u4014)), _u4016)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4014), _u4015), _u4017)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__left__less__imp__less ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__left__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring(_u4018) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4018), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4018), _u4019), _u4020)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4018), _u4019), _u4021))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4018), c_Groups_Ozero__class_Ozero(_u4018)), _u4019)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4018), _u4020), _u4021)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__less__imp__less__left ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__less__imp__less__left-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u4022) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4022), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4022), _u4023), _u4024)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4022), _u4023), _u4025))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4022), c_Groups_Ozero__class_Ozero(_u4022)), _u4023)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4022), _u4024), _u4025)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__right__le__imp__le ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__right__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u4026) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4026), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4026), _u4027), _u4028)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4026), _u4029), _u4028))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4026), c_Groups_Ozero__class_Ozero(_u4026)), _u4028)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4026), _u4027), _u4029)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__left__le__imp__le ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__left__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u4030) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4030), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4030), _u4031), _u4032)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4030), _u4031), _u4033))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4030), c_Groups_Ozero__class_Ozero(_u4030)), _u4031)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4030), _u4032), _u4033)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_sum__squares__ge__zero ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_sum__squares__ge__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u4034) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4034), c_Groups_Ozero__class_Ozero(_u4034)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4034), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4034), _u4035), _u4035)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4034), _u4036), _u4036)))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_sum__squares__le__zero__iff ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_sum__squares__le__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4037) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4037), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4037), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4037), _u4038), _u4038)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4037), _u4039), _u4039))), c_Groups_Ozero__class_Ozero(_u4037))) | ( _u4038 = c_Groups_Ozero__class_Ozero(_u4037)) )).
% 20.36/20.53 cnf(fact_sum__squares__le__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4037) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4037), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4037), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4037), _u4038), _u4038)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4037), _u4039), _u4039))), c_Groups_Ozero__class_Ozero(_u4037))) | ( _u4039 = c_Groups_Ozero__class_Ozero(_u4037)) )).
% 20.36/20.53 cnf(fact_sum__squares__le__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4037) | ( _u4038 != c_Groups_Ozero__class_Ozero(_u4037)) | ( _u4039 != c_Groups_Ozero__class_Ozero(_u4037)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4037), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4037), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4037), _u4038), _u4038)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4037), _u4039), _u4039))), c_Groups_Ozero__class_Ozero(_u4037))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_sum__squares__gt__zero__iff ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_sum__squares__gt__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4040) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4040), c_Groups_Ozero__class_Ozero(_u4040)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4040), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4040), _u4041), _u4041)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4040), _u4042), _u4042)))) | ( _u4041 != c_Groups_Ozero__class_Ozero(_u4040)) | ( _u4042 != c_Groups_Ozero__class_Ozero(_u4040)) )).
% 20.36/20.53 cnf(fact_sum__squares__gt__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4040) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4040), c_Groups_Ozero__class_Ozero(_u4040)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4040), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4040), _u4041), _u4041)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4040), _u4042), _u4042)))) | ( _u4041 = c_Groups_Ozero__class_Ozero(_u4040)) )).
% 20.36/20.53 cnf(fact_sum__squares__gt__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4040) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4040), c_Groups_Ozero__class_Ozero(_u4040)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4040), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4040), _u4041), _u4041)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4040), _u4042), _u4042)))) | ( _u4042 = c_Groups_Ozero__class_Ozero(_u4040)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_not__sum__squares__lt__zero ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_not__sum__squares__lt__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u4043) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4043), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4043), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4043), _u4044), _u4044)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4043), _u4045), _u4045))), c_Groups_Ozero__class_Ozero(_u4043))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__right__le__one__le ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__right__le__one__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u4046) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4046), c_Groups_Ozero__class_Ozero(_u4046)), _u4047)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4046), c_Groups_Ozero__class_Ozero(_u4046)), _u4048)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4046), _u4048), c_Groups_Oone__class_Oone(_u4046))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4046), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4046), _u4047), _u4048)), _u4047)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__left__le__one__le ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__left__le__one__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u4049) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4049), c_Groups_Ozero__class_Ozero(_u4049)), _u4050)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4049), c_Groups_Ozero__class_Ozero(_u4049)), _u4051)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4049), _u4051), c_Groups_Oone__class_Oone(_u4049))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4049), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4049), _u4051), _u4050)), _u4050)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zero__less__two ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zero__less__two-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4052) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), c_Groups_Ozero__class_Ozero(_u4052)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4052), c_Groups_Oone__class_Oone(_u4052)), c_Groups_Oone__class_Oone(_u4052)))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_card__eq__0__iff ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_card__eq__0__iff-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u4055), _u4057) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4057 = c_Orderings_Obot__class_Obot(tc_fun(_u4055, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4055), _u4057)) )).
% 20.36/20.53 cnf(fact_card__eq__0__iff-2, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u4056), _u4058) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4058 != c_Orderings_Obot__class_Obot(tc_fun(_u4056, tc_HOL_Obool))) )).
% 20.36/20.53 cnf(fact_card__eq__0__iff-3, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u4056), _u4058) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4056), _u4058)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_card__ge__0__finite ( axiom ) converted to clauses:
% 20.36/20.53 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(_u4059), _u4060))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4059), _u4060)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_Suc__pred ( axiom ) converted to clauses:
% 20.36/20.53 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)), _u4061)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4061), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = _u4061) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_diff__Suc__less ( axiom ) converted to clauses:
% 20.36/20.53 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)), _u4062)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4062), hAPP(c_Nat_OSuc, _u4063))), _u4062)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_n__less__m__mult__n ( axiom ) converted to clauses:
% 20.36/20.53 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))), _u4064)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4065)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4064), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4065), _u4064))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_n__less__n__mult__m ( axiom ) converted to clauses:
% 20.36/20.53 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))), _u4066)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4067)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4066), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4066), _u4067))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_one__less__mult ( axiom ) converted to clauses:
% 20.36/20.53 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))), _u4068)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4069)) | 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), _u4069), _u4068))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_nat__diff__split__asm ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_nat__diff__split__asm-1, axiom, ( ~hBOOL(hAPP(_u4075, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4077), _u4079))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4077), _u4079)) | hBOOL(hAPP(_u4075, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.53 cnf(fact_nat__diff__split__asm-2, axiom, ( ~hBOOL(hAPP(_u4075, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4077), _u4079))) | ( _u4077 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4079), _u4070)) | hBOOL(hAPP(_u4075, _u4070)) )).
% 20.36/20.53 cnf(fact_nat__diff__split__asm-3, axiom, ( hBOOL(hAPP(_u4076, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4078), _u4080))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4078), _u4080)) | ( _u4078 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4080), skolem78(_u4080, _u4078, _u4076))) )).
% 20.36/20.53 cnf(fact_nat__diff__split__asm-4, axiom, ( hBOOL(hAPP(_u4076, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4078), _u4080))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4078), _u4080)) | ~hBOOL(hAPP(_u4076, skolem78(_u4080, _u4078, _u4076))) )).
% 20.36/20.53 cnf(fact_nat__diff__split__asm-5, axiom, ( hBOOL(hAPP(_u4076, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4078), _u4080))) | ~hBOOL(hAPP(_u4076, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4078 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4080), skolem78(_u4080, _u4078, _u4076))) )).
% 20.36/20.53 cnf(fact_nat__diff__split__asm-6, axiom, ( hBOOL(hAPP(_u4076, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4078), _u4080))) | ~hBOOL(hAPP(_u4076, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u4076, skolem78(_u4080, _u4078, _u4076))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_nat__diff__split ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_nat__diff__split-1, axiom, ( ~hBOOL(hAPP(_u4086, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4088), _u4090))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4088), _u4090)) | hBOOL(hAPP(_u4086, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.53 cnf(fact_nat__diff__split-2, axiom, ( ~hBOOL(hAPP(_u4086, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4088), _u4090))) | ( _u4088 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4090), _u4081)) | hBOOL(hAPP(_u4086, _u4081)) )).
% 20.36/20.53 cnf(fact_nat__diff__split-3, axiom, ( hBOOL(hAPP(_u4087, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4089), _u4091))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4089), _u4091)) | ( _u4089 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4091), skolem79(_u4091, _u4089, _u4087))) )).
% 20.36/20.53 cnf(fact_nat__diff__split-4, axiom, ( hBOOL(hAPP(_u4087, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4089), _u4091))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4089), _u4091)) | ~hBOOL(hAPP(_u4087, skolem79(_u4091, _u4089, _u4087))) )).
% 20.36/20.53 cnf(fact_nat__diff__split-5, axiom, ( hBOOL(hAPP(_u4087, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4089), _u4091))) | ~hBOOL(hAPP(_u4087, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4089 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4091), skolem79(_u4091, _u4089, _u4087))) )).
% 20.36/20.53 cnf(fact_nat__diff__split-6, axiom, ( hBOOL(hAPP(_u4087, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4089), _u4091))) | ~hBOOL(hAPP(_u4087, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u4087, skolem79(_u4091, _u4089, _u4087))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_one__le__mult__iff ( axiom ) converted to clauses:
% 20.36/20.53 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), _u4094), _u4096))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4094)) )).
% 20.36/20.53 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), _u4094), _u4096))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4096)) )).
% 20.36/20.53 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))), _u4095)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4097)) | 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), _u4095), _u4097))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_nat__mult__le__cancel1 ( axiom ) converted to clauses:
% 20.36/20.53 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)), _u4098)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4098), _u4099)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4098), _u4100))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4099), _u4100)) )).
% 20.36/20.53 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)), _u4098)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4099), _u4100)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4098), _u4099)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4098), _u4100))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__le__cancel1 ( axiom ) converted to clauses:
% 20.36/20.53 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), _u4104), _u4106)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4104), _u4108))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4104)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4106), _u4108)) )).
% 20.36/20.53 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), _u4105), _u4107)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4105), _u4109))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4105)) )).
% 20.36/20.53 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), _u4105), _u4107)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4105), _u4109))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4107), _u4109)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__le__cancel2 ( axiom ) converted to clauses:
% 20.36/20.53 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), _u4113), _u4115)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4117), _u4115))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4115)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4113), _u4117)) )).
% 20.36/20.53 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), _u4114), _u4116)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4118), _u4116))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4116)) )).
% 20.36/20.53 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), _u4114), _u4116)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4118), _u4116))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4114), _u4118)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_setsum__eq__Suc0__iff ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_setsum__eq__Suc0__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4123), _u4124)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4123, tc_Nat_Onat), _u4125), _u4124) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u4123), skolem80(_u4125, _u4124, _u4123)), _u4124)) )).
% 20.36/20.53 cnf(fact_setsum__eq__Suc0__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4123), _u4124)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4123, tc_Nat_Onat), _u4125), _u4124) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u4125, skolem80(_u4125, _u4124, _u4123)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.53 cnf(fact_setsum__eq__Suc0__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4123), _u4124)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4123, tc_Nat_Onat), _u4125), _u4124) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u4123), _u4119), _u4124)) | ( skolem80(_u4125, _u4124, _u4123) = _u4119) | ( hAPP(_u4125, _u4119) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53 cnf(fact_setsum__eq__Suc0__iff-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4123), _u4124)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4123, tc_Nat_Onat), _u4125), _u4124) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u4123), _u4122), _u4124)) | ( hAPP(_u4125, _u4122) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u4123), skolem81(_u4125, _u4124, _u4123, _u4122)), _u4124)) )).
% 20.36/20.53 cnf(fact_setsum__eq__Suc0__iff-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4123), _u4124)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4123, tc_Nat_Onat), _u4125), _u4124) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u4123), _u4122), _u4124)) | ( hAPP(_u4125, _u4122) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4122 != skolem81(_u4125, _u4124, _u4123, _u4122)) )).
% 20.36/20.53 cnf(fact_setsum__eq__Suc0__iff-6, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4123), _u4124)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4123, tc_Nat_Onat), _u4125), _u4124) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u4123), _u4122), _u4124)) | ( hAPP(_u4125, _u4122) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u4125, skolem81(_u4125, _u4124, _u4123, _u4122)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_setsum__eq__1__iff ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_setsum__eq__1__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4130), _u4131)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4130, tc_Nat_Onat), _u4132), _u4131) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u4130), skolem82(_u4132, _u4131, _u4130)), _u4131)) )).
% 20.36/20.53 cnf(fact_setsum__eq__1__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4130), _u4131)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4130, tc_Nat_Onat), _u4132), _u4131) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u4132, skolem82(_u4132, _u4131, _u4130)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 20.36/20.53 cnf(fact_setsum__eq__1__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4130), _u4131)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4130, tc_Nat_Onat), _u4132), _u4131) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u4130), _u4126), _u4131)) | ( skolem82(_u4132, _u4131, _u4130) = _u4126) | ( hAPP(_u4132, _u4126) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53 cnf(fact_setsum__eq__1__iff-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4130), _u4131)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4130, tc_Nat_Onat), _u4132), _u4131) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u4130), _u4129), _u4131)) | ( hAPP(_u4132, _u4129) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u4130), skolem83(_u4132, _u4131, _u4130, _u4129)), _u4131)) )).
% 20.36/20.53 cnf(fact_setsum__eq__1__iff-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4130), _u4131)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4130, tc_Nat_Onat), _u4132), _u4131) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u4130), _u4129), _u4131)) | ( hAPP(_u4132, _u4129) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u4129 != skolem83(_u4132, _u4131, _u4130, _u4129)) )).
% 20.36/20.53 cnf(fact_setsum__eq__1__iff-6, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4130), _u4131)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4130, tc_Nat_Onat), _u4132), _u4131) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u4130), _u4129), _u4131)) | ( hAPP(_u4132, _u4129) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u4132, skolem83(_u4132, _u4131, _u4130, _u4129)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_setprod__pos__nat__iff ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_setprod__pos__nat__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4135), _u4136)) | ~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(_u4135, tc_Nat_Onat), _u4137), _u4136))) | ~hBOOL(hAPP(hAPP(c_member(_u4135), _u4133), _u4136)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u4137, _u4133))) )).
% 20.36/20.53 cnf(fact_setprod__pos__nat__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4135), _u4136)) | 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(_u4135, tc_Nat_Onat), _u4137), _u4136))) | hBOOL(hAPP(hAPP(c_member(_u4135), skolem84(_u4137, _u4136, _u4135)), _u4136)) )).
% 20.36/20.53 cnf(fact_setprod__pos__nat__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4135), _u4136)) | 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(_u4135, tc_Nat_Onat), _u4137), _u4136))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u4137, skolem84(_u4137, _u4136, _u4135)))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_convex__bound__le ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_convex__bound__le-1, axiom, ( ~class_Rings_Olinordered__semiring__1(_u4138) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4138), _u4139), _u4140)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4138), _u4141), _u4140)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4138), c_Groups_Ozero__class_Ozero(_u4138)), _u4142)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4138), c_Groups_Ozero__class_Ozero(_u4138)), _u4143)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4138), _u4142), _u4143) != c_Groups_Oone__class_Oone(_u4138)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4138), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4138), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4138), _u4142), _u4139)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4138), _u4143), _u4141))), _u4140)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_card__gt__0__iff ( axiom ) converted to clauses:
% 20.36/20.53 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(_u4146), _u4148))) | ( _u4148 != c_Orderings_Obot__class_Obot(tc_fun(_u4146, tc_HOL_Obool))) )).
% 20.36/20.53 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(_u4146), _u4148))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4146), _u4148)) )).
% 20.36/20.53 cnf(fact_card__gt__0__iff-3, axiom, ( ( _u4149 = c_Orderings_Obot__class_Obot(tc_fun(_u4147, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4147), _u4149)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u4147), _u4149))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_setsum_OF__eq ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_setsum_OF__eq-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u4150) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4151), _u4152)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4151, _u4150), _u4153), _u4152) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4150, _u4151, c_Groups_Oplus__class_Oplus(_u4150)), _u4153), c_Groups_Ozero__class_Ozero(_u4150)), _u4152)) )).
% 20.36/20.53 cnf(fact_setsum_OF__eq-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u4150) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4151), _u4152)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4151, _u4150), _u4153), _u4152) = c_Groups_Ozero__class_Ozero(_u4150)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_setsum_Oeq__fold ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_setsum_Oeq__fold-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u4154) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4155), _u4156)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4155, _u4154), _u4157), _u4156) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4154, _u4155, c_Groups_Oplus__class_Oplus(_u4154)), _u4157), c_Groups_Ozero__class_Ozero(_u4154)), _u4156)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_Suc__pred_H ( axiom ) converted to clauses:
% 20.36/20.53 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)), _u4158)) | ( _u4158 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4158), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_Suc__diff__1 ( axiom ) converted to clauses:
% 20.36/20.53 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)), _u4159)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4159), c_Groups_Oone__class_Oone(tc_Nat_Onat))) = _u4159) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_add__eq__if ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_add__eq__if-1, axiom, ( ( _u4162 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4162), _u4164) = _u4164) )).
% 20.36/20.53 cnf(fact_add__eq__if-2, axiom, ( ( _u4163 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4163), _u4165) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4163), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u4165))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__eq__if ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__eq__if-1, axiom, ( ( _u4168 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4168), _u4170) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53 cnf(fact_mult__eq__if-2, axiom, ( ( _u4169 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4169), _u4171) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4171), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4169), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u4171))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_even__less__0__iff ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_even__less__0__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u4172) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4172), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4172), _u4173), _u4173)), c_Groups_Ozero__class_Ozero(_u4172))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4172), _u4173), c_Groups_Ozero__class_Ozero(_u4172))) )).
% 20.36/20.53 cnf(fact_even__less__0__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u4172) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4172), _u4173), c_Groups_Ozero__class_Ozero(_u4172))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4172), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4172), _u4173), _u4173)), c_Groups_Ozero__class_Ozero(_u4172))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_setsum__mono2 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_setsum__mono2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u4175) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4176), _u4177)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4176, tc_HOL_Obool)), _u4178), _u4177)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4175), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4176, _u4175), _u4179), _u4178)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4176, _u4175), _u4179), _u4177))) | hBOOL(hAPP(hAPP(c_member(_u4176), skolem85(_u4179, _u4178, _u4177, _u4176, _u4175)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4176, tc_HOL_Obool)), _u4177), _u4178))) )).
% 20.36/20.53 cnf(fact_setsum__mono2-2, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u4175) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4176), _u4177)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4176, tc_HOL_Obool)), _u4178), _u4177)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4175), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4176, _u4175), _u4179), _u4178)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4176, _u4175), _u4179), _u4177))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4175), c_Groups_Ozero__class_Ozero(_u4175)), hAPP(_u4179, skolem85(_u4179, _u4178, _u4177, _u4176, _u4175)))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_triple_Osize_I1_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_triple_Osize_I1_J-1, axiom, ( ( c_Hoare__Mirabelle_Otriple_Otriple__size(_u4180, _u4181, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u4180), _u4182), _u4183), _u4184)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_Plus__eq__empty__conv ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_Plus__eq__empty__conv-1, axiom, ( ( c_Sum__Type_OPlus(_u4189, _u4191, _u4193, _u4195) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u4189, _u4191), tc_HOL_Obool))) | ( _u4193 = c_Orderings_Obot__class_Obot(tc_fun(_u4189, tc_HOL_Obool))) )).
% 20.36/20.53 cnf(fact_Plus__eq__empty__conv-2, axiom, ( ( c_Sum__Type_OPlus(_u4189, _u4191, _u4193, _u4195) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u4189, _u4191), tc_HOL_Obool))) | ( _u4195 = c_Orderings_Obot__class_Obot(tc_fun(_u4191, tc_HOL_Obool))) )).
% 20.36/20.53 cnf(fact_Plus__eq__empty__conv-3, axiom, ( ( _u4194 != c_Orderings_Obot__class_Obot(tc_fun(_u4190, tc_HOL_Obool))) | ( _u4196 != c_Orderings_Obot__class_Obot(tc_fun(_u4192, tc_HOL_Obool))) | ( c_Sum__Type_OPlus(_u4190, _u4192, _u4194, _u4196) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u4190, _u4192), tc_HOL_Obool))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_card_Ounion__inter__neutral ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_card_Ounion__inter__neutral-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4198), _u4199)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4198), _u4200)) | ( hAPP(c_Finite__Set_Ocard(_u4198), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4198, tc_HOL_Obool)), _u4199), _u4200)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4198), _u4199)), hAPP(c_Finite__Set_Ocard(_u4198), _u4200))) | hBOOL(hAPP(hAPP(c_member(_u4198), skolem86(_u4200, _u4199, _u4198)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4198, tc_HOL_Obool)), _u4199), _u4200))) )).
% 20.36/20.53 cnf(fact_card_Ounion__inter__neutral-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4198), _u4199)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4198), _u4200)) | ( hAPP(c_Finite__Set_Ocard(_u4198), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4198, tc_HOL_Obool)), _u4199), _u4200)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4198), _u4199)), hAPP(c_Finite__Set_Ocard(_u4198), _u4200))) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_setsum_Ounion__inter__neutral ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_setsum_Ounion__inter__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u4202) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4203), _u4204)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4203), _u4205)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4203, _u4202), _u4206), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4203, tc_HOL_Obool)), _u4204), _u4205)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4202), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4203, _u4202), _u4206), _u4204)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4203, _u4202), _u4206), _u4205))) | hBOOL(hAPP(hAPP(c_member(_u4203), skolem87(_u4206, _u4205, _u4204, _u4203, _u4202)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4203, tc_HOL_Obool)), _u4204), _u4205))) )).
% 20.36/20.53 cnf(fact_setsum_Ounion__inter__neutral-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u4202) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4203), _u4204)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4203), _u4205)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4203, _u4202), _u4206), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4203, tc_HOL_Obool)), _u4204), _u4205)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4202), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4203, _u4202), _u4206), _u4204)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4203, _u4202), _u4206), _u4205))) | ( hAPP(_u4206, skolem87(_u4206, _u4205, _u4204, _u4203, _u4202)) != c_Groups_Ozero__class_Ozero(_u4202)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_setsum__Un__zero ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_setsum__Un__zero-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u4208) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4209), _u4210)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4209), _u4211)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4209, _u4208), _u4212), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4209, tc_HOL_Obool)), _u4210), _u4211)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4208), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4209, _u4208), _u4212), _u4210)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4209, _u4208), _u4212), _u4211))) | hBOOL(hAPP(hAPP(c_member(_u4209), skolem88(_u4212, _u4211, _u4210, _u4209, _u4208)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4209, tc_HOL_Obool)), _u4210), _u4211))) )).
% 20.36/20.53 cnf(fact_setsum__Un__zero-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u4208) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4209), _u4210)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4209), _u4211)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4209, _u4208), _u4212), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4209, tc_HOL_Obool)), _u4210), _u4211)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4208), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4209, _u4208), _u4212), _u4210)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4209, _u4208), _u4212), _u4211))) | ( hAPP(_u4212, skolem88(_u4212, _u4211, _u4210, _u4209, _u4208)) != c_Groups_Ozero__class_Ozero(_u4208)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_setsum__mono3 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_setsum__mono3-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u4214) | ~class_Groups_Oordered__ab__semigroup__add(_u4214) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4215), _u4216)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4215, tc_HOL_Obool)), _u4217), _u4216)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4214), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4215, _u4214), _u4218), _u4217)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4215, _u4214), _u4218), _u4216))) | hBOOL(hAPP(hAPP(c_member(_u4215), skolem89(_u4218, _u4217, _u4216, _u4215, _u4214)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4215, tc_HOL_Obool)), _u4216), _u4217))) )).
% 20.36/20.53 cnf(fact_setsum__mono3-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u4214) | ~class_Groups_Oordered__ab__semigroup__add(_u4214) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4215), _u4216)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4215, tc_HOL_Obool)), _u4217), _u4216)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4214), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4215, _u4214), _u4218), _u4217)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4215, _u4214), _u4218), _u4216))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4214), c_Groups_Ozero__class_Ozero(_u4214)), hAPP(_u4218, skolem89(_u4218, _u4217, _u4216, _u4215, _u4214)))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_bot__nat__def ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_bot__nat__def-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_double__eq__0__iff ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_double__eq__0__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u4219) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4219), _u4220), _u4220) != c_Groups_Ozero__class_Ozero(_u4219)) | ( _u4220 = c_Groups_Ozero__class_Ozero(_u4219)) )).
% 20.36/20.53 cnf(fact_double__eq__0__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u4219) | ( _u4220 != c_Groups_Ozero__class_Ozero(_u4219)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4219), _u4220), _u4220) = c_Groups_Ozero__class_Ozero(_u4219)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_triple_Osize_I2_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_triple_Osize_I2_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(_u4221)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u4221), _u4222), _u4223), _u4224)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_card__Suc__eq ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_card__Suc__eq-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u4232), _u4234) != hAPP(c_Nat_OSuc, _u4236)) | ( _u4234 = hAPP(hAPP(c_Set_Oinsert(_u4232), skolem90(_u4236, _u4234, _u4232)), skolem91(_u4236, _u4234, _u4232))) )).
% 20.36/20.53 cnf(fact_card__Suc__eq-2, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u4232), _u4234) != hAPP(c_Nat_OSuc, _u4236)) | ~hBOOL(hAPP(hAPP(c_member(_u4232), skolem90(_u4236, _u4234, _u4232)), skolem91(_u4236, _u4234, _u4232))) )).
% 20.36/20.53 cnf(fact_card__Suc__eq-3, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u4232), _u4234) != hAPP(c_Nat_OSuc, _u4236)) | ( hAPP(c_Finite__Set_Ocard(_u4232), skolem91(_u4236, _u4234, _u4232)) = _u4236) )).
% 20.36/20.53 cnf(fact_card__Suc__eq-4, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u4232), _u4234) != hAPP(c_Nat_OSuc, _u4236)) | ( _u4236 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem91(_u4236, _u4234, _u4232) = c_Orderings_Obot__class_Obot(tc_fun(_u4232, tc_HOL_Obool))) )).
% 20.36/20.53 cnf(fact_card__Suc__eq-5, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u4233), _u4235) = hAPP(c_Nat_OSuc, _u4237)) | ( _u4235 != hAPP(hAPP(c_Set_Oinsert(_u4233), _u4228), _u4227)) | hBOOL(hAPP(hAPP(c_member(_u4233), _u4228), _u4227)) | ( hAPP(c_Finite__Set_Ocard(_u4233), _u4227) != _u4237) | ( _u4237 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53 cnf(fact_card__Suc__eq-6, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u4233), _u4235) = hAPP(c_Nat_OSuc, _u4237)) | ( _u4235 != hAPP(hAPP(c_Set_Oinsert(_u4233), _u4228), _u4227)) | hBOOL(hAPP(hAPP(c_member(_u4233), _u4228), _u4227)) | ( hAPP(c_Finite__Set_Ocard(_u4233), _u4227) != _u4237) | ( _u4227 != c_Orderings_Obot__class_Obot(tc_fun(_u4233, tc_HOL_Obool))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_Ints__odd__less__0 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_Ints__odd__less__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u4238) | ~hBOOL(hAPP(hAPP(c_member(_u4238), _u4239), c_Int_Oring__1__class_OInts(_u4238))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4238), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4238), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4238), c_Groups_Oone__class_Oone(_u4238)), _u4239)), _u4239)), c_Groups_Ozero__class_Ozero(_u4238))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4238), _u4239), c_Groups_Ozero__class_Ozero(_u4238))) )).
% 20.36/20.53 cnf(fact_Ints__odd__less__0-2, axiom, ( ~class_Rings_Olinordered__idom(_u4238) | ~hBOOL(hAPP(hAPP(c_member(_u4238), _u4239), c_Int_Oring__1__class_OInts(_u4238))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4238), _u4239), c_Groups_Ozero__class_Ozero(_u4238))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4238), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4238), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4238), c_Groups_Oone__class_Oone(_u4238)), _u4239)), _u4239)), c_Groups_Ozero__class_Ozero(_u4238))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_com_Osize_I4_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_com_Osize_I4_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OSemi(_u4240, _u4241)) = 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(_u4240)), c_Com_Ocom_Ocom__size(_u4241))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_com_Osize_I12_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_com_Osize_I12_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OSemi(_u4242, _u4243)) = 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), _u4242)), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u4243))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_setprod__diff1 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_setprod__diff1-1, axiom, ( ~class_Fields_Ofield(_u4244) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4245), _u4246)) | ( hAPP(_u4247, _u4248) = c_Groups_Ozero__class_Ozero(_u4244)) | ~hBOOL(hAPP(hAPP(c_member(_u4245), _u4248), _u4246)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4245, _u4244), _u4247), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4245, tc_HOL_Obool)), _u4246), hAPP(hAPP(c_Set_Oinsert(_u4245), _u4248), c_Orderings_Obot__class_Obot(tc_fun(_u4245, tc_HOL_Obool))))) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4244), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4245, _u4244), _u4247), _u4246)), hAPP(_u4247, _u4248))) )).
% 20.36/20.53 cnf(fact_setprod__diff1-2, axiom, ( ~class_Fields_Ofield(_u4244) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4245), _u4246)) | ( hAPP(_u4247, _u4248) = c_Groups_Ozero__class_Ozero(_u4244)) | hBOOL(hAPP(hAPP(c_member(_u4245), _u4248), _u4246)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4245, _u4244), _u4247), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4245, tc_HOL_Obool)), _u4246), hAPP(hAPP(c_Set_Oinsert(_u4245), _u4248), c_Orderings_Obot__class_Obot(tc_fun(_u4245, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4245, _u4244), _u4247), _u4246)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_ex__least__nat__less ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_ex__least__nat__less-1, axiom, ( hBOOL(hAPP(_u4251, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u4251, _u4252)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem92(_u4252, _u4251)), _u4252)) )).
% 20.36/20.53 cnf(fact_ex__least__nat__less-2, axiom, ( hBOOL(hAPP(_u4251, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u4251, _u4252)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4249), skolem92(_u4252, _u4251))) | ~hBOOL(hAPP(_u4251, _u4249)) )).
% 20.36/20.53 cnf(fact_ex__least__nat__less-3, axiom, ( hBOOL(hAPP(_u4251, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u4251, _u4252)) | hBOOL(hAPP(_u4251, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem92(_u4252, _u4251)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_divide__zero__left ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_divide__zero__left-1, axiom, ( ~class_Rings_Odivision__ring(_u4253) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4253), c_Groups_Ozero__class_Ozero(_u4253)), _u4254) = c_Groups_Ozero__class_Ozero(_u4253)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_divide__zero ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_divide__zero-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u4255) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4255), _u4256), c_Groups_Ozero__class_Ozero(_u4255)) = c_Groups_Ozero__class_Ozero(_u4255)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_add__divide__distrib ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_add__divide__distrib-1, axiom, ( ~class_Rings_Odivision__ring(_u4257) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4257), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4257), _u4258), _u4259)), _u4260) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4257), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4257), _u4258), _u4260)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4257), _u4259), _u4260))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_times__divide__eq__right ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_times__divide__eq__right-1, axiom, ( ~class_Rings_Odivision__ring(_u4261) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4261), _u4262), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4261), _u4263), _u4264)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4261), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4261), _u4262), _u4263)), _u4264)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_diff__divide__distrib ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_diff__divide__distrib-1, axiom, ( ~class_Rings_Odivision__ring(_u4265) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4265), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4265), _u4266), _u4267)), _u4268) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4265), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4265), _u4266), _u4268)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4265), _u4267), _u4268))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_divide__1 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_divide__1-1, axiom, ( ~class_Rings_Odivision__ring(_u4269) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4269), _u4270), c_Groups_Oone__class_Oone(_u4269)) = _u4270) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_nonzero__eq__divide__eq ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_nonzero__eq__divide__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u4271) | ( _u4272 = c_Groups_Ozero__class_Ozero(_u4271)) | ( _u4273 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4271), _u4274), _u4272)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4271), _u4273), _u4272) = _u4274) )).
% 20.36/20.53 cnf(fact_nonzero__eq__divide__eq-2, axiom, ( ~class_Rings_Odivision__ring(_u4271) | ( _u4272 = c_Groups_Ozero__class_Ozero(_u4271)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4271), _u4273), _u4272) != _u4274) | ( _u4273 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4271), _u4274), _u4272)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_nonzero__divide__eq__eq ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_nonzero__divide__eq__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u4275) | ( _u4276 = c_Groups_Ozero__class_Ozero(_u4275)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4275), _u4277), _u4276) != _u4278) | ( _u4277 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4275), _u4278), _u4276)) )).
% 20.36/20.53 cnf(fact_nonzero__divide__eq__eq-2, axiom, ( ~class_Rings_Odivision__ring(_u4275) | ( _u4276 = c_Groups_Ozero__class_Ozero(_u4275)) | ( _u4277 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4275), _u4278), _u4276)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4275), _u4277), _u4276) = _u4278) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_divide__eq__imp ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_divide__eq__imp-1, axiom, ( ~class_Rings_Odivision__ring(_u4279) | ( _u4280 = c_Groups_Ozero__class_Ozero(_u4279)) | ( _u4281 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4279), _u4282), _u4280)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4279), _u4281), _u4280) = _u4282) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_eq__divide__imp ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_eq__divide__imp-1, axiom, ( ~class_Rings_Odivision__ring(_u4283) | ( _u4284 = c_Groups_Ozero__class_Ozero(_u4283)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4283), _u4285), _u4284) != _u4286) | ( _u4285 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4283), _u4286), _u4284)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_divide__self__if ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_divide__self__if-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u4287) | ( _u4288 != c_Groups_Ozero__class_Ozero(_u4287)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4287), _u4288), _u4288) = c_Groups_Ozero__class_Ozero(_u4287)) )).
% 20.36/20.53 cnf(fact_divide__self__if-2, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u4287) | ( _u4288 = c_Groups_Ozero__class_Ozero(_u4287)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4287), _u4288), _u4288) = c_Groups_Oone__class_Oone(_u4287)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_divide__self ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_divide__self-1, axiom, ( ~class_Rings_Odivision__ring(_u4289) | ( _u4290 = c_Groups_Ozero__class_Ozero(_u4289)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4289), _u4290), _u4290) = c_Groups_Oone__class_Oone(_u4289)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_right__inverse__eq ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_right__inverse__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u4291) | ( _u4292 = c_Groups_Ozero__class_Ozero(_u4291)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4291), _u4293), _u4292) != c_Groups_Oone__class_Oone(_u4291)) | ( _u4293 = _u4292) )).
% 20.36/20.53 cnf(fact_right__inverse__eq-2, axiom, ( ~class_Rings_Odivision__ring(_u4291) | ( _u4292 = c_Groups_Ozero__class_Ozero(_u4291)) | ( _u4293 != _u4292) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4291), _u4293), _u4292) = c_Groups_Oone__class_Oone(_u4291)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_Ints__0 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_Ints__0-1, axiom, ( ~class_Rings_Oring__1(_u4294) | hBOOL(hAPP(hAPP(c_member(_u4294), c_Groups_Ozero__class_Ozero(_u4294)), c_Int_Oring__1__class_OInts(_u4294))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_Ints__add ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_Ints__add-1, axiom, ( ~class_Rings_Oring__1(_u4295) | ~hBOOL(hAPP(hAPP(c_member(_u4295), _u4296), c_Int_Oring__1__class_OInts(_u4295))) | ~hBOOL(hAPP(hAPP(c_member(_u4295), _u4297), c_Int_Oring__1__class_OInts(_u4295))) | hBOOL(hAPP(hAPP(c_member(_u4295), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4295), _u4296), _u4297)), c_Int_Oring__1__class_OInts(_u4295))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_Ints__mult ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_Ints__mult-1, axiom, ( ~class_Rings_Oring__1(_u4298) | ~hBOOL(hAPP(hAPP(c_member(_u4298), _u4299), c_Int_Oring__1__class_OInts(_u4298))) | ~hBOOL(hAPP(hAPP(c_member(_u4298), _u4300), c_Int_Oring__1__class_OInts(_u4298))) | hBOOL(hAPP(hAPP(c_member(_u4298), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4298), _u4299), _u4300)), c_Int_Oring__1__class_OInts(_u4298))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_Ints__diff ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_Ints__diff-1, axiom, ( ~class_Rings_Oring__1(_u4301) | ~hBOOL(hAPP(hAPP(c_member(_u4301), _u4302), c_Int_Oring__1__class_OInts(_u4301))) | ~hBOOL(hAPP(hAPP(c_member(_u4301), _u4303), c_Int_Oring__1__class_OInts(_u4301))) | hBOOL(hAPP(hAPP(c_member(_u4301), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4301), _u4302), _u4303)), c_Int_Oring__1__class_OInts(_u4301))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_Ints__1 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_Ints__1-1, axiom, ( ~class_Rings_Oring__1(_u4304) | hBOOL(hAPP(hAPP(c_member(_u4304), c_Groups_Oone__class_Oone(_u4304)), c_Int_Oring__1__class_OInts(_u4304))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_com_Osize_I9_J ( axiom ) converted to clauses:
% 20.36/20.53 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)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_com_Osize_I1_J ( axiom ) converted to clauses:
% 20.36/20.53 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)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_Ints__double__eq__0__iff ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_Ints__double__eq__0__iff-1, axiom, ( ~class_Int_Oring__char__0(_u4305) | ~hBOOL(hAPP(hAPP(c_member(_u4305), _u4306), c_Int_Oring__1__class_OInts(_u4305))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4305), _u4306), _u4306) != c_Groups_Ozero__class_Ozero(_u4305)) | ( _u4306 = c_Groups_Ozero__class_Ozero(_u4305)) )).
% 20.36/20.53 cnf(fact_Ints__double__eq__0__iff-2, axiom, ( ~class_Int_Oring__char__0(_u4305) | ~hBOOL(hAPP(hAPP(c_member(_u4305), _u4306), c_Int_Oring__1__class_OInts(_u4305))) | ( _u4306 != c_Groups_Ozero__class_Ozero(_u4305)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4305), _u4306), _u4306) = c_Groups_Ozero__class_Ozero(_u4305)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_Ints__odd__nonzero ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_Ints__odd__nonzero-1, axiom, ( ~class_Int_Oring__char__0(_u4307) | ~hBOOL(hAPP(hAPP(c_member(_u4307), _u4308), c_Int_Oring__1__class_OInts(_u4307))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4307), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4307), c_Groups_Oone__class_Oone(_u4307)), _u4308)), _u4308) != c_Groups_Ozero__class_Ozero(_u4307)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_le__divide__eq ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_le__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4309) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), _u4310), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4309), _u4311), _u4312))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4309), c_Groups_Ozero__class_Ozero(_u4309)), _u4312)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4309), _u4310), _u4312)), _u4311)) )).
% 20.36/20.53 cnf(fact_le__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4309) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), _u4310), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4309), _u4311), _u4312))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4309), c_Groups_Ozero__class_Ozero(_u4309)), _u4312)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4309), _u4312), c_Groups_Ozero__class_Ozero(_u4309))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), _u4311), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4309), _u4310), _u4312))) )).
% 20.36/20.53 cnf(fact_le__divide__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4309) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), _u4310), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4309), _u4311), _u4312))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4309), c_Groups_Ozero__class_Ozero(_u4309)), _u4312)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4309), _u4312), c_Groups_Ozero__class_Ozero(_u4309))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), _u4310), c_Groups_Ozero__class_Ozero(_u4309))) )).
% 20.36/20.53 cnf(fact_le__divide__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4309) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), _u4310), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4309), _u4311), _u4312))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4309), c_Groups_Ozero__class_Ozero(_u4309)), _u4312)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4309), _u4312), c_Groups_Ozero__class_Ozero(_u4309))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), _u4310), c_Groups_Ozero__class_Ozero(_u4309))) )).
% 20.36/20.53 cnf(fact_le__divide__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4309) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), _u4310), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4309), _u4311), _u4312))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4309), c_Groups_Ozero__class_Ozero(_u4309)), _u4312)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), _u4311), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4309), _u4310), _u4312))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4309), _u4312), c_Groups_Ozero__class_Ozero(_u4309))) )).
% 20.36/20.53 cnf(fact_le__divide__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4309) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), _u4310), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4309), _u4311), _u4312))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4309), c_Groups_Ozero__class_Ozero(_u4309)), _u4312)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), _u4311), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4309), _u4310), _u4312))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), _u4310), c_Groups_Ozero__class_Ozero(_u4309))) )).
% 20.36/20.53 cnf(fact_le__divide__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4309) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), _u4310), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4309), _u4311), _u4312))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4309), _u4310), _u4312)), _u4311)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4309), c_Groups_Ozero__class_Ozero(_u4309)), _u4312)) )).
% 20.36/20.53 cnf(fact_le__divide__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4309) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), _u4310), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4309), _u4311), _u4312))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4309), _u4310), _u4312)), _u4311)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4309), _u4312), c_Groups_Ozero__class_Ozero(_u4309))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), _u4310), c_Groups_Ozero__class_Ozero(_u4309))) )).
% 20.36/20.53 cnf(fact_le__divide__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4309) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), _u4310), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4309), _u4311), _u4312))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4309), _u4310), _u4312)), _u4311)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), _u4311), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4309), _u4310), _u4312))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4309), _u4312), c_Groups_Ozero__class_Ozero(_u4309))) )).
% 20.36/20.53 cnf(fact_le__divide__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4309) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), _u4310), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4309), _u4311), _u4312))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4309), _u4310), _u4312)), _u4311)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), _u4311), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4309), _u4310), _u4312))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), _u4310), c_Groups_Ozero__class_Ozero(_u4309))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_divide__le__eq ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_divide__le__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4313) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4313), _u4314), _u4315)), _u4316)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4313), c_Groups_Ozero__class_Ozero(_u4313)), _u4315)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), _u4314), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4313), _u4316), _u4315))) )).
% 20.36/20.53 cnf(fact_divide__le__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4313) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4313), _u4314), _u4315)), _u4316)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4313), c_Groups_Ozero__class_Ozero(_u4313)), _u4315)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4313), _u4315), c_Groups_Ozero__class_Ozero(_u4313))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4313), _u4316), _u4315)), _u4314)) )).
% 20.36/20.53 cnf(fact_divide__le__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4313) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4313), _u4314), _u4315)), _u4316)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4313), c_Groups_Ozero__class_Ozero(_u4313)), _u4315)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4313), _u4315), c_Groups_Ozero__class_Ozero(_u4313))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), c_Groups_Ozero__class_Ozero(_u4313)), _u4316)) )).
% 20.36/20.53 cnf(fact_divide__le__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4313) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4313), _u4314), _u4315)), _u4316)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4313), c_Groups_Ozero__class_Ozero(_u4313)), _u4315)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4313), _u4315), c_Groups_Ozero__class_Ozero(_u4313))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), c_Groups_Ozero__class_Ozero(_u4313)), _u4316)) )).
% 20.36/20.53 cnf(fact_divide__le__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4313) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4313), _u4314), _u4315)), _u4316)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4313), c_Groups_Ozero__class_Ozero(_u4313)), _u4315)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4313), _u4316), _u4315)), _u4314)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4313), _u4315), c_Groups_Ozero__class_Ozero(_u4313))) )).
% 20.36/20.53 cnf(fact_divide__le__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4313) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4313), _u4314), _u4315)), _u4316)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4313), c_Groups_Ozero__class_Ozero(_u4313)), _u4315)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4313), _u4316), _u4315)), _u4314)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), c_Groups_Ozero__class_Ozero(_u4313)), _u4316)) )).
% 20.36/20.53 cnf(fact_divide__le__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4313) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4313), _u4314), _u4315)), _u4316)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), _u4314), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4313), _u4316), _u4315))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4313), c_Groups_Ozero__class_Ozero(_u4313)), _u4315)) )).
% 20.36/20.53 cnf(fact_divide__le__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4313) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4313), _u4314), _u4315)), _u4316)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), _u4314), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4313), _u4316), _u4315))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4313), _u4315), c_Groups_Ozero__class_Ozero(_u4313))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), c_Groups_Ozero__class_Ozero(_u4313)), _u4316)) )).
% 20.36/20.53 cnf(fact_divide__le__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4313) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4313), _u4314), _u4315)), _u4316)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), _u4314), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4313), _u4316), _u4315))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4313), _u4316), _u4315)), _u4314)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4313), _u4315), c_Groups_Ozero__class_Ozero(_u4313))) )).
% 20.36/20.53 cnf(fact_divide__le__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4313) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4313), _u4314), _u4315)), _u4316)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), _u4314), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4313), _u4316), _u4315))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4313), _u4316), _u4315)), _u4314)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), c_Groups_Ozero__class_Ozero(_u4313)), _u4316)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_pos__le__divide__eq ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_pos__le__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u4317) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4317), c_Groups_Ozero__class_Ozero(_u4317)), _u4318)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4317), _u4319), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4317), _u4320), _u4318))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4317), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4317), _u4319), _u4318)), _u4320)) )).
% 20.36/20.53 cnf(fact_pos__le__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u4317) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4317), c_Groups_Ozero__class_Ozero(_u4317)), _u4318)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4317), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4317), _u4319), _u4318)), _u4320)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4317), _u4319), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4317), _u4320), _u4318))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_pos__divide__le__eq ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_pos__divide__le__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u4321) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4321), c_Groups_Ozero__class_Ozero(_u4321)), _u4322)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4321), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4321), _u4323), _u4322)), _u4324)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4321), _u4323), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4321), _u4324), _u4322))) )).
% 20.36/20.53 cnf(fact_pos__divide__le__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u4321) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4321), c_Groups_Ozero__class_Ozero(_u4321)), _u4322)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4321), _u4323), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4321), _u4324), _u4322))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4321), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4321), _u4323), _u4322)), _u4324)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__imp__div__pos__le ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__imp__div__pos__le-1, axiom, ( ~class_Fields_Olinordered__field(_u4325) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4325), c_Groups_Ozero__class_Ozero(_u4325)), _u4326)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4325), _u4327), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4325), _u4328), _u4326))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4325), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4325), _u4327), _u4326)), _u4328)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__imp__le__div__pos ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__imp__le__div__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u4329) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4329), c_Groups_Ozero__class_Ozero(_u4329)), _u4330)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4329), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4329), _u4331), _u4330)), _u4332)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4329), _u4331), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4329), _u4332), _u4330))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_neg__le__divide__eq ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_neg__le__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u4333) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4333), _u4334), c_Groups_Ozero__class_Ozero(_u4333))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4333), _u4335), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4333), _u4336), _u4334))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4333), _u4336), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4333), _u4335), _u4334))) )).
% 20.36/20.53 cnf(fact_neg__le__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u4333) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4333), _u4334), c_Groups_Ozero__class_Ozero(_u4333))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4333), _u4336), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4333), _u4335), _u4334))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4333), _u4335), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4333), _u4336), _u4334))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_times__divide__times__eq ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_times__divide__times__eq-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4337) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4337), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4337), _u4338), _u4339)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4337), _u4340), _u4341)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4337), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4337), _u4338), _u4340)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4337), _u4339), _u4341))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zero__le__divide__iff ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zero__le__divide__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4342) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4342), c_Groups_Ozero__class_Ozero(_u4342)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4342), _u4343), _u4344))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4342), c_Groups_Ozero__class_Ozero(_u4342)), _u4343)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4342), _u4343), c_Groups_Ozero__class_Ozero(_u4342))) )).
% 20.36/20.53 cnf(fact_zero__le__divide__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4342) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4342), c_Groups_Ozero__class_Ozero(_u4342)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4342), _u4343), _u4344))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4342), c_Groups_Ozero__class_Ozero(_u4342)), _u4343)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4342), _u4344), c_Groups_Ozero__class_Ozero(_u4342))) )).
% 20.36/20.53 cnf(fact_zero__le__divide__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4342) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4342), c_Groups_Ozero__class_Ozero(_u4342)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4342), _u4343), _u4344))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4342), c_Groups_Ozero__class_Ozero(_u4342)), _u4344)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4342), _u4343), c_Groups_Ozero__class_Ozero(_u4342))) )).
% 20.36/20.53 cnf(fact_zero__le__divide__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4342) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4342), c_Groups_Ozero__class_Ozero(_u4342)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4342), _u4343), _u4344))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4342), c_Groups_Ozero__class_Ozero(_u4342)), _u4344)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4342), _u4344), c_Groups_Ozero__class_Ozero(_u4342))) )).
% 20.36/20.53 cnf(fact_zero__le__divide__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4342) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4342), c_Groups_Ozero__class_Ozero(_u4342)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4342), _u4343), _u4344))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4342), c_Groups_Ozero__class_Ozero(_u4342)), _u4343)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4342), c_Groups_Ozero__class_Ozero(_u4342)), _u4344)) )).
% 20.36/20.53 cnf(fact_zero__le__divide__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4342) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4342), c_Groups_Ozero__class_Ozero(_u4342)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4342), _u4343), _u4344))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4342), _u4343), c_Groups_Ozero__class_Ozero(_u4342))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4342), _u4344), c_Groups_Ozero__class_Ozero(_u4342))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_divide__le__0__iff ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_divide__le__0__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4345) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4345), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4345), _u4346), _u4347)), c_Groups_Ozero__class_Ozero(_u4345))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4345), c_Groups_Ozero__class_Ozero(_u4345)), _u4346)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4345), _u4346), c_Groups_Ozero__class_Ozero(_u4345))) )).
% 20.36/20.53 cnf(fact_divide__le__0__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4345) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4345), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4345), _u4346), _u4347)), c_Groups_Ozero__class_Ozero(_u4345))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4345), c_Groups_Ozero__class_Ozero(_u4345)), _u4346)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4345), c_Groups_Ozero__class_Ozero(_u4345)), _u4347)) )).
% 20.36/20.53 cnf(fact_divide__le__0__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4345) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4345), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4345), _u4346), _u4347)), c_Groups_Ozero__class_Ozero(_u4345))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4345), _u4347), c_Groups_Ozero__class_Ozero(_u4345))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4345), _u4346), c_Groups_Ozero__class_Ozero(_u4345))) )).
% 20.36/20.53 cnf(fact_divide__le__0__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4345) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4345), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4345), _u4346), _u4347)), c_Groups_Ozero__class_Ozero(_u4345))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4345), _u4347), c_Groups_Ozero__class_Ozero(_u4345))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4345), c_Groups_Ozero__class_Ozero(_u4345)), _u4347)) )).
% 20.36/20.53 cnf(fact_divide__le__0__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4345) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4345), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4345), _u4346), _u4347)), c_Groups_Ozero__class_Ozero(_u4345))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4345), c_Groups_Ozero__class_Ozero(_u4345)), _u4346)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4345), _u4347), c_Groups_Ozero__class_Ozero(_u4345))) )).
% 20.36/20.53 cnf(fact_divide__le__0__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4345) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4345), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4345), _u4346), _u4347)), c_Groups_Ozero__class_Ozero(_u4345))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4345), _u4346), c_Groups_Ozero__class_Ozero(_u4345))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4345), c_Groups_Ozero__class_Ozero(_u4345)), _u4347)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_divide__right__mono ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_divide__right__mono-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4348) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4348), _u4349), _u4350)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4348), c_Groups_Ozero__class_Ozero(_u4348)), _u4351)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4348), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4348), _u4349), _u4351)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4348), _u4350), _u4351))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_divide__right__mono__neg ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_divide__right__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4352) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4352), _u4353), _u4354)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4352), _u4355), c_Groups_Ozero__class_Ozero(_u4352))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4352), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4352), _u4354), _u4355)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4352), _u4353), _u4355))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_divide__strict__right__mono__neg ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_divide__strict__right__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u4356) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4356), _u4357), _u4358)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4356), _u4359), c_Groups_Ozero__class_Ozero(_u4356))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4356), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4356), _u4358), _u4359)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4356), _u4357), _u4359))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_divide__strict__right__mono ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_divide__strict__right__mono-1, axiom, ( ~class_Fields_Olinordered__field(_u4360) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4360), _u4361), _u4362)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4360), c_Groups_Ozero__class_Ozero(_u4360)), _u4363)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4360), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4360), _u4361), _u4363)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4360), _u4362), _u4363))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_divide__neg__neg ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_divide__neg__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u4364) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4364), _u4365), c_Groups_Ozero__class_Ozero(_u4364))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4364), _u4366), c_Groups_Ozero__class_Ozero(_u4364))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4364), c_Groups_Ozero__class_Ozero(_u4364)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4364), _u4365), _u4366))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_divide__neg__pos ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_divide__neg__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u4367) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4367), _u4368), c_Groups_Ozero__class_Ozero(_u4367))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4367), c_Groups_Ozero__class_Ozero(_u4367)), _u4369)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4367), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4367), _u4368), _u4369)), c_Groups_Ozero__class_Ozero(_u4367))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_divide__pos__neg ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_divide__pos__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u4370) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4370), c_Groups_Ozero__class_Ozero(_u4370)), _u4371)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4370), _u4372), c_Groups_Ozero__class_Ozero(_u4370))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4370), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4370), _u4371), _u4372)), c_Groups_Ozero__class_Ozero(_u4370))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_divide__pos__pos ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_divide__pos__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u4373) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4373), c_Groups_Ozero__class_Ozero(_u4373)), _u4374)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4373), c_Groups_Ozero__class_Ozero(_u4373)), _u4375)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4373), c_Groups_Ozero__class_Ozero(_u4373)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4373), _u4374), _u4375))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_divide__less__0__iff ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_divide__less__0__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4376) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4376), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4376), _u4377), _u4378)), c_Groups_Ozero__class_Ozero(_u4376))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4376), c_Groups_Ozero__class_Ozero(_u4376)), _u4377)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4376), _u4377), c_Groups_Ozero__class_Ozero(_u4376))) )).
% 20.36/20.53 cnf(fact_divide__less__0__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4376) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4376), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4376), _u4377), _u4378)), c_Groups_Ozero__class_Ozero(_u4376))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4376), c_Groups_Ozero__class_Ozero(_u4376)), _u4377)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4376), c_Groups_Ozero__class_Ozero(_u4376)), _u4378)) )).
% 20.36/20.53 cnf(fact_divide__less__0__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4376) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4376), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4376), _u4377), _u4378)), c_Groups_Ozero__class_Ozero(_u4376))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4376), _u4378), c_Groups_Ozero__class_Ozero(_u4376))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4376), _u4377), c_Groups_Ozero__class_Ozero(_u4376))) )).
% 20.36/20.53 cnf(fact_divide__less__0__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4376) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4376), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4376), _u4377), _u4378)), c_Groups_Ozero__class_Ozero(_u4376))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4376), _u4378), c_Groups_Ozero__class_Ozero(_u4376))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4376), c_Groups_Ozero__class_Ozero(_u4376)), _u4378)) )).
% 20.36/20.53 cnf(fact_divide__less__0__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4376) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4376), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4376), _u4377), _u4378)), c_Groups_Ozero__class_Ozero(_u4376))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4376), c_Groups_Ozero__class_Ozero(_u4376)), _u4377)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4376), _u4378), c_Groups_Ozero__class_Ozero(_u4376))) )).
% 20.36/20.53 cnf(fact_divide__less__0__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4376) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4376), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4376), _u4377), _u4378)), c_Groups_Ozero__class_Ozero(_u4376))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4376), _u4377), c_Groups_Ozero__class_Ozero(_u4376))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4376), c_Groups_Ozero__class_Ozero(_u4376)), _u4378)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zero__less__divide__iff ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zero__less__divide__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4379) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4379), c_Groups_Ozero__class_Ozero(_u4379)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4379), _u4380), _u4381))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4379), c_Groups_Ozero__class_Ozero(_u4379)), _u4380)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4379), _u4380), c_Groups_Ozero__class_Ozero(_u4379))) )).
% 20.36/20.53 cnf(fact_zero__less__divide__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4379) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4379), c_Groups_Ozero__class_Ozero(_u4379)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4379), _u4380), _u4381))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4379), c_Groups_Ozero__class_Ozero(_u4379)), _u4380)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4379), _u4381), c_Groups_Ozero__class_Ozero(_u4379))) )).
% 20.36/20.53 cnf(fact_zero__less__divide__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4379) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4379), c_Groups_Ozero__class_Ozero(_u4379)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4379), _u4380), _u4381))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4379), c_Groups_Ozero__class_Ozero(_u4379)), _u4381)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4379), _u4380), c_Groups_Ozero__class_Ozero(_u4379))) )).
% 20.36/20.53 cnf(fact_zero__less__divide__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4379) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4379), c_Groups_Ozero__class_Ozero(_u4379)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4379), _u4380), _u4381))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4379), c_Groups_Ozero__class_Ozero(_u4379)), _u4381)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4379), _u4381), c_Groups_Ozero__class_Ozero(_u4379))) )).
% 20.36/20.53 cnf(fact_zero__less__divide__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4379) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4379), c_Groups_Ozero__class_Ozero(_u4379)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4379), _u4380), _u4381))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4379), c_Groups_Ozero__class_Ozero(_u4379)), _u4380)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4379), c_Groups_Ozero__class_Ozero(_u4379)), _u4381)) )).
% 20.36/20.53 cnf(fact_zero__less__divide__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4379) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4379), c_Groups_Ozero__class_Ozero(_u4379)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4379), _u4380), _u4381))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4379), _u4380), c_Groups_Ozero__class_Ozero(_u4379))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4379), _u4381), c_Groups_Ozero__class_Ozero(_u4379))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_eq__divide__eq ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_eq__divide__eq-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4382) | ( _u4383 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4382), _u4384), _u4385)) | ( _u4385 = c_Groups_Ozero__class_Ozero(_u4382)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4382), _u4383), _u4385) = _u4384) )).
% 20.36/20.53 cnf(fact_eq__divide__eq-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4382) | ( _u4383 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4382), _u4384), _u4385)) | ( _u4385 != c_Groups_Ozero__class_Ozero(_u4382)) | ( _u4383 = c_Groups_Ozero__class_Ozero(_u4382)) )).
% 20.36/20.53 cnf(fact_eq__divide__eq-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4382) | ( _u4383 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4382), _u4384), _u4385)) | ( _u4385 != c_Groups_Ozero__class_Ozero(_u4382)) | ( _u4383 != c_Groups_Ozero__class_Ozero(_u4382)) )).
% 20.36/20.53 cnf(fact_eq__divide__eq-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4382) | ( _u4383 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4382), _u4384), _u4385)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4382), _u4383), _u4385) != _u4384) | ( _u4385 = c_Groups_Ozero__class_Ozero(_u4382)) )).
% 20.36/20.53 cnf(fact_eq__divide__eq-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4382) | ( _u4383 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4382), _u4384), _u4385)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4382), _u4383), _u4385) != _u4384) | ( _u4383 != c_Groups_Ozero__class_Ozero(_u4382)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_divide__eq__eq ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_divide__eq__eq-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4386) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4386), _u4387), _u4388) != _u4389) | ( _u4388 = c_Groups_Ozero__class_Ozero(_u4386)) | ( _u4387 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4386), _u4389), _u4388)) )).
% 20.36/20.53 cnf(fact_divide__eq__eq-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4386) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4386), _u4387), _u4388) != _u4389) | ( _u4388 != c_Groups_Ozero__class_Ozero(_u4386)) | ( _u4389 = c_Groups_Ozero__class_Ozero(_u4386)) )).
% 20.36/20.53 cnf(fact_divide__eq__eq-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4386) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4386), _u4387), _u4388) = _u4389) | ( _u4388 != c_Groups_Ozero__class_Ozero(_u4386)) | ( _u4389 != c_Groups_Ozero__class_Ozero(_u4386)) )).
% 20.36/20.53 cnf(fact_divide__eq__eq-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4386) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4386), _u4387), _u4388) = _u4389) | ( _u4387 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4386), _u4389), _u4388)) | ( _u4388 = c_Groups_Ozero__class_Ozero(_u4386)) )).
% 20.36/20.53 cnf(fact_divide__eq__eq-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4386) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4386), _u4387), _u4388) = _u4389) | ( _u4387 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4386), _u4389), _u4388)) | ( _u4389 != c_Groups_Ozero__class_Ozero(_u4386)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__divide__mult__cancel__right ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__divide__mult__cancel__right-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4390) | ( _u4391 = c_Groups_Ozero__class_Ozero(_u4390)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4390), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4390), _u4392), _u4391)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4390), _u4393), _u4391)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4390), _u4392), _u4393)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__divide__mult__cancel__left ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__divide__mult__cancel__left-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4394) | ( _u4395 = c_Groups_Ozero__class_Ozero(_u4394)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4394), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4394), _u4395), _u4396)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4394), _u4395), _u4397)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4394), _u4396), _u4397)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_frac__eq__eq ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_frac__eq__eq-1, axiom, ( ~class_Fields_Ofield(_u4398) | ( _u4399 = c_Groups_Ozero__class_Ozero(_u4398)) | ( _u4400 = c_Groups_Ozero__class_Ozero(_u4398)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4398), _u4401), _u4399) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4398), _u4402), _u4400)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4398), _u4401), _u4400) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4398), _u4402), _u4399)) )).
% 20.36/20.53 cnf(fact_frac__eq__eq-2, axiom, ( ~class_Fields_Ofield(_u4398) | ( _u4399 = c_Groups_Ozero__class_Ozero(_u4398)) | ( _u4400 = c_Groups_Ozero__class_Ozero(_u4398)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4398), _u4401), _u4400) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4398), _u4402), _u4399)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4398), _u4401), _u4399) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4398), _u4402), _u4400)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_divide__nonneg__pos ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_divide__nonneg__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u4403) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4403), c_Groups_Ozero__class_Ozero(_u4403)), _u4404)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4403), c_Groups_Ozero__class_Ozero(_u4403)), _u4405)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4403), c_Groups_Ozero__class_Ozero(_u4403)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4403), _u4404), _u4405))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_divide__nonneg__neg ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_divide__nonneg__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u4406) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4406), c_Groups_Ozero__class_Ozero(_u4406)), _u4407)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4406), _u4408), c_Groups_Ozero__class_Ozero(_u4406))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4406), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4406), _u4407), _u4408)), c_Groups_Ozero__class_Ozero(_u4406))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_frac__less2 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_frac__less2-1, axiom, ( ~class_Fields_Olinordered__field(_u4409) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4409), c_Groups_Ozero__class_Ozero(_u4409)), _u4410)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4409), _u4410), _u4411)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4409), c_Groups_Ozero__class_Ozero(_u4409)), _u4412)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4409), _u4412), _u4413)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4409), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4409), _u4410), _u4413)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4409), _u4411), _u4412))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_frac__less ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_frac__less-1, axiom, ( ~class_Fields_Olinordered__field(_u4414) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4414), c_Groups_Ozero__class_Ozero(_u4414)), _u4415)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4414), _u4415), _u4416)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4414), c_Groups_Ozero__class_Ozero(_u4414)), _u4417)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4414), _u4417), _u4418)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4414), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4414), _u4415), _u4418)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4414), _u4416), _u4417))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_frac__le ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_frac__le-1, axiom, ( ~class_Fields_Olinordered__field(_u4419) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4419), c_Groups_Ozero__class_Ozero(_u4419)), _u4420)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4419), _u4420), _u4421)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4419), c_Groups_Ozero__class_Ozero(_u4419)), _u4422)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4419), _u4422), _u4423)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4419), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4419), _u4420), _u4423)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4419), _u4421), _u4422))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_divide__nonpos__pos ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_divide__nonpos__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u4424) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4424), _u4425), c_Groups_Ozero__class_Ozero(_u4424))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4424), c_Groups_Ozero__class_Ozero(_u4424)), _u4426)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4424), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4424), _u4425), _u4426)), c_Groups_Ozero__class_Ozero(_u4424))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_divide__nonpos__neg ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_divide__nonpos__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u4427) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4427), _u4428), c_Groups_Ozero__class_Ozero(_u4427))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4427), _u4429), c_Groups_Ozero__class_Ozero(_u4427))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4427), c_Groups_Ozero__class_Ozero(_u4427)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4427), _u4428), _u4429))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_divide__strict__left__mono__neg ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_divide__strict__left__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u4430) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4430), _u4431), _u4432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4430), _u4433), c_Groups_Ozero__class_Ozero(_u4430))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4430), c_Groups_Ozero__class_Ozero(_u4430)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4430), _u4431), _u4432))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4430), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4430), _u4433), _u4431)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4430), _u4433), _u4432))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_divide__strict__left__mono ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_divide__strict__left__mono-1, axiom, ( ~class_Fields_Olinordered__field(_u4434) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4434), _u4435), _u4436)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4434), c_Groups_Ozero__class_Ozero(_u4434)), _u4437)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4434), c_Groups_Ozero__class_Ozero(_u4434)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4434), _u4436), _u4435))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4434), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4434), _u4437), _u4436)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4434), _u4437), _u4435))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_neg__divide__less__eq ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_neg__divide__less__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u4438) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4438), _u4439), c_Groups_Ozero__class_Ozero(_u4438))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4438), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4438), _u4440), _u4439)), _u4441)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4438), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4438), _u4441), _u4439)), _u4440)) )).
% 20.36/20.53 cnf(fact_neg__divide__less__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u4438) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4438), _u4439), c_Groups_Ozero__class_Ozero(_u4438))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4438), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4438), _u4441), _u4439)), _u4440)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4438), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4438), _u4440), _u4439)), _u4441)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_neg__less__divide__eq ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_neg__less__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u4442) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4442), _u4443), c_Groups_Ozero__class_Ozero(_u4442))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4442), _u4444), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4442), _u4445), _u4443))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4442), _u4445), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4442), _u4444), _u4443))) )).
% 20.36/20.53 cnf(fact_neg__less__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u4442) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4442), _u4443), c_Groups_Ozero__class_Ozero(_u4442))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4442), _u4445), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4442), _u4444), _u4443))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4442), _u4444), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4442), _u4445), _u4443))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__imp__less__div__pos ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__imp__less__div__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u4446) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4446), c_Groups_Ozero__class_Ozero(_u4446)), _u4447)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4446), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4446), _u4448), _u4447)), _u4449)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4446), _u4448), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4446), _u4449), _u4447))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__imp__div__pos__less ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__imp__div__pos__less-1, axiom, ( ~class_Fields_Olinordered__field(_u4450) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4450), c_Groups_Ozero__class_Ozero(_u4450)), _u4451)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4450), _u4452), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4450), _u4453), _u4451))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4450), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4450), _u4452), _u4451)), _u4453)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_pos__divide__less__eq ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_pos__divide__less__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u4454) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4454), c_Groups_Ozero__class_Ozero(_u4454)), _u4455)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4454), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4454), _u4456), _u4455)), _u4457)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4454), _u4456), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4454), _u4457), _u4455))) )).
% 20.36/20.53 cnf(fact_pos__divide__less__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u4454) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4454), c_Groups_Ozero__class_Ozero(_u4454)), _u4455)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4454), _u4456), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4454), _u4457), _u4455))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4454), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4454), _u4456), _u4455)), _u4457)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_pos__less__divide__eq ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_pos__less__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u4458) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4458), c_Groups_Ozero__class_Ozero(_u4458)), _u4459)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4458), _u4460), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4458), _u4461), _u4459))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4458), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4458), _u4460), _u4459)), _u4461)) )).
% 20.36/20.53 cnf(fact_pos__less__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u4458) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4458), c_Groups_Ozero__class_Ozero(_u4458)), _u4459)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4458), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4458), _u4460), _u4459)), _u4461)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4458), _u4460), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4458), _u4461), _u4459))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_divide__less__eq ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_divide__less__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4462) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4462), _u4463), _u4464)), _u4465)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), c_Groups_Ozero__class_Ozero(_u4462)), _u4464)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), _u4463), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4462), _u4465), _u4464))) )).
% 20.36/20.53 cnf(fact_divide__less__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4462) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4462), _u4463), _u4464)), _u4465)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), c_Groups_Ozero__class_Ozero(_u4462)), _u4464)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), _u4464), c_Groups_Ozero__class_Ozero(_u4462))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4462), _u4465), _u4464)), _u4463)) )).
% 20.36/20.53 cnf(fact_divide__less__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4462) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4462), _u4463), _u4464)), _u4465)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), c_Groups_Ozero__class_Ozero(_u4462)), _u4464)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), _u4464), c_Groups_Ozero__class_Ozero(_u4462))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), c_Groups_Ozero__class_Ozero(_u4462)), _u4465)) )).
% 20.36/20.53 cnf(fact_divide__less__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4462) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4462), _u4463), _u4464)), _u4465)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), c_Groups_Ozero__class_Ozero(_u4462)), _u4464)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), _u4464), c_Groups_Ozero__class_Ozero(_u4462))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), c_Groups_Ozero__class_Ozero(_u4462)), _u4465)) )).
% 20.36/20.53 cnf(fact_divide__less__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4462) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4462), _u4463), _u4464)), _u4465)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), c_Groups_Ozero__class_Ozero(_u4462)), _u4464)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4462), _u4465), _u4464)), _u4463)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), _u4464), c_Groups_Ozero__class_Ozero(_u4462))) )).
% 20.36/20.53 cnf(fact_divide__less__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4462) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4462), _u4463), _u4464)), _u4465)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), c_Groups_Ozero__class_Ozero(_u4462)), _u4464)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4462), _u4465), _u4464)), _u4463)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), c_Groups_Ozero__class_Ozero(_u4462)), _u4465)) )).
% 20.36/20.53 cnf(fact_divide__less__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4462) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4462), _u4463), _u4464)), _u4465)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), _u4463), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4462), _u4465), _u4464))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), c_Groups_Ozero__class_Ozero(_u4462)), _u4464)) )).
% 20.36/20.53 cnf(fact_divide__less__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4462) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4462), _u4463), _u4464)), _u4465)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), _u4463), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4462), _u4465), _u4464))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), _u4464), c_Groups_Ozero__class_Ozero(_u4462))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), c_Groups_Ozero__class_Ozero(_u4462)), _u4465)) )).
% 20.36/20.53 cnf(fact_divide__less__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4462) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4462), _u4463), _u4464)), _u4465)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), _u4463), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4462), _u4465), _u4464))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4462), _u4465), _u4464)), _u4463)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), _u4464), c_Groups_Ozero__class_Ozero(_u4462))) )).
% 20.36/20.53 cnf(fact_divide__less__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4462) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4462), _u4463), _u4464)), _u4465)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), _u4463), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4462), _u4465), _u4464))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4462), _u4465), _u4464)), _u4463)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), c_Groups_Ozero__class_Ozero(_u4462)), _u4465)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_less__divide__eq ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_less__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4466) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4467), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4466), _u4468), _u4469))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), c_Groups_Ozero__class_Ozero(_u4466)), _u4469)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4466), _u4467), _u4469)), _u4468)) )).
% 20.36/20.53 cnf(fact_less__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4466) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4467), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4466), _u4468), _u4469))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), c_Groups_Ozero__class_Ozero(_u4466)), _u4469)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4469), c_Groups_Ozero__class_Ozero(_u4466))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4468), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4466), _u4467), _u4469))) )).
% 20.36/20.53 cnf(fact_less__divide__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4466) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4467), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4466), _u4468), _u4469))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), c_Groups_Ozero__class_Ozero(_u4466)), _u4469)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4469), c_Groups_Ozero__class_Ozero(_u4466))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4467), c_Groups_Ozero__class_Ozero(_u4466))) )).
% 20.36/20.53 cnf(fact_less__divide__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4466) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4467), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4466), _u4468), _u4469))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), c_Groups_Ozero__class_Ozero(_u4466)), _u4469)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4469), c_Groups_Ozero__class_Ozero(_u4466))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4467), c_Groups_Ozero__class_Ozero(_u4466))) )).
% 20.36/20.53 cnf(fact_less__divide__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4466) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4467), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4466), _u4468), _u4469))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), c_Groups_Ozero__class_Ozero(_u4466)), _u4469)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4468), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4466), _u4467), _u4469))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4469), c_Groups_Ozero__class_Ozero(_u4466))) )).
% 20.36/20.53 cnf(fact_less__divide__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4466) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4467), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4466), _u4468), _u4469))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), c_Groups_Ozero__class_Ozero(_u4466)), _u4469)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4468), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4466), _u4467), _u4469))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4467), c_Groups_Ozero__class_Ozero(_u4466))) )).
% 20.36/20.53 cnf(fact_less__divide__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4466) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4467), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4466), _u4468), _u4469))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4466), _u4467), _u4469)), _u4468)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), c_Groups_Ozero__class_Ozero(_u4466)), _u4469)) )).
% 20.36/20.53 cnf(fact_less__divide__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4466) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4467), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4466), _u4468), _u4469))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4466), _u4467), _u4469)), _u4468)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4469), c_Groups_Ozero__class_Ozero(_u4466))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4467), c_Groups_Ozero__class_Ozero(_u4466))) )).
% 20.36/20.53 cnf(fact_less__divide__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4466) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4467), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4466), _u4468), _u4469))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4466), _u4467), _u4469)), _u4468)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4468), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4466), _u4467), _u4469))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4469), c_Groups_Ozero__class_Ozero(_u4466))) )).
% 20.36/20.53 cnf(fact_less__divide__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4466) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4467), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4466), _u4468), _u4469))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4466), _u4467), _u4469)), _u4468)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4468), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4466), _u4467), _u4469))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4467), c_Groups_Ozero__class_Ozero(_u4466))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_add__num__frac ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_add__num__frac-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4470) | ( _u4471 = c_Groups_Ozero__class_Ozero(_u4470)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4470), _u4472), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4470), _u4473), _u4471)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4470), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4470), _u4473), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4470), _u4472), _u4471))), _u4471)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_add__divide__eq__iff ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_add__divide__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u4474) | ( _u4475 = c_Groups_Ozero__class_Ozero(_u4474)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4474), _u4476), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4474), _u4477), _u4475)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4474), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4474), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4474), _u4475), _u4476)), _u4477)), _u4475)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_add__frac__num ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_add__frac__num-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4478) | ( _u4479 = c_Groups_Ozero__class_Ozero(_u4478)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4478), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4478), _u4480), _u4479)), _u4481) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4478), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4478), _u4480), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4478), _u4481), _u4479))), _u4479)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_divide__add__eq__iff ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_divide__add__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u4482) | ( _u4483 = c_Groups_Ozero__class_Ozero(_u4482)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4482), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4482), _u4484), _u4483)), _u4485) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4482), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4482), _u4484), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4482), _u4483), _u4485))), _u4483)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_add__frac__eq ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_add__frac__eq-1, axiom, ( ~class_Fields_Ofield(_u4486) | ( _u4487 = c_Groups_Ozero__class_Ozero(_u4486)) | ( _u4488 = c_Groups_Ozero__class_Ozero(_u4486)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4486), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4486), _u4489), _u4487)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4486), _u4490), _u4488)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4486), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4486), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4486), _u4489), _u4488)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4486), _u4490), _u4487))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4486), _u4487), _u4488))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_diff__frac__eq ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_diff__frac__eq-1, axiom, ( ~class_Fields_Ofield(_u4491) | ( _u4492 = c_Groups_Ozero__class_Ozero(_u4491)) | ( _u4493 = c_Groups_Ozero__class_Ozero(_u4491)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4491), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4491), _u4494), _u4492)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4491), _u4495), _u4493)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4491), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4491), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4491), _u4494), _u4493)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4491), _u4495), _u4492))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4491), _u4492), _u4493))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_divide__diff__eq__iff ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_divide__diff__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u4496) | ( _u4497 = c_Groups_Ozero__class_Ozero(_u4496)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4496), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4496), _u4498), _u4497)), _u4499) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4496), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4496), _u4498), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4496), _u4497), _u4499))), _u4497)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_diff__divide__eq__iff ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_diff__divide__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u4500) | ( _u4501 = c_Groups_Ozero__class_Ozero(_u4500)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4500), _u4502), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4500), _u4503), _u4501)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4500), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4500), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4500), _u4501), _u4502)), _u4503)), _u4501)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_gt__half__sum ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_gt__half__sum-1, axiom, ( ~class_Fields_Olinordered__field(_u4504) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4504), _u4505), _u4506)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4504), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4504), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4504), _u4505), _u4506)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4504), c_Groups_Oone__class_Oone(_u4504)), c_Groups_Oone__class_Oone(_u4504)))), _u4506)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_less__half__sum ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_less__half__sum-1, axiom, ( ~class_Fields_Olinordered__field(_u4507) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4507), _u4508), _u4509)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4507), _u4508), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4507), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4507), _u4508), _u4509)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4507), c_Groups_Oone__class_Oone(_u4507)), c_Groups_Oone__class_Oone(_u4507))))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_divide__left__mono__neg ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_divide__left__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4510) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4510), _u4511), _u4512)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4510), _u4513), c_Groups_Ozero__class_Ozero(_u4510))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4510), c_Groups_Ozero__class_Ozero(_u4510)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4510), _u4511), _u4512))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4510), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4510), _u4513), _u4511)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4510), _u4513), _u4512))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_divide__left__mono ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_divide__left__mono-1, axiom, ( ~class_Fields_Olinordered__field(_u4514) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4514), _u4515), _u4516)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4514), c_Groups_Ozero__class_Ozero(_u4514)), _u4517)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4514), c_Groups_Ozero__class_Ozero(_u4514)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4514), _u4516), _u4515))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4514), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4514), _u4517), _u4516)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4514), _u4517), _u4515))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_neg__divide__le__eq ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_neg__divide__le__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u4518) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4518), _u4519), c_Groups_Ozero__class_Ozero(_u4518))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4518), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4518), _u4520), _u4519)), _u4521)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4518), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4518), _u4521), _u4519)), _u4520)) )).
% 20.36/20.53 cnf(fact_neg__divide__le__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u4518) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4518), _u4519), c_Groups_Ozero__class_Ozero(_u4518))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4518), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4518), _u4521), _u4519)), _u4520)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4518), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4518), _u4520), _u4519)), _u4521)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_setprod__Un ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_setprod__Un-1, axiom, ( ~class_Fields_Ofield(_u4523) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4524), _u4525)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4524), _u4526)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4524, _u4523), _u4527), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4524, tc_HOL_Obool)), _u4525), _u4526)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4523), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4523), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4524, _u4523), _u4527), _u4525)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4524, _u4523), _u4527), _u4526))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4524, _u4523), _u4527), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4524, tc_HOL_Obool)), _u4525), _u4526)))) | hBOOL(hAPP(hAPP(c_member(_u4524), skolem93(_u4527, _u4526, _u4525, _u4524, _u4523)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4524, tc_HOL_Obool)), _u4525), _u4526))) )).
% 20.36/20.53 cnf(fact_setprod__Un-2, axiom, ( ~class_Fields_Ofield(_u4523) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4524), _u4525)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4524), _u4526)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4524, _u4523), _u4527), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4524, tc_HOL_Obool)), _u4525), _u4526)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4523), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4523), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4524, _u4523), _u4527), _u4525)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4524, _u4523), _u4527), _u4526))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4524, _u4523), _u4527), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4524, tc_HOL_Obool)), _u4525), _u4526)))) | ( hAPP(_u4527, skolem93(_u4527, _u4526, _u4525, _u4524, _u4523)) = c_Groups_Ozero__class_Ozero(_u4523)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_setsum__mono__zero__left ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_setsum__mono__zero__left-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u4529) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4530), _u4531)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4530, tc_HOL_Obool)), _u4532), _u4531)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4530, _u4529), _u4533), _u4532) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4530, _u4529), _u4533), _u4531)) | hBOOL(hAPP(hAPP(c_member(_u4530), skolem94(_u4533, _u4532, _u4531, _u4530, _u4529)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4530, tc_HOL_Obool)), _u4531), _u4532))) )).
% 20.36/20.53 cnf(fact_setsum__mono__zero__left-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u4529) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4530), _u4531)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4530, tc_HOL_Obool)), _u4532), _u4531)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4530, _u4529), _u4533), _u4532) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4530, _u4529), _u4533), _u4531)) | ( hAPP(_u4533, skolem94(_u4533, _u4532, _u4531, _u4530, _u4529)) != c_Groups_Ozero__class_Ozero(_u4529)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_setsum__mono__zero__right ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_setsum__mono__zero__right-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u4535) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4536), _u4537)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4536, tc_HOL_Obool)), _u4538), _u4537)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4536, _u4535), _u4539), _u4537) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4536, _u4535), _u4539), _u4538)) | hBOOL(hAPP(hAPP(c_member(_u4536), skolem95(_u4539, _u4538, _u4537, _u4536, _u4535)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4536, tc_HOL_Obool)), _u4537), _u4538))) )).
% 20.36/20.53 cnf(fact_setsum__mono__zero__right-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u4535) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4536), _u4537)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4536, tc_HOL_Obool)), _u4538), _u4537)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4536, _u4535), _u4539), _u4537) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4536, _u4535), _u4539), _u4538)) | ( hAPP(_u4539, skolem95(_u4539, _u4538, _u4537, _u4536, _u4535)) != c_Groups_Ozero__class_Ozero(_u4535)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_field__le__mult__one__interval ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_field__le__mult__one__interval-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4541) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4541), _u4542), _u4543)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4541), c_Groups_Ozero__class_Ozero(_u4541)), skolem96(_u4543, _u4542, _u4541))) )).
% 20.36/20.53 cnf(fact_field__le__mult__one__interval-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4541) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4541), _u4542), _u4543)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4541), skolem96(_u4543, _u4542, _u4541)), c_Groups_Oone__class_Oone(_u4541))) )).
% 20.36/20.53 cnf(fact_field__le__mult__one__interval-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4541) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4541), _u4542), _u4543)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4541), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4541), skolem96(_u4543, _u4542, _u4541)), _u4542)), _u4543)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_setprod__pos__nat ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_setprod__pos__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4545), _u4546)) | 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(_u4545, tc_Nat_Onat), _u4547), _u4546))) | hBOOL(hAPP(hAPP(c_member(_u4545), skolem97(_u4547, _u4546, _u4545)), _u4546)) )).
% 20.36/20.53 cnf(fact_setprod__pos__nat-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4545), _u4546)) | 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(_u4545, tc_Nat_Onat), _u4547), _u4546))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u4547, skolem97(_u4547, _u4546, _u4545)))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_setsum__SucD ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_setsum__SucD-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4549, tc_Nat_Onat), _u4550), _u4551) != hAPP(c_Nat_OSuc, _u4552)) | hBOOL(hAPP(hAPP(c_member(_u4549), skolem98(_u4552, _u4551, _u4550, _u4549)), _u4551)) )).
% 20.36/20.53 cnf(fact_setsum__SucD-2, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4549, tc_Nat_Onat), _u4550), _u4551) != hAPP(c_Nat_OSuc, _u4552)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u4550, skolem98(_u4552, _u4551, _u4550, _u4549)))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_com_Osize_I5_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_com_Osize_I5_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OCond(_u4553, _u4554, _u4555)) = 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(_u4554)), c_Com_Ocom_Ocom__size(_u4555))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_com_Osimps_I4_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_com_Osimps_I4_J-1, axiom, ( ( c_Com_Ocom_OCond(_u4562, _u4564, _u4566) != c_Com_Ocom_OCond(_u4568, _u4570, _u4572)) | ( _u4562 = _u4568) )).
% 20.36/20.53 cnf(fact_com_Osimps_I4_J-2, axiom, ( ( c_Com_Ocom_OCond(_u4562, _u4564, _u4566) != c_Com_Ocom_OCond(_u4568, _u4570, _u4572)) | ( _u4564 = _u4570) )).
% 20.36/20.53 cnf(fact_com_Osimps_I4_J-3, axiom, ( ( c_Com_Ocom_OCond(_u4562, _u4564, _u4566) != c_Com_Ocom_OCond(_u4568, _u4570, _u4572)) | ( _u4566 = _u4572) )).
% 20.36/20.53 cnf(fact_com_Osimps_I4_J-4, axiom, ( ( _u4563 != _u4569) | ( _u4565 != _u4571) | ( _u4567 != _u4573) | ( c_Com_Ocom_OCond(_u4563, _u4565, _u4567) = c_Com_Ocom_OCond(_u4569, _u4571, _u4573)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_com_Osimps_I45_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_com_Osimps_I45_J-1, axiom, ( ( c_Com_Ocom_OCond(_u4574, _u4575, _u4576) != c_Com_Ocom_OSemi(_u4577, _u4578)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_com_Osimps_I44_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_com_Osimps_I44_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u4579, _u4580) != c_Com_Ocom_OCond(_u4581, _u4582, _u4583)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_com_Osimps_I15_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_com_Osimps_I15_J-1, axiom, ( ( c_Com_Ocom_OCond(_u4584, _u4585, _u4586) != c_Com_Ocom_OSKIP) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_com_Osimps_I14_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_com_Osimps_I14_J-1, axiom, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(_u4587, _u4588, _u4589)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_com_Osize_I13_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_com_Osize_I13_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OCond(_u4590, _u4591, _u4592)) = 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), _u4591)), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u4592))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_card_Oneutral ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_card_Oneutral-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4594), _u4595)) | ( hAPP(c_Finite__Set_Ocard(_u4594), _u4595) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u4594), skolem99(_u4595, _u4594)), _u4595)) )).
% 20.36/20.53 cnf(fact_card_Oneutral-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4594), _u4595)) | ( hAPP(c_Finite__Set_Ocard(_u4594), _u4595) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_min__max_Oinf__le__fold__inf ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_min__max_Oinf__le__fold__inf-1, axiom, ( ~class_Orderings_Olinorder(_u4597) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4597), _u4598)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4597), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4597), _u4599), _u4600)), hAPP(hAPP(c_Finite__Set_Ofold(_u4597, _u4597, c_Orderings_Oord__class_Omin(_u4597)), _u4600), _u4598))) | hBOOL(hAPP(hAPP(c_member(_u4597), skolem100(_u4600, _u4599, _u4598, _u4597)), _u4598)) )).
% 20.36/20.53 cnf(fact_min__max_Oinf__le__fold__inf-2, axiom, ( ~class_Orderings_Olinorder(_u4597) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4597), _u4598)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4597), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4597), _u4599), _u4600)), hAPP(hAPP(c_Finite__Set_Ofold(_u4597, _u4597, c_Orderings_Oord__class_Omin(_u4597)), _u4600), _u4598))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4597), _u4599), skolem100(_u4600, _u4599, _u4598, _u4597))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_fold__image__cong ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_fold__image__cong-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u4602) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4603), _u4604)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4602, _u4603, c_Groups_Otimes__class_Otimes(_u4602)), _u4605), _u4607), _u4604) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4602, _u4603, c_Groups_Otimes__class_Otimes(_u4602)), _u4606), _u4607), _u4604)) | hBOOL(hAPP(hAPP(c_member(_u4603), skolem101(_u4607, _u4606, _u4605, _u4604, _u4603, _u4602)), _u4604)) )).
% 20.36/20.53 cnf(fact_fold__image__cong-2, axiom, ( ~class_Groups_Oab__semigroup__mult(_u4602) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4603), _u4604)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4602, _u4603, c_Groups_Otimes__class_Otimes(_u4602)), _u4605), _u4607), _u4604) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4602, _u4603, c_Groups_Otimes__class_Otimes(_u4602)), _u4606), _u4607), _u4604)) | ( hAPP(_u4605, skolem101(_u4607, _u4606, _u4605, _u4604, _u4603, _u4602)) != hAPP(_u4606, skolem101(_u4607, _u4606, _u4605, _u4604, _u4603, _u4602))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_Min__eqI ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_Min__eqI-1, axiom, ( ~class_Orderings_Olinorder(_u4609) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4609), _u4610)) | ~hBOOL(hAPP(hAPP(c_member(_u4609), _u4611), _u4610)) | ( c_Big__Operators_Olinorder__class_OMin(_u4609, _u4610) = _u4611) | hBOOL(hAPP(hAPP(c_member(_u4609), skolem102(_u4611, _u4610, _u4609)), _u4610)) )).
% 20.36/20.53 cnf(fact_Min__eqI-2, axiom, ( ~class_Orderings_Olinorder(_u4609) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4609), _u4610)) | ~hBOOL(hAPP(hAPP(c_member(_u4609), _u4611), _u4610)) | ( c_Big__Operators_Olinorder__class_OMin(_u4609, _u4610) = _u4611) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4609), _u4611), skolem102(_u4611, _u4610, _u4609))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_inf__le__fold__inf ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_inf__le__fold__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u4613) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4613), _u4614)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4613), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4613), _u4615), _u4616)), hAPP(hAPP(c_Finite__Set_Ofold(_u4613, _u4613, c_Lattices_Osemilattice__inf__class_Oinf(_u4613)), _u4616), _u4614))) | hBOOL(hAPP(hAPP(c_member(_u4613), skolem103(_u4616, _u4615, _u4614, _u4613)), _u4614)) )).
% 20.36/20.53 cnf(fact_inf__le__fold__inf-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u4613) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4613), _u4614)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4613), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4613), _u4615), _u4616)), hAPP(hAPP(c_Finite__Set_Ofold(_u4613, _u4613, c_Lattices_Osemilattice__inf__class_Oinf(_u4613)), _u4616), _u4614))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4613), _u4615), skolem103(_u4616, _u4615, _u4614, _u4613))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_fold__sup__le__sup ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_fold__sup__le__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u4618) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4618), _u4619)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4618), hAPP(hAPP(c_Finite__Set_Ofold(_u4618, _u4618, c_Lattices_Osemilattice__sup__class_Osup(_u4618)), _u4621), _u4619)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4618), _u4620), _u4621))) | hBOOL(hAPP(hAPP(c_member(_u4618), skolem104(_u4621, _u4620, _u4619, _u4618)), _u4619)) )).
% 20.36/20.53 cnf(fact_fold__sup__le__sup-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u4618) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4618), _u4619)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4618), hAPP(hAPP(c_Finite__Set_Ofold(_u4618, _u4618, c_Lattices_Osemilattice__sup__class_Osup(_u4618)), _u4621), _u4619)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4618), _u4620), _u4621))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4618), skolem104(_u4621, _u4620, _u4619, _u4618)), _u4620)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_expand__Suc ( axiom ) converted to clauses:
% 20.36/20.53 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), _u4622))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4622) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4622)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_eq__number__of ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_eq__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u4623) | ~class_Int_Oring__char__0(_u4623) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4623), _u4624) != hAPP(c_Int_Onumber__class_Onumber__of(_u4623), _u4625)) | ( _u4624 = _u4625) )).
% 20.36/20.53 cnf(fact_eq__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u4623) | ~class_Int_Oring__char__0(_u4623) | ( _u4624 != _u4625) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4623), _u4624) = hAPP(c_Int_Onumber__class_Onumber__of(_u4623), _u4625)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_number__of__reorient ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_number__of__reorient-1, axiom, ( ~class_Int_Onumber(_u4626) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4626), _u4627) != _u4628) | ( _u4628 = hAPP(c_Int_Onumber__class_Onumber__of(_u4626), _u4627)) )).
% 20.36/20.53 cnf(fact_number__of__reorient-2, axiom, ( ~class_Int_Onumber(_u4626) | ( _u4628 != hAPP(c_Int_Onumber__class_Onumber__of(_u4626), _u4627)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4626), _u4627) = _u4628) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_le__number__of ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_le__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u4629) | ~class_Rings_Olinordered__idom(_u4629) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4629), hAPP(c_Int_Onumber__class_Onumber__of(_u4629), _u4630)), hAPP(c_Int_Onumber__class_Onumber__of(_u4629), _u4631))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4630), _u4631)) )).
% 20.36/20.53 cnf(fact_le__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u4629) | ~class_Rings_Olinordered__idom(_u4629) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4630), _u4631)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4629), hAPP(c_Int_Onumber__class_Onumber__of(_u4629), _u4630)), hAPP(c_Int_Onumber__class_Onumber__of(_u4629), _u4631))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_less__number__of ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_less__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u4632) | ~class_Rings_Olinordered__idom(_u4632) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4632), hAPP(c_Int_Onumber__class_Onumber__of(_u4632), _u4633)), hAPP(c_Int_Onumber__class_Onumber__of(_u4632), _u4634))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4633), _u4634)) )).
% 20.36/20.53 cnf(fact_less__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u4632) | ~class_Rings_Olinordered__idom(_u4632) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4633), _u4634)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4632), hAPP(c_Int_Onumber__class_Onumber__of(_u4632), _u4633)), hAPP(c_Int_Onumber__class_Onumber__of(_u4632), _u4634))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_add__number__of__left ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_add__number__of__left-1, axiom, ( ~class_Int_Onumber__ring(_u4635) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4635), hAPP(c_Int_Onumber__class_Onumber__of(_u4635), _u4636)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4635), hAPP(c_Int_Onumber__class_Onumber__of(_u4635), _u4637)), _u4638)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4635), hAPP(c_Int_Onumber__class_Onumber__of(_u4635), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4636), _u4637))), _u4638)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_add__number__of__eq ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_add__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u4639) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4639), hAPP(c_Int_Onumber__class_Onumber__of(_u4639), _u4640)), hAPP(c_Int_Onumber__class_Onumber__of(_u4639), _u4641)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4639), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4640), _u4641))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_number__of__add ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_number__of__add-1, axiom, ( ~class_Int_Onumber__ring(_u4642) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4642), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4643), _u4644)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4642), hAPP(c_Int_Onumber__class_Onumber__of(_u4642), _u4643)), hAPP(c_Int_Onumber__class_Onumber__of(_u4642), _u4644))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_number__of__mult ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_number__of__mult-1, axiom, ( ~class_Int_Onumber__ring(_u4645) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4645), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4646), _u4647)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4645), hAPP(c_Int_Onumber__class_Onumber__of(_u4645), _u4646)), hAPP(c_Int_Onumber__class_Onumber__of(_u4645), _u4647))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_arith__simps_I32_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_arith__simps_I32_J-1, axiom, ( ~class_Int_Onumber__ring(_u4648) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4648), hAPP(c_Int_Onumber__class_Onumber__of(_u4648), _u4649)), hAPP(c_Int_Onumber__class_Onumber__of(_u4648), _u4650)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4648), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4649), _u4650))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__number__of__left ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__number__of__left-1, axiom, ( ~class_Int_Onumber__ring(_u4651) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4651), hAPP(c_Int_Onumber__class_Onumber__of(_u4651), _u4652)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4651), hAPP(c_Int_Onumber__class_Onumber__of(_u4651), _u4653)), _u4654)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4651), hAPP(c_Int_Onumber__class_Onumber__of(_u4651), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4652), _u4653))), _u4654)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_number__of__diff ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_number__of__diff-1, axiom, ( ~class_Int_Onumber__ring(_u4655) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4655), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4656), _u4657)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4655), hAPP(c_Int_Onumber__class_Onumber__of(_u4655), _u4656)), hAPP(c_Int_Onumber__class_Onumber__of(_u4655), _u4657))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_le__number__of__eq__not__less ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_le__number__of__eq__not__less-1, axiom, ( ~class_Int_Onumber(_u4658) | ~class_Orderings_Olinorder(_u4658) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4658), hAPP(c_Int_Onumber__class_Onumber__of(_u4658), _u4659)), hAPP(c_Int_Onumber__class_Onumber__of(_u4658), _u4660))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4658), hAPP(c_Int_Onumber__class_Onumber__of(_u4658), _u4660)), hAPP(c_Int_Onumber__class_Onumber__of(_u4658), _u4659))) )).
% 20.36/20.53 cnf(fact_le__number__of__eq__not__less-2, axiom, ( ~class_Int_Onumber(_u4658) | ~class_Orderings_Olinorder(_u4658) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4658), hAPP(c_Int_Onumber__class_Onumber__of(_u4658), _u4660)), hAPP(c_Int_Onumber__class_Onumber__of(_u4658), _u4659))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4658), hAPP(c_Int_Onumber__class_Onumber__of(_u4658), _u4659)), hAPP(c_Int_Onumber__class_Onumber__of(_u4658), _u4660))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_left__distrib__number__of ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_left__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u4661) | ~class_Rings_Osemiring(_u4661) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4661), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4661), _u4662), _u4663)), hAPP(c_Int_Onumber__class_Onumber__of(_u4661), _u4664)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4661), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4661), _u4662), hAPP(c_Int_Onumber__class_Onumber__of(_u4661), _u4664))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4661), _u4663), hAPP(c_Int_Onumber__class_Onumber__of(_u4661), _u4664)))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_right__distrib__number__of ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_right__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u4665) | ~class_Rings_Osemiring(_u4665) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4665), hAPP(c_Int_Onumber__class_Onumber__of(_u4665), _u4666)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4665), _u4667), _u4668)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4665), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4665), hAPP(c_Int_Onumber__class_Onumber__of(_u4665), _u4666)), _u4667)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4665), hAPP(c_Int_Onumber__class_Onumber__of(_u4665), _u4666)), _u4668))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_add__number__of__diff1 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_add__number__of__diff1-1, axiom, ( ~class_Int_Onumber__ring(_u4669) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4669), hAPP(c_Int_Onumber__class_Onumber__of(_u4669), _u4670)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4669), hAPP(c_Int_Onumber__class_Onumber__of(_u4669), _u4671)), _u4672)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4669), hAPP(c_Int_Onumber__class_Onumber__of(_u4669), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4670), _u4671))), _u4672)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_right__diff__distrib__number__of ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_right__diff__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u4673) | ~class_Rings_Oring(_u4673) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4673), hAPP(c_Int_Onumber__class_Onumber__of(_u4673), _u4674)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4673), _u4675), _u4676)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4673), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4673), hAPP(c_Int_Onumber__class_Onumber__of(_u4673), _u4674)), _u4675)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4673), hAPP(c_Int_Onumber__class_Onumber__of(_u4673), _u4674)), _u4676))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_left__diff__distrib__number__of ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_left__diff__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u4677) | ~class_Rings_Oring(_u4677) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4677), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4677), _u4678), _u4679)), hAPP(c_Int_Onumber__class_Onumber__of(_u4677), _u4680)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4677), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4677), _u4678), hAPP(c_Int_Onumber__class_Onumber__of(_u4677), _u4680))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4677), _u4679), hAPP(c_Int_Onumber__class_Onumber__of(_u4677), _u4680)))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_min__number__of ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_min__number__of-1, axiom, ( ~class_Int_Onumber(_u4681) | ~class_Orderings_Oord(_u4681) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4681), hAPP(c_Int_Onumber__class_Onumber__of(_u4681), _u4682)), hAPP(c_Int_Onumber__class_Onumber__of(_u4681), _u4683))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4681), hAPP(c_Int_Onumber__class_Onumber__of(_u4681), _u4682)), hAPP(c_Int_Onumber__class_Onumber__of(_u4681), _u4683)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4681), _u4682)) )).
% 20.36/20.53 cnf(fact_min__number__of-2, axiom, ( ~class_Int_Onumber(_u4681) | ~class_Orderings_Oord(_u4681) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4681), hAPP(c_Int_Onumber__class_Onumber__of(_u4681), _u4682)), hAPP(c_Int_Onumber__class_Onumber__of(_u4681), _u4683))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4681), hAPP(c_Int_Onumber__class_Onumber__of(_u4681), _u4682)), hAPP(c_Int_Onumber__class_Onumber__of(_u4681), _u4683)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4681), _u4683)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_Ints__number__of ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_Ints__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u4684) | hBOOL(hAPP(hAPP(c_member(_u4684), hAPP(c_Int_Onumber__class_Onumber__of(_u4684), _u4685)), c_Int_Oring__1__class_OInts(_u4684))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_divide__eq__eq__number__of1 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_divide__eq__eq__number__of1-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4686) | ~class_Int_Onumber(_u4686) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4686), _u4687), hAPP(c_Int_Onumber__class_Onumber__of(_u4686), _u4688)) != _u4689) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4686), _u4688) = c_Groups_Ozero__class_Ozero(_u4686)) | ( _u4687 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4686), _u4689), hAPP(c_Int_Onumber__class_Onumber__of(_u4686), _u4688))) )).
% 20.36/20.53 cnf(fact_divide__eq__eq__number__of1-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4686) | ~class_Int_Onumber(_u4686) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4686), _u4687), hAPP(c_Int_Onumber__class_Onumber__of(_u4686), _u4688)) != _u4689) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4686), _u4688) != c_Groups_Ozero__class_Ozero(_u4686)) | ( _u4689 = c_Groups_Ozero__class_Ozero(_u4686)) )).
% 20.36/20.53 cnf(fact_divide__eq__eq__number__of1-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4686) | ~class_Int_Onumber(_u4686) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4686), _u4687), hAPP(c_Int_Onumber__class_Onumber__of(_u4686), _u4688)) = _u4689) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4686), _u4688) != c_Groups_Ozero__class_Ozero(_u4686)) | ( _u4689 != c_Groups_Ozero__class_Ozero(_u4686)) )).
% 20.36/20.53 cnf(fact_divide__eq__eq__number__of1-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4686) | ~class_Int_Onumber(_u4686) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4686), _u4687), hAPP(c_Int_Onumber__class_Onumber__of(_u4686), _u4688)) = _u4689) | ( _u4687 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4686), _u4689), hAPP(c_Int_Onumber__class_Onumber__of(_u4686), _u4688))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4686), _u4688) = c_Groups_Ozero__class_Ozero(_u4686)) )).
% 20.36/20.53 cnf(fact_divide__eq__eq__number__of1-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4686) | ~class_Int_Onumber(_u4686) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4686), _u4687), hAPP(c_Int_Onumber__class_Onumber__of(_u4686), _u4688)) = _u4689) | ( _u4687 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4686), _u4689), hAPP(c_Int_Onumber__class_Onumber__of(_u4686), _u4688))) | ( _u4689 != c_Groups_Ozero__class_Ozero(_u4686)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_divide__eq__eq__number__of ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_divide__eq__eq__number__of-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4690) | ~class_Int_Onumber(_u4690) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4690), _u4691), _u4692) != hAPP(c_Int_Onumber__class_Onumber__of(_u4690), _u4693)) | ( _u4692 = c_Groups_Ozero__class_Ozero(_u4690)) | ( _u4691 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4690), hAPP(c_Int_Onumber__class_Onumber__of(_u4690), _u4693)), _u4692)) )).
% 20.36/20.53 cnf(fact_divide__eq__eq__number__of-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4690) | ~class_Int_Onumber(_u4690) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4690), _u4691), _u4692) != hAPP(c_Int_Onumber__class_Onumber__of(_u4690), _u4693)) | ( _u4692 != c_Groups_Ozero__class_Ozero(_u4690)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4690), _u4693) = c_Groups_Ozero__class_Ozero(_u4690)) )).
% 20.36/20.53 cnf(fact_divide__eq__eq__number__of-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4690) | ~class_Int_Onumber(_u4690) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4690), _u4691), _u4692) = hAPP(c_Int_Onumber__class_Onumber__of(_u4690), _u4693)) | ( _u4692 != c_Groups_Ozero__class_Ozero(_u4690)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4690), _u4693) != c_Groups_Ozero__class_Ozero(_u4690)) )).
% 20.36/20.53 cnf(fact_divide__eq__eq__number__of-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4690) | ~class_Int_Onumber(_u4690) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4690), _u4691), _u4692) = hAPP(c_Int_Onumber__class_Onumber__of(_u4690), _u4693)) | ( _u4691 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4690), hAPP(c_Int_Onumber__class_Onumber__of(_u4690), _u4693)), _u4692)) | ( _u4692 = c_Groups_Ozero__class_Ozero(_u4690)) )).
% 20.36/20.53 cnf(fact_divide__eq__eq__number__of-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4690) | ~class_Int_Onumber(_u4690) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4690), _u4691), _u4692) = hAPP(c_Int_Onumber__class_Onumber__of(_u4690), _u4693)) | ( _u4691 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4690), hAPP(c_Int_Onumber__class_Onumber__of(_u4690), _u4693)), _u4692)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4690), _u4693) != c_Groups_Ozero__class_Ozero(_u4690)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_eq__divide__eq__number__of ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_eq__divide__eq__number__of-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4694) | ~class_Int_Onumber(_u4694) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4694), _u4695) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4694), _u4696), _u4697)) | ( _u4697 = c_Groups_Ozero__class_Ozero(_u4694)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4694), hAPP(c_Int_Onumber__class_Onumber__of(_u4694), _u4695)), _u4697) = _u4696) )).
% 20.36/20.53 cnf(fact_eq__divide__eq__number__of-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4694) | ~class_Int_Onumber(_u4694) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4694), _u4695) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4694), _u4696), _u4697)) | ( _u4697 != c_Groups_Ozero__class_Ozero(_u4694)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4694), _u4695) = c_Groups_Ozero__class_Ozero(_u4694)) )).
% 20.36/20.53 cnf(fact_eq__divide__eq__number__of-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4694) | ~class_Int_Onumber(_u4694) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4694), _u4695) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4694), _u4696), _u4697)) | ( _u4697 != c_Groups_Ozero__class_Ozero(_u4694)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4694), _u4695) != c_Groups_Ozero__class_Ozero(_u4694)) )).
% 20.36/20.53 cnf(fact_eq__divide__eq__number__of-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4694) | ~class_Int_Onumber(_u4694) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4694), _u4695) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4694), _u4696), _u4697)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4694), hAPP(c_Int_Onumber__class_Onumber__of(_u4694), _u4695)), _u4697) != _u4696) | ( _u4697 = c_Groups_Ozero__class_Ozero(_u4694)) )).
% 20.36/20.53 cnf(fact_eq__divide__eq__number__of-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4694) | ~class_Int_Onumber(_u4694) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4694), _u4695) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4694), _u4696), _u4697)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4694), hAPP(c_Int_Onumber__class_Onumber__of(_u4694), _u4695)), _u4697) != _u4696) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4694), _u4695) != c_Groups_Ozero__class_Ozero(_u4694)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_eq__divide__eq__number__of1 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_eq__divide__eq__number__of1-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4698) | ~class_Int_Onumber(_u4698) | ( _u4699 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4698), _u4700), hAPP(c_Int_Onumber__class_Onumber__of(_u4698), _u4701))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4698), _u4701) = c_Groups_Ozero__class_Ozero(_u4698)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4698), _u4699), hAPP(c_Int_Onumber__class_Onumber__of(_u4698), _u4701)) = _u4700) )).
% 20.36/20.53 cnf(fact_eq__divide__eq__number__of1-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4698) | ~class_Int_Onumber(_u4698) | ( _u4699 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4698), _u4700), hAPP(c_Int_Onumber__class_Onumber__of(_u4698), _u4701))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4698), _u4701) != c_Groups_Ozero__class_Ozero(_u4698)) | ( _u4699 = c_Groups_Ozero__class_Ozero(_u4698)) )).
% 20.36/20.53 cnf(fact_eq__divide__eq__number__of1-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4698) | ~class_Int_Onumber(_u4698) | ( _u4699 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4698), _u4700), hAPP(c_Int_Onumber__class_Onumber__of(_u4698), _u4701))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4698), _u4701) != c_Groups_Ozero__class_Ozero(_u4698)) | ( _u4699 != c_Groups_Ozero__class_Ozero(_u4698)) )).
% 20.36/20.53 cnf(fact_eq__divide__eq__number__of1-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4698) | ~class_Int_Onumber(_u4698) | ( _u4699 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4698), _u4700), hAPP(c_Int_Onumber__class_Onumber__of(_u4698), _u4701))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4698), _u4699), hAPP(c_Int_Onumber__class_Onumber__of(_u4698), _u4701)) != _u4700) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4698), _u4701) = c_Groups_Ozero__class_Ozero(_u4698)) )).
% 20.36/20.53 cnf(fact_eq__divide__eq__number__of1-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4698) | ~class_Int_Onumber(_u4698) | ( _u4699 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4698), _u4700), hAPP(c_Int_Onumber__class_Onumber__of(_u4698), _u4701))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4698), _u4699), hAPP(c_Int_Onumber__class_Onumber__of(_u4698), _u4701)) != _u4700) | ( _u4699 != c_Groups_Ozero__class_Ozero(_u4698)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_divide__less__eq__number__of1 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_divide__less__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4702) | ~class_Int_Onumber(_u4702) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4702), _u4703), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704))), _u4705)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), c_Groups_Ozero__class_Ozero(_u4702)), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), _u4703), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4702), _u4705), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704)))) )).
% 20.36/20.53 cnf(fact_divide__less__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4702) | ~class_Int_Onumber(_u4702) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4702), _u4703), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704))), _u4705)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), c_Groups_Ozero__class_Ozero(_u4702)), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704)), c_Groups_Ozero__class_Ozero(_u4702))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4702), _u4705), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704))), _u4703)) )).
% 20.36/20.53 cnf(fact_divide__less__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4702) | ~class_Int_Onumber(_u4702) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4702), _u4703), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704))), _u4705)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), c_Groups_Ozero__class_Ozero(_u4702)), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704)), c_Groups_Ozero__class_Ozero(_u4702))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), c_Groups_Ozero__class_Ozero(_u4702)), _u4705)) )).
% 20.36/20.53 cnf(fact_divide__less__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4702) | ~class_Int_Onumber(_u4702) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4702), _u4703), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704))), _u4705)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), c_Groups_Ozero__class_Ozero(_u4702)), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704)), c_Groups_Ozero__class_Ozero(_u4702))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), c_Groups_Ozero__class_Ozero(_u4702)), _u4705)) )).
% 20.36/20.53 cnf(fact_divide__less__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4702) | ~class_Int_Onumber(_u4702) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4702), _u4703), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704))), _u4705)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), c_Groups_Ozero__class_Ozero(_u4702)), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4702), _u4705), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704))), _u4703)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704)), c_Groups_Ozero__class_Ozero(_u4702))) )).
% 20.36/20.53 cnf(fact_divide__less__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4702) | ~class_Int_Onumber(_u4702) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4702), _u4703), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704))), _u4705)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), c_Groups_Ozero__class_Ozero(_u4702)), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4702), _u4705), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704))), _u4703)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), c_Groups_Ozero__class_Ozero(_u4702)), _u4705)) )).
% 20.36/20.53 cnf(fact_divide__less__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4702) | ~class_Int_Onumber(_u4702) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4702), _u4703), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704))), _u4705)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), _u4703), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4702), _u4705), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), c_Groups_Ozero__class_Ozero(_u4702)), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704))) )).
% 20.36/20.53 cnf(fact_divide__less__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4702) | ~class_Int_Onumber(_u4702) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4702), _u4703), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704))), _u4705)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), _u4703), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4702), _u4705), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704)), c_Groups_Ozero__class_Ozero(_u4702))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), c_Groups_Ozero__class_Ozero(_u4702)), _u4705)) )).
% 20.36/20.53 cnf(fact_divide__less__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4702) | ~class_Int_Onumber(_u4702) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4702), _u4703), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704))), _u4705)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), _u4703), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4702), _u4705), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4702), _u4705), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704))), _u4703)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704)), c_Groups_Ozero__class_Ozero(_u4702))) )).
% 20.36/20.53 cnf(fact_divide__less__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4702) | ~class_Int_Onumber(_u4702) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4702), _u4703), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704))), _u4705)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), _u4703), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4702), _u4705), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4702), _u4705), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704))), _u4703)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), c_Groups_Ozero__class_Ozero(_u4702)), _u4705)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_divide__less__eq__number__of ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_divide__less__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4706) | ~class_Int_Onumber(_u4706) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4706), _u4707), _u4708)), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), c_Groups_Ozero__class_Ozero(_u4706)), _u4708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), _u4707), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4706), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709)), _u4708))) )).
% 20.36/20.53 cnf(fact_divide__less__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4706) | ~class_Int_Onumber(_u4706) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4706), _u4707), _u4708)), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), c_Groups_Ozero__class_Ozero(_u4706)), _u4708)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), _u4708), c_Groups_Ozero__class_Ozero(_u4706))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4706), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709)), _u4708)), _u4707)) )).
% 20.36/20.53 cnf(fact_divide__less__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4706) | ~class_Int_Onumber(_u4706) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4706), _u4707), _u4708)), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), c_Groups_Ozero__class_Ozero(_u4706)), _u4708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), _u4708), c_Groups_Ozero__class_Ozero(_u4706))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), c_Groups_Ozero__class_Ozero(_u4706)), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709))) )).
% 20.36/20.53 cnf(fact_divide__less__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4706) | ~class_Int_Onumber(_u4706) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4706), _u4707), _u4708)), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), c_Groups_Ozero__class_Ozero(_u4706)), _u4708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), _u4708), c_Groups_Ozero__class_Ozero(_u4706))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), c_Groups_Ozero__class_Ozero(_u4706)), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709))) )).
% 20.36/20.53 cnf(fact_divide__less__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4706) | ~class_Int_Onumber(_u4706) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4706), _u4707), _u4708)), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), c_Groups_Ozero__class_Ozero(_u4706)), _u4708)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4706), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709)), _u4708)), _u4707)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), _u4708), c_Groups_Ozero__class_Ozero(_u4706))) )).
% 20.36/20.53 cnf(fact_divide__less__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4706) | ~class_Int_Onumber(_u4706) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4706), _u4707), _u4708)), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), c_Groups_Ozero__class_Ozero(_u4706)), _u4708)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4706), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709)), _u4708)), _u4707)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), c_Groups_Ozero__class_Ozero(_u4706)), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709))) )).
% 20.36/20.53 cnf(fact_divide__less__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4706) | ~class_Int_Onumber(_u4706) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4706), _u4707), _u4708)), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), _u4707), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4706), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709)), _u4708))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), c_Groups_Ozero__class_Ozero(_u4706)), _u4708)) )).
% 20.36/20.53 cnf(fact_divide__less__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4706) | ~class_Int_Onumber(_u4706) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4706), _u4707), _u4708)), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), _u4707), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4706), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709)), _u4708))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), _u4708), c_Groups_Ozero__class_Ozero(_u4706))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), c_Groups_Ozero__class_Ozero(_u4706)), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709))) )).
% 20.36/20.53 cnf(fact_divide__less__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4706) | ~class_Int_Onumber(_u4706) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4706), _u4707), _u4708)), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), _u4707), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4706), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709)), _u4708))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4706), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709)), _u4708)), _u4707)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), _u4708), c_Groups_Ozero__class_Ozero(_u4706))) )).
% 20.36/20.53 cnf(fact_divide__less__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4706) | ~class_Int_Onumber(_u4706) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4706), _u4707), _u4708)), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), _u4707), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4706), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709)), _u4708))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4706), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709)), _u4708)), _u4707)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), c_Groups_Ozero__class_Ozero(_u4706)), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_less__divide__eq__number__of ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_less__divide__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4710) | ~class_Int_Onumber(_u4710) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4710), _u4712), _u4713))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), c_Groups_Ozero__class_Ozero(_u4710)), _u4713)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), _u4713)), _u4712)) )).
% 20.36/20.53 cnf(fact_less__divide__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4710) | ~class_Int_Onumber(_u4710) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4710), _u4712), _u4713))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), c_Groups_Ozero__class_Ozero(_u4710)), _u4713)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), _u4713), c_Groups_Ozero__class_Ozero(_u4710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), _u4712), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), _u4713))) )).
% 20.36/20.53 cnf(fact_less__divide__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4710) | ~class_Int_Onumber(_u4710) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4710), _u4712), _u4713))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), c_Groups_Ozero__class_Ozero(_u4710)), _u4713)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), _u4713), c_Groups_Ozero__class_Ozero(_u4710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), c_Groups_Ozero__class_Ozero(_u4710))) )).
% 20.36/20.53 cnf(fact_less__divide__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4710) | ~class_Int_Onumber(_u4710) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4710), _u4712), _u4713))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), c_Groups_Ozero__class_Ozero(_u4710)), _u4713)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), _u4713), c_Groups_Ozero__class_Ozero(_u4710))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), c_Groups_Ozero__class_Ozero(_u4710))) )).
% 20.36/20.53 cnf(fact_less__divide__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4710) | ~class_Int_Onumber(_u4710) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4710), _u4712), _u4713))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), c_Groups_Ozero__class_Ozero(_u4710)), _u4713)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), _u4712), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), _u4713))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), _u4713), c_Groups_Ozero__class_Ozero(_u4710))) )).
% 20.36/20.53 cnf(fact_less__divide__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4710) | ~class_Int_Onumber(_u4710) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4710), _u4712), _u4713))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), c_Groups_Ozero__class_Ozero(_u4710)), _u4713)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), _u4712), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), _u4713))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), c_Groups_Ozero__class_Ozero(_u4710))) )).
% 20.36/20.53 cnf(fact_less__divide__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4710) | ~class_Int_Onumber(_u4710) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4710), _u4712), _u4713))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), _u4713)), _u4712)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), c_Groups_Ozero__class_Ozero(_u4710)), _u4713)) )).
% 20.36/20.53 cnf(fact_less__divide__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4710) | ~class_Int_Onumber(_u4710) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4710), _u4712), _u4713))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), _u4713)), _u4712)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), _u4713), c_Groups_Ozero__class_Ozero(_u4710))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), c_Groups_Ozero__class_Ozero(_u4710))) )).
% 20.36/20.53 cnf(fact_less__divide__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4710) | ~class_Int_Onumber(_u4710) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4710), _u4712), _u4713))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), _u4713)), _u4712)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), _u4712), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), _u4713))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), _u4713), c_Groups_Ozero__class_Ozero(_u4710))) )).
% 20.36/20.53 cnf(fact_less__divide__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4710) | ~class_Int_Onumber(_u4710) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4710), _u4712), _u4713))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), _u4713)), _u4712)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), _u4712), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), _u4713))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), c_Groups_Ozero__class_Ozero(_u4710))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_less__divide__eq__number__of1 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_less__divide__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4714) | ~class_Int_Onumber(_u4714) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), _u4715), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4714), _u4716), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), c_Groups_Ozero__class_Ozero(_u4714)), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4714), _u4715), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717))), _u4716)) )).
% 20.36/20.53 cnf(fact_less__divide__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4714) | ~class_Int_Onumber(_u4714) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), _u4715), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4714), _u4716), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), c_Groups_Ozero__class_Ozero(_u4714)), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717)), c_Groups_Ozero__class_Ozero(_u4714))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), _u4716), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4714), _u4715), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717)))) )).
% 20.36/20.53 cnf(fact_less__divide__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4714) | ~class_Int_Onumber(_u4714) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), _u4715), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4714), _u4716), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), c_Groups_Ozero__class_Ozero(_u4714)), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717)), c_Groups_Ozero__class_Ozero(_u4714))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), _u4715), c_Groups_Ozero__class_Ozero(_u4714))) )).
% 20.36/20.53 cnf(fact_less__divide__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4714) | ~class_Int_Onumber(_u4714) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), _u4715), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4714), _u4716), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), c_Groups_Ozero__class_Ozero(_u4714)), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717)), c_Groups_Ozero__class_Ozero(_u4714))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), _u4715), c_Groups_Ozero__class_Ozero(_u4714))) )).
% 20.36/20.53 cnf(fact_less__divide__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4714) | ~class_Int_Onumber(_u4714) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), _u4715), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4714), _u4716), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), c_Groups_Ozero__class_Ozero(_u4714)), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), _u4716), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4714), _u4715), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717)), c_Groups_Ozero__class_Ozero(_u4714))) )).
% 20.36/20.53 cnf(fact_less__divide__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4714) | ~class_Int_Onumber(_u4714) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), _u4715), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4714), _u4716), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), c_Groups_Ozero__class_Ozero(_u4714)), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), _u4716), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4714), _u4715), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), _u4715), c_Groups_Ozero__class_Ozero(_u4714))) )).
% 20.36/20.53 cnf(fact_less__divide__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4714) | ~class_Int_Onumber(_u4714) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), _u4715), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4714), _u4716), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4714), _u4715), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717))), _u4716)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), c_Groups_Ozero__class_Ozero(_u4714)), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717))) )).
% 20.36/20.53 cnf(fact_less__divide__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4714) | ~class_Int_Onumber(_u4714) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), _u4715), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4714), _u4716), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4714), _u4715), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717))), _u4716)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717)), c_Groups_Ozero__class_Ozero(_u4714))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), _u4715), c_Groups_Ozero__class_Ozero(_u4714))) )).
% 20.36/20.53 cnf(fact_less__divide__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4714) | ~class_Int_Onumber(_u4714) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), _u4715), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4714), _u4716), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4714), _u4715), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717))), _u4716)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), _u4716), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4714), _u4715), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717)), c_Groups_Ozero__class_Ozero(_u4714))) )).
% 20.36/20.53 cnf(fact_less__divide__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4714) | ~class_Int_Onumber(_u4714) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), _u4715), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4714), _u4716), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4714), _u4715), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717))), _u4716)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), _u4716), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4714), _u4715), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), _u4715), c_Groups_Ozero__class_Ozero(_u4714))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_le__divide__eq__number__of1 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_le__divide__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4718) | ~class_Int_Onumber(_u4718) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), _u4719), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4718), _u4720), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4718), c_Groups_Ozero__class_Ozero(_u4718)), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4718), _u4719), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721))), _u4720)) )).
% 20.36/20.53 cnf(fact_le__divide__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4718) | ~class_Int_Onumber(_u4718) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), _u4719), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4718), _u4720), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4718), c_Groups_Ozero__class_Ozero(_u4718)), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4718), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721)), c_Groups_Ozero__class_Ozero(_u4718))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), _u4720), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4718), _u4719), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721)))) )).
% 20.36/20.53 cnf(fact_le__divide__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4718) | ~class_Int_Onumber(_u4718) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), _u4719), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4718), _u4720), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4718), c_Groups_Ozero__class_Ozero(_u4718)), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4718), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721)), c_Groups_Ozero__class_Ozero(_u4718))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), _u4719), c_Groups_Ozero__class_Ozero(_u4718))) )).
% 20.36/20.53 cnf(fact_le__divide__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4718) | ~class_Int_Onumber(_u4718) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), _u4719), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4718), _u4720), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4718), c_Groups_Ozero__class_Ozero(_u4718)), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4718), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721)), c_Groups_Ozero__class_Ozero(_u4718))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), _u4719), c_Groups_Ozero__class_Ozero(_u4718))) )).
% 20.36/20.53 cnf(fact_le__divide__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4718) | ~class_Int_Onumber(_u4718) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), _u4719), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4718), _u4720), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4718), c_Groups_Ozero__class_Ozero(_u4718)), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), _u4720), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4718), _u4719), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4718), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721)), c_Groups_Ozero__class_Ozero(_u4718))) )).
% 20.36/20.53 cnf(fact_le__divide__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4718) | ~class_Int_Onumber(_u4718) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), _u4719), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4718), _u4720), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4718), c_Groups_Ozero__class_Ozero(_u4718)), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), _u4720), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4718), _u4719), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), _u4719), c_Groups_Ozero__class_Ozero(_u4718))) )).
% 20.36/20.53 cnf(fact_le__divide__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4718) | ~class_Int_Onumber(_u4718) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), _u4719), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4718), _u4720), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4718), _u4719), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721))), _u4720)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4718), c_Groups_Ozero__class_Ozero(_u4718)), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721))) )).
% 20.36/20.53 cnf(fact_le__divide__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4718) | ~class_Int_Onumber(_u4718) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), _u4719), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4718), _u4720), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4718), _u4719), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721))), _u4720)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4718), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721)), c_Groups_Ozero__class_Ozero(_u4718))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), _u4719), c_Groups_Ozero__class_Ozero(_u4718))) )).
% 20.36/20.53 cnf(fact_le__divide__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4718) | ~class_Int_Onumber(_u4718) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), _u4719), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4718), _u4720), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4718), _u4719), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721))), _u4720)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), _u4720), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4718), _u4719), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4718), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721)), c_Groups_Ozero__class_Ozero(_u4718))) )).
% 20.36/20.53 cnf(fact_le__divide__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4718) | ~class_Int_Onumber(_u4718) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), _u4719), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4718), _u4720), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4718), _u4719), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721))), _u4720)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), _u4720), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4718), _u4719), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), _u4719), c_Groups_Ozero__class_Ozero(_u4718))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_le__divide__eq__number__of ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_le__divide__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4722) | ~class_Int_Onumber(_u4722) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4722), _u4724), _u4725))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4722), c_Groups_Ozero__class_Ozero(_u4722)), _u4725)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), _u4725)), _u4724)) )).
% 20.36/20.53 cnf(fact_le__divide__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4722) | ~class_Int_Onumber(_u4722) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4722), _u4724), _u4725))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4722), c_Groups_Ozero__class_Ozero(_u4722)), _u4725)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4722), _u4725), c_Groups_Ozero__class_Ozero(_u4722))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), _u4724), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), _u4725))) )).
% 20.36/20.53 cnf(fact_le__divide__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4722) | ~class_Int_Onumber(_u4722) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4722), _u4724), _u4725))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4722), c_Groups_Ozero__class_Ozero(_u4722)), _u4725)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4722), _u4725), c_Groups_Ozero__class_Ozero(_u4722))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), c_Groups_Ozero__class_Ozero(_u4722))) )).
% 20.36/20.53 cnf(fact_le__divide__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4722) | ~class_Int_Onumber(_u4722) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4722), _u4724), _u4725))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4722), c_Groups_Ozero__class_Ozero(_u4722)), _u4725)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4722), _u4725), c_Groups_Ozero__class_Ozero(_u4722))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), c_Groups_Ozero__class_Ozero(_u4722))) )).
% 20.36/20.53 cnf(fact_le__divide__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4722) | ~class_Int_Onumber(_u4722) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4722), _u4724), _u4725))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4722), c_Groups_Ozero__class_Ozero(_u4722)), _u4725)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), _u4724), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), _u4725))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4722), _u4725), c_Groups_Ozero__class_Ozero(_u4722))) )).
% 20.36/20.53 cnf(fact_le__divide__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4722) | ~class_Int_Onumber(_u4722) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4722), _u4724), _u4725))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4722), c_Groups_Ozero__class_Ozero(_u4722)), _u4725)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), _u4724), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), _u4725))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), c_Groups_Ozero__class_Ozero(_u4722))) )).
% 20.36/20.53 cnf(fact_le__divide__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4722) | ~class_Int_Onumber(_u4722) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4722), _u4724), _u4725))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), _u4725)), _u4724)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4722), c_Groups_Ozero__class_Ozero(_u4722)), _u4725)) )).
% 20.36/20.53 cnf(fact_le__divide__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4722) | ~class_Int_Onumber(_u4722) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4722), _u4724), _u4725))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), _u4725)), _u4724)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4722), _u4725), c_Groups_Ozero__class_Ozero(_u4722))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), c_Groups_Ozero__class_Ozero(_u4722))) )).
% 20.36/20.53 cnf(fact_le__divide__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4722) | ~class_Int_Onumber(_u4722) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4722), _u4724), _u4725))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), _u4725)), _u4724)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), _u4724), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), _u4725))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4722), _u4725), c_Groups_Ozero__class_Ozero(_u4722))) )).
% 20.36/20.53 cnf(fact_le__divide__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4722) | ~class_Int_Onumber(_u4722) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4722), _u4724), _u4725))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), _u4725)), _u4724)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), _u4724), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), _u4725))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), c_Groups_Ozero__class_Ozero(_u4722))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_divide__le__eq__number__of ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_divide__le__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4726) | ~class_Int_Onumber(_u4726) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4726), _u4727), _u4728)), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4726), c_Groups_Ozero__class_Ozero(_u4726)), _u4728)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), _u4727), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4726), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729)), _u4728))) )).
% 20.36/20.53 cnf(fact_divide__le__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4726) | ~class_Int_Onumber(_u4726) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4726), _u4727), _u4728)), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4726), c_Groups_Ozero__class_Ozero(_u4726)), _u4728)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4726), _u4728), c_Groups_Ozero__class_Ozero(_u4726))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4726), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729)), _u4728)), _u4727)) )).
% 20.36/20.53 cnf(fact_divide__le__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4726) | ~class_Int_Onumber(_u4726) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4726), _u4727), _u4728)), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4726), c_Groups_Ozero__class_Ozero(_u4726)), _u4728)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4726), _u4728), c_Groups_Ozero__class_Ozero(_u4726))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), c_Groups_Ozero__class_Ozero(_u4726)), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729))) )).
% 20.36/20.53 cnf(fact_divide__le__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4726) | ~class_Int_Onumber(_u4726) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4726), _u4727), _u4728)), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4726), c_Groups_Ozero__class_Ozero(_u4726)), _u4728)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4726), _u4728), c_Groups_Ozero__class_Ozero(_u4726))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), c_Groups_Ozero__class_Ozero(_u4726)), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729))) )).
% 20.36/20.53 cnf(fact_divide__le__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4726) | ~class_Int_Onumber(_u4726) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4726), _u4727), _u4728)), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4726), c_Groups_Ozero__class_Ozero(_u4726)), _u4728)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4726), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729)), _u4728)), _u4727)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4726), _u4728), c_Groups_Ozero__class_Ozero(_u4726))) )).
% 20.36/20.53 cnf(fact_divide__le__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4726) | ~class_Int_Onumber(_u4726) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4726), _u4727), _u4728)), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4726), c_Groups_Ozero__class_Ozero(_u4726)), _u4728)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4726), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729)), _u4728)), _u4727)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), c_Groups_Ozero__class_Ozero(_u4726)), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729))) )).
% 20.36/20.53 cnf(fact_divide__le__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4726) | ~class_Int_Onumber(_u4726) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4726), _u4727), _u4728)), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), _u4727), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4726), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729)), _u4728))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4726), c_Groups_Ozero__class_Ozero(_u4726)), _u4728)) )).
% 20.36/20.53 cnf(fact_divide__le__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4726) | ~class_Int_Onumber(_u4726) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4726), _u4727), _u4728)), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), _u4727), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4726), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729)), _u4728))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4726), _u4728), c_Groups_Ozero__class_Ozero(_u4726))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), c_Groups_Ozero__class_Ozero(_u4726)), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729))) )).
% 20.36/20.53 cnf(fact_divide__le__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4726) | ~class_Int_Onumber(_u4726) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4726), _u4727), _u4728)), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), _u4727), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4726), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729)), _u4728))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4726), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729)), _u4728)), _u4727)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4726), _u4728), c_Groups_Ozero__class_Ozero(_u4726))) )).
% 20.36/20.53 cnf(fact_divide__le__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4726) | ~class_Int_Onumber(_u4726) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4726), _u4727), _u4728)), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), _u4727), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4726), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729)), _u4728))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4726), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729)), _u4728)), _u4727)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), c_Groups_Ozero__class_Ozero(_u4726)), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_divide__le__eq__number__of1 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_divide__le__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4730) | ~class_Int_Onumber(_u4730) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4730), _u4731), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732))), _u4733)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4730), c_Groups_Ozero__class_Ozero(_u4730)), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), _u4731), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4730), _u4733), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732)))) )).
% 20.36/20.53 cnf(fact_divide__le__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4730) | ~class_Int_Onumber(_u4730) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4730), _u4731), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732))), _u4733)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4730), c_Groups_Ozero__class_Ozero(_u4730)), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4730), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732)), c_Groups_Ozero__class_Ozero(_u4730))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4730), _u4733), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732))), _u4731)) )).
% 20.36/20.53 cnf(fact_divide__le__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4730) | ~class_Int_Onumber(_u4730) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4730), _u4731), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732))), _u4733)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4730), c_Groups_Ozero__class_Ozero(_u4730)), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4730), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732)), c_Groups_Ozero__class_Ozero(_u4730))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), c_Groups_Ozero__class_Ozero(_u4730)), _u4733)) )).
% 20.36/20.53 cnf(fact_divide__le__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4730) | ~class_Int_Onumber(_u4730) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4730), _u4731), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732))), _u4733)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4730), c_Groups_Ozero__class_Ozero(_u4730)), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4730), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732)), c_Groups_Ozero__class_Ozero(_u4730))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), c_Groups_Ozero__class_Ozero(_u4730)), _u4733)) )).
% 20.36/20.53 cnf(fact_divide__le__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4730) | ~class_Int_Onumber(_u4730) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4730), _u4731), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732))), _u4733)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4730), c_Groups_Ozero__class_Ozero(_u4730)), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4730), _u4733), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732))), _u4731)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4730), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732)), c_Groups_Ozero__class_Ozero(_u4730))) )).
% 20.36/20.53 cnf(fact_divide__le__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4730) | ~class_Int_Onumber(_u4730) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4730), _u4731), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732))), _u4733)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4730), c_Groups_Ozero__class_Ozero(_u4730)), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4730), _u4733), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732))), _u4731)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), c_Groups_Ozero__class_Ozero(_u4730)), _u4733)) )).
% 20.36/20.53 cnf(fact_divide__le__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4730) | ~class_Int_Onumber(_u4730) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4730), _u4731), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732))), _u4733)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), _u4731), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4730), _u4733), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4730), c_Groups_Ozero__class_Ozero(_u4730)), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732))) )).
% 20.36/20.53 cnf(fact_divide__le__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4730) | ~class_Int_Onumber(_u4730) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4730), _u4731), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732))), _u4733)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), _u4731), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4730), _u4733), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4730), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732)), c_Groups_Ozero__class_Ozero(_u4730))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), c_Groups_Ozero__class_Ozero(_u4730)), _u4733)) )).
% 20.36/20.53 cnf(fact_divide__le__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4730) | ~class_Int_Onumber(_u4730) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4730), _u4731), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732))), _u4733)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), _u4731), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4730), _u4733), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4730), _u4733), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732))), _u4731)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4730), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732)), c_Groups_Ozero__class_Ozero(_u4730))) )).
% 20.36/20.53 cnf(fact_divide__le__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4730) | ~class_Int_Onumber(_u4730) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4730), _u4731), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732))), _u4733)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), _u4731), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4730), _u4733), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4730), _u4733), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732))), _u4731)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), c_Groups_Ozero__class_Ozero(_u4730)), _u4733)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_com_Osize_I3_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_com_Osize_I3_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OLocal(_u4734, _u4735, _u4736)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Com_Ocom_Ocom__size(_u4736)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_com_Osize_I11_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_com_Osize_I11_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OLocal(_u4737, _u4738, _u4739)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u4739)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_UnionE ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_UnionE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4741), _u4742), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u4741, tc_HOL_Obool), _u4743))) | hBOOL(hAPP(hAPP(c_member(_u4741), _u4742), skolem105(_u4743, _u4742, _u4741))) )).
% 20.36/20.53 cnf(fact_UnionE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4741), _u4742), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u4741, tc_HOL_Obool), _u4743))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u4741, tc_HOL_Obool)), skolem105(_u4743, _u4742, _u4741)), _u4743)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_setprod__pos ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_setprod__pos-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4745) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4745), c_Groups_Ozero__class_Ozero(_u4745)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4746, _u4745), _u4748), _u4747))) | hBOOL(hAPP(hAPP(c_member(_u4746), skolem106(_u4748, _u4747, _u4746, _u4745)), _u4747)) )).
% 20.36/20.53 cnf(fact_setprod__pos-2, axiom, ( ~class_Rings_Olinordered__semidom(_u4745) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4745), c_Groups_Ozero__class_Ozero(_u4745)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4746, _u4745), _u4748), _u4747))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4745), c_Groups_Ozero__class_Ozero(_u4745)), hAPP(_u4748, skolem106(_u4748, _u4747, _u4746, _u4745)))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_setprod__nonneg ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_setprod__nonneg-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4750) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4750), c_Groups_Ozero__class_Ozero(_u4750)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4751, _u4750), _u4753), _u4752))) | hBOOL(hAPP(hAPP(c_member(_u4751), skolem107(_u4753, _u4752, _u4751, _u4750)), _u4752)) )).
% 20.36/20.53 cnf(fact_setprod__nonneg-2, axiom, ( ~class_Rings_Olinordered__semidom(_u4750) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4750), c_Groups_Ozero__class_Ozero(_u4750)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4751, _u4750), _u4753), _u4752))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4750), c_Groups_Ozero__class_Ozero(_u4750)), hAPP(_u4753, skolem107(_u4753, _u4752, _u4751, _u4750)))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_number__of__succ ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_number__of__succ-1, axiom, ( ~class_Int_Onumber__ring(_u4754) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4754), c_Int_Osucc(_u4755)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4754), c_Groups_Oone__class_Oone(_u4754)), hAPP(c_Int_Onumber__class_Onumber__of(_u4754), _u4755))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_field__le__epsilon ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_field__le__epsilon-1, axiom, ( ~class_Fields_Olinordered__field(_u4757) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4757), _u4758), _u4759)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4757), c_Groups_Ozero__class_Ozero(_u4757)), skolem108(_u4759, _u4758, _u4757))) )).
% 20.36/20.53 cnf(fact_field__le__epsilon-2, axiom, ( ~class_Fields_Olinordered__field(_u4757) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4757), _u4758), _u4759)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4757), _u4758), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4757), _u4759), skolem108(_u4759, _u4758, _u4757)))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_less__eq__number__of__int__code ( axiom ) converted to clauses:
% 20.36/20.53 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), _u4762)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4764))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4762), _u4764)) )).
% 20.36/20.53 cnf(fact_less__eq__number__of__int__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4763), _u4765)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4763)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4765))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_plus__numeral__code_I9_J ( axiom ) converted to clauses:
% 20.36/20.53 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), _u4766)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4767)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4766), _u4767))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_times__numeral__code_I5_J ( axiom ) converted to clauses:
% 20.36/20.53 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), _u4768)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4769)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4768), _u4769))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_less__number__of__int__code ( axiom ) converted to clauses:
% 20.36/20.53 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), _u4772)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4774))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4772), _u4774)) )).
% 20.36/20.53 cnf(fact_less__number__of__int__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4773), _u4775)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4773)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4775))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_odd__nonzero ( axiom ) converted to clauses:
% 20.36/20.53 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)), _u4776)), _u4776) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_odd__less__0 ( axiom ) converted to clauses:
% 20.36/20.53 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)), _u4778)), _u4778)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4778), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.53 cnf(fact_odd__less__0-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4779), 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)), _u4779)), _u4779)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_int__0__less__1 ( axiom ) converted to clauses:
% 20.36/20.53 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))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_pos__zmult__eq__1__iff ( axiom ) converted to clauses:
% 20.36/20.53 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)), _u4780)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4780), _u4781) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4780 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 20.36/20.53 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)), _u4780)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4780), _u4781) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4781 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 20.36/20.53 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)), _u4780)) | ( _u4780 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4781 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4780), _u4781) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_int__one__le__iff__zero__less ( axiom ) converted to clauses:
% 20.36/20.53 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)), _u4783)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4783)) )).
% 20.36/20.53 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)), _u4784)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u4784)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_le__imp__0__less ( axiom ) converted to clauses:
% 20.36/20.53 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)), _u4785)) | 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)), _u4785))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zadd__0__right ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zadd__0__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4786), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u4786) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zadd__0 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zadd__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4787) = _u4787) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zmult__zless__mono2 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zmult__zless__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4788), _u4789)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4790)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4790), _u4788)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4790), _u4789))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_less__bin__lemma ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_less__bin__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4793), _u4795)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4793), _u4795)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.53 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), _u4794), _u4796)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4794), _u4796)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zadd__zless__mono ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zadd__zless__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4797), _u4798)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4799), _u4800)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4797), _u4799)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4798), _u4800))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zless__le ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zless__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4803), _u4805)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4803), _u4805)) )).
% 20.36/20.53 cnf(fact_zless__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4803), _u4805)) | ( _u4803 != _u4805) )).
% 20.36/20.53 cnf(fact_zless__le-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4804), _u4806)) | ( _u4804 = _u4806) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4804), _u4806)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zdiff__zmult__distrib ( axiom ) converted to clauses:
% 20.36/20.53 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), _u4807), _u4808)), _u4809) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4807), _u4809)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4808), _u4809))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zdiff__zmult__distrib2 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zdiff__zmult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4810), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4811), _u4812)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4810), _u4811)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4810), _u4812))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zless__linear ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zless__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4813), _u4814)) | ( _u4813 = _u4814) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4814), _u4813)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zmult__commute ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zmult__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4815), _u4816) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4816), _u4815)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zmult__assoc ( axiom ) converted to clauses:
% 20.36/20.53 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), _u4817), _u4818)), _u4819) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4817), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4818), _u4819))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zadd__zmult__distrib2 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zadd__zmult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4820), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4821), _u4822)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4820), _u4821)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4820), _u4822))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zadd__zmult__distrib ( axiom ) converted to clauses:
% 20.36/20.53 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), _u4823), _u4824)), _u4825) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4823), _u4825)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4824), _u4825))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zadd__strict__right__mono ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zadd__strict__right__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4826), _u4827)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4826), _u4828)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4827), _u4828))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zadd__commute ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zadd__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4829), _u4830) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4830), _u4829)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zadd__left__commute ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zadd__left__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4831), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4832), _u4833)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4832), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4831), _u4833))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zadd__assoc ( axiom ) converted to clauses:
% 20.36/20.53 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), _u4834), _u4835)), _u4836) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4834), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4835), _u4836))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zle__refl ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zle__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4837), _u4837)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zle__linear ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zle__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4838), _u4839)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4839), _u4838)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zle__trans ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zle__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4840), _u4841)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4841), _u4842)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4840), _u4842)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zle__antisym ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zle__antisym-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4843), _u4844)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4844), _u4843)) | ( _u4843 = _u4844) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zadd__left__mono ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zadd__left__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4845), _u4846)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4847), _u4845)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4847), _u4846))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zle__add1__eq__le ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zle__add1__eq__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4850), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4852), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4850), _u4852)) )).
% 20.36/20.53 cnf(fact_zle__add1__eq__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4851), _u4853)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4851), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4853), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_add1__zle__eq ( axiom ) converted to clauses:
% 20.36/20.53 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), _u4856), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u4858)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4856), _u4858)) )).
% 20.36/20.53 cnf(fact_add1__zle__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4857), _u4859)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4857), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u4859)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zless__imp__add1__zle ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zless__imp__add1__zle-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4860), _u4861)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4860), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u4861)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zle__diff1__eq ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zle__diff1__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4864), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4866), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4864), _u4866)) )).
% 20.36/20.53 cnf(fact_zle__diff1__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4865), _u4867)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4865), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4867), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zmult__1 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zmult__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u4868) = _u4868) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zmult__1__right ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zmult__1__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4869), c_Groups_Oone__class_Oone(tc_Int_Oint)) = _u4869) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zless__add1__eq ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zless__add1__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4872), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4874), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4872), _u4874)) | ( _u4872 = _u4874) )).
% 20.36/20.53 cnf(fact_zless__add1__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4873), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4875), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4873), _u4875)) )).
% 20.36/20.53 cnf(fact_zless__add1__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4873), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4875), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ( _u4873 != _u4875) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_succ__def ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_succ__def-1, axiom, ( ( c_Int_Osucc(_u4876) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4876), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_com_Osimps_I2_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_com_Osimps_I2_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u4883, _u4885, _u4887) != c_Com_Ocom_OLocal(_u4889, _u4891, _u4893)) | ( _u4883 = _u4889) )).
% 20.36/20.53 cnf(fact_com_Osimps_I2_J-2, axiom, ( ( c_Com_Ocom_OLocal(_u4883, _u4885, _u4887) != c_Com_Ocom_OLocal(_u4889, _u4891, _u4893)) | ( _u4885 = _u4891) )).
% 20.36/20.53 cnf(fact_com_Osimps_I2_J-3, axiom, ( ( c_Com_Ocom_OLocal(_u4883, _u4885, _u4887) != c_Com_Ocom_OLocal(_u4889, _u4891, _u4893)) | ( _u4887 = _u4893) )).
% 20.36/20.53 cnf(fact_com_Osimps_I2_J-4, axiom, ( ( _u4884 != _u4890) | ( _u4886 != _u4892) | ( _u4888 != _u4894) | ( c_Com_Ocom_OLocal(_u4884, _u4886, _u4888) = c_Com_Ocom_OLocal(_u4890, _u4892, _u4894)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_com_Osimps_I37_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_com_Osimps_I37_J-1, axiom, ( ( c_Com_Ocom_OCond(_u4895, _u4896, _u4897) != c_Com_Ocom_OLocal(_u4898, _u4899, _u4900)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_com_Osimps_I36_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_com_Osimps_I36_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u4901, _u4902, _u4903) != c_Com_Ocom_OCond(_u4904, _u4905, _u4906)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_com_Osimps_I34_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_com_Osimps_I34_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u4907, _u4908, _u4909) != c_Com_Ocom_OSemi(_u4910, _u4911)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_com_Osimps_I35_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_com_Osimps_I35_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u4912, _u4913) != c_Com_Ocom_OLocal(_u4914, _u4915, _u4916)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_com_Osimps_I11_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_com_Osimps_I11_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u4917, _u4918, _u4919) != c_Com_Ocom_OSKIP) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_com_Osimps_I10_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_com_Osimps_I10_J-1, axiom, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OLocal(_u4920, _u4921, _u4922)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_self__quotient__aux1 ( axiom ) converted to clauses:
% 20.36/20.53 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)), _u4923)) | ( _u4923 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4924), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4923), _u4925))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4924), _u4923)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u4925)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_self__quotient__aux2 ( axiom ) converted to clauses:
% 20.36/20.53 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)), _u4926)) | ( _u4926 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4927), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4926), _u4928))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4927)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4928), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zdiv__mono2__neg__lemma ( axiom ) converted to clauses:
% 20.36/20.53 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), _u4929), _u4930)), _u4931) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4932), _u4933)), _u4934)) | ~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), _u4932), _u4933)), _u4934)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4931), _u4929)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4934)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4932)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4932), _u4929)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4933), _u4930)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_unique__quotient__lemma__neg ( axiom ) converted to clauses:
% 20.36/20.53 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), _u4935), _u4936)), _u4937)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4935), _u4938)), _u4939))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4939), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4935), _u4939)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4935), _u4937)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4938), _u4936)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zdiv__mono2__lemma ( axiom ) converted to clauses:
% 20.36/20.53 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), _u4940), _u4941)), _u4942) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4943), _u4944)), _u4945)) | ~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), _u4943), _u4944)), _u4945))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4945), _u4943)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4942)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4943)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4943), _u4940)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4941), _u4944)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_unique__quotient__lemma ( axiom ) converted to clauses:
% 20.36/20.53 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), _u4946), _u4947)), _u4948)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4946), _u4949)), _u4950))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4948)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4948), _u4946)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4950), _u4946)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4947), _u4949)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_q__neg__lemma ( axiom ) converted to clauses:
% 20.36/20.53 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), _u4951), _u4952)), _u4953)), 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)), _u4953)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4951)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4952), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_number__of__is__id ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_number__of__is__id-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4954) = _u4954) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_int__0__neq__1 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_int__0__neq__1-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_q__pos__lemma ( axiom ) converted to clauses:
% 20.36/20.53 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), _u4955), _u4956)), _u4957))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4957), _u4955)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4955)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4956)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J ( axiom ) converted to clauses:
% 20.36/20.53 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)), _u4958)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4959)) | 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), _u4958), _u4959))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J ( axiom ) converted to clauses:
% 20.36/20.53 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))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J ( axiom ) converted to clauses:
% 20.36/20.53 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)), _u4960)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4961)) | 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), _u4960), _u4961))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_Suc__nat__number__of__add ( axiom ) converted to clauses:
% 20.36/20.53 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), _u4964))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4964)), _u4966)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u4966)) )).
% 20.36/20.53 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), _u4965))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4965)), _u4967)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u4965))), _u4967)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J ( axiom ) converted to clauses:
% 20.36/20.53 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))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_Suc__nat__number__of ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_Suc__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4969))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4969)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 20.36/20.53 cnf(fact_Suc__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4970))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4970)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u4970))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_of__nat__number__of__lemma ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_of__nat__number__of__lemma-1, axiom, ( ~class_Int_Onumber__ring(_u4971) | ~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))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4971), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4972)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4971), _u4972)) )).
% 20.36/20.53 cnf(fact_of__nat__number__of__lemma-2, axiom, ( ~class_Int_Onumber__ring(_u4971) | 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))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4971), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4972)) = c_Groups_Ozero__class_Ozero(_u4971)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_of__nat__eq__iff ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_of__nat__eq__iff-1, axiom, ( ~class_Nat_Osemiring__char__0(_u4973) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4973), _u4974) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4973), _u4975)) | ( _u4974 = _u4975) )).
% 20.36/20.53 cnf(fact_of__nat__eq__iff-2, axiom, ( ~class_Nat_Osemiring__char__0(_u4973) | ( _u4974 != _u4975) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4973), _u4974) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4973), _u4975)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_not__neg__int ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_not__neg__int-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4976))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_transfer__int__nat__numerals_I1_J ( axiom ) converted to clauses:
% 20.36/20.53 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))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J ( axiom ) converted to clauses:
% 20.36/20.53 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), _u4977))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_transfer__int__nat__quantifiers_I2_J ( axiom ) converted to clauses:
% 20.36/20.53 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)), _u4978)) | ~hBOOL(hAPP(_u4983, _u4978)) | hBOOL(hAPP(_u4983, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem109(_u4983)))) )).
% 20.36/20.53 cnf(fact_transfer__int__nat__quantifiers_I2_J-2, axiom, ( ~hBOOL(hAPP(_u4984, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4980))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem110(_u4984))) )).
% 20.36/20.53 cnf(fact_transfer__int__nat__quantifiers_I2_J-3, axiom, ( ~hBOOL(hAPP(_u4984, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4980))) | hBOOL(hAPP(_u4984, skolem110(_u4984))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_transfer__int__nat__quantifiers_I1_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_transfer__int__nat__quantifiers_I1_J-1, axiom, ( hBOOL(hAPP(_u4990, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4986))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem111(_u4990))) )).
% 20.36/20.53 cnf(fact_transfer__int__nat__quantifiers_I1_J-2, axiom, ( hBOOL(hAPP(_u4990, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4986))) | ~hBOOL(hAPP(_u4990, skolem111(_u4990))) )).
% 20.36/20.53 cnf(fact_transfer__int__nat__quantifiers_I1_J-3, axiom, ( ~hBOOL(hAPP(_u4991, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem112(_u4991)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4988)) | hBOOL(hAPP(_u4991, _u4988)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_transfer__int__nat__relations_I2_J ( axiom ) converted to clauses:
% 20.36/20.53 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), _u4994)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4996))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4994), _u4996)) )).
% 20.36/20.53 cnf(fact_transfer__int__nat__relations_I2_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4995), _u4997)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4995)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4997))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_transfer__int__nat__relations_I3_J ( axiom ) converted to clauses:
% 20.36/20.53 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), _u5000)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5002))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5000), _u5002)) )).
% 20.36/20.53 cnf(fact_transfer__int__nat__relations_I3_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5001), _u5003)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5001)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5003))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J ( axiom ) converted to clauses:
% 20.36/20.53 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), _u5004)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5005)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5004), _u5005))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_not__neg__0 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_not__neg__0-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J ( axiom ) converted to clauses:
% 20.36/20.53 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), _u5006)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5007)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5006), _u5007))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_transfer__int__nat__numerals_I2_J ( axiom ) converted to clauses:
% 20.36/20.53 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))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_not__neg__1 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_not__neg__1-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_int__nat__number__of ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_int__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5009))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5009)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.53 cnf(fact_int__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5010))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5010)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5010)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_int__0 ( axiom ) converted to clauses:
% 20.36/20.53 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)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_int__eq__0__conv ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_int__eq__0__conv-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5012) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5012 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53 cnf(fact_int__eq__0__conv-2, axiom, ( ( _u5013 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5013) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zero__zle__int ( axiom ) converted to clauses:
% 20.36/20.53 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), _u5014))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_int__less__0__conv ( axiom ) converted to clauses:
% 20.36/20.53 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), _u5015)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zless__int ( axiom ) converted to clauses:
% 20.36/20.53 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), _u5018)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5020))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5018), _u5020)) )).
% 20.36/20.53 cnf(fact_zless__int-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5019), _u5021)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5019)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5021))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zle__int ( axiom ) converted to clauses:
% 20.36/20.53 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), _u5024)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5026))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5024), _u5026)) )).
% 20.36/20.53 cnf(fact_zle__int-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5025), _u5027)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5025)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5027))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zadd__int__left ( axiom ) converted to clauses:
% 20.36/20.53 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), _u5028)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5029)), _u5030)) = 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), _u5028), _u5029))), _u5030)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zadd__int ( axiom ) converted to clauses:
% 20.36/20.53 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), _u5031)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5032)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5031), _u5032))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zle__iff__zadd ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zle__iff__zadd-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5037), _u5039)) | ( _u5039 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5037), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem113(_u5039, _u5037)))) )).
% 20.36/20.53 cnf(fact_zle__iff__zadd-2, axiom, ( ( _u5040 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5038), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5034))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5038), _u5040)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_of__nat__0__le__iff ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_of__nat__0__le__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u5041) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5041), c_Groups_Ozero__class_Ozero(_u5041)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5041), _u5042))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zero__le__imp__of__nat ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zero__le__imp__of__nat-1, axiom, ( ~class_Rings_Olinordered__semidom(_u5043) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5043), c_Groups_Ozero__class_Ozero(_u5043)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5043), _u5044))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_of__nat__less__0__iff ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_of__nat__less__0__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u5045) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5045), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5045), _u5046)), c_Groups_Ozero__class_Ozero(_u5045))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_of__nat__number__of__eq ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_of__nat__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u5047) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5048))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5047), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5048)) = c_Groups_Ozero__class_Ozero(_u5047)) )).
% 20.36/20.53 cnf(fact_of__nat__number__of__eq-2, axiom, ( ~class_Int_Onumber__ring(_u5047) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5048))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5047), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5048)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5047), _u5048)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zmult__int ( axiom ) converted to clauses:
% 20.36/20.53 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), _u5049)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5050)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5049), _u5050))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_int__mult ( axiom ) converted to clauses:
% 20.36/20.53 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), _u5051), _u5052)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5051)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5052))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_of__nat__0 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_of__nat__0-1, axiom, ( ~class_Rings_Osemiring__1(_u5053) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5053), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(_u5053)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_of__nat__less__imp__less ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_of__nat__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u5054) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5054), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5054), _u5055)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5054), _u5056))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5055), _u5056)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_less__imp__of__nat__less ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_less__imp__of__nat__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u5057) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5058), _u5059)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5057), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5057), _u5058)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5057), _u5059))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_of__nat__less__iff ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_of__nat__less__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u5060) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5060), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5060), _u5061)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5060), _u5062))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5061), _u5062)) )).
% 20.36/20.53 cnf(fact_of__nat__less__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u5060) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5061), _u5062)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5060), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5060), _u5061)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5060), _u5062))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_int__1 ( axiom ) converted to clauses:
% 20.36/20.53 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)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_of__nat__le__iff ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_of__nat__le__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u5063) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5063), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5063), _u5064)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5063), _u5065))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5064), _u5065)) )).
% 20.36/20.53 cnf(fact_of__nat__le__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u5063) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5064), _u5065)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5063), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5063), _u5064)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5063), _u5065))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_of__nat__add ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_of__nat__add-1, axiom, ( ~class_Rings_Osemiring__1(_u5066) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5066), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5067), _u5068)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5066), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5066), _u5067)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5066), _u5068))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_of__nat__mult ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_of__nat__mult-1, axiom, ( ~class_Rings_Osemiring__1(_u5069) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5069), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5070), _u5071)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5069), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5069), _u5070)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5069), _u5071))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_of__nat__1 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_of__nat__1-1, axiom, ( ~class_Rings_Osemiring__1(_u5072) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5072), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u5072)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_Ints__of__nat ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_Ints__of__nat-1, axiom, ( ~class_Rings_Oring__1(_u5073) | hBOOL(hAPP(hAPP(c_member(_u5073), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5073), _u5074)), c_Int_Oring__1__class_OInts(_u5073))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_not__neg__eq__ge__0 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_not__neg__eq__ge__0-1, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u5076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5076)) )).
% 20.36/20.53 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)), _u5077)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u5077)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_neg__def ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_neg__def-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u5079)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5079), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.53 cnf(fact_neg__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5080), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, _u5080)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_int__le__0__conv ( axiom ) converted to clauses:
% 20.36/20.53 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), _u5082)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u5082 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53 cnf(fact_int__le__0__conv-2, axiom, ( ( _u5083 != 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), _u5083)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_int__Suc0__eq__1 ( axiom ) converted to clauses:
% 20.36/20.53 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)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zless__iff__Suc__zadd ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zless__iff__Suc__zadd-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5088), _u5090)) | ( _u5090 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5088), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem114(_u5090, _u5088))))) )).
% 20.36/20.53 cnf(fact_zless__iff__Suc__zadd-2, axiom, ( ( _u5091 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5089), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u5085)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5089), _u5091)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_int__Suc ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_int__Suc-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u5092)) = 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), _u5092))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zdiff__int ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zdiff__int-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5093), _u5094)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5094)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5093)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5094), _u5093))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_of__nat__Suc ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_of__nat__Suc-1, axiom, ( ~class_Rings_Osemiring__1(_u5095) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5095), hAPP(c_Nat_OSuc, _u5096)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5095), c_Groups_Oone__class_Oone(_u5095)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5095), _u5096))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_of__nat__diff ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_of__nat__diff-1, axiom, ( ~class_Rings_Oring__1(_u5097) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5098), _u5099)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5097), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5099), _u5098)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5097), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5097), _u5099)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5097), _u5098))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_neg__imp__number__of__eq__0 ( axiom ) converted to clauses:
% 20.36/20.53 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), _u5100))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5100) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zero__less__int__conv ( axiom ) converted to clauses:
% 20.36/20.53 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), _u5102))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5102)) )).
% 20.36/20.53 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)), _u5103)) | 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), _u5103))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zmult__zless__mono2__lemma ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zmult__zless__mono2__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5104), _u5105)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5106)) | 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), _u5106)), _u5104)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5106)), _u5105))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_of__nat__0__less__iff ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_of__nat__0__less__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u5107) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5107), c_Groups_Ozero__class_Ozero(_u5107)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5107), _u5108))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5108)) )).
% 20.36/20.53 cnf(fact_of__nat__0__less__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u5107) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5108)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5107), c_Groups_Ozero__class_Ozero(_u5107)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5107), _u5108))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_eq__nat__number__of ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_eq__nat__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5111) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5113)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5111))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5113)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.53 cnf(fact_eq__nat__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5111) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5113)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5111))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5113))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5111) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.53 cnf(fact_eq__nat__number__of-3, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5111) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5113)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5111))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5113))) | ( _u5111 = _u5113) )).
% 20.36/20.53 cnf(fact_eq__nat__number__of-4, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5112) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5114)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5112))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5114))) | ( _u5112 != _u5114) )).
% 20.36/20.53 cnf(fact_eq__nat__number__of-5, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5112) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5114)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5112))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5112) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5114))) )).
% 20.36/20.53 cnf(fact_eq__nat__number__of-6, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5112) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5114)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5112))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5112) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5112 != _u5114) )).
% 20.36/20.53 cnf(fact_eq__nat__number__of-7, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5112) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5114)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5114)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5112))) )).
% 20.36/20.53 cnf(fact_eq__nat__number__of-8, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5112) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5114)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5114)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5114))) | ( _u5112 != _u5114) )).
% 20.36/20.53 cnf(fact_eq__nat__number__of-9, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5112) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5114)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5114)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5112) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5114))) )).
% 20.36/20.53 cnf(fact_eq__nat__number__of-10, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5112) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5114)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5114)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5112) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5112 != _u5114) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_nat__number__of__add__left ( axiom ) converted to clauses:
% 20.36/20.53 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), _u5118))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5118)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5120)), _u5122)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5120)), _u5122)) )).
% 20.36/20.53 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), _u5119))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5121))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5119)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5121)), _u5123)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5119)), _u5123)) )).
% 20.36/20.53 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), _u5119))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5121))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5119)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5121)), _u5123)) = 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), _u5119), _u5121))), _u5123)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zdiff__int__split ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zdiff__int__split-1, axiom, ( ~hBOOL(hAPP(_u5127, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5129), _u5131)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5131), _u5129)) | hBOOL(hAPP(_u5127, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5129)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5131)))) )).
% 20.36/20.53 cnf(fact_zdiff__int__split-2, axiom, ( ~hBOOL(hAPP(_u5127, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5129), _u5131)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5129), _u5131)) | hBOOL(hAPP(_u5127, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.53 cnf(fact_zdiff__int__split-3, axiom, ( hBOOL(hAPP(_u5128, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5130), _u5132)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5132), _u5130)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5130), _u5132)) )).
% 20.36/20.53 cnf(fact_zdiff__int__split-4, axiom, ( hBOOL(hAPP(_u5128, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5130), _u5132)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5132), _u5130)) | ~hBOOL(hAPP(_u5128, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.53 cnf(fact_zdiff__int__split-5, axiom, ( hBOOL(hAPP(_u5128, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5130), _u5132)))) | ~hBOOL(hAPP(_u5128, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5130)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5132)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5130), _u5132)) )).
% 20.36/20.53 cnf(fact_zdiff__int__split-6, axiom, ( hBOOL(hAPP(_u5128, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5130), _u5132)))) | ~hBOOL(hAPP(_u5128, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5130)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5132)))) | ~hBOOL(hAPP(_u5128, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_setsum__bounded ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_setsum__bounded-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u5134) | ~class_Rings_Osemiring__1(_u5134) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5134), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5135, _u5134), _u5137), _u5136)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5134), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5134), hAPP(c_Finite__Set_Ocard(_u5135), _u5136))), _u5138))) | hBOOL(hAPP(hAPP(c_member(_u5135), skolem115(_u5138, _u5137, _u5136, _u5135, _u5134)), _u5136)) )).
% 20.36/20.53 cnf(fact_setsum__bounded-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u5134) | ~class_Rings_Osemiring__1(_u5134) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5134), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5135, _u5134), _u5137), _u5136)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5134), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5134), hAPP(c_Finite__Set_Ocard(_u5135), _u5136))), _u5138))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5134), hAPP(_u5137, skolem115(_u5138, _u5137, _u5136, _u5135, _u5134))), _u5138)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_tsub__def ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_tsub__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5141), _u5143)) | ( c_Nat__Transfer_Otsub(_u5143, _u5141) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5143), _u5141)) )).
% 20.36/20.53 cnf(fact_tsub__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5142), _u5144)) | ( c_Nat__Transfer_Otsub(_u5144, _u5142) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_nat__1__add__number__of ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_nat__1__add__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5146), 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), _u5146)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 20.36/20.53 cnf(fact_nat__1__add__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5147), 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), _u5147)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u5147))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_nat__number__of__add__1 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_nat__number__of__add__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5149), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5149)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 20.36/20.53 cnf(fact_nat__number__of__add__1-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5150), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5150)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u5150))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_neg__number__of__pred__iff__0 ( axiom ) converted to clauses:
% 20.36/20.53 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(_u5152)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5152) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53 cnf(fact_neg__number__of__pred__iff__0-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5153) != 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(_u5153)))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__nat__number__of ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__nat__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5156), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5156)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5158)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53 cnf(fact_mult__nat__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5157), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5157)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5159)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5157), _u5159))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_int__int__eq ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_int__int__eq-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5162) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5164)) | ( _u5162 = _u5164) )).
% 20.36/20.53 cnf(fact_int__int__eq-2, axiom, ( ( _u5163 != _u5165) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5163) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5165)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_transfer__int__nat__relations_I1_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_transfer__int__nat__relations_I1_J-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5168) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5170)) | ( _u5168 = _u5170) )).
% 20.36/20.53 cnf(fact_transfer__int__nat__relations_I1_J-2, axiom, ( ( _u5169 != _u5171) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5169) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5171)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_Pls__def ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_Pls__def-1, axiom, ( ( c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_rel__simps_I19_J ( axiom ) converted to clauses:
% 20.36/20.53 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)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_rel__simps_I2_J ( axiom ) converted to clauses:
% 20.36/20.53 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)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_add__Pls__right ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_add__Pls__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5172), c_Int_OPls) = _u5172) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_add__Pls ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_add__Pls-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), _u5173) = _u5173) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mult__Pls ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mult__Pls-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OPls), _u5174) = c_Int_OPls) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_diff__bin__simps_I1_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_diff__bin__simps_I1_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5175), c_Int_OPls) = _u5175) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_succ__pred ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_succ__pred-1, axiom, ( ( c_Int_Osucc(c_Int_Opred(_u5176)) = _u5176) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_semiring__norm_I112_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_semiring__norm_I112_J-1, axiom, ( ~class_Int_Onumber__ring(_u5177) | ( c_Groups_Ozero__class_Ozero(_u5177) = hAPP(c_Int_Onumber__class_Onumber__of(_u5177), c_Int_OPls)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_number__of__Pls ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_number__of__Pls-1, axiom, ( ~class_Int_Onumber__ring(_u5178) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5178), c_Int_OPls) = c_Groups_Ozero__class_Ozero(_u5178)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_add__numeral__0 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_add__numeral__0-1, axiom, ( ~class_Int_Onumber__ring(_u5179) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5179), hAPP(c_Int_Onumber__class_Onumber__of(_u5179), c_Int_OPls)), _u5180) = _u5180) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_add__numeral__0__right ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_add__numeral__0__right-1, axiom, ( ~class_Int_Onumber__ring(_u5181) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5181), _u5182), hAPP(c_Int_Onumber__class_Onumber__of(_u5181), c_Int_OPls)) = _u5182) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_number__of2 ( axiom ) converted to clauses:
% 20.36/20.53 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))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_bin__less__0__simps_I1_J ( axiom ) converted to clauses:
% 20.36/20.53 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))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_nat__number__of__Pls ( axiom ) converted to clauses:
% 20.36/20.53 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)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_semiring__norm_I113_J ( axiom ) converted to clauses:
% 20.36/20.53 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)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zero__is__num__zero ( axiom ) converted to clauses:
% 20.36/20.53 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)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_Suc__diff__number__of ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_Suc__diff__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u5183)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5184)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5183)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5184), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u5183)))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_not__neg__number__of__Pls ( axiom ) converted to clauses:
% 20.36/20.53 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))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_le__iff__pred__less ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_le__iff__pred__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5187), _u5189)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u5187)), _u5189)) )).
% 20.36/20.53 cnf(fact_le__iff__pred__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u5188)), _u5190)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5188), _u5190)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_pred__def ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_pred__def-1, axiom, ( ( c_Int_Opred(_u5191) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5191), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J ( axiom ) converted to clauses:
% 20.36/20.53 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), _u5192), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5193)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5192), _u5193))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_nat__number__of__diff__1 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_nat__number__of__diff__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5195), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5195)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53 cnf(fact_nat__number__of__diff__1-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5196), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5196)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u5196))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_divide__Numeral0 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_divide__Numeral0-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5197) | ~class_Int_Onumber__ring(_u5197) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5197), _u5198), hAPP(c_Int_Onumber__class_Onumber__of(_u5197), c_Int_OPls)) = c_Groups_Ozero__class_Ozero(_u5197)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_eq__number__of__0 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_eq__number__of__0-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5200) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5200), c_Int_OPls)) )).
% 20.36/20.53 cnf(fact_eq__number__of__0-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5201), c_Int_OPls)) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5201) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_eq__0__number__of ( axiom ) converted to clauses:
% 20.36/20.53 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), _u5203)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5203), c_Int_OPls)) )).
% 20.36/20.53 cnf(fact_eq__0__number__of-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5204), c_Int_OPls)) | ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5204)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_less__nat__number__of ( axiom ) converted to clauses:
% 20.36/20.53 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), _u5207)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5209))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5207), _u5209)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u5209)) )).
% 20.36/20.53 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), _u5207)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5207), _u5209)) )).
% 20.36/20.53 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), _u5208)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5210))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5208), _u5210)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u5210)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_le__nat__number__of ( axiom ) converted to clauses:
% 20.36/20.53 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), _u5213)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5215))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5213), _u5215)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5213), c_Int_OPls)) )).
% 20.36/20.53 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), _u5214)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5216))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5214), _u5216)) )).
% 20.36/20.53 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), _u5214)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5216))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5214), c_Int_OPls)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_le__special_I3_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_le__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u5217) | ~class_Rings_Olinordered__idom(_u5217) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5217), hAPP(c_Int_Onumber__class_Onumber__of(_u5217), _u5218)), c_Groups_Ozero__class_Ozero(_u5217))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5218), c_Int_OPls)) )).
% 20.36/20.53 cnf(fact_le__special_I3_J-2, axiom, ( ~class_Int_Onumber__ring(_u5217) | ~class_Rings_Olinordered__idom(_u5217) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5218), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5217), hAPP(c_Int_Onumber__class_Onumber__of(_u5217), _u5218)), c_Groups_Ozero__class_Ozero(_u5217))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_le__special_I1_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_le__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u5219) | ~class_Rings_Olinordered__idom(_u5219) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5219), c_Groups_Ozero__class_Ozero(_u5219)), hAPP(c_Int_Onumber__class_Onumber__of(_u5219), _u5220))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u5220)) )).
% 20.36/20.53 cnf(fact_le__special_I1_J-2, axiom, ( ~class_Int_Onumber__ring(_u5219) | ~class_Rings_Olinordered__idom(_u5219) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u5220)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5219), c_Groups_Ozero__class_Ozero(_u5219)), hAPP(c_Int_Onumber__class_Onumber__of(_u5219), _u5220))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_less__special_I1_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_less__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u5221) | ~class_Rings_Olinordered__idom(_u5221) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5221), c_Groups_Ozero__class_Ozero(_u5221)), hAPP(c_Int_Onumber__class_Onumber__of(_u5221), _u5222))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u5222)) )).
% 20.36/20.53 cnf(fact_less__special_I1_J-2, axiom, ( ~class_Int_Onumber__ring(_u5221) | ~class_Rings_Olinordered__idom(_u5221) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u5222)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5221), c_Groups_Ozero__class_Ozero(_u5221)), hAPP(c_Int_Onumber__class_Onumber__of(_u5221), _u5222))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_less__special_I3_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_less__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u5223) | ~class_Rings_Olinordered__idom(_u5223) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5223), hAPP(c_Int_Onumber__class_Onumber__of(_u5223), _u5224)), c_Groups_Ozero__class_Ozero(_u5223))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5224), c_Int_OPls)) )).
% 20.36/20.53 cnf(fact_less__special_I3_J-2, axiom, ( ~class_Int_Onumber__ring(_u5223) | ~class_Rings_Olinordered__idom(_u5223) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5224), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5223), hAPP(c_Int_Onumber__class_Onumber__of(_u5223), _u5224)), c_Groups_Ozero__class_Ozero(_u5223))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_less__0__number__of ( axiom ) converted to clauses:
% 20.36/20.53 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), _u5226))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u5226)) )).
% 20.36/20.53 cnf(fact_less__0__number__of-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u5227)) | 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), _u5227))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_add__nat__number__of ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_add__nat__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5230), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5230)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5232)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5232)) )).
% 20.36/20.53 cnf(fact_add__nat__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5231), c_Int_OPls)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5233), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5231)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5233)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5231)) )).
% 20.36/20.53 cnf(fact_add__nat__number__of-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5231), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5233), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5231)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5233)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5231), _u5233))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J ( axiom ) converted to clauses:
% 20.36/20.53 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)), _u5234)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5235)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Nat__Transfer_Otsub(_u5234, _u5235))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_tsub__eq ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_tsub__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5236), _u5237)) | ( c_Nat__Transfer_Otsub(_u5237, _u5236) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5237), _u5236)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_nat__number__of__mult__left ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_nat__number__of__mult__left-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5241), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5241)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5243)), _u5245)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.53 cnf(fact_nat__number__of__mult__left-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5242), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5242)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5244)), _u5246)) = 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), _u5242), _u5244))), _u5246)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_Nats__number__of ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_Nats__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u5247) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u5248)) | hBOOL(hAPP(hAPP(c_member(_u5247), hAPP(c_Int_Onumber__class_Onumber__of(_u5247), _u5248)), c_Nat_Osemiring__1__class_ONats(_u5247))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_decr__mult__lemma ( axiom ) converted to clauses:
% 20.36/20.53 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)), _u5251)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5253)) | ~hBOOL(hAPP(_u5252, _u5250)) | hBOOL(hAPP(_u5252, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5250), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5253), _u5251)))) | hBOOL(hAPP(_u5252, skolem116(_u5253, _u5252, _u5251))) )).
% 20.36/20.53 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)), _u5251)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5253)) | ~hBOOL(hAPP(_u5252, _u5250)) | hBOOL(hAPP(_u5252, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5250), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5253), _u5251)))) | ~hBOOL(hAPP(_u5252, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem116(_u5253, _u5252, _u5251)), _u5251))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_incr__mult__lemma ( axiom ) converted to clauses:
% 20.36/20.53 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)), _u5256)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5258)) | ~hBOOL(hAPP(_u5257, _u5255)) | hBOOL(hAPP(_u5257, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5255), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5258), _u5256)))) | hBOOL(hAPP(_u5257, skolem117(_u5258, _u5257, _u5256))) )).
% 20.36/20.53 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)), _u5256)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5258)) | ~hBOOL(hAPP(_u5257, _u5255)) | hBOOL(hAPP(_u5257, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5255), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5258), _u5256)))) | ~hBOOL(hAPP(_u5257, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem117(_u5258, _u5257, _u5256)), _u5256))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zero__less__imp__eq__int ( axiom ) converted to clauses:
% 20.36/20.53 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)), _u5260)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem118(_u5260))) )).
% 20.36/20.53 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)), _u5260)) | ( _u5260 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem118(_u5260))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_incr__lemma ( axiom ) converted to clauses:
% 20.36/20.53 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)), _u5261)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5262), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5263), 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), _u5263), _u5262))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5261)))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_decr__lemma ( axiom ) converted to clauses:
% 20.36/20.53 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)), _u5264)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5265), 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), _u5265), _u5266))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5264))), _u5266)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_abs__idempotent ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_abs__idempotent-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5267) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5267), hAPP(c_Groups_Oabs__class_Oabs(_u5267), _u5268)) = hAPP(c_Groups_Oabs__class_Oabs(_u5267), _u5268)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_abs__le__D1 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_abs__le__D1-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5269) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5269), hAPP(c_Groups_Oabs__class_Oabs(_u5269), _u5270)), _u5271)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5269), _u5270), _u5271)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_abs__ge__self ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_abs__ge__self-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5272) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5272), _u5273), hAPP(c_Groups_Oabs__class_Oabs(_u5272), _u5273))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_abs__zero ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_abs__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5274) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5274), c_Groups_Ozero__class_Ozero(_u5274)) = c_Groups_Ozero__class_Ozero(_u5274)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_abs__eq__0 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_abs__eq__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5275) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5275), _u5276) != c_Groups_Ozero__class_Ozero(_u5275)) | ( _u5276 = c_Groups_Ozero__class_Ozero(_u5275)) )).
% 20.36/20.53 cnf(fact_abs__eq__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5275) | ( _u5276 != c_Groups_Ozero__class_Ozero(_u5275)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5275), _u5276) = c_Groups_Ozero__class_Ozero(_u5275)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_abs__add__abs ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_abs__add__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5277) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5277), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5277), hAPP(c_Groups_Oabs__class_Oabs(_u5277), _u5278)), hAPP(c_Groups_Oabs__class_Oabs(_u5277), _u5279))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5277), hAPP(c_Groups_Oabs__class_Oabs(_u5277), _u5278)), hAPP(c_Groups_Oabs__class_Oabs(_u5277), _u5279))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_abs__mult__self ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_abs__mult__self-1, axiom, ( ~class_Rings_Olinordered__idom(_u5280) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5280), hAPP(c_Groups_Oabs__class_Oabs(_u5280), _u5281)), hAPP(c_Groups_Oabs__class_Oabs(_u5280), _u5281)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5280), _u5281), _u5281)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_abs__mult ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_abs__mult-1, axiom, ( ~class_Rings_Olinordered__idom(_u5282) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5282), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5282), _u5283), _u5284)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5282), hAPP(c_Groups_Oabs__class_Oabs(_u5282), _u5283)), hAPP(c_Groups_Oabs__class_Oabs(_u5282), _u5284))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_abs__minus__commute ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_abs__minus__commute-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5285) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5285), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5285), _u5286), _u5287)) = hAPP(c_Groups_Oabs__class_Oabs(_u5285), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5285), _u5287), _u5286))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_abs__one ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_abs__one-1, axiom, ( ~class_Rings_Olinordered__idom(_u5288) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5288), c_Groups_Oone__class_Oone(_u5288)) = c_Groups_Oone__class_Oone(_u5288)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_abs__of__nat ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_abs__of__nat-1, axiom, ( ~class_Rings_Olinordered__idom(_u5289) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5289), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5289), _u5290)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5289), _u5290)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_abs__divide ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_abs__divide-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5291) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5291), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5291), _u5292), _u5293)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5291), hAPP(c_Groups_Oabs__class_Oabs(_u5291), _u5292)), hAPP(c_Groups_Oabs__class_Oabs(_u5291), _u5293))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_abs__int__eq ( axiom ) converted to clauses:
% 20.36/20.53 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), _u5294)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5294)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_abs__ge__zero ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_abs__ge__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5295) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5295), c_Groups_Ozero__class_Ozero(_u5295)), hAPP(c_Groups_Oabs__class_Oabs(_u5295), _u5296))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_abs__le__zero__iff ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_abs__le__zero__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5297) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5297), hAPP(c_Groups_Oabs__class_Oabs(_u5297), _u5298)), c_Groups_Ozero__class_Ozero(_u5297))) | ( _u5298 = c_Groups_Ozero__class_Ozero(_u5297)) )).
% 20.36/20.53 cnf(fact_abs__le__zero__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5297) | ( _u5298 != c_Groups_Ozero__class_Ozero(_u5297)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5297), hAPP(c_Groups_Oabs__class_Oabs(_u5297), _u5298)), c_Groups_Ozero__class_Ozero(_u5297))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_abs__of__nonneg ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_abs__of__nonneg-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5299) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5299), c_Groups_Ozero__class_Ozero(_u5299)), _u5300)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5299), _u5300) = _u5300) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_abs__not__less__zero ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_abs__not__less__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5301) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5301), hAPP(c_Groups_Oabs__class_Oabs(_u5301), _u5302)), c_Groups_Ozero__class_Ozero(_u5301))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zero__less__abs__iff ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zero__less__abs__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5303) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), c_Groups_Ozero__class_Ozero(_u5303)), hAPP(c_Groups_Oabs__class_Oabs(_u5303), _u5304))) | ( _u5304 != c_Groups_Ozero__class_Ozero(_u5303)) )).
% 20.36/20.53 cnf(fact_zero__less__abs__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5303) | ( _u5304 = c_Groups_Ozero__class_Ozero(_u5303)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), c_Groups_Ozero__class_Ozero(_u5303)), hAPP(c_Groups_Oabs__class_Oabs(_u5303), _u5304))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_abs__of__pos ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_abs__of__pos-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5305) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5305), c_Groups_Ozero__class_Ozero(_u5305)), _u5306)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5305), _u5306) = _u5306) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_abs__triangle__ineq ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_abs__triangle__ineq-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5307) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5307), hAPP(c_Groups_Oabs__class_Oabs(_u5307), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5307), _u5308), _u5309))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5307), hAPP(c_Groups_Oabs__class_Oabs(_u5307), _u5308)), hAPP(c_Groups_Oabs__class_Oabs(_u5307), _u5309)))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_abs__mult__less ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_abs__mult__less-1, axiom, ( ~class_Rings_Olinordered__idom(_u5310) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5310), hAPP(c_Groups_Oabs__class_Oabs(_u5310), _u5311)), _u5312)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5310), hAPP(c_Groups_Oabs__class_Oabs(_u5310), _u5313)), _u5314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5310), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5310), hAPP(c_Groups_Oabs__class_Oabs(_u5310), _u5311)), hAPP(c_Groups_Oabs__class_Oabs(_u5310), _u5313))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5310), _u5312), _u5314))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_abs__triangle__ineq2__sym ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_abs__triangle__ineq2__sym-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5315) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5315), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5315), hAPP(c_Groups_Oabs__class_Oabs(_u5315), _u5316)), hAPP(c_Groups_Oabs__class_Oabs(_u5315), _u5317))), hAPP(c_Groups_Oabs__class_Oabs(_u5315), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5315), _u5317), _u5316)))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_abs__triangle__ineq2 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_abs__triangle__ineq2-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5318) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5318), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5318), hAPP(c_Groups_Oabs__class_Oabs(_u5318), _u5319)), hAPP(c_Groups_Oabs__class_Oabs(_u5318), _u5320))), hAPP(c_Groups_Oabs__class_Oabs(_u5318), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5318), _u5319), _u5320)))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_abs__triangle__ineq3 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_abs__triangle__ineq3-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5321) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), hAPP(c_Groups_Oabs__class_Oabs(_u5321), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5321), hAPP(c_Groups_Oabs__class_Oabs(_u5321), _u5322)), hAPP(c_Groups_Oabs__class_Oabs(_u5321), _u5323)))), hAPP(c_Groups_Oabs__class_Oabs(_u5321), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5321), _u5322), _u5323)))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_nonzero__abs__divide ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_nonzero__abs__divide-1, axiom, ( ~class_Fields_Olinordered__field(_u5324) | ( _u5325 = c_Groups_Ozero__class_Ozero(_u5324)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5324), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5324), _u5326), _u5325)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5324), hAPP(c_Groups_Oabs__class_Oabs(_u5324), _u5326)), hAPP(c_Groups_Oabs__class_Oabs(_u5324), _u5325))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_abs__zmult__eq__1 ( axiom ) converted to clauses:
% 20.36/20.53 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), _u5327), _u5328)) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u5327) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_abs__mult__pos ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_abs__mult__pos-1, axiom, ( ~class_Rings_Olinordered__idom(_u5329) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), c_Groups_Ozero__class_Ozero(_u5329)), _u5330)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5329), hAPP(c_Groups_Oabs__class_Oabs(_u5329), _u5331)), _u5330) = hAPP(c_Groups_Oabs__class_Oabs(_u5329), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5329), _u5331), _u5330))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_abs__eq__mult ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_abs__eq__mult-1, axiom, ( ~class_Rings_Oordered__ring__abs(_u5332) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5332), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5332), _u5333), _u5334)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5332), hAPP(c_Groups_Oabs__class_Oabs(_u5332), _u5333)), hAPP(c_Groups_Oabs__class_Oabs(_u5332), _u5334))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5332), c_Groups_Ozero__class_Ozero(_u5332)), _u5333)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5332), c_Groups_Ozero__class_Ozero(_u5332)), _u5334)) )).
% 20.36/20.53 cnf(fact_abs__eq__mult-2, axiom, ( ~class_Rings_Oordered__ring__abs(_u5332) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5332), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5332), _u5333), _u5334)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5332), hAPP(c_Groups_Oabs__class_Oabs(_u5332), _u5333)), hAPP(c_Groups_Oabs__class_Oabs(_u5332), _u5334))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5332), c_Groups_Ozero__class_Ozero(_u5332)), _u5333)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5332), _u5334), c_Groups_Ozero__class_Ozero(_u5332))) )).
% 20.36/20.53 cnf(fact_abs__eq__mult-3, axiom, ( ~class_Rings_Oordered__ring__abs(_u5332) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5332), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5332), _u5333), _u5334)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5332), hAPP(c_Groups_Oabs__class_Oabs(_u5332), _u5333)), hAPP(c_Groups_Oabs__class_Oabs(_u5332), _u5334))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5332), _u5333), c_Groups_Ozero__class_Ozero(_u5332))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5332), c_Groups_Ozero__class_Ozero(_u5332)), _u5334)) )).
% 20.36/20.53 cnf(fact_abs__eq__mult-4, axiom, ( ~class_Rings_Oordered__ring__abs(_u5332) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5332), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5332), _u5333), _u5334)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5332), hAPP(c_Groups_Oabs__class_Oabs(_u5332), _u5333)), hAPP(c_Groups_Oabs__class_Oabs(_u5332), _u5334))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5332), _u5333), c_Groups_Ozero__class_Ozero(_u5332))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5332), _u5334), c_Groups_Ozero__class_Ozero(_u5332))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_abs__diff__triangle__ineq ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_abs__diff__triangle__ineq-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5335) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5335), hAPP(c_Groups_Oabs__class_Oabs(_u5335), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5335), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5335), _u5336), _u5337)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5335), _u5338), _u5339)))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5335), hAPP(c_Groups_Oabs__class_Oabs(_u5335), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5335), _u5336), _u5338))), hAPP(c_Groups_Oabs__class_Oabs(_u5335), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5335), _u5337), _u5339))))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_abs__triangle__ineq4 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_abs__triangle__ineq4-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5340) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5340), hAPP(c_Groups_Oabs__class_Oabs(_u5340), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5340), _u5341), _u5342))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5340), hAPP(c_Groups_Oabs__class_Oabs(_u5340), _u5341)), hAPP(c_Groups_Oabs__class_Oabs(_u5340), _u5342)))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_abs__div__pos ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_abs__div__pos-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5343) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5343), c_Groups_Ozero__class_Ozero(_u5343)), _u5344)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5343), hAPP(c_Groups_Oabs__class_Oabs(_u5343), _u5345)), _u5344) = hAPP(c_Groups_Oabs__class_Oabs(_u5343), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5343), _u5345), _u5344))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zabs__less__one__iff ( axiom ) converted to clauses:
% 20.36/20.53 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), _u5347)), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( _u5347 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.53 cnf(fact_zabs__less__one__iff-2, axiom, ( ( _u5348 != 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), _u5348)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_Nats__0 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_Nats__0-1, axiom, ( ~class_Rings_Osemiring__1(_u5349) | hBOOL(hAPP(hAPP(c_member(_u5349), c_Groups_Ozero__class_Ozero(_u5349)), c_Nat_Osemiring__1__class_ONats(_u5349))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_Nats__add ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_Nats__add-1, axiom, ( ~class_Rings_Osemiring__1(_u5350) | ~hBOOL(hAPP(hAPP(c_member(_u5350), _u5351), c_Nat_Osemiring__1__class_ONats(_u5350))) | ~hBOOL(hAPP(hAPP(c_member(_u5350), _u5352), c_Nat_Osemiring__1__class_ONats(_u5350))) | hBOOL(hAPP(hAPP(c_member(_u5350), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5350), _u5351), _u5352)), c_Nat_Osemiring__1__class_ONats(_u5350))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_Nats__mult ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_Nats__mult-1, axiom, ( ~class_Rings_Osemiring__1(_u5353) | ~hBOOL(hAPP(hAPP(c_member(_u5353), _u5354), c_Nat_Osemiring__1__class_ONats(_u5353))) | ~hBOOL(hAPP(hAPP(c_member(_u5353), _u5355), c_Nat_Osemiring__1__class_ONats(_u5353))) | hBOOL(hAPP(hAPP(c_member(_u5353), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5353), _u5354), _u5355)), c_Nat_Osemiring__1__class_ONats(_u5353))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_Nats__1 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_Nats__1-1, axiom, ( ~class_Rings_Osemiring__1(_u5356) | hBOOL(hAPP(hAPP(c_member(_u5356), c_Groups_Oone__class_Oone(_u5356)), c_Nat_Osemiring__1__class_ONats(_u5356))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_of__nat__in__Nats ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_of__nat__in__Nats-1, axiom, ( ~class_Rings_Osemiring__1(_u5357) | hBOOL(hAPP(hAPP(c_member(_u5357), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5357), _u5358)), c_Nat_Osemiring__1__class_ONats(_u5357))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_int__val__lemma ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_int__val__lemma-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem119(_u5363, _u5362, _u5361)), _u5361)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5362, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u5363)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5363), hAPP(_u5362, _u5361))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem120(_u5363, _u5362, _u5361)), _u5361)) )).
% 20.36/20.53 cnf(fact_int__val__lemma-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem119(_u5363, _u5362, _u5361)), _u5361)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5362, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u5363)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5363), hAPP(_u5362, _u5361))) | ( hAPP(_u5362, skolem120(_u5363, _u5362, _u5361)) = _u5363) )).
% 20.36/20.53 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(_u5362, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem119(_u5363, _u5362, _u5361)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u5362, skolem119(_u5363, _u5362, _u5361))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5362, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u5363)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5363), hAPP(_u5362, _u5361))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem120(_u5363, _u5362, _u5361)), _u5361)) )).
% 20.36/20.53 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(_u5362, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem119(_u5363, _u5362, _u5361)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u5362, skolem119(_u5363, _u5362, _u5361))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5362, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u5363)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5363), hAPP(_u5362, _u5361))) | ( hAPP(_u5362, skolem120(_u5363, _u5362, _u5361)) = _u5363) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_nat0__intermed__int__val ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_nat0__intermed__int__val-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem121(_u5368, _u5367, _u5366)), _u5366)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5367, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u5368)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5368), hAPP(_u5367, _u5366))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem122(_u5368, _u5367, _u5366)), _u5366)) )).
% 20.36/20.53 cnf(fact_nat0__intermed__int__val-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem121(_u5368, _u5367, _u5366)), _u5366)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5367, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u5368)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5368), hAPP(_u5367, _u5366))) | ( hAPP(_u5367, skolem122(_u5368, _u5367, _u5366)) = _u5368) )).
% 20.36/20.53 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(_u5367, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem121(_u5368, _u5367, _u5366)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u5367, skolem121(_u5368, _u5367, _u5366))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5367, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u5368)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5368), hAPP(_u5367, _u5366))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem122(_u5368, _u5367, _u5366)), _u5366)) )).
% 20.36/20.53 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(_u5367, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem121(_u5368, _u5367, _u5366)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u5367, skolem121(_u5368, _u5367, _u5366))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5367, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u5368)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5368), hAPP(_u5367, _u5366))) | ( hAPP(_u5367, skolem122(_u5368, _u5367, _u5366)) = _u5368) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_nat__intermed__int__val ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_nat__intermed__int__val-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5371), skolem123(_u5374, _u5373, _u5372, _u5371))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5371), _u5372)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5373, _u5371)), _u5374)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5374), hAPP(_u5373, _u5372))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5371), skolem124(_u5374, _u5373, _u5372, _u5371))) )).
% 20.36/20.53 cnf(fact_nat__intermed__int__val-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5371), skolem123(_u5374, _u5373, _u5372, _u5371))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5371), _u5372)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5373, _u5371)), _u5374)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5374), hAPP(_u5373, _u5372))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem124(_u5374, _u5373, _u5372, _u5371)), _u5372)) )).
% 20.36/20.53 cnf(fact_nat__intermed__int__val-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5371), skolem123(_u5374, _u5373, _u5372, _u5371))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5371), _u5372)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5373, _u5371)), _u5374)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5374), hAPP(_u5373, _u5372))) | ( hAPP(_u5373, skolem124(_u5374, _u5373, _u5372, _u5371)) = _u5374) )).
% 20.36/20.53 cnf(fact_nat__intermed__int__val-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem123(_u5374, _u5373, _u5372, _u5371)), _u5372)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5371), _u5372)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5373, _u5371)), _u5374)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5374), hAPP(_u5373, _u5372))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5371), skolem124(_u5374, _u5373, _u5372, _u5371))) )).
% 20.36/20.53 cnf(fact_nat__intermed__int__val-5, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem123(_u5374, _u5373, _u5372, _u5371)), _u5372)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5371), _u5372)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5373, _u5371)), _u5374)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5374), hAPP(_u5373, _u5372))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem124(_u5374, _u5373, _u5372, _u5371)), _u5372)) )).
% 20.36/20.53 cnf(fact_nat__intermed__int__val-6, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem123(_u5374, _u5373, _u5372, _u5371)), _u5372)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5371), _u5372)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5373, _u5371)), _u5374)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5374), hAPP(_u5373, _u5372))) | ( hAPP(_u5373, skolem124(_u5374, _u5373, _u5372, _u5371)) = _u5374) )).
% 20.36/20.53 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(_u5373, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem123(_u5374, _u5373, _u5372, _u5371)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u5373, skolem123(_u5374, _u5373, _u5372, _u5371))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5371), _u5372)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5373, _u5371)), _u5374)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5374), hAPP(_u5373, _u5372))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5371), skolem124(_u5374, _u5373, _u5372, _u5371))) )).
% 20.36/20.53 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(_u5373, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem123(_u5374, _u5373, _u5372, _u5371)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u5373, skolem123(_u5374, _u5373, _u5372, _u5371))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5371), _u5372)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5373, _u5371)), _u5374)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5374), hAPP(_u5373, _u5372))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem124(_u5374, _u5373, _u5372, _u5371)), _u5372)) )).
% 20.36/20.53 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(_u5373, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem123(_u5374, _u5373, _u5372, _u5371)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u5373, skolem123(_u5374, _u5373, _u5372, _u5371))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5371), _u5372)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5373, _u5371)), _u5374)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5374), hAPP(_u5373, _u5372))) | ( hAPP(_u5373, skolem124(_u5374, _u5373, _u5372, _u5371)) = _u5374) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_Suc__diff__eq__diff__pred ( axiom ) converted to clauses:
% 20.36/20.53 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)), _u5375)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5376)), _u5375) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5376), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5375), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls))))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_divmod__int__rel__mod__eq ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_divmod__int__rel__mod__eq-1, axiom, ( ( _u5377 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5378), _u5379)), _u5380)) | ( _u5378 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5377, _u5378) = _u5380) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5378)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5378), _u5380)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5380), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.53 cnf(fact_divmod__int__rel__mod__eq-2, axiom, ( ( _u5377 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5378), _u5379)), _u5380)) | ( _u5378 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5377, _u5378) = _u5380) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5380)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5380), _u5378)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5378)) )).
% 20.36/20.53 cnf(fact_divmod__int__rel__mod__eq-3, axiom, ( ( _u5377 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5378), _u5379)), _u5380)) | ( _u5378 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5377, _u5378) = _u5380) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5380)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5380), _u5378)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5378), _u5380)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5380), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zmult2__lemma__aux2 ( axiom ) converted to clauses:
% 20.36/20.53 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)), _u5381)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5382), _u5383)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5383), 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), _u5382), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5384, _u5381))), _u5383)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_rel__simps_I51_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_rel__simps_I51_J-1, axiom, ( ( c_Int_OBit1(_u5387) != c_Int_OBit1(_u5389)) | ( _u5387 = _u5389) )).
% 20.36/20.53 cnf(fact_rel__simps_I51_J-2, axiom, ( ( _u5388 != _u5390) | ( c_Int_OBit1(_u5388) = c_Int_OBit1(_u5390)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mod__mod__trivial ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mod__mod__trivial-1, axiom, ( ~class_Divides_Osemiring__div(_u5391) | ( c_Divides_Odiv__class_Omod(_u5391, c_Divides_Odiv__class_Omod(_u5391, _u5392, _u5393), _u5393) = c_Divides_Odiv__class_Omod(_u5391, _u5392, _u5393)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mod__0 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mod__0-1, axiom, ( ~class_Divides_Osemiring__div(_u5394) | ( c_Divides_Odiv__class_Omod(_u5394, c_Groups_Ozero__class_Ozero(_u5394), _u5395) = c_Groups_Ozero__class_Ozero(_u5394)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mod__by__0 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mod__by__0-1, axiom, ( ~class_Divides_Osemiring__div(_u5396) | ( c_Divides_Odiv__class_Omod(_u5396, _u5397, c_Groups_Ozero__class_Ozero(_u5396)) = _u5397) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mod__self ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mod__self-1, axiom, ( ~class_Divides_Osemiring__div(_u5398) | ( c_Divides_Odiv__class_Omod(_u5398, _u5399, _u5399) = c_Groups_Ozero__class_Ozero(_u5398)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mod__add__self2 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mod__add__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u5400) | ( c_Divides_Odiv__class_Omod(_u5400, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5400), _u5401), _u5402), _u5402) = c_Divides_Odiv__class_Omod(_u5400, _u5401, _u5402)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mod__add__self1 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mod__add__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u5403) | ( c_Divides_Odiv__class_Omod(_u5403, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5403), _u5404), _u5405), _u5404) = c_Divides_Odiv__class_Omod(_u5403, _u5405, _u5404)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mod__add__right__eq ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mod__add__right__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u5406) | ( c_Divides_Odiv__class_Omod(_u5406, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5406), _u5407), _u5408), _u5409) = c_Divides_Odiv__class_Omod(_u5406, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5406), _u5407), c_Divides_Odiv__class_Omod(_u5406, _u5408, _u5409)), _u5409)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mod__add__left__eq ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mod__add__left__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u5410) | ( c_Divides_Odiv__class_Omod(_u5410, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5410), _u5411), _u5412), _u5413) = c_Divides_Odiv__class_Omod(_u5410, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5410), c_Divides_Odiv__class_Omod(_u5410, _u5411, _u5413)), _u5412), _u5413)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mod__add__eq ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mod__add__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u5414) | ( c_Divides_Odiv__class_Omod(_u5414, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5414), _u5415), _u5416), _u5417) = c_Divides_Odiv__class_Omod(_u5414, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5414), c_Divides_Odiv__class_Omod(_u5414, _u5415, _u5417)), c_Divides_Odiv__class_Omod(_u5414, _u5416, _u5417)), _u5417)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zmod__simps_I2_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zmod__simps_I2_J-1, axiom, ( ~class_Divides_Osemiring__div(_u5418) | ( c_Divides_Odiv__class_Omod(_u5418, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5418), _u5419), c_Divides_Odiv__class_Omod(_u5418, _u5420, _u5421)), _u5421) = c_Divides_Odiv__class_Omod(_u5418, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5418), _u5419), _u5420), _u5421)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zmod__simps_I1_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zmod__simps_I1_J-1, axiom, ( ~class_Divides_Osemiring__div(_u5422) | ( c_Divides_Odiv__class_Omod(_u5422, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5422), c_Divides_Odiv__class_Omod(_u5422, _u5423, _u5424)), _u5425), _u5424) = c_Divides_Odiv__class_Omod(_u5422, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5422), _u5423), _u5425), _u5424)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mod__add__cong ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mod__add__cong-1, axiom, ( ~class_Divides_Osemiring__div(_u5426) | ( c_Divides_Odiv__class_Omod(_u5426, _u5427, _u5428) != c_Divides_Odiv__class_Omod(_u5426, _u5429, _u5428)) | ( c_Divides_Odiv__class_Omod(_u5426, _u5430, _u5428) != c_Divides_Odiv__class_Omod(_u5426, _u5431, _u5428)) | ( c_Divides_Odiv__class_Omod(_u5426, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5426), _u5427), _u5430), _u5428) = c_Divides_Odiv__class_Omod(_u5426, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5426), _u5429), _u5431), _u5428)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mod__mult__cong ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mod__mult__cong-1, axiom, ( ~class_Divides_Osemiring__div(_u5432) | ( c_Divides_Odiv__class_Omod(_u5432, _u5433, _u5434) != c_Divides_Odiv__class_Omod(_u5432, _u5435, _u5434)) | ( c_Divides_Odiv__class_Omod(_u5432, _u5436, _u5434) != c_Divides_Odiv__class_Omod(_u5432, _u5437, _u5434)) | ( c_Divides_Odiv__class_Omod(_u5432, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5432), _u5433), _u5436), _u5434) = c_Divides_Odiv__class_Omod(_u5432, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5432), _u5435), _u5437), _u5434)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zmod__simps_I4_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zmod__simps_I4_J-1, axiom, ( ~class_Divides_Osemiring__div(_u5438) | ( c_Divides_Odiv__class_Omod(_u5438, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5438), c_Divides_Odiv__class_Omod(_u5438, _u5439, _u5440)), _u5441), _u5440) = c_Divides_Odiv__class_Omod(_u5438, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5438), _u5439), _u5441), _u5440)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mod__mult__mult2 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mod__mult__mult2-1, axiom, ( ~class_Divides_Osemiring__div(_u5442) | ( c_Divides_Odiv__class_Omod(_u5442, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5442), _u5443), _u5444), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5442), _u5445), _u5444)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5442), c_Divides_Odiv__class_Omod(_u5442, _u5443, _u5445)), _u5444)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mod__mult__mult1 ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mod__mult__mult1-1, axiom, ( ~class_Divides_Osemiring__div(_u5446) | ( c_Divides_Odiv__class_Omod(_u5446, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5446), _u5447), _u5448), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5446), _u5447), _u5449)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5446), _u5447), c_Divides_Odiv__class_Omod(_u5446, _u5448, _u5449))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mod__mult__eq ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mod__mult__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u5450) | ( c_Divides_Odiv__class_Omod(_u5450, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5450), _u5451), _u5452), _u5453) = c_Divides_Odiv__class_Omod(_u5450, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5450), c_Divides_Odiv__class_Omod(_u5450, _u5451, _u5453)), c_Divides_Odiv__class_Omod(_u5450, _u5452, _u5453)), _u5453)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mod__mult__left__eq ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mod__mult__left__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u5454) | ( c_Divides_Odiv__class_Omod(_u5454, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5454), _u5455), _u5456), _u5457) = c_Divides_Odiv__class_Omod(_u5454, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5454), c_Divides_Odiv__class_Omod(_u5454, _u5455, _u5457)), _u5456), _u5457)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mod__mult__right__eq ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mod__mult__right__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u5458) | ( c_Divides_Odiv__class_Omod(_u5458, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5458), _u5459), _u5460), _u5461) = c_Divides_Odiv__class_Omod(_u5458, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5458), _u5459), c_Divides_Odiv__class_Omod(_u5458, _u5460, _u5461)), _u5461)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mod__diff__right__eq ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mod__diff__right__eq-1, axiom, ( ~class_Divides_Oring__div(_u5462) | ( c_Divides_Odiv__class_Omod(_u5462, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5462), _u5463), _u5464), _u5465) = c_Divides_Odiv__class_Omod(_u5462, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5462), _u5463), c_Divides_Odiv__class_Omod(_u5462, _u5464, _u5465)), _u5465)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mod__diff__left__eq ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mod__diff__left__eq-1, axiom, ( ~class_Divides_Oring__div(_u5466) | ( c_Divides_Odiv__class_Omod(_u5466, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5466), _u5467), _u5468), _u5469) = c_Divides_Odiv__class_Omod(_u5466, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5466), c_Divides_Odiv__class_Omod(_u5466, _u5467, _u5469)), _u5468), _u5469)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mod__diff__eq ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mod__diff__eq-1, axiom, ( ~class_Divides_Oring__div(_u5470) | ( c_Divides_Odiv__class_Omod(_u5470, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5470), _u5471), _u5472), _u5473) = c_Divides_Odiv__class_Omod(_u5470, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5470), c_Divides_Odiv__class_Omod(_u5470, _u5471, _u5473)), c_Divides_Odiv__class_Omod(_u5470, _u5472, _u5473)), _u5473)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_mod__diff__cong ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_mod__diff__cong-1, axiom, ( ~class_Divides_Oring__div(_u5474) | ( c_Divides_Odiv__class_Omod(_u5474, _u5475, _u5476) != c_Divides_Odiv__class_Omod(_u5474, _u5477, _u5476)) | ( c_Divides_Odiv__class_Omod(_u5474, _u5478, _u5476) != c_Divides_Odiv__class_Omod(_u5474, _u5479, _u5476)) | ( c_Divides_Odiv__class_Omod(_u5474, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5474), _u5475), _u5478), _u5476) = c_Divides_Odiv__class_Omod(_u5474, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5474), _u5477), _u5479), _u5476)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zmod__zero ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zmod__zero-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u5480) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zmod__self ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_zmod__self-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5481, _u5481) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_less__eq__int__code_I16_J ( axiom ) converted to clauses:
% 20.36/20.53 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(_u5484)), c_Int_OBit1(_u5486))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5484), _u5486)) )).
% 20.36/20.53 cnf(fact_less__eq__int__code_I16_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5485), _u5487)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5485)), c_Int_OBit1(_u5487))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_rel__simps_I34_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_rel__simps_I34_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5490)), c_Int_OBit1(_u5492))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5490), _u5492)) )).
% 20.36/20.53 cnf(fact_rel__simps_I34_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5491), _u5493)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5491)), c_Int_OBit1(_u5493))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_rel__simps_I17_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_rel__simps_I17_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5496)), c_Int_OBit1(_u5498))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5496), _u5498)) )).
% 20.36/20.53 cnf(fact_rel__simps_I17_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5497), _u5499)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5497)), c_Int_OBit1(_u5499))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_less__int__code_I16_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_less__int__code_I16_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5502)), c_Int_OBit1(_u5504))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5502), _u5504)) )).
% 20.36/20.53 cnf(fact_less__int__code_I16_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5503), _u5505)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5503)), c_Int_OBit1(_u5505))) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_rel__simps_I46_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_rel__simps_I46_J-1, axiom, ( ( c_Int_OBit1(_u5506) != c_Int_OPls) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_rel__simps_I39_J ( axiom ) converted to clauses:
% 20.36/20.53 cnf(fact_rel__simps_I39_J-1, axiom, ( ( c_Int_OPls != c_Int_OBit1(_u5507)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zmod__simps_I3_J ( axiom ) converted to clauses:
% 20.36/20.53 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), _u5508), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5509, _u5510)), _u5510) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5508), _u5509), _u5510)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zmod__zmult1__eq ( axiom ) converted to clauses:
% 20.36/20.53 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), _u5511), _u5512), _u5513) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5511), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5512, _u5513)), _u5513)) )).
% 20.36/20.53
% 20.36/20.53 % Formula: fact_zdiff__zmod__right ( axiom ) converted to clauses:
% 20.36/20.53 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), _u5514), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5515, _u5516)), _u5516) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5514), _u5515), _u5516)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zdiff__zmod__left ( axiom ) converted to clauses:
% 20.36/20.54 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, _u5517, _u5518)), _u5519), _u5518) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5517), _u5519), _u5518)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_mod__mult__self2__is__0 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_mod__mult__self2__is__0-1, axiom, ( ~class_Divides_Osemiring__div(_u5520) | ( c_Divides_Odiv__class_Omod(_u5520, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5520), _u5521), _u5522), _u5522) = c_Groups_Ozero__class_Ozero(_u5520)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_mod__mult__self1__is__0 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_mod__mult__self1__is__0-1, axiom, ( ~class_Divides_Osemiring__div(_u5523) | ( c_Divides_Odiv__class_Omod(_u5523, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5523), _u5524), _u5525), _u5524) = c_Groups_Ozero__class_Ozero(_u5523)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_mod__mult__self1 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_mod__mult__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u5526) | ( c_Divides_Odiv__class_Omod(_u5526, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5526), _u5527), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5526), _u5528), _u5529)), _u5529) = c_Divides_Odiv__class_Omod(_u5526, _u5527, _u5529)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_mod__mult__self2 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_mod__mult__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u5530) | ( c_Divides_Odiv__class_Omod(_u5530, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5530), _u5531), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5530), _u5532), _u5533)), _u5532) = c_Divides_Odiv__class_Omod(_u5530, _u5531, _u5532)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_mod__by__1 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_mod__by__1-1, axiom, ( ~class_Divides_Osemiring__div(_u5534) | ( c_Divides_Odiv__class_Omod(_u5534, _u5535, c_Groups_Oone__class_Oone(_u5534)) = c_Groups_Ozero__class_Ozero(_u5534)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Divides_Otransfer__nat__int__function__closures_I2_J ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u5536)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5537)) | 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, _u5536, _u5537))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zmod__le__nonneg__dividend ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u5538)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5538, _u5539)), _u5538)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_pos__mod__bound ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u5540)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5541, _u5540)), _u5540)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_neg__mod__bound ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_neg__mod__bound-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5542), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5542), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5543, _u5542))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_bin__less__0__simps_I4_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_bin__less__0__simps_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5545)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5545), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.54 cnf(fact_bin__less__0__simps_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5546), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5546)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zmod__eq__0__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_zmod__eq__0__iff-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5551, _u5553) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5551 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5553), skolem125(_u5553, _u5551))) )).
% 20.36/20.54 cnf(fact_zmod__eq__0__iff-2, axiom, ( ( _u5552 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5554), _u5548)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5552, _u5554) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_rel__simps_I22_J ( axiom ) converted to clauses:
% 20.36/20.54 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(_u5556))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u5556)) )).
% 20.36/20.54 cnf(fact_rel__simps_I22_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u5557)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u5557))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_rel__simps_I12_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_rel__simps_I12_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5559)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5559), c_Int_OPls)) )).
% 20.36/20.54 cnf(fact_rel__simps_I12_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5560), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5560)), c_Int_OPls)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Bit1__def ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_Bit1__def-1, axiom, ( ( c_Int_OBit1(_u5561) = 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)), _u5561)), _u5561)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_neg__number__of__Bit1 ( axiom ) converted to clauses:
% 20.36/20.54 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(_u5563)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5563))) )).
% 20.36/20.54 cnf(fact_neg__number__of__Bit1-2, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5564))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u5564)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_succ__Pls ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_succ__Pls-1, axiom, ( ( c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_number__of__Bit1 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_number__of__Bit1-1, axiom, ( ~class_Int_Onumber__ring(_u5565) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5565), c_Int_OBit1(_u5566)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5565), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5565), c_Groups_Oone__class_Oone(_u5565)), hAPP(c_Int_Onumber__class_Onumber__of(_u5565), _u5566))), hAPP(c_Int_Onumber__class_Onumber__of(_u5565), _u5566))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_mult__numeral__1 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_mult__numeral__1-1, axiom, ( ~class_Int_Onumber__ring(_u5567) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5567), hAPP(c_Int_Onumber__class_Onumber__of(_u5567), c_Int_OBit1(c_Int_OPls))), _u5568) = _u5568) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_mult__numeral__1__right ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_mult__numeral__1__right-1, axiom, ( ~class_Int_Onumber__ring(_u5569) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5569), _u5570), hAPP(c_Int_Onumber__class_Onumber__of(_u5569), c_Int_OBit1(c_Int_OPls))) = _u5570) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_mod__neg__neg__trivial ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_mod__neg__neg__trivial-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5571), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5572), _u5571)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5571, _u5572) = _u5571) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_neg__mod__conj ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_neg__mod__conj-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5573), 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, _u5574, _u5573)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.54 cnf(fact_neg__mod__conj-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5573), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5573), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5574, _u5573))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_neg__mod__sign ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_neg__mod__sign-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5575), 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, _u5576, _u5575)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_mod__pos__pos__trivial ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u5577)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5577), _u5578)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5577, _u5578) = _u5577) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_pos__mod__conj ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u5579)) | 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, _u5580, _u5579))) )).
% 20.36/20.54 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)), _u5579)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5580, _u5579)), _u5579)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_pos__mod__sign ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u5581)) | 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, _u5582, _u5581))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_semiring__norm_I110_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_semiring__norm_I110_J-1, axiom, ( ~class_Int_Onumber__ring(_u5583) | ( c_Groups_Oone__class_Oone(_u5583) = hAPP(c_Int_Onumber__class_Onumber__of(_u5583), c_Int_OBit1(c_Int_OPls))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_numeral__1__eq__1 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_numeral__1__eq__1-1, axiom, ( ~class_Int_Onumber__ring(_u5584) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5584), c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(_u5584)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_rel__simps_I5_J ( axiom ) converted to clauses:
% 20.36/20.54 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(_u5586))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u5586)) )).
% 20.36/20.54 cnf(fact_rel__simps_I5_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u5587)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u5587))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_rel__simps_I29_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_rel__simps_I29_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5589)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5589), c_Int_OPls)) )).
% 20.36/20.54 cnf(fact_rel__simps_I29_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5590), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5590)), c_Int_OPls)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_divide__numeral__1 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_divide__numeral__1-1, axiom, ( ~class_Fields_Ofield(_u5591) | ~class_Int_Onumber__ring(_u5591) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5591), _u5592), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), c_Int_OBit1(c_Int_OPls))) = _u5592) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_divide__Numeral1 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_divide__Numeral1-1, axiom, ( ~class_Fields_Ofield(_u5593) | ~class_Int_Onumber__ring(_u5593) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5593), _u5594), hAPP(c_Int_Onumber__class_Onumber__of(_u5593), c_Int_OBit1(c_Int_OPls))) = _u5594) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_one__is__num__one ( axiom ) converted to clauses:
% 20.36/20.54 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))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_nat__numeral__1__eq__1 ( axiom ) converted to clauses:
% 20.36/20.54 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)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Numeral1__eq1__nat ( axiom ) converted to clauses:
% 20.36/20.54 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))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_mod__pos__neg__trivial ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u5595)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5595), _u5596)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5595, _u5596) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5595), _u5596)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_numeral__1__eq__Suc__0 ( axiom ) converted to clauses:
% 20.36/20.54 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))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_numeral__3__eq__3 ( axiom ) converted to clauses:
% 20.36/20.54 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))))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J ( axiom ) converted to clauses:
% 20.36/20.54 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))))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Suc3__eq__add__3 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_Suc3__eq__add__3-1, axiom, ( ( hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u5597))) = 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)))), _u5597)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_transfer__int__nat__numerals_I4_J ( axiom ) converted to clauses:
% 20.36/20.54 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))))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_le__special_I4_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_le__special_I4_J-1, axiom, ( ~class_Int_Onumber__ring(_u5598) | ~class_Rings_Olinordered__idom(_u5598) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5598), hAPP(c_Int_Onumber__class_Onumber__of(_u5598), _u5599)), c_Groups_Oone__class_Oone(_u5598))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5599), c_Int_OBit1(c_Int_OPls))) )).
% 20.36/20.54 cnf(fact_le__special_I4_J-2, axiom, ( ~class_Int_Onumber__ring(_u5598) | ~class_Rings_Olinordered__idom(_u5598) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5599), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5598), hAPP(c_Int_Onumber__class_Onumber__of(_u5598), _u5599)), c_Groups_Oone__class_Oone(_u5598))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_le__special_I2_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_le__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u5600) | ~class_Rings_Olinordered__idom(_u5600) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5600), c_Groups_Oone__class_Oone(_u5600)), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u5601)) )).
% 20.36/20.54 cnf(fact_le__special_I2_J-2, axiom, ( ~class_Int_Onumber__ring(_u5600) | ~class_Rings_Olinordered__idom(_u5600) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u5601)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5600), c_Groups_Oone__class_Oone(_u5600)), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_less__special_I2_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_less__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u5602) | ~class_Rings_Olinordered__idom(_u5602) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5602), c_Groups_Oone__class_Oone(_u5602)), hAPP(c_Int_Onumber__class_Onumber__of(_u5602), _u5603))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u5603)) )).
% 20.36/20.54 cnf(fact_less__special_I2_J-2, axiom, ( ~class_Int_Onumber__ring(_u5602) | ~class_Rings_Olinordered__idom(_u5602) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u5603)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5602), c_Groups_Oone__class_Oone(_u5602)), hAPP(c_Int_Onumber__class_Onumber__of(_u5602), _u5603))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_less__special_I4_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_less__special_I4_J-1, axiom, ( ~class_Int_Onumber__ring(_u5604) | ~class_Rings_Olinordered__idom(_u5604) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5605)), c_Groups_Oone__class_Oone(_u5604))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5605), c_Int_OBit1(c_Int_OPls))) )).
% 20.36/20.54 cnf(fact_less__special_I4_J-2, axiom, ( ~class_Int_Onumber__ring(_u5604) | ~class_Rings_Olinordered__idom(_u5604) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5605), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5605)), c_Groups_Oone__class_Oone(_u5604))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_add__special_I3_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_add__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u5606) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5606), hAPP(c_Int_Onumber__class_Onumber__of(_u5606), _u5607)), c_Groups_Oone__class_Oone(_u5606)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5606), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5607), c_Int_OBit1(c_Int_OPls)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_add__special_I2_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_add__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u5608) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5608), c_Groups_Oone__class_Oone(_u5608)), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5609)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5608), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u5609))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_split__zmod ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_split__zmod-1, axiom, ( ~hBOOL(hAPP(_u5621, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5623, _u5625))) | ( _u5625 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u5621, _u5623)) )).
% 20.36/20.54 cnf(fact_split__zmod-2, axiom, ( ~hBOOL(hAPP(_u5621, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5623, _u5625))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5625)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5610)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5610), _u5625)) | ( _u5623 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5625), _u5611)), _u5610)) | hBOOL(hAPP(_u5621, _u5610)) )).
% 20.36/20.54 cnf(fact_split__zmod-3, axiom, ( ~hBOOL(hAPP(_u5621, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5623, _u5625))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5625), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5625), _u5612)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5612), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u5623 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5625), _u5613)), _u5612)) | hBOOL(hAPP(_u5621, _u5612)) )).
% 20.36/20.54 cnf(fact_split__zmod-4, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5626), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u5626 = 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)), _u5626)) )).
% 20.36/20.54 cnf(fact_split__zmod-5, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5626), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u5626 = 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)), skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.54 cnf(fact_split__zmod-6, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5626), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u5626 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem127(_u5626, _u5624, _u5622)), _u5626)) )).
% 20.36/20.54 cnf(fact_split__zmod-7, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5626), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u5626 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5624 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5626), skolem126(_u5626, _u5624, _u5622))), skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.54 cnf(fact_split__zmod-8, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5626), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u5626 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u5622, skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.54 cnf(fact_split__zmod-9, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5626), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u5622, _u5624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5626)) )).
% 20.36/20.54 cnf(fact_split__zmod-10, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5626), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u5622, _u5624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.54 cnf(fact_split__zmod-11, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5626), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u5622, _u5624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem127(_u5626, _u5624, _u5622)), _u5626)) )).
% 20.36/20.54 cnf(fact_split__zmod-12, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5626), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u5622, _u5624)) | ( _u5624 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5626), skolem126(_u5626, _u5624, _u5622))), skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.54 cnf(fact_split__zmod-13, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5626), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u5622, _u5624)) | ~hBOOL(hAPP(_u5622, skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.54 cnf(fact_split__zmod-14, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5626), skolem129(_u5626, _u5624, _u5622))) | ( _u5626 = 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)), _u5626)) )).
% 20.36/20.54 cnf(fact_split__zmod-15, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5626), skolem129(_u5626, _u5624, _u5622))) | ( _u5626 = 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)), skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.54 cnf(fact_split__zmod-16, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5626), skolem129(_u5626, _u5624, _u5622))) | ( _u5626 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem127(_u5626, _u5624, _u5622)), _u5626)) )).
% 20.36/20.54 cnf(fact_split__zmod-17, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5626), skolem129(_u5626, _u5624, _u5622))) | ( _u5626 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5624 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5626), skolem126(_u5626, _u5624, _u5622))), skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.54 cnf(fact_split__zmod-18, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5626), skolem129(_u5626, _u5624, _u5622))) | ( _u5626 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u5622, skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.54 cnf(fact_split__zmod-19, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem129(_u5626, _u5624, _u5622)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u5626 = 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)), _u5626)) )).
% 20.36/20.54 cnf(fact_split__zmod-20, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem129(_u5626, _u5624, _u5622)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u5626 = 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)), skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.54 cnf(fact_split__zmod-21, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem129(_u5626, _u5624, _u5622)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u5626 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem127(_u5626, _u5624, _u5622)), _u5626)) )).
% 20.36/20.54 cnf(fact_split__zmod-22, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem129(_u5626, _u5624, _u5622)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u5626 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5624 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5626), skolem126(_u5626, _u5624, _u5622))), skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.54 cnf(fact_split__zmod-23, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem129(_u5626, _u5624, _u5622)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u5626 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u5622, skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.54 cnf(fact_split__zmod-24, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | ( _u5624 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5626), skolem128(_u5626, _u5624, _u5622))), skolem129(_u5626, _u5624, _u5622))) | ( _u5626 = 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)), _u5626)) )).
% 20.36/20.54 cnf(fact_split__zmod-25, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | ( _u5624 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5626), skolem128(_u5626, _u5624, _u5622))), skolem129(_u5626, _u5624, _u5622))) | ( _u5626 = 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)), skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.54 cnf(fact_split__zmod-26, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | ( _u5624 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5626), skolem128(_u5626, _u5624, _u5622))), skolem129(_u5626, _u5624, _u5622))) | ( _u5626 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem127(_u5626, _u5624, _u5622)), _u5626)) )).
% 20.36/20.54 cnf(fact_split__zmod-27, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | ( _u5624 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5626), skolem128(_u5626, _u5624, _u5622))), skolem129(_u5626, _u5624, _u5622))) | ( _u5626 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5624 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5626), skolem126(_u5626, _u5624, _u5622))), skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.54 cnf(fact_split__zmod-28, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | ( _u5624 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5626), skolem128(_u5626, _u5624, _u5622))), skolem129(_u5626, _u5624, _u5622))) | ( _u5626 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u5622, skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.54 cnf(fact_split__zmod-29, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | ~hBOOL(hAPP(_u5622, skolem129(_u5626, _u5624, _u5622))) | ( _u5626 = 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)), _u5626)) )).
% 20.36/20.54 cnf(fact_split__zmod-30, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | ~hBOOL(hAPP(_u5622, skolem129(_u5626, _u5624, _u5622))) | ( _u5626 = 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)), skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.54 cnf(fact_split__zmod-31, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | ~hBOOL(hAPP(_u5622, skolem129(_u5626, _u5624, _u5622))) | ( _u5626 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem127(_u5626, _u5624, _u5622)), _u5626)) )).
% 20.36/20.54 cnf(fact_split__zmod-32, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | ~hBOOL(hAPP(_u5622, skolem129(_u5626, _u5624, _u5622))) | ( _u5626 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5624 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5626), skolem126(_u5626, _u5624, _u5622))), skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.54 cnf(fact_split__zmod-33, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | ~hBOOL(hAPP(_u5622, skolem129(_u5626, _u5624, _u5622))) | ( _u5626 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u5622, skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.54 cnf(fact_split__zmod-34, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5626), skolem129(_u5626, _u5624, _u5622))) | ~hBOOL(hAPP(_u5622, _u5624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5626)) )).
% 20.36/20.54 cnf(fact_split__zmod-35, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5626), skolem129(_u5626, _u5624, _u5622))) | ~hBOOL(hAPP(_u5622, _u5624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.54 cnf(fact_split__zmod-36, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5626), skolem129(_u5626, _u5624, _u5622))) | ~hBOOL(hAPP(_u5622, _u5624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem127(_u5626, _u5624, _u5622)), _u5626)) )).
% 20.36/20.54 cnf(fact_split__zmod-37, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5626), skolem129(_u5626, _u5624, _u5622))) | ~hBOOL(hAPP(_u5622, _u5624)) | ( _u5624 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5626), skolem126(_u5626, _u5624, _u5622))), skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.54 cnf(fact_split__zmod-38, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5626), skolem129(_u5626, _u5624, _u5622))) | ~hBOOL(hAPP(_u5622, _u5624)) | ~hBOOL(hAPP(_u5622, skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.54 cnf(fact_split__zmod-39, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem129(_u5626, _u5624, _u5622)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u5622, _u5624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5626)) )).
% 20.36/20.54 cnf(fact_split__zmod-40, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem129(_u5626, _u5624, _u5622)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u5622, _u5624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.54 cnf(fact_split__zmod-41, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem129(_u5626, _u5624, _u5622)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u5622, _u5624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem127(_u5626, _u5624, _u5622)), _u5626)) )).
% 20.36/20.54 cnf(fact_split__zmod-42, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem129(_u5626, _u5624, _u5622)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u5622, _u5624)) | ( _u5624 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5626), skolem126(_u5626, _u5624, _u5622))), skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.54 cnf(fact_split__zmod-43, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem129(_u5626, _u5624, _u5622)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u5622, _u5624)) | ~hBOOL(hAPP(_u5622, skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.54 cnf(fact_split__zmod-44, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | ( _u5624 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5626), skolem128(_u5626, _u5624, _u5622))), skolem129(_u5626, _u5624, _u5622))) | ~hBOOL(hAPP(_u5622, _u5624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5626)) )).
% 20.36/20.54 cnf(fact_split__zmod-45, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | ( _u5624 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5626), skolem128(_u5626, _u5624, _u5622))), skolem129(_u5626, _u5624, _u5622))) | ~hBOOL(hAPP(_u5622, _u5624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.54 cnf(fact_split__zmod-46, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | ( _u5624 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5626), skolem128(_u5626, _u5624, _u5622))), skolem129(_u5626, _u5624, _u5622))) | ~hBOOL(hAPP(_u5622, _u5624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem127(_u5626, _u5624, _u5622)), _u5626)) )).
% 20.36/20.54 cnf(fact_split__zmod-47, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | ( _u5624 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5626), skolem128(_u5626, _u5624, _u5622))), skolem129(_u5626, _u5624, _u5622))) | ~hBOOL(hAPP(_u5622, _u5624)) | ( _u5624 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5626), skolem126(_u5626, _u5624, _u5622))), skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.54 cnf(fact_split__zmod-48, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | ( _u5624 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5626), skolem128(_u5626, _u5624, _u5622))), skolem129(_u5626, _u5624, _u5622))) | ~hBOOL(hAPP(_u5622, _u5624)) | ~hBOOL(hAPP(_u5622, skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.54 cnf(fact_split__zmod-49, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | ~hBOOL(hAPP(_u5622, skolem129(_u5626, _u5624, _u5622))) | ~hBOOL(hAPP(_u5622, _u5624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5626)) )).
% 20.36/20.54 cnf(fact_split__zmod-50, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | ~hBOOL(hAPP(_u5622, skolem129(_u5626, _u5624, _u5622))) | ~hBOOL(hAPP(_u5622, _u5624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.54 cnf(fact_split__zmod-51, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | ~hBOOL(hAPP(_u5622, skolem129(_u5626, _u5624, _u5622))) | ~hBOOL(hAPP(_u5622, _u5624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem127(_u5626, _u5624, _u5622)), _u5626)) )).
% 20.36/20.54 cnf(fact_split__zmod-52, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | ~hBOOL(hAPP(_u5622, skolem129(_u5626, _u5624, _u5622))) | ~hBOOL(hAPP(_u5622, _u5624)) | ( _u5624 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5626), skolem126(_u5626, _u5624, _u5622))), skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.54 cnf(fact_split__zmod-53, axiom, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | ~hBOOL(hAPP(_u5622, skolem129(_u5626, _u5624, _u5622))) | ~hBOOL(hAPP(_u5622, _u5624)) | ~hBOOL(hAPP(_u5622, skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zmult2__lemma__aux3 ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u5627)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5628)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5628), _u5629)) | 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), _u5629), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5630, _u5627))), _u5628))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zmult2__lemma__aux4 ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u5631)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5632)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5632), _u5633)) | 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), _u5633), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5634, _u5631))), _u5632)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5633), _u5631))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zmult2__lemma__aux1 ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u5635)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5636), _u5637)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5637), 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), _u5636), _u5635)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5636), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5638, _u5635))), _u5637))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_neg__zmod__mult__2 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_neg__zmod__mult__2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5639), 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)))), _u5640)), 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)))), _u5639)) = 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), _u5640), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u5639))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zmod__number__of__Bit1 ( axiom ) converted to clauses:
% 20.36/20.54 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), _u5643))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u5645)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5643))) = 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), _u5645), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5643)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 20.36/20.54 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), _u5644))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u5646)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5644))) = 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), _u5646)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5644)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_pos__zmod__mult__2 ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u5647)) | ( 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)))), _u5648)), 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)))), _u5647)) = 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, _u5648, _u5647)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_one__code__numeral__code ( axiom ) converted to clauses:
% 20.36/20.54 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))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zmod__minus1 ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u5649)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u5649) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5649), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_diff__special_I2_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_diff__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u5650) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5650), hAPP(c_Int_Onumber__class_Onumber__of(_u5650), _u5651)), c_Groups_Oone__class_Oone(_u5650)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5650), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5651), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_negative__zle ( axiom ) converted to clauses:
% 20.36/20.54 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), _u5652))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5653))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_negative__zless ( axiom ) converted to clauses:
% 20.36/20.54 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, _u5654)))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5655))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_mult__minus1 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_mult__minus1-1, axiom, ( ~class_Int_Onumber__ring(_u5656) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5656), hAPP(c_Int_Onumber__class_Onumber__of(_u5656), c_Int_OMin)), _u5657) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5656), _u5657)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_mult__minus1__right ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_mult__minus1__right-1, axiom, ( ~class_Int_Onumber__ring(_u5658) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5658), _u5659), hAPP(c_Int_Onumber__class_Onumber__of(_u5658), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5658), _u5659)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_minus__number__of__mult ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_minus__number__of__mult-1, axiom, ( ~class_Int_Onumber__ring(_u5660) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5660), hAPP(c_Groups_Ouminus__class_Ouminus(_u5660), hAPP(c_Int_Onumber__class_Onumber__of(_u5660), _u5661))), _u5662) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5660), hAPP(c_Int_Onumber__class_Onumber__of(_u5660), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5661))), _u5662)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_pred__Min ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_pred__Min-1, axiom, ( ( c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_number__of__minus ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_number__of__minus-1, axiom, ( ~class_Int_Onumber__ring(_u5663) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5663), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5664)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5663), hAPP(c_Int_Onumber__class_Onumber__of(_u5663), _u5664))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_arith__simps_I30_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_arith__simps_I30_J-1, axiom, ( ~class_Int_Onumber__ring(_u5665) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5665), hAPP(c_Int_Onumber__class_Onumber__of(_u5665), _u5666)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5665), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5666))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_code__numeral__zero__minus__one ( axiom ) converted to clauses:
% 20.36/20.54 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)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Int_OMin__def ( axiom ) converted to clauses:
% 20.36/20.54 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))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zminus__zminus ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_zminus__zminus-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5667)) = _u5667) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_minus__Bit0 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_minus__Bit0-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit0(_u5668)) = c_Int_OBit0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5668))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_rel__simps_I42_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_rel__simps_I42_J-1, axiom, ( ( c_Int_OMin != c_Int_OBit0(_u5669)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_rel__simps_I45_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_rel__simps_I45_J-1, axiom, ( ( c_Int_OBit0(_u5670) != c_Int_OMin) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_rel__simps_I48_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_rel__simps_I48_J-1, axiom, ( ( c_Int_OBit0(_u5673) != c_Int_OBit0(_u5675)) | ( _u5673 = _u5675) )).
% 20.36/20.54 cnf(fact_rel__simps_I48_J-2, axiom, ( ( _u5674 != _u5676) | ( c_Int_OBit0(_u5674) = c_Int_OBit0(_u5676)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_minus__minus ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_minus__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u5677) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5677), hAPP(c_Groups_Ouminus__class_Ouminus(_u5677), _u5678)) = _u5678) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_equation__minus__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_equation__minus__iff-1, axiom, ( ~class_Groups_Ogroup__add(_u5679) | ( _u5680 != hAPP(c_Groups_Ouminus__class_Ouminus(_u5679), _u5681)) | ( _u5681 = hAPP(c_Groups_Ouminus__class_Ouminus(_u5679), _u5680)) )).
% 20.36/20.54 cnf(fact_equation__minus__iff-2, axiom, ( ~class_Groups_Ogroup__add(_u5679) | ( _u5681 != hAPP(c_Groups_Ouminus__class_Ouminus(_u5679), _u5680)) | ( _u5680 = hAPP(c_Groups_Ouminus__class_Ouminus(_u5679), _u5681)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_minus__equation__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_minus__equation__iff-1, axiom, ( ~class_Groups_Ogroup__add(_u5682) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5682), _u5683) != _u5684) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5682), _u5684) = _u5683) )).
% 20.36/20.54 cnf(fact_minus__equation__iff-2, axiom, ( ~class_Groups_Ogroup__add(_u5682) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5682), _u5684) != _u5683) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5682), _u5683) = _u5684) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_neg__equal__iff__equal ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_neg__equal__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u5685) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5685), _u5686) != hAPP(c_Groups_Ouminus__class_Ouminus(_u5685), _u5687)) | ( _u5686 = _u5687) )).
% 20.36/20.54 cnf(fact_neg__equal__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u5685) | ( _u5686 != _u5687) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5685), _u5686) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5685), _u5687)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_double__compl ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_double__compl-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u5688) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5688), hAPP(c_Groups_Ouminus__class_Ouminus(_u5688), _u5689)) = _u5689) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_uminus__apply ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_uminus__apply-1, axiom, ( ~class_Groups_Ouminus(_u5690) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5691, _u5690)), _u5692), _u5693) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5690), hAPP(_u5692, _u5693))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_compl__eq__compl__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_compl__eq__compl__iff-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u5694) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5694), _u5695) != hAPP(c_Groups_Ouminus__class_Ouminus(_u5694), _u5696)) | ( _u5695 = _u5696) )).
% 20.36/20.54 cnf(fact_compl__eq__compl__iff-2, axiom, ( ~class_Lattices_Oboolean__algebra(_u5694) | ( _u5695 != _u5696) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5694), _u5695) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5694), _u5696)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_rel__simps_I28_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_rel__simps_I28_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5698)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5698), c_Int_OMin)) )).
% 20.36/20.54 cnf(fact_rel__simps_I28_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5699), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5699)), c_Int_OMin)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_mult__Min ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_mult__Min-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OMin), _u5700) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5700)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_rel__simps_I8_J ( axiom ) converted to clauses:
% 20.36/20.54 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(_u5702))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u5702)) )).
% 20.36/20.54 cnf(fact_rel__simps_I8_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u5703)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u5703))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_arith__simps_I31_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_arith__simps_I31_J-1, axiom, ( ~class_Int_Onumber__ring(_u5704) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5704), c_Groups_Oone__class_Oone(_u5704)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5704), c_Int_OMin)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_number__of__Min ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_number__of__Min-1, axiom, ( ~class_Int_Onumber__ring(_u5705) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5705), c_Int_OMin) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5705), c_Groups_Oone__class_Oone(_u5705))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_rel__simps_I11_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_rel__simps_I11_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5707)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5707), c_Int_OMin)) )).
% 20.36/20.54 cnf(fact_rel__simps_I11_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5708), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5708)), c_Int_OMin)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_rel__simps_I25_J ( axiom ) converted to clauses:
% 20.36/20.54 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(_u5710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u5710)) )).
% 20.36/20.54 cnf(fact_rel__simps_I25_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u5711)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u5711))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_divide__minus1 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_divide__minus1-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5712) | ~class_Int_Onumber__ring(_u5712) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5712), _u5713), hAPP(c_Int_Onumber__class_Onumber__of(_u5712), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5712), _u5713)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_minus__Min ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_minus__Min-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OMin) = c_Int_OBit1(c_Int_OPls)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_diff__bin__simps_I5_J ( axiom ) converted to clauses:
% 20.36/20.54 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(_u5714)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u5714))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_diff__bin__simps_I6_J ( axiom ) converted to clauses:
% 20.36/20.54 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(_u5715)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u5715))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_compl__mono ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_compl__mono-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u5716) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5716), _u5717), _u5718)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5716), hAPP(c_Groups_Ouminus__class_Ouminus(_u5716), _u5718)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5716), _u5717))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_compl__le__compl__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_compl__le__compl__iff-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u5719) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5719), hAPP(c_Groups_Ouminus__class_Ouminus(_u5719), _u5720)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5719), _u5721))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5719), _u5721), _u5720)) )).
% 20.36/20.54 cnf(fact_compl__le__compl__iff-2, axiom, ( ~class_Lattices_Oboolean__algebra(_u5719) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5719), _u5721), _u5720)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5719), hAPP(c_Groups_Ouminus__class_Ouminus(_u5719), _u5720)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5719), _u5721))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_le__imp__neg__le ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_le__imp__neg__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u5722) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5722), _u5723), _u5724)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5722), hAPP(c_Groups_Ouminus__class_Ouminus(_u5722), _u5724)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5722), _u5723))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_neg__le__iff__le ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_neg__le__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u5725) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5725), hAPP(c_Groups_Ouminus__class_Ouminus(_u5725), _u5726)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5725), _u5727))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5725), _u5727), _u5726)) )).
% 20.36/20.54 cnf(fact_neg__le__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u5725) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5725), _u5727), _u5726)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5725), hAPP(c_Groups_Ouminus__class_Ouminus(_u5725), _u5726)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5725), _u5727))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_minus__le__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_minus__le__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u5728) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5728), hAPP(c_Groups_Ouminus__class_Ouminus(_u5728), _u5729)), _u5730)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5728), hAPP(c_Groups_Ouminus__class_Ouminus(_u5728), _u5730)), _u5729)) )).
% 20.36/20.54 cnf(fact_minus__le__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u5728) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5728), hAPP(c_Groups_Ouminus__class_Ouminus(_u5728), _u5730)), _u5729)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5728), hAPP(c_Groups_Ouminus__class_Ouminus(_u5728), _u5729)), _u5730)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_le__minus__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_le__minus__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u5731) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5731), _u5732), hAPP(c_Groups_Ouminus__class_Ouminus(_u5731), _u5733))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5731), _u5733), hAPP(c_Groups_Ouminus__class_Ouminus(_u5731), _u5732))) )).
% 20.36/20.54 cnf(fact_le__minus__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u5731) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5731), _u5733), hAPP(c_Groups_Ouminus__class_Ouminus(_u5731), _u5732))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5731), _u5732), hAPP(c_Groups_Ouminus__class_Ouminus(_u5731), _u5733))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_minus__zero ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_minus__zero-1, axiom, ( ~class_Groups_Ogroup__add(_u5734) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5734), c_Groups_Ozero__class_Ozero(_u5734)) = c_Groups_Ozero__class_Ozero(_u5734)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_neg__0__equal__iff__equal ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_neg__0__equal__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u5735) | ( c_Groups_Ozero__class_Ozero(_u5735) != hAPP(c_Groups_Ouminus__class_Ouminus(_u5735), _u5736)) | ( c_Groups_Ozero__class_Ozero(_u5735) = _u5736) )).
% 20.36/20.54 cnf(fact_neg__0__equal__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u5735) | ( c_Groups_Ozero__class_Ozero(_u5735) != _u5736) | ( c_Groups_Ozero__class_Ozero(_u5735) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5735), _u5736)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_equal__neg__zero ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_equal__neg__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u5737) | ( _u5738 != hAPP(c_Groups_Ouminus__class_Ouminus(_u5737), _u5738)) | ( _u5738 = c_Groups_Ozero__class_Ozero(_u5737)) )).
% 20.36/20.54 cnf(fact_equal__neg__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u5737) | ( _u5738 != c_Groups_Ozero__class_Ozero(_u5737)) | ( _u5738 = hAPP(c_Groups_Ouminus__class_Ouminus(_u5737), _u5738)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_neg__equal__0__iff__equal ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_neg__equal__0__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u5739) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5739), _u5740) != c_Groups_Ozero__class_Ozero(_u5739)) | ( _u5740 = c_Groups_Ozero__class_Ozero(_u5739)) )).
% 20.36/20.54 cnf(fact_neg__equal__0__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u5739) | ( _u5740 != c_Groups_Ozero__class_Ozero(_u5739)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5739), _u5740) = c_Groups_Ozero__class_Ozero(_u5739)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_neg__equal__zero ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_neg__equal__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u5741) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5741), _u5742) != _u5742) | ( _u5742 = c_Groups_Ozero__class_Ozero(_u5741)) )).
% 20.36/20.54 cnf(fact_neg__equal__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u5741) | ( _u5742 != c_Groups_Ozero__class_Ozero(_u5741)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5741), _u5742) = _u5742) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_less__minus__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_less__minus__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u5743) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5743), _u5744), hAPP(c_Groups_Ouminus__class_Ouminus(_u5743), _u5745))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5743), _u5745), hAPP(c_Groups_Ouminus__class_Ouminus(_u5743), _u5744))) )).
% 20.36/20.54 cnf(fact_less__minus__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u5743) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5743), _u5745), hAPP(c_Groups_Ouminus__class_Ouminus(_u5743), _u5744))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5743), _u5744), hAPP(c_Groups_Ouminus__class_Ouminus(_u5743), _u5745))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_minus__less__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_minus__less__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u5746) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5746), hAPP(c_Groups_Ouminus__class_Ouminus(_u5746), _u5747)), _u5748)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5746), hAPP(c_Groups_Ouminus__class_Ouminus(_u5746), _u5748)), _u5747)) )).
% 20.36/20.54 cnf(fact_minus__less__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u5746) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5746), hAPP(c_Groups_Ouminus__class_Ouminus(_u5746), _u5748)), _u5747)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5746), hAPP(c_Groups_Ouminus__class_Ouminus(_u5746), _u5747)), _u5748)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_neg__less__iff__less ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_neg__less__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u5749) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5749), hAPP(c_Groups_Ouminus__class_Ouminus(_u5749), _u5750)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5749), _u5751))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5749), _u5751), _u5750)) )).
% 20.36/20.54 cnf(fact_neg__less__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u5749) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5749), _u5751), _u5750)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5749), hAPP(c_Groups_Ouminus__class_Ouminus(_u5749), _u5750)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5749), _u5751))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_minus__add__distrib ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_minus__add__distrib-1, axiom, ( ~class_Groups_Oab__group__add(_u5752) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5752), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5752), _u5753), _u5754)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5752), hAPP(c_Groups_Ouminus__class_Ouminus(_u5752), _u5753)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5752), _u5754))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_minus__add ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_minus__add-1, axiom, ( ~class_Groups_Ogroup__add(_u5755) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5755), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5755), _u5756), _u5757)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5755), hAPP(c_Groups_Ouminus__class_Ouminus(_u5755), _u5757)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5755), _u5756))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_add__minus__cancel ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_add__minus__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u5758) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5758), _u5759), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5758), hAPP(c_Groups_Ouminus__class_Ouminus(_u5758), _u5759)), _u5760)) = _u5760) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_minus__add__cancel ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_minus__add__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u5761) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5761), hAPP(c_Groups_Ouminus__class_Ouminus(_u5761), _u5762)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5761), _u5762), _u5763)) = _u5763) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_square__eq__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_square__eq__iff-1, axiom, ( ~class_Rings_Oidom(_u5764) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5764), _u5765), _u5765) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5764), _u5766), _u5766)) | ( _u5765 = _u5766) | ( _u5765 = hAPP(c_Groups_Ouminus__class_Ouminus(_u5764), _u5766)) )).
% 20.36/20.54 cnf(fact_square__eq__iff-2, axiom, ( ~class_Rings_Oidom(_u5764) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5764), _u5765), _u5765) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5764), _u5766), _u5766)) | ( _u5765 != _u5766) )).
% 20.36/20.54 cnf(fact_square__eq__iff-3, axiom, ( ~class_Rings_Oidom(_u5764) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5764), _u5765), _u5765) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5764), _u5766), _u5766)) | ( _u5765 != hAPP(c_Groups_Ouminus__class_Ouminus(_u5764), _u5766)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_minus__mult__minus ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_minus__mult__minus-1, axiom, ( ~class_Rings_Oring(_u5767) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5767), hAPP(c_Groups_Ouminus__class_Ouminus(_u5767), _u5768)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5767), _u5769)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5767), _u5768), _u5769)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_minus__mult__commute ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_minus__mult__commute-1, axiom, ( ~class_Rings_Oring(_u5770) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5770), hAPP(c_Groups_Ouminus__class_Ouminus(_u5770), _u5771)), _u5772) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5770), _u5771), hAPP(c_Groups_Ouminus__class_Ouminus(_u5770), _u5772))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_minus__mult__left ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_minus__mult__left-1, axiom, ( ~class_Rings_Oring(_u5773) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5773), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5773), _u5774), _u5775)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5773), hAPP(c_Groups_Ouminus__class_Ouminus(_u5773), _u5774)), _u5775)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_minus__mult__right ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_minus__mult__right-1, axiom, ( ~class_Rings_Oring(_u5776) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5776), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5776), _u5777), _u5778)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5776), _u5777), hAPP(c_Groups_Ouminus__class_Ouminus(_u5776), _u5778))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_minus__diff__eq ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_minus__diff__eq-1, axiom, ( ~class_Groups_Oab__group__add(_u5779) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5779), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5779), _u5780), _u5781)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5779), _u5781), _u5780)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_mod__Suc__eq__Suc__mod ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_mod__Suc__eq__Suc__mod-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u5782), _u5783) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5782, _u5783)), _u5783)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_mod__less ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_mod__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5784), _u5785)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5784, _u5785) = _u5784) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_mod__minus__eq ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_mod__minus__eq-1, axiom, ( ~class_Divides_Oring__div(_u5786) | ( c_Divides_Odiv__class_Omod(_u5786, hAPP(c_Groups_Ouminus__class_Ouminus(_u5786), _u5787), _u5788) = c_Divides_Odiv__class_Omod(_u5786, hAPP(c_Groups_Ouminus__class_Ouminus(_u5786), c_Divides_Odiv__class_Omod(_u5786, _u5787, _u5788)), _u5788)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_mod__minus__cong ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_mod__minus__cong-1, axiom, ( ~class_Divides_Oring__div(_u5789) | ( c_Divides_Odiv__class_Omod(_u5789, _u5790, _u5791) != c_Divides_Odiv__class_Omod(_u5789, _u5792, _u5791)) | ( c_Divides_Odiv__class_Omod(_u5789, hAPP(c_Groups_Ouminus__class_Ouminus(_u5789), _u5790), _u5791) = c_Divides_Odiv__class_Omod(_u5789, hAPP(c_Groups_Ouminus__class_Ouminus(_u5789), _u5792), _u5791)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_mod__less__eq__dividend ( axiom ) converted to clauses:
% 20.36/20.54 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, _u5793, _u5794)), _u5793)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_rel__simps_I31_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_rel__simps_I31_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5797)), c_Int_OBit0(_u5799))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5797), _u5799)) )).
% 20.36/20.54 cnf(fact_rel__simps_I31_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5798), _u5800)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5798)), c_Int_OBit0(_u5800))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_less__eq__int__code_I13_J ( axiom ) converted to clauses:
% 20.36/20.54 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(_u5803)), c_Int_OBit0(_u5805))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5803), _u5805)) )).
% 20.36/20.54 cnf(fact_less__eq__int__code_I13_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5804), _u5806)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5804)), c_Int_OBit0(_u5806))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_less__int__code_I13_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_less__int__code_I13_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5809)), c_Int_OBit0(_u5811))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5809), _u5811)) )).
% 20.36/20.54 cnf(fact_less__int__code_I13_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5810), _u5812)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5810)), c_Int_OBit0(_u5812))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_rel__simps_I14_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_rel__simps_I14_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5815)), c_Int_OBit0(_u5817))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5815), _u5817)) )).
% 20.36/20.54 cnf(fact_rel__simps_I14_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5816), _u5818)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5816)), c_Int_OBit0(_u5818))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zminus__0 ( axiom ) converted to clauses:
% 20.36/20.54 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)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Bit0__Pls ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_Bit0__Pls-1, axiom, ( ( c_Int_OBit0(c_Int_OPls) = c_Int_OPls) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_rel__simps_I38_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_rel__simps_I38_J-1, axiom, ( ( c_Int_OPls != c_Int_OBit0(_u5820)) | ( c_Int_OPls = _u5820) )).
% 20.36/20.54 cnf(fact_rel__simps_I38_J-2, axiom, ( ( c_Int_OPls != _u5821) | ( c_Int_OPls = c_Int_OBit0(_u5821)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_rel__simps_I44_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_rel__simps_I44_J-1, axiom, ( ( c_Int_OBit0(_u5823) != c_Int_OPls) | ( _u5823 = c_Int_OPls) )).
% 20.36/20.54 cnf(fact_rel__simps_I44_J-2, axiom, ( ( _u5824 != c_Int_OPls) | ( c_Int_OBit0(_u5824) = c_Int_OPls) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_rel__simps_I49_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_rel__simps_I49_J-1, axiom, ( ( c_Int_OBit0(_u5825) != c_Int_OBit1(_u5826)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_rel__simps_I50_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_rel__simps_I50_J-1, axiom, ( ( c_Int_OBit1(_u5827) != c_Int_OBit0(_u5828)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_mod__mult__distrib2 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_mod__mult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5829), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5830, _u5831)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5829), _u5830), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5829), _u5831))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_mod__mult__distrib ( axiom ) converted to clauses:
% 20.36/20.54 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, _u5832, _u5833)), _u5834) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5832), _u5834), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5833), _u5834))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Bit0__def ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_Bit0__def-1, axiom, ( ( c_Int_OBit0(_u5835) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5835), _u5835)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_add__Bit0__Bit0 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_add__Bit0__Bit0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u5836)), c_Int_OBit0(_u5837)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5836), _u5837))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_rel__simps_I24_J ( axiom ) converted to clauses:
% 20.36/20.54 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)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_rel__simps_I7_J ( axiom ) converted to clauses:
% 20.36/20.54 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)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_minus__divide__left ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_minus__divide__left-1, axiom, ( ~class_Rings_Odivision__ring(_u5838) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5838), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5838), _u5839), _u5840)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5838), hAPP(c_Groups_Ouminus__class_Ouminus(_u5838), _u5839)), _u5840)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_minus__divide__right ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_minus__divide__right-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5841) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5841), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5841), _u5842), _u5843)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5841), _u5842), hAPP(c_Groups_Ouminus__class_Ouminus(_u5841), _u5843))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_minus__divide__divide ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_minus__divide__divide-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5844) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5844), hAPP(c_Groups_Ouminus__class_Ouminus(_u5844), _u5845)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5844), _u5846)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5844), _u5845), _u5846)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_mult__Bit0 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_mult__Bit0-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit0(_u5847)), _u5848) = c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5847), _u5848))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_abs__minus__cancel ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_abs__minus__cancel-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5849) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5849), hAPP(c_Groups_Ouminus__class_Ouminus(_u5849), _u5850)) = hAPP(c_Groups_Oabs__class_Oabs(_u5849), _u5850)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_rel__simps_I40_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_rel__simps_I40_J-1, axiom, ( ( c_Int_OMin != c_Int_OPls) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_rel__simps_I37_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_rel__simps_I37_J-1, axiom, ( ( c_Int_OPls != c_Int_OMin) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Bit1__Min ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_Bit1__Min-1, axiom, ( ( c_Int_OBit1(c_Int_OMin) = c_Int_OMin) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_rel__simps_I43_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_rel__simps_I43_J-1, axiom, ( ( c_Int_OMin != c_Int_OBit1(_u5852)) | ( c_Int_OMin = _u5852) )).
% 20.36/20.54 cnf(fact_rel__simps_I43_J-2, axiom, ( ( c_Int_OMin != _u5853) | ( c_Int_OMin = c_Int_OBit1(_u5853)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_rel__simps_I47_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_rel__simps_I47_J-1, axiom, ( ( c_Int_OBit1(_u5855) != c_Int_OMin) | ( _u5855 = c_Int_OMin) )).
% 20.36/20.54 cnf(fact_rel__simps_I47_J-2, axiom, ( ( _u5856 != c_Int_OMin) | ( c_Int_OBit1(_u5856) = c_Int_OMin) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_minus__Pls ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_minus__Pls-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls) = c_Int_OPls) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zminus__zadd__distrib ( axiom ) converted to clauses:
% 20.36/20.54 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), _u5857), _u5858)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5857)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5858))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_minus__numeral__code_I5_J ( axiom ) converted to clauses:
% 20.36/20.54 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), _u5859)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5859))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_diff__bin__simps_I7_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_diff__bin__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u5860)), c_Int_OBit0(_u5861)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5860), _u5861))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zmult__zminus ( axiom ) converted to clauses:
% 20.36/20.54 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), _u5862)), _u5863) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5862), _u5863))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zmod__zminus2 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_zmod__zminus2-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5864, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5865)) = 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), _u5864), _u5865))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zmod__zminus__zminus ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_zmod__zminus__zminus-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5866), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5867)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5866, _u5867))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zminus__zmod ( axiom ) converted to clauses:
% 20.36/20.54 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, _u5868, _u5869)), _u5869) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5868), _u5869)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_minus1__divide ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_minus1__divide-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5870) | ~class_Int_Onumber__ring(_u5870) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5870), hAPP(c_Int_Onumber__class_Onumber__of(_u5870), c_Int_OMin)), _u5871) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5870), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5870), c_Groups_Oone__class_Oone(_u5870)), _u5871))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_mod2__Suc__Suc ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_mod2__Suc__Suc-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u5872)), 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, _u5872, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_neg__0__le__iff__le ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_neg__0__le__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u5873) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5873), c_Groups_Ozero__class_Ozero(_u5873)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5873), _u5874))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5873), _u5874), c_Groups_Ozero__class_Ozero(_u5873))) )).
% 20.36/20.54 cnf(fact_neg__0__le__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u5873) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5873), _u5874), c_Groups_Ozero__class_Ozero(_u5873))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5873), c_Groups_Ozero__class_Ozero(_u5873)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5873), _u5874))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_le__minus__self__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_le__minus__self__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u5875) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5875), _u5876), hAPP(c_Groups_Ouminus__class_Ouminus(_u5875), _u5876))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5875), _u5876), c_Groups_Ozero__class_Ozero(_u5875))) )).
% 20.36/20.54 cnf(fact_le__minus__self__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u5875) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5875), _u5876), c_Groups_Ozero__class_Ozero(_u5875))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5875), _u5876), hAPP(c_Groups_Ouminus__class_Ouminus(_u5875), _u5876))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_neg__le__0__iff__le ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_neg__le__0__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u5877) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5877), hAPP(c_Groups_Ouminus__class_Ouminus(_u5877), _u5878)), c_Groups_Ozero__class_Ozero(_u5877))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5877), c_Groups_Ozero__class_Ozero(_u5877)), _u5878)) )).
% 20.36/20.54 cnf(fact_neg__le__0__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u5877) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5877), c_Groups_Ozero__class_Ozero(_u5877)), _u5878)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5877), hAPP(c_Groups_Ouminus__class_Ouminus(_u5877), _u5878)), c_Groups_Ozero__class_Ozero(_u5877))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_minus__le__self__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_minus__le__self__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u5879) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5879), hAPP(c_Groups_Ouminus__class_Ouminus(_u5879), _u5880)), _u5880)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5879), c_Groups_Ozero__class_Ozero(_u5879)), _u5880)) )).
% 20.36/20.54 cnf(fact_minus__le__self__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u5879) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5879), c_Groups_Ozero__class_Ozero(_u5879)), _u5880)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5879), hAPP(c_Groups_Ouminus__class_Ouminus(_u5879), _u5880)), _u5880)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_less__minus__self__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_less__minus__self__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u5881) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5881), _u5882), hAPP(c_Groups_Ouminus__class_Ouminus(_u5881), _u5882))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5881), _u5882), c_Groups_Ozero__class_Ozero(_u5881))) )).
% 20.36/20.54 cnf(fact_less__minus__self__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u5881) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5881), _u5882), c_Groups_Ozero__class_Ozero(_u5881))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5881), _u5882), hAPP(c_Groups_Ouminus__class_Ouminus(_u5881), _u5882))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_neg__0__less__iff__less ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_neg__0__less__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u5883) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5883), c_Groups_Ozero__class_Ozero(_u5883)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5883), _u5884))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5883), _u5884), c_Groups_Ozero__class_Ozero(_u5883))) )).
% 20.36/20.54 cnf(fact_neg__0__less__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u5883) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5883), _u5884), c_Groups_Ozero__class_Ozero(_u5883))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5883), c_Groups_Ozero__class_Ozero(_u5883)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5883), _u5884))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_neg__less__0__iff__less ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_neg__less__0__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u5885) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5885), hAPP(c_Groups_Ouminus__class_Ouminus(_u5885), _u5886)), c_Groups_Ozero__class_Ozero(_u5885))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5885), c_Groups_Ozero__class_Ozero(_u5885)), _u5886)) )).
% 20.36/20.54 cnf(fact_neg__less__0__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u5885) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5885), c_Groups_Ozero__class_Ozero(_u5885)), _u5886)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5885), hAPP(c_Groups_Ouminus__class_Ouminus(_u5885), _u5886)), c_Groups_Ozero__class_Ozero(_u5885))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_neg__less__nonneg ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_neg__less__nonneg-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u5887) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5887), hAPP(c_Groups_Ouminus__class_Ouminus(_u5887), _u5888)), _u5888)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5887), c_Groups_Ozero__class_Ozero(_u5887)), _u5888)) )).
% 20.36/20.54 cnf(fact_neg__less__nonneg-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u5887) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5887), c_Groups_Ozero__class_Ozero(_u5887)), _u5888)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5887), hAPP(c_Groups_Ouminus__class_Ouminus(_u5887), _u5888)), _u5888)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_right__minus ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_right__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u5889) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5889), _u5890), hAPP(c_Groups_Ouminus__class_Ouminus(_u5889), _u5890)) = c_Groups_Ozero__class_Ozero(_u5889)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_eq__neg__iff__add__eq__0 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_eq__neg__iff__add__eq__0-1, axiom, ( ~class_Groups_Ogroup__add(_u5891) | ( _u5892 != hAPP(c_Groups_Ouminus__class_Ouminus(_u5891), _u5893)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5891), _u5892), _u5893) = c_Groups_Ozero__class_Ozero(_u5891)) )).
% 20.36/20.54 cnf(fact_eq__neg__iff__add__eq__0-2, axiom, ( ~class_Groups_Ogroup__add(_u5891) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5891), _u5892), _u5893) != c_Groups_Ozero__class_Ozero(_u5891)) | ( _u5892 = hAPP(c_Groups_Ouminus__class_Ouminus(_u5891), _u5893)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_left__minus ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_left__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u5894) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5894), hAPP(c_Groups_Ouminus__class_Ouminus(_u5894), _u5895)), _u5895) = c_Groups_Ozero__class_Ozero(_u5894)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_ab__left__minus ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_ab__left__minus-1, axiom, ( ~class_Groups_Oab__group__add(_u5896) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5896), hAPP(c_Groups_Ouminus__class_Ouminus(_u5896), _u5897)), _u5897) = c_Groups_Ozero__class_Ozero(_u5896)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_minus__unique ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_minus__unique-1, axiom, ( ~class_Groups_Ogroup__add(_u5898) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5898), _u5899), _u5900) != c_Groups_Ozero__class_Ozero(_u5898)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5898), _u5899) = _u5900) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_diff__0 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_diff__0-1, axiom, ( ~class_Groups_Ogroup__add(_u5901) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5901), c_Groups_Ozero__class_Ozero(_u5901)), _u5902) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5901), _u5902)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u5903) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5903), _u5904), _u5905) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5903), _u5904), hAPP(c_Groups_Ouminus__class_Ouminus(_u5903), _u5905))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_diff__def ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_diff__def-1, axiom, ( ~class_Groups_Ogroup__add(_u5906) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5906), _u5907), _u5908) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5906), _u5907), hAPP(c_Groups_Ouminus__class_Ouminus(_u5906), _u5908))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_ab__diff__minus ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_ab__diff__minus-1, axiom, ( ~class_Groups_Oab__group__add(_u5909) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5909), _u5910), _u5911) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5909), _u5910), hAPP(c_Groups_Ouminus__class_Ouminus(_u5909), _u5911))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_diff__minus__eq__add ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_diff__minus__eq__add-1, axiom, ( ~class_Groups_Ogroup__add(_u5912) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5912), _u5913), hAPP(c_Groups_Ouminus__class_Ouminus(_u5912), _u5914)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5912), _u5913), _u5914)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u5915) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5915), _u5916) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5915), hAPP(c_Groups_Ouminus__class_Ouminus(_u5915), c_Groups_Oone__class_Oone(_u5915))), _u5916)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_square__eq__1__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_square__eq__1__iff-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u5917) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5917), _u5918), _u5918) != c_Groups_Oone__class_Oone(_u5917)) | ( _u5918 = c_Groups_Oone__class_Oone(_u5917)) | ( _u5918 = hAPP(c_Groups_Ouminus__class_Ouminus(_u5917), c_Groups_Oone__class_Oone(_u5917))) )).
% 20.36/20.54 cnf(fact_square__eq__1__iff-2, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u5917) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5917), _u5918), _u5918) = c_Groups_Oone__class_Oone(_u5917)) | ( _u5918 != c_Groups_Oone__class_Oone(_u5917)) )).
% 20.36/20.54 cnf(fact_square__eq__1__iff-3, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u5917) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5917), _u5918), _u5918) = c_Groups_Oone__class_Oone(_u5917)) | ( _u5918 != hAPP(c_Groups_Ouminus__class_Ouminus(_u5917), c_Groups_Oone__class_Oone(_u5917))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_compl__inf__bot ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_compl__inf__bot-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u5919) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5919), hAPP(c_Groups_Ouminus__class_Ouminus(_u5919), _u5920)), _u5920) = c_Orderings_Obot__class_Obot(_u5919)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_inf__compl__bot ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_inf__compl__bot-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u5921) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5921), _u5922), hAPP(c_Groups_Ouminus__class_Ouminus(_u5921), _u5922)) = c_Orderings_Obot__class_Obot(_u5921)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_diff__eq ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_diff__eq-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u5923) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5923), _u5924), _u5925) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5923), _u5924), hAPP(c_Groups_Ouminus__class_Ouminus(_u5923), _u5925))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_mod__Suc ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_mod__Suc-1, axiom, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5928, _u5930)) != _u5930) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u5928), _u5930) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.54 cnf(fact_mod__Suc-2, axiom, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5929, _u5931)) = _u5931) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u5929), _u5931) = hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5929, _u5931))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_mod__1 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_mod__1-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5932, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_mod__less__divisor ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u5933)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5934, _u5933)), _u5933)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_compl__inf ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_compl__inf-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u5935) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5935), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5935), _u5936), _u5937)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u5935), hAPP(c_Groups_Ouminus__class_Ouminus(_u5935), _u5936)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5935), _u5937))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_compl__sup ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_compl__sup-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u5938) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5938), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u5938), _u5939), _u5940)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5938), hAPP(c_Groups_Ouminus__class_Ouminus(_u5938), _u5939)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5938), _u5940))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_nonzero__minus__divide__right ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_nonzero__minus__divide__right-1, axiom, ( ~class_Rings_Odivision__ring(_u5941) | ( _u5942 = c_Groups_Ozero__class_Ozero(_u5941)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5941), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5941), _u5943), _u5942)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5941), _u5943), hAPP(c_Groups_Ouminus__class_Ouminus(_u5941), _u5942))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_nonzero__minus__divide__divide ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_nonzero__minus__divide__divide-1, axiom, ( ~class_Rings_Odivision__ring(_u5944) | ( _u5945 = c_Groups_Ozero__class_Ozero(_u5944)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5944), hAPP(c_Groups_Ouminus__class_Ouminus(_u5944), _u5946)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5944), _u5945)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5944), _u5946), _u5945)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_abs__le__D2 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_abs__le__D2-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5947) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5947), hAPP(c_Groups_Oabs__class_Oabs(_u5947), _u5948)), _u5949)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5947), hAPP(c_Groups_Ouminus__class_Ouminus(_u5947), _u5948)), _u5949)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_abs__leI ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_abs__leI-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5950) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5950), _u5951), _u5952)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5950), hAPP(c_Groups_Ouminus__class_Ouminus(_u5950), _u5951)), _u5952)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5950), hAPP(c_Groups_Oabs__class_Oabs(_u5950), _u5951)), _u5952)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_abs__le__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_abs__le__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5953) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5953), hAPP(c_Groups_Oabs__class_Oabs(_u5953), _u5954)), _u5955)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5953), _u5954), _u5955)) )).
% 20.36/20.54 cnf(fact_abs__le__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5953) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5953), hAPP(c_Groups_Oabs__class_Oabs(_u5953), _u5954)), _u5955)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5953), hAPP(c_Groups_Ouminus__class_Ouminus(_u5953), _u5954)), _u5955)) )).
% 20.36/20.54 cnf(fact_abs__le__iff-3, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5953) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5953), _u5954), _u5955)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5953), hAPP(c_Groups_Ouminus__class_Ouminus(_u5953), _u5954)), _u5955)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5953), hAPP(c_Groups_Oabs__class_Oabs(_u5953), _u5954)), _u5955)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_abs__ge__minus__self ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_abs__ge__minus__self-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5956) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5956), hAPP(c_Groups_Ouminus__class_Ouminus(_u5956), _u5957)), hAPP(c_Groups_Oabs__class_Oabs(_u5956), _u5957))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_abs__less__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_abs__less__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u5958) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5958), hAPP(c_Groups_Oabs__class_Oabs(_u5958), _u5959)), _u5960)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5958), _u5959), _u5960)) )).
% 20.36/20.54 cnf(fact_abs__less__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u5958) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5958), hAPP(c_Groups_Oabs__class_Oabs(_u5958), _u5959)), _u5960)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5958), hAPP(c_Groups_Ouminus__class_Ouminus(_u5958), _u5959)), _u5960)) )).
% 20.36/20.54 cnf(fact_abs__less__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u5958) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5958), _u5959), _u5960)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5958), hAPP(c_Groups_Ouminus__class_Ouminus(_u5958), _u5959)), _u5960)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5958), hAPP(c_Groups_Oabs__class_Oabs(_u5958), _u5959)), _u5960)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_mod__eq__0__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_mod__eq__0__iff-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5965, _u5967) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u5965 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5967), skolem130(_u5967, _u5965))) )).
% 20.36/20.54 cnf(fact_mod__eq__0__iff-2, axiom, ( ( _u5966 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5968), _u5962)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5966, _u5968) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_bin__less__0__simps_I3_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_bin__less__0__simps_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5970)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5970), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.54 cnf(fact_bin__less__0__simps_I3_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5971), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5971)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_mod__if ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_mod__if-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5974), _u5976)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5974, _u5976) = _u5974) )).
% 20.36/20.54 cnf(fact_mod__if-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5975), _u5977)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5975, _u5977) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5975), _u5977), _u5977)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_mod__geq ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_mod__geq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5978), _u5979)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5978, _u5979) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5978), _u5979), _u5979)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_mod__mult__self3 ( axiom ) converted to clauses:
% 20.36/20.54 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), _u5980), _u5981)), _u5982), _u5981) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5982, _u5981)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_rel__simps_I27_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_rel__simps_I27_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5984)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5984), c_Int_OPls)) )).
% 20.36/20.54 cnf(fact_rel__simps_I27_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5985), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5985)), c_Int_OPls)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_rel__simps_I21_J ( axiom ) converted to clauses:
% 20.36/20.54 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(_u5987))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u5987)) )).
% 20.36/20.54 cnf(fact_rel__simps_I21_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u5988)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u5988))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_less__eq__int__code_I14_J ( axiom ) converted to clauses:
% 20.36/20.54 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(_u5991)), c_Int_OBit1(_u5993))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5991), _u5993)) )).
% 20.36/20.54 cnf(fact_less__eq__int__code_I14_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5992), _u5994)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5992)), c_Int_OBit1(_u5994))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_rel__simps_I32_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_rel__simps_I32_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5997)), c_Int_OBit1(_u5999))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5997), _u5999)) )).
% 20.36/20.54 cnf(fact_rel__simps_I32_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5998), _u6000)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5998)), c_Int_OBit1(_u6000))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_le__mod__geq ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_le__mod__geq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6001), _u6002)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6002, _u6001) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6002), _u6001), _u6001)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_rel__simps_I4_J ( axiom ) converted to clauses:
% 20.36/20.54 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(_u6004))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u6004)) )).
% 20.36/20.54 cnf(fact_rel__simps_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u6005)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u6005))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_rel__simps_I10_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_rel__simps_I10_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u6007)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6007), c_Int_OPls)) )).
% 20.36/20.54 cnf(fact_rel__simps_I10_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6008), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u6008)), c_Int_OPls)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_rel__simps_I16_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_rel__simps_I16_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u6011)), c_Int_OBit0(_u6013))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6011), _u6013)) )).
% 20.36/20.54 cnf(fact_rel__simps_I16_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6012), _u6014)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u6012)), c_Int_OBit0(_u6014))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_less__int__code_I15_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_less__int__code_I15_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u6017)), c_Int_OBit0(_u6019))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6017), _u6019)) )).
% 20.36/20.54 cnf(fact_less__int__code_I15_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6018), _u6020)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u6018)), c_Int_OBit0(_u6020))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_add__Bit1__Bit0 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_add__Bit1__Bit0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u6021)), c_Int_OBit0(_u6022)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6021), _u6022))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_add__Bit0__Bit1 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_add__Bit0__Bit1-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u6023)), c_Int_OBit1(_u6024)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6023), _u6024))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_bin__less__0__simps_I2_J ( axiom ) converted to clauses:
% 20.36/20.54 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))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zadd__zminus__inverse2 ( axiom ) converted to clauses:
% 20.36/20.54 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), _u6025)), _u6025) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_negative__eq__positive ( axiom ) converted to clauses:
% 20.36/20.54 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), _u6028)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6030)) | ( _u6028 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.54 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), _u6028)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6030)) | ( _u6030 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.54 cnf(fact_negative__eq__positive-3, axiom, ( ( _u6029 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6031 != 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), _u6029)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6031)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_rel__simps_I20_J ( axiom ) converted to clauses:
% 20.36/20.54 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)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_rel__simps_I23_J ( axiom ) converted to clauses:
% 20.36/20.54 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)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_rel__simps_I30_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_rel__simps_I30_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u6033)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6033), c_Int_OMin)) )).
% 20.36/20.54 cnf(fact_rel__simps_I30_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6034), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u6034)), c_Int_OMin)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_rel__simps_I26_J ( axiom ) converted to clauses:
% 20.36/20.54 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(_u6036))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u6036)) )).
% 20.36/20.54 cnf(fact_rel__simps_I26_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u6037)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u6037))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_rel__simps_I6_J ( axiom ) converted to clauses:
% 20.36/20.54 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)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_rel__simps_I3_J ( axiom ) converted to clauses:
% 20.36/20.54 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)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_rel__simps_I9_J ( axiom ) converted to clauses:
% 20.36/20.54 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(_u6039))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u6039)) )).
% 20.36/20.54 cnf(fact_rel__simps_I9_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u6040)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u6040))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_rel__simps_I13_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_rel__simps_I13_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u6042)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6042), c_Int_OMin)) )).
% 20.36/20.54 cnf(fact_rel__simps_I13_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6043), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u6043)), c_Int_OMin)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_diff__bin__simps_I3_J ( axiom ) converted to clauses:
% 20.36/20.54 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(_u6044)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), _u6044))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_diff__bin__simps_I9_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_diff__bin__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u6045)), c_Int_OBit0(_u6046)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6045), _u6046))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_diff__bin__simps_I10_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_diff__bin__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u6047)), c_Int_OBit1(_u6048)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6047), _u6048))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zmod__int ( axiom ) converted to clauses:
% 20.36/20.54 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, _u6049, _u6050)) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6049), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6050))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Divides_Otransfer__int__nat__functions_I2_J ( axiom ) converted to clauses:
% 20.36/20.54 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), _u6051), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6052)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6051, _u6052))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_eq__number__of__Pls__Min ( axiom ) converted to clauses:
% 20.36/20.54 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)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_not__int__zless__negative ( axiom ) converted to clauses:
% 20.36/20.54 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), _u6053)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6054)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zmod__zminus2__not__zero ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_zmod__zminus2__not__zero-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6055, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6056)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6055, _u6056) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zmod__zminus1__not__zero ( axiom ) converted to clauses:
% 20.36/20.54 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), _u6057), _u6058) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6057, _u6058) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_diff__int__def ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_diff__int__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6059), _u6060) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6059), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6060))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_diff__int__def__symmetric ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_diff__int__def__symmetric-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6061), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6062)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6061), _u6062)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Ints__minus ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_Ints__minus-1, axiom, ( ~class_Rings_Oring__1(_u6063) | ~hBOOL(hAPP(hAPP(c_member(_u6063), _u6064), c_Int_Oring__1__class_OInts(_u6063))) | hBOOL(hAPP(hAPP(c_member(_u6063), hAPP(c_Groups_Ouminus__class_Ouminus(_u6063), _u6064)), c_Int_Oring__1__class_OInts(_u6063))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_neg__number__of__Bit0 ( axiom ) converted to clauses:
% 20.36/20.54 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(_u6066)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6066))) )).
% 20.36/20.54 cnf(fact_neg__number__of__Bit0-2, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6067))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u6067)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_pred__Bit0 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_pred__Bit0-1, axiom, ( ( c_Int_Opred(c_Int_OBit0(_u6068)) = c_Int_OBit1(c_Int_Opred(_u6068))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_pred__Bit1 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_pred__Bit1-1, axiom, ( ( c_Int_Opred(c_Int_OBit1(_u6069)) = c_Int_OBit0(_u6069)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_neg__number__of__Min ( axiom ) converted to clauses:
% 20.36/20.54 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))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_pred__Pls ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_pred__Pls-1, axiom, ( ( c_Int_Opred(c_Int_OPls) = c_Int_OMin) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_minus__Bit1 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_minus__Bit1-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(_u6070)) = c_Int_OBit1(c_Int_Opred(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6070)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_add__Min__right ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_add__Min__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6071), c_Int_OMin) = c_Int_Opred(_u6071)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_add__Min ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_add__Min-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OMin), _u6072) = c_Int_Opred(_u6072)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_succ__Bit1 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_succ__Bit1-1, axiom, ( ( c_Int_Osucc(c_Int_OBit1(_u6073)) = c_Int_OBit0(c_Int_Osucc(_u6073))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_succ__Bit0 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_succ__Bit0-1, axiom, ( ( c_Int_Osucc(c_Int_OBit0(_u6074)) = c_Int_OBit1(_u6074)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_succ__Min ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_succ__Min-1, axiom, ( ( c_Int_Osucc(c_Int_OMin) = c_Int_OPls) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_diff__bin__simps_I2_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_diff__bin__simps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6075), c_Int_OMin) = c_Int_Osucc(_u6075)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_mod2__gr__0 ( axiom ) converted to clauses:
% 20.36/20.54 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, _u6077, 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, _u6077, 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)) )).
% 20.36/20.54 cnf(fact_mod2__gr__0-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6078, 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, _u6078, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_number__of__Bit0 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_number__of__Bit0-1, axiom, ( ~class_Int_Onumber__ring(_u6079) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u6079), c_Int_OBit0(_u6080)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6079), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6079), c_Groups_Ozero__class_Ozero(_u6079)), hAPP(c_Int_Onumber__class_Onumber__of(_u6079), _u6080))), hAPP(c_Int_Onumber__class_Onumber__of(_u6079), _u6080))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_abs__of__nonpos ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_abs__of__nonpos-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u6081) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6081), _u6082), c_Groups_Ozero__class_Ozero(_u6081))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u6081), _u6082) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6081), _u6082)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_abs__minus__le__zero ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_abs__minus__le__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u6083) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6083), hAPP(c_Groups_Ouminus__class_Ouminus(_u6083), hAPP(c_Groups_Oabs__class_Oabs(_u6083), _u6084))), c_Groups_Ozero__class_Ozero(_u6083))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_abs__if ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_abs__if-1, axiom, ( ~class_Groups_Oabs__if(_u6085) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6085), _u6086), c_Groups_Ozero__class_Ozero(_u6085))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u6085), _u6086) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6085), _u6086)) )).
% 20.36/20.54 cnf(fact_abs__if-2, axiom, ( ~class_Groups_Oabs__if(_u6085) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6085), _u6086), c_Groups_Ozero__class_Ozero(_u6085))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u6085), _u6086) = _u6086) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_abs__of__neg ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_abs__of__neg-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u6087) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6087), _u6088), c_Groups_Ozero__class_Ozero(_u6087))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u6087), _u6088) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6087), _u6088)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_mod__le__divisor ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6089)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6090, _u6089)), _u6089)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_mod__mult__self4 ( axiom ) converted to clauses:
% 20.36/20.54 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), _u6091), _u6092)), _u6093)), _u6092) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u6093), _u6092)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_less__eq__int__code_I15_J ( axiom ) converted to clauses:
% 20.36/20.54 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(_u6096)), c_Int_OBit0(_u6098))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6096), _u6098)) )).
% 20.36/20.54 cnf(fact_less__eq__int__code_I15_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6097), _u6099)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u6097)), c_Int_OBit0(_u6099))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_rel__simps_I33_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_rel__simps_I33_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u6102)), c_Int_OBit0(_u6104))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6102), _u6104)) )).
% 20.36/20.54 cnf(fact_rel__simps_I33_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6103), _u6105)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u6103)), c_Int_OBit0(_u6105))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_less__int__code_I14_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_less__int__code_I14_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u6108)), c_Int_OBit1(_u6110))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6108), _u6110)) )).
% 20.36/20.54 cnf(fact_less__int__code_I14_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6109), _u6111)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u6109)), c_Int_OBit1(_u6111))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_rel__simps_I15_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_rel__simps_I15_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u6114)), c_Int_OBit1(_u6116))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6114), _u6116)) )).
% 20.36/20.54 cnf(fact_rel__simps_I15_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6115), _u6117)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u6115)), c_Int_OBit1(_u6117))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_diff__number__of__eq ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_diff__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u6118) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6118), hAPP(c_Int_Onumber__class_Onumber__of(_u6118), _u6119)), hAPP(c_Int_Onumber__class_Onumber__of(_u6118), _u6120)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6118), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6119), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6120)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_mult__Bit1 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_mult__Bit1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit1(_u6121)), _u6122) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6121), _u6122))), _u6122)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_abs__minus__one ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_abs__minus__one-1, axiom, ( ~class_Int_Onumber__ring(_u6123) | ~class_Rings_Olinordered__idom(_u6123) | ( hAPP(c_Groups_Oabs__class_Oabs(_u6123), hAPP(c_Int_Onumber__class_Onumber__of(_u6123), c_Int_OMin)) = c_Groups_Oone__class_Oone(_u6123)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_int__zle__neg ( axiom ) converted to clauses:
% 20.36/20.54 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), _u6126)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6128)))) | ( _u6126 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.54 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), _u6126)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6128)))) | ( _u6128 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.54 cnf(fact_int__zle__neg-3, axiom, ( ( _u6127 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6129 != 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), _u6127)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6129)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_negative__zle__0 ( axiom ) converted to clauses:
% 20.36/20.54 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), _u6130))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zmod__minus1__right ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_zmod__minus1__right-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6131, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_diff__bin__simps_I4_J ( axiom ) converted to clauses:
% 20.36/20.54 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(_u6132)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u6132))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_pos__zmult__eq__1__iff__lemma ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_pos__zmult__eq__1__iff__lemma-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6133), _u6134) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6133 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6133 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zmult__eq__1__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_zmult__eq__1__iff-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6137), _u6139) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6137 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6137 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 20.36/20.54 cnf(fact_zmult__eq__1__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6137), _u6139) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6137 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6139 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 20.36/20.54 cnf(fact_zmult__eq__1__iff-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6137), _u6139) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6139 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6137 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 20.36/20.54 cnf(fact_zmult__eq__1__iff-4, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6137), _u6139) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6139 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6139 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 20.36/20.54 cnf(fact_zmult__eq__1__iff-5, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6138), _u6140) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6138 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6140 != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 20.36/20.54 cnf(fact_zmult__eq__1__iff-6, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6138), _u6140) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6138 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) | ( _u6140 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_minus__numeral__code_I6_J ( axiom ) converted to clauses:
% 20.36/20.54 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), _u6141)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6142)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6141), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6142)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zmod__zminus1__eq__if ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_zmod__zminus1__eq__if-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6145, _u6147) != 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), _u6145), _u6147) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.54 cnf(fact_zmod__zminus1__eq__if-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6146, _u6148) = 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), _u6146), _u6148) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6148), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6146, _u6148))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zmod__zminus2__eq__if ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_zmod__zminus2__eq__if-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6151, _u6153) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6151, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6153)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.54 cnf(fact_zmod__zminus2__eq__if-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6152, _u6154) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6152, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6154)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6152, _u6154)), _u6154)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zabs__def ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_zabs__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6156), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6156) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6156)) )).
% 20.36/20.54 cnf(fact_zabs__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6157), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6157) = _u6157) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_neg__zminus__int ( axiom ) converted to clauses:
% 20.36/20.54 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, _u6158))))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_diff__bin__simps_I8_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_diff__bin__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u6159)), c_Int_OBit1(_u6160)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_Opred(_u6159)), _u6160))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_add__Bit1__Bit1 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_add__Bit1__Bit1-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u6161)), c_Int_OBit1(_u6162)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6161), c_Int_Osucc(_u6162)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zero__code__numeral__code ( axiom ) converted to clauses:
% 20.36/20.54 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)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_double__number__of__Bit0 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_double__number__of__Bit0-1, axiom, ( ~class_Int_Onumber__ring(_u6163) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6163), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6163), c_Groups_Oone__class_Oone(_u6163)), c_Groups_Oone__class_Oone(_u6163))), hAPP(c_Int_Onumber__class_Onumber__of(_u6163), _u6164)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6163), c_Int_OBit0(_u6164))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_abs__number__of ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_abs__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u6165) | ~class_Rings_Olinordered__idom(_u6165) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6165), hAPP(c_Int_Onumber__class_Onumber__of(_u6165), _u6166)), c_Groups_Ozero__class_Ozero(_u6165))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u6165), hAPP(c_Int_Onumber__class_Onumber__of(_u6165), _u6166)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6165), hAPP(c_Int_Onumber__class_Onumber__of(_u6165), _u6166))) )).
% 20.36/20.54 cnf(fact_abs__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u6165) | ~class_Rings_Olinordered__idom(_u6165) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6165), hAPP(c_Int_Onumber__class_Onumber__of(_u6165), _u6166)), c_Groups_Ozero__class_Ozero(_u6165))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u6165), hAPP(c_Int_Onumber__class_Onumber__of(_u6165), _u6166)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6165), _u6166)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_split__mod ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_split__mod-1, axiom, ( ~hBOOL(hAPP(_u6174, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6176, _u6178))) | ( _u6178 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u6174, _u6176)) )).
% 20.36/20.54 cnf(fact_split__mod-2, axiom, ( ~hBOOL(hAPP(_u6174, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6176, _u6178))) | ( _u6178 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6167), _u6178)) | ( _u6176 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6178), _u6168)), _u6167)) | hBOOL(hAPP(_u6174, _u6167)) )).
% 20.36/20.54 cnf(fact_split__mod-3, axiom, ( hBOOL(hAPP(_u6175, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6177, _u6179))) | ( _u6179 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem132(_u6179, _u6177, _u6175)), _u6179)) )).
% 20.36/20.54 cnf(fact_split__mod-4, axiom, ( hBOOL(hAPP(_u6175, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6177, _u6179))) | ( _u6179 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6177 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6179), skolem131(_u6179, _u6177, _u6175))), skolem132(_u6179, _u6177, _u6175))) )).
% 20.36/20.54 cnf(fact_split__mod-5, axiom, ( hBOOL(hAPP(_u6175, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6177, _u6179))) | ( _u6179 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u6175, skolem132(_u6179, _u6177, _u6175))) )).
% 20.36/20.54 cnf(fact_split__mod-6, axiom, ( hBOOL(hAPP(_u6175, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6177, _u6179))) | ~hBOOL(hAPP(_u6175, _u6177)) | ( _u6179 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.54 cnf(fact_split__mod-7, axiom, ( hBOOL(hAPP(_u6175, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6177, _u6179))) | ~hBOOL(hAPP(_u6175, _u6177)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem132(_u6179, _u6177, _u6175)), _u6179)) )).
% 20.36/20.54 cnf(fact_split__mod-8, axiom, ( hBOOL(hAPP(_u6175, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6177, _u6179))) | ~hBOOL(hAPP(_u6175, _u6177)) | ( _u6177 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6179), skolem131(_u6179, _u6177, _u6175))), skolem132(_u6179, _u6177, _u6175))) )).
% 20.36/20.54 cnf(fact_split__mod-9, axiom, ( hBOOL(hAPP(_u6175, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6177, _u6179))) | ~hBOOL(hAPP(_u6175, _u6177)) | ~hBOOL(hAPP(_u6175, skolem132(_u6179, _u6177, _u6175))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_mod__lemma ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6180)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6181), _u6182)) | 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), _u6182), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6183, _u6180))), _u6181)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6182), _u6180))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_add__number__of__diff2 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_add__number__of__diff2-1, axiom, ( ~class_Int_Onumber__ring(_u6184) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6184), hAPP(c_Int_Onumber__class_Onumber__of(_u6184), _u6185)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6184), _u6186), hAPP(c_Int_Onumber__class_Onumber__of(_u6184), _u6187))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6184), hAPP(c_Int_Onumber__class_Onumber__of(_u6184), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6185), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6187)))), _u6186)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_number__of1 ( axiom ) converted to clauses:
% 20.36/20.54 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), _u6188))) | 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(_u6188)))) )).
% 20.36/20.54 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), _u6188))) | 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(_u6188)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Suc__times__mod__eq ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6189)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6189), _u6190)), _u6189) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_number__of__pred ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_number__of__pred-1, axiom, ( ~class_Int_Onumber__ring(_u6191) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u6191), c_Int_Opred(_u6192)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6191), hAPP(c_Groups_Ouminus__class_Ouminus(_u6191), c_Groups_Oone__class_Oone(_u6191))), hAPP(c_Int_Onumber__class_Onumber__of(_u6191), _u6192))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_not__zle__0__negative ( axiom ) converted to clauses:
% 20.36/20.54 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, _u6193))))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_negative__zless__0 ( axiom ) converted to clauses:
% 20.36/20.54 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, _u6194)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_mult__2__right ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_mult__2__right-1, axiom, ( ~class_Int_Onumber__ring(_u6195) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6195), _u6196), hAPP(c_Int_Onumber__class_Onumber__of(_u6195), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6195), _u6196), _u6196)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_mult__2 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_mult__2-1, axiom, ( ~class_Int_Onumber__ring(_u6197) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6197), hAPP(c_Int_Onumber__class_Onumber__of(_u6197), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u6198) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6197), _u6198), _u6198)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_one__add__one__is__two ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_one__add__one__is__two-1, axiom, ( ~class_Int_Onumber__ring(_u6199) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6199), c_Groups_Oone__class_Oone(_u6199)), c_Groups_Oone__class_Oone(_u6199)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6199), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_mod__Suc__eq__mod__add3 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_mod__Suc__eq__mod__add3-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6200, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u6201)))) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6200, 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)))), _u6201))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Suc__mod__eq__add3__mod ( axiom ) converted to clauses:
% 20.36/20.54 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, _u6202))), _u6203) = 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)))), _u6202), _u6203)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Suc__mod__eq__add3__mod__number__of ( axiom ) converted to clauses:
% 20.36/20.54 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, _u6204))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6205)) = 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)))), _u6204), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6205))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_numeral__2__eq__2 ( axiom ) converted to clauses:
% 20.36/20.54 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)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_semiring__norm_I115_J ( axiom ) converted to clauses:
% 20.36/20.54 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)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J ( axiom ) converted to clauses:
% 20.36/20.54 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))))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_add__2__eq__Suc ( axiom ) converted to clauses:
% 20.36/20.54 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)))), _u6206) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u6206))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_add__2__eq__Suc_H ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_add__2__eq__Suc_H-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6207), 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, _u6207))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_nat__mult__2__right ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_nat__mult__2__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6208), 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), _u6208), _u6208)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_nat__mult__2 ( axiom ) converted to clauses:
% 20.36/20.54 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)))), _u6209) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6209), _u6209)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_transfer__int__nat__numerals_I3_J ( axiom ) converted to clauses:
% 20.36/20.54 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))))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_nat__1__add__1 ( axiom ) converted to clauses:
% 20.36/20.54 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)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zmod__number__of__Bit0 ( axiom ) converted to clauses:
% 20.36/20.54 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(_u6210)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u6211))) = 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), _u6210), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6211)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_half__gt__zero ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_half__gt__zero-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u6212) | ~class_Int_Onumber__ring(_u6212) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6212), c_Groups_Ozero__class_Ozero(_u6212)), _u6213)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6212), c_Groups_Ozero__class_Ozero(_u6212)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u6212), _u6213), hAPP(c_Int_Onumber__class_Onumber__of(_u6212), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_half__gt__zero__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_half__gt__zero__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u6214) | ~class_Int_Onumber__ring(_u6214) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6214), c_Groups_Ozero__class_Ozero(_u6214)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u6214), _u6215), hAPP(c_Int_Onumber__class_Onumber__of(_u6214), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6214), c_Groups_Ozero__class_Ozero(_u6214)), _u6215)) )).
% 20.36/20.54 cnf(fact_half__gt__zero__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u6214) | ~class_Int_Onumber__ring(_u6214) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6214), c_Groups_Ozero__class_Ozero(_u6214)), _u6215)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6214), c_Groups_Ozero__class_Ozero(_u6214)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u6214), _u6215), hAPP(c_Int_Onumber__class_Onumber__of(_u6214), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_less__2__cases ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_less__2__cases-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6216), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ( _u6216 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6216 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_diff__special_I1_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_diff__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u6217) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6217), c_Groups_Oone__class_Oone(_u6217)), hAPP(c_Int_Onumber__class_Onumber__of(_u6217), _u6218)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6217), 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), _u6218)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_eq__special_I4_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_eq__special_I4_J-1, axiom, ( ~class_Int_Onumber__ring(_u6219) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u6219), _u6220) != c_Groups_Oone__class_Oone(_u6219)) | c_Int_Oiszero(_u6219, hAPP(c_Int_Onumber__class_Onumber__of(_u6219), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6220), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 20.36/20.54 cnf(fact_eq__special_I4_J-2, axiom, ( ~class_Int_Onumber__ring(_u6219) | ~c_Int_Oiszero(_u6219, hAPP(c_Int_Onumber__class_Onumber__of(_u6219), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6220), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u6219), _u6220) = c_Groups_Oone__class_Oone(_u6219)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_eq__special_I2_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_eq__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u6221) | ( c_Groups_Oone__class_Oone(_u6221) != hAPP(c_Int_Onumber__class_Onumber__of(_u6221), _u6222)) | c_Int_Oiszero(_u6221, hAPP(c_Int_Onumber__class_Onumber__of(_u6221), 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), _u6222)))) )).
% 20.36/20.54 cnf(fact_eq__special_I2_J-2, axiom, ( ~class_Int_Onumber__ring(_u6221) | ~c_Int_Oiszero(_u6221, hAPP(c_Int_Onumber__class_Onumber__of(_u6221), 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), _u6222)))) | ( c_Groups_Oone__class_Oone(_u6221) = hAPP(c_Int_Onumber__class_Onumber__of(_u6221), _u6222)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_z3mod__def ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6225)) | ( c_SMT_Oz3mod(_u6227, _u6225) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6227, _u6225)) )).
% 20.36/20.54 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)), _u6226)) | ( c_SMT_Oz3mod(_u6228, _u6226) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6228, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6226))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_neg__zdiv__mult__2 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_neg__zdiv__mult__2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6229), 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)))), _u6230))), 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)))), _u6229)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6230), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u6229)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_pos__zdiv__mult__2 ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6231)) | ( 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)))), _u6232))), 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)))), _u6231)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6232), _u6231)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_of__nat__double ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_of__nat__double-1, axiom, ( ~class_Rings_Osemiring__1(_u6233) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6234)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6233), 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)))), _u6234))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6233), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6233), hAPP(c_Int_Onat, _u6234))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6233), hAPP(c_Int_Onat, _u6234)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_ComplI ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_ComplI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u6235), _u6236), _u6237)) | hBOOL(hAPP(hAPP(c_member(_u6235), _u6236), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6235, tc_HOL_Obool)), _u6237))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_ComplE ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_ComplE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u6238), _u6239), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6238, tc_HOL_Obool)), _u6240))) | ~hBOOL(hAPP(hAPP(c_member(_u6238), _u6239), _u6240)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_ComplD ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_ComplD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u6241), _u6242), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6241, tc_HOL_Obool)), _u6243))) | ~hBOOL(hAPP(hAPP(c_member(_u6241), _u6242), _u6243)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Compl__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_Compl__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u6247), _u6249), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6247, tc_HOL_Obool)), _u6251))) | ~hBOOL(hAPP(hAPP(c_member(_u6247), _u6249), _u6251)) )).
% 20.36/20.54 cnf(fact_Compl__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u6248), _u6250), _u6252)) | hBOOL(hAPP(hAPP(c_member(_u6248), _u6250), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6248, tc_HOL_Obool)), _u6252))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zdiv__zero ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_zdiv__zero-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6253) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Compl__anti__mono ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_Compl__anti__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6254, tc_HOL_Obool)), _u6255), _u6256)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6254, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6254, tc_HOL_Obool)), _u6256)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6254, tc_HOL_Obool)), _u6255))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Compl__subset__Compl__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_Compl__subset__Compl__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6260, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6260, tc_HOL_Obool)), _u6262)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6260, tc_HOL_Obool)), _u6264))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6260, tc_HOL_Obool)), _u6264), _u6262)) )).
% 20.36/20.54 cnf(fact_Compl__subset__Compl__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6261, tc_HOL_Obool)), _u6265), _u6263)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6261, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6261, tc_HOL_Obool)), _u6263)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6261, tc_HOL_Obool)), _u6265))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_nat__int ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_nat__int-1, axiom, ( ( hAPP(c_Int_Onat, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6266)) = _u6266) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zdiv__zminus__zminus ( axiom ) converted to clauses:
% 20.36/20.54 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), _u6267)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6268)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6267), _u6268)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zdiv__zminus2 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_zdiv__zminus2-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6269), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6270)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6269)), _u6270)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_div__0 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_div__0-1, axiom, ( ~class_Divides_Osemiring__div(_u6271) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6271), c_Groups_Ozero__class_Ozero(_u6271)), _u6272) = c_Groups_Ozero__class_Ozero(_u6271)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_div__by__0 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_div__by__0-1, axiom, ( ~class_Divides_Osemiring__div(_u6273) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6273), _u6274), c_Groups_Ozero__class_Ozero(_u6273)) = c_Groups_Ozero__class_Ozero(_u6273)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_vimage__Compl ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_vimage__Compl-1, axiom, ( ( hAPP(c_Set_Ovimage(_u6275, _u6276, _u6277), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6276, tc_HOL_Obool)), _u6278)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6275, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u6275, _u6276, _u6277), _u6278))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_div__by__1 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_div__by__1-1, axiom, ( ~class_Divides_Osemiring__div(_u6279) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6279), _u6280), c_Groups_Oone__class_Oone(_u6279)) = _u6280) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_iszero__0 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_iszero__0-1, axiom, ( ~class_Rings_Osemiring__1(_u6281) | c_Int_Oiszero(_u6281, c_Groups_Ozero__class_Ozero(_u6281)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_iszero__def ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_iszero__def-1, axiom, ( ~class_Rings_Osemiring__1(_u6282) | ~c_Int_Oiszero(_u6282, _u6283) | ( _u6283 = c_Groups_Ozero__class_Ozero(_u6282)) )).
% 20.36/20.54 cnf(fact_iszero__def-2, axiom, ( ~class_Rings_Osemiring__1(_u6282) | ( _u6283 != c_Groups_Ozero__class_Ozero(_u6282)) | c_Int_Oiszero(_u6282, _u6283) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_nat__0 ( axiom ) converted to clauses:
% 20.36/20.54 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)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_transfer__nat__int__numerals_I1_J ( axiom ) converted to clauses:
% 20.36/20.54 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))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Divides_Otransfer__nat__int__function__closures_I1_J ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6285)) | 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), _u6284), _u6285))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_not__iszero__1 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_not__iszero__1-1, axiom, ( ~class_Rings_Osemiring__1(_u6286) | ~c_Int_Oiszero(_u6286, c_Groups_Oone__class_Oone(_u6286)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_pos__imp__zdiv__neg__iff ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6287)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6288), _u6287)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6288), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.54 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)), _u6287)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6288), 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), _u6288), _u6287)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_neg__imp__zdiv__neg__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_neg__imp__zdiv__neg__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6289), 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), _u6290), _u6289)), 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)), _u6290)) )).
% 20.36/20.54 cnf(fact_neg__imp__zdiv__neg__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6289), 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)), _u6290)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6290), _u6289)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_div__neg__pos__less0 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_div__neg__pos__less0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6291), 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)), _u6292)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6291), _u6292)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_eq__nat__nat__iff ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6293)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6294)) | ( hAPP(c_Int_Onat, _u6293) != hAPP(c_Int_Onat, _u6294)) | ( _u6293 = _u6294) )).
% 20.36/20.54 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)), _u6293)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6294)) | ( _u6293 != _u6294) | ( hAPP(c_Int_Onat, _u6293) = hAPP(c_Int_Onat, _u6294)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_transfer__nat__int__relations_I1_J ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6295)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6296)) | ( hAPP(c_Int_Onat, _u6295) != hAPP(c_Int_Onat, _u6296)) | ( _u6295 = _u6296) )).
% 20.36/20.54 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)), _u6295)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6296)) | ( _u6295 != _u6296) | ( hAPP(c_Int_Onat, _u6295) = hAPP(c_Int_Onat, _u6296)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_all__nat ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_all__nat-1, axiom, ( ~hBOOL(hAPP(_u6302, skolem133(_u6302))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6298)) | hBOOL(hAPP(_u6302, hAPP(c_Int_Onat, _u6298))) )).
% 20.36/20.54 cnf(fact_all__nat-2, axiom, ( hBOOL(hAPP(_u6303, _u6300)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem134(_u6303))) )).
% 20.36/20.54 cnf(fact_all__nat-3, axiom, ( hBOOL(hAPP(_u6303, _u6300)) | ~hBOOL(hAPP(_u6303, hAPP(c_Int_Onat, skolem134(_u6303)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_ex__nat ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_ex__nat-1, axiom, ( ~hBOOL(hAPP(_u6309, _u6304)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem135(_u6309))) )).
% 20.36/20.54 cnf(fact_ex__nat-2, axiom, ( ~hBOOL(hAPP(_u6309, _u6304)) | hBOOL(hAPP(_u6309, hAPP(c_Int_Onat, skolem135(_u6309)))) )).
% 20.36/20.54 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)), _u6306)) | ~hBOOL(hAPP(_u6310, hAPP(c_Int_Onat, _u6306))) | hBOOL(hAPP(_u6310, skolem136(_u6310))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zdiv__self ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_zdiv__self-1, axiom, ( ( _u6311 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6311), _u6311) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_subset__Compl__self__eq ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_subset__Compl__self__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6314, tc_HOL_Obool)), _u6316), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6314, tc_HOL_Obool)), _u6316))) | ( _u6316 = c_Orderings_Obot__class_Obot(tc_fun(_u6314, tc_HOL_Obool))) )).
% 20.36/20.54 cnf(fact_subset__Compl__self__eq-2, axiom, ( ( _u6317 != c_Orderings_Obot__class_Obot(tc_fun(_u6315, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6315, tc_HOL_Obool)), _u6317), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6315, tc_HOL_Obool)), _u6317))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Compl__disjoint ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_Compl__disjoint-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6318, tc_HOL_Obool)), _u6319), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6318, tc_HOL_Obool)), _u6319)) = c_Orderings_Obot__class_Obot(tc_fun(_u6318, tc_HOL_Obool))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Compl__disjoint2 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_Compl__disjoint2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6320, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6320, tc_HOL_Obool)), _u6321)), _u6321) = c_Orderings_Obot__class_Obot(tc_fun(_u6320, tc_HOL_Obool))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zdiv__number__of__Bit0 ( axiom ) converted to clauses:
% 20.36/20.54 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(_u6322))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u6323))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6322)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6323))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zmod__zdiv__trivial ( axiom ) converted to clauses:
% 20.36/20.54 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, _u6324, _u6325)), _u6325) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_DIVISION__BY__ZERO ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_DIVISION__BY__ZERO-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6327), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.54 cnf(fact_DIVISION__BY__ZERO-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6328, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u6328) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_nat__number__of__def ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_nat__number__of__def-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6329) = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6329))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_nat__number__of ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_nat__number__of-1, axiom, ( ( hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6330)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6330)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Compl__Un ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_Compl__Un-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6331, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6331, tc_HOL_Obool)), _u6332), _u6333)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6331, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6331, tc_HOL_Obool)), _u6332)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6331, tc_HOL_Obool)), _u6333))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Compl__Int ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_Compl__Int-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6334, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6334, tc_HOL_Obool)), _u6335), _u6336)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6334, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6334, tc_HOL_Obool)), _u6335)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6334, tc_HOL_Obool)), _u6336))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zdiv__zadd1__eq ( axiom ) converted to clauses:
% 20.36/20.54 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), _u6337), _u6338)), _u6339) = 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), _u6337), _u6339)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6338), _u6339))), 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, _u6337, _u6339)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6338, _u6339))), _u6339))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Compl__Diff__eq ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_Compl__Diff__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6340, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6340, tc_HOL_Obool)), _u6341), _u6342)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6340, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6340, tc_HOL_Obool)), _u6341)), _u6342)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Diff__Compl ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_Diff__Compl-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6343, tc_HOL_Obool)), _u6344), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6343, tc_HOL_Obool)), _u6345)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6343, tc_HOL_Obool)), _u6344), _u6345)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Diff__eq ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_Diff__eq-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6346, tc_HOL_Obool)), _u6347), _u6348) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6346, tc_HOL_Obool)), _u6347), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6346, tc_HOL_Obool)), _u6348))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_transfer__nat__int__numerals_I2_J ( axiom ) converted to clauses:
% 20.36/20.54 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))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_neg__nat ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_neg__nat-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u6349)) | ( hAPP(c_Int_Onat, _u6349) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_not__neg__nat ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_not__neg__nat-1, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u6350)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u6350)) = _u6350) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_div__mult__mult1__if ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_div__mult__mult1__if-1, axiom, ( ~class_Divides_Osemiring__div(_u6351) | ( _u6352 != c_Groups_Ozero__class_Ozero(_u6351)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6351), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6351), _u6352), _u6353)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6351), _u6352), _u6354)) = c_Groups_Ozero__class_Ozero(_u6351)) )).
% 20.36/20.54 cnf(fact_div__mult__mult1__if-2, axiom, ( ~class_Divides_Osemiring__div(_u6351) | ( _u6352 = c_Groups_Ozero__class_Ozero(_u6351)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6351), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6351), _u6352), _u6353)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6351), _u6352), _u6354)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6351), _u6353), _u6354)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_div__mult__self2__is__id ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_div__mult__self2__is__id-1, axiom, ( ~class_Divides_Osemiring__div(_u6355) | ( _u6356 = c_Groups_Ozero__class_Ozero(_u6355)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6355), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6355), _u6357), _u6356)), _u6356) = _u6357) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_div__mult__self1__is__id ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_div__mult__self1__is__id-1, axiom, ( ~class_Divides_Osemiring__div(_u6358) | ( _u6359 = c_Groups_Ozero__class_Ozero(_u6358)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6358), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6358), _u6359), _u6360)), _u6359) = _u6360) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_div__mult__mult2 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_div__mult__mult2-1, axiom, ( ~class_Divides_Osemiring__div(_u6361) | ( _u6362 = c_Groups_Ozero__class_Ozero(_u6361)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6361), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6361), _u6363), _u6362)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6361), _u6364), _u6362)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6361), _u6363), _u6364)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_div__mult__mult1 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_div__mult__mult1-1, axiom, ( ~class_Divides_Osemiring__div(_u6365) | ( _u6366 = c_Groups_Ozero__class_Ozero(_u6365)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6365), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6365), _u6366), _u6367)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6365), _u6366), _u6368)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6365), _u6367), _u6368)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_div__self ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_div__self-1, axiom, ( ~class_Divides_Osemiring__div(_u6369) | ( _u6370 = c_Groups_Ozero__class_Ozero(_u6369)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6369), _u6370), _u6370) = c_Groups_Oone__class_Oone(_u6369)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_mod__div__trivial ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_mod__div__trivial-1, axiom, ( ~class_Divides_Osemiring__div(_u6371) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6371), c_Divides_Odiv__class_Omod(_u6371, _u6372, _u6373)), _u6373) = c_Groups_Ozero__class_Ozero(_u6371)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_nat__le__0 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_nat__le__0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6374), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u6374) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_nat__0__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_nat__0__iff-1, axiom, ( ( hAPP(c_Int_Onat, _u6376) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6376), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.54 cnf(fact_nat__0__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6377), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u6377) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zdiv__mono1__neg ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_zdiv__mono1__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6378), _u6379)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6380), 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), _u6379), _u6380)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6378), _u6380))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zdiv__mono1 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_zdiv__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6381), _u6382)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6383)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6381), _u6383)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6382), _u6383))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_div__neg__neg__trivial ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_div__neg__neg__trivial-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6384), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6385), _u6384)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6384), _u6385) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zdiv__mono2__neg ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_zdiv__mono2__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(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6387)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6387), _u6388)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6386), _u6387)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6386), _u6388))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_div__nonpos__pos__le0 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_div__nonpos__pos__le0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6389), 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)), _u6390)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6389), _u6390)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_neg__imp__zdiv__nonneg__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_neg__imp__zdiv__nonneg__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6391), 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), _u6392), _u6391))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6392), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.54 cnf(fact_neg__imp__zdiv__nonneg__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6391), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6392), 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), _u6392), _u6391))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_div__pos__pos__trivial ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6393)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6393), _u6394)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6393), _u6394) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_div__nonneg__neg__le0 ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6395)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6396), 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), _u6395), _u6396)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zdiv__mono2 ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6397)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6398)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6398), _u6399)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6397), _u6399)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6397), _u6398))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_nonneg1__imp__zdiv__pos__iff ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6400)) | ~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), _u6400), _u6401))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6401), _u6400)) )).
% 20.36/20.54 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)), _u6400)) | ~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), _u6400), _u6401))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6401)) )).
% 20.36/20.54 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)), _u6400)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6401), _u6400)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6401)) | 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), _u6400), _u6401))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_pos__imp__zdiv__pos__iff ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6402)) | ~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), _u6403), _u6402))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6402), _u6403)) )).
% 20.36/20.54 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)), _u6402)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6402), _u6403)) | 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), _u6403), _u6402))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_pos__imp__zdiv__nonneg__iff ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6404)) | ~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), _u6405), _u6404))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6405)) )).
% 20.36/20.54 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)), _u6404)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6405)) | 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), _u6405), _u6404))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zdiv__eq__0__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_zdiv__eq__0__iff-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6408), _u6410) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6410 = 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)), _u6408)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6408), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.54 cnf(fact_zdiv__eq__0__iff-2, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6408), _u6410) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6410 = 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)), _u6408)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6410), _u6408)) )).
% 20.36/20.54 cnf(fact_zdiv__eq__0__iff-3, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6408), _u6410) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6410 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6408), _u6410)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6408), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.54 cnf(fact_zdiv__eq__0__iff-4, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6408), _u6410) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6410 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6408), _u6410)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6410), _u6408)) )).
% 20.36/20.54 cnf(fact_zdiv__eq__0__iff-5, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6409), _u6411) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6411 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.54 cnf(fact_zdiv__eq__0__iff-6, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6409), _u6411) = 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)), _u6409)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6409), _u6411)) )).
% 20.36/20.54 cnf(fact_zdiv__eq__0__iff-7, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6409), _u6411) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6409), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6411), _u6409)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zless__nat__conj ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_zless__nat__conj-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u6414)), hAPP(c_Int_Onat, _u6416))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6416)) )).
% 20.36/20.54 cnf(fact_zless__nat__conj-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u6414)), hAPP(c_Int_Onat, _u6416))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6414), _u6416)) )).
% 20.36/20.54 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)), _u6417)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6415), _u6417)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u6415)), hAPP(c_Int_Onat, _u6417))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_nat__mono__iff ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6418)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u6419)), hAPP(c_Int_Onat, _u6418))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6419), _u6418)) )).
% 20.36/20.54 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)), _u6418)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6419), _u6418)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u6419)), hAPP(c_Int_Onat, _u6418))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_transfer__nat__int__relations_I3_J ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6420)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6421)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u6420)), hAPP(c_Int_Onat, _u6421))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6420), _u6421)) )).
% 20.36/20.54 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)), _u6420)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6421)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6420), _u6421)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u6420)), hAPP(c_Int_Onat, _u6421))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_nat__1 ( axiom ) converted to clauses:
% 20.36/20.54 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))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_int__div__less__self ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6422)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u6423)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6422), _u6423)), _u6422)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zdiv__zmult2__eq ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6424)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6425), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6426), _u6424)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6425), _u6426)), _u6424)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_nat__0__le ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6427)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u6427)) = _u6427) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_int__eq__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_int__eq__iff-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6430) != _u6432) | ( _u6430 = hAPP(c_Int_Onat, _u6432)) )).
% 20.36/20.54 cnf(fact_int__eq__iff-2, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6430) != _u6432) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6432)) )).
% 20.36/20.54 cnf(fact_int__eq__iff-3, axiom, ( ( _u6431 != hAPP(c_Int_Onat, _u6433)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6433)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6431) = _u6433) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_int__nat__eq ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6435)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u6435)) = _u6435) )).
% 20.36/20.54 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)), _u6436)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u6436)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zless__nat__eq__int__zless ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_zless__nat__eq__int__zless-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6439), hAPP(c_Int_Onat, _u6441))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6439)), _u6441)) )).
% 20.36/20.54 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), _u6440)), _u6442)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6440), hAPP(c_Int_Onat, _u6442))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_disjoint__eq__subset__Compl ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_disjoint__eq__subset__Compl-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6446, tc_HOL_Obool)), _u6448), _u6450) != c_Orderings_Obot__class_Obot(tc_fun(_u6446, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6446, tc_HOL_Obool)), _u6448), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6446, tc_HOL_Obool)), _u6450))) )).
% 20.36/20.54 cnf(fact_disjoint__eq__subset__Compl-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6447, tc_HOL_Obool)), _u6449), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6447, tc_HOL_Obool)), _u6451))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6447, tc_HOL_Obool)), _u6449), _u6451) = c_Orderings_Obot__class_Obot(tc_fun(_u6447, tc_HOL_Obool))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_nat__mod__distrib ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6452)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6453)) | ( hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6452, _u6453)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u6452), hAPP(c_Int_Onat, _u6453))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Divides_Otransfer__nat__int__functions_I2_J ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6454)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6455)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u6454), hAPP(c_Int_Onat, _u6455)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6454, _u6455))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_nat__zminus__int ( axiom ) converted to clauses:
% 20.36/20.54 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), _u6456))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zdiv__zmod__equality2 ( axiom ) converted to clauses:
% 20.36/20.54 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), _u6457), _u6458)), _u6458)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6457, _u6458))), _u6459) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6457), _u6459)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zdiv__zmod__equality ( axiom ) converted to clauses:
% 20.36/20.54 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), _u6460), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6461), _u6460))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6461, _u6460))), _u6462) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6461), _u6462)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zdiv__zmult1__eq ( axiom ) converted to clauses:
% 20.36/20.54 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), _u6463), _u6464)), _u6465) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6463), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6464), _u6465))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6463), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6464, _u6465))), _u6465))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zmod__zdiv__equality ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_zmod__zdiv__equality-1, axiom, ( ( _u6466 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6467), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6466), _u6467))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6466, _u6467))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zdiv__minus1__right ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_zdiv__minus1__right-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6468), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6468)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zmod__zdiv__equality_H ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_zmod__zdiv__equality_H-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6469, _u6470) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6469), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6469), _u6470)), _u6470))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zmult__div__cancel ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_zmult__div__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6471), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6472), _u6471)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6472), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6472, _u6471))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_nat__abs__mult__distrib ( axiom ) converted to clauses:
% 20.36/20.54 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), _u6473), _u6474))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6473))), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6474)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_div__mult__self1 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_div__mult__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u6475) | ( _u6476 = c_Groups_Ozero__class_Ozero(_u6475)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6475), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6475), _u6477), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6475), _u6478), _u6476))), _u6476) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6475), _u6478), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6475), _u6477), _u6476))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_div__mult__self2 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_div__mult__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u6479) | ( _u6480 = c_Groups_Ozero__class_Ozero(_u6479)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6479), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6479), _u6481), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6479), _u6480), _u6482))), _u6480) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6479), _u6482), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6479), _u6481), _u6480))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_div__add__self2 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_div__add__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u6483) | ( _u6484 = c_Groups_Ozero__class_Ozero(_u6483)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6483), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6483), _u6485), _u6484)), _u6484) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6483), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6483), _u6485), _u6484)), c_Groups_Oone__class_Oone(_u6483))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_div__add__self1 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_div__add__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u6486) | ( _u6487 = c_Groups_Ozero__class_Ozero(_u6486)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6486), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6486), _u6487), _u6488)), _u6487) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6486), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6486), _u6488), _u6487)), c_Groups_Oone__class_Oone(_u6486))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_div__mod__equality ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_div__mod__equality-1, axiom, ( ~class_Divides_Osemiring__div(_u6489) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6489), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6489), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6489), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6489), _u6490), _u6491)), _u6491)), c_Divides_Odiv__class_Omod(_u6489, _u6490, _u6491))), _u6492) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6489), _u6490), _u6492)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_div__mod__equality2 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_div__mod__equality2-1, axiom, ( ~class_Divides_Osemiring__div(_u6493) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6493), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6493), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6493), _u6494), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6493), _u6495), _u6494))), c_Divides_Odiv__class_Omod(_u6493, _u6495, _u6494))), _u6496) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6493), _u6495), _u6496)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_mod__div__equality ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_mod__div__equality-1, axiom, ( ~class_Divides_Osemiring__div(_u6497) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6497), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6497), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6497), _u6498), _u6499)), _u6499)), c_Divides_Odiv__class_Omod(_u6497, _u6498, _u6499)) = _u6498) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_mod__div__equality2 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_mod__div__equality2-1, axiom, ( ~class_Divides_Osemiring__div(_u6500) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6500), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6500), _u6501), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6500), _u6502), _u6501))), c_Divides_Odiv__class_Omod(_u6500, _u6502, _u6501)) = _u6502) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_semiring__div__class_Omod__div__equality_H ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_semiring__div__class_Omod__div__equality_H-1, axiom, ( ~class_Divides_Osemiring__div(_u6503) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6503), c_Divides_Odiv__class_Omod(_u6503, _u6504, _u6505)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6503), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6503), _u6504), _u6505)), _u6505)) = _u6504) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_iszero__Numeral0 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_iszero__Numeral0-1, axiom, ( ~class_Int_Onumber__ring(_u6506) | c_Int_Oiszero(_u6506, hAPP(c_Int_Onumber__class_Onumber__of(_u6506), c_Int_OPls)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_iszero__number__of__Bit1 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_iszero__number__of__Bit1-1, axiom, ( ~class_Int_Onumber__ring(_u6507) | ~class_Int_Oring__char__0(_u6507) | ~c_Int_Oiszero(_u6507, hAPP(c_Int_Onumber__class_Onumber__of(_u6507), c_Int_OBit1(_u6508))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_iszero__number__of__Bit0 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_iszero__number__of__Bit0-1, axiom, ( ~class_Int_Onumber__ring(_u6509) | ~class_Int_Oring__char__0(_u6509) | ~c_Int_Oiszero(_u6509, hAPP(c_Int_Onumber__class_Onumber__of(_u6509), c_Int_OBit0(_u6510))) | c_Int_Oiszero(_u6509, hAPP(c_Int_Onumber__class_Onumber__of(_u6509), _u6510)) )).
% 20.36/20.54 cnf(fact_iszero__number__of__Bit0-2, axiom, ( ~class_Int_Onumber__ring(_u6509) | ~class_Int_Oring__char__0(_u6509) | ~c_Int_Oiszero(_u6509, hAPP(c_Int_Onumber__class_Onumber__of(_u6509), _u6510)) | c_Int_Oiszero(_u6509, hAPP(c_Int_Onumber__class_Onumber__of(_u6509), c_Int_OBit0(_u6510))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_nonzero__number__of__Min ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_nonzero__number__of__Min-1, axiom, ( ~class_Int_Onumber__ring(_u6511) | ~c_Int_Oiszero(_u6511, hAPP(c_Int_Onumber__class_Onumber__of(_u6511), c_Int_OMin)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zero__less__nat__eq ( axiom ) converted to clauses:
% 20.36/20.54 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, _u6513))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6513)) )).
% 20.36/20.54 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)), _u6514)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onat, _u6514))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_nat__less__eq__zless ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6515)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u6515)), hAPP(c_Int_Onat, _u6516))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6515), _u6516)) )).
% 20.36/20.54 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)), _u6515)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6515), _u6516)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u6515)), hAPP(c_Int_Onat, _u6516))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_transfer__nat__int__relations_I2_J ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6517)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6518)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u6517)), hAPP(c_Int_Onat, _u6518))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6517), _u6518)) )).
% 20.36/20.54 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)), _u6517)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6518)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6517), _u6518)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u6517)), hAPP(c_Int_Onat, _u6518))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_nat__eq__iff2 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_nat__eq__iff2-1, axiom, ( ( _u6521 != hAPP(c_Int_Onat, _u6523)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6523)) | ( _u6523 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6521)) )).
% 20.36/20.54 cnf(fact_nat__eq__iff2-2, axiom, ( ( _u6521 != hAPP(c_Int_Onat, _u6523)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6523)) | ( _u6521 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.54 cnf(fact_nat__eq__iff2-3, axiom, ( ( _u6522 = hAPP(c_Int_Onat, _u6524)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6524)) | ( _u6522 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.54 cnf(fact_nat__eq__iff2-4, axiom, ( ( _u6522 = hAPP(c_Int_Onat, _u6524)) | ( _u6524 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6522)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6524)) )).
% 20.36/20.54 cnf(fact_nat__eq__iff2-5, axiom, ( ( _u6522 = hAPP(c_Int_Onat, _u6524)) | ( _u6524 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6522)) | ( _u6522 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_nat__eq__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_nat__eq__iff-1, axiom, ( ( hAPP(c_Int_Onat, _u6527) != _u6529) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6527)) | ( _u6527 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6529)) )).
% 20.36/20.54 cnf(fact_nat__eq__iff-2, axiom, ( ( hAPP(c_Int_Onat, _u6527) != _u6529) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6527)) | ( _u6529 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.54 cnf(fact_nat__eq__iff-3, axiom, ( ( hAPP(c_Int_Onat, _u6528) = _u6530) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6528)) | ( _u6530 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.54 cnf(fact_nat__eq__iff-4, axiom, ( ( hAPP(c_Int_Onat, _u6528) = _u6530) | ( _u6528 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6530)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6528)) )).
% 20.36/20.54 cnf(fact_nat__eq__iff-5, axiom, ( ( hAPP(c_Int_Onat, _u6528) = _u6530) | ( _u6528 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6530)) | ( _u6530 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_nat__le__eq__zle ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6531)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u6531)), hAPP(c_Int_Onat, _u6532))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6531), _u6532)) )).
% 20.36/20.54 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)), _u6531)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6531), _u6532)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u6531)), hAPP(c_Int_Onat, _u6532))) )).
% 20.36/20.54 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)), _u6532)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u6531)), hAPP(c_Int_Onat, _u6532))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6531), _u6532)) )).
% 20.36/20.54 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)), _u6532)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6531), _u6532)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u6531)), hAPP(c_Int_Onat, _u6532))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_split__nat ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_split__nat-1, axiom, ( ~hBOOL(hAPP(_u6537, hAPP(c_Int_Onat, _u6539))) | ( _u6539 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6533)) | hBOOL(hAPP(_u6537, _u6533)) )).
% 20.36/20.54 cnf(fact_split__nat-2, axiom, ( ~hBOOL(hAPP(_u6537, hAPP(c_Int_Onat, _u6539))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6539), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(_u6537, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.54 cnf(fact_split__nat-3, axiom, ( hBOOL(hAPP(_u6538, hAPP(c_Int_Onat, _u6540))) | ( _u6540 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem137(_u6540, _u6538))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6540), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.54 cnf(fact_split__nat-4, axiom, ( hBOOL(hAPP(_u6538, hAPP(c_Int_Onat, _u6540))) | ( _u6540 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem137(_u6540, _u6538))) | ~hBOOL(hAPP(_u6538, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.54 cnf(fact_split__nat-5, axiom, ( hBOOL(hAPP(_u6538, hAPP(c_Int_Onat, _u6540))) | ~hBOOL(hAPP(_u6538, skolem137(_u6540, _u6538))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6540), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.54 cnf(fact_split__nat-6, axiom, ( hBOOL(hAPP(_u6538, hAPP(c_Int_Onat, _u6540))) | ~hBOOL(hAPP(_u6538, skolem137(_u6540, _u6538))) | ~hBOOL(hAPP(_u6538, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_nat__add__distrib ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6541)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6542)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6541), _u6542)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u6541)), hAPP(c_Int_Onat, _u6542))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6543)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6544)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u6543)), hAPP(c_Int_Onat, _u6544)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6543), _u6544))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_int__eq__iff__number__of ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_int__eq__iff__number__of-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6547) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6549)) | ( _u6547 = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6549))) )).
% 20.36/20.54 cnf(fact_int__eq__iff__number__of-2, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6547) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6549)) | 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), _u6549))) )).
% 20.36/20.54 cnf(fact_int__eq__iff__number__of-3, axiom, ( ( _u6548 != hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6550))) | ~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), _u6550))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6548) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6550)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_nat__mult__distrib ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6551)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6551), _u6552)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u6551)), hAPP(c_Int_Onat, _u6552))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6554)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u6553)), hAPP(c_Int_Onat, _u6554)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6553), _u6554))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_div__eq__minus1 ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6555)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)), _u6555) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_nat__diff__distrib ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6556)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6556), _u6557)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6557), _u6556)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u6557)), hAPP(c_Int_Onat, _u6556))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_transfer__nat__int__numerals_I4_J ( axiom ) converted to clauses:
% 20.36/20.54 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))))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6558)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6559)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u6558)), hAPP(c_Int_Onat, _u6559)) = hAPP(c_Int_Onat, c_Nat__Transfer_Otsub(_u6558, _u6559))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_one__less__nat__eq ( axiom ) converted to clauses:
% 20.36/20.54 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, _u6561))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u6561)) )).
% 20.36/20.54 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)), _u6562)) | 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, _u6562))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_split__zdiv ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_split__zdiv-1, axiom, ( ~hBOOL(hAPP(_u6574, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6576), _u6578))) | ( _u6578 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u6574, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.54 cnf(fact_split__zdiv-2, axiom, ( ~hBOOL(hAPP(_u6574, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6576), _u6578))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6578)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6563)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6563), _u6578)) | ( _u6576 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6578), _u6564)), _u6563)) | hBOOL(hAPP(_u6574, _u6564)) )).
% 20.36/20.54 cnf(fact_split__zdiv-3, axiom, ( ~hBOOL(hAPP(_u6574, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6576), _u6578))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6578), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6578), _u6565)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6565), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6576 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6578), _u6566)), _u6565)) | hBOOL(hAPP(_u6574, _u6566)) )).
% 20.36/20.54 cnf(fact_split__zdiv-4, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6579), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6579 = 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)), _u6579)) )).
% 20.36/20.54 cnf(fact_split__zdiv-5, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6579), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6579 = 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)), skolem139(_u6579, _u6577, _u6575))) )).
% 20.36/20.54 cnf(fact_split__zdiv-6, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6579), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6579 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem139(_u6579, _u6577, _u6575)), _u6579)) )).
% 20.36/20.54 cnf(fact_split__zdiv-7, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6579), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6579 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6577 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6579), skolem138(_u6579, _u6577, _u6575))), skolem139(_u6579, _u6577, _u6575))) )).
% 20.36/20.54 cnf(fact_split__zdiv-8, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6579), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6579 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6575, skolem138(_u6579, _u6577, _u6575))) )).
% 20.36/20.54 cnf(fact_split__zdiv-9, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6579), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6575, 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)), _u6579)) )).
% 20.36/20.54 cnf(fact_split__zdiv-10, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6579), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6575, 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)), skolem139(_u6579, _u6577, _u6575))) )).
% 20.36/20.54 cnf(fact_split__zdiv-11, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6579), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6575, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem139(_u6579, _u6577, _u6575)), _u6579)) )).
% 20.36/20.54 cnf(fact_split__zdiv-12, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6579), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6575, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6577 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6579), skolem138(_u6579, _u6577, _u6575))), skolem139(_u6579, _u6577, _u6575))) )).
% 20.36/20.54 cnf(fact_split__zdiv-13, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6579), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6575, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6575, skolem138(_u6579, _u6577, _u6575))) )).
% 20.36/20.54 cnf(fact_split__zdiv-14, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6579), skolem141(_u6579, _u6577, _u6575))) | ( _u6579 = 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)), _u6579)) )).
% 20.36/20.54 cnf(fact_split__zdiv-15, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6579), skolem141(_u6579, _u6577, _u6575))) | ( _u6579 = 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)), skolem139(_u6579, _u6577, _u6575))) )).
% 20.36/20.54 cnf(fact_split__zdiv-16, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6579), skolem141(_u6579, _u6577, _u6575))) | ( _u6579 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem139(_u6579, _u6577, _u6575)), _u6579)) )).
% 20.36/20.54 cnf(fact_split__zdiv-17, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6579), skolem141(_u6579, _u6577, _u6575))) | ( _u6579 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6577 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6579), skolem138(_u6579, _u6577, _u6575))), skolem139(_u6579, _u6577, _u6575))) )).
% 20.36/20.54 cnf(fact_split__zdiv-18, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6579), skolem141(_u6579, _u6577, _u6575))) | ( _u6579 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6575, skolem138(_u6579, _u6577, _u6575))) )).
% 20.36/20.54 cnf(fact_split__zdiv-19, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem141(_u6579, _u6577, _u6575)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6579 = 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)), _u6579)) )).
% 20.36/20.54 cnf(fact_split__zdiv-20, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem141(_u6579, _u6577, _u6575)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6579 = 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)), skolem139(_u6579, _u6577, _u6575))) )).
% 20.36/20.54 cnf(fact_split__zdiv-21, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem141(_u6579, _u6577, _u6575)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6579 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem139(_u6579, _u6577, _u6575)), _u6579)) )).
% 20.36/20.54 cnf(fact_split__zdiv-22, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem141(_u6579, _u6577, _u6575)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6579 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6577 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6579), skolem138(_u6579, _u6577, _u6575))), skolem139(_u6579, _u6577, _u6575))) )).
% 20.36/20.54 cnf(fact_split__zdiv-23, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem141(_u6579, _u6577, _u6575)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6579 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6575, skolem138(_u6579, _u6577, _u6575))) )).
% 20.36/20.54 cnf(fact_split__zdiv-24, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | ( _u6577 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6579), skolem140(_u6579, _u6577, _u6575))), skolem141(_u6579, _u6577, _u6575))) | ( _u6579 = 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)), _u6579)) )).
% 20.36/20.54 cnf(fact_split__zdiv-25, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | ( _u6577 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6579), skolem140(_u6579, _u6577, _u6575))), skolem141(_u6579, _u6577, _u6575))) | ( _u6579 = 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)), skolem139(_u6579, _u6577, _u6575))) )).
% 20.36/20.54 cnf(fact_split__zdiv-26, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | ( _u6577 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6579), skolem140(_u6579, _u6577, _u6575))), skolem141(_u6579, _u6577, _u6575))) | ( _u6579 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem139(_u6579, _u6577, _u6575)), _u6579)) )).
% 20.36/20.54 cnf(fact_split__zdiv-27, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | ( _u6577 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6579), skolem140(_u6579, _u6577, _u6575))), skolem141(_u6579, _u6577, _u6575))) | ( _u6579 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6577 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6579), skolem138(_u6579, _u6577, _u6575))), skolem139(_u6579, _u6577, _u6575))) )).
% 20.36/20.54 cnf(fact_split__zdiv-28, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | ( _u6577 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6579), skolem140(_u6579, _u6577, _u6575))), skolem141(_u6579, _u6577, _u6575))) | ( _u6579 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6575, skolem138(_u6579, _u6577, _u6575))) )).
% 20.36/20.54 cnf(fact_split__zdiv-29, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | ~hBOOL(hAPP(_u6575, skolem140(_u6579, _u6577, _u6575))) | ( _u6579 = 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)), _u6579)) )).
% 20.36/20.54 cnf(fact_split__zdiv-30, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | ~hBOOL(hAPP(_u6575, skolem140(_u6579, _u6577, _u6575))) | ( _u6579 = 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)), skolem139(_u6579, _u6577, _u6575))) )).
% 20.36/20.54 cnf(fact_split__zdiv-31, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | ~hBOOL(hAPP(_u6575, skolem140(_u6579, _u6577, _u6575))) | ( _u6579 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem139(_u6579, _u6577, _u6575)), _u6579)) )).
% 20.36/20.54 cnf(fact_split__zdiv-32, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | ~hBOOL(hAPP(_u6575, skolem140(_u6579, _u6577, _u6575))) | ( _u6579 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6577 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6579), skolem138(_u6579, _u6577, _u6575))), skolem139(_u6579, _u6577, _u6575))) )).
% 20.36/20.54 cnf(fact_split__zdiv-33, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | ~hBOOL(hAPP(_u6575, skolem140(_u6579, _u6577, _u6575))) | ( _u6579 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6575, skolem138(_u6579, _u6577, _u6575))) )).
% 20.36/20.54 cnf(fact_split__zdiv-34, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6579), skolem141(_u6579, _u6577, _u6575))) | ~hBOOL(hAPP(_u6575, 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)), _u6579)) )).
% 20.36/20.54 cnf(fact_split__zdiv-35, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6579), skolem141(_u6579, _u6577, _u6575))) | ~hBOOL(hAPP(_u6575, 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)), skolem139(_u6579, _u6577, _u6575))) )).
% 20.36/20.54 cnf(fact_split__zdiv-36, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6579), skolem141(_u6579, _u6577, _u6575))) | ~hBOOL(hAPP(_u6575, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem139(_u6579, _u6577, _u6575)), _u6579)) )).
% 20.36/20.54 cnf(fact_split__zdiv-37, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6579), skolem141(_u6579, _u6577, _u6575))) | ~hBOOL(hAPP(_u6575, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6577 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6579), skolem138(_u6579, _u6577, _u6575))), skolem139(_u6579, _u6577, _u6575))) )).
% 20.36/20.54 cnf(fact_split__zdiv-38, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6579), skolem141(_u6579, _u6577, _u6575))) | ~hBOOL(hAPP(_u6575, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6575, skolem138(_u6579, _u6577, _u6575))) )).
% 20.36/20.54 cnf(fact_split__zdiv-39, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem141(_u6579, _u6577, _u6575)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6575, 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)), _u6579)) )).
% 20.36/20.54 cnf(fact_split__zdiv-40, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem141(_u6579, _u6577, _u6575)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6575, 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)), skolem139(_u6579, _u6577, _u6575))) )).
% 20.36/20.54 cnf(fact_split__zdiv-41, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem141(_u6579, _u6577, _u6575)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6575, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem139(_u6579, _u6577, _u6575)), _u6579)) )).
% 20.36/20.54 cnf(fact_split__zdiv-42, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem141(_u6579, _u6577, _u6575)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6575, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6577 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6579), skolem138(_u6579, _u6577, _u6575))), skolem139(_u6579, _u6577, _u6575))) )).
% 20.36/20.54 cnf(fact_split__zdiv-43, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem141(_u6579, _u6577, _u6575)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6575, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6575, skolem138(_u6579, _u6577, _u6575))) )).
% 20.36/20.54 cnf(fact_split__zdiv-44, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | ( _u6577 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6579), skolem140(_u6579, _u6577, _u6575))), skolem141(_u6579, _u6577, _u6575))) | ~hBOOL(hAPP(_u6575, 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)), _u6579)) )).
% 20.36/20.54 cnf(fact_split__zdiv-45, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | ( _u6577 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6579), skolem140(_u6579, _u6577, _u6575))), skolem141(_u6579, _u6577, _u6575))) | ~hBOOL(hAPP(_u6575, 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)), skolem139(_u6579, _u6577, _u6575))) )).
% 20.36/20.54 cnf(fact_split__zdiv-46, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | ( _u6577 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6579), skolem140(_u6579, _u6577, _u6575))), skolem141(_u6579, _u6577, _u6575))) | ~hBOOL(hAPP(_u6575, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem139(_u6579, _u6577, _u6575)), _u6579)) )).
% 20.36/20.54 cnf(fact_split__zdiv-47, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | ( _u6577 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6579), skolem140(_u6579, _u6577, _u6575))), skolem141(_u6579, _u6577, _u6575))) | ~hBOOL(hAPP(_u6575, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6577 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6579), skolem138(_u6579, _u6577, _u6575))), skolem139(_u6579, _u6577, _u6575))) )).
% 20.36/20.54 cnf(fact_split__zdiv-48, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | ( _u6577 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6579), skolem140(_u6579, _u6577, _u6575))), skolem141(_u6579, _u6577, _u6575))) | ~hBOOL(hAPP(_u6575, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6575, skolem138(_u6579, _u6577, _u6575))) )).
% 20.36/20.54 cnf(fact_split__zdiv-49, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | ~hBOOL(hAPP(_u6575, skolem140(_u6579, _u6577, _u6575))) | ~hBOOL(hAPP(_u6575, 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)), _u6579)) )).
% 20.36/20.54 cnf(fact_split__zdiv-50, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | ~hBOOL(hAPP(_u6575, skolem140(_u6579, _u6577, _u6575))) | ~hBOOL(hAPP(_u6575, 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)), skolem139(_u6579, _u6577, _u6575))) )).
% 20.36/20.54 cnf(fact_split__zdiv-51, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | ~hBOOL(hAPP(_u6575, skolem140(_u6579, _u6577, _u6575))) | ~hBOOL(hAPP(_u6575, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem139(_u6579, _u6577, _u6575)), _u6579)) )).
% 20.36/20.54 cnf(fact_split__zdiv-52, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | ~hBOOL(hAPP(_u6575, skolem140(_u6579, _u6577, _u6575))) | ~hBOOL(hAPP(_u6575, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6577 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6579), skolem138(_u6579, _u6577, _u6575))), skolem139(_u6579, _u6577, _u6575))) )).
% 20.36/20.54 cnf(fact_split__zdiv-53, axiom, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | ~hBOOL(hAPP(_u6575, skolem140(_u6579, _u6577, _u6575))) | ~hBOOL(hAPP(_u6575, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6575, skolem138(_u6579, _u6577, _u6575))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_divmod__int__rel__div__eq ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_divmod__int__rel__div__eq-1, axiom, ( ( _u6580 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6581), _u6582)), _u6583)) | ( _u6581 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6580), _u6581) = _u6582) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6581)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6581), _u6583)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6583), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.54 cnf(fact_divmod__int__rel__div__eq-2, axiom, ( ( _u6580 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6581), _u6582)), _u6583)) | ( _u6581 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6580), _u6581) = _u6582) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6583)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6583), _u6581)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6581)) )).
% 20.36/20.54 cnf(fact_divmod__int__rel__div__eq-3, axiom, ( ( _u6580 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6581), _u6582)), _u6583)) | ( _u6581 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6580), _u6581) = _u6582) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6583)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6583), _u6581)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6581), _u6583)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6583), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_nat__less__iff ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6584)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u6584)), _u6585)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6584), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6585))) )).
% 20.36/20.54 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)), _u6584)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6584), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6585))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u6584)), _u6585)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Suc__nat__eq__nat__zadd1 ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6586)) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onat, _u6586)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u6586))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zmod__zmult2__eq ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6587)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6588, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6589), _u6587)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6589), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6588), _u6589), _u6587))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6588, _u6589))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_transfer__nat__int__numerals_I3_J ( axiom ) converted to clauses:
% 20.36/20.54 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))))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_nat__mult__distrib__neg ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_nat__mult__distrib__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6590), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6590), _u6591)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6590))), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6591)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zdiv__zminus2__eq__if ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_zdiv__zminus2__eq__if-1, axiom, ( ( _u6592 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6593, _u6592) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6593), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6592)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6593), _u6592))) )).
% 20.36/20.54 cnf(fact_zdiv__zminus2__eq__if-2, axiom, ( ( _u6592 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6593, _u6592) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6593), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6592)) = 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), _u6593), _u6592))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zdiv__zminus1__eq__if ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_zdiv__zminus1__eq__if-1, axiom, ( ( _u6594 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6595, _u6594) != 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), _u6595)), _u6594) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6595), _u6594))) )).
% 20.36/20.54 cnf(fact_zdiv__zminus1__eq__if-2, axiom, ( ( _u6594 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6595, _u6594) = 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), _u6595)), _u6594) = 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), _u6595), _u6594))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_mod__nat__number__of ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_mod__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6598))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6598), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6600)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.54 cnf(fact_mod__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6599))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6601))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6599), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6601)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6599)) )).
% 20.36/20.54 cnf(fact_mod__nat__number__of-3, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6599))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6601))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6599), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6601)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6599), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6601)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_not__iszero__Numeral1 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_not__iszero__Numeral1-1, axiom, ( ~class_Int_Onumber__ring(_u6602) | ~c_Int_Oiszero(_u6602, hAPP(c_Int_Onumber__class_Onumber__of(_u6602), c_Int_OBit1(c_Int_OPls))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_eq__number__of__eq ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_eq__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u6603) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u6603), _u6604) != hAPP(c_Int_Onumber__class_Onumber__of(_u6603), _u6605)) | c_Int_Oiszero(_u6603, hAPP(c_Int_Onumber__class_Onumber__of(_u6603), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6604), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6605)))) )).
% 20.36/20.54 cnf(fact_eq__number__of__eq-2, axiom, ( ~class_Int_Onumber__ring(_u6603) | ~c_Int_Oiszero(_u6603, hAPP(c_Int_Onumber__class_Onumber__of(_u6603), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6604), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6605)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u6603), _u6604) = hAPP(c_Int_Onumber__class_Onumber__of(_u6603), _u6605)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_nat__2 ( axiom ) converted to clauses:
% 20.36/20.54 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)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_div__pos__neg__trivial ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6606)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6606), _u6607)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6606), _u6607) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_split__pos__lemma ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6612)) | ~hBOOL(hAPP(hAPP(_u6613, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6614), _u6612)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6614, _u6612))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6608)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6608), _u6612)) | ( _u6614 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6612), _u6609)), _u6608)) | hBOOL(hAPP(hAPP(_u6613, _u6609), _u6608)) )).
% 20.36/20.54 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)), _u6612)) | hBOOL(hAPP(hAPP(_u6613, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6614), _u6612)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6614, _u6612))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem143(_u6614, _u6613, _u6612))) )).
% 20.36/20.54 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)), _u6612)) | hBOOL(hAPP(hAPP(_u6613, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6614), _u6612)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6614, _u6612))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem143(_u6614, _u6613, _u6612)), _u6612)) )).
% 20.36/20.54 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)), _u6612)) | hBOOL(hAPP(hAPP(_u6613, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6614), _u6612)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6614, _u6612))) | ( _u6614 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6612), skolem142(_u6614, _u6613, _u6612))), skolem143(_u6614, _u6613, _u6612))) )).
% 20.36/20.54 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)), _u6612)) | hBOOL(hAPP(hAPP(_u6613, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6614), _u6612)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6614, _u6612))) | ~hBOOL(hAPP(hAPP(_u6613, skolem142(_u6614, _u6613, _u6612)), skolem143(_u6614, _u6613, _u6612))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_split__neg__lemma ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_split__neg__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6619), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(_u6620, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6621), _u6619)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6621, _u6619))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6619), _u6615)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6615), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6621 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6619), _u6616)), _u6615)) | hBOOL(hAPP(hAPP(_u6620, _u6616), _u6615)) )).
% 20.36/20.54 cnf(fact_split__neg__lemma-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6619), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u6620, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6621), _u6619)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6621, _u6619))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6619), skolem145(_u6621, _u6620, _u6619))) )).
% 20.36/20.54 cnf(fact_split__neg__lemma-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6619), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u6620, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6621), _u6619)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6621, _u6619))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem145(_u6621, _u6620, _u6619)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.54 cnf(fact_split__neg__lemma-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6619), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u6620, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6621), _u6619)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6621, _u6619))) | ( _u6621 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6619), skolem144(_u6621, _u6620, _u6619))), skolem145(_u6621, _u6620, _u6619))) )).
% 20.36/20.54 cnf(fact_split__neg__lemma-5, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6619), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u6620, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6621), _u6619)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6621, _u6619))) | ~hBOOL(hAPP(hAPP(_u6620, skolem144(_u6621, _u6620, _u6619)), skolem145(_u6621, _u6620, _u6619))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zdiv__number__of__Bit1 ( axiom ) converted to clauses:
% 20.36/20.54 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), _u6624))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u6626))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u6624))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6626)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6624))) )).
% 20.36/20.54 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), _u6625))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u6627))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u6625))) = 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), _u6627)), c_Groups_Oone__class_Oone(tc_Int_Oint))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6625))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_one__mod__nat__number__of ( axiom ) converted to clauses:
% 20.36/20.54 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), _u6629))) | ( 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), _u6629)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.54 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), _u6630))) | ( 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), _u6630)) = 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), _u6630)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_eq__special_I3_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_eq__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u6631) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u6631), _u6632) != c_Groups_Ozero__class_Ozero(_u6631)) | c_Int_Oiszero(_u6631, hAPP(c_Int_Onumber__class_Onumber__of(_u6631), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6632), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) )).
% 20.36/20.54 cnf(fact_eq__special_I3_J-2, axiom, ( ~class_Int_Onumber__ring(_u6631) | ~c_Int_Oiszero(_u6631, hAPP(c_Int_Onumber__class_Onumber__of(_u6631), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6632), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u6631), _u6632) = c_Groups_Ozero__class_Ozero(_u6631)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_eq__special_I1_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_eq__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u6633) | ( c_Groups_Ozero__class_Ozero(_u6633) != hAPP(c_Int_Onumber__class_Onumber__of(_u6633), _u6634)) | c_Int_Oiszero(_u6633, hAPP(c_Int_Onumber__class_Onumber__of(_u6633), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6634)))) )).
% 20.36/20.54 cnf(fact_eq__special_I1_J-2, axiom, ( ~class_Int_Onumber__ring(_u6633) | ~c_Int_Oiszero(_u6633, hAPP(c_Int_Onumber__class_Onumber__of(_u6633), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6634)))) | ( c_Groups_Ozero__class_Ozero(_u6633) = hAPP(c_Int_Onumber__class_Onumber__of(_u6633), _u6634)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_z3div__def ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6637)) | ( c_SMT_Oz3div(_u6639, _u6637) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6639), _u6637)) )).
% 20.36/20.54 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)), _u6638)) | ( c_SMT_Oz3div(_u6640, _u6638) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6640), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6638)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_nat__aux__def ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_nat__aux__def-1, axiom, ( ( c_Int_Onat__aux(_u6641, _u6642) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u6641)), _u6642)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_nat__of__aux__code ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_nat__of__aux__code-1, axiom, ( ( _u6645 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u6645, _u6647) = _u6647) )).
% 20.36/20.54 cnf(fact_nat__of__aux__code-2, axiom, ( ( _u6646 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u6646, _u6648) = c_Code__Numeral_Onat__of__aux(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u6646), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), hAPP(c_Nat_OSuc, _u6648))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_transfer__morphism__nat__int ( axiom ) converted to clauses:
% 20.36/20.54 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))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__m1__odd ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__m1__odd-1, axiom, ( ~class_Int_Onumber__ring(_u6649) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6649), hAPP(c_Int_Onumber__class_Onumber__of(_u6649), 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)))), _u6650))) = hAPP(c_Int_Onumber__class_Onumber__of(_u6649), c_Int_OMin)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_double__complement ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_double__complement-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6651, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6651, tc_HOL_Obool)), _u6652)) = _u6652) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Compl__eq__Compl__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_Compl__eq__Compl__iff-1, axiom, ( ( _u6658 = _u6660) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6656, tc_HOL_Obool)), _u6658) != hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6656, tc_HOL_Obool)), _u6660)) )).
% 20.36/20.54 cnf(fact_Compl__eq__Compl__iff-2, axiom, ( ( _u6659 != _u6661) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6657, tc_HOL_Obool)), _u6659) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6657, tc_HOL_Obool)), _u6661)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6662) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6662), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6662), _u6663), _u6664)), _u6665) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6662), hAPP(hAPP(c_Power_Opower__class_Opower(_u6662), _u6663), _u6665)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6662), _u6664), _u6665))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_div__le__mono ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_div__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6666), _u6667)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6666), _u6668)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6667), _u6668))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_div__le__dividend ( axiom ) converted to clauses:
% 20.36/20.54 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), _u6669), _u6670)), _u6669)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_int__power ( axiom ) converted to clauses:
% 20.36/20.54 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), _u6671), _u6672)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6671)), _u6672)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zpower__int ( axiom ) converted to clauses:
% 20.36/20.54 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), _u6673)), _u6674) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6673), _u6674))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J ( axiom ) converted to clauses:
% 20.36/20.54 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), _u6675)), _u6676) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6675), _u6676))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_div__mult2__eq ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_div__mult2__eq-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6677), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6678), _u6679)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6677), _u6678)), _u6679)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6680) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6680), hAPP(hAPP(c_Power_Opower__class_Opower(_u6680), _u6681), _u6682)), _u6683) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6680), _u6681), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6682), _u6683))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zpower__zpower ( axiom ) converted to clauses:
% 20.36/20.54 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), _u6684), _u6685)), _u6686) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6684), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6685), _u6686))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6687) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6687), _u6688), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u6688) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zpower__zmod ( axiom ) converted to clauses:
% 20.36/20.54 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, _u6689, _u6690)), _u6691), _u6690) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6689), _u6691), _u6690)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_nat__power__eq ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6692)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6692), _u6693)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u6692)), _u6693)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6694)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u6694)), _u6695) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6694), _u6695))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_div__1 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_div__1-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6696), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = _u6696) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_div__less ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_div__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6697), _u6698)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6697), _u6698) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_nat__mult__div__cancel__disj ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_nat__mult__div__cancel__disj-1, axiom, ( ( _u6702 != 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), _u6702), _u6704)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6702), _u6706)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.54 cnf(fact_nat__mult__div__cancel__disj-2, axiom, ( ( _u6703 = 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), _u6703), _u6705)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6703), _u6707)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6705), _u6707)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6708) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6708), _u6709), hAPP(c_Nat_OSuc, _u6710)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6708), _u6709), hAPP(hAPP(c_Power_Opower__class_Opower(_u6708), _u6709), _u6710))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6711) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6711), _u6712), hAPP(hAPP(c_Power_Opower__class_Opower(_u6711), _u6712), _u6713)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6711), _u6712), hAPP(c_Nat_OSuc, _u6713))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6714) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6714), hAPP(hAPP(c_Power_Opower__class_Opower(_u6714), _u6715), _u6716)), _u6715) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6714), _u6715), hAPP(c_Nat_OSuc, _u6716))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6717) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6717), _u6718), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u6717)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6719) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6719), hAPP(hAPP(c_Power_Opower__class_Opower(_u6719), _u6720), _u6721)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6719), _u6720), _u6722)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6719), _u6720), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6721), _u6722))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6723)) | 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), _u6723), _u6724))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_div__add1__eq ( axiom ) converted to clauses:
% 20.36/20.54 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), _u6725), _u6726)), _u6727) = 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), _u6725), _u6727)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6726), _u6727))), 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, _u6725, _u6727)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6726, _u6727))), _u6727))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zdiv__int ( axiom ) converted to clauses:
% 20.36/20.54 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), _u6728), _u6729)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6728)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6729))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Divides_Otransfer__int__nat__functions_I1_J ( axiom ) converted to clauses:
% 20.36/20.54 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), _u6730)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6731)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6730), _u6731))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zpower__zadd__distrib ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_zpower__zadd__distrib-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6732), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6733), _u6734)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6732), _u6733)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6732), _u6734))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Ints__power ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_Ints__power-1, axiom, ( ~class_Rings_Oring__1(_u6735) | ~hBOOL(hAPP(hAPP(c_member(_u6735), _u6736), c_Int_Oring__1__class_OInts(_u6735))) | hBOOL(hAPP(hAPP(c_member(_u6735), hAPP(hAPP(c_Power_Opower__class_Opower(_u6735), _u6736), _u6737)), c_Int_Oring__1__class_OInts(_u6735))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__nat__number__of__number__of ( axiom ) converted to clauses:
% 20.36/20.54 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), _u6740))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6740)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6742)) = 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), _u6742))) )).
% 20.36/20.54 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), _u6741))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6741)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6743)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6741)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6743)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__nat__number__of ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6746))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6746)), _u6748) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6748)) )).
% 20.36/20.54 cnf(fact_power__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6747))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6747)), _u6749) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6747)), _u6749))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_div__le__mono2 ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6750)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6750), _u6751)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6752), _u6751)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6752), _u6750))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_nat__mult__div__cancel1 ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6753)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6753), _u6754)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6753), _u6755)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6754), _u6755)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_div__mult__self1__is__m ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6756)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6756), _u6757)), _u6756) = _u6757) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_div__mult__self__is__m ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6758)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6759), _u6758)), _u6758) = _u6759) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_div__less__dividend ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6760)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6761)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6761), _u6760)), _u6761)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_mod__mult2__eq ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_mod__mult2__eq-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6762, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6763), _u6764)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6763), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6762), _u6763), _u6764))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6762, _u6763))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_div__mult1__eq ( axiom ) converted to clauses:
% 20.36/20.54 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), _u6765), _u6766)), _u6767) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6765), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6766), _u6767))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6765), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6766, _u6767))), _u6767))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_div__mod__equality_H ( axiom ) converted to clauses:
% 20.36/20.54 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), _u6768), _u6769)), _u6769) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6768), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6768, _u6769))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_mult__div__cancel ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_mult__div__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6770), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6771), _u6770)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6771), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6771, _u6770))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Divides_Omod__div__equality_H ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_Divides_Omod__div__equality_H-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6772, _u6773) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6772), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6772), _u6773)), _u6773))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zero__le__zpower__abs ( axiom ) converted to clauses:
% 20.36/20.54 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), _u6774)), _u6775))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_div__if ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6776)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6777), _u6776)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6777), _u6776) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.54 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)), _u6776)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6777), _u6776)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6777), _u6776) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6777), _u6776)), _u6776))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_div__geq ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6778)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6779), _u6778)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6779), _u6778) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6779), _u6778)), _u6778))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_split__div ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_split__div-1, axiom, ( ~hBOOL(hAPP(_u6787, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6789), _u6791))) | ( _u6791 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u6787, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.54 cnf(fact_split__div-2, axiom, ( ~hBOOL(hAPP(_u6787, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6789), _u6791))) | ( _u6791 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6780), _u6791)) | ( _u6789 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6791), _u6781)), _u6780)) | hBOOL(hAPP(_u6787, _u6781)) )).
% 20.36/20.54 cnf(fact_split__div-3, axiom, ( hBOOL(hAPP(_u6788, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6790), _u6792))) | ( _u6792 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem147(_u6792, _u6790, _u6788)), _u6792)) )).
% 20.36/20.54 cnf(fact_split__div-4, axiom, ( hBOOL(hAPP(_u6788, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6790), _u6792))) | ( _u6792 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6790 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6792), skolem146(_u6792, _u6790, _u6788))), skolem147(_u6792, _u6790, _u6788))) )).
% 20.36/20.54 cnf(fact_split__div-5, axiom, ( hBOOL(hAPP(_u6788, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6790), _u6792))) | ( _u6792 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u6788, skolem146(_u6792, _u6790, _u6788))) )).
% 20.36/20.54 cnf(fact_split__div-6, axiom, ( hBOOL(hAPP(_u6788, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6790), _u6792))) | ~hBOOL(hAPP(_u6788, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6792 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.54 cnf(fact_split__div-7, axiom, ( hBOOL(hAPP(_u6788, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6790), _u6792))) | ~hBOOL(hAPP(_u6788, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem147(_u6792, _u6790, _u6788)), _u6792)) )).
% 20.36/20.54 cnf(fact_split__div-8, axiom, ( hBOOL(hAPP(_u6788, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6790), _u6792))) | ~hBOOL(hAPP(_u6788, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6790 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6792), skolem146(_u6792, _u6790, _u6788))), skolem147(_u6792, _u6790, _u6788))) )).
% 20.36/20.54 cnf(fact_split__div-9, axiom, ( hBOOL(hAPP(_u6788, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6790), _u6792))) | ~hBOOL(hAPP(_u6788, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u6788, skolem146(_u6792, _u6790, _u6788))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Divides_Otransfer__nat__int__functions_I1_J ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6793)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6794)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u6793)), hAPP(c_Int_Onat, _u6794)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6793), _u6794))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_nat__div__distrib ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6795)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6795), _u6796)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u6795)), hAPP(c_Int_Onat, _u6796))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power3__eq__cube ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power3__eq__cube-1, axiom, ( ~class_Groups_Omonoid__mult(_u6797) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6797), _u6798), 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(_u6797), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6797), _u6798), _u6798)), _u6798)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_abs__power__minus__one ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_abs__power__minus__one-1, axiom, ( ~class_Int_Onumber__ring(_u6799) | ~class_Rings_Olinordered__idom(_u6799) | ( hAPP(c_Groups_Oabs__class_Oabs(_u6799), hAPP(hAPP(c_Power_Opower__class_Opower(_u6799), hAPP(c_Int_Onumber__class_Onumber__of(_u6799), c_Int_OMin)), _u6800)) = c_Groups_Oone__class_Oone(_u6799)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__eq__if ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__eq__if-1, axiom, ( ( _u6803 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6805), _u6803) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 20.36/20.54 cnf(fact_power__eq__if-2, axiom, ( ( _u6804 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6806), _u6804) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6806), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6806), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6804), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zero__less__zpower__abs__iff ( axiom ) converted to clauses:
% 20.36/20.54 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), _u6809)), _u6811))) | ( _u6809 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6811 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.54 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), _u6810)), _u6812))) | ( _u6810 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.54 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), _u6810)), _u6812))) | ( _u6812 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_le__div__geq ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6813)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6813), _u6814)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6814), _u6813) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6814), _u6813)), _u6813))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_split__div__lemma ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6815)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6815), _u6816)), _u6817)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6817), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6815), hAPP(c_Nat_OSuc, _u6816)))) | ( _u6816 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6817), _u6815)) )).
% 20.36/20.54 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)), _u6815)) | ( _u6816 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6817), _u6815)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6815), _u6816)), _u6817)) )).
% 20.36/20.54 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)), _u6815)) | ( _u6816 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6817), _u6815)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6817), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6815), hAPP(c_Nat_OSuc, _u6816)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_split__div_H ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_split__div_H-1, axiom, ( ~hBOOL(hAPP(_u6823, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6825), _u6827))) | ( _u6827 = 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), _u6827), skolem148(_u6827, _u6825, _u6823))), _u6825)) )).
% 20.36/20.54 cnf(fact_split__div_H-2, axiom, ( ~hBOOL(hAPP(_u6823, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6825), _u6827))) | ( _u6827 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6825), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6827), hAPP(c_Nat_OSuc, skolem148(_u6827, _u6825, _u6823))))) )).
% 20.36/20.54 cnf(fact_split__div_H-3, axiom, ( ~hBOOL(hAPP(_u6823, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6825), _u6827))) | ( _u6827 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u6823, skolem148(_u6827, _u6825, _u6823))) )).
% 20.36/20.54 cnf(fact_split__div_H-4, axiom, ( ~hBOOL(hAPP(_u6823, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6825), _u6827))) | hBOOL(hAPP(_u6823, 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), _u6827), skolem148(_u6827, _u6825, _u6823))), _u6825)) )).
% 20.36/20.54 cnf(fact_split__div_H-5, axiom, ( ~hBOOL(hAPP(_u6823, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6825), _u6827))) | hBOOL(hAPP(_u6823, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6825), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6827), hAPP(c_Nat_OSuc, skolem148(_u6827, _u6825, _u6823))))) )).
% 20.36/20.54 cnf(fact_split__div_H-6, axiom, ( ~hBOOL(hAPP(_u6823, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6825), _u6827))) | hBOOL(hAPP(_u6823, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u6823, skolem148(_u6827, _u6825, _u6823))) )).
% 20.36/20.54 cnf(fact_split__div_H-7, axiom, ( hBOOL(hAPP(_u6824, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6826), _u6828))) | ( _u6828 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u6824, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.54 cnf(fact_split__div_H-8, axiom, ( hBOOL(hAPP(_u6824, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6826), _u6828))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6828), _u6819)), _u6826)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6826), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6828), hAPP(c_Nat_OSuc, _u6819)))) | ~hBOOL(hAPP(_u6824, _u6819)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_div__Suc__eq__div__add3 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_div__Suc__eq__div__add3-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6829), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u6830)))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6829), 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)))), _u6830))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Suc__div__eq__add3__div ( axiom ) converted to clauses:
% 20.36/20.54 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, _u6831)))), _u6832) = 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)))), _u6831)), _u6832)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Suc__div__eq__add3__div__number__of ( axiom ) converted to clauses:
% 20.36/20.54 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, _u6833)))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6834)) = 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)))), _u6833)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6834))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_div2__Suc__Suc ( axiom ) converted to clauses:
% 20.36/20.54 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, _u6835))), 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), _u6835), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_add__self__div__2 ( axiom ) converted to clauses:
% 20.36/20.54 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), _u6836), _u6836)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = _u6836) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zero__power2 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_zero__power2-1, axiom, ( ~class_Rings_Osemiring__1(_u6837) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6837), c_Groups_Ozero__class_Ozero(_u6837)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u6837)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zero__eq__power2 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_zero__eq__power2-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u6838) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6838), _u6839), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(_u6838)) | ( _u6839 = c_Groups_Ozero__class_Ozero(_u6838)) )).
% 20.36/20.54 cnf(fact_zero__eq__power2-2, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u6838) | ( _u6839 != c_Groups_Ozero__class_Ozero(_u6838)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6838), _u6839), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u6838)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6840) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6840), _u6841), _u6841) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6840), _u6841), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power2__eq__square ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power2__eq__square-1, axiom, ( ~class_Groups_Omonoid__mult(_u6842) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6842), _u6843), 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(_u6842), _u6843), _u6843)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_one__power2 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_one__power2-1, axiom, ( ~class_Rings_Osemiring__1(_u6844) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6844), c_Groups_Oone__class_Oone(_u6844)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u6844)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power2__minus ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power2__minus-1, axiom, ( ~class_Rings_Oring__1(_u6845) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6845), hAPP(c_Groups_Ouminus__class_Ouminus(_u6845), _u6846)), 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(_u6845), _u6846), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__even__eq ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__even__eq-1, axiom, ( ~class_Groups_Omonoid__mult(_u6847) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6847), _u6848), 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)))), _u6849)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6847), hAPP(hAPP(c_Power_Opower__class_Opower(_u6847), _u6848), _u6849)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_abs__power2 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_abs__power2-1, axiom, ( ~class_Rings_Olinordered__idom(_u6850) | ( hAPP(c_Groups_Oabs__class_Oabs(_u6850), hAPP(hAPP(c_Power_Opower__class_Opower(_u6850), _u6851), 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(_u6850), _u6851), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power2__abs ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power2__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u6852) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6852), hAPP(c_Groups_Oabs__class_Oabs(_u6852), _u6853)), 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(_u6852), _u6853), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power2__eq__imp__eq ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power2__eq__imp__eq-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6854) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6854), _u6855), 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(_u6854), _u6856), 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(_u6854), c_Groups_Ozero__class_Ozero(_u6854)), _u6855)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6854), c_Groups_Ozero__class_Ozero(_u6854)), _u6856)) | ( _u6855 = _u6856) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power2__le__imp__le ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power2__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6857) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6857), hAPP(hAPP(c_Power_Opower__class_Opower(_u6857), _u6858), 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(_u6857), _u6859), 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(_u6857), c_Groups_Ozero__class_Ozero(_u6857)), _u6859)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6857), _u6858), _u6859)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zero__le__power2 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_zero__le__power2-1, axiom, ( ~class_Rings_Olinordered__idom(_u6860) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6860), c_Groups_Ozero__class_Ozero(_u6860)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6860), _u6861), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power2__less__0 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power2__less__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u6862) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6862), hAPP(hAPP(c_Power_Opower__class_Opower(_u6862), _u6863), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Ozero__class_Ozero(_u6862))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zero__less__power2 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_zero__less__power2-1, axiom, ( ~class_Rings_Olinordered__idom(_u6864) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6864), c_Groups_Ozero__class_Ozero(_u6864)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6864), _u6865), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | ( _u6865 != c_Groups_Ozero__class_Ozero(_u6864)) )).
% 20.36/20.54 cnf(fact_zero__less__power2-2, axiom, ( ~class_Rings_Olinordered__idom(_u6864) | ( _u6865 = c_Groups_Ozero__class_Ozero(_u6864)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6864), c_Groups_Ozero__class_Ozero(_u6864)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6864), _u6865), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_sum__power2__eq__zero__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_sum__power2__eq__zero__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u6866) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6866), hAPP(hAPP(c_Power_Opower__class_Opower(_u6866), _u6867), 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(_u6866), _u6868), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u6866)) | ( _u6867 = c_Groups_Ozero__class_Ozero(_u6866)) )).
% 20.36/20.54 cnf(fact_sum__power2__eq__zero__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u6866) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6866), hAPP(hAPP(c_Power_Opower__class_Opower(_u6866), _u6867), 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(_u6866), _u6868), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u6866)) | ( _u6868 = c_Groups_Ozero__class_Ozero(_u6866)) )).
% 20.36/20.54 cnf(fact_sum__power2__eq__zero__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u6866) | ( _u6867 != c_Groups_Ozero__class_Ozero(_u6866)) | ( _u6868 != c_Groups_Ozero__class_Ozero(_u6866)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6866), hAPP(hAPP(c_Power_Opower__class_Opower(_u6866), _u6867), 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(_u6866), _u6868), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(_u6866)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power2__eq__square__number__of ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power2__eq__square__number__of-1, axiom, ( ~class_Groups_Omonoid__mult(_u6869) | ~class_Int_Onumber(_u6869) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6869), hAPP(c_Int_Onumber__class_Onumber__of(_u6869), _u6870)), 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(_u6869), hAPP(c_Int_Onumber__class_Onumber__of(_u6869), _u6870)), hAPP(c_Int_Onumber__class_Onumber__of(_u6869), _u6870))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power2__eq__1__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power2__eq__1__iff-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u6871) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6871), _u6872), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Oone__class_Oone(_u6871)) | ( _u6872 = c_Groups_Oone__class_Oone(_u6871)) | ( _u6872 = hAPP(c_Groups_Ouminus__class_Ouminus(_u6871), c_Groups_Oone__class_Oone(_u6871))) )).
% 20.36/20.54 cnf(fact_power2__eq__1__iff-2, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u6871) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6871), _u6872), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u6871)) | ( _u6872 != c_Groups_Oone__class_Oone(_u6871)) )).
% 20.36/20.54 cnf(fact_power2__eq__1__iff-3, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u6871) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6871), _u6872), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u6871)) | ( _u6872 != hAPP(c_Groups_Ouminus__class_Ouminus(_u6871), c_Groups_Oone__class_Oone(_u6871))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_div__nat__number__of ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_div__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6875))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6875)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6877)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.54 cnf(fact_div__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6876))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6876)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6878)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6876)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6878)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6879) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6879), _u6880), 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)))), _u6881)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6879), hAPP(hAPP(c_Power_Opower__class_Opower(_u6879), _u6880), _u6881)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6879), _u6880), _u6881))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__minus__even ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__minus__even-1, axiom, ( ~class_Rings_Oring__1(_u6882) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6882), hAPP(c_Groups_Ouminus__class_Ouminus(_u6882), _u6883)), 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)))), _u6884)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6882), _u6883), 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)))), _u6884))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_div__2__gt__zero ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6885)) | 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), _u6885), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power2__less__imp__less ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power2__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6886) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6886), hAPP(hAPP(c_Power_Opower__class_Opower(_u6886), _u6887), 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(_u6886), _u6888), 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(_u6886), c_Groups_Ozero__class_Ozero(_u6886)), _u6888)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6886), _u6887), _u6888)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_one__div__nat__number__of ( axiom ) converted to clauses:
% 20.36/20.54 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), _u6889)) = 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), _u6889)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_sum__power2__le__zero__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_sum__power2__le__zero__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u6890) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6890), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6890), hAPP(hAPP(c_Power_Opower__class_Opower(_u6890), _u6891), 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(_u6890), _u6892), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u6890))) | ( _u6891 = c_Groups_Ozero__class_Ozero(_u6890)) )).
% 20.36/20.54 cnf(fact_sum__power2__le__zero__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u6890) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6890), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6890), hAPP(hAPP(c_Power_Opower__class_Opower(_u6890), _u6891), 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(_u6890), _u6892), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u6890))) | ( _u6892 = c_Groups_Ozero__class_Ozero(_u6890)) )).
% 20.36/20.54 cnf(fact_sum__power2__le__zero__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u6890) | ( _u6891 != c_Groups_Ozero__class_Ozero(_u6890)) | ( _u6892 != c_Groups_Ozero__class_Ozero(_u6890)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6890), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6890), hAPP(hAPP(c_Power_Opower__class_Opower(_u6890), _u6891), 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(_u6890), _u6892), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u6890))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_sum__power2__ge__zero ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_sum__power2__ge__zero-1, axiom, ( ~class_Rings_Olinordered__idom(_u6893) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6893), c_Groups_Ozero__class_Ozero(_u6893)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6893), hAPP(hAPP(c_Power_Opower__class_Opower(_u6893), _u6894), 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(_u6893), _u6895), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_sum__power2__gt__zero__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_sum__power2__gt__zero__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u6896) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6896), c_Groups_Ozero__class_Ozero(_u6896)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6896), hAPP(hAPP(c_Power_Opower__class_Opower(_u6896), _u6897), 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(_u6896), _u6898), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u6897 != c_Groups_Ozero__class_Ozero(_u6896)) | ( _u6898 != c_Groups_Ozero__class_Ozero(_u6896)) )).
% 20.36/20.54 cnf(fact_sum__power2__gt__zero__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u6896) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6896), c_Groups_Ozero__class_Ozero(_u6896)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6896), hAPP(hAPP(c_Power_Opower__class_Opower(_u6896), _u6897), 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(_u6896), _u6898), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u6897 = c_Groups_Ozero__class_Ozero(_u6896)) )).
% 20.36/20.54 cnf(fact_sum__power2__gt__zero__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u6896) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6896), c_Groups_Ozero__class_Ozero(_u6896)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6896), hAPP(hAPP(c_Power_Opower__class_Opower(_u6896), _u6897), 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(_u6896), _u6898), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u6898 = c_Groups_Ozero__class_Ozero(_u6896)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_not__sum__power2__lt__zero ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_not__sum__power2__lt__zero-1, axiom, ( ~class_Rings_Olinordered__idom(_u6899) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6899), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6899), hAPP(hAPP(c_Power_Opower__class_Opower(_u6899), _u6900), 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(_u6899), _u6901), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u6899))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power2__sum ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power2__sum-1, axiom, ( ~class_Int_Onumber__ring(_u6902) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6902), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6902), _u6903), _u6904)), 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(_u6902), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6902), hAPP(hAPP(c_Power_Opower__class_Opower(_u6902), _u6903), 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(_u6902), _u6904), 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(_u6902), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6902), hAPP(c_Int_Onumber__class_Onumber__of(_u6902), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u6903)), _u6904))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zero__le__even__power_H ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_zero__le__even__power_H-1, axiom, ( ~class_Rings_Olinordered__idom(_u6905) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6905), c_Groups_Ozero__class_Ozero(_u6905)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6905), _u6906), 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)))), _u6907)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6908) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6908), _u6909), 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)))), _u6910))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6908), _u6909), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6908), hAPP(hAPP(c_Power_Opower__class_Opower(_u6908), _u6909), _u6910)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6908), _u6909), _u6910)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__odd__eq ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__odd__eq-1, axiom, ( ~class_Groups_Omonoid__mult(_u6911) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6911), _u6912), 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)))), _u6913))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6911), _u6912), hAPP(hAPP(c_Power_Opower__class_Opower(_u6911), hAPP(hAPP(c_Power_Opower__class_Opower(_u6911), _u6912), _u6913)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__minus1__even ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__minus1__even-1, axiom, ( ~class_Rings_Oring__1(_u6914) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6914), hAPP(c_Groups_Ouminus__class_Ouminus(_u6914), c_Groups_Oone__class_Oone(_u6914))), 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)))), _u6915)) = c_Groups_Oone__class_Oone(_u6914)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_int__power__div__base ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6916)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6917)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6917), _u6916)), _u6917) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6917), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6916), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Suc__n__div__2__gt__zero ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6918)) | 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), _u6918), 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)))))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power2__diff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power2__diff-1, axiom, ( ~class_Int_Onumber__ring(_u6919) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6919), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6919), _u6920), _u6921)), 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(_u6919), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6919), hAPP(hAPP(c_Power_Opower__class_Opower(_u6919), _u6920), 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(_u6919), _u6921), 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(_u6919), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6919), hAPP(c_Int_Onumber__class_Onumber__of(_u6919), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u6920)), _u6921))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_odd__0__le__power__imp__0__le ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_odd__0__le__power__imp__0__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u6922) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6922), c_Groups_Ozero__class_Ozero(_u6922)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6922), _u6923), 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)))), _u6924))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6922), c_Groups_Ozero__class_Ozero(_u6922)), _u6923)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_odd__power__less__zero ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_odd__power__less__zero-1, axiom, ( ~class_Rings_Olinordered__idom(_u6925) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6925), _u6926), c_Groups_Ozero__class_Ozero(_u6925))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6925), hAPP(hAPP(c_Power_Opower__class_Opower(_u6925), _u6926), 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)))), _u6927)))), c_Groups_Ozero__class_Ozero(_u6925))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__minus1__odd ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__minus1__odd-1, axiom, ( ~class_Rings_Oring__1(_u6928) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6928), hAPP(c_Groups_Ouminus__class_Ouminus(_u6928), c_Groups_Oone__class_Oone(_u6928))), 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)))), _u6929))) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6928), c_Groups_Oone__class_Oone(_u6928))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__m1__even ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__m1__even-1, axiom, ( ~class_Int_Onumber__ring(_u6930) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6930), hAPP(c_Int_Onumber__class_Onumber__of(_u6930), 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)))), _u6931)) = c_Groups_Oone__class_Oone(_u6930)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_int__of__code ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_int__of__code-1, axiom, ( ( _u6933 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Code__Numeral_Oint__of, _u6933) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.54 cnf(fact_int__of__code-2, axiom, ( ( _u6934 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u6934, 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, _u6934) = 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), _u6934), hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 20.36/20.54 cnf(fact_int__of__code-3, axiom, ( ( _u6934 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u6934, 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, _u6934) = 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), _u6934), 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))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__strict__mono ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__strict__mono-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6935) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6935), _u6936), _u6937)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6935), c_Groups_Ozero__class_Ozero(_u6935)), _u6936)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6938)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6935), hAPP(hAPP(c_Power_Opower__class_Opower(_u6935), _u6936), _u6938)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6935), _u6937), _u6938))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__diff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__diff-1, axiom, ( ~class_Fields_Ofield(_u6939) | ( _u6940 = c_Groups_Ozero__class_Ozero(_u6939)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6941), _u6942)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6939), _u6940), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6942), _u6941)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u6939), hAPP(hAPP(c_Power_Opower__class_Opower(_u6939), _u6940), _u6942)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6939), _u6940), _u6941))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_one__less__power ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_one__less__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6943) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6943), c_Groups_Oone__class_Oone(_u6943)), _u6944)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6945)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6943), c_Groups_Oone__class_Oone(_u6943)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6943), _u6944), _u6945))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__increasing__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__increasing__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6946) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6946), c_Groups_Oone__class_Oone(_u6946)), _u6947)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6946), hAPP(hAPP(c_Power_Opower__class_Opower(_u6946), _u6947), _u6948)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6946), _u6947), _u6949))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6948), _u6949)) )).
% 20.36/20.54 cnf(fact_power__increasing__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u6946) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6946), c_Groups_Oone__class_Oone(_u6946)), _u6947)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6948), _u6949)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6946), hAPP(hAPP(c_Power_Opower__class_Opower(_u6946), _u6947), _u6948)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6946), _u6947), _u6949))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_field__power__not__zero ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_field__power__not__zero-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u6950) | ( _u6951 = c_Groups_Ozero__class_Ozero(_u6950)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6950), _u6951), _u6952) != c_Groups_Ozero__class_Ozero(_u6950)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__Suc__0 ( axiom ) converted to clauses:
% 20.36/20.54 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))), _u6953) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_nat__power__eq__Suc__0__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_nat__power__eq__Suc__0__iff-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6956), _u6958) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6958 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6956 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.54 cnf(fact_nat__power__eq__Suc__0__iff-2, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6957), _u6959) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6959 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.54 cnf(fact_nat__power__eq__Suc__0__iff-3, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6957), _u6959) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6957 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_nat__zero__less__power__iff ( axiom ) converted to clauses:
% 20.36/20.54 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), _u6962), _u6964))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6962)) | ( _u6964 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.54 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), _u6963), _u6965))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6963)) )).
% 20.36/20.54 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), _u6963), _u6965))) | ( _u6965 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_nat__power__less__imp__less ( axiom ) converted to clauses:
% 20.36/20.54 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)), _u6966)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6966), _u6967)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6966), _u6968))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6967), _u6968)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__mult__distrib ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__mult__distrib-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u6969) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6969), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6969), _u6970), _u6971)), _u6972) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6969), hAPP(hAPP(c_Power_Opower__class_Opower(_u6969), _u6970), _u6972)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6969), _u6971), _u6972))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__commutes ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__commutes-1, axiom, ( ~class_Groups_Omonoid__mult(_u6973) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6973), hAPP(hAPP(c_Power_Opower__class_Opower(_u6973), _u6974), _u6975)), _u6974) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6973), _u6974), hAPP(hAPP(c_Power_Opower__class_Opower(_u6973), _u6974), _u6975))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__one ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__one-1, axiom, ( ~class_Groups_Omonoid__mult(_u6976) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6976), c_Groups_Oone__class_Oone(_u6976)), _u6977) = c_Groups_Oone__class_Oone(_u6976)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_of__nat__power ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_of__nat__power-1, axiom, ( ~class_Rings_Osemiring__1(_u6978) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6978), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6979), _u6980)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6978), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6978), _u6979)), _u6980)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__mult ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__mult-1, axiom, ( ~class_Groups_Omonoid__mult(_u6981) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6981), _u6982), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6983), _u6984)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6981), hAPP(hAPP(c_Power_Opower__class_Opower(_u6981), _u6982), _u6983)), _u6984)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__divide ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__divide-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u6985) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6985), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u6985), _u6986), _u6987)), _u6988) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u6985), hAPP(hAPP(c_Power_Opower__class_Opower(_u6985), _u6986), _u6988)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6985), _u6987), _u6988))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__abs ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u6989) | ( hAPP(c_Groups_Oabs__class_Oabs(_u6989), hAPP(hAPP(c_Power_Opower__class_Opower(_u6989), _u6990), _u6991)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6989), hAPP(c_Groups_Oabs__class_Oabs(_u6989), _u6990)), _u6991)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__one__right ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__one__right-1, axiom, ( ~class_Groups_Omonoid__mult(_u6992) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6992), _u6993), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u6993) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zero__le__power ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_zero__le__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6994) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6994), c_Groups_Ozero__class_Ozero(_u6994)), _u6995)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6994), c_Groups_Ozero__class_Ozero(_u6994)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6994), _u6995), _u6996))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__mono ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__mono-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6997) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6997), _u6998), _u6999)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6997), c_Groups_Ozero__class_Ozero(_u6997)), _u6998)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6997), hAPP(hAPP(c_Power_Opower__class_Opower(_u6997), _u6998), _u7000)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6997), _u6999), _u7000))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zero__less__power ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_zero__less__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u7001) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7001), c_Groups_Ozero__class_Ozero(_u7001)), _u7002)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7001), c_Groups_Ozero__class_Ozero(_u7001)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7001), _u7002), _u7003))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__eq__0__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__eq__0__iff-1, axiom, ( ~class_Power_Opower(_u7004) | ~class_Rings_Omult__zero(_u7004) | ~class_Rings_Ono__zero__divisors(_u7004) | ~class_Rings_Ozero__neq__one(_u7004) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7004), _u7005), _u7006) != c_Groups_Ozero__class_Ozero(_u7004)) | ( _u7005 = c_Groups_Ozero__class_Ozero(_u7004)) )).
% 20.36/20.54 cnf(fact_power__eq__0__iff-2, axiom, ( ~class_Power_Opower(_u7004) | ~class_Rings_Omult__zero(_u7004) | ~class_Rings_Ono__zero__divisors(_u7004) | ~class_Rings_Ozero__neq__one(_u7004) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7004), _u7005), _u7006) != c_Groups_Ozero__class_Ozero(_u7004)) | ( _u7006 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.54 cnf(fact_power__eq__0__iff-3, axiom, ( ~class_Power_Opower(_u7004) | ~class_Rings_Omult__zero(_u7004) | ~class_Rings_Ono__zero__divisors(_u7004) | ~class_Rings_Ozero__neq__one(_u7004) | ( _u7005 != c_Groups_Ozero__class_Ozero(_u7004)) | ( _u7006 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7004), _u7005), _u7006) = c_Groups_Ozero__class_Ozero(_u7004)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_one__le__power ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_one__le__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u7007) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7007), c_Groups_Oone__class_Oone(_u7007)), _u7008)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7007), c_Groups_Oone__class_Oone(_u7007)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7007), _u7008), _u7009))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__0__Suc ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__0__Suc-1, axiom, ( ~class_Power_Opower(_u7010) | ~class_Rings_Osemiring__0(_u7010) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7010), c_Groups_Ozero__class_Ozero(_u7010)), hAPP(c_Nat_OSuc, _u7011)) = c_Groups_Ozero__class_Ozero(_u7010)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__inject__exp ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__inject__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u7012) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7012), c_Groups_Oone__class_Oone(_u7012)), _u7013)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7012), _u7013), _u7014) != hAPP(hAPP(c_Power_Opower__class_Opower(_u7012), _u7013), _u7015)) | ( _u7014 = _u7015) )).
% 20.36/20.54 cnf(fact_power__inject__exp-2, axiom, ( ~class_Rings_Olinordered__semidom(_u7012) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7012), c_Groups_Oone__class_Oone(_u7012)), _u7013)) | ( _u7014 != _u7015) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7012), _u7013), _u7014) = hAPP(hAPP(c_Power_Opower__class_Opower(_u7012), _u7013), _u7015)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__Suc ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__Suc-1, axiom, ( ~class_Power_Opower(_u7016) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7016), _u7017), hAPP(c_Nat_OSuc, _u7018)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7016), _u7017), hAPP(hAPP(c_Power_Opower__class_Opower(_u7016), _u7017), _u7018))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__Suc2 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__Suc2-1, axiom, ( ~class_Groups_Omonoid__mult(_u7019) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7019), _u7020), hAPP(c_Nat_OSuc, _u7021)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7019), hAPP(hAPP(c_Power_Opower__class_Opower(_u7019), _u7020), _u7021)), _u7020)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_nat__one__le__power ( axiom ) converted to clauses:
% 20.36/20.54 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))), _u7022)) | 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), _u7022), _u7023))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__0 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__0-1, axiom, ( ~class_Power_Opower(_u7024) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7024), _u7025), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u7024)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__add ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__add-1, axiom, ( ~class_Groups_Omonoid__mult(_u7026) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7026), _u7027), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7028), _u7029)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7026), hAPP(hAPP(c_Power_Opower__class_Opower(_u7026), _u7027), _u7028)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7026), _u7027), _u7029))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_nonzero__power__divide ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_nonzero__power__divide-1, axiom, ( ~class_Fields_Ofield(_u7030) | ( _u7031 = c_Groups_Ozero__class_Ozero(_u7030)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7030), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7030), _u7032), _u7031)), _u7033) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7030), hAPP(hAPP(c_Power_Opower__class_Opower(_u7030), _u7032), _u7033)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7030), _u7031), _u7033))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__one__over ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__one__over-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u7034) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7034), c_Groups_Oone__class_Oone(_u7034)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7034), _u7035), _u7036)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u7034), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7034), c_Groups_Oone__class_Oone(_u7034)), _u7035)), _u7036)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_abs__power__minus ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_abs__power__minus-1, axiom, ( ~class_Rings_Olinordered__idom(_u7037) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7037), hAPP(hAPP(c_Power_Opower__class_Opower(_u7037), hAPP(c_Groups_Ouminus__class_Ouminus(_u7037), _u7038)), _u7039)) = hAPP(c_Groups_Oabs__class_Oabs(_u7037), hAPP(hAPP(c_Power_Opower__class_Opower(_u7037), _u7038), _u7039))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__less__imp__less__base ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__less__imp__less__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u7040) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7040), hAPP(hAPP(c_Power_Opower__class_Opower(_u7040), _u7041), _u7042)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7040), _u7043), _u7042))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7040), c_Groups_Ozero__class_Ozero(_u7040)), _u7043)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7040), _u7041), _u7043)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__inject__base ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__inject__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u7044) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7044), _u7045), hAPP(c_Nat_OSuc, _u7046)) != hAPP(hAPP(c_Power_Opower__class_Opower(_u7044), _u7047), hAPP(c_Nat_OSuc, _u7046))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7044), c_Groups_Ozero__class_Ozero(_u7044)), _u7045)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7044), c_Groups_Ozero__class_Ozero(_u7044)), _u7047)) | ( _u7045 = _u7047) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__le__imp__le__base ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__le__imp__le__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u7048) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7048), hAPP(hAPP(c_Power_Opower__class_Opower(_u7048), _u7049), hAPP(c_Nat_OSuc, _u7050))), hAPP(hAPP(c_Power_Opower__class_Opower(_u7048), _u7051), hAPP(c_Nat_OSuc, _u7050)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7048), c_Groups_Ozero__class_Ozero(_u7048)), _u7051)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7048), _u7049), _u7051)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__gt1__lemma ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__gt1__lemma-1, axiom, ( ~class_Rings_Olinordered__semidom(_u7052) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7052), c_Groups_Oone__class_Oone(_u7052)), _u7053)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7052), c_Groups_Oone__class_Oone(_u7052)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7052), _u7053), hAPP(hAPP(c_Power_Opower__class_Opower(_u7052), _u7053), _u7054)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__less__power__Suc ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__less__power__Suc-1, axiom, ( ~class_Rings_Olinordered__semidom(_u7055) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7055), c_Groups_Oone__class_Oone(_u7055)), _u7056)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7055), hAPP(hAPP(c_Power_Opower__class_Opower(_u7055), _u7056), _u7057)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7055), _u7056), hAPP(hAPP(c_Power_Opower__class_Opower(_u7055), _u7056), _u7057)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__0__left ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__0__left-1, axiom, ( ~class_Power_Opower(_u7058) | ~class_Rings_Osemiring__0(_u7058) | ( _u7059 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7058), c_Groups_Ozero__class_Ozero(_u7058)), _u7059) = c_Groups_Oone__class_Oone(_u7058)) )).
% 20.36/20.54 cnf(fact_power__0__left-2, axiom, ( ~class_Power_Opower(_u7058) | ~class_Rings_Osemiring__0(_u7058) | ( _u7059 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7058), c_Groups_Ozero__class_Ozero(_u7058)), _u7059) = c_Groups_Ozero__class_Ozero(_u7058)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__gt1 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__gt1-1, axiom, ( ~class_Rings_Olinordered__semidom(_u7060) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7060), c_Groups_Oone__class_Oone(_u7060)), _u7061)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7060), c_Groups_Oone__class_Oone(_u7060)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7060), _u7061), hAPP(c_Nat_OSuc, _u7062)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__strict__increasing__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__strict__increasing__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u7063) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7063), c_Groups_Oone__class_Oone(_u7063)), _u7064)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7063), hAPP(hAPP(c_Power_Opower__class_Opower(_u7063), _u7064), _u7065)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7063), _u7064), _u7066))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7065), _u7066)) )).
% 20.36/20.54 cnf(fact_power__strict__increasing__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u7063) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7063), c_Groups_Oone__class_Oone(_u7063)), _u7064)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7065), _u7066)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7063), hAPP(hAPP(c_Power_Opower__class_Opower(_u7063), _u7064), _u7065)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7063), _u7064), _u7066))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__less__imp__less__exp ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__less__imp__less__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u7067) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7067), c_Groups_Oone__class_Oone(_u7067)), _u7068)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7067), hAPP(hAPP(c_Power_Opower__class_Opower(_u7067), _u7068), _u7069)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7067), _u7068), _u7070))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7069), _u7070)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__strict__increasing ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__strict__increasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u7071) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7072), _u7073)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7071), c_Groups_Oone__class_Oone(_u7071)), _u7074)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7071), hAPP(hAPP(c_Power_Opower__class_Opower(_u7071), _u7074), _u7072)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7071), _u7074), _u7073))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zero__le__power__abs ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_zero__le__power__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u7075) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7075), c_Groups_Ozero__class_Ozero(_u7075)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7075), hAPP(c_Groups_Oabs__class_Oabs(_u7075), _u7076)), _u7077))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__increasing ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__increasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u7078) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7079), _u7080)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7078), c_Groups_Oone__class_Oone(_u7078)), _u7081)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7078), hAPP(hAPP(c_Power_Opower__class_Opower(_u7078), _u7081), _u7079)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7078), _u7081), _u7080))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__minus ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__minus-1, axiom, ( ~class_Rings_Oring__1(_u7082) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7082), hAPP(c_Groups_Ouminus__class_Ouminus(_u7082), _u7083)), _u7084) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7082), hAPP(hAPP(c_Power_Opower__class_Opower(_u7082), hAPP(c_Groups_Ouminus__class_Ouminus(_u7082), c_Groups_Oone__class_Oone(_u7082))), _u7084)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7082), _u7083), _u7084))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__Suc__less ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__Suc__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u7085) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7085), c_Groups_Ozero__class_Ozero(_u7085)), _u7086)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7085), _u7086), c_Groups_Oone__class_Oone(_u7085))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7085), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7085), _u7086), hAPP(hAPP(c_Power_Opower__class_Opower(_u7085), _u7086), _u7087))), hAPP(hAPP(c_Power_Opower__class_Opower(_u7085), _u7086), _u7087))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__eq__imp__eq__base ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__eq__imp__eq__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u7088) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7088), _u7089), _u7090) != hAPP(hAPP(c_Power_Opower__class_Opower(_u7088), _u7091), _u7090)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7088), c_Groups_Ozero__class_Ozero(_u7088)), _u7089)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7088), c_Groups_Ozero__class_Ozero(_u7088)), _u7091)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7090)) | ( _u7089 = _u7091) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__Suc__less__one ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__Suc__less__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u7092) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7092), c_Groups_Ozero__class_Ozero(_u7092)), _u7093)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7092), _u7093), c_Groups_Oone__class_Oone(_u7092))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7092), hAPP(hAPP(c_Power_Opower__class_Opower(_u7092), _u7093), hAPP(c_Nat_OSuc, _u7094))), c_Groups_Oone__class_Oone(_u7092))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__strict__decreasing ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__strict__decreasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u7095) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7096), _u7097)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7095), c_Groups_Ozero__class_Ozero(_u7095)), _u7098)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7095), _u7098), c_Groups_Oone__class_Oone(_u7095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7095), hAPP(hAPP(c_Power_Opower__class_Opower(_u7095), _u7098), _u7097)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7095), _u7098), _u7096))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__decreasing ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__decreasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u7099) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7100), _u7101)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7099), c_Groups_Ozero__class_Ozero(_u7099)), _u7102)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7099), _u7102), c_Groups_Oone__class_Oone(_u7099))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7099), hAPP(hAPP(c_Power_Opower__class_Opower(_u7099), _u7102), _u7101)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7099), _u7102), _u7100))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__le__imp__le__exp ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__le__imp__le__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u7103) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7103), c_Groups_Oone__class_Oone(_u7103)), _u7104)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7103), hAPP(hAPP(c_Power_Opower__class_Opower(_u7103), _u7104), _u7105)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7103), _u7104), _u7106))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7105), _u7106)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_card__Pow ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_card__Pow-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7107), _u7108)) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u7107, tc_HOL_Obool)), hAPP(c_Set_OPow(_u7107), _u7108)) = 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(_u7107), _u7108))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power__power__power ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power__power__power-1, axiom, ( ~class_Power_Opower(_u7109) | ( c_Power_Opower__class_Opower(_u7109) = c_Power_Opower_Opower(_u7109, c_Groups_Oone__class_Oone(_u7109), c_Groups_Otimes__class_Otimes(_u7109))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_code__numeral_Osize_I1_J ( axiom ) converted to clauses:
% 20.36/20.54 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)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_of__int__of__nat ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_of__int__of__nat-1, axiom, ( ~class_Rings_Oring__1(_u7110) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7111), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7110), _u7111) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7110), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7110), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7111))))) )).
% 20.36/20.54 cnf(fact_of__int__of__nat-2, axiom, ( ~class_Rings_Oring__1(_u7110) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7111), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7110), _u7111) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7110), hAPP(c_Int_Onat, _u7111))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Nitpick_Oint__lcm__def ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_Nitpick_Oint__lcm__def-1, axiom, ( ( c_Nitpick_Oint__lcm(_u7112, _u7113) = 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), _u7112)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7113))))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_PowI ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_PowI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7114, tc_HOL_Obool)), _u7115), _u7116)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u7114, tc_HOL_Obool)), _u7115), hAPP(c_Set_OPow(_u7114), _u7116))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_of__int__eq__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_of__int__eq__iff-1, axiom, ( ~class_Int_Oring__char__0(_u7117) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7117), _u7118) != hAPP(c_Int_Oring__1__class_Oof__int(_u7117), _u7119)) | ( _u7118 = _u7119) )).
% 20.36/20.54 cnf(fact_of__int__eq__iff-2, axiom, ( ~class_Int_Oring__char__0(_u7117) | ( _u7118 != _u7119) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7117), _u7118) = hAPP(c_Int_Oring__1__class_Oof__int(_u7117), _u7119)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_number__of__eq ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u7120) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u7120), _u7121) = hAPP(c_Int_Oring__1__class_Oof__int(_u7120), _u7121)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_int__number__of__def ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_int__number__of__def-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7122) = hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint), _u7122)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_of__int__int__eq ( axiom ) converted to clauses:
% 20.36/20.54 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), _u7123)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7123)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Pow__top ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_Pow__top-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u7124, tc_HOL_Obool)), _u7125), hAPP(c_Set_OPow(_u7124), _u7125))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Union__Pow__eq ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_Union__Pow__eq-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u7126, tc_HOL_Obool), hAPP(c_Set_OPow(_u7126), _u7127)) = _u7127) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Pow__not__empty ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_Pow__not__empty-1, axiom, ( ( hAPP(c_Set_OPow(_u7128), _u7129) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u7128, tc_HOL_Obool), tc_HOL_Obool))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_of__int__0 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_of__int__0-1, axiom, ( ~class_Rings_Oring__1(_u7130) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7130), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(_u7130)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_of__int__0__eq__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_of__int__0__eq__iff-1, axiom, ( ~class_Int_Oring__char__0(_u7131) | ( c_Groups_Ozero__class_Ozero(_u7131) != hAPP(c_Int_Oring__1__class_Oof__int(_u7131), _u7132)) | ( _u7132 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.54 cnf(fact_of__int__0__eq__iff-2, axiom, ( ~class_Int_Oring__char__0(_u7131) | ( _u7132 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Ozero__class_Ozero(_u7131) = hAPP(c_Int_Oring__1__class_Oof__int(_u7131), _u7132)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_of__int__eq__0__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_of__int__eq__0__iff-1, axiom, ( ~class_Int_Oring__char__0(_u7133) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7133), _u7134) != c_Groups_Ozero__class_Ozero(_u7133)) | ( _u7134 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.54 cnf(fact_of__int__eq__0__iff-2, axiom, ( ~class_Int_Oring__char__0(_u7133) | ( _u7134 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7133), _u7134) = c_Groups_Ozero__class_Ozero(_u7133)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_of__int__le__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_of__int__le__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u7135) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7135), hAPP(c_Int_Oring__1__class_Oof__int(_u7135), _u7136)), hAPP(c_Int_Oring__1__class_Oof__int(_u7135), _u7137))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7136), _u7137)) )).
% 20.36/20.54 cnf(fact_of__int__le__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u7135) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7136), _u7137)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7135), hAPP(c_Int_Oring__1__class_Oof__int(_u7135), _u7136)), hAPP(c_Int_Oring__1__class_Oof__int(_u7135), _u7137))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_of__int__less__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_of__int__less__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u7138) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7138), hAPP(c_Int_Oring__1__class_Oof__int(_u7138), _u7139)), hAPP(c_Int_Oring__1__class_Oof__int(_u7138), _u7140))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7139), _u7140)) )).
% 20.36/20.54 cnf(fact_of__int__less__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u7138) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7139), _u7140)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7138), hAPP(c_Int_Oring__1__class_Oof__int(_u7138), _u7139)), hAPP(c_Int_Oring__1__class_Oof__int(_u7138), _u7140))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_of__int__add ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_of__int__add-1, axiom, ( ~class_Rings_Oring__1(_u7141) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7141), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7142), _u7143)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7141), hAPP(c_Int_Oring__1__class_Oof__int(_u7141), _u7142)), hAPP(c_Int_Oring__1__class_Oof__int(_u7141), _u7143))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_of__int__number__of__eq ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_of__int__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u7144) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7144), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7145)) = hAPP(c_Int_Onumber__class_Onumber__of(_u7144), _u7145)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_of__int__mult ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_of__int__mult-1, axiom, ( ~class_Rings_Oring__1(_u7146) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7146), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7147), _u7148)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7146), hAPP(c_Int_Oring__1__class_Oof__int(_u7146), _u7147)), hAPP(c_Int_Oring__1__class_Oof__int(_u7146), _u7148))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_of__int__1 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_of__int__1-1, axiom, ( ~class_Rings_Oring__1(_u7149) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7149), c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Oone__class_Oone(_u7149)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_of__int__diff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_of__int__diff-1, axiom, ( ~class_Rings_Oring__1(_u7150) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7150), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7151), _u7152)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7150), hAPP(c_Int_Oring__1__class_Oof__int(_u7150), _u7151)), hAPP(c_Int_Oring__1__class_Oof__int(_u7150), _u7152))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_of__int__of__nat__eq ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_of__int__of__nat__eq-1, axiom, ( ~class_Rings_Oring__1(_u7153) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7153), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7154)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7153), _u7154)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_of__int__minus ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_of__int__minus-1, axiom, ( ~class_Rings_Oring__1(_u7155) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7155), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7156)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7155), hAPP(c_Int_Oring__1__class_Oof__int(_u7155), _u7156))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Pow__bottom ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_Pow__bottom-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u7157, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u7157, tc_HOL_Obool))), hAPP(c_Set_OPow(_u7157), _u7158))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Pow__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_Pow__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u7162, tc_HOL_Obool)), _u7164), hAPP(c_Set_OPow(_u7162), _u7166))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7162, tc_HOL_Obool)), _u7164), _u7166)) )).
% 20.36/20.54 cnf(fact_Pow__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7163, tc_HOL_Obool)), _u7165), _u7167)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u7163, tc_HOL_Obool)), _u7165), hAPP(c_Set_OPow(_u7163), _u7167))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_PowD ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_PowD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u7168, tc_HOL_Obool)), _u7169), hAPP(c_Set_OPow(_u7168), _u7170))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7168, tc_HOL_Obool)), _u7169), _u7170)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Ints__of__int ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_Ints__of__int-1, axiom, ( ~class_Rings_Oring__1(_u7171) | hBOOL(hAPP(hAPP(c_member(_u7171), hAPP(c_Int_Oring__1__class_Oof__int(_u7171), _u7172)), c_Int_Oring__1__class_OInts(_u7171))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_of__int__power ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_of__int__power-1, axiom, ( ~class_Rings_Oring__1(_u7173) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7173), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u7174), _u7175)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u7173), hAPP(c_Int_Oring__1__class_Oof__int(_u7173), _u7174)), _u7175)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Pow__mono ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_Pow__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7176, tc_HOL_Obool)), _u7177), _u7178)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u7176, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u7176), _u7177)), hAPP(c_Set_OPow(_u7176), _u7178))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_finite__Pow__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_finite__Pow__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u7181, tc_HOL_Obool)), hAPP(c_Set_OPow(_u7181), _u7183))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7181), _u7183)) )).
% 20.36/20.54 cnf(fact_finite__Pow__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7182), _u7184)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u7182, tc_HOL_Obool)), hAPP(c_Set_OPow(_u7182), _u7184))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_subset__Pow__Union ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_subset__Pow__Union-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u7185, tc_HOL_Obool), tc_HOL_Obool)), _u7186), hAPP(c_Set_OPow(_u7185), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u7185, tc_HOL_Obool), _u7186)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power_Opower_Opower__0 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power_Opower_Opower__0-1, axiom, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u7187, _u7188, _u7189), _u7190), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u7188) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_power_Opower_Opower__Suc ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_power_Opower_Opower__Suc-1, axiom, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u7191, _u7192, _u7193), _u7194), hAPP(c_Nat_OSuc, _u7195)) = hAPP(hAPP(_u7193, _u7194), hAPP(hAPP(c_Power_Opower_Opower(_u7191, _u7192, _u7193), _u7194), _u7195))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Pow__Int__eq ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_Pow__Int__eq-1, axiom, ( ( hAPP(c_Set_OPow(_u7196), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7196, tc_HOL_Obool)), _u7197), _u7198)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u7196, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u7196), _u7197)), hAPP(c_Set_OPow(_u7196), _u7198))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_of__int__m1 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_of__int__m1-1, axiom, ( ~class_Int_Onumber__ring(_u7199) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7199), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Int_Onumber__class_Onumber__of(_u7199), c_Int_OMin)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Pow__empty ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_Pow__empty-1, axiom, ( ( hAPP(c_Set_OPow(_u7200), c_Orderings_Obot__class_Obot(tc_fun(_u7200, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u7200, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u7200, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u7200, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_of__int__le__0__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_of__int__le__0__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u7201) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7201), hAPP(c_Int_Oring__1__class_Oof__int(_u7201), _u7202)), c_Groups_Ozero__class_Ozero(_u7201))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7202), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.54 cnf(fact_of__int__le__0__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u7201) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7202), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7201), hAPP(c_Int_Oring__1__class_Oof__int(_u7201), _u7202)), c_Groups_Ozero__class_Ozero(_u7201))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_of__int__0__le__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_of__int__0__le__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u7203) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7203), c_Groups_Ozero__class_Ozero(_u7203)), hAPP(c_Int_Oring__1__class_Oof__int(_u7203), _u7204))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7204)) )).
% 20.36/20.54 cnf(fact_of__int__0__le__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u7203) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7204)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7203), c_Groups_Ozero__class_Ozero(_u7203)), hAPP(c_Int_Oring__1__class_Oof__int(_u7203), _u7204))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_of__int__0__less__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_of__int__0__less__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u7205) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7205), c_Groups_Ozero__class_Ozero(_u7205)), hAPP(c_Int_Oring__1__class_Oof__int(_u7205), _u7206))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7206)) )).
% 20.36/20.54 cnf(fact_of__int__0__less__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u7205) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7206)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7205), c_Groups_Ozero__class_Ozero(_u7205)), hAPP(c_Int_Oring__1__class_Oof__int(_u7205), _u7206))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_of__int__less__0__iff ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_of__int__less__0__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u7207) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7207), hAPP(c_Int_Oring__1__class_Oof__int(_u7207), _u7208)), c_Groups_Ozero__class_Ozero(_u7207))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7208), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.54 cnf(fact_of__int__less__0__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u7207) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7208), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7207), hAPP(c_Int_Oring__1__class_Oof__int(_u7207), _u7208)), c_Groups_Ozero__class_Ozero(_u7207))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_of__nat__nat ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_of__nat__nat-1, axiom, ( ~class_Rings_Oring__1(_u7209) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7210)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7209), hAPP(c_Int_Onat, _u7210)) = hAPP(c_Int_Oring__1__class_Oof__int(_u7209), _u7210)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Un__Pow__subset ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_Un__Pow__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u7211, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u7211, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u7211), _u7212)), hAPP(c_Set_OPow(_u7211), _u7213))), hAPP(c_Set_OPow(_u7211), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7211, tc_HOL_Obool)), _u7212), _u7213)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Nitpick_Onat__lcm__def ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_Nitpick_Onat__lcm__def-1, axiom, ( ( c_Nitpick_Onat__lcm(_u7214, _u7215) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7214), _u7215)), c_Nitpick_Onat__gcd(_u7214, _u7215))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_code__numeral_Osize_I2_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_code__numeral_Osize_I2_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Code__Numeral_OSuc__code__numeral(_u7216)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(_u7216)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_negD ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_negD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7218), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7218 = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem149(_u7218))))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_code__numeral_Osize_I3_J ( axiom ) converted to clauses:
% 20.36/20.54 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)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_sgn__if ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_sgn__if-1, axiom, ( ~class_Groups_Osgn__if(_u7219) | ( _u7220 != c_Groups_Ozero__class_Ozero(_u7219)) | ( c_Groups_Osgn__class_Osgn(_u7219, _u7220) = c_Groups_Ozero__class_Ozero(_u7219)) )).
% 20.36/20.54 cnf(fact_sgn__if-2, axiom, ( ~class_Groups_Osgn__if(_u7219) | ( _u7220 = c_Groups_Ozero__class_Ozero(_u7219)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7219), c_Groups_Ozero__class_Ozero(_u7219)), _u7220)) | ( c_Groups_Osgn__class_Osgn(_u7219, _u7220) = c_Groups_Oone__class_Oone(_u7219)) )).
% 20.36/20.54 cnf(fact_sgn__if-3, axiom, ( ~class_Groups_Osgn__if(_u7219) | ( _u7220 = c_Groups_Ozero__class_Ozero(_u7219)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7219), c_Groups_Ozero__class_Ozero(_u7219)), _u7220)) | ( c_Groups_Osgn__class_Osgn(_u7219, _u7220) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7219), c_Groups_Oone__class_Oone(_u7219))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_code__numeral_Oinject ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_code__numeral_Oinject-1, axiom, ( ( c_Code__Numeral_OSuc__code__numeral(_u7223) != c_Code__Numeral_OSuc__code__numeral(_u7225)) | ( _u7223 = _u7225) )).
% 20.36/20.54 cnf(fact_code__numeral_Oinject-2, axiom, ( ( _u7224 != _u7226) | ( c_Code__Numeral_OSuc__code__numeral(_u7224) = c_Code__Numeral_OSuc__code__numeral(_u7226)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_sgn__sgn ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_sgn__sgn-1, axiom, ( ~class_Rings_Olinordered__idom(_u7227) | ( c_Groups_Osgn__class_Osgn(_u7227, c_Groups_Osgn__class_Osgn(_u7227, _u7228)) = c_Groups_Osgn__class_Osgn(_u7227, _u7228)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_sgn__0__0 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_sgn__0__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u7229) | ( c_Groups_Osgn__class_Osgn(_u7229, _u7230) != c_Groups_Ozero__class_Ozero(_u7229)) | ( _u7230 = c_Groups_Ozero__class_Ozero(_u7229)) )).
% 20.36/20.54 cnf(fact_sgn__0__0-2, axiom, ( ~class_Rings_Olinordered__idom(_u7229) | ( _u7230 != c_Groups_Ozero__class_Ozero(_u7229)) | ( c_Groups_Osgn__class_Osgn(_u7229, _u7230) = c_Groups_Ozero__class_Ozero(_u7229)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_sgn0 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_sgn0-1, axiom, ( ~class_Groups_Osgn__if(_u7231) | ( c_Groups_Osgn__class_Osgn(_u7231, c_Groups_Ozero__class_Ozero(_u7231)) = c_Groups_Ozero__class_Ozero(_u7231)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_sgn__times ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_sgn__times-1, axiom, ( ~class_Rings_Olinordered__idom(_u7232) | ( c_Groups_Osgn__class_Osgn(_u7232, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7232), _u7233), _u7234)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7232), c_Groups_Osgn__class_Osgn(_u7232, _u7233)), c_Groups_Osgn__class_Osgn(_u7232, _u7234))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_code__numeral_Osimps_I2_J ( axiom ) converted to clauses:
% 20.36/20.54 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(_u7235)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_code__numeral_Osimps_I3_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_code__numeral_Osimps_I3_J-1, axiom, ( ( c_Code__Numeral_OSuc__code__numeral(_u7236) != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_sgn__less ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_sgn__less-1, axiom, ( ~class_Rings_Olinordered__idom(_u7237) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7237), c_Groups_Osgn__class_Osgn(_u7237, _u7238)), c_Groups_Ozero__class_Ozero(_u7237))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7237), _u7238), c_Groups_Ozero__class_Ozero(_u7237))) )).
% 20.36/20.54 cnf(fact_sgn__less-2, axiom, ( ~class_Rings_Olinordered__idom(_u7237) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7237), _u7238), c_Groups_Ozero__class_Ozero(_u7237))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7237), c_Groups_Osgn__class_Osgn(_u7237, _u7238)), c_Groups_Ozero__class_Ozero(_u7237))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_sgn__greater ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_sgn__greater-1, axiom, ( ~class_Rings_Olinordered__idom(_u7239) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7239), c_Groups_Ozero__class_Ozero(_u7239)), c_Groups_Osgn__class_Osgn(_u7239, _u7240))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7239), c_Groups_Ozero__class_Ozero(_u7239)), _u7240)) )).
% 20.36/20.54 cnf(fact_sgn__greater-2, axiom, ( ~class_Rings_Olinordered__idom(_u7239) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7239), c_Groups_Ozero__class_Ozero(_u7239)), _u7240)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7239), c_Groups_Ozero__class_Ozero(_u7239)), c_Groups_Osgn__class_Osgn(_u7239, _u7240))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_code__numeral_Osize_I4_J ( axiom ) converted to clauses:
% 20.36/20.54 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(_u7241)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), _u7241)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_mult__sgn__abs ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_mult__sgn__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u7242) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7242), c_Groups_Osgn__class_Osgn(_u7242, _u7243)), hAPP(c_Groups_Oabs__class_Oabs(_u7242), _u7243)) = _u7243) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_abs__sgn ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_abs__sgn-1, axiom, ( ~class_Rings_Olinordered__idom(_u7244) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7244), _u7245) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7244), _u7245), c_Groups_Osgn__class_Osgn(_u7244, _u7245))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Suc__code__numeral__minus__one ( axiom ) converted to clauses:
% 20.36/20.54 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(_u7246)), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = _u7246) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_sgn__1__pos ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_sgn__1__pos-1, axiom, ( ~class_Rings_Olinordered__idom(_u7247) | ( c_Groups_Osgn__class_Osgn(_u7247, _u7248) != c_Groups_Oone__class_Oone(_u7247)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7247), c_Groups_Ozero__class_Ozero(_u7247)), _u7248)) )).
% 20.36/20.54 cnf(fact_sgn__1__pos-2, axiom, ( ~class_Rings_Olinordered__idom(_u7247) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7247), c_Groups_Ozero__class_Ozero(_u7247)), _u7248)) | ( c_Groups_Osgn__class_Osgn(_u7247, _u7248) = c_Groups_Oone__class_Oone(_u7247)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_sgn__pos ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_sgn__pos-1, axiom, ( ~class_Rings_Olinordered__idom(_u7249) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7249), c_Groups_Ozero__class_Ozero(_u7249)), _u7250)) | ( c_Groups_Osgn__class_Osgn(_u7249, _u7250) = c_Groups_Oone__class_Oone(_u7249)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_nat__gcd_Osimps ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_nat__gcd_Osimps-1, axiom, ( ( _u7253 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u7255, _u7253) = _u7255) )).
% 20.36/20.54 cnf(fact_nat__gcd_Osimps-2, axiom, ( ( _u7254 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u7256, _u7254) = c_Nitpick_Onat__gcd(_u7254, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7256, _u7254))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_zsgn__def ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_zsgn__def-1, axiom, ( ( _u7258 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u7258) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.54 cnf(fact_zsgn__def-2, axiom, ( ( _u7259 = 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)), _u7259)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u7259) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 20.36/20.54 cnf(fact_zsgn__def-3, axiom, ( ( _u7259 = 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)), _u7259)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u7259) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_sgn__neg ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_sgn__neg-1, axiom, ( ~class_Rings_Olinordered__idom(_u7260) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7260), _u7261), c_Groups_Ozero__class_Ozero(_u7260))) | ( c_Groups_Osgn__class_Osgn(_u7260, _u7261) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7260), c_Groups_Oone__class_Oone(_u7260))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_sgn__1__neg ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_sgn__1__neg-1, axiom, ( ~class_Rings_Olinordered__idom(_u7262) | ( c_Groups_Osgn__class_Osgn(_u7262, _u7263) != hAPP(c_Groups_Ouminus__class_Ouminus(_u7262), c_Groups_Oone__class_Oone(_u7262))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7262), _u7263), c_Groups_Ozero__class_Ozero(_u7262))) )).
% 20.36/20.54 cnf(fact_sgn__1__neg-2, axiom, ( ~class_Rings_Olinordered__idom(_u7262) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7262), _u7263), c_Groups_Ozero__class_Ozero(_u7262))) | ( c_Groups_Osgn__class_Osgn(_u7262, _u7263) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7262), c_Groups_Oone__class_Oone(_u7262))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Nitpick_Oint__gcd__def ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_Nitpick_Oint__gcd__def-1, axiom, ( ( hAPP(hAPP(c_Nitpick_Oint__gcd, _u7264), _u7265) = 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), _u7264)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7265))))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_code__numeral_Osimps_I5_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_code__numeral_Osimps_I5_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u7266, _u7267, _u7268, c_Code__Numeral_OSuc__code__numeral(_u7269)) = hAPP(_u7268, _u7269)) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_compl__unique ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_compl__unique-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u7270) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u7270), _u7271), _u7272) != c_Orderings_Obot__class_Obot(_u7270)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7270), _u7271), _u7272) != c_Orderings_Otop__class_Otop(_u7270)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7270), _u7271) = _u7272) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J ( axiom ) converted to clauses:
% 20.36/20.54 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)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_code__numeral_Osimps_I4_J ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_code__numeral_Osimps_I4_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u7273, _u7274, _u7275, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u7274) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_UNIV__I ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_UNIV__I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u7276), _u7277), c_Orderings_Otop__class_Otop(tc_fun(_u7276, tc_HOL_Obool)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_finite__fun__UNIVD2 ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_finite__fun__UNIVD2-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u7279), c_Orderings_Otop__class_Otop(tc_fun(_u7279, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u7278, _u7279)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u7278, _u7279), tc_HOL_Obool)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_UNIV__not__empty ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_UNIV__not__empty-1, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u7280, tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(_u7280, tc_HOL_Obool))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_finite__UNIV ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_finite__UNIV-1, axiom, ( ~class_Finite__Set_Ofinite(_u7281) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7281), c_Orderings_Otop__class_Otop(tc_fun(_u7281, tc_HOL_Obool)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_subset__UNIV ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_subset__UNIV-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7282, tc_HOL_Obool)), _u7283), c_Orderings_Otop__class_Otop(tc_fun(_u7282, tc_HOL_Obool)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_UNIV__Plus__UNIV ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_UNIV__Plus__UNIV-1, axiom, ( ( c_Sum__Type_OPlus(_u7284, _u7285, c_Orderings_Otop__class_Otop(tc_fun(_u7284, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u7285, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u7284, _u7285), tc_HOL_Obool))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_finite__option__UNIV ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_finite__option__UNIV-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u7287)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u7287), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7287), c_Orderings_Otop__class_Otop(tc_fun(_u7287, tc_HOL_Obool)))) )).
% 20.36/20.54 cnf(fact_finite__option__UNIV-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7288), c_Orderings_Otop__class_Otop(tc_fun(_u7288, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u7288)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u7288), tc_HOL_Obool)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_finite__Prod__UNIV ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_finite__Prod__UNIV-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7289), c_Orderings_Otop__class_Otop(tc_fun(_u7289, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7290), c_Orderings_Otop__class_Otop(tc_fun(_u7290, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u7289, _u7290)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u7289, _u7290), tc_HOL_Obool)))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_Union__UNIV ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_Union__UNIV-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u7291, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u7291, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u7291, tc_HOL_Obool))) )).
% 20.36/20.54
% 20.36/20.54 % Formula: fact_top__apply ( axiom ) converted to clauses:
% 20.36/20.54 cnf(fact_top__apply-1, axiom, ( ~class_Orderings_Otop(_u7292) | ( hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u7293, _u7292)), _u7294) = c_Orderings_Otop__class_Otop(_u7292)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Sup__UNIV ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Sup__UNIV-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7295) | ( c_Complete__Lattice_OSup__class_OSup(_u7295, c_Orderings_Otop__class_Otop(tc_fun(_u7295, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u7295)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Int__UNIV__right ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Int__UNIV__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7296, tc_HOL_Obool)), _u7297), c_Orderings_Otop__class_Otop(tc_fun(_u7296, tc_HOL_Obool))) = _u7297) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Int__UNIV__left ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Int__UNIV__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7298, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u7298, tc_HOL_Obool))), _u7299) = _u7299) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Un__UNIV__right ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Un__UNIV__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7300, tc_HOL_Obool)), _u7301), c_Orderings_Otop__class_Otop(tc_fun(_u7300, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u7300, tc_HOL_Obool))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Un__UNIV__left ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Un__UNIV__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7302, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u7302, tc_HOL_Obool))), _u7303) = c_Orderings_Otop__class_Otop(tc_fun(_u7302, tc_HOL_Obool))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Pow__UNIV ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Pow__UNIV-1, axiom, ( ( hAPP(c_Set_OPow(_u7304), c_Orderings_Otop__class_Otop(tc_fun(_u7304, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u7304, tc_HOL_Obool), tc_HOL_Obool))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_card__UNIV__unit ( axiom ) converted to clauses:
% 20.36/20.55 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)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_finite__Plus__UNIV__iff ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_finite__Plus__UNIV__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u7307, _u7309)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u7307, _u7309), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7307), c_Orderings_Otop__class_Otop(tc_fun(_u7307, tc_HOL_Obool)))) )).
% 20.36/20.55 cnf(fact_finite__Plus__UNIV__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u7307, _u7309)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u7307, _u7309), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7309), c_Orderings_Otop__class_Otop(tc_fun(_u7309, tc_HOL_Obool)))) )).
% 20.36/20.55 cnf(fact_finite__Plus__UNIV__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7308), c_Orderings_Otop__class_Otop(tc_fun(_u7308, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7310), c_Orderings_Otop__class_Otop(tc_fun(_u7310, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u7308, _u7310)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u7308, _u7310), tc_HOL_Obool)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_vimage__UNIV ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_vimage__UNIV-1, axiom, ( ( hAPP(c_Set_Ovimage(_u7311, _u7312, _u7313), c_Orderings_Otop__class_Otop(tc_fun(_u7312, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u7311, tc_HOL_Obool))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J ( axiom ) converted to clauses:
% 20.36/20.55 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)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u7314) | ~c_Nat__Transfer_Ois__nat(_u7315) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7314), _u7315)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J ( axiom ) converted to clauses:
% 20.36/20.55 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), _u7316)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J ( axiom ) converted to clauses:
% 20.36/20.55 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)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u7317) | ~c_Nat__Transfer_Ois__nat(_u7318) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7317), _u7318)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Divides_Otransfer__int__nat__function__closures_I2_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Divides_Otransfer__int__nat__function__closures_I2_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u7319) | ~c_Nat__Transfer_Ois__nat(_u7320) | c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7319, _u7320)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Divides_Otransfer__int__nat__function__closures_I1_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Divides_Otransfer__int__nat__function__closures_I1_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u7321) | ~c_Nat__Transfer_Ois__nat(_u7322) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7321), _u7322)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_top__greatest ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_top__greatest-1, axiom, ( ~class_Orderings_Otop(_u7323) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7323), _u7324), c_Orderings_Otop__class_Otop(_u7323))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_sup__top__right ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_sup__top__right-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u7325) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7325), _u7326), c_Orderings_Otop__class_Otop(_u7325)) = c_Orderings_Otop__class_Otop(_u7325)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_sup__top__left ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_sup__top__left-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u7327) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7327), c_Orderings_Otop__class_Otop(_u7327)), _u7328) = c_Orderings_Otop__class_Otop(_u7327)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_inf__top__left ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_inf__top__left-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u7329) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u7329), c_Orderings_Otop__class_Otop(_u7329)), _u7330) = _u7330) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_inf__top__right ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_inf__top__right-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u7331) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u7331), _u7332), c_Orderings_Otop__class_Otop(_u7331)) = _u7332) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_inf__eq__top__iff ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_inf__eq__top__iff-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u7333) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u7333), _u7334), _u7335) != c_Orderings_Otop__class_Otop(_u7333)) | ( _u7334 = c_Orderings_Otop__class_Otop(_u7333)) )).
% 20.36/20.55 cnf(fact_inf__eq__top__iff-2, axiom, ( ~class_Lattices_Obounded__lattice__top(_u7333) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u7333), _u7334), _u7335) != c_Orderings_Otop__class_Otop(_u7333)) | ( _u7335 = c_Orderings_Otop__class_Otop(_u7333)) )).
% 20.36/20.55 cnf(fact_inf__eq__top__iff-3, axiom, ( ~class_Lattices_Obounded__lattice__top(_u7333) | ( _u7334 != c_Orderings_Otop__class_Otop(_u7333)) | ( _u7335 != c_Orderings_Otop__class_Otop(_u7333)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u7333), _u7334), _u7335) = c_Orderings_Otop__class_Otop(_u7333)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u7336) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u7336), _u7337)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Diff__UNIV ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Diff__UNIV-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7338, tc_HOL_Obool)), _u7339), c_Orderings_Otop__class_Otop(tc_fun(_u7338, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u7338, tc_HOL_Obool))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u7340) | ~c_Nat__Transfer_Ois__nat(_u7341) | c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(_u7340, _u7341)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_card__eq__UNIV__imp__eq__UNIV ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_card__eq__UNIV__imp__eq__UNIV-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7342), c_Orderings_Otop__class_Otop(tc_fun(_u7342, tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u7342), _u7343) != hAPP(c_Finite__Set_Ocard(_u7342), c_Orderings_Otop__class_Otop(tc_fun(_u7342, tc_HOL_Obool)))) | ( _u7343 = c_Orderings_Otop__class_Otop(tc_fun(_u7342, tc_HOL_Obool))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Compl__empty__eq ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Compl__empty__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7344, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u7344, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u7344, tc_HOL_Obool))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Compl__UNIV__eq ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Compl__UNIV__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7345, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u7345, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u7345, tc_HOL_Obool))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_finite__compl ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_finite__compl-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7346), _u7347)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7346), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7346, tc_HOL_Obool)), _u7347))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7346), c_Orderings_Otop__class_Otop(tc_fun(_u7346, tc_HOL_Obool)))) )).
% 20.36/20.55 cnf(fact_finite__compl-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7346), _u7347)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7346), c_Orderings_Otop__class_Otop(tc_fun(_u7346, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7346), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7346, tc_HOL_Obool)), _u7347))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Compl__partition2 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Compl__partition2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7348, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7348, tc_HOL_Obool)), _u7349)), _u7349) = c_Orderings_Otop__class_Otop(tc_fun(_u7348, tc_HOL_Obool))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Compl__partition ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Compl__partition-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7350, tc_HOL_Obool)), _u7351), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7350, tc_HOL_Obool)), _u7351)) = c_Orderings_Otop__class_Otop(tc_fun(_u7350, tc_HOL_Obool))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Compl__eq__Diff__UNIV ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Compl__eq__Diff__UNIV-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7352, tc_HOL_Obool)), _u7353) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7352, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u7352, tc_HOL_Obool))), _u7353)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_is__nat__def ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_is__nat__def-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u7355) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7355)) )).
% 20.36/20.55 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)), _u7356)) | c_Nat__Transfer_Ois__nat(_u7356) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_compl__bot__eq ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_compl__bot__eq-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u7357) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7357), c_Orderings_Obot__class_Obot(_u7357)) = c_Orderings_Otop__class_Otop(_u7357)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_compl__top__eq ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_compl__top__eq-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u7358) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7358), c_Orderings_Otop__class_Otop(_u7358)) = c_Orderings_Obot__class_Obot(_u7358)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_sup__compl__top ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_sup__compl__top-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u7359) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7359), _u7360), hAPP(c_Groups_Ouminus__class_Ouminus(_u7359), _u7360)) = c_Orderings_Otop__class_Otop(_u7359)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_compl__sup__top ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_compl__sup__top-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u7361) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7361), hAPP(c_Groups_Ouminus__class_Ouminus(_u7361), _u7362)), _u7362) = c_Orderings_Otop__class_Otop(_u7361)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J ( axiom ) converted to clauses:
% 20.36/20.55 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)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_finite__UNIV__card__ge__0 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_finite__UNIV__card__ge__0-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7363), c_Orderings_Otop__class_Otop(tc_fun(_u7363, 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(_u7363), c_Orderings_Otop__class_Otop(tc_fun(_u7363, tc_HOL_Obool))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_card__UNIV__bool ( axiom ) converted to clauses:
% 20.36/20.55 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)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_finite__fun__UNIVD1 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_finite__fun__UNIVD1-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u7364, _u7365)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u7364, _u7365), tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u7365), c_Orderings_Otop__class_Otop(tc_fun(_u7365, tc_HOL_Obool))) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7364), c_Orderings_Otop__class_Otop(tc_fun(_u7364, tc_HOL_Obool)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Inf__fold__inf ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Inf__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7366) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7366), _u7367)) | ( c_Complete__Lattice_OInf__class_OInf(_u7366, _u7367) = hAPP(hAPP(c_Finite__Set_Ofold(_u7366, _u7366, c_Lattices_Osemilattice__inf__class_Oinf(_u7366)), c_Orderings_Otop__class_Otop(_u7366)), _u7367)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_nat__mod__eq__lemma ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_nat__mod__eq__lemma-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7369, _u7370) != c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7371, _u7370)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7371), _u7369)) | ( _u7369 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7371), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7370), skolem150(_u7371, _u7370, _u7369)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_mod__induct__0 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_mod__induct__0-1, axiom, ( ~hBOOL(hAPP(_u7374, _u7375)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7375), _u7373)) | hBOOL(hAPP(_u7374, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem151(_u7375, _u7374, _u7373)), _u7373)) )).
% 20.36/20.55 cnf(fact_mod__induct__0-2, axiom, ( ~hBOOL(hAPP(_u7374, _u7375)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7375), _u7373)) | hBOOL(hAPP(_u7374, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u7374, skolem151(_u7375, _u7374, _u7373))) )).
% 20.36/20.55 cnf(fact_mod__induct__0-3, axiom, ( ~hBOOL(hAPP(_u7374, _u7375)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7375), _u7373)) | hBOOL(hAPP(_u7374, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u7374, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, skolem151(_u7375, _u7374, _u7373)), _u7373))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_log_Osimps ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_log_Osimps-1, axiom, ( ( c_Random_Olog(_u7378, _u7380) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u7378), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 20.36/20.55 cnf(fact_log_Osimps-2, axiom, ( ( c_Random_Olog(_u7378, _u7380) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u7380), _u7378)) )).
% 20.36/20.55 cnf(fact_log_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u7379), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u7381), _u7379)) | ( c_Random_Olog(_u7379, _u7381) = 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(_u7379, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u7381), _u7379)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_finite__Inter ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_finite__Inter-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u7383, tc_HOL_Obool)), _u7382), _u7384)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7383), _u7382)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7383), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7383, tc_HOL_Obool), _u7384))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_top1I ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_top1I-1, axiom, ( hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u7385, tc_HOL_Obool)), _u7386)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_InterD ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_InterD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7387), _u7388), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7387, tc_HOL_Obool), _u7389))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u7387, tc_HOL_Obool)), _u7390), _u7389)) | hBOOL(hAPP(hAPP(c_member(_u7387), _u7388), _u7390)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_InterE ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_InterE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7391), _u7392), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7391, tc_HOL_Obool), _u7393))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u7391, tc_HOL_Obool)), _u7394), _u7393)) | hBOOL(hAPP(hAPP(c_member(_u7391), _u7392), _u7394)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Inter__UNIV ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Inter__UNIV-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7395, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u7395, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u7395, tc_HOL_Obool))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Inter__empty ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Inter__empty-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7396, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u7396, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u7396, tc_HOL_Obool))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_le__Inf__iff ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_le__Inf__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7399) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7399), _u7400), c_Complete__Lattice_OInf__class_OInf(_u7399, _u7401))) | ~hBOOL(hAPP(hAPP(c_member(_u7399), _u7397), _u7401)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7399), _u7400), _u7397)) )).
% 20.36/20.55 cnf(fact_le__Inf__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7399) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7399), _u7400), c_Complete__Lattice_OInf__class_OInf(_u7399, _u7401))) | hBOOL(hAPP(hAPP(c_member(_u7399), skolem152(_u7401, _u7400, _u7399)), _u7401)) )).
% 20.36/20.55 cnf(fact_le__Inf__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7399) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7399), _u7400), c_Complete__Lattice_OInf__class_OInf(_u7399, _u7401))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7399), _u7400), skolem152(_u7401, _u7400, _u7399))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Inf__less__iff ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Inf__less__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7404) | ~class_Orderings_Olinorder(_u7404) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7404), c_Complete__Lattice_OInf__class_OInf(_u7404, _u7405)), _u7406)) | hBOOL(hAPP(hAPP(c_member(_u7404), skolem153(_u7406, _u7405, _u7404)), _u7405)) )).
% 20.36/20.55 cnf(fact_Inf__less__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7404) | ~class_Orderings_Olinorder(_u7404) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7404), c_Complete__Lattice_OInf__class_OInf(_u7404, _u7405)), _u7406)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7404), skolem153(_u7406, _u7405, _u7404)), _u7406)) )).
% 20.36/20.55 cnf(fact_Inf__less__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7404) | ~class_Orderings_Olinorder(_u7404) | ~hBOOL(hAPP(hAPP(c_member(_u7404), _u7403), _u7405)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7404), _u7403), _u7406)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7404), c_Complete__Lattice_OInf__class_OInf(_u7404, _u7405)), _u7406)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Inf__UNIV ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Inf__UNIV-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7407) | ( c_Complete__Lattice_OInf__class_OInf(_u7407, c_Orderings_Otop__class_Otop(tc_fun(_u7407, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u7407)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Inter__lower ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Inter__lower-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u7408, tc_HOL_Obool)), _u7409), _u7410)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7408, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7408, tc_HOL_Obool), _u7410)), _u7409)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Inter__anti__mono ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Inter__anti__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u7411, tc_HOL_Obool), tc_HOL_Obool)), _u7412), _u7413)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7411, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7411, tc_HOL_Obool), _u7413)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7411, tc_HOL_Obool), _u7412))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Inter__insert ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Inter__insert-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7414, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u7414, tc_HOL_Obool)), _u7415), _u7416)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7414, tc_HOL_Obool)), _u7415), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7414, tc_HOL_Obool), _u7416))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Inf__lower ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Inf__lower-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7417) | ~hBOOL(hAPP(hAPP(c_member(_u7417), _u7418), _u7419)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7417), c_Complete__Lattice_OInf__class_OInf(_u7417, _u7419)), _u7418)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Inter__Un__distrib ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Inter__Un__distrib-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7420, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u7420, tc_HOL_Obool), tc_HOL_Obool)), _u7421), _u7422)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7420, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7420, tc_HOL_Obool), _u7421)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7420, tc_HOL_Obool), _u7422))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Inf__singleton ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Inf__singleton-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7423) | ( c_Complete__Lattice_OInf__class_OInf(_u7423, hAPP(hAPP(c_Set_Oinsert(_u7423), _u7424), c_Orderings_Obot__class_Obot(tc_fun(_u7423, tc_HOL_Obool)))) = _u7424) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Inf__empty ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Inf__empty-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7425) | ( c_Complete__Lattice_OInf__class_OInf(_u7425, c_Orderings_Obot__class_Obot(tc_fun(_u7425, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u7425)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Inf__insert ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Inf__insert-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7426) | ( c_Complete__Lattice_OInf__class_OInf(_u7426, hAPP(hAPP(c_Set_Oinsert(_u7426), _u7427), _u7428)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u7426), _u7427), c_Complete__Lattice_OInf__class_OInf(_u7426, _u7428))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Int__eq__Inter ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Int__eq__Inter-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7429, tc_HOL_Obool)), _u7430), _u7431) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7429, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u7429, tc_HOL_Obool)), _u7430), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u7429, tc_HOL_Obool)), _u7431), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u7429, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Inter__Un__subset ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Inter__Un__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7432, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7432, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7432, tc_HOL_Obool), _u7433)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7432, tc_HOL_Obool), _u7434))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7432, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u7432, tc_HOL_Obool), tc_HOL_Obool)), _u7433), _u7434)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Inf__binary ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Inf__binary-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7435) | ( c_Complete__Lattice_OInf__class_OInf(_u7435, hAPP(hAPP(c_Set_Oinsert(_u7435), _u7436), hAPP(hAPP(c_Set_Oinsert(_u7435), _u7437), c_Orderings_Obot__class_Obot(tc_fun(_u7435, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u7435), _u7436), _u7437)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_inf__Inf__fold__inf ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_inf__Inf__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7438) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7438), _u7439)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u7438), _u7440), c_Complete__Lattice_OInf__class_OInf(_u7438, _u7439)) = hAPP(hAPP(c_Finite__Set_Ofold(_u7438, _u7438, c_Lattices_Osemilattice__inf__class_Oinf(_u7438)), _u7440), _u7439)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Inf__fin__Inf ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Inf__fin__Inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7441) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7441), _u7442)) | ( _u7442 = c_Orderings_Obot__class_Obot(tc_fun(_u7441, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u7441, _u7442) = c_Complete__Lattice_OInf__class_OInf(_u7441, _u7442)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_minus__shift__def ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_minus__shift__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u7446), _u7448)) | ( c_Random_Ominus__shift(_u7450, _u7446, _u7448) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u7450), _u7446)), _u7448)) )).
% 20.36/20.55 cnf(fact_minus__shift__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u7447), _u7449)) | ( c_Random_Ominus__shift(_u7451, _u7447, _u7449) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u7447), _u7449)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_inc__shift__def ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_inc__shift__def-1, axiom, ( ( _u7454 != _u7456) | ( c_Random_Oinc__shift(_u7454, _u7456) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) )).
% 20.36/20.55 cnf(fact_inc__shift__def-2, axiom, ( ( _u7455 = _u7457) | ( c_Random_Oinc__shift(_u7455, _u7457) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u7457), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_iso__tuple__UNIV__I ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_iso__tuple__UNIV__I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u7458), _u7459), c_Orderings_Otop__class_Otop(tc_fun(_u7458, tc_HOL_Obool)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_mod__div__decomp ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_mod__div__decomp-1, axiom, ( ~class_Divides_Osemiring__div(_u7460) | ( _u7461 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7460), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7460), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7460), _u7461), _u7462)), _u7462)), c_Divides_Odiv__class_Omod(_u7460, _u7461, _u7462))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Inter__subset ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Inter__subset-1, axiom, ( ( _u7465 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u7464, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7464, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7464, tc_HOL_Obool), _u7465)), _u7466)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u7464, tc_HOL_Obool)), skolem154(_u7466, _u7465, _u7464)), _u7465)) )).
% 20.36/20.55 cnf(fact_Inter__subset-2, axiom, ( ( _u7465 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u7464, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7464, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7464, tc_HOL_Obool), _u7465)), _u7466)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7464, tc_HOL_Obool)), skolem154(_u7466, _u7465, _u7464)), _u7466)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_InterI ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_InterI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u7468), _u7470), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7468, tc_HOL_Obool), _u7469))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u7468, tc_HOL_Obool)), skolem155(_u7470, _u7469, _u7468)), _u7469)) )).
% 20.36/20.55 cnf(fact_InterI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u7468), _u7470), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7468, tc_HOL_Obool), _u7469))) | ~hBOOL(hAPP(hAPP(c_member(_u7468), _u7470), skolem155(_u7470, _u7469, _u7468))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_com_Osize_I14_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_com_Osize_I14_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OWhile(_u7471, _u7472)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u7472)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_com_Osize_I6_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_com_Osize_I6_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OWhile(_u7473, _u7474)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Com_Ocom_Ocom__size(_u7474)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_com_Osimps_I5_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_com_Osimps_I5_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u7479, _u7481) != c_Com_Ocom_OWhile(_u7483, _u7485)) | ( _u7479 = _u7483) )).
% 20.36/20.55 cnf(fact_com_Osimps_I5_J-2, axiom, ( ( c_Com_Ocom_OWhile(_u7479, _u7481) != c_Com_Ocom_OWhile(_u7483, _u7485)) | ( _u7481 = _u7485) )).
% 20.36/20.55 cnf(fact_com_Osimps_I5_J-3, axiom, ( ( _u7480 != _u7484) | ( _u7482 != _u7486) | ( c_Com_Ocom_OWhile(_u7480, _u7482) = c_Com_Ocom_OWhile(_u7484, _u7486)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_com_Osimps_I52_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_com_Osimps_I52_J-1, axiom, ( ( c_Com_Ocom_OCond(_u7487, _u7488, _u7489) != c_Com_Ocom_OWhile(_u7490, _u7491)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_com_Osimps_I53_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_com_Osimps_I53_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u7492, _u7493) != c_Com_Ocom_OCond(_u7494, _u7495, _u7496)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_com_Osimps_I46_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_com_Osimps_I46_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u7497, _u7498) != c_Com_Ocom_OWhile(_u7499, _u7500)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_com_Osimps_I47_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_com_Osimps_I47_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u7501, _u7502) != c_Com_Ocom_OSemi(_u7503, _u7504)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_com_Osimps_I38_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_com_Osimps_I38_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u7505, _u7506, _u7507) != c_Com_Ocom_OWhile(_u7508, _u7509)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_com_Osimps_I39_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_com_Osimps_I39_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u7510, _u7511) != c_Com_Ocom_OLocal(_u7512, _u7513, _u7514)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_com_Osimps_I16_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_com_Osimps_I16_J-1, axiom, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(_u7515, _u7516)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_com_Osimps_I17_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_com_Osimps_I17_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u7517, _u7518) != c_Com_Ocom_OSKIP) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_minus__code__numeral__code ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_minus__code__numeral__code-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u7519), _u7520) = hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, _u7519), _u7520)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_subtract__code__numeral__def ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_subtract__code__numeral__def-1, axiom, ( ( c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_pair__box_Osize_I1_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_pair__box_Osize_I1_J-1, axiom, ( ( c_Nitpick_Opair__box_Opair__box__size(_u7521, _u7522, _u7523, _u7524, c_Nitpick_Opair__box_OPairBox(_u7521, _u7522, _u7525, _u7526)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u7523, _u7525)), hAPP(_u7524, _u7526))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_negDivAlg__eqn__1__number__of ( axiom ) converted to clauses:
% 20.36/20.55 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), _u7527))) | ~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), _u7527)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7527)) = 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), _u7527)))) )).
% 20.36/20.55 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), _u7527))) | 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), _u7527)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7527)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7527)), 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), _u7527))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_pair__box_Oinject ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_pair__box_Oinject-1, axiom, ( ( c_Nitpick_Opair__box_OPairBox(_u7534, _u7536, _u7538, _u7540) != c_Nitpick_Opair__box_OPairBox(_u7534, _u7536, _u7542, _u7544)) | ( _u7538 = _u7542) )).
% 20.36/20.55 cnf(fact_pair__box_Oinject-2, axiom, ( ( c_Nitpick_Opair__box_OPairBox(_u7534, _u7536, _u7538, _u7540) != c_Nitpick_Opair__box_OPairBox(_u7534, _u7536, _u7542, _u7544)) | ( _u7540 = _u7544) )).
% 20.36/20.55 cnf(fact_pair__box_Oinject-3, axiom, ( ( _u7539 != _u7543) | ( _u7541 != _u7545) | ( c_Nitpick_Opair__box_OPairBox(_u7535, _u7537, _u7539, _u7541) = c_Nitpick_Opair__box_OPairBox(_u7535, _u7537, _u7543, _u7545)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_negDivAlg__div__mod ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_negDivAlg__div__mod-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7546), 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)), _u7547)) | ( c_Divides_OnegDivAlg(_u7546, _u7547) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7546), _u7547)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7546, _u7547))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_negDivAlg__minus1 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_negDivAlg__minus1-1, axiom, ( ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u7548) = 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), _u7548), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_negDivAlg_Osimps ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_negDivAlg_Osimps-1, axiom, ( ( c_Divides_OnegDivAlg(_u7551, _u7553) = 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), _u7551), _u7553))) | ~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), _u7551), _u7553))) )).
% 20.36/20.55 cnf(fact_negDivAlg_Osimps-2, axiom, ( ( c_Divides_OnegDivAlg(_u7551, _u7553) = 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), _u7551), _u7553))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7553), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.55 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), _u7552), _u7554))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7554), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u7552, _u7554) = hAPP(c_Divides_Oadjust(_u7554), c_Divides_OnegDivAlg(_u7552, 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)))), _u7554)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_negDivAlg__eqn ( axiom ) converted to clauses:
% 20.36/20.55 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)), _u7555)) | ~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), _u7556), _u7555))) | ( c_Divides_OnegDivAlg(_u7556, _u7555) = 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), _u7556), _u7555))) )).
% 20.36/20.55 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)), _u7555)) | 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), _u7556), _u7555))) | ( c_Divides_OnegDivAlg(_u7556, _u7555) = hAPP(c_Divides_Oadjust(_u7555), c_Divides_OnegDivAlg(_u7556, 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)))), _u7555)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_negDivAlg__eqn__number__of ( axiom ) converted to clauses:
% 20.36/20.55 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), _u7557))) | ~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), _u7558)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7557)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7558), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7557)) = 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), _u7558)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7557)))) )).
% 20.36/20.55 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), _u7557))) | 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), _u7558)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7557)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7558), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7557)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7557)), c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7558), 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), _u7557))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_posDivAlg__eqn__1__number__of ( axiom ) converted to clauses:
% 20.36/20.55 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), _u7559))) | ~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), _u7559))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7559)) = 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))) )).
% 20.36/20.55 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), _u7559))) | 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), _u7559))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7559)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7559)), 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), _u7559))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_posDivAlg_Osimps ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_posDivAlg_Osimps-1, axiom, ( ( c_Divides_OposDivAlg(_u7562, _u7564) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7562)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7562), _u7564)) )).
% 20.36/20.55 cnf(fact_posDivAlg_Osimps-2, axiom, ( ( c_Divides_OposDivAlg(_u7562, _u7564) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7562)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7564), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.55 cnf(fact_posDivAlg_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7563), _u7565)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7565), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u7563, _u7565) = hAPP(c_Divides_Oadjust(_u7565), c_Divides_OposDivAlg(_u7563, 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)))), _u7565)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_in__rel__def ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_in__rel__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u7571, _u7573, _u7575), _u7577), _u7579)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7571, _u7573)), hAPP(hAPP(c_Product__Type_OPair(_u7571, _u7573), _u7577), _u7579)), _u7575)) )).
% 20.36/20.55 cnf(fact_in__rel__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7572, _u7574)), hAPP(hAPP(c_Product__Type_OPair(_u7572, _u7574), _u7578), _u7580)), _u7576)) | hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u7572, _u7574, _u7576), _u7578), _u7580)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_posDivAlg__eqn__number__of ( axiom ) converted to clauses:
% 20.36/20.55 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), _u7581))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7582)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7581))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7582), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7581)) = 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), _u7582))) )).
% 20.36/20.55 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), _u7581))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7582)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7581))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7582), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7581)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7581)), c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7582), 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), _u7581))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_posDivAlg__0 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_posDivAlg__0-1, axiom, ( ( c_Divides_OposDivAlg(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u7583) = 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))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_posDivAlg__div__mod ( axiom ) converted to clauses:
% 20.36/20.55 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)), _u7584)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7585)) | ( c_Divides_OposDivAlg(_u7584, _u7585) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7584), _u7585)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7584, _u7585))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_posDivAlg__eqn ( axiom ) converted to clauses:
% 20.36/20.55 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)), _u7586)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7587), _u7586)) | ( c_Divides_OposDivAlg(_u7587, _u7586) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7587)) )).
% 20.36/20.55 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)), _u7586)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7587), _u7586)) | ( c_Divides_OposDivAlg(_u7587, _u7586) = hAPP(c_Divides_Oadjust(_u7586), c_Divides_OposDivAlg(_u7587, 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)))), _u7586)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_div__mod__code__numeral__def ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_div__mod__code__numeral__def-1, axiom, ( ( c_Code__Numeral_Odiv__mod__code__numeral(_u7588, _u7589) = 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), _u7588), _u7589)), c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u7588, _u7589))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Nitpick_Orefl_H__def ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Nitpick_Orefl_H__def-1, axiom, ( ~c_Nitpick_Orefl_H(_u7594, _u7596) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7594, _u7594)), hAPP(hAPP(c_Product__Type_OPair(_u7594, _u7594), _u7590), _u7590)), _u7596)) )).
% 20.36/20.55 cnf(fact_Nitpick_Orefl_H__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7595, _u7595)), hAPP(hAPP(c_Product__Type_OPair(_u7595, _u7595), skolem156(_u7597, _u7595)), skolem156(_u7597, _u7595))), _u7597)) | c_Nitpick_Orefl_H(_u7595, _u7597) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_divmod__nat__step ( axiom ) converted to clauses:
% 20.36/20.55 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)), _u7598)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7598), _u7599)) | ( c_Divides_Odivmod__nat(_u7599, _u7598) = 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), _u7599), _u7598)), _u7598))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7599), _u7598), _u7598))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_pair__box_Osize_I2_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_pair__box_Osize_I2_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nitpick_Opair__box(_u7600, _u7601)), c_Nitpick_Opair__box_OPairBox(_u7600, _u7601, _u7602, _u7603)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_divmod__nat__zero ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_divmod__nat__zero-1, axiom, ( ( c_Divides_Odivmod__nat(_u7604, 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)), _u7604)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_divmod__nat__base ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_divmod__nat__base-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7605), _u7606)) | ( c_Divides_Odivmod__nat(_u7605, _u7606) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7605)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_divmod__nat__div__mod ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_divmod__nat__div__mod-1, axiom, ( ( c_Divides_Odivmod__nat(_u7607, _u7608) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7607), _u7608)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7607, _u7608))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_divmod__nat__rel__mult1__eq ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_divmod__nat__rel__mult1__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7609, _u7610), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7611), _u7612))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7610)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7613), _u7609), _u7610), 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), _u7613), _u7611)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7613), _u7612)), _u7610))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7613), _u7612), _u7610)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_divmod__nat__rel__mult2__eq ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_divmod__nat__rel__mult2__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7614, _u7615), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7616), _u7617))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7615)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7618)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7614, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7615), _u7618)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7616), _u7618)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7615), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7616, _u7618))), _u7617)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_pair__box_Orecs ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_pair__box_Orecs-1, axiom, ( ( c_Nitpick_Opair__box_Opair__box__rec(_u7619, _u7620, _u7621, _u7622, c_Nitpick_Opair__box_OPairBox(_u7619, _u7620, _u7623, _u7624)) = hAPP(hAPP(_u7622, _u7623), _u7624)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_pair__box_Osimps_I2_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_pair__box_Osimps_I2_J-1, axiom, ( ( c_Nitpick_Opair__box_Opair__box__case(_u7625, _u7626, _u7627, _u7628, c_Nitpick_Opair__box_OPairBox(_u7625, _u7626, _u7629, _u7630)) = hAPP(hAPP(_u7628, _u7629), _u7630)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_divmod__nat__rel__unique ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_divmod__nat__rel__unique-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7631, _u7632), _u7633)) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7631, _u7632), _u7634)) | ( _u7633 = _u7634) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_divmod__nat__eq ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_divmod__nat__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7635, _u7636), _u7637)) | ( c_Divides_Odivmod__nat(_u7635, _u7636) = _u7637) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_divmod__nat__rel__divmod__nat ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_divmod__nat__rel__divmod__nat-1, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7638, _u7639), c_Divides_Odivmod__nat(_u7638, _u7639))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_mod__eq ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_mod__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7640, _u7641), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7642), _u7643))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7640, _u7641) = _u7643) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_div__eq ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_div__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7644, _u7645), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7646), _u7647))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7644), _u7645) = _u7646) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_divmod__nat__rel ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_divmod__nat__rel-1, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7648, _u7649), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7648), _u7649)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7648, _u7649)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_divmod__nat__rel__add1__eq ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_divmod__nat__rel__add1__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7650, _u7651), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7652), _u7653))) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7654, _u7651), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7655), _u7656))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7651)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7650), _u7654), _u7651), 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), _u7652), _u7655)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7653), _u7656)), _u7651))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7653), _u7656), _u7651)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_negDivAlg_Opsimps ( axiom ) converted to clauses:
% 20.36/20.55 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), _u7657), _u7658))) | ( c_Divides_OnegDivAlg(_u7657, _u7658) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7657), _u7658))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7657), _u7658))) )).
% 20.36/20.55 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), _u7657), _u7658))) | ( c_Divides_OnegDivAlg(_u7657, _u7658) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7657), _u7658))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7658), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.55 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), _u7657), _u7658))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7657), _u7658))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7658), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u7657, _u7658) = hAPP(c_Divides_Oadjust(_u7658), c_Divides_OnegDivAlg(_u7657, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u7658)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_pdivmod__posDivAlg ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_pdivmod__posDivAlg-1, axiom, ( ( _u7661 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u7663, _u7661) = 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), _u7663))) )).
% 20.36/20.55 cnf(fact_pdivmod__posDivAlg-2, axiom, ( ( _u7662 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u7664, _u7662) = c_Divides_OposDivAlg(hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7664), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7662))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_pdivmod__def ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_pdivmod__def-1, axiom, ( ( c_Divides_Opdivmod(_u7665, _u7666) = 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), _u7665)), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7666))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7665), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7666)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_zmult2__lemma ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_zmult2__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7667, _u7668), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7669), _u7670))) | ( _u7668 = 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)), _u7671)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7667, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7668), _u7671)), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7669), _u7671)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7668), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7669, _u7671))), _u7670)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_unique__remainder ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_unique__remainder-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7672, _u7673), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7674), _u7675))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7672, _u7673), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7676), _u7677))) | ( _u7673 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7675 = _u7677) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_unique__quotient ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_unique__quotient-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7678, _u7679), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7680), _u7681))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7678, _u7679), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7682), _u7683))) | ( _u7679 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7680 = _u7682) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_self__remainder ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_self__remainder-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7684, _u7684), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7685), _u7686))) | ( _u7684 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7686 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_divmod__int__rel__0 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_divmod__int__rel__0-1, axiom, ( ( _u7687 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u7687), 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)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_self__quotient ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_self__quotient-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7688, _u7688), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7689), _u7690))) | ( _u7688 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7689 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_divmod__int__rel__mod ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_divmod__int__rel__mod-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7691, _u7692), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7693), _u7694))) | ( _u7692 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7691, _u7692) = _u7694) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_divmod__int__rel__div ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_divmod__int__rel__div-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7695, _u7696), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7697), _u7698))) | ( _u7696 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7695), _u7696) = _u7697) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_negDivAlg__correct ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_negDivAlg__correct-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7699), 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)), _u7700)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7699, _u7700), c_Divides_OnegDivAlg(_u7699, _u7700))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_divmod__int__rel__div__mod ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_divmod__int__rel__div__mod-1, axiom, ( ( _u7701 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7702, _u7701), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7702), _u7701)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7702, _u7701)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_posDivAlg__correct ( axiom ) converted to clauses:
% 20.36/20.55 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)), _u7703)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7704)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7703, _u7704), c_Divides_OposDivAlg(_u7703, _u7704))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_zadd1__lemma ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_zadd1__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7705, _u7706), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7707), _u7708))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7709, _u7706), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7710), _u7711))) | ( _u7706 = 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), _u7705), _u7709), _u7706), 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), _u7707), _u7710)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7708), _u7711)), _u7706))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7708), _u7711), _u7706)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_zminus1__lemma ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_zminus1__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7712, _u7713), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7714), _u7715))) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7712), _u7713), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u7715), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7714)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7714)), c_Groups_Oone__class_Oone(tc_Int_Oint)))), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u7715), 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), _u7713), _u7715))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_divmod__int__relI ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_divmod__int__relI-1, axiom, ( ( _u7716 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7717), _u7718)), _u7719)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7716, _u7717), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7718), _u7719))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7717)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7717), _u7719)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7719), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.55 cnf(fact_divmod__int__relI-2, axiom, ( ( _u7716 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7717), _u7718)), _u7719)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7716, _u7717), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7718), _u7719))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7719)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7719), _u7717)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7717)) )).
% 20.36/20.55 cnf(fact_divmod__int__relI-3, axiom, ( ( _u7716 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7717), _u7718)), _u7719)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7716, _u7717), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7718), _u7719))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7719)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7719), _u7717)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7717), _u7719)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7719), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_zmult1__lemma ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_zmult1__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7720, _u7721), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7722), _u7723))) | ( _u7721 = 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), _u7724), _u7720), _u7721), 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), _u7724), _u7722)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7724), _u7723)), _u7721))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7724), _u7723), _u7721)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_posDivAlg_Opsimps ( axiom ) converted to clauses:
% 20.36/20.55 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), _u7725), _u7726))) | ( c_Divides_OposDivAlg(_u7725, _u7726) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7725)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7725), _u7726)) )).
% 20.36/20.55 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), _u7725), _u7726))) | ( c_Divides_OposDivAlg(_u7725, _u7726) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7725)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7726), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.55 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), _u7725), _u7726))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7725), _u7726)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7726), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u7725, _u7726) = hAPP(c_Divides_Oadjust(_u7726), c_Divides_OposDivAlg(_u7725, 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)))), _u7726)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_negDivAlg_Opinduct ( axiom ) converted to clauses:
% 20.36/20.55 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), _u7729), _u7730))) | hBOOL(hAPP(hAPP(_u7731, _u7729), _u7730)) | 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), skolem157(_u7731, _u7730, _u7729)), skolem158(_u7731, _u7730, _u7729)))) )).
% 20.36/20.55 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), _u7729), _u7730))) | hBOOL(hAPP(hAPP(_u7731, _u7729), _u7730)) | 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), skolem157(_u7731, _u7730, _u7729)), skolem158(_u7731, _u7730, _u7729)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem158(_u7731, _u7730, _u7729)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u7731, skolem157(_u7731, _u7730, _u7729)), 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)))), skolem158(_u7731, _u7730, _u7729)))) )).
% 20.36/20.55 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), _u7729), _u7730))) | hBOOL(hAPP(hAPP(_u7731, _u7729), _u7730)) | ~hBOOL(hAPP(hAPP(_u7731, skolem157(_u7731, _u7730, _u7729)), skolem158(_u7731, _u7730, _u7729))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_posDivAlg_Opinduct ( axiom ) converted to clauses:
% 20.36/20.55 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), _u7734), _u7735))) | hBOOL(hAPP(hAPP(_u7736, _u7734), _u7735)) | 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), skolem159(_u7736, _u7735, _u7734)), skolem160(_u7736, _u7735, _u7734)))) )).
% 20.36/20.55 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), _u7734), _u7735))) | hBOOL(hAPP(hAPP(_u7736, _u7734), _u7735)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem159(_u7736, _u7735, _u7734)), skolem160(_u7736, _u7735, _u7734))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem160(_u7736, _u7735, _u7734)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u7736, skolem159(_u7736, _u7735, _u7734)), 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)))), skolem160(_u7736, _u7735, _u7734)))) )).
% 20.36/20.55 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), _u7734), _u7735))) | hBOOL(hAPP(hAPP(_u7736, _u7734), _u7735)) | ~hBOOL(hAPP(hAPP(_u7736, skolem159(_u7736, _u7735, _u7734)), skolem160(_u7736, _u7735, _u7734))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_accp__subset ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_accp__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7737, tc_fun(_u7737, tc_HOL_Obool))), _u7738), _u7739)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7737, tc_HOL_Obool)), c_Wellfounded_Oaccp(_u7737, _u7739)), c_Wellfounded_Oaccp(_u7737, _u7738))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_predicate2D ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_predicate2D-1, axiom, ( ~hBOOL(hAPP(hAPP(_u7742, _u7744), _u7745)) | hBOOL(hAPP(hAPP(_u7743, _u7744), _u7745)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7740, tc_fun(_u7741, tc_HOL_Obool))), _u7742), _u7743)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_rev__predicate2D ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_rev__predicate2D-1, axiom, ( ~hBOOL(hAPP(hAPP(_u7746, _u7747), _u7748)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7749, tc_fun(_u7750, tc_HOL_Obool))), _u7746), _u7751)) | hBOOL(hAPP(hAPP(_u7751, _u7747), _u7748)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_accp_Osimps ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_accp_Osimps-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u7757, _u7759), _u7761)) | ~hBOOL(hAPP(hAPP(_u7759, _u7752), _u7761)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u7757, _u7759), _u7752)) )).
% 20.36/20.55 cnf(fact_accp_Osimps-2, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u7758, _u7760), _u7762)) | hBOOL(hAPP(hAPP(_u7760, skolem161(_u7762, _u7760, _u7758)), _u7762)) )).
% 20.36/20.55 cnf(fact_accp_Osimps-3, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u7758, _u7760), _u7762)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u7758, _u7760), skolem161(_u7762, _u7760, _u7758))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_accp_Oequations ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_accp_Oequations-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u7768, _u7770), _u7772)) | ~hBOOL(hAPP(hAPP(_u7770, _u7763), _u7772)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u7768, _u7770), _u7763)) )).
% 20.36/20.55 cnf(fact_accp_Oequations-2, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u7769, _u7771), _u7773)) | hBOOL(hAPP(hAPP(_u7771, skolem162(_u7773, _u7771, _u7769)), _u7773)) )).
% 20.36/20.55 cnf(fact_accp_Oequations-3, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u7769, _u7771), _u7773)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u7769, _u7771), skolem162(_u7773, _u7771, _u7769))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_accp__downward ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_accp__downward-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u7774, _u7775), _u7776)) | ~hBOOL(hAPP(hAPP(_u7775, _u7777), _u7776)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u7774, _u7775), _u7777)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_nat__gcd_Opsimps ( axiom ) converted to clauses:
% 20.36/20.55 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), _u7778), _u7779))) | ( _u7779 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u7778, _u7779) = _u7778) )).
% 20.36/20.55 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), _u7778), _u7779))) | ( _u7779 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u7778, _u7779) = c_Nitpick_Onat__gcd(_u7779, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7778, _u7779))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_nat_Osize_I2_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_nat_Osize_I2_J-1, axiom, ( ( c_Nat_Onat_Onat__size(hAPP(c_Nat_OSuc, _u7780)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Nat_Onat_Onat__size(_u7780)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_in__measure ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_in__measure-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u7791, _u7787)), hAPP(_u7791, _u7789))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7785, _u7785)), hAPP(hAPP(c_Product__Type_OPair(_u7785, _u7785), _u7787), _u7789)), hAPP(c_Wellfounded_Omeasure(_u7785), _u7791))) )).
% 20.36/20.55 cnf(fact_in__measure-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u7792, _u7788)), hAPP(_u7792, _u7790))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7786, _u7786)), hAPP(hAPP(c_Product__Type_OPair(_u7786, _u7786), _u7788), _u7790)), hAPP(c_Wellfounded_Omeasure(_u7786), _u7792))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_mlex__leq ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_mlex__leq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u7793, _u7794)), hAPP(_u7793, _u7795))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7796, _u7796)), hAPP(hAPP(c_Product__Type_OPair(_u7796, _u7796), _u7794), _u7795)), _u7797)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7796, _u7796)), hAPP(hAPP(c_Product__Type_OPair(_u7796, _u7796), _u7794), _u7795)), c_Wellfounded_Omlex__prod(_u7796, _u7793, _u7797))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_nat_Osize_I1_J ( axiom ) converted to clauses:
% 20.36/20.55 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)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_mlex__less ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_mlex__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u7798, _u7799)), hAPP(_u7798, _u7800))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7801, _u7801)), hAPP(hAPP(c_Product__Type_OPair(_u7801, _u7801), _u7799), _u7800)), c_Wellfounded_Omlex__prod(_u7801, _u7798, _u7802))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_nat__gcd_Opinduct ( axiom ) converted to clauses:
% 20.36/20.55 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), _u7805), _u7806))) | hBOOL(hAPP(hAPP(_u7807, _u7805), _u7806)) | 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), skolem163(_u7807, _u7806, _u7805)), skolem164(_u7807, _u7806, _u7805)))) )).
% 20.36/20.55 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), _u7805), _u7806))) | hBOOL(hAPP(hAPP(_u7807, _u7805), _u7806)) | ( skolem164(_u7807, _u7806, _u7805) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(_u7807, skolem164(_u7807, _u7806, _u7805)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, skolem163(_u7807, _u7806, _u7805), skolem164(_u7807, _u7806, _u7805)))) )).
% 20.36/20.55 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), _u7805), _u7806))) | hBOOL(hAPP(hAPP(_u7807, _u7805), _u7806)) | ~hBOOL(hAPP(hAPP(_u7807, skolem163(_u7807, _u7806, _u7805)), skolem164(_u7807, _u7806, _u7805))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_nat_Osize_I4_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_nat_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7808)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u7808)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_divmod__int__def ( axiom ) converted to clauses:
% 20.36/20.55 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)), _u7811)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7813)) | ( c_Divides_Odivmod__int(_u7811, _u7813) = c_Divides_OposDivAlg(_u7811, _u7813)) )).
% 20.36/20.55 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)), _u7811)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7813)) | ( _u7811 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u7811, _u7813) = 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))) )).
% 20.36/20.55 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)), _u7811)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7813)) | ( _u7811 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u7811, _u7813) = hAPP(c_Divides_OnegateSnd, c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7811), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7813)))) )).
% 20.36/20.55 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)), _u7812)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7814)) | ( c_Divides_Odivmod__int(_u7812, _u7814) = c_Divides_OnegDivAlg(_u7812, _u7814)) )).
% 20.36/20.55 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)), _u7812)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7814)) | ( c_Divides_Odivmod__int(_u7812, _u7814) = hAPP(c_Divides_OnegateSnd, c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7812), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7814)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_mod__pos__pos__1__number__of ( axiom ) converted to clauses:
% 20.36/20.55 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), _u7815))) | ( 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), _u7815)) = 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), _u7815)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_mod__int__def ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_mod__int__def-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7816, _u7817) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u7816, _u7817))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_nat__size ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_nat__size-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u7818) = _u7818) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_nat_Osize_I3_J ( axiom ) converted to clauses:
% 20.36/20.55 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)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_mod__pos__neg ( axiom ) converted to clauses:
% 20.36/20.55 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)), _u7819)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7820), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7819, _u7820) = 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), _u7819), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7820))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_negateSnd__eq ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_negateSnd__eq-1, axiom, ( ( hAPP(c_Divides_OnegateSnd, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7821), _u7822)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7821), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7822))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_mod__neg__neg ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_mod__neg__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7823), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7824), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7823, _u7824) = 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), _u7823), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7824))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_divmod__int__rel__neg ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_divmod__int__rel__neg-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7825), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7826)), _u7827)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7825, _u7826), hAPP(c_Divides_OnegateSnd, _u7827))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_mod__neg__pos ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_mod__neg__pos-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7828), 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)), _u7829)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7828, _u7829) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u7828, _u7829))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_divmod__int__correct ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_divmod__int__correct-1, axiom, ( ( _u7830 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7831, _u7830), c_Divides_Odivmod__int(_u7831, _u7830))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_mod__pos__neg__1__number__of ( axiom ) converted to clauses:
% 20.36/20.55 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), _u7832)), 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), _u7832)) = 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), _u7832)))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_mod__pos__pos ( axiom ) converted to clauses:
% 20.36/20.55 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)), _u7833)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7834)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7833, _u7834) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u7833, _u7834))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_divmod__int__mod__div ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_divmod__int__mod__div-1, axiom, ( ( c_Divides_Odivmod__int(_u7835, _u7836) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7835), _u7836)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7835, _u7836))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_div__pos__neg__1__number__of ( axiom ) converted to clauses:
% 20.36/20.55 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), _u7837)), 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), _u7837)) = 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), _u7837)))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_div__neg__neg ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_div__neg__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7838), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7839), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7838), _u7839) = 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), _u7838), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7839))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_snd__eqD ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_snd__eqD-1, axiom, ( ( _u7843 = _u7844) | ( hAPP(c_Product__Type_Osnd(_u7840, _u7841), hAPP(hAPP(c_Product__Type_OPair(_u7840, _u7841), _u7842), _u7843)) != _u7844) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_snd__conv ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_snd__conv-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u7845, _u7846), hAPP(hAPP(c_Product__Type_OPair(_u7845, _u7846), _u7847), _u7848)) = _u7848) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Pair__fst__snd__eq ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Pair__fst__snd__eq-1, axiom, ( ( _u7853 != _u7855) | ( hAPP(c_Product__Type_Ofst(_u7857, _u7859), _u7853) = hAPP(c_Product__Type_Ofst(_u7857, _u7859), _u7855)) )).
% 20.36/20.55 cnf(fact_Pair__fst__snd__eq-2, axiom, ( ( _u7853 != _u7855) | ( hAPP(c_Product__Type_Osnd(_u7857, _u7859), _u7853) = hAPP(c_Product__Type_Osnd(_u7857, _u7859), _u7855)) )).
% 20.36/20.55 cnf(fact_Pair__fst__snd__eq-3, axiom, ( ( hAPP(c_Product__Type_Ofst(_u7858, _u7860), _u7854) != hAPP(c_Product__Type_Ofst(_u7858, _u7860), _u7856)) | ( hAPP(c_Product__Type_Osnd(_u7858, _u7860), _u7854) != hAPP(c_Product__Type_Osnd(_u7858, _u7860), _u7856)) | ( _u7854 = _u7856) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_prod__eqI ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_prod__eqI-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u7861, _u7862), _u7863) != hAPP(c_Product__Type_Ofst(_u7861, _u7862), _u7864)) | ( hAPP(c_Product__Type_Osnd(_u7861, _u7862), _u7863) != hAPP(c_Product__Type_Osnd(_u7861, _u7862), _u7864)) | ( _u7863 = _u7864) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_fst__conv ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_fst__conv-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u7865, _u7866), hAPP(hAPP(c_Product__Type_OPair(_u7865, _u7866), _u7867), _u7868)) = _u7867) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_fst__eqD ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_fst__eqD-1, axiom, ( ( _u7871 = _u7873) | ( hAPP(c_Product__Type_Ofst(_u7869, _u7870), hAPP(hAPP(c_Product__Type_OPair(_u7869, _u7870), _u7871), _u7872)) != _u7873) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_surjective__pairing ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_surjective__pairing-1, axiom, ( ( _u7874 = hAPP(hAPP(c_Product__Type_OPair(_u7875, _u7876), hAPP(c_Product__Type_Ofst(_u7875, _u7876), _u7874)), hAPP(c_Product__Type_Osnd(_u7875, _u7876), _u7874))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_pair__collapse ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_pair__collapse-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u7877, _u7878), hAPP(c_Product__Type_Ofst(_u7877, _u7878), _u7879)), hAPP(c_Product__Type_Osnd(_u7877, _u7878), _u7879)) = _u7879) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_div__int__def ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_div__int__def-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7880), _u7881) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u7880, _u7881))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_mod__nat__def ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_mod__nat__def-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7882, _u7883) = hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u7882, _u7883))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Pair__inject ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Pair__inject-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u7884, _u7885), _u7886), _u7887) != hAPP(hAPP(c_Product__Type_OPair(_u7884, _u7885), _u7888), _u7889)) | ( _u7886 = _u7888) )).
% 20.36/20.55 cnf(fact_Pair__inject-2, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u7884, _u7885), _u7886), _u7887) != hAPP(hAPP(c_Product__Type_OPair(_u7884, _u7885), _u7888), _u7889)) | ( _u7887 = _u7889) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Pair__eq ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Pair__eq-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u7896, _u7898), _u7900), _u7902) != hAPP(hAPP(c_Product__Type_OPair(_u7896, _u7898), _u7904), _u7906)) | ( _u7900 = _u7904) )).
% 20.36/20.55 cnf(fact_Pair__eq-2, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u7896, _u7898), _u7900), _u7902) != hAPP(hAPP(c_Product__Type_OPair(_u7896, _u7898), _u7904), _u7906)) | ( _u7902 = _u7906) )).
% 20.36/20.55 cnf(fact_Pair__eq-3, axiom, ( ( _u7901 != _u7905) | ( _u7903 != _u7907) | ( hAPP(hAPP(c_Product__Type_OPair(_u7897, _u7899), _u7901), _u7903) = hAPP(hAPP(c_Product__Type_OPair(_u7897, _u7899), _u7905), _u7907)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_split__paired__All ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_split__paired__All-1, axiom, ( ~hBOOL(hAPP(_u7917, skolem165(_u7921, _u7919, _u7917))) | hBOOL(hAPP(_u7917, hAPP(hAPP(c_Product__Type_OPair(_u7919, _u7921), _u7910), _u7909))) )).
% 20.36/20.55 cnf(fact_split__paired__All-2, axiom, ( ~hBOOL(hAPP(_u7918, hAPP(hAPP(c_Product__Type_OPair(_u7920, _u7922), skolem166(_u7922, _u7920, _u7918)), skolem167(_u7922, _u7920, _u7918)))) | hBOOL(hAPP(_u7918, _u7913)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_div__neg__pos ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_div__neg__pos-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7923), 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)), _u7924)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7923), _u7924) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u7923, _u7924))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_div__pos__pos ( axiom ) converted to clauses:
% 20.36/20.55 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)), _u7925)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7926)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7925), _u7926) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u7925, _u7926))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_div__pos__pos__1__number__of ( axiom ) converted to clauses:
% 20.36/20.55 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), _u7927))) | ( 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), _u7927)) = 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), _u7927)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_div__pos__neg ( axiom ) converted to clauses:
% 20.36/20.55 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)), _u7928)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7929), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7928), _u7929) = 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), _u7928), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7929))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_prod__size__simp ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_prod__size__simp-1, axiom, ( ( c_Product__Type_Oprod_Oprod__size(_u7930, _u7931, _u7932, _u7933, _u7934) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u7932, hAPP(c_Product__Type_Ofst(_u7930, _u7931), _u7934))), hAPP(_u7933, hAPP(c_Product__Type_Osnd(_u7930, _u7931), _u7934)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_conjI__realizer ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_conjI__realizer-1, axiom, ( ~hBOOL(hAPP(_u7935, _u7936)) | ~hBOOL(hAPP(_u7937, _u7938)) | hBOOL(hAPP(_u7935, hAPP(c_Product__Type_Ofst(_u7939, _u7940), hAPP(hAPP(c_Product__Type_OPair(_u7939, _u7940), _u7936), _u7938)))) )).
% 20.36/20.55 cnf(fact_conjI__realizer-2, axiom, ( ~hBOOL(hAPP(_u7935, _u7936)) | ~hBOOL(hAPP(_u7937, _u7938)) | hBOOL(hAPP(_u7937, hAPP(c_Product__Type_Osnd(_u7939, _u7940), hAPP(hAPP(c_Product__Type_OPair(_u7939, _u7940), _u7936), _u7938)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_exI__realizer ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_exI__realizer-1, axiom, ( ~hBOOL(hAPP(hAPP(_u7941, _u7942), _u7943)) | hBOOL(hAPP(hAPP(_u7941, hAPP(c_Product__Type_Osnd(_u7944, _u7945), hAPP(hAPP(c_Product__Type_OPair(_u7944, _u7945), _u7943), _u7942))), hAPP(c_Product__Type_Ofst(_u7944, _u7945), hAPP(hAPP(c_Product__Type_OPair(_u7944, _u7945), _u7943), _u7942)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_prod_Orecs ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_prod_Orecs-1, axiom, ( ( c_Product__Type_Oprod_Oprod__rec(_u7946, _u7947, _u7948, _u7949, hAPP(hAPP(c_Product__Type_OPair(_u7946, _u7947), _u7950), _u7951)) = hAPP(hAPP(_u7949, _u7950), _u7951)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_div__nat__def ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_div__nat__def-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7952), _u7953) = hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u7952, _u7953))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_divmod__nat__rel__def ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_divmod__nat__rel__def-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7957, _u7959), _u7961)) | ( _u7957 = 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), _u7961)), _u7959)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7961))) )).
% 20.36/20.55 cnf(fact_divmod__nat__rel__def-2, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7957, _u7959), _u7961)) | ( _u7959 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u7961) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.55 cnf(fact_divmod__nat__rel__def-3, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7957, _u7959), _u7961)) | ( _u7959 = 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)), _u7959)) | 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), _u7961))) )).
% 20.36/20.55 cnf(fact_divmod__nat__rel__def-4, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7957, _u7959), _u7961)) | ( _u7959 = 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)), _u7959)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7961)), _u7959)) )).
% 20.36/20.55 cnf(fact_divmod__nat__rel__def-5, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7957, _u7959), _u7961)) | ( _u7959 = 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)), _u7959)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7959), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7961))) )).
% 20.36/20.55 cnf(fact_divmod__nat__rel__def-6, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7957, _u7959), _u7961)) | ( _u7959 = 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)), _u7959)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7961)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.55 cnf(fact_divmod__nat__rel__def-7, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7958, _u7960), _u7962)) | ( _u7958 != 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), _u7962)), _u7960)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7962))) | ( _u7960 = 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)), _u7960)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7960), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7962))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7962)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.55 cnf(fact_divmod__nat__rel__def-8, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7958, _u7960), _u7962)) | ( _u7958 != 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), _u7962)), _u7960)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7962))) | ( _u7960 = 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), _u7962))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7962)), _u7960)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7960)) )).
% 20.36/20.55 cnf(fact_divmod__nat__rel__def-9, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7958, _u7960), _u7962)) | ( _u7958 != 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), _u7962)), _u7960)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7962))) | ( _u7960 = 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), _u7962))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7962)), _u7960)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7960), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7962))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7962)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.55 cnf(fact_divmod__nat__rel__def-10, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7958, _u7960), _u7962)) | ( _u7958 != 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), _u7962)), _u7960)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7962))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u7962) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7960 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.55 cnf(fact_divmod__nat__rel__def-11, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7958, _u7960), _u7962)) | ( _u7958 != 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), _u7962)), _u7960)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7962))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u7962) != 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)), _u7960)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7960), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7962))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7962)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.55 cnf(fact_divmod__nat__rel__def-12, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7958, _u7960), _u7962)) | ( _u7958 != 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), _u7962)), _u7960)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7962))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u7962) != 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), _u7962))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7962)), _u7960)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7960)) )).
% 20.36/20.55 cnf(fact_divmod__nat__rel__def-13, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7958, _u7960), _u7962)) | ( _u7958 != 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), _u7962)), _u7960)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7962))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u7962) != 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), _u7962))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7962)), _u7960)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7960), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7962))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7962)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_range ( axiom ) converted to clauses:
% 20.36/20.55 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)), _u7963)) | 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(_u7963), _u7964))), _u7963)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_in__lex__prod ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_in__lex__prod-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u7973, _u7975), tc_prod(_u7973, _u7975))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u7973, _u7975), tc_prod(_u7973, _u7975)), hAPP(hAPP(c_Product__Type_OPair(_u7973, _u7975), _u7977), _u7979)), hAPP(hAPP(c_Product__Type_OPair(_u7973, _u7975), _u7981), _u7983))), c_Wellfounded_Olex__prod(_u7973, _u7975, _u7985, _u7987))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7973, _u7973)), hAPP(hAPP(c_Product__Type_OPair(_u7973, _u7973), _u7977), _u7981)), _u7985)) | ( _u7977 = _u7981) )).
% 20.36/20.55 cnf(fact_in__lex__prod-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u7973, _u7975), tc_prod(_u7973, _u7975))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u7973, _u7975), tc_prod(_u7973, _u7975)), hAPP(hAPP(c_Product__Type_OPair(_u7973, _u7975), _u7977), _u7979)), hAPP(hAPP(c_Product__Type_OPair(_u7973, _u7975), _u7981), _u7983))), c_Wellfounded_Olex__prod(_u7973, _u7975, _u7985, _u7987))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7973, _u7973)), hAPP(hAPP(c_Product__Type_OPair(_u7973, _u7973), _u7977), _u7981)), _u7985)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7975, _u7975)), hAPP(hAPP(c_Product__Type_OPair(_u7975, _u7975), _u7979), _u7983)), _u7987)) )).
% 20.36/20.55 cnf(fact_in__lex__prod-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u7974, _u7976), tc_prod(_u7974, _u7976))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u7974, _u7976), tc_prod(_u7974, _u7976)), hAPP(hAPP(c_Product__Type_OPair(_u7974, _u7976), _u7978), _u7980)), hAPP(hAPP(c_Product__Type_OPair(_u7974, _u7976), _u7982), _u7984))), c_Wellfounded_Olex__prod(_u7974, _u7976, _u7986, _u7988))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7974, _u7974)), hAPP(hAPP(c_Product__Type_OPair(_u7974, _u7974), _u7978), _u7982)), _u7986)) )).
% 20.36/20.55 cnf(fact_in__lex__prod-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u7974, _u7976), tc_prod(_u7974, _u7976))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u7974, _u7976), tc_prod(_u7974, _u7976)), hAPP(hAPP(c_Product__Type_OPair(_u7974, _u7976), _u7978), _u7980)), hAPP(hAPP(c_Product__Type_OPair(_u7974, _u7976), _u7982), _u7984))), c_Wellfounded_Olex__prod(_u7974, _u7976, _u7986, _u7988))) | ( _u7978 != _u7982) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7976, _u7976)), hAPP(hAPP(c_Product__Type_OPair(_u7976, _u7976), _u7980), _u7984)), _u7988)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_in__finite__psubset ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_in__finite__psubset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u7992, tc_HOL_Obool), tc_fun(_u7992, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u7992, tc_HOL_Obool), tc_fun(_u7992, tc_HOL_Obool)), _u7994), _u7996)), c_Wellfounded_Ofinite__psubset(_u7992))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7992, tc_HOL_Obool)), _u7994), _u7996)) )).
% 20.36/20.55 cnf(fact_in__finite__psubset-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u7992, tc_HOL_Obool), tc_fun(_u7992, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u7992, tc_HOL_Obool), tc_fun(_u7992, tc_HOL_Obool)), _u7994), _u7996)), c_Wellfounded_Ofinite__psubset(_u7992))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7992), _u7996)) )).
% 20.36/20.55 cnf(fact_in__finite__psubset-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7993, tc_HOL_Obool)), _u7995), _u7997)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7993), _u7997)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u7993, tc_HOL_Obool), tc_fun(_u7993, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u7993, tc_HOL_Obool), tc_fun(_u7993, tc_HOL_Obool)), _u7995), _u7997)), c_Wellfounded_Ofinite__psubset(_u7993))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_pair__lessI2 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_pair__lessI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7998), _u7999)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8000), _u8001)) | 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), _u7998), _u8000)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7999), _u8001))), c_FunDef_Opair__less)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_pair__lessI1 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_pair__lessI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8002), _u8003)) | 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), _u8002), _u8004)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8003), _u8005))), c_FunDef_Opair__less)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_same__fstI ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_same__fstI-1, axiom, ( ~hBOOL(hAPP(_u8006, _u8007)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8008, _u8008)), hAPP(hAPP(c_Product__Type_OPair(_u8008, _u8008), _u8009), _u8010)), hAPP(_u8011, _u8007))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u8012, _u8008), tc_prod(_u8012, _u8008))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u8012, _u8008), tc_prod(_u8012, _u8008)), hAPP(hAPP(c_Product__Type_OPair(_u8012, _u8008), _u8007), _u8009)), hAPP(hAPP(c_Product__Type_OPair(_u8012, _u8008), _u8007), _u8010))), c_Recdef_Osame__fst(_u8012, _u8008, _u8006, _u8011))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_pair__leqI2 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_pair__leqI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8013), _u8014)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8015), _u8016)) | 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), _u8013), _u8015)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8014), _u8016))), c_FunDef_Opair__leq)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_smax__insertI ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_smax__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8017), _u8018)) | ~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)), _u8019), _u8017)), 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)), _u8020), _u8018)), 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)), _u8019), _u8020)), _u8018)), c_FunDef_Omax__strict)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_smin__insertI ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_smin__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8021), _u8022)) | ~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)), _u8021), _u8023)), 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)), _u8022), _u8024)), 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)), _u8022), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8023), _u8024))), c_FunDef_Omin__strict)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_smin__emptyI ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_smin__emptyI-1, axiom, ( ( _u8025 = 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)), _u8025), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__strict)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_smax__emptyI ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_smax__emptyI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8026)) | ( _u8026 = 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))), _u8026)), c_FunDef_Omax__strict)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_pair__leqI1 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_pair__leqI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8027), _u8028)) | 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), _u8027), _u8029)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8028), _u8030))), c_FunDef_Opair__leq)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_wmin__insertI ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_wmin__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8031), _u8032)) | ~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)), _u8031), _u8033)), 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)), _u8032), _u8034)), 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)), _u8032), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8033), _u8034))), c_FunDef_Omin__weak)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_wmax__insertI ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_wmax__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8035), _u8036)) | ~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)), _u8037), _u8035)), 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)), _u8038), _u8036)), 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)), _u8037), _u8038)), _u8036)), c_FunDef_Omax__weak)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_wmin__emptyI ( axiom ) converted to clauses:
% 20.36/20.55 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)), _u8039), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__weak)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_wmax__emptyI ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_wmax__emptyI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8040)) | 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))), _u8040)), c_FunDef_Omax__weak)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_less__by__empty ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_less__by__empty-1, axiom, ( ( _u8041 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u8042, _u8042), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u8042, _u8042), tc_HOL_Obool)), _u8041), _u8043)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__weak__def ( axiom ) converted to clauses:
% 20.36/20.55 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))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_max__weak__def ( axiom ) converted to clauses:
% 20.36/20.55 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))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_max__rpair__set ( axiom ) converted to clauses:
% 20.36/20.55 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)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__rpair__set ( axiom ) converted to clauses:
% 20.36/20.55 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)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_max__strict__def ( axiom ) converted to clauses:
% 20.36/20.55 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)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_max__ext__additive ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_max__ext__additive-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8044, tc_HOL_Obool), tc_fun(_u8044, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8044, tc_HOL_Obool), tc_fun(_u8044, tc_HOL_Obool)), _u8045), _u8046)), c_Wellfounded_Omax__ext(_u8044, _u8047))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8044, tc_HOL_Obool), tc_fun(_u8044, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8044, tc_HOL_Obool), tc_fun(_u8044, tc_HOL_Obool)), _u8048), _u8049)), c_Wellfounded_Omax__ext(_u8044, _u8047))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8044, tc_HOL_Obool), tc_fun(_u8044, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8044, tc_HOL_Obool), tc_fun(_u8044, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8044, tc_HOL_Obool)), _u8045), _u8048)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8044, tc_HOL_Obool)), _u8046), _u8049))), c_Wellfounded_Omax__ext(_u8044, _u8047))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__strict__def ( axiom ) converted to clauses:
% 20.36/20.55 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)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_less__than__iff ( axiom ) converted to clauses:
% 20.36/20.55 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), _u8052), _u8054)), c_Wellfounded_Oless__than)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8052), _u8054)) )).
% 20.36/20.55 cnf(fact_less__than__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8053), _u8055)) | 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), _u8053), _u8055)), c_Wellfounded_Oless__than)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_intrel__iff ( axiom ) converted to clauses:
% 20.36/20.55 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), _u8060), _u8062)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8064), _u8066))), c_Int_Ointrel)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8060), _u8066) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8064), _u8062)) )).
% 20.36/20.55 cnf(fact_intrel__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8061), _u8067) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8065), _u8063)) | 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), _u8061), _u8063)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8065), _u8067))), c_Int_Ointrel)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_rp__inv__image__rp ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_rp__inv__image__rp-1, axiom, ( ~c_FunDef_Oreduction__pair(_u8068, _u8069) | c_FunDef_Oreduction__pair(_u8070, hAPP(hAPP(c_FunDef_Orp__inv__image(_u8068, _u8070), _u8069), _u8071)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_max__ext_Ointros ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_max__ext_Ointros-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8074), _u8075)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8074), _u8076)) | ( _u8076 = c_Orderings_Obot__class_Obot(tc_fun(_u8074, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8074, tc_HOL_Obool), tc_fun(_u8074, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8074, tc_HOL_Obool), tc_fun(_u8074, tc_HOL_Obool)), _u8075), _u8076)), c_Wellfounded_Omax__ext(_u8074, _u8077))) | hBOOL(hAPP(hAPP(c_member(_u8074), skolem168(_u8077, _u8076, _u8075, _u8074)), _u8075)) )).
% 20.36/20.55 cnf(fact_max__ext_Ointros-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8074), _u8075)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8074), _u8076)) | ( _u8076 = c_Orderings_Obot__class_Obot(tc_fun(_u8074, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8074, tc_HOL_Obool), tc_fun(_u8074, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8074, tc_HOL_Obool), tc_fun(_u8074, tc_HOL_Obool)), _u8075), _u8076)), c_Wellfounded_Omax__ext(_u8074, _u8077))) | ~hBOOL(hAPP(hAPP(c_member(_u8074), _u8072), _u8076)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8074, _u8074)), hAPP(hAPP(c_Product__Type_OPair(_u8074, _u8074), skolem168(_u8077, _u8076, _u8075, _u8074)), _u8072)), _u8077)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_pair__less__def ( axiom ) converted to clauses:
% 20.36/20.55 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)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_equiv__intrel__iff ( axiom ) converted to clauses:
% 20.36/20.55 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)), _u8080), 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)), _u8082), 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)), _u8080), _u8082)), c_Int_Ointrel)) )).
% 20.36/20.55 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)), _u8081), _u8083)), 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)), _u8081), 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)), _u8083), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Nitpick_Ozero__frac__def ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Nitpick_Ozero__frac__def-1, axiom, ( ( c_Nitpick_Ozero__frac(_u8084) = c_Nitpick_OAbs__Frac(_u8084, 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)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_measure__def ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_measure__def-1, axiom, ( ( c_Wellfounded_Omeasure(_u8085) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat, _u8085), c_Wellfounded_Oless__than)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_adjust__eq ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_adjust__eq-1, axiom, ( ( hAPP(c_Divides_Oadjust(_u8086), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8087), _u8088)) = 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), _u8088), _u8086)), 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)))), _u8087)), 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)))), _u8087)), _u8088)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_setsum__abs ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_setsum__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8089) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8089), hAPP(c_Groups_Oabs__class_Oabs(_u8089), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8090, _u8089), _u8091), _u8092))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8090, _u8089), hAPP(hAPP(c_COMBB(_u8089, _u8089, _u8090), c_Groups_Oabs__class_Oabs(_u8089)), _u8091)), _u8092))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_setsum__abs__ge__zero ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_setsum__abs__ge__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8093) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8093), c_Groups_Ozero__class_Ozero(_u8093)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8094, _u8093), hAPP(hAPP(c_COMBB(_u8093, _u8093, _u8094), c_Groups_Oabs__class_Oabs(_u8093)), _u8095)), _u8096))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_setprod_Odistrib ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_setprod_Odistrib-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8097) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8098), _u8099)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8098, _u8097), hAPP(hAPP(c_COMBS(_u8098, _u8097, _u8097), hAPP(hAPP(c_COMBB(_u8097, tc_fun(_u8097, _u8097), _u8098), c_Groups_Otimes__class_Otimes(_u8097)), _u8100)), _u8101)), _u8099) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8097), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8098, _u8097), _u8100), _u8099)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8098, _u8097), _u8101), _u8099))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_setsum_Odistrib ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_setsum_Odistrib-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8102) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8103), _u8104)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8103, _u8102), hAPP(hAPP(c_COMBS(_u8103, _u8102, _u8102), hAPP(hAPP(c_COMBB(_u8102, tc_fun(_u8102, _u8102), _u8103), c_Groups_Oplus__class_Oplus(_u8102)), _u8105)), _u8106)), _u8104) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8102), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8103, _u8102), _u8105), _u8104)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8103, _u8102), _u8106), _u8104))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_setprod__dividef ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_setprod__dividef-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8107) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8108), _u8109)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8108, _u8107), hAPP(hAPP(c_COMBS(_u8108, _u8107, _u8107), hAPP(hAPP(c_COMBB(_u8107, tc_fun(_u8107, _u8107), _u8108), c_Rings_Oinverse__class_Odivide(_u8107)), _u8110)), _u8111)), _u8109) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8107), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8108, _u8107), _u8110), _u8109)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8108, _u8107), _u8111), _u8109))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_nat__number__of__Bit0 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_nat__number__of__Bit0-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u8112)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8112)), 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)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_setsum__negf ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_setsum__negf-1, axiom, ( ~class_Groups_Oab__group__add(_u8113) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8114, _u8113), hAPP(hAPP(c_COMBB(_u8113, _u8113, _u8114), c_Groups_Ouminus__class_Ouminus(_u8113)), _u8115)), _u8116) = hAPP(c_Groups_Ouminus__class_Ouminus(_u8113), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8114, _u8113), _u8115), _u8116))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_fun__Compl__def ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_fun__Compl__def-1, axiom, ( ~class_Groups_Ouminus(_u8117) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8118, _u8117)), _u8119), _u8120) = hAPP(c_Groups_Ouminus__class_Ouminus(_u8117), hAPP(_u8119, _u8120))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_int__setprod ( axiom ) converted to clauses:
% 20.36/20.55 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(_u8121, tc_Nat_Onat), _u8122), _u8123)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8121, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u8121), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8122)), _u8123)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_setprod__1 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_setprod__1-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8124) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8125, _u8124), hAPP(c_COMBK(_u8124, _u8125), c_Groups_Oone__class_Oone(_u8124))), _u8126) = c_Groups_Oone__class_Oone(_u8124)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_abs__setsum__abs ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_abs__setsum__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8127) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8127), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8128, _u8127), hAPP(hAPP(c_COMBB(_u8127, _u8127, _u8128), c_Groups_Oabs__class_Oabs(_u8127)), _u8129)), _u8130)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8128, _u8127), hAPP(hAPP(c_COMBB(_u8127, _u8127, _u8128), c_Groups_Oabs__class_Oabs(_u8127)), _u8129)), _u8130)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_abs__setprod ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_abs__setprod-1, axiom, ( ~class_Fields_Olinordered__field(_u8131) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8131), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8132, _u8131), _u8133), _u8134)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8132, _u8131), hAPP(hAPP(c_COMBB(_u8131, _u8131, _u8132), c_Groups_Oabs__class_Oabs(_u8131)), _u8133)), _u8134)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_setsum__right__distrib ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_setsum__right__distrib-1, axiom, ( ~class_Rings_Osemiring__0(_u8135) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8135), _u8136), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8137, _u8135), _u8138), _u8139)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8137, _u8135), hAPP(hAPP(c_COMBB(_u8135, _u8135, _u8137), hAPP(c_Groups_Otimes__class_Otimes(_u8135), _u8136)), _u8138)), _u8139)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_setsum__left__distrib ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_setsum__left__distrib-1, axiom, ( ~class_Rings_Osemiring__0(_u8140) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8140), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8141, _u8140), _u8142), _u8143)), _u8144) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8141, _u8140), hAPP(hAPP(c_COMBC(_u8141, _u8140, _u8140), hAPP(hAPP(c_COMBB(_u8140, tc_fun(_u8140, _u8140), _u8141), c_Groups_Otimes__class_Otimes(_u8140)), _u8142)), _u8144)), _u8143)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_setsum__product ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_setsum__product-1, axiom, ( ~class_Rings_Osemiring__0(_u8145) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8145), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8146, _u8145), _u8147), _u8148)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8149, _u8145), _u8150), _u8151)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8146, _u8145), hAPP(hAPP(c_COMBC(_u8146, tc_fun(_u8149, tc_HOL_Obool), _u8145), hAPP(hAPP(c_COMBB(tc_fun(_u8149, _u8145), tc_fun(tc_fun(_u8149, tc_HOL_Obool), _u8145), _u8146), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8149, _u8145)), hAPP(hAPP(c_COMBC(_u8146, tc_fun(_u8149, _u8145), tc_fun(_u8149, _u8145)), hAPP(hAPP(c_COMBB(tc_fun(_u8145, _u8145), tc_fun(tc_fun(_u8149, _u8145), tc_fun(_u8149, _u8145)), _u8146), c_COMBB(_u8145, _u8145, _u8149)), hAPP(hAPP(c_COMBB(_u8145, tc_fun(_u8145, _u8145), _u8146), c_Groups_Otimes__class_Otimes(_u8145)), _u8147))), _u8150))), _u8151)), _u8148)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_inf__fun__def ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_inf__fun__def-1, axiom, ( ~class_Lattices_Olattice(_u8152) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8153, _u8152)), _u8154), _u8155), _u8156) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8152), hAPP(_u8154, _u8156)), hAPP(_u8155, _u8156))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_setprod__timesf ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_setprod__timesf-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8157) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8158, _u8157), hAPP(hAPP(c_COMBS(_u8158, _u8157, _u8157), hAPP(hAPP(c_COMBB(_u8157, tc_fun(_u8157, _u8157), _u8158), c_Groups_Otimes__class_Otimes(_u8157)), _u8159)), _u8160)), _u8161) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8157), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8158, _u8157), _u8159), _u8161)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8158, _u8157), _u8160), _u8161))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_fun__left__comm_Ofun__left__comm__apply ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_fun__left__comm_Ofun__left__comm__apply-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u8162, _u8163, _u8164) | c_Finite__Set_Ofun__left__comm(_u8165, _u8163, hAPP(hAPP(c_COMBB(_u8162, tc_fun(_u8163, _u8163), _u8165), _u8164), _u8166)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_setsum__commute ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_setsum__commute-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8167) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8168, _u8167), hAPP(hAPP(c_COMBC(_u8168, tc_fun(_u8169, tc_HOL_Obool), _u8167), hAPP(hAPP(c_COMBB(tc_fun(_u8169, _u8167), tc_fun(tc_fun(_u8169, tc_HOL_Obool), _u8167), _u8168), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8169, _u8167)), _u8170)), _u8171)), _u8172) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8169, _u8167), hAPP(hAPP(c_COMBC(_u8169, tc_fun(_u8168, tc_HOL_Obool), _u8167), hAPP(hAPP(c_COMBB(tc_fun(_u8168, _u8167), tc_fun(tc_fun(_u8168, tc_HOL_Obool), _u8167), _u8169), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8168, _u8167)), hAPP(c_COMBC(_u8168, _u8169, _u8167), _u8170))), _u8172)), _u8171)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_fun__left__comm__idem_Ofun__left__comm__idem__apply ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u8173, _u8174, _u8175) | c_Finite__Set_Ofun__left__comm__idem(_u8176, _u8174, hAPP(hAPP(c_COMBB(_u8173, tc_fun(_u8174, _u8174), _u8176), _u8175), _u8177)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_setsum__divide__distrib ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_setsum__divide__distrib-1, axiom, ( ~class_Fields_Ofield(_u8178) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8178), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8179, _u8178), _u8180), _u8181)), _u8182) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8179, _u8178), hAPP(hAPP(c_COMBC(_u8179, _u8178, _u8178), hAPP(hAPP(c_COMBB(_u8178, tc_fun(_u8178, _u8178), _u8179), c_Rings_Oinverse__class_Odivide(_u8178)), _u8180)), _u8182)), _u8181)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_fold__image__def ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_fold__image__def-1, axiom, ( ( hAPP(c_Finite__Set_Ofold__image(_u8183, _u8184, _u8185), _u8186) = c_Finite__Set_Ofold(_u8184, _u8183, hAPP(hAPP(c_COMBB(_u8183, tc_fun(_u8183, _u8183), _u8184), _u8185), _u8186))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_int__setsum ( axiom ) converted to clauses:
% 20.36/20.55 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(_u8187, tc_Nat_Onat), _u8188), _u8189)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8187, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u8187), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8188)), _u8189)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_setsum__0 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_setsum__0-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8190) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8191, _u8190), hAPP(c_COMBK(_u8190, _u8191), c_Groups_Ozero__class_Ozero(_u8190))), _u8192) = c_Groups_Ozero__class_Ozero(_u8190)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_fun__diff__def ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_fun__diff__def-1, axiom, ( ~class_Groups_Ominus(_u8193) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8194, _u8193)), _u8195), _u8196), _u8197) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8193), hAPP(_u8195, _u8197)), hAPP(_u8196, _u8197))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_setsum__subtractf ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_setsum__subtractf-1, axiom, ( ~class_Groups_Oab__group__add(_u8198) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8199, _u8198), hAPP(hAPP(c_COMBS(_u8199, _u8198, _u8198), hAPP(hAPP(c_COMBB(_u8198, tc_fun(_u8198, _u8198), _u8199), c_Groups_Ominus__class_Ominus(_u8198)), _u8200)), _u8201)), _u8202) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8198), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8199, _u8198), _u8200), _u8202)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8199, _u8198), _u8201), _u8202))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_of__int__setprod ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_of__int__setprod-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8203) | ~class_Rings_Oring__1(_u8203) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8203), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8204, tc_Int_Oint), _u8205), _u8206)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8204, _u8203), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u8203, _u8204), c_Int_Oring__1__class_Oof__int(_u8203)), _u8205)), _u8206)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_of__int__setsum ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_of__int__setsum-1, axiom, ( ~class_Rings_Oring__1(_u8207) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8207), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8208, tc_Int_Oint), _u8209), _u8210)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8208, _u8207), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u8207, _u8208), c_Int_Oring__1__class_Oof__int(_u8207)), _u8209)), _u8210)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_setsum__addf ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_setsum__addf-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8211) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8212, _u8211), hAPP(hAPP(c_COMBS(_u8212, _u8211, _u8211), hAPP(hAPP(c_COMBB(_u8211, tc_fun(_u8211, _u8211), _u8212), c_Groups_Oplus__class_Oplus(_u8211)), _u8213)), _u8214)), _u8215) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8211), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8212, _u8211), _u8213), _u8215)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8212, _u8211), _u8214), _u8215))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_inf__Int__eq ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_inf__Int__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8220, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u8220, tc_fun(_u8220, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8220)), _u8222)), hAPP(hAPP(c_COMBC(_u8220, tc_fun(_u8220, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8220)), _u8224)), _u8226)) | hBOOL(hAPP(hAPP(c_member(_u8220), _u8226), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8220, tc_HOL_Obool)), _u8222), _u8224))) )).
% 20.36/20.55 cnf(fact_inf__Int__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8221), _u8227), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8221, tc_HOL_Obool)), _u8223), _u8225))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8221, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u8221, tc_fun(_u8221, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8221)), _u8223)), hAPP(hAPP(c_COMBC(_u8221, tc_fun(_u8221, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8221)), _u8225)), _u8227)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_pred__equals__eq ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_pred__equals__eq-1, axiom, ( ( _u8233 = _u8235) | ( hAPP(hAPP(c_COMBC(_u8231, tc_fun(_u8231, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8231)), _u8233) != hAPP(hAPP(c_COMBC(_u8231, tc_fun(_u8231, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8231)), _u8235)) )).
% 20.36/20.55 cnf(fact_pred__equals__eq-2, axiom, ( ( _u8234 != _u8236) | ( hAPP(hAPP(c_COMBC(_u8232, tc_fun(_u8232, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8232)), _u8234) = hAPP(hAPP(c_COMBC(_u8232, tc_fun(_u8232, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8232)), _u8236)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_pred__subset__eq ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_pred__subset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8240, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u8240, tc_fun(_u8240, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8240)), _u8242)), hAPP(hAPP(c_COMBC(_u8240, tc_fun(_u8240, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8240)), _u8244))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8240, tc_HOL_Obool)), _u8242), _u8244)) )).
% 20.36/20.55 cnf(fact_pred__subset__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8241, tc_HOL_Obool)), _u8243), _u8245)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8241, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u8241, tc_fun(_u8241, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8241)), _u8243)), hAPP(hAPP(c_COMBC(_u8241, tc_fun(_u8241, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8241)), _u8245))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_sup__Un__eq ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_sup__Un__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8250, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u8250, tc_fun(_u8250, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8250)), _u8252)), hAPP(hAPP(c_COMBC(_u8250, tc_fun(_u8250, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8250)), _u8254)), _u8256)) | hBOOL(hAPP(hAPP(c_member(_u8250), _u8256), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8250, tc_HOL_Obool)), _u8252), _u8254))) )).
% 20.36/20.55 cnf(fact_sup__Un__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8251), _u8257), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8251, tc_HOL_Obool)), _u8253), _u8255))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8251, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u8251, tc_fun(_u8251, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8251)), _u8253)), hAPP(hAPP(c_COMBC(_u8251, tc_fun(_u8251, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8251)), _u8255)), _u8257)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_sup__Un__eq2 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_sup__Un__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8264, tc_fun(_u8266, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u8264, tc_fun(tc_prod(_u8264, _u8266), tc_HOL_Obool), tc_fun(_u8266, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8266, tc_fun(tc_fun(tc_prod(_u8264, _u8266), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8264, _u8266), tc_HOL_Obool), tc_fun(_u8266, tc_HOL_Obool)), _u8264), c_COMBC(_u8266, tc_fun(tc_prod(_u8264, _u8266), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8266, tc_prod(_u8264, _u8266)), tc_fun(_u8266, tc_fun(tc_fun(tc_prod(_u8264, _u8266), tc_HOL_Obool), tc_HOL_Obool)), _u8264), hAPP(c_COMBB(tc_prod(_u8264, _u8266), tc_fun(tc_fun(tc_prod(_u8264, _u8266), tc_HOL_Obool), tc_HOL_Obool), _u8266), c_member(tc_prod(_u8264, _u8266)))), c_Product__Type_OPair(_u8264, _u8266)))), _u8268)), hAPP(hAPP(c_COMBC(_u8264, tc_fun(tc_prod(_u8264, _u8266), tc_HOL_Obool), tc_fun(_u8266, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8266, tc_fun(tc_fun(tc_prod(_u8264, _u8266), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8264, _u8266), tc_HOL_Obool), tc_fun(_u8266, tc_HOL_Obool)), _u8264), c_COMBC(_u8266, tc_fun(tc_prod(_u8264, _u8266), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8266, tc_prod(_u8264, _u8266)), tc_fun(_u8266, tc_fun(tc_fun(tc_prod(_u8264, _u8266), tc_HOL_Obool), tc_HOL_Obool)), _u8264), hAPP(c_COMBB(tc_prod(_u8264, _u8266), tc_fun(tc_fun(tc_prod(_u8264, _u8266), tc_HOL_Obool), tc_HOL_Obool), _u8266), c_member(tc_prod(_u8264, _u8266)))), c_Product__Type_OPair(_u8264, _u8266)))), _u8270)), _u8272), _u8274)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8264, _u8266)), hAPP(hAPP(c_Product__Type_OPair(_u8264, _u8266), _u8272), _u8274)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u8264, _u8266), tc_HOL_Obool)), _u8268), _u8270))) )).
% 20.36/20.55 cnf(fact_sup__Un__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8265, _u8267)), hAPP(hAPP(c_Product__Type_OPair(_u8265, _u8267), _u8273), _u8275)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u8265, _u8267), tc_HOL_Obool)), _u8269), _u8271))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8265, tc_fun(_u8267, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u8265, tc_fun(tc_prod(_u8265, _u8267), tc_HOL_Obool), tc_fun(_u8267, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8267, tc_fun(tc_fun(tc_prod(_u8265, _u8267), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8265, _u8267), tc_HOL_Obool), tc_fun(_u8267, tc_HOL_Obool)), _u8265), c_COMBC(_u8267, tc_fun(tc_prod(_u8265, _u8267), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8267, tc_prod(_u8265, _u8267)), tc_fun(_u8267, tc_fun(tc_fun(tc_prod(_u8265, _u8267), tc_HOL_Obool), tc_HOL_Obool)), _u8265), hAPP(c_COMBB(tc_prod(_u8265, _u8267), tc_fun(tc_fun(tc_prod(_u8265, _u8267), tc_HOL_Obool), tc_HOL_Obool), _u8267), c_member(tc_prod(_u8265, _u8267)))), c_Product__Type_OPair(_u8265, _u8267)))), _u8269)), hAPP(hAPP(c_COMBC(_u8265, tc_fun(tc_prod(_u8265, _u8267), tc_HOL_Obool), tc_fun(_u8267, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8267, tc_fun(tc_fun(tc_prod(_u8265, _u8267), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8265, _u8267), tc_HOL_Obool), tc_fun(_u8267, tc_HOL_Obool)), _u8265), c_COMBC(_u8267, tc_fun(tc_prod(_u8265, _u8267), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8267, tc_prod(_u8265, _u8267)), tc_fun(_u8267, tc_fun(tc_fun(tc_prod(_u8265, _u8267), tc_HOL_Obool), tc_HOL_Obool)), _u8265), hAPP(c_COMBB(tc_prod(_u8265, _u8267), tc_fun(tc_fun(tc_prod(_u8265, _u8267), tc_HOL_Obool), tc_HOL_Obool), _u8267), c_member(tc_prod(_u8265, _u8267)))), c_Product__Type_OPair(_u8265, _u8267)))), _u8271)), _u8273), _u8275)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_inf__Int__eq2 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_inf__Int__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8282, tc_fun(_u8284, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u8282, tc_fun(tc_prod(_u8282, _u8284), tc_HOL_Obool), tc_fun(_u8284, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8284, tc_fun(tc_fun(tc_prod(_u8282, _u8284), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8282, _u8284), tc_HOL_Obool), tc_fun(_u8284, tc_HOL_Obool)), _u8282), c_COMBC(_u8284, tc_fun(tc_prod(_u8282, _u8284), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8284, tc_prod(_u8282, _u8284)), tc_fun(_u8284, tc_fun(tc_fun(tc_prod(_u8282, _u8284), tc_HOL_Obool), tc_HOL_Obool)), _u8282), hAPP(c_COMBB(tc_prod(_u8282, _u8284), tc_fun(tc_fun(tc_prod(_u8282, _u8284), tc_HOL_Obool), tc_HOL_Obool), _u8284), c_member(tc_prod(_u8282, _u8284)))), c_Product__Type_OPair(_u8282, _u8284)))), _u8286)), hAPP(hAPP(c_COMBC(_u8282, tc_fun(tc_prod(_u8282, _u8284), tc_HOL_Obool), tc_fun(_u8284, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8284, tc_fun(tc_fun(tc_prod(_u8282, _u8284), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8282, _u8284), tc_HOL_Obool), tc_fun(_u8284, tc_HOL_Obool)), _u8282), c_COMBC(_u8284, tc_fun(tc_prod(_u8282, _u8284), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8284, tc_prod(_u8282, _u8284)), tc_fun(_u8284, tc_fun(tc_fun(tc_prod(_u8282, _u8284), tc_HOL_Obool), tc_HOL_Obool)), _u8282), hAPP(c_COMBB(tc_prod(_u8282, _u8284), tc_fun(tc_fun(tc_prod(_u8282, _u8284), tc_HOL_Obool), tc_HOL_Obool), _u8284), c_member(tc_prod(_u8282, _u8284)))), c_Product__Type_OPair(_u8282, _u8284)))), _u8288)), _u8290), _u8292)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8282, _u8284)), hAPP(hAPP(c_Product__Type_OPair(_u8282, _u8284), _u8290), _u8292)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u8282, _u8284), tc_HOL_Obool)), _u8286), _u8288))) )).
% 20.36/20.55 cnf(fact_inf__Int__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8283, _u8285)), hAPP(hAPP(c_Product__Type_OPair(_u8283, _u8285), _u8291), _u8293)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u8283, _u8285), tc_HOL_Obool)), _u8287), _u8289))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8283, tc_fun(_u8285, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u8283, tc_fun(tc_prod(_u8283, _u8285), tc_HOL_Obool), tc_fun(_u8285, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8285, tc_fun(tc_fun(tc_prod(_u8283, _u8285), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8283, _u8285), tc_HOL_Obool), tc_fun(_u8285, tc_HOL_Obool)), _u8283), c_COMBC(_u8285, tc_fun(tc_prod(_u8283, _u8285), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8285, tc_prod(_u8283, _u8285)), tc_fun(_u8285, tc_fun(tc_fun(tc_prod(_u8283, _u8285), tc_HOL_Obool), tc_HOL_Obool)), _u8283), hAPP(c_COMBB(tc_prod(_u8283, _u8285), tc_fun(tc_fun(tc_prod(_u8283, _u8285), tc_HOL_Obool), tc_HOL_Obool), _u8285), c_member(tc_prod(_u8283, _u8285)))), c_Product__Type_OPair(_u8283, _u8285)))), _u8287)), hAPP(hAPP(c_COMBC(_u8283, tc_fun(tc_prod(_u8283, _u8285), tc_HOL_Obool), tc_fun(_u8285, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8285, tc_fun(tc_fun(tc_prod(_u8283, _u8285), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8283, _u8285), tc_HOL_Obool), tc_fun(_u8285, tc_HOL_Obool)), _u8283), c_COMBC(_u8285, tc_fun(tc_prod(_u8283, _u8285), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8285, tc_prod(_u8283, _u8285)), tc_fun(_u8285, tc_fun(tc_fun(tc_prod(_u8283, _u8285), tc_HOL_Obool), tc_HOL_Obool)), _u8283), hAPP(c_COMBB(tc_prod(_u8283, _u8285), tc_fun(tc_fun(tc_prod(_u8283, _u8285), tc_HOL_Obool), tc_HOL_Obool), _u8285), c_member(tc_prod(_u8283, _u8285)))), c_Product__Type_OPair(_u8283, _u8285)))), _u8289)), _u8291), _u8293)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_pred__equals__eq2 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_pred__equals__eq2-1, axiom, ( ( _u8302 = _u8304) | ( hAPP(hAPP(c_COMBC(_u8298, tc_fun(tc_prod(_u8298, _u8300), tc_HOL_Obool), tc_fun(_u8300, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8300, tc_fun(tc_fun(tc_prod(_u8298, _u8300), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8298, _u8300), tc_HOL_Obool), tc_fun(_u8300, tc_HOL_Obool)), _u8298), c_COMBC(_u8300, tc_fun(tc_prod(_u8298, _u8300), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8300, tc_prod(_u8298, _u8300)), tc_fun(_u8300, tc_fun(tc_fun(tc_prod(_u8298, _u8300), tc_HOL_Obool), tc_HOL_Obool)), _u8298), hAPP(c_COMBB(tc_prod(_u8298, _u8300), tc_fun(tc_fun(tc_prod(_u8298, _u8300), tc_HOL_Obool), tc_HOL_Obool), _u8300), c_member(tc_prod(_u8298, _u8300)))), c_Product__Type_OPair(_u8298, _u8300)))), _u8302) != hAPP(hAPP(c_COMBC(_u8298, tc_fun(tc_prod(_u8298, _u8300), tc_HOL_Obool), tc_fun(_u8300, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8300, tc_fun(tc_fun(tc_prod(_u8298, _u8300), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8298, _u8300), tc_HOL_Obool), tc_fun(_u8300, tc_HOL_Obool)), _u8298), c_COMBC(_u8300, tc_fun(tc_prod(_u8298, _u8300), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8300, tc_prod(_u8298, _u8300)), tc_fun(_u8300, tc_fun(tc_fun(tc_prod(_u8298, _u8300), tc_HOL_Obool), tc_HOL_Obool)), _u8298), hAPP(c_COMBB(tc_prod(_u8298, _u8300), tc_fun(tc_fun(tc_prod(_u8298, _u8300), tc_HOL_Obool), tc_HOL_Obool), _u8300), c_member(tc_prod(_u8298, _u8300)))), c_Product__Type_OPair(_u8298, _u8300)))), _u8304)) )).
% 20.36/20.55 cnf(fact_pred__equals__eq2-2, axiom, ( ( _u8303 != _u8305) | ( hAPP(hAPP(c_COMBC(_u8299, tc_fun(tc_prod(_u8299, _u8301), tc_HOL_Obool), tc_fun(_u8301, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8301, tc_fun(tc_fun(tc_prod(_u8299, _u8301), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8299, _u8301), tc_HOL_Obool), tc_fun(_u8301, tc_HOL_Obool)), _u8299), c_COMBC(_u8301, tc_fun(tc_prod(_u8299, _u8301), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8301, tc_prod(_u8299, _u8301)), tc_fun(_u8301, tc_fun(tc_fun(tc_prod(_u8299, _u8301), tc_HOL_Obool), tc_HOL_Obool)), _u8299), hAPP(c_COMBB(tc_prod(_u8299, _u8301), tc_fun(tc_fun(tc_prod(_u8299, _u8301), tc_HOL_Obool), tc_HOL_Obool), _u8301), c_member(tc_prod(_u8299, _u8301)))), c_Product__Type_OPair(_u8299, _u8301)))), _u8303) = hAPP(hAPP(c_COMBC(_u8299, tc_fun(tc_prod(_u8299, _u8301), tc_HOL_Obool), tc_fun(_u8301, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8301, tc_fun(tc_fun(tc_prod(_u8299, _u8301), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8299, _u8301), tc_HOL_Obool), tc_fun(_u8301, tc_HOL_Obool)), _u8299), c_COMBC(_u8301, tc_fun(tc_prod(_u8299, _u8301), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8301, tc_prod(_u8299, _u8301)), tc_fun(_u8301, tc_fun(tc_fun(tc_prod(_u8299, _u8301), tc_HOL_Obool), tc_HOL_Obool)), _u8299), hAPP(c_COMBB(tc_prod(_u8299, _u8301), tc_fun(tc_fun(tc_prod(_u8299, _u8301), tc_HOL_Obool), tc_HOL_Obool), _u8301), c_member(tc_prod(_u8299, _u8301)))), c_Product__Type_OPair(_u8299, _u8301)))), _u8305)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_less__eq__Suc__le__raw ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_less__eq__Suc__le__raw-1, axiom, ( ( hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8306) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8306))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_sup__fun__def ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_sup__fun__def-1, axiom, ( ~class_Lattices_Olattice(_u8307) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8308, _u8307)), _u8309), _u8310), _u8311) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8307), hAPP(_u8309, _u8311)), hAPP(_u8310, _u8311))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_bot__fun__def ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_bot__fun__def-1, axiom, ( ~class_Orderings_Obot(_u8312) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u8313, _u8312)), _u8314) = c_Orderings_Obot__class_Obot(_u8312)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_bot__empty__eq2 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_bot__empty__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u8319, tc_fun(_u8321, tc_HOL_Obool))), _u8323), _u8325)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8319, _u8321)), hAPP(hAPP(c_Product__Type_OPair(_u8319, _u8321), _u8323), _u8325)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u8319, _u8321), tc_HOL_Obool)))) )).
% 20.36/20.55 cnf(fact_bot__empty__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8320, _u8322)), hAPP(hAPP(c_Product__Type_OPair(_u8320, _u8322), _u8324), _u8326)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u8320, _u8322), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u8320, tc_fun(_u8322, tc_HOL_Obool))), _u8324), _u8326)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_bot__empty__eq ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_bot__empty__eq-1, axiom, ( ~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u8329, tc_HOL_Obool)), _u8331)) | hBOOL(hAPP(hAPP(c_member(_u8329), _u8331), c_Orderings_Obot__class_Obot(tc_fun(_u8329, tc_HOL_Obool)))) )).
% 20.36/20.55 cnf(fact_bot__empty__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8330), _u8332), c_Orderings_Obot__class_Obot(tc_fun(_u8330, tc_HOL_Obool)))) | hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u8330, tc_HOL_Obool)), _u8332)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_of__nat__setsum ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_of__nat__setsum-1, axiom, ( ~class_Rings_Osemiring__1(_u8333) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8333), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8334, tc_Nat_Onat), _u8335), _u8336)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8334, _u8333), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u8333, _u8334), c_Nat_Osemiring__1__class_Oof__nat(_u8333)), _u8335)), _u8336)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_transfer__nat__int__sum__prod2_I1_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_transfer__nat__int__sum__prod2_I1_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8337, tc_Nat_Onat), _u8338), _u8339) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8337, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u8337), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8338)), _u8339))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_card__eq__setsum ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_card__eq__setsum-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u8340), _u8341) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8340, tc_Nat_Onat), hAPP(c_COMBK(tc_Nat_Onat, _u8340), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u8341)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_of__nat__setprod ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_of__nat__setprod-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8342) | ~class_Rings_Osemiring__1(_u8342) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8342), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8343, tc_Nat_Onat), _u8344), _u8345)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8343, _u8342), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u8342, _u8343), c_Nat_Osemiring__1__class_Oof__nat(_u8342)), _u8344)), _u8345)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_transfer__nat__int__sum__prod2_I2_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_transfer__nat__int__sum__prod2_I2_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8346, tc_Nat_Onat), _u8347), _u8348) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8346, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u8346), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8347)), _u8348))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_setsum__delta_H ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_setsum__delta_H-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8349) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8350), _u8351)) | ~hBOOL(hAPP(hAPP(c_member(_u8350), _u8352), _u8351)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8350, _u8349), hAPP(hAPP(c_COMBC(_u8350, _u8349, _u8349), hAPP(hAPP(c_COMBS(_u8350, _u8349, tc_fun(_u8349, _u8349)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8349, tc_fun(_u8349, _u8349)), _u8350), c_If(_u8349)), hAPP(c_fequal, _u8352))), _u8353)), c_Groups_Ozero__class_Ozero(_u8349))), _u8351) = hAPP(_u8353, _u8352)) )).
% 20.36/20.55 cnf(fact_setsum__delta_H-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8349) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8350), _u8351)) | hBOOL(hAPP(hAPP(c_member(_u8350), _u8352), _u8351)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8350, _u8349), hAPP(hAPP(c_COMBC(_u8350, _u8349, _u8349), hAPP(hAPP(c_COMBS(_u8350, _u8349, tc_fun(_u8349, _u8349)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8349, tc_fun(_u8349, _u8349)), _u8350), c_If(_u8349)), hAPP(c_fequal, _u8352))), _u8353)), c_Groups_Ozero__class_Ozero(_u8349))), _u8351) = c_Groups_Ozero__class_Ozero(_u8349)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_setsum__delta ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_setsum__delta-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8354) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8355), _u8356)) | ~hBOOL(hAPP(hAPP(c_member(_u8355), _u8357), _u8356)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8355, _u8354), hAPP(hAPP(c_COMBC(_u8355, _u8354, _u8354), hAPP(hAPP(c_COMBS(_u8355, _u8354, tc_fun(_u8354, _u8354)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8354, tc_fun(_u8354, _u8354)), _u8355), c_If(_u8354)), hAPP(hAPP(c_COMBC(_u8355, _u8355, tc_HOL_Obool), c_fequal), _u8357))), _u8358)), c_Groups_Ozero__class_Ozero(_u8354))), _u8356) = hAPP(_u8358, _u8357)) )).
% 20.36/20.55 cnf(fact_setsum__delta-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8354) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8355), _u8356)) | hBOOL(hAPP(hAPP(c_member(_u8355), _u8357), _u8356)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8355, _u8354), hAPP(hAPP(c_COMBC(_u8355, _u8354, _u8354), hAPP(hAPP(c_COMBS(_u8355, _u8354, tc_fun(_u8354, _u8354)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8354, tc_fun(_u8354, _u8354)), _u8355), c_If(_u8354)), hAPP(hAPP(c_COMBC(_u8355, _u8355, tc_HOL_Obool), c_fequal), _u8357))), _u8358)), c_Groups_Ozero__class_Ozero(_u8354))), _u8356) = c_Groups_Ozero__class_Ozero(_u8354)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_setprod__delta_H ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_setprod__delta_H-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8359) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8360), _u8361)) | ~hBOOL(hAPP(hAPP(c_member(_u8360), _u8362), _u8361)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8360, _u8359), hAPP(hAPP(c_COMBC(_u8360, _u8359, _u8359), hAPP(hAPP(c_COMBS(_u8360, _u8359, tc_fun(_u8359, _u8359)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8359, tc_fun(_u8359, _u8359)), _u8360), c_If(_u8359)), hAPP(c_fequal, _u8362))), _u8363)), c_Groups_Oone__class_Oone(_u8359))), _u8361) = hAPP(_u8363, _u8362)) )).
% 20.36/20.55 cnf(fact_setprod__delta_H-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8359) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8360), _u8361)) | hBOOL(hAPP(hAPP(c_member(_u8360), _u8362), _u8361)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8360, _u8359), hAPP(hAPP(c_COMBC(_u8360, _u8359, _u8359), hAPP(hAPP(c_COMBS(_u8360, _u8359, tc_fun(_u8359, _u8359)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8359, tc_fun(_u8359, _u8359)), _u8360), c_If(_u8359)), hAPP(c_fequal, _u8362))), _u8363)), c_Groups_Oone__class_Oone(_u8359))), _u8361) = c_Groups_Oone__class_Oone(_u8359)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_setprod__delta ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_setprod__delta-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8364) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8365), _u8366)) | ~hBOOL(hAPP(hAPP(c_member(_u8365), _u8367), _u8366)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8365, _u8364), hAPP(hAPP(c_COMBC(_u8365, _u8364, _u8364), hAPP(hAPP(c_COMBS(_u8365, _u8364, tc_fun(_u8364, _u8364)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8364, tc_fun(_u8364, _u8364)), _u8365), c_If(_u8364)), hAPP(hAPP(c_COMBC(_u8365, _u8365, tc_HOL_Obool), c_fequal), _u8367))), _u8368)), c_Groups_Oone__class_Oone(_u8364))), _u8366) = hAPP(_u8368, _u8367)) )).
% 20.36/20.55 cnf(fact_setprod__delta-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8364) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8365), _u8366)) | hBOOL(hAPP(hAPP(c_member(_u8365), _u8367), _u8366)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8365, _u8364), hAPP(hAPP(c_COMBC(_u8365, _u8364, _u8364), hAPP(hAPP(c_COMBS(_u8365, _u8364, tc_fun(_u8364, _u8364)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8364, tc_fun(_u8364, _u8364)), _u8365), c_If(_u8364)), hAPP(hAPP(c_COMBC(_u8365, _u8365, tc_HOL_Obool), c_fequal), _u8367))), _u8368)), c_Groups_Oone__class_Oone(_u8364))), _u8366) = c_Groups_Oone__class_Oone(_u8364)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_vimage__const ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_vimage__const-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8373), _u8375), _u8377)) | ( hAPP(c_Set_Ovimage(_u8379, _u8373, hAPP(c_COMBK(_u8373, _u8379), _u8375)), _u8377) = c_Orderings_Otop__class_Otop(tc_fun(_u8379, tc_HOL_Obool))) )).
% 20.36/20.55 cnf(fact_vimage__const-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u8374), _u8376), _u8378)) | ( hAPP(c_Set_Ovimage(_u8380, _u8374, hAPP(c_COMBK(_u8374, _u8380), _u8376)), _u8378) = c_Orderings_Obot__class_Obot(tc_fun(_u8380, tc_HOL_Obool))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_setsum__constant ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_setsum__constant-1, axiom, ( ~class_Rings_Osemiring__1(_u8381) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8382, _u8381), hAPP(c_COMBK(_u8381, _u8382), _u8383)), _u8384) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8381), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8381), hAPP(c_Finite__Set_Ocard(_u8382), _u8384))), _u8383)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_power__number__of__even ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_power__number__of__even-1, axiom, ( ~class_Int_Onumber__ring(_u8385) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8385), _u8386), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u8387))) = hAPP(hAPP(c_HOL_OLet(_u8385, _u8385), hAPP(hAPP(c_Power_Opower__class_Opower(_u8385), _u8386), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8387))), hAPP(hAPP(c_COMBS(_u8385, _u8385, _u8385), c_Groups_Otimes__class_Otimes(_u8385)), c_COMBI(_u8385)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_fold__image__distrib ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_fold__image__distrib-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8388) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8389), _u8390)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u8388, _u8389, c_Groups_Otimes__class_Otimes(_u8388)), hAPP(hAPP(c_COMBS(_u8389, _u8388, _u8388), hAPP(hAPP(c_COMBB(_u8388, tc_fun(_u8388, _u8388), _u8389), c_Groups_Otimes__class_Otimes(_u8388)), _u8391)), _u8392)), c_Groups_Oone__class_Oone(_u8388)), _u8390) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8388), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u8388, _u8389, c_Groups_Otimes__class_Otimes(_u8388)), _u8391), c_Groups_Oone__class_Oone(_u8388)), _u8390)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u8388, _u8389, c_Groups_Otimes__class_Otimes(_u8388)), _u8392), c_Groups_Oone__class_Oone(_u8388)), _u8390))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_setprod__constant ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_setprod__constant-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8393) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8394), _u8395)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8394, _u8393), hAPP(c_COMBK(_u8393, _u8394), _u8396)), _u8395) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8393), _u8396), hAPP(c_Finite__Set_Ocard(_u8394), _u8395))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_zpower__number__of__even ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_zpower__number__of__even-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8397), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u8398))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8397), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8398))), 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)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_pred__subset__eq2 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_pred__subset__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8403, tc_fun(_u8405, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u8403, tc_fun(tc_prod(_u8403, _u8405), tc_HOL_Obool), tc_fun(_u8405, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8405, tc_fun(tc_fun(tc_prod(_u8403, _u8405), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8403, _u8405), tc_HOL_Obool), tc_fun(_u8405, tc_HOL_Obool)), _u8403), c_COMBC(_u8405, tc_fun(tc_prod(_u8403, _u8405), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8405, tc_prod(_u8403, _u8405)), tc_fun(_u8405, tc_fun(tc_fun(tc_prod(_u8403, _u8405), tc_HOL_Obool), tc_HOL_Obool)), _u8403), hAPP(c_COMBB(tc_prod(_u8403, _u8405), tc_fun(tc_fun(tc_prod(_u8403, _u8405), tc_HOL_Obool), tc_HOL_Obool), _u8405), c_member(tc_prod(_u8403, _u8405)))), c_Product__Type_OPair(_u8403, _u8405)))), _u8407)), hAPP(hAPP(c_COMBC(_u8403, tc_fun(tc_prod(_u8403, _u8405), tc_HOL_Obool), tc_fun(_u8405, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8405, tc_fun(tc_fun(tc_prod(_u8403, _u8405), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8403, _u8405), tc_HOL_Obool), tc_fun(_u8405, tc_HOL_Obool)), _u8403), c_COMBC(_u8405, tc_fun(tc_prod(_u8403, _u8405), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8405, tc_prod(_u8403, _u8405)), tc_fun(_u8405, tc_fun(tc_fun(tc_prod(_u8403, _u8405), tc_HOL_Obool), tc_HOL_Obool)), _u8403), hAPP(c_COMBB(tc_prod(_u8403, _u8405), tc_fun(tc_fun(tc_prod(_u8403, _u8405), tc_HOL_Obool), tc_HOL_Obool), _u8405), c_member(tc_prod(_u8403, _u8405)))), c_Product__Type_OPair(_u8403, _u8405)))), _u8409))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u8403, _u8405), tc_HOL_Obool)), _u8407), _u8409)) )).
% 20.36/20.55 cnf(fact_pred__subset__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u8404, _u8406), tc_HOL_Obool)), _u8408), _u8410)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8404, tc_fun(_u8406, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u8404, tc_fun(tc_prod(_u8404, _u8406), tc_HOL_Obool), tc_fun(_u8406, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8406, tc_fun(tc_fun(tc_prod(_u8404, _u8406), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8404, _u8406), tc_HOL_Obool), tc_fun(_u8406, tc_HOL_Obool)), _u8404), c_COMBC(_u8406, tc_fun(tc_prod(_u8404, _u8406), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8406, tc_prod(_u8404, _u8406)), tc_fun(_u8406, tc_fun(tc_fun(tc_prod(_u8404, _u8406), tc_HOL_Obool), tc_HOL_Obool)), _u8404), hAPP(c_COMBB(tc_prod(_u8404, _u8406), tc_fun(tc_fun(tc_prod(_u8404, _u8406), tc_HOL_Obool), tc_HOL_Obool), _u8406), c_member(tc_prod(_u8404, _u8406)))), c_Product__Type_OPair(_u8404, _u8406)))), _u8408)), hAPP(hAPP(c_COMBC(_u8404, tc_fun(tc_prod(_u8404, _u8406), tc_HOL_Obool), tc_fun(_u8406, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8406, tc_fun(tc_fun(tc_prod(_u8404, _u8406), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8404, _u8406), tc_HOL_Obool), tc_fun(_u8406, tc_HOL_Obool)), _u8404), c_COMBC(_u8406, tc_fun(tc_prod(_u8404, _u8406), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8406, tc_prod(_u8404, _u8406)), tc_fun(_u8406, tc_fun(tc_fun(tc_prod(_u8404, _u8406), tc_HOL_Obool), tc_HOL_Obool)), _u8404), hAPP(c_COMBB(tc_prod(_u8404, _u8406), tc_fun(tc_fun(tc_prod(_u8404, _u8406), tc_HOL_Obool), tc_HOL_Obool), _u8406), c_member(tc_prod(_u8404, _u8406)))), c_Product__Type_OPair(_u8404, _u8406)))), _u8410))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_falseE ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_falseE-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u8411, _u8412, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u8411)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u8411), hAPP(c_COMBK(tc_fun(tc_Com_Ostate, tc_HOL_Obool), _u8411), hAPP(c_COMBK(tc_HOL_Obool, tc_Com_Ostate), c_fFalse))), _u8413), _u8414)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u8411), tc_HOL_Obool)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Powp__Pow__eq ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Powp__Pow__eq-1, axiom, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u8418, hAPP(hAPP(c_COMBC(_u8418, tc_fun(_u8418, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8418)), _u8420)), _u8422)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u8418, tc_HOL_Obool)), _u8422), hAPP(c_Set_OPow(_u8418), _u8420))) )).
% 20.36/20.55 cnf(fact_Powp__Pow__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u8419, tc_HOL_Obool)), _u8423), hAPP(c_Set_OPow(_u8419), _u8421))) | hBOOL(hAPP(c_Predicate_OPowp(_u8419, hAPP(hAPP(c_COMBC(_u8419, tc_fun(_u8419, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8419)), _u8421)), _u8423)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_setsum__restrict__set ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_setsum__restrict__set-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8424) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8425), _u8426)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8425, _u8424), _u8427), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8425, tc_HOL_Obool)), _u8426), _u8428)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8425, _u8424), hAPP(hAPP(c_COMBC(_u8425, _u8424, _u8424), hAPP(hAPP(c_COMBS(_u8425, _u8424, tc_fun(_u8424, _u8424)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8424, tc_fun(_u8424, _u8424)), _u8425), c_If(_u8424)), hAPP(hAPP(c_COMBC(_u8425, tc_fun(_u8425, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8425)), _u8428))), _u8427)), c_Groups_Ozero__class_Ozero(_u8424))), _u8426)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_power__number__of__even__number__of ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_power__number__of__even__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u8429) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8429), hAPP(c_Int_Onumber__class_Onumber__of(_u8429), _u8430)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u8431))) = hAPP(hAPP(c_HOL_OLet(_u8429, _u8429), hAPP(hAPP(c_Power_Opower__class_Opower(_u8429), hAPP(c_Int_Onumber__class_Onumber__of(_u8429), _u8430)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8431))), hAPP(hAPP(c_COMBS(_u8429, _u8429, _u8429), c_Groups_Otimes__class_Otimes(_u8429)), c_COMBI(_u8429)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_card_Oeq__fold__g ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_card_Oeq__fold__g-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8432), _u8433)) | ( hAPP(c_Finite__Set_Ocard(_u8432), _u8433) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u8432, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u8432), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8433)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_card__def ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_card__def-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8436), _u8438)) | ( hAPP(c_Finite__Set_Ocard(_u8436), _u8438) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u8436, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u8436), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8438)) )).
% 20.36/20.55 cnf(fact_card__def-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u8437), _u8439)) | ( hAPP(c_Finite__Set_Ocard(_u8437), _u8439) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_fun__left__comm__idem__remove ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_fun__left__comm__idem__remove-1, axiom, ( c_Finite__Set_Ofun__left__comm__idem(_u8440, tc_fun(_u8440, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u8440, tc_HOL_Obool), tc_fun(tc_fun(_u8440, tc_HOL_Obool), tc_fun(_u8440, tc_HOL_Obool)), _u8440), hAPP(c_COMBC(tc_fun(_u8440, tc_HOL_Obool), tc_fun(_u8440, tc_HOL_Obool), tc_fun(_u8440, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u8440, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u8440, tc_fun(_u8440, tc_HOL_Obool), tc_fun(_u8440, tc_HOL_Obool)), c_Set_Oinsert(_u8440)), c_Orderings_Obot__class_Obot(tc_fun(_u8440, tc_HOL_Obool))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_vimage__if ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_vimage__if-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8447), _u8449), _u8451)) | ~hBOOL(hAPP(hAPP(c_member(_u8447), _u8453), _u8451)) | ( hAPP(c_Set_Ovimage(_u8455, _u8447, hAPP(hAPP(c_COMBC(_u8455, _u8447, _u8447), hAPP(hAPP(c_COMBC(_u8455, _u8447, tc_fun(_u8447, _u8447)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8447, tc_fun(_u8447, _u8447)), _u8455), c_If(_u8447)), hAPP(hAPP(c_COMBC(_u8455, tc_fun(_u8455, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8455)), _u8457))), _u8449)), _u8453)), _u8451) = c_Orderings_Otop__class_Otop(tc_fun(_u8455, tc_HOL_Obool))) )).
% 20.36/20.55 cnf(fact_vimage__if-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8447), _u8449), _u8451)) | hBOOL(hAPP(hAPP(c_member(_u8447), _u8453), _u8451)) | ( hAPP(c_Set_Ovimage(_u8455, _u8447, hAPP(hAPP(c_COMBC(_u8455, _u8447, _u8447), hAPP(hAPP(c_COMBC(_u8455, _u8447, tc_fun(_u8447, _u8447)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8447, tc_fun(_u8447, _u8447)), _u8455), c_If(_u8447)), hAPP(hAPP(c_COMBC(_u8455, tc_fun(_u8455, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8455)), _u8457))), _u8449)), _u8453)), _u8451) = _u8457) )).
% 20.36/20.55 cnf(fact_vimage__if-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u8448), _u8450), _u8452)) | ~hBOOL(hAPP(hAPP(c_member(_u8448), _u8454), _u8452)) | ( hAPP(c_Set_Ovimage(_u8456, _u8448, hAPP(hAPP(c_COMBC(_u8456, _u8448, _u8448), hAPP(hAPP(c_COMBC(_u8456, _u8448, tc_fun(_u8448, _u8448)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8448, tc_fun(_u8448, _u8448)), _u8456), c_If(_u8448)), hAPP(hAPP(c_COMBC(_u8456, tc_fun(_u8456, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8456)), _u8458))), _u8450)), _u8454)), _u8452) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8456, tc_HOL_Obool)), _u8458)) )).
% 20.36/20.55 cnf(fact_vimage__if-4, axiom, ( hBOOL(hAPP(hAPP(c_member(_u8448), _u8450), _u8452)) | hBOOL(hAPP(hAPP(c_member(_u8448), _u8454), _u8452)) | ( hAPP(c_Set_Ovimage(_u8456, _u8448, hAPP(hAPP(c_COMBC(_u8456, _u8448, _u8448), hAPP(hAPP(c_COMBC(_u8456, _u8448, tc_fun(_u8448, _u8448)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8448, tc_fun(_u8448, _u8448)), _u8456), c_If(_u8448)), hAPP(hAPP(c_COMBC(_u8456, tc_fun(_u8456, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8456)), _u8458))), _u8450)), _u8454)), _u8452) = c_Orderings_Obot__class_Obot(tc_fun(_u8456, tc_HOL_Obool))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_diff__nat__eq__if ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_diff__nat__eq__if-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u8461)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u8463)), hAPP(c_Int_Onat, _u8461)) = hAPP(c_Int_Onat, _u8463)) )).
% 20.36/20.55 cnf(fact_diff__nat__eq__if-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u8462)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u8464)), hAPP(c_Int_Onat, _u8462)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8464), _u8462)), 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))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_LoopF ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_LoopF-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u8465, _u8466, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u8465)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u8465), hAPP(hAPP(c_COMBC(_u8465, 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)), _u8465), 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)), _u8465), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Com_Ostate), c_fconj)), _u8467))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate), c_fNot), _u8468))), c_Com_Ocom_OWhile(_u8468, _u8469)), _u8467)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u8465), tc_HOL_Obool)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_minus__fold__remove ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_minus__fold__remove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8470), _u8471)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8470, tc_HOL_Obool)), _u8472), _u8471) = hAPP(hAPP(c_Finite__Set_Ofold(_u8470, tc_fun(_u8470, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u8470, tc_HOL_Obool), tc_fun(tc_fun(_u8470, tc_HOL_Obool), tc_fun(_u8470, tc_HOL_Obool)), _u8470), hAPP(c_COMBC(tc_fun(_u8470, tc_HOL_Obool), tc_fun(_u8470, tc_HOL_Obool), tc_fun(_u8470, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u8470, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u8470, tc_fun(_u8470, tc_HOL_Obool), tc_fun(_u8470, tc_HOL_Obool)), c_Set_Oinsert(_u8470)), c_Orderings_Obot__class_Obot(tc_fun(_u8470, tc_HOL_Obool))))), _u8472), _u8471)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_eq__number__of__Suc ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_eq__number__of__Suc-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8475) != hAPP(c_Nat_OSuc, _u8477)) | 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(_u8475))), 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)), _u8477))))) )).
% 20.36/20.55 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(_u8476))), 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)), _u8478))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8476) = hAPP(c_Nat_OSuc, _u8478)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Suc__eq__number__of ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Suc__eq__number__of-1, axiom, ( ( hAPP(c_Nat_OSuc, _u8481) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8483)) | 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(_u8483))), 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)), _u8481))))) )).
% 20.36/20.55 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(_u8484))), 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)), _u8482))))) | ( hAPP(c_Nat_OSuc, _u8482) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8484)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_nat__number__of__Bit1 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_nat__number__of__Bit1-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8486))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u8486)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.55 cnf(fact_nat__number__of__Bit1-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8487))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u8487)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8487)), 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))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_less__Suc__number__of ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_less__Suc__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8490)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8492))) | 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(_u8492))), 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), _u8490)), c_Int_Onat))))) )).
% 20.36/20.55 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(_u8493))), 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), _u8491)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8491)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8493))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_less__number__of__Suc ( axiom ) converted to clauses:
% 20.36/20.55 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), _u8496)), hAPP(c_Nat_OSuc, _u8498))) | 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(_u8496))), 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)), _u8498)))) )).
% 20.36/20.55 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(_u8497))), 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)), _u8499)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8497)), hAPP(c_Nat_OSuc, _u8499))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_le__number__of__Suc ( axiom ) converted to clauses:
% 20.36/20.55 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), _u8502)), hAPP(c_Nat_OSuc, _u8504))) | 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(_u8502))), 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)), _u8504)))) )).
% 20.36/20.55 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(_u8503))), 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)), _u8505)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8503)), hAPP(c_Nat_OSuc, _u8505))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_le__Suc__number__of ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_le__Suc__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8508)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8510))) | 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(_u8510))), 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), _u8508)), c_Int_Onat))))) )).
% 20.36/20.55 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(_u8511))), 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), _u8509)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8509)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8511))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_power__number__of__odd ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_power__number__of__odd-1, axiom, ( ~class_Int_Onumber__ring(_u8512) | ~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), _u8513))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8512), _u8514), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u8513))) = hAPP(hAPP(c_HOL_OLet(_u8512, _u8512), hAPP(hAPP(c_Power_Opower__class_Opower(_u8512), _u8514), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8513))), hAPP(hAPP(c_COMBS(_u8512, _u8512, _u8512), hAPP(hAPP(c_COMBB(_u8512, tc_fun(_u8512, _u8512), _u8512), c_Groups_Otimes__class_Otimes(_u8512)), hAPP(c_Groups_Otimes__class_Otimes(_u8512), _u8514))), c_COMBI(_u8512)))) )).
% 20.36/20.55 cnf(fact_power__number__of__odd-2, axiom, ( ~class_Int_Onumber__ring(_u8512) | 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), _u8513))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8512), _u8514), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u8513))) = c_Groups_Oone__class_Oone(_u8512)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_setprod__gen__delta ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_setprod__gen__delta-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8515) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8516), _u8517)) | ~hBOOL(hAPP(hAPP(c_member(_u8516), _u8518), _u8517)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8516, _u8515), hAPP(hAPP(c_COMBC(_u8516, _u8515, _u8515), hAPP(hAPP(c_COMBS(_u8516, _u8515, tc_fun(_u8515, _u8515)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8515, tc_fun(_u8515, _u8515)), _u8516), c_If(_u8515)), hAPP(hAPP(c_COMBC(_u8516, _u8516, tc_HOL_Obool), c_fequal), _u8518))), _u8519)), _u8520)), _u8517) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8515), hAPP(_u8519, _u8518)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8515), _u8520), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u8516), _u8517)), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 20.36/20.55 cnf(fact_setprod__gen__delta-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8515) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8516), _u8517)) | hBOOL(hAPP(hAPP(c_member(_u8516), _u8518), _u8517)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8516, _u8515), hAPP(hAPP(c_COMBC(_u8516, _u8515, _u8515), hAPP(hAPP(c_COMBS(_u8516, _u8515, tc_fun(_u8515, _u8515)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8515, tc_fun(_u8515, _u8515)), _u8516), c_If(_u8515)), hAPP(hAPP(c_COMBC(_u8516, _u8516, tc_HOL_Obool), c_fequal), _u8518))), _u8519)), _u8520)), _u8517) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8515), _u8520), hAPP(c_Finite__Set_Ocard(_u8516), _u8517))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_zpower__number__of__odd ( axiom ) converted to clauses:
% 20.36/20.55 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), _u8523))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8525), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u8523))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8525), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8523))), 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), _u8525))), c_COMBI(tc_Int_Oint)))) )).
% 20.36/20.55 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), _u8524))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8526), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u8524))) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__number__of__Suc ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__number__of__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8527)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8528)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u8528))), 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), _u8527)), c_Int_Onat))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__Suc__number__of ( axiom ) converted to clauses:
% 20.36/20.55 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), _u8529)), hAPP(c_Nat_OSuc, _u8530)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u8529))), 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)), _u8530))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_power__number__of__odd__number__of ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_power__number__of__odd__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u8531) | ~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), _u8532))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8531), hAPP(c_Int_Onumber__class_Onumber__of(_u8531), _u8533)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u8532))) = hAPP(hAPP(c_HOL_OLet(_u8531, _u8531), hAPP(hAPP(c_Power_Opower__class_Opower(_u8531), hAPP(c_Int_Onumber__class_Onumber__of(_u8531), _u8533)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8532))), hAPP(hAPP(c_COMBS(_u8531, _u8531, _u8531), hAPP(hAPP(c_COMBB(_u8531, tc_fun(_u8531, _u8531), _u8531), c_Groups_Otimes__class_Otimes(_u8531)), hAPP(c_Groups_Otimes__class_Otimes(_u8531), hAPP(c_Int_Onumber__class_Onumber__of(_u8531), _u8533)))), c_COMBI(_u8531)))) )).
% 20.36/20.55 cnf(fact_power__number__of__odd__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u8531) | 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), _u8532))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8531), hAPP(c_Int_Onumber__class_Onumber__of(_u8531), _u8533)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u8532))) = c_Groups_Oone__class_Oone(_u8531)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_diff__nat__number__of ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_diff__nat__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8536), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8538)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8536)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8538)) )).
% 20.36/20.55 cnf(fact_diff__nat__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8537), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8539)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8537)) = 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), _u8539), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8537)))), 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))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Nitpick_Oone__frac__def ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Nitpick_Oone__frac__def-1, axiom, ( ( c_Nitpick_Oone__frac(_u8540) = c_Nitpick_OAbs__Frac(_u8540, 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)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Nitpick_Onumber__of__frac__def ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Nitpick_Onumber__of__frac__def-1, axiom, ( ( c_Nitpick_Onumber__of__frac(_u8541, _u8542) = c_Nitpick_OAbs__Frac(_u8541, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8542), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Image__singleton__iff ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Image__singleton__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8548), _u8550), hAPP(c_Relation_OImage(_u8552, _u8548, _u8554), hAPP(hAPP(c_Set_Oinsert(_u8552), _u8556), c_Orderings_Obot__class_Obot(tc_fun(_u8552, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8552, _u8548)), hAPP(hAPP(c_Product__Type_OPair(_u8552, _u8548), _u8556), _u8550)), _u8554)) )).
% 20.36/20.55 cnf(fact_Image__singleton__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8553, _u8549)), hAPP(hAPP(c_Product__Type_OPair(_u8553, _u8549), _u8557), _u8551)), _u8555)) | hBOOL(hAPP(hAPP(c_member(_u8549), _u8551), hAPP(c_Relation_OImage(_u8553, _u8549, _u8555), hAPP(hAPP(c_Set_Oinsert(_u8553), _u8557), c_Orderings_Obot__class_Obot(tc_fun(_u8553, tc_HOL_Obool)))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_norm__frac_Osimps ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_norm__frac_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8560), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u8562, _u8560) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8562), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8560))) )).
% 20.36/20.55 cnf(fact_norm__frac_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8561), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u8563, _u8561) = 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))) | ( _u8563 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.55 cnf(fact_norm__frac_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8561), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u8563, _u8561) = 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))) | ( _u8561 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.55 cnf(fact_norm__frac_Osimps-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8561), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u8563 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u8561 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u8563, _u8561) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u8563), _u8561)), 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), _u8563))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8561)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_sup2CI ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_sup2CI-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8568, tc_fun(_u8569, tc_HOL_Obool))), _u8567), _u8564), _u8565), _u8566)) | ~hBOOL(hAPP(hAPP(_u8564, _u8565), _u8566)) )).
% 20.36/20.55 cnf(fact_sup2CI-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8568, tc_fun(_u8569, tc_HOL_Obool))), _u8567), _u8564), _u8565), _u8566)) | ~hBOOL(hAPP(hAPP(_u8567, _u8565), _u8566)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_sup2E ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_sup2E-1, axiom, ( hBOOL(hAPP(hAPP(_u8572, _u8574), _u8575)) | hBOOL(hAPP(hAPP(_u8573, _u8574), _u8575)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8570, tc_fun(_u8571, tc_HOL_Obool))), _u8572), _u8573), _u8574), _u8575)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_inf2I ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_inf2I-1, axiom, ( ~hBOOL(hAPP(hAPP(_u8576, _u8577), _u8578)) | ~hBOOL(hAPP(hAPP(_u8579, _u8577), _u8578)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8580, tc_fun(_u8581, tc_HOL_Obool))), _u8576), _u8579), _u8577), _u8578)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_inf2E ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_inf2E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8582, tc_fun(_u8583, tc_HOL_Obool))), _u8584), _u8585), _u8586), _u8587)) | hBOOL(hAPP(hAPP(_u8584, _u8586), _u8587)) )).
% 20.36/20.55 cnf(fact_inf2E-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8582, tc_fun(_u8583, tc_HOL_Obool))), _u8584), _u8585), _u8586), _u8587)) | hBOOL(hAPP(hAPP(_u8585, _u8586), _u8587)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_bot2E ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_bot2E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u8588, tc_fun(_u8589, tc_HOL_Obool))), _u8590), _u8591)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_sup2I2 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_sup2I2-1, axiom, ( ~hBOOL(hAPP(hAPP(_u8592, _u8593), _u8594)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8595, tc_fun(_u8596, tc_HOL_Obool))), _u8597), _u8592), _u8593), _u8594)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_sup2I1 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_sup2I1-1, axiom, ( ~hBOOL(hAPP(hAPP(_u8598, _u8599), _u8600)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8601, tc_fun(_u8602, tc_HOL_Obool))), _u8598), _u8603), _u8599), _u8600)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_inf2D1 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_inf2D1-1, axiom, ( hBOOL(hAPP(hAPP(_u8606, _u8608), _u8609)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8604, tc_fun(_u8605, tc_HOL_Obool))), _u8606), _u8607), _u8608), _u8609)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_inf2D2 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_inf2D2-1, axiom, ( hBOOL(hAPP(hAPP(_u8613, _u8614), _u8615)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8610, tc_fun(_u8611, tc_HOL_Obool))), _u8612), _u8613), _u8614), _u8615)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Image__empty ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Image__empty-1, axiom, ( ( hAPP(c_Relation_OImage(_u8616, _u8617, _u8618), c_Orderings_Obot__class_Obot(tc_fun(_u8616, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u8617, tc_HOL_Obool))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Image__Un ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Image__Un-1, axiom, ( ( hAPP(c_Relation_OImage(_u8619, _u8620, _u8621), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8619, tc_HOL_Obool)), _u8622), _u8623)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8620, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u8619, _u8620, _u8621), _u8622)), hAPP(c_Relation_OImage(_u8619, _u8620, _u8621), _u8623))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Image__Int__subset ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Image__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8624, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u8625, _u8624, _u8626), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8625, tc_HOL_Obool)), _u8627), _u8628))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8624, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u8625, _u8624, _u8626), _u8627)), hAPP(c_Relation_OImage(_u8625, _u8624, _u8626), _u8628)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Image__mono ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Image__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u8629, _u8630), tc_HOL_Obool)), _u8631), _u8632)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8629, tc_HOL_Obool)), _u8633), _u8634)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8630, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u8629, _u8630, _u8631), _u8633)), hAPP(c_Relation_OImage(_u8629, _u8630, _u8632), _u8634))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Un__Image ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Un__Image-1, axiom, ( ( hAPP(c_Relation_OImage(_u8635, _u8636, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u8635, _u8636), tc_HOL_Obool)), _u8637), _u8638)), _u8639) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8636, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u8635, _u8636, _u8637), _u8639)), hAPP(c_Relation_OImage(_u8635, _u8636, _u8638), _u8639))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_in__inv__image ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_in__inv__image-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u8652, _u8652)), hAPP(hAPP(c_Product__Type_OPair(_u8652, _u8652), hAPP(_u8656, _u8648)), hAPP(_u8656, _u8650))), _u8654)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8646, _u8646)), hAPP(hAPP(c_Product__Type_OPair(_u8646, _u8646), _u8648), _u8650)), hAPP(hAPP(c_Relation_Oinv__image(_u8652, _u8646), _u8654), _u8656))) )).
% 20.36/20.55 cnf(fact_in__inv__image-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8653, _u8653)), hAPP(hAPP(c_Product__Type_OPair(_u8653, _u8653), hAPP(_u8657, _u8649)), hAPP(_u8657, _u8651))), _u8655)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8647, _u8647)), hAPP(hAPP(c_Product__Type_OPair(_u8647, _u8647), _u8649), _u8651)), hAPP(hAPP(c_Relation_Oinv__image(_u8653, _u8647), _u8655), _u8657))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Image__iff ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Image__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8665), _u8667), hAPP(c_Relation_OImage(_u8669, _u8665, _u8671), _u8673))) | hBOOL(hAPP(hAPP(c_member(_u8669), skolem169(_u8673, _u8671, _u8669, _u8667, _u8665)), _u8673)) )).
% 20.36/20.55 cnf(fact_Image__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8665), _u8667), hAPP(c_Relation_OImage(_u8669, _u8665, _u8671), _u8673))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8669, _u8665)), hAPP(hAPP(c_Product__Type_OPair(_u8669, _u8665), skolem169(_u8673, _u8671, _u8669, _u8667, _u8665)), _u8667)), _u8671)) )).
% 20.36/20.55 cnf(fact_Image__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8670), _u8659), _u8674)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8670, _u8666)), hAPP(hAPP(c_Product__Type_OPair(_u8670, _u8666), _u8659), _u8668)), _u8672)) | hBOOL(hAPP(hAPP(c_member(_u8666), _u8668), hAPP(c_Relation_OImage(_u8670, _u8666, _u8672), _u8674))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_rev__ImageI ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_rev__ImageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8675), _u8676), _u8677)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8675, _u8678)), hAPP(hAPP(c_Product__Type_OPair(_u8675, _u8678), _u8676), _u8679)), _u8680)) | hBOOL(hAPP(hAPP(c_member(_u8678), _u8679), hAPP(c_Relation_OImage(_u8675, _u8678, _u8680), _u8677))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_norm__frac_Opsimps ( axiom ) converted to clauses:
% 20.36/20.55 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), _u8681), _u8682))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8682), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u8681, _u8682) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8681), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8682))) )).
% 20.36/20.55 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), _u8681), _u8682))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8682), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u8681, _u8682) = 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))) | ( _u8681 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.55 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), _u8681), _u8682))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8682), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u8681, _u8682) = 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))) | ( _u8682 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.55 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), _u8681), _u8682))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8682), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u8681 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u8682 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u8681, _u8682) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u8681), _u8682)), 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), _u8681))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8682)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_of__int__num ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_of__int__num-1, axiom, ( ~class_Rings_Oring__1(_u8683) | ( _u8684 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8683), _u8684) = c_Groups_Ozero__class_Ozero(_u8683)) )).
% 20.36/20.55 cnf(fact_of__int__num-2, axiom, ( ~class_Rings_Oring__1(_u8683) | ( _u8684 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8684), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8683), _u8684) = hAPP(c_Groups_Ouminus__class_Ouminus(_u8683), hAPP(c_Int_Oring__1__class_Oof__int(_u8683), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8684)))) )).
% 20.36/20.55 cnf(fact_of__int__num-3, axiom, ( ~class_Rings_Oring__1(_u8683) | ( _u8684 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8684), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8683), _u8684) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, _u8683), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_fun(_u8683, _u8683)), tc_fun(tc_Int_Oint, _u8683)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u8683, _u8683), _u8683), tc_fun(tc_fun(tc_Int_Oint, tc_fun(_u8683, _u8683)), tc_fun(tc_Int_Oint, _u8683)), tc_Int_Oint), c_COMBB(tc_fun(_u8683, _u8683), _u8683, tc_Int_Oint)), hAPP(hAPP(c_COMBB(_u8683, tc_fun(tc_fun(_u8683, _u8683), _u8683), tc_Int_Oint), c_HOL_OLet(_u8683, _u8683)), c_Int_Oring__1__class_Oof__int(_u8683)))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u8683, _u8683), tc_fun(_u8683, _u8683)), hAPP(hAPP(c_COMBB(tc_fun(_u8683, tc_fun(_u8683, _u8683)), tc_fun(tc_fun(_u8683, _u8683), tc_fun(_u8683, _u8683)), tc_Int_Oint), c_COMBS(_u8683, _u8683, _u8683)), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u8683, _u8683), tc_fun(_u8683, tc_fun(_u8683, _u8683))), hAPP(hAPP(c_COMBB(tc_fun(_u8683, tc_fun(_u8683, _u8683)), tc_fun(tc_fun(_u8683, _u8683), tc_fun(_u8683, tc_fun(_u8683, _u8683))), tc_Int_Oint), c_COMBB(_u8683, tc_fun(_u8683, _u8683), _u8683)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8683, tc_fun(_u8683, _u8683)), tc_Int_Oint), c_If(_u8683)), 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(_u8683, _u8683, _u8683), c_Groups_Oplus__class_Oplus(_u8683)), c_COMBI(_u8683))))), hAPP(hAPP(c_COMBC(_u8683, _u8683, _u8683), hAPP(hAPP(c_COMBB(_u8683, tc_fun(_u8683, _u8683), _u8683), c_Groups_Oplus__class_Oplus(_u8683)), hAPP(hAPP(c_COMBS(_u8683, _u8683, _u8683), c_Groups_Oplus__class_Oplus(_u8683)), c_COMBI(_u8683)))), c_Groups_Oone__class_Oone(_u8683))))), c_Divides_Odivmod__int(_u8684, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_max__extp__max__ext__eq ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_max__extp__max__ext__eq-1, axiom, ( ~c_Wellfounded_Omax__extp(_u8689, hAPP(hAPP(c_COMBC(_u8689, tc_fun(tc_prod(_u8689, _u8689), tc_HOL_Obool), tc_fun(_u8689, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8689, tc_fun(tc_fun(tc_prod(_u8689, _u8689), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8689, _u8689), tc_HOL_Obool), tc_fun(_u8689, tc_HOL_Obool)), _u8689), c_COMBC(_u8689, tc_fun(tc_prod(_u8689, _u8689), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8689, tc_prod(_u8689, _u8689)), tc_fun(_u8689, tc_fun(tc_fun(tc_prod(_u8689, _u8689), tc_HOL_Obool), tc_HOL_Obool)), _u8689), hAPP(c_COMBB(tc_prod(_u8689, _u8689), tc_fun(tc_fun(tc_prod(_u8689, _u8689), tc_HOL_Obool), tc_HOL_Obool), _u8689), c_member(tc_prod(_u8689, _u8689)))), c_Product__Type_OPair(_u8689, _u8689)))), _u8691), _u8693, _u8695) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8689, tc_HOL_Obool), tc_fun(_u8689, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8689, tc_HOL_Obool), tc_fun(_u8689, tc_HOL_Obool)), _u8693), _u8695)), c_Wellfounded_Omax__ext(_u8689, _u8691))) )).
% 20.36/20.55 cnf(fact_max__extp__max__ext__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8690, tc_HOL_Obool), tc_fun(_u8690, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8690, tc_HOL_Obool), tc_fun(_u8690, tc_HOL_Obool)), _u8694), _u8696)), c_Wellfounded_Omax__ext(_u8690, _u8692))) | c_Wellfounded_Omax__extp(_u8690, hAPP(hAPP(c_COMBC(_u8690, tc_fun(tc_prod(_u8690, _u8690), tc_HOL_Obool), tc_fun(_u8690, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8690, tc_fun(tc_fun(tc_prod(_u8690, _u8690), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8690, _u8690), tc_HOL_Obool), tc_fun(_u8690, tc_HOL_Obool)), _u8690), c_COMBC(_u8690, tc_fun(tc_prod(_u8690, _u8690), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8690, tc_prod(_u8690, _u8690)), tc_fun(_u8690, tc_fun(tc_fun(tc_prod(_u8690, _u8690), tc_HOL_Obool), tc_HOL_Obool)), _u8690), hAPP(c_COMBB(tc_prod(_u8690, _u8690), tc_fun(tc_fun(tc_prod(_u8690, _u8690), tc_HOL_Obool), tc_HOL_Obool), _u8690), c_member(tc_prod(_u8690, _u8690)))), c_Product__Type_OPair(_u8690, _u8690)))), _u8692), _u8694, _u8696) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_nat__case__add__eq__if ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_nat__case__add__eq__if-1, axiom, ( ( c_Nat_Onat_Onat__case(_u8697, _u8698, _u8699, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8700)), _u8701)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u8697), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u8700))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u8697, _u8697), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u8697, tc_fun(_u8697, _u8697)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8697, tc_fun(_u8697, _u8697)), tc_Int_Oint), c_If(_u8697)), c_Nat__Numeral_Oneg)), c_Nat_Onat_Onat__case(_u8697, _u8698, _u8699, _u8701))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u8697, tc_Int_Oint), _u8699), 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)), _u8701))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_split__weak__cong ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_split__weak__cong-1, axiom, ( ( _u8702 != _u8703) | ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8704, _u8705, _u8706), _u8707), _u8702) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8704, _u8705, _u8706), _u8707), _u8703)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_prod_Osimps_I2_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_prod_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8708, _u8709, _u8710), _u8711), hAPP(hAPP(c_Product__Type_OPair(_u8708, _u8709), _u8712), _u8713)) = hAPP(hAPP(_u8711, _u8712), _u8713)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_split__conv ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_split__conv-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8714, _u8715, _u8716), _u8717), hAPP(hAPP(c_Product__Type_OPair(_u8714, _u8715), _u8718), _u8719)) = hAPP(hAPP(_u8717, _u8718), _u8719)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_split__twice ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_split__twice-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8720, _u8721, _u8722), _u8723), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8724, _u8725, tc_prod(_u8720, _u8721)), _u8726), _u8727)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8724, _u8725, _u8722), hAPP(hAPP(c_COMBB(tc_fun(_u8725, tc_prod(_u8720, _u8721)), tc_fun(_u8725, _u8722), _u8724), hAPP(c_COMBB(tc_prod(_u8720, _u8721), _u8722, _u8725), hAPP(c_Product__Type_Oprod_Oprod__case(_u8720, _u8721, _u8722), _u8723))), _u8726)), _u8727)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_split__eta ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_split__eta-1, axiom, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u8728, _u8729, _u8730), hAPP(hAPP(c_COMBB(tc_fun(_u8729, tc_prod(_u8728, _u8729)), tc_fun(_u8729, _u8730), _u8728), hAPP(c_COMBB(tc_prod(_u8728, _u8729), _u8730, _u8729), _u8731)), c_Product__Type_OPair(_u8728, _u8729))) = _u8731) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_fst__def ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_fst__def-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u8732, _u8733), _u8734) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8732, _u8733, _u8732), c_COMBK(_u8732, _u8733)), _u8734)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_snd__def ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_snd__def-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u8735, _u8736), _u8737) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8735, _u8736, _u8736), hAPP(c_COMBK(tc_fun(_u8736, _u8736), _u8735), c_COMBI(_u8736))), _u8737)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_nat__case__0 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_nat__case__0-1, axiom, ( ( c_Nat_Onat_Onat__case(_u8738, _u8739, _u8740, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u8739) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_nat__case__Suc ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_nat__case__Suc-1, axiom, ( ( c_Nat_Onat_Onat__case(_u8741, _u8742, _u8743, hAPP(c_Nat_OSuc, _u8744)) = hAPP(_u8743, _u8744)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_prod__case__beta ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_prod__case__beta-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8745, _u8746, _u8747), _u8748), _u8749) = hAPP(hAPP(_u8748, hAPP(c_Product__Type_Ofst(_u8745, _u8746), _u8749)), hAPP(c_Product__Type_Osnd(_u8745, _u8746), _u8749))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_split__comp__eq ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_split__comp__eq-1, axiom, ( ( hAPP(hAPP(c_COMBS(tc_prod(_u8750, _u8751), _u8751, _u8752), hAPP(hAPP(c_COMBB(_u8753, tc_fun(_u8751, _u8752), tc_prod(_u8750, _u8751)), _u8754), hAPP(hAPP(c_COMBB(_u8750, _u8753, tc_prod(_u8750, _u8751)), _u8755), c_Product__Type_Ofst(_u8750, _u8751)))), c_Product__Type_Osnd(_u8750, _u8751)) = hAPP(c_Product__Type_Oprod_Oprod__case(_u8750, _u8751, _u8752), hAPP(hAPP(c_COMBB(_u8753, tc_fun(_u8751, _u8752), _u8750), _u8754), _u8755))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_split__beta ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_split__beta-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8756, _u8757, _u8758), _u8759), _u8760) = hAPP(hAPP(_u8759, hAPP(c_Product__Type_Ofst(_u8756, _u8757), _u8760)), hAPP(c_Product__Type_Osnd(_u8756, _u8757), _u8760))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_split__def ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_split__def-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8761, _u8762, _u8763), _u8764), _u8765) = hAPP(hAPP(_u8764, hAPP(c_Product__Type_Ofst(_u8761, _u8762), _u8765)), hAPP(c_Product__Type_Osnd(_u8761, _u8762), _u8765))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_less__eq__nat_Osimps_I2_J ( axiom ) converted to clauses:
% 20.36/20.55 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, _u8768)), _u8770)) | hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool, c_fFalse, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8768), _u8770)) )).
% 20.36/20.55 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), _u8769), _u8771)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8769)), _u8771)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_diff__Suc ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_diff__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8772), hAPP(c_Nat_OSuc, _u8773)) = 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), _u8772), _u8773))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__Suc1 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__Suc1-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8774)), _u8775) = 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), _u8774)), _u8775)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__Suc2 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__Suc2-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u8776), hAPP(c_Nat_OSuc, _u8777)) = 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)), _u8777)), _u8776)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_divmod__int__rel__def ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_divmod__int__rel__def-1, axiom, ( ( c_Divides_Odivmod__int__rel(_u8778, _u8779) = 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, _u8778))), 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), _u8779)))))), 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)), _u8779))), 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)), _u8779))))), 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)), _u8779)))), 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), _u8779))), 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)))))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_mlex__prod__def ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_mlex__prod__def-1, axiom, ( ( c_Wellfounded_Omlex__prod(_u8780, _u8781, _u8782) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, _u8780), _u8780), c_Wellfounded_Olex__prod(tc_Nat_Onat, _u8780, c_Wellfounded_Oless__than, _u8782)), hAPP(hAPP(c_COMBS(_u8780, _u8780, tc_prod(tc_Nat_Onat, _u8780)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u8780, tc_prod(tc_Nat_Onat, _u8780)), _u8780), c_Product__Type_OPair(tc_Nat_Onat, _u8780)), _u8781)), c_COMBI(_u8780)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_nat__case__number__of ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_nat__case__number__of-1, axiom, ( ( c_Nat_Onat_Onat__case(_u8783, _u8784, _u8785, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8786)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u8783), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u8786))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u8783, _u8783), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u8783, tc_fun(_u8783, _u8783)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8783, tc_fun(_u8783, _u8783)), tc_Int_Oint), c_If(_u8783)), c_Nat__Numeral_Oneg)), _u8784)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u8783, tc_Int_Oint), _u8785), c_Int_Onat)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_adjust__def ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_adjust__def-1, axiom, ( ( c_Divides_Oadjust(_u8787) = 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)), _u8787))))), 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)), _u8787))))), 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)))))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Nitpick_OFrac__def ( axiom ) converted to clauses:
% 20.36/20.55 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))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_divmod__int__pdivmod ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_divmod__int__pdivmod-1, axiom, ( ( _u8790 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u8790, _u8792) = 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))) )).
% 20.36/20.55 cnf(fact_divmod__int__pdivmod-2, axiom, ( ( _u8791 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u8793 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u8791, _u8793) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8791)) )).
% 20.36/20.55 cnf(fact_divmod__int__pdivmod-3, axiom, ( ( _u8791 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u8793 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u8791, _u8793) = 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, _u8793))), 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)), _u8793)), hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8791))), hAPP(hAPP(c_fconj, hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8793), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8791), c_Groups_Ozero__class_Ozero(tc_Int_Oint))))), c_Divides_Opdivmod(_u8791, _u8793)), 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), _u8793))))), c_Divides_Opdivmod(_u8791, _u8793))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_divmod__int__code ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_divmod__int__code-1, axiom, ( ( _u8796 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u8796, _u8798) = 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))) )).
% 20.36/20.55 cnf(fact_divmod__int__code-2, axiom, ( ( _u8797 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u8799 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u8797, _u8799) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8797)) )).
% 20.36/20.55 cnf(fact_divmod__int__code-3, axiom, ( ( _u8797 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u8799 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u8797, _u8799) = 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, _u8799))), 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, _u8797)), c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u8799))), c_Divides_Opdivmod(_u8797, _u8799)), 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), _u8799))))), c_Divides_Opdivmod(_u8797, _u8799))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_of__int ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_of__int-1, axiom, ( ~class_Rings_Oring__1(_u8800) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8800), 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), _u8801), _u8802)), 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(_u8800), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8800), _u8801)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8800), _u8802))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_mem__splitI ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_mem__splitI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8803), _u8804), hAPP(hAPP(_u8805, _u8806), _u8807))) | hBOOL(hAPP(hAPP(c_member(_u8803), _u8804), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8808, _u8809, tc_fun(_u8803, tc_HOL_Obool)), _u8805), hAPP(hAPP(c_Product__Type_OPair(_u8808, _u8809), _u8806), _u8807)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_prod__caseI ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_prod__caseI-1, axiom, ( ~hBOOL(hAPP(hAPP(_u8810, _u8811), _u8812)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8813, _u8814, tc_HOL_Obool), _u8810), hAPP(hAPP(c_Product__Type_OPair(_u8813, _u8814), _u8811), _u8812))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_splitI ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_splitI-1, axiom, ( ~hBOOL(hAPP(hAPP(_u8815, _u8816), _u8817)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8818, _u8819, tc_HOL_Obool), _u8815), hAPP(hAPP(c_Product__Type_OPair(_u8818, _u8819), _u8816), _u8817))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_splitD_H ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_splitD_H-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(_u8823, _u8824), _u8825), _u8826)) | ~hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8820, _u8821, tc_fun(_u8822, tc_HOL_Obool)), _u8823), hAPP(hAPP(c_Product__Type_OPair(_u8820, _u8821), _u8824), _u8825)), _u8826)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_splitD ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_splitD-1, axiom, ( hBOOL(hAPP(hAPP(_u8829, _u8830), _u8831)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8827, _u8828, tc_HOL_Obool), _u8829), hAPP(hAPP(c_Product__Type_OPair(_u8827, _u8828), _u8830), _u8831))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_apsnd__conv ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_apsnd__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u8832, _u8833, _u8834, _u8835), hAPP(hAPP(c_Product__Type_OPair(_u8834, _u8832), _u8836), _u8837)) = hAPP(hAPP(c_Product__Type_OPair(_u8834, _u8833), _u8836), hAPP(_u8835, _u8837))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_fst__apsnd ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_fst__apsnd-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u8838, _u8839), hAPP(c_Product__Type_Oapsnd(_u8840, _u8839, _u8838, _u8841), _u8842)) = hAPP(c_Product__Type_Ofst(_u8838, _u8840), _u8842)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_snd__apsnd ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_snd__apsnd-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u8843, _u8844), hAPP(c_Product__Type_Oapsnd(_u8845, _u8844, _u8843, _u8846), _u8847)) = hAPP(_u8846, hAPP(c_Product__Type_Osnd(_u8843, _u8845), _u8847))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_apsnd__eq__conv ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_apsnd__eq__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u8854, _u8856, _u8858, _u8860), _u8862) != hAPP(c_Product__Type_Oapsnd(_u8854, _u8856, _u8858, _u8864), _u8862)) | ( hAPP(_u8860, hAPP(c_Product__Type_Osnd(_u8858, _u8854), _u8862)) = hAPP(_u8864, hAPP(c_Product__Type_Osnd(_u8858, _u8854), _u8862))) )).
% 20.36/20.55 cnf(fact_apsnd__eq__conv-2, axiom, ( ( hAPP(_u8861, hAPP(c_Product__Type_Osnd(_u8859, _u8855), _u8863)) != hAPP(_u8865, hAPP(c_Product__Type_Osnd(_u8859, _u8855), _u8863))) | ( hAPP(c_Product__Type_Oapsnd(_u8855, _u8857, _u8859, _u8861), _u8863) = hAPP(c_Product__Type_Oapsnd(_u8855, _u8857, _u8859, _u8865), _u8863)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_negateSnd__def ( axiom ) converted to clauses:
% 20.36/20.55 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))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_rp__inv__image__def ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_rp__inv__image__def-1, axiom, ( ( c_FunDef_Orp__inv__image(_u8866, _u8867) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_prod(_u8866, _u8866), tc_HOL_Obool), tc_fun(tc_prod(_u8866, _u8866), tc_HOL_Obool), tc_fun(tc_fun(_u8867, _u8866), tc_prod(tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool), tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(tc_fun(tc_prod(_u8866, _u8866), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u8866, _u8866), tc_HOL_Obool), tc_fun(tc_fun(_u8867, _u8866), tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u8866, _u8866), tc_HOL_Obool), tc_fun(tc_fun(_u8867, _u8866), tc_prod(tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool), tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(_u8867, _u8866), tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool)), tc_fun(tc_fun(_u8867, _u8866), tc_prod(tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool), tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(tc_prod(_u8866, _u8866), tc_HOL_Obool), tc_fun(tc_fun(_u8867, _u8866), tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u8866, _u8866), tc_HOL_Obool), tc_fun(tc_fun(_u8867, _u8866), tc_prod(tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool), tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool))))), tc_fun(tc_prod(_u8866, _u8866), tc_HOL_Obool)), c_COMBB(tc_fun(tc_fun(_u8867, _u8866), tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool)), tc_fun(tc_fun(_u8867, _u8866), tc_prod(tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool), tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool))), tc_fun(tc_prod(_u8866, _u8866), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u8867, _u8866), tc_fun(tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool), tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(_u8867, _u8866), tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool)), tc_fun(tc_fun(_u8867, _u8866), tc_prod(tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool), tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool)))), tc_fun(tc_prod(_u8866, _u8866), tc_HOL_Obool)), c_COMBS(tc_fun(_u8867, _u8866), tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool), tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool)))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u8867, _u8866), tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool)), tc_fun(tc_fun(_u8867, _u8866), tc_fun(tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool), tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool)))), tc_fun(tc_prod(_u8866, _u8866), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool), tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool))), tc_fun(_u8867, _u8866)), c_Product__Type_OPair(tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool), tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool)))), c_Relation_Oinv__image(_u8866, _u8867))))), c_Relation_Oinv__image(_u8866, _u8867)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_divmod__nat__if ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_divmod__nat__if-1, axiom, ( ( c_Divides_Odivmod__nat(_u8872, _u8870) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8872)) | ( _u8870 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.55 cnf(fact_divmod__nat__if-2, axiom, ( ( c_Divides_Odivmod__nat(_u8872, _u8870) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8872)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8872), _u8870)) )).
% 20.36/20.55 cnf(fact_divmod__nat__if-3, axiom, ( ( _u8871 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8873), _u8871)) | ( c_Divides_Odivmod__nat(_u8873, _u8871) = 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), _u8873), _u8871), _u8871))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_minus ( axiom ) converted to clauses:
% 20.36/20.55 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), _u8874), _u8875)), 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), _u8875), _u8874)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Zero__int__def ( axiom ) converted to clauses:
% 20.36/20.55 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)))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_int__def ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_int__def-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8876) = 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), _u8876), 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)))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_add ( axiom ) converted to clauses:
% 20.36/20.55 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), _u8877), _u8878)), 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), _u8879), _u8880)), 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), _u8877), _u8879)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8878), _u8880))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_nat ( axiom ) converted to clauses:
% 20.36/20.55 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), _u8881), _u8882)), 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), _u8881), _u8882)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_less ( axiom ) converted to clauses:
% 20.36/20.55 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), _u8887), _u8889)), 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), _u8891), _u8893)), 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), _u8887), _u8893)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8891), _u8889))) )).
% 20.36/20.55 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), _u8888), _u8894)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8892), _u8890))) | 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), _u8888), _u8890)), 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), _u8892), _u8894)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_le ( axiom ) converted to clauses:
% 20.36/20.55 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), _u8899), _u8901)), 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), _u8903), _u8905)), 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), _u8899), _u8905)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8903), _u8901))) )).
% 20.36/20.55 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), _u8900), _u8906)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8904), _u8902))) | 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), _u8900), _u8902)), 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), _u8904), _u8906)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_mult ( axiom ) converted to clauses:
% 20.36/20.55 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), _u8907), _u8908)), 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), _u8909), _u8910)), 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), _u8907), _u8909)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8908), _u8910))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8907), _u8910)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8908), _u8909)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_One__int__def ( axiom ) converted to clauses:
% 20.36/20.55 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)))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_nat__rec__add__eq__if ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_nat__rec__add__eq__if-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u8911, _u8912, _u8913), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8914)), _u8915)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u8911), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u8914))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u8911, _u8911), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u8911, tc_fun(_u8911, _u8911)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8911, tc_fun(_u8911, _u8911)), tc_Int_Oint), c_If(_u8911)), c_Nat__Numeral_Oneg)), hAPP(c_Nat_Onat_Onat__rec(_u8911, _u8912, _u8913), _u8915))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u8911, _u8911), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u8911, _u8911), tc_Int_Oint), _u8913), 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)), _u8915))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u8911, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u8911, _u8912, _u8913)), 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)), _u8915)))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_semiring__1__class_Oof__nat__code ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_semiring__1__class_Oof__nat__code-1, axiom, ( ~class_Rings_Osemiring__1(_u8916) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8916), _u8917) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u8916, hAPP(hAPP(c_COMBC(_u8916, _u8916, _u8916), c_Groups_Oplus__class_Oplus(_u8916)), c_Groups_Oone__class_Oone(_u8916)), _u8917, c_Groups_Ozero__class_Ozero(_u8916))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_nat__rec__number__of ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_nat__rec__number__of-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u8918, _u8919, _u8920), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8921)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u8918), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u8921))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u8918, _u8918), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u8918, tc_fun(_u8918, _u8918)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8918, tc_fun(_u8918, _u8918)), tc_Int_Oint), c_If(_u8918)), c_Nat__Numeral_Oneg)), _u8919)), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u8918, _u8918), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u8918, _u8918), tc_Int_Oint), _u8920), c_Int_Onat)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u8918, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u8918, _u8919, _u8920)), c_Int_Onat))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_dual__max ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_dual__max-1, axiom, ( ~class_Orderings_Olinorder(_u8922) | ( c_Orderings_Oord_Omax(_u8922, hAPP(c_COMBC(_u8922, _u8922, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u8922))) = c_Orderings_Oord__class_Omin(_u8922)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_nat__rec__0 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_nat__rec__0-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u8923, _u8924, _u8925), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u8924) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_nat__rec__Suc ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_nat__rec__Suc-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u8926, _u8927, _u8928), hAPP(c_Nat_OSuc, _u8929)) = hAPP(hAPP(_u8928, _u8929), hAPP(c_Nat_Onat_Onat__rec(_u8926, _u8927, _u8928), _u8929))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_of__nat__aux_Osimps_I1_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_of__nat__aux_Osimps_I1_J-1, axiom, ( ~class_Rings_Osemiring__1(_u8930) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u8930, _u8931, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u8932) = _u8932) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_of__nat__aux_Osimps_I2_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_of__nat__aux_Osimps_I2_J-1, axiom, ( ~class_Rings_Osemiring__1(_u8933) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u8933, _u8934, hAPP(c_Nat_OSuc, _u8935), _u8936) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u8933, _u8934, _u8935, hAPP(_u8934, _u8936))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_transfer__int__nat__sum__prod2_I2_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_transfer__int__nat__sum__prod2_I2_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8938, tc_Int_Oint), _u8940), _u8939) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8938, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u8938), c_Int_Onat), _u8940)), _u8939))) | hBOOL(hAPP(hAPP(c_member(_u8938), skolem170(_u8940, _u8939, _u8938)), _u8939)) )).
% 20.36/20.55 cnf(fact_transfer__int__nat__sum__prod2_I2_J-2, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8938, tc_Int_Oint), _u8940), _u8939) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8938, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u8938), c_Int_Onat), _u8940)), _u8939))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u8940, skolem170(_u8940, _u8939, _u8938))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_irrefl__def ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_irrefl__def-1, axiom, ( ~c_Relation_Oirrefl(_u8945, _u8947) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8945, _u8945)), hAPP(hAPP(c_Product__Type_OPair(_u8945, _u8945), _u8941), _u8941)), _u8947)) )).
% 20.36/20.55 cnf(fact_irrefl__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u8946, _u8946)), hAPP(hAPP(c_Product__Type_OPair(_u8946, _u8946), skolem171(_u8948, _u8946)), skolem171(_u8948, _u8946))), _u8948)) | c_Relation_Oirrefl(_u8946, _u8948) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_transfer__int__nat__sum__prod2_I1_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_transfer__int__nat__sum__prod2_I1_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8950, tc_Int_Oint), _u8952), _u8951) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8950, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u8950), c_Int_Onat), _u8952)), _u8951))) | hBOOL(hAPP(hAPP(c_member(_u8950), skolem172(_u8952, _u8951, _u8950)), _u8951)) )).
% 20.36/20.55 cnf(fact_transfer__int__nat__sum__prod2_I1_J-2, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8950, tc_Int_Oint), _u8952), _u8951) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8950, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u8950), c_Int_Onat), _u8952)), _u8951))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u8952, skolem172(_u8952, _u8951, _u8950))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_norm__frac_Opinduct ( axiom ) converted to clauses:
% 20.36/20.55 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), _u8955), _u8956))) | hBOOL(hAPP(hAPP(_u8957, _u8955), _u8956)) | 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), skolem173(_u8957, _u8956, _u8955)), skolem174(_u8957, _u8956, _u8955)))) )).
% 20.36/20.55 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), _u8955), _u8956))) | hBOOL(hAPP(hAPP(_u8957, _u8955), _u8956)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem174(_u8957, _u8956, _u8955)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u8957, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem173(_u8957, _u8956, _u8955))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem174(_u8957, _u8956, _u8955)))) )).
% 20.36/20.55 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), _u8955), _u8956))) | hBOOL(hAPP(hAPP(_u8957, _u8955), _u8956)) | ~hBOOL(hAPP(hAPP(_u8957, skolem173(_u8957, _u8956, _u8955)), skolem174(_u8957, _u8956, _u8955))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Nitpick_Ofrac__def ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Nitpick_Ofrac__def-1, axiom, ( ( hAPP(hAPP(c_Nitpick_Ofrac(_u8958), _u8959), _u8960) = c_Nitpick_OAbs__Frac(_u8958, c_Nitpick_Onorm__frac(_u8959, _u8960))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_eq__Abs__Integ ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_eq__Abs__Integ-1, axiom, ( ( _u8963 = 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), skolem175(_u8963)), skolem176(_u8963))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_arith__series__int ( axiom ) converted to clauses:
% 20.36/20.55 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), _u8964)), 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))), _u8965))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8966))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8966)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8964), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8964), 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), _u8966), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u8965))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Field__insert ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Field__insert-1, axiom, ( ( hAPP(c_Relation_OField(_u8967), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u8967, _u8967)), hAPP(hAPP(c_Product__Type_OPair(_u8967, _u8967), _u8968), _u8969)), _u8970)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8967, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8967), _u8968), hAPP(hAPP(c_Set_Oinsert(_u8967), _u8969), c_Orderings_Obot__class_Obot(tc_fun(_u8967, tc_HOL_Obool))))), hAPP(c_Relation_OField(_u8967), _u8970))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_finite__lessThan ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_finite__lessThan-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8971))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_lessThan__0 ( axiom ) converted to clauses:
% 20.36/20.55 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))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_lessThan__eq__iff ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_lessThan__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u8972) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u8972), _u8973) != hAPP(c_SetInterval_Oord__class_OlessThan(_u8972), _u8974)) | ( _u8973 = _u8974) )).
% 20.36/20.55 cnf(fact_lessThan__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u8972) | ( _u8973 != _u8974) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u8972), _u8973) = hAPP(c_SetInterval_Oord__class_OlessThan(_u8972), _u8974)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_card__lessThan ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_card__lessThan-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8975)) = _u8975) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_lessThan__Suc ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_lessThan__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8976)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u8976), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8976))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_lessThan__iff ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_lessThan__iff-1, axiom, ( ~class_Orderings_Oord(_u8977) | ~hBOOL(hAPP(hAPP(c_member(_u8977), _u8978), hAPP(c_SetInterval_Oord__class_OlessThan(_u8977), _u8979))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8977), _u8978), _u8979)) )).
% 20.36/20.55 cnf(fact_lessThan__iff-2, axiom, ( ~class_Orderings_Oord(_u8977) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8977), _u8978), _u8979)) | hBOOL(hAPP(hAPP(c_member(_u8977), _u8978), hAPP(c_SetInterval_Oord__class_OlessThan(_u8977), _u8979))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_lessThan__subset__iff ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_lessThan__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u8980) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8980, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8980), _u8981)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8980), _u8982))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8980), _u8981), _u8982)) )).
% 20.36/20.55 cnf(fact_lessThan__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u8980) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8980), _u8981), _u8982)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8980, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8980), _u8981)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8980), _u8982))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_setsum__lessThan__Suc ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_setsum__lessThan__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8983) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8983), _u8984), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8985))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8983), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8983), _u8984), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8985))), hAPP(_u8984, _u8985))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_lessThan__strict__subset__iff ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_lessThan__strict__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u8986) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8986, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8986), _u8987)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8986), _u8988))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8986), _u8987), _u8988)) )).
% 20.36/20.55 cnf(fact_lessThan__strict__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u8986) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8986), _u8987), _u8988)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8986, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8986), _u8987)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8986), _u8988))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_single__Diff__lessThan ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_single__Diff__lessThan-1, axiom, ( ~class_Orderings_Oorder(_u8989) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8989, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8989), _u8990), c_Orderings_Obot__class_Obot(tc_fun(_u8989, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OlessThan(_u8989), _u8990)) = hAPP(hAPP(c_Set_Oinsert(_u8989), _u8990), c_Orderings_Obot__class_Obot(tc_fun(_u8989, tc_HOL_Obool)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_finite__nat__set__iff__bounded ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_finite__nat__set__iff__bounded-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8996)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u8991), _u8996)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8991), skolem177(_u8996))) )).
% 20.36/20.55 cnf(fact_finite__nat__set__iff__bounded-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8997)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem178(_u8997, _u8994)), _u8997)) )).
% 20.36/20.55 cnf(fact_finite__nat__set__iff__bounded-3, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8997)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem178(_u8997, _u8994)), _u8994)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Field__empty ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Field__empty-1, axiom, ( ( hAPP(c_Relation_OField(_u8998), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u8998, _u8998), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u8998, tc_HOL_Obool))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_mono__Field ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_mono__Field-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u8999, _u8999), tc_HOL_Obool)), _u9000), _u9001)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8999, tc_HOL_Obool)), hAPP(c_Relation_OField(_u8999), _u9000)), hAPP(c_Relation_OField(_u8999), _u9001))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_finite__nat__set__iff__bounded__le ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_finite__nat__set__iff__bounded__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u9007)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9002), _u9007)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9002), skolem179(_u9007))) )).
% 20.36/20.55 cnf(fact_finite__nat__set__iff__bounded__le-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u9008)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem180(_u9008, _u9005)), _u9008)) )).
% 20.36/20.55 cnf(fact_finite__nat__set__iff__bounded__le-3, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u9008)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem180(_u9008, _u9005)), _u9005)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Field__Un ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Field__Un-1, axiom, ( ( hAPP(c_Relation_OField(_u9009), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u9009, _u9009), tc_HOL_Obool)), _u9010), _u9011)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9009, tc_HOL_Obool)), hAPP(c_Relation_OField(_u9009), _u9010)), hAPP(c_Relation_OField(_u9009), _u9011))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_finite__Field ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_finite__Field-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u9012, _u9012)), _u9013)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9012), hAPP(c_Relation_OField(_u9012), _u9013))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_arith__series__general ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_arith__series__general-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u9014) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9014), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9014), c_Groups_Oone__class_Oone(_u9014)), c_Groups_Oone__class_Oone(_u9014))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9014), hAPP(hAPP(c_COMBB(_u9014, _u9014, tc_Nat_Onat), hAPP(c_Groups_Oplus__class_Oplus(_u9014), _u9015)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u9014, _u9014), hAPP(hAPP(c_COMBB(_u9014, tc_fun(_u9014, _u9014), tc_Nat_Onat), c_Groups_Otimes__class_Otimes(_u9014)), c_Nat_Osemiring__1__class_Oof__nat(_u9014))), _u9016))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u9017))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9014), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9014), _u9017)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9014), _u9015), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9014), _u9015), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9014), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9014), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9017), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u9016))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_arith__series__nat ( axiom ) converted to clauses:
% 20.36/20.55 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), _u9018)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Otimes__class_Otimes(tc_Nat_Onat)), _u9019))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u9020))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9020), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9018), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9018), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9020), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u9019))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_ord_OatMost__iff ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_ord_OatMost__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u9029, _u9027), _u9031)) | ~hBOOL(hAPP(hAPP(c_member(_u9025), _u9027), c_SetInterval_Oord_OatMost(_u9025, _u9029, _u9031))) )).
% 20.36/20.55 cnf(fact_ord_OatMost__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u9030, _u9028), _u9032)) | hBOOL(hAPP(hAPP(c_member(_u9026), _u9028), c_SetInterval_Oord_OatMost(_u9026, _u9030, _u9032))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_ord_OatLeast__iff ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_ord_OatLeast__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u9041, _u9043), _u9039)) | ~hBOOL(hAPP(hAPP(c_member(_u9037), _u9039), c_SetInterval_Oord_OatLeast(_u9037, _u9041, _u9043))) )).
% 20.36/20.55 cnf(fact_ord_OatLeast__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u9042, _u9044), _u9040)) | hBOOL(hAPP(hAPP(c_member(_u9038), _u9040), c_SetInterval_Oord_OatLeast(_u9038, _u9042, _u9044))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_ord_OlessThan__iff ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_ord_OlessThan__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u9053, _u9051), _u9055)) | ~hBOOL(hAPP(hAPP(c_member(_u9049), _u9051), c_SetInterval_Oord_OlessThan(_u9049, _u9053, _u9055))) )).
% 20.36/20.55 cnf(fact_ord_OlessThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u9054, _u9052), _u9056)) | hBOOL(hAPP(hAPP(c_member(_u9050), _u9052), c_SetInterval_Oord_OlessThan(_u9050, _u9054, _u9056))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_ord_OgreaterThan__iff ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_ord_OgreaterThan__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u9065, _u9067), _u9063)) | ~hBOOL(hAPP(hAPP(c_member(_u9061), _u9063), c_SetInterval_Oord_OgreaterThan(_u9061, _u9065, _u9067))) )).
% 20.36/20.55 cnf(fact_ord_OgreaterThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u9066, _u9068), _u9064)) | hBOOL(hAPP(hAPP(c_member(_u9062), _u9064), c_SetInterval_Oord_OgreaterThan(_u9062, _u9066, _u9068))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_infinite__UNIV__nat ( axiom ) converted to clauses:
% 20.36/20.55 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)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_ord_OgreaterThanAtMost__iff ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_ord_OgreaterThanAtMost__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9075), _u9077), c_SetInterval_Oord_OgreaterThanAtMost(_u9075, _u9079, _u9081, _u9083, _u9085))) | hBOOL(hAPP(hAPP(_u9081, _u9083), _u9077)) )).
% 20.36/20.55 cnf(fact_ord_OgreaterThanAtMost__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9075), _u9077), c_SetInterval_Oord_OgreaterThanAtMost(_u9075, _u9079, _u9081, _u9083, _u9085))) | hBOOL(hAPP(hAPP(_u9079, _u9077), _u9085)) )).
% 20.36/20.55 cnf(fact_ord_OgreaterThanAtMost__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u9082, _u9084), _u9078)) | ~hBOOL(hAPP(hAPP(_u9080, _u9078), _u9086)) | hBOOL(hAPP(hAPP(c_member(_u9076), _u9078), c_SetInterval_Oord_OgreaterThanAtMost(_u9076, _u9080, _u9082, _u9084, _u9086))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_ord_OatLeastLessThan__iff ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_ord_OatLeastLessThan__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9093), _u9095), c_SetInterval_Oord_OatLeastLessThan(_u9093, _u9097, _u9099, _u9101, _u9103))) | hBOOL(hAPP(hAPP(_u9097, _u9101), _u9095)) )).
% 20.36/20.55 cnf(fact_ord_OatLeastLessThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9093), _u9095), c_SetInterval_Oord_OatLeastLessThan(_u9093, _u9097, _u9099, _u9101, _u9103))) | hBOOL(hAPP(hAPP(_u9099, _u9095), _u9103)) )).
% 20.36/20.55 cnf(fact_ord_OatLeastLessThan__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u9098, _u9102), _u9096)) | ~hBOOL(hAPP(hAPP(_u9100, _u9096), _u9104)) | hBOOL(hAPP(hAPP(c_member(_u9094), _u9096), c_SetInterval_Oord_OatLeastLessThan(_u9094, _u9098, _u9100, _u9102, _u9104))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_ord_OgreaterThanLessThan__iff ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_ord_OgreaterThanLessThan__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9110), _u9112), c_SetInterval_Oord_OgreaterThanLessThan(_u9110, _u9114, _u9116, _u9118))) | hBOOL(hAPP(hAPP(_u9114, _u9116), _u9112)) )).
% 20.36/20.55 cnf(fact_ord_OgreaterThanLessThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9110), _u9112), c_SetInterval_Oord_OgreaterThanLessThan(_u9110, _u9114, _u9116, _u9118))) | hBOOL(hAPP(hAPP(_u9114, _u9112), _u9118)) )).
% 20.36/20.55 cnf(fact_ord_OgreaterThanLessThan__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u9115, _u9117), _u9113)) | ~hBOOL(hAPP(hAPP(_u9115, _u9113), _u9119)) | hBOOL(hAPP(hAPP(c_member(_u9111), _u9113), c_SetInterval_Oord_OgreaterThanLessThan(_u9111, _u9115, _u9117, _u9119))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_ord_OatLeastAtMost__iff ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_ord_OatLeastAtMost__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9125), _u9127), c_SetInterval_Oord_OatLeastAtMost(_u9125, _u9129, _u9131, _u9133))) | hBOOL(hAPP(hAPP(_u9129, _u9131), _u9127)) )).
% 20.36/20.55 cnf(fact_ord_OatLeastAtMost__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9125), _u9127), c_SetInterval_Oord_OatLeastAtMost(_u9125, _u9129, _u9131, _u9133))) | hBOOL(hAPP(hAPP(_u9129, _u9127), _u9133)) )).
% 20.36/20.55 cnf(fact_ord_OatLeastAtMost__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u9130, _u9132), _u9128)) | ~hBOOL(hAPP(hAPP(_u9130, _u9128), _u9134)) | hBOOL(hAPP(hAPP(c_member(_u9126), _u9128), c_SetInterval_Oord_OatLeastAtMost(_u9126, _u9130, _u9132, _u9134))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_setsum__nonneg__0 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_setsum__nonneg__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u9136) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9137), _u9138)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9137, _u9136), _u9139), _u9138) != c_Groups_Ozero__class_Ozero(_u9136)) | ~hBOOL(hAPP(hAPP(c_member(_u9137), _u9140), _u9138)) | ( hAPP(_u9139, _u9140) = c_Groups_Ozero__class_Ozero(_u9136)) | hBOOL(hAPP(hAPP(c_member(_u9137), skolem181(_u9140, _u9139, _u9138, _u9137, _u9136)), _u9138)) )).
% 20.36/20.55 cnf(fact_setsum__nonneg__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u9136) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9137), _u9138)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9137, _u9136), _u9139), _u9138) != c_Groups_Ozero__class_Ozero(_u9136)) | ~hBOOL(hAPP(hAPP(c_member(_u9137), _u9140), _u9138)) | ( hAPP(_u9139, _u9140) = c_Groups_Ozero__class_Ozero(_u9136)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9136), c_Groups_Ozero__class_Ozero(_u9136)), hAPP(_u9139, skolem181(_u9140, _u9139, _u9138, _u9137, _u9136)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_setsum__nonneg__leq__bound ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_setsum__nonneg__leq__bound-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u9142) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9143), _u9144)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9143, _u9142), _u9145), _u9144) != _u9146) | ~hBOOL(hAPP(hAPP(c_member(_u9143), _u9147), _u9144)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9142), hAPP(_u9145, _u9147)), _u9146)) | hBOOL(hAPP(hAPP(c_member(_u9143), skolem182(_u9147, _u9146, _u9145, _u9144, _u9143, _u9142)), _u9144)) )).
% 20.36/20.55 cnf(fact_setsum__nonneg__leq__bound-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u9142) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9143), _u9144)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9143, _u9142), _u9145), _u9144) != _u9146) | ~hBOOL(hAPP(hAPP(c_member(_u9143), _u9147), _u9144)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9142), hAPP(_u9145, _u9147)), _u9146)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9142), c_Groups_Ozero__class_Ozero(_u9142)), hAPP(_u9145, skolem182(_u9147, _u9146, _u9145, _u9144, _u9143, _u9142)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_max__number__of__Suc ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_max__number__of__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9148)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9149)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u9149))), 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, _u9148))), 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), _u9148)), c_Int_Onat))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_max__Suc__number__of ( axiom ) converted to clauses:
% 20.36/20.55 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), _u9150)), hAPP(c_Nat_OSuc, _u9151)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u9150))), 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, _u9151))), 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)), _u9151))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_le__max__iff__disj ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_le__max__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u9152) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9152), _u9153), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9152), _u9154), _u9155))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9152), _u9153), _u9154)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9152), _u9153), _u9155)) )).
% 20.36/20.55 cnf(fact_le__max__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u9152) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9152), _u9153), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9152), _u9154), _u9155))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9152), _u9153), _u9154)) )).
% 20.36/20.55 cnf(fact_le__max__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u9152) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9152), _u9153), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9152), _u9154), _u9155))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9152), _u9153), _u9155)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_Ole__supE ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_Ole__supE-1, axiom, ( ~class_Orderings_Olinorder(_u9156) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9156), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9156), _u9157), _u9158)), _u9159)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9156), _u9157), _u9159)) )).
% 20.36/20.55 cnf(fact_min__max_Ole__supE-2, axiom, ( ~class_Orderings_Olinorder(_u9156) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9156), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9156), _u9157), _u9158)), _u9159)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9156), _u9158), _u9159)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_Osup__mono ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_Osup__mono-1, axiom, ( ~class_Orderings_Olinorder(_u9160) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9160), _u9161), _u9162)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9160), _u9163), _u9164)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9160), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9160), _u9161), _u9163)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9160), _u9162), _u9164))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_Osup__least ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_Osup__least-1, axiom, ( ~class_Orderings_Olinorder(_u9165) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9165), _u9166), _u9167)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9165), _u9168), _u9167)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9165), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9165), _u9166), _u9168)), _u9167)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_Ole__supI ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_Ole__supI-1, axiom, ( ~class_Orderings_Olinorder(_u9169) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9169), _u9170), _u9171)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9169), _u9172), _u9171)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9169), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9169), _u9170), _u9172)), _u9171)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_Osup__absorb1 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_Osup__absorb1-1, axiom, ( ~class_Orderings_Olinorder(_u9173) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9173), _u9174), _u9175)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9173), _u9175), _u9174) = _u9175) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_Osup__absorb2 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_Osup__absorb2-1, axiom, ( ~class_Orderings_Olinorder(_u9176) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9176), _u9177), _u9178)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9176), _u9177), _u9178) = _u9178) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_Ole__supI2 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_Ole__supI2-1, axiom, ( ~class_Orderings_Olinorder(_u9179) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9179), _u9180), _u9181)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9179), _u9180), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9179), _u9182), _u9181))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_Ole__supI1 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_Ole__supI1-1, axiom, ( ~class_Orderings_Olinorder(_u9183) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9183), _u9184), _u9185)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9183), _u9184), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9183), _u9185), _u9186))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_Ole__sup__iff ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_Ole__sup__iff-1, axiom, ( ~class_Orderings_Olinorder(_u9187) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9187), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9187), _u9188), _u9189)), _u9190)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9187), _u9188), _u9190)) )).
% 20.36/20.55 cnf(fact_min__max_Ole__sup__iff-2, axiom, ( ~class_Orderings_Olinorder(_u9187) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9187), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9187), _u9188), _u9189)), _u9190)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9187), _u9189), _u9190)) )).
% 20.36/20.55 cnf(fact_min__max_Ole__sup__iff-3, axiom, ( ~class_Orderings_Olinorder(_u9187) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9187), _u9188), _u9190)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9187), _u9189), _u9190)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9187), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9187), _u9188), _u9189)), _u9190)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_Ole__iff__sup ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_Ole__iff__sup-1, axiom, ( ~class_Orderings_Olinorder(_u9191) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9191), _u9192), _u9193)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9191), _u9192), _u9193) = _u9193) )).
% 20.36/20.55 cnf(fact_min__max_Ole__iff__sup-2, axiom, ( ~class_Orderings_Olinorder(_u9191) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9191), _u9192), _u9193) != _u9193) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9191), _u9192), _u9193)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_le__maxI2 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_le__maxI2-1, axiom, ( ~class_Orderings_Olinorder(_u9194) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9194), _u9195), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9194), _u9196), _u9195))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_le__maxI1 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_le__maxI1-1, axiom, ( ~class_Orderings_Olinorder(_u9197) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9197), _u9198), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9197), _u9198), _u9199))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_Ofun__left__comm__idem__sup ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_Ofun__left__comm__idem__sup-1, axiom, ( ~class_Orderings_Olinorder(_u9200) | c_Finite__Set_Ofun__left__comm__idem(_u9200, _u9200, c_Orderings_Oord__class_Omax(_u9200)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_max__add__distrib__left ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_max__add__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u9201) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9201), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9201), _u9202), _u9203)), _u9204) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9201), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9201), _u9202), _u9204)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9201), _u9203), _u9204))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_Oless__supI1 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_Oless__supI1-1, axiom, ( ~class_Orderings_Olinorder(_u9205) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9205), _u9206), _u9207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9205), _u9206), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9205), _u9207), _u9208))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_Oless__supI2 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_Oless__supI2-1, axiom, ( ~class_Orderings_Olinorder(_u9209) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9209), _u9210), _u9211)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9209), _u9210), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9209), _u9212), _u9211))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_less__max__iff__disj ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_less__max__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u9213) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9213), _u9214), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9213), _u9215), _u9216))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9213), _u9214), _u9215)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9213), _u9214), _u9216)) )).
% 20.36/20.55 cnf(fact_less__max__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u9213) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9213), _u9214), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9213), _u9215), _u9216))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9213), _u9214), _u9215)) )).
% 20.36/20.55 cnf(fact_less__max__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u9213) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9213), _u9214), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9213), _u9215), _u9216))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9213), _u9214), _u9216)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_max__less__iff__conj ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_max__less__iff__conj-1, axiom, ( ~class_Orderings_Olinorder(_u9217) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9217), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9217), _u9218), _u9219)), _u9220)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9217), _u9218), _u9220)) )).
% 20.36/20.55 cnf(fact_max__less__iff__conj-2, axiom, ( ~class_Orderings_Olinorder(_u9217) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9217), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9217), _u9218), _u9219)), _u9220)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9217), _u9219), _u9220)) )).
% 20.36/20.55 cnf(fact_max__less__iff__conj-3, axiom, ( ~class_Orderings_Olinorder(_u9217) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9217), _u9218), _u9220)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9217), _u9219), _u9220)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9217), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9217), _u9218), _u9219)), _u9220)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_max__diff__distrib__left ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_max__diff__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u9221) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9221), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9221), _u9222), _u9223)), _u9224) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9221), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9221), _u9222), _u9224)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9221), _u9223), _u9224))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_Osup_Oidem ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_Osup_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u9225) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9225), _u9226), _u9226) = _u9226) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_Osup_Ocommute ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_Osup_Ocommute-1, axiom, ( ~class_Orderings_Olinorder(_u9227) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9227), _u9228), _u9229) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9227), _u9229), _u9228)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_Osup__commute ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_Osup__commute-1, axiom, ( ~class_Orderings_Olinorder(_u9230) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9230), _u9231), _u9232) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9230), _u9232), _u9231)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_Osup_Oleft__idem ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_Osup_Oleft__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9233) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9233), _u9234), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9233), _u9234), _u9235)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9233), _u9234), _u9235)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_Osup__left__idem ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_Osup__left__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9236) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9236), _u9237), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9236), _u9237), _u9238)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9236), _u9237), _u9238)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_Osup_Oleft__commute ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_Osup_Oleft__commute-1, axiom, ( ~class_Orderings_Olinorder(_u9239) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9239), _u9240), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9239), _u9241), _u9242)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9239), _u9241), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9239), _u9240), _u9242))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_Osup__left__commute ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_Osup__left__commute-1, axiom, ( ~class_Orderings_Olinorder(_u9243) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9243), _u9244), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9243), _u9245), _u9246)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9243), _u9245), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9243), _u9244), _u9246))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_Osup_Oassoc ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_Osup_Oassoc-1, axiom, ( ~class_Orderings_Olinorder(_u9247) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9247), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9247), _u9248), _u9249)), _u9250) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9247), _u9248), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9247), _u9249), _u9250))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_Osup__assoc ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_Osup__assoc-1, axiom, ( ~class_Orderings_Olinorder(_u9251) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9251), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9251), _u9252), _u9253)), _u9254) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9251), _u9252), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9251), _u9253), _u9254))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Max_Oidem ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Max_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u9255) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9255), _u9256), _u9256) = _u9256) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_Oinf__sup__distrib2 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_Oinf__sup__distrib2-1, axiom, ( ~class_Orderings_Olinorder(_u9257) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9257), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9257), _u9258), _u9259)), _u9260) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9257), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9257), _u9258), _u9260)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9257), _u9259), _u9260))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_Osup__inf__distrib2 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_Osup__inf__distrib2-1, axiom, ( ~class_Orderings_Olinorder(_u9261) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9261), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9261), _u9262), _u9263)), _u9264) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9261), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9261), _u9262), _u9264)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9261), _u9263), _u9264))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_Oinf__sup__distrib1 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_Oinf__sup__distrib1-1, axiom, ( ~class_Orderings_Olinorder(_u9265) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9265), _u9266), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9265), _u9267), _u9268)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9265), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9265), _u9266), _u9267)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9265), _u9266), _u9268))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_Osup__inf__distrib1 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_Osup__inf__distrib1-1, axiom, ( ~class_Orderings_Olinorder(_u9269) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9269), _u9270), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9269), _u9271), _u9272)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9269), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9269), _u9270), _u9271)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9269), _u9270), _u9272))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_Oinf__sup__absorb ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_Oinf__sup__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u9273) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9273), _u9274), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9273), _u9274), _u9275)) = _u9274) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_Osup__inf__absorb ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_Osup__inf__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u9276) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9276), _u9277), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9276), _u9277), _u9278)) = _u9277) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_max__Suc__Suc ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_max__Suc__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9279)), hAPP(c_Nat_OSuc, _u9280)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u9279), _u9280))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_max__0L ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_max__0L-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9281) = _u9281) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_max__0R ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_max__0R-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u9282), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u9282) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_sup__nat__def ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_sup__nat__def-1, axiom, ( ( c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_sup__max ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_sup__max-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u9283) | ~class_Orderings_Olinorder(_u9283) | ( c_Lattices_Osemilattice__sup__class_Osup(_u9283) = c_Orderings_Oord__class_Omax(_u9283)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_max__number__of ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_max__number__of-1, axiom, ( ~class_Int_Onumber(_u9284) | ~class_Orderings_Oord(_u9284) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9284), hAPP(c_Int_Onumber__class_Onumber__of(_u9284), _u9285)), hAPP(c_Int_Onumber__class_Onumber__of(_u9284), _u9286))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9284), hAPP(c_Int_Onumber__class_Onumber__of(_u9284), _u9285)), hAPP(c_Int_Onumber__class_Onumber__of(_u9284), _u9286)) = hAPP(c_Int_Onumber__class_Onumber__of(_u9284), _u9286)) )).
% 20.36/20.55 cnf(fact_max__number__of-2, axiom, ( ~class_Int_Onumber(_u9284) | ~class_Orderings_Oord(_u9284) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9284), hAPP(c_Int_Onumber__class_Onumber__of(_u9284), _u9285)), hAPP(c_Int_Onumber__class_Onumber__of(_u9284), _u9286))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9284), hAPP(c_Int_Onumber__class_Onumber__of(_u9284), _u9285)), hAPP(c_Int_Onumber__class_Onumber__of(_u9284), _u9286)) = hAPP(c_Int_Onumber__class_Onumber__of(_u9284), _u9285)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_Odistrib__sup__le ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_Odistrib__sup__le-1, axiom, ( ~class_Orderings_Olinorder(_u9287) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9287), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9287), _u9288), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9287), _u9289), _u9290))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9287), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9287), _u9288), _u9289)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9287), _u9288), _u9290)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_Odistrib__inf__le ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_Odistrib__inf__le-1, axiom, ( ~class_Orderings_Olinorder(_u9291) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9291), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9291), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9291), _u9292), _u9293)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9291), _u9292), _u9294))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9291), _u9292), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9291), _u9293), _u9294)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_minus__max__eq__min ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_minus__max__eq__min-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u9295) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u9295), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9295), _u9296), _u9297)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9295), hAPP(c_Groups_Ouminus__class_Ouminus(_u9295), _u9296)), hAPP(c_Groups_Ouminus__class_Ouminus(_u9295), _u9297))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_minus__min__eq__max ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_minus__min__eq__max-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u9298) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u9298), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9298), _u9299), _u9300)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9298), hAPP(c_Groups_Ouminus__class_Ouminus(_u9298), _u9299)), hAPP(c_Groups_Ouminus__class_Ouminus(_u9298), _u9300))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_nat__minus__add__max ( axiom ) converted to clauses:
% 20.36/20.55 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), _u9301), _u9302)), _u9302) = hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u9301), _u9302)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_max__Suc1 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_max__Suc1-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9303)), _u9304) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u9303), 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), _u9303)), _u9304)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_max__Suc2 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_max__Suc2-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u9305), hAPP(c_Nat_OSuc, _u9306)) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u9306), 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)), _u9306)), _u9305)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_max__ord__max ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_max__ord__max-1, axiom, ( ~class_Orderings_Oord(_u9307) | ( c_Orderings_Oord__class_Omax(_u9307) = c_Orderings_Oord_Omax(_u9307, c_Orderings_Oord__class_Oless__eq(_u9307))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_Ofold__sup__insert ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_Ofold__sup__insert-1, axiom, ( ~class_Orderings_Olinorder(_u9308) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9308), _u9309)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u9308, _u9308, c_Orderings_Oord__class_Omax(_u9308)), _u9310), hAPP(hAPP(c_Set_Oinsert(_u9308), _u9311), _u9309)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9308), _u9311), hAPP(hAPP(c_Finite__Set_Ofold(_u9308, _u9308, c_Orderings_Oord__class_Omax(_u9308)), _u9310), _u9309))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_dual__min ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_dual__min-1, axiom, ( ~class_Orderings_Olinorder(_u9312) | ( c_Orderings_Oord_Omin(_u9312, hAPP(c_COMBC(_u9312, _u9312, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u9312))) = c_Orderings_Oord__class_Omax(_u9312)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_Osup__le__fold__sup ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_Osup__le__fold__sup-1, axiom, ( ~class_Orderings_Olinorder(_u9313) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9313), _u9314)) | ~hBOOL(hAPP(hAPP(c_member(_u9313), _u9315), _u9314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9313), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9313), _u9315), _u9316)), hAPP(hAPP(c_Finite__Set_Ofold(_u9313, _u9313, c_Orderings_Oord__class_Omax(_u9313)), _u9316), _u9314))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_Osup__Inf__absorb ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_Osup__Inf__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u9317) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9317), _u9318)) | ~hBOOL(hAPP(hAPP(c_member(_u9317), _u9319), _u9318)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9317), _u9319), c_Big__Operators_Olattice_OInf__fin(_u9317, c_Orderings_Oord__class_Omin(_u9317), _u9318)) = _u9319) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Max_Oremove ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Max_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u9320) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9320), _u9321)) | ~hBOOL(hAPP(hAPP(c_member(_u9320), _u9322), _u9321)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9320, tc_HOL_Obool)), _u9321), hAPP(hAPP(c_Set_Oinsert(_u9320), _u9322), c_Orderings_Obot__class_Obot(tc_fun(_u9320, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9320, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9320, _u9321) = _u9322) )).
% 20.36/20.55 cnf(fact_Max_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u9320) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9320), _u9321)) | ~hBOOL(hAPP(hAPP(c_member(_u9320), _u9322), _u9321)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9320, tc_HOL_Obool)), _u9321), hAPP(hAPP(c_Set_Oinsert(_u9320), _u9322), c_Orderings_Obot__class_Obot(tc_fun(_u9320, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9320, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9320, _u9321) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9320), _u9322), c_Big__Operators_Olinorder__class_OMax(_u9320, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9320, tc_HOL_Obool)), _u9321), hAPP(hAPP(c_Set_Oinsert(_u9320), _u9322), c_Orderings_Obot__class_Obot(tc_fun(_u9320, tc_HOL_Obool))))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_OInf__le__Sup ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_OInf__le__Sup-1, axiom, ( ~class_Orderings_Olinorder(_u9323) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9323), _u9324)) | ( _u9324 = c_Orderings_Obot__class_Obot(tc_fun(_u9323, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9323), c_Big__Operators_Olattice_OInf__fin(_u9323, c_Orderings_Oord__class_Omin(_u9323), _u9324)), c_Big__Operators_Olattice_OSup__fin(_u9323, c_Orderings_Oord__class_Omax(_u9323), _u9324))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_OSup__fin_Oremove ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_OSup__fin_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u9325) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9325), _u9326)) | ~hBOOL(hAPP(hAPP(c_member(_u9325), _u9327), _u9326)) | ( 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)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9325, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9325, c_Orderings_Oord__class_Omax(_u9325), _u9326) = _u9327) )).
% 20.36/20.55 cnf(fact_min__max_OSup__fin_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u9325) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9325), _u9326)) | ~hBOOL(hAPP(hAPP(c_member(_u9325), _u9327), _u9326)) | ( 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)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9325, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9325, c_Orderings_Oord__class_Omax(_u9325), _u9326) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9325), _u9327), c_Big__Operators_Olattice_OSup__fin(_u9325, c_Orderings_Oord__class_Omax(_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))))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_sum__diff__distrib ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_sum__diff__distrib-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u9329, skolem183(_u9331, _u9330, _u9329))), hAPP(_u9330, skolem183(_u9331, _u9330, _u9329)))) | ( 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), _u9330), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u9331))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u9329), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u9331))) = 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)), _u9330)), _u9329)), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u9331))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Max_Osingleton ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Max_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u9332) | ( c_Big__Operators_Olinorder__class_OMax(_u9332, hAPP(hAPP(c_Set_Oinsert(_u9332), _u9333), c_Orderings_Obot__class_Obot(tc_fun(_u9332, tc_HOL_Obool)))) = _u9333) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_OSup__fin_Oin__idem ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_OSup__fin_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9334) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9334), _u9335)) | ~hBOOL(hAPP(hAPP(c_member(_u9334), _u9336), _u9335)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9334), _u9336), c_Big__Operators_Olattice_OSup__fin(_u9334, c_Orderings_Oord__class_Omax(_u9334), _u9335)) = c_Big__Operators_Olattice_OSup__fin(_u9334, c_Orderings_Oord__class_Omax(_u9334), _u9335)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Max__ge ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Max__ge-1, axiom, ( ~class_Orderings_Olinorder(_u9337) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9337), _u9338)) | ~hBOOL(hAPP(hAPP(c_member(_u9337), _u9339), _u9338)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9337), _u9339), c_Big__Operators_Olinorder__class_OMax(_u9337, _u9338))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_OSup__fin_Osingleton ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_OSup__fin_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u9340) | ( c_Big__Operators_Olattice_OSup__fin(_u9340, c_Orderings_Oord__class_Omax(_u9340), hAPP(hAPP(c_Set_Oinsert(_u9340), _u9341), c_Orderings_Obot__class_Obot(tc_fun(_u9340, tc_HOL_Obool)))) = _u9341) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Max__in ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Max__in-1, axiom, ( ~class_Orderings_Olinorder(_u9342) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9342), _u9343)) | ( _u9343 = c_Orderings_Obot__class_Obot(tc_fun(_u9342, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u9342), c_Big__Operators_Olinorder__class_OMax(_u9342, _u9343)), _u9343)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Max_Oin__idem ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Max_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9344) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9344), _u9345)) | ~hBOOL(hAPP(hAPP(c_member(_u9344), _u9346), _u9345)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9344), _u9346), c_Big__Operators_Olinorder__class_OMax(_u9344, _u9345)) = c_Big__Operators_Olinorder__class_OMax(_u9344, _u9345)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_OSup__fin_OF__eq ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_OSup__fin_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u9347) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9347), _u9348)) | ( c_Big__Operators_Olattice_OSup__fin(_u9347, c_Orderings_Oord__class_Omax(_u9347), _u9348) = hAPP(c_Finite__Set_Ofold1(_u9347, c_Orderings_Oord__class_Omax(_u9347)), _u9348)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Max_OF__eq ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Max_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u9349) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9349), _u9350)) | ( c_Big__Operators_Olinorder__class_OMax(_u9349, _u9350) = hAPP(c_Finite__Set_Ofold1(_u9349, c_Orderings_Oord__class_Omax(_u9349)), _u9350)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_OSup__fin_Oinsert__idem ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_OSup__fin_Oinsert__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9351) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9351), _u9352)) | ( _u9352 = c_Orderings_Obot__class_Obot(tc_fun(_u9351, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9351, c_Orderings_Oord__class_Omax(_u9351), hAPP(hAPP(c_Set_Oinsert(_u9351), _u9353), _u9352)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9351), _u9353), c_Big__Operators_Olattice_OSup__fin(_u9351, c_Orderings_Oord__class_Omax(_u9351), _u9352))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_OSup__fin_Osubset__idem ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_OSup__fin_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9354) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9354), _u9355)) | ( _u9356 = c_Orderings_Obot__class_Obot(tc_fun(_u9354, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9354, tc_HOL_Obool)), _u9356), _u9355)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9354), c_Big__Operators_Olattice_OSup__fin(_u9354, c_Orderings_Oord__class_Omax(_u9354), _u9356)), c_Big__Operators_Olattice_OSup__fin(_u9354, c_Orderings_Oord__class_Omax(_u9354), _u9355)) = c_Big__Operators_Olattice_OSup__fin(_u9354, c_Orderings_Oord__class_Omax(_u9354), _u9355)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_Oinf__Sup__absorb ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_Oinf__Sup__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u9357) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9357), _u9358)) | ~hBOOL(hAPP(hAPP(c_member(_u9357), _u9359), _u9358)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9357), _u9359), c_Big__Operators_Olattice_OSup__fin(_u9357, c_Orderings_Oord__class_Omax(_u9357), _u9358)) = _u9359) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_OSup__fin_Ounion__idem ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_OSup__fin_Ounion__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9360) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9360), _u9361)) | ( _u9361 = c_Orderings_Obot__class_Obot(tc_fun(_u9360, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9360), _u9362)) | ( _u9362 = c_Orderings_Obot__class_Obot(tc_fun(_u9360, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9360, c_Orderings_Oord__class_Omax(_u9360), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9360, tc_HOL_Obool)), _u9361), _u9362)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9360), c_Big__Operators_Olattice_OSup__fin(_u9360, c_Orderings_Oord__class_Omax(_u9360), _u9361)), c_Big__Operators_Olattice_OSup__fin(_u9360, c_Orderings_Oord__class_Omax(_u9360), _u9362))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Max__mono ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Max__mono-1, axiom, ( ~class_Orderings_Olinorder(_u9363) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9363, tc_HOL_Obool)), _u9364), _u9365)) | ( _u9364 = c_Orderings_Obot__class_Obot(tc_fun(_u9363, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9363), _u9365)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9363), c_Big__Operators_Olinorder__class_OMax(_u9363, _u9364)), c_Big__Operators_Olinorder__class_OMax(_u9363, _u9365))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_OSup__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_OSup__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u9366) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9366), _u9367)) | ( c_Big__Operators_Olattice_OSup__fin(_u9366, c_Orderings_Oord__class_Omax(_u9366), hAPP(hAPP(c_Set_Oinsert(_u9366), _u9368), _u9367)) = hAPP(hAPP(c_Finite__Set_Ofold(_u9366, _u9366, c_Orderings_Oord__class_Omax(_u9366)), _u9368), _u9367)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Max__insert ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Max__insert-1, axiom, ( ~class_Orderings_Olinorder(_u9369) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9369), _u9370)) | ( _u9370 = c_Orderings_Obot__class_Obot(tc_fun(_u9369, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9369, hAPP(hAPP(c_Set_Oinsert(_u9369), _u9371), _u9370)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9369), _u9371), c_Big__Operators_Olinorder__class_OMax(_u9369, _u9370))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Max_Osubset__idem ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Max_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9372) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9372), _u9373)) | ( _u9374 = c_Orderings_Obot__class_Obot(tc_fun(_u9372, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9372, tc_HOL_Obool)), _u9374), _u9373)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9372), c_Big__Operators_Olinorder__class_OMax(_u9372, _u9374)), c_Big__Operators_Olinorder__class_OMax(_u9372, _u9373)) = c_Big__Operators_Olinorder__class_OMax(_u9372, _u9373)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Max__Un ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Max__Un-1, axiom, ( ~class_Orderings_Olinorder(_u9375) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9375), _u9376)) | ( _u9376 = c_Orderings_Obot__class_Obot(tc_fun(_u9375, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9375), _u9377)) | ( _u9377 = c_Orderings_Obot__class_Obot(tc_fun(_u9375, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9375, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9375, tc_HOL_Obool)), _u9376), _u9377)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9375), c_Big__Operators_Olinorder__class_OMax(_u9375, _u9376)), c_Big__Operators_Olinorder__class_OMax(_u9375, _u9377))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Max_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Max_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u9378) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9378), _u9379)) | ( c_Big__Operators_Olinorder__class_OMax(_u9378, hAPP(hAPP(c_Set_Oinsert(_u9378), _u9380), _u9379)) = hAPP(hAPP(c_Finite__Set_Ofold(_u9378, _u9378, c_Orderings_Oord__class_Omax(_u9378)), _u9380), _u9379)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_OSup__fin_Oinsert ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_OSup__fin_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u9381) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9381), _u9382)) | hBOOL(hAPP(hAPP(c_member(_u9381), _u9383), _u9382)) | ( _u9382 = c_Orderings_Obot__class_Obot(tc_fun(_u9381, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9381, c_Orderings_Oord__class_Omax(_u9381), hAPP(hAPP(c_Set_Oinsert(_u9381), _u9383), _u9382)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9381), _u9383), c_Big__Operators_Olattice_OSup__fin(_u9381, c_Orderings_Oord__class_Omax(_u9381), _u9382))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_OSup__fin_Oinsert__remove ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_OSup__fin_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u9384) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9384), _u9385)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9384, tc_HOL_Obool)), _u9385), hAPP(hAPP(c_Set_Oinsert(_u9384), _u9386), c_Orderings_Obot__class_Obot(tc_fun(_u9384, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9384, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9384, c_Orderings_Oord__class_Omax(_u9384), hAPP(hAPP(c_Set_Oinsert(_u9384), _u9386), _u9385)) = _u9386) )).
% 20.36/20.55 cnf(fact_min__max_OSup__fin_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u9384) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9384), _u9385)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9384, tc_HOL_Obool)), _u9385), hAPP(hAPP(c_Set_Oinsert(_u9384), _u9386), c_Orderings_Obot__class_Obot(tc_fun(_u9384, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9384, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9384, c_Orderings_Oord__class_Omax(_u9384), hAPP(hAPP(c_Set_Oinsert(_u9384), _u9386), _u9385)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9384), _u9386), c_Big__Operators_Olattice_OSup__fin(_u9384, c_Orderings_Oord__class_Omax(_u9384), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9384, tc_HOL_Obool)), _u9385), hAPP(hAPP(c_Set_Oinsert(_u9384), _u9386), c_Orderings_Obot__class_Obot(tc_fun(_u9384, tc_HOL_Obool))))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_OSup__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_OSup__fin_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u9387) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9387), _u9388)) | ( _u9388 = c_Orderings_Obot__class_Obot(tc_fun(_u9387, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9387), _u9389)) | ( _u9389 = c_Orderings_Obot__class_Obot(tc_fun(_u9387, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9387, tc_HOL_Obool)), _u9388), _u9389) != c_Orderings_Obot__class_Obot(tc_fun(_u9387, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9387, c_Orderings_Oord__class_Omax(_u9387), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9387, tc_HOL_Obool)), _u9388), _u9389)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9387), c_Big__Operators_Olattice_OSup__fin(_u9387, c_Orderings_Oord__class_Omax(_u9387), _u9388)), c_Big__Operators_Olattice_OSup__fin(_u9387, c_Orderings_Oord__class_Omax(_u9387), _u9389))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_OSup__fin_Ounion__inter ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_OSup__fin_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u9390) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9390), _u9391)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9390), _u9392)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9390, tc_HOL_Obool)), _u9391), _u9392) = c_Orderings_Obot__class_Obot(tc_fun(_u9390, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9390), c_Big__Operators_Olattice_OSup__fin(_u9390, c_Orderings_Oord__class_Omax(_u9390), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9390, tc_HOL_Obool)), _u9391), _u9392))), c_Big__Operators_Olattice_OSup__fin(_u9390, c_Orderings_Oord__class_Omax(_u9390), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9390, tc_HOL_Obool)), _u9391), _u9392))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9390), c_Big__Operators_Olattice_OSup__fin(_u9390, c_Orderings_Oord__class_Omax(_u9390), _u9391)), c_Big__Operators_Olattice_OSup__fin(_u9390, c_Orderings_Oord__class_Omax(_u9390), _u9392))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_OSup__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_OSup__fin_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u9393) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9393), _u9394)) | hBOOL(hAPP(hAPP(c_member(_u9393), _u9395), _u9394)) | ( c_Big__Operators_Olattice_OSup__fin(_u9393, c_Orderings_Oord__class_Omax(_u9393), hAPP(hAPP(c_Set_Oinsert(_u9393), _u9395), _u9394)) = hAPP(hAPP(c_Finite__Set_Ofold(_u9393, _u9393, c_Orderings_Oord__class_Omax(_u9393)), _u9395), _u9394)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Max_Oinsert ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Max_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u9396) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9396), _u9397)) | hBOOL(hAPP(hAPP(c_member(_u9396), _u9398), _u9397)) | ( _u9397 = c_Orderings_Obot__class_Obot(tc_fun(_u9396, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9396, hAPP(hAPP(c_Set_Oinsert(_u9396), _u9398), _u9397)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9396), _u9398), c_Big__Operators_Olinorder__class_OMax(_u9396, _u9397))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Max_Oinsert__remove ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Max_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u9399) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9399), _u9400)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9399, tc_HOL_Obool)), _u9400), hAPP(hAPP(c_Set_Oinsert(_u9399), _u9401), c_Orderings_Obot__class_Obot(tc_fun(_u9399, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9399, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9399, hAPP(hAPP(c_Set_Oinsert(_u9399), _u9401), _u9400)) = _u9401) )).
% 20.36/20.55 cnf(fact_Max_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u9399) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9399), _u9400)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9399, tc_HOL_Obool)), _u9400), hAPP(hAPP(c_Set_Oinsert(_u9399), _u9401), c_Orderings_Obot__class_Obot(tc_fun(_u9399, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9399, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9399, hAPP(hAPP(c_Set_Oinsert(_u9399), _u9401), _u9400)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9399), _u9401), c_Big__Operators_Olinorder__class_OMax(_u9399, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9399, tc_HOL_Obool)), _u9400), hAPP(hAPP(c_Set_Oinsert(_u9399), _u9401), c_Orderings_Obot__class_Obot(tc_fun(_u9399, tc_HOL_Obool))))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Max_Ounion__disjoint ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Max_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u9402) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9402), _u9403)) | ( _u9403 = c_Orderings_Obot__class_Obot(tc_fun(_u9402, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9402), _u9404)) | ( _u9404 = c_Orderings_Obot__class_Obot(tc_fun(_u9402, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9402, tc_HOL_Obool)), _u9403), _u9404) != c_Orderings_Obot__class_Obot(tc_fun(_u9402, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9402, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9402, tc_HOL_Obool)), _u9403), _u9404)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9402), c_Big__Operators_Olinorder__class_OMax(_u9402, _u9403)), c_Big__Operators_Olinorder__class_OMax(_u9402, _u9404))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Max_Ounion__inter ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Max_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u9405) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9405), _u9406)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9405), _u9407)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9405, tc_HOL_Obool)), _u9406), _u9407) = c_Orderings_Obot__class_Obot(tc_fun(_u9405, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9405), c_Big__Operators_Olinorder__class_OMax(_u9405, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9405, tc_HOL_Obool)), _u9406), _u9407))), c_Big__Operators_Olinorder__class_OMax(_u9405, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9405, tc_HOL_Obool)), _u9406), _u9407))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9405), c_Big__Operators_Olinorder__class_OMax(_u9405, _u9406)), c_Big__Operators_Olinorder__class_OMax(_u9405, _u9407))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Max_Oeq__fold_H ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Max_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u9408) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9408), _u9409)) | hBOOL(hAPP(hAPP(c_member(_u9408), _u9410), _u9409)) | ( c_Big__Operators_Olinorder__class_OMax(_u9408, hAPP(hAPP(c_Set_Oinsert(_u9408), _u9410), _u9409)) = hAPP(hAPP(c_Finite__Set_Ofold(_u9408, _u9408, c_Orderings_Oord__class_Omax(_u9408)), _u9410), _u9409)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_min__max_OSup__fin_Oclosed ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_min__max_OSup__fin_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u9413) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9413), _u9414)) | ( _u9414 = c_Orderings_Obot__class_Obot(tc_fun(_u9413, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9413), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9413), skolem184(_u9414, _u9413)), skolem185(_u9414, _u9413))), hAPP(hAPP(c_Set_Oinsert(_u9413), skolem184(_u9414, _u9413)), hAPP(hAPP(c_Set_Oinsert(_u9413), skolem185(_u9414, _u9413)), c_Orderings_Obot__class_Obot(tc_fun(_u9413, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u9413), c_Big__Operators_Olattice_OSup__fin(_u9413, c_Orderings_Oord__class_Omax(_u9413), _u9414)), _u9414)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Max_Oclosed ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Max_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u9417) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9417), _u9418)) | ( _u9418 = c_Orderings_Obot__class_Obot(tc_fun(_u9417, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9417), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9417), skolem186(_u9418, _u9417)), skolem187(_u9418, _u9417))), hAPP(hAPP(c_Set_Oinsert(_u9417), skolem186(_u9418, _u9417)), hAPP(hAPP(c_Set_Oinsert(_u9417), skolem187(_u9418, _u9417)), c_Orderings_Obot__class_Obot(tc_fun(_u9417, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u9417), c_Big__Operators_Olinorder__class_OMax(_u9417, _u9418)), _u9418)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_apfst__apsnd ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_apfst__apsnd-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u9419, _u9420, _u9421, _u9422), hAPP(c_Product__Type_Oapsnd(_u9423, _u9421, _u9419, _u9424), _u9425)) = hAPP(hAPP(c_Product__Type_OPair(_u9420, _u9421), hAPP(_u9422, hAPP(c_Product__Type_Ofst(_u9419, _u9423), _u9425))), hAPP(_u9424, hAPP(c_Product__Type_Osnd(_u9419, _u9423), _u9425)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_apsnd__apfst ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_apsnd__apfst-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u9426, _u9427, _u9428, _u9429), hAPP(c_Product__Type_Oapfst(_u9430, _u9428, _u9426, _u9431), _u9432)) = hAPP(hAPP(c_Product__Type_OPair(_u9428, _u9427), hAPP(_u9431, hAPP(c_Product__Type_Ofst(_u9430, _u9426), _u9432))), hAPP(_u9429, hAPP(c_Product__Type_Osnd(_u9430, _u9426), _u9432)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_apfst__conv ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_apfst__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u9433, _u9434, _u9435, _u9436), hAPP(hAPP(c_Product__Type_OPair(_u9433, _u9435), _u9437), _u9438)) = hAPP(hAPP(c_Product__Type_OPair(_u9434, _u9435), hAPP(_u9436, _u9437)), _u9438)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_apfst__eq__conv ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_apfst__eq__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u9445, _u9447, _u9449, _u9451), _u9453) != hAPP(c_Product__Type_Oapfst(_u9445, _u9447, _u9449, _u9455), _u9453)) | ( hAPP(_u9451, hAPP(c_Product__Type_Ofst(_u9445, _u9449), _u9453)) = hAPP(_u9455, hAPP(c_Product__Type_Ofst(_u9445, _u9449), _u9453))) )).
% 20.36/20.55 cnf(fact_apfst__eq__conv-2, axiom, ( ( hAPP(_u9452, hAPP(c_Product__Type_Ofst(_u9446, _u9450), _u9454)) != hAPP(_u9456, hAPP(c_Product__Type_Ofst(_u9446, _u9450), _u9454))) | ( hAPP(c_Product__Type_Oapfst(_u9446, _u9448, _u9450, _u9452), _u9454) = hAPP(c_Product__Type_Oapfst(_u9446, _u9448, _u9450, _u9456), _u9454)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_fst__apfst ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_fst__apfst-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u9457, _u9458), hAPP(c_Product__Type_Oapfst(_u9459, _u9457, _u9458, _u9460), _u9461)) = hAPP(_u9460, hAPP(c_Product__Type_Ofst(_u9459, _u9458), _u9461))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_snd__apfst ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_snd__apfst-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u9462, _u9463), hAPP(c_Product__Type_Oapfst(_u9464, _u9462, _u9463, _u9465), _u9466)) = hAPP(c_Product__Type_Osnd(_u9464, _u9463), _u9466)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_apsnd__apfst__commute ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_apsnd__apfst__commute-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u9467, _u9468, _u9469, _u9470), hAPP(c_Product__Type_Oapfst(_u9471, _u9469, _u9467, _u9472), _u9473)) = hAPP(c_Product__Type_Oapfst(_u9471, _u9469, _u9468, _u9472), hAPP(c_Product__Type_Oapsnd(_u9467, _u9468, _u9471, _u9470), _u9473))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_setsum__natinterval__difff ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_setsum__natinterval__difff-1, axiom, ( ~class_Groups_Oab__group__add(_u9474) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9475), _u9476)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9474), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u9474, _u9474), hAPP(hAPP(c_COMBB(_u9474, tc_fun(_u9474, _u9474), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u9474)), _u9477)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u9474, tc_Nat_Onat), _u9477), 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, _u9475, _u9476)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9474), hAPP(_u9477, _u9475)), hAPP(_u9477, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9476), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 20.36/20.55 cnf(fact_setsum__natinterval__difff-2, axiom, ( ~class_Groups_Oab__group__add(_u9474) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9475), _u9476)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9474), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u9474, _u9474), hAPP(hAPP(c_COMBB(_u9474, tc_fun(_u9474, _u9474), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u9474)), _u9477)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u9474, tc_Nat_Onat), _u9477), 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, _u9475, _u9476)) = c_Groups_Ozero__class_Ozero(_u9474)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_gauss__sum ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_gauss__sum-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u9478) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9478), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9478), c_Groups_Oone__class_Oone(_u9478)), c_Groups_Oone__class_Oone(_u9478))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9478), c_Nat_Osemiring__1__class_Oof__nat(_u9478)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u9479))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9478), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9478), _u9479)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9478), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9478), _u9479)), c_Groups_Oone__class_Oone(_u9478)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INFI__fold__inf ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INFI__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9480) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9481), _u9482)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9481, _u9480), _u9482), _u9483) = hAPP(hAPP(c_Finite__Set_Ofold(_u9481, _u9480, hAPP(hAPP(c_COMBB(_u9480, tc_fun(_u9480, _u9480), _u9481), c_Lattices_Osemilattice__inf__class_Oinf(_u9480)), _u9483)), c_Orderings_Otop__class_Otop(_u9480)), _u9482)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_SUPR__fold__sup ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_SUPR__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9484) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9485), _u9486)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9485, _u9484), _u9486), _u9487) = hAPP(hAPP(c_Finite__Set_Ofold(_u9485, _u9484, hAPP(hAPP(c_COMBB(_u9484, tc_fun(_u9484, _u9484), _u9485), c_Lattices_Osemilattice__sup__class_Osup(_u9484)), _u9487)), c_Orderings_Obot__class_Obot(_u9484)), _u9486)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_SUP1__I ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_SUP1__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9488), _u9489), _u9490)) | ~hBOOL(hAPP(hAPP(_u9491, _u9489), _u9492)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9488, tc_fun(_u9493, tc_HOL_Obool)), _u9490), _u9491), _u9492)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_UN__I ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_UN__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9494), _u9495), _u9496)) | ~hBOOL(hAPP(hAPP(c_member(_u9497), _u9498), hAPP(_u9499, _u9495))) | hBOOL(hAPP(hAPP(c_member(_u9497), _u9498), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9494, tc_fun(_u9497, tc_HOL_Obool)), _u9496), _u9499))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INF1__E ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INF1__E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9500, tc_fun(_u9501, tc_HOL_Obool)), _u9502), _u9503), _u9504)) | hBOOL(hAPP(hAPP(_u9503, _u9505), _u9504)) | ~hBOOL(hAPP(hAPP(c_member(_u9500), _u9505), _u9502)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INF1__D ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INF1__D-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9506, tc_fun(_u9507, tc_HOL_Obool)), _u9508), _u9509), _u9510)) | ~hBOOL(hAPP(hAPP(c_member(_u9506), _u9511), _u9508)) | hBOOL(hAPP(hAPP(_u9509, _u9511), _u9510)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INT__D ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INT__D-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9512), _u9513), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9514, tc_fun(_u9512, tc_HOL_Obool)), _u9515), _u9516))) | ~hBOOL(hAPP(hAPP(c_member(_u9514), _u9517), _u9515)) | hBOOL(hAPP(hAPP(c_member(_u9512), _u9513), hAPP(_u9516, _u9517))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INT__E ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INT__E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9518), _u9519), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9520, tc_fun(_u9518, tc_HOL_Obool)), _u9521), _u9522))) | hBOOL(hAPP(hAPP(c_member(_u9518), _u9519), hAPP(_u9522, _u9523))) | ~hBOOL(hAPP(hAPP(c_member(_u9520), _u9523), _u9521)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_SUP2__I ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_SUP2__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9524), _u9525), _u9526)) | ~hBOOL(hAPP(hAPP(hAPP(_u9527, _u9525), _u9528), _u9529)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9524, tc_fun(_u9530, tc_fun(_u9531, tc_HOL_Obool))), _u9526), _u9527), _u9528), _u9529)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INF2__D ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INF2__D-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9532, tc_fun(_u9533, tc_fun(_u9534, tc_HOL_Obool))), _u9535), _u9536), _u9537), _u9538)) | ~hBOOL(hAPP(hAPP(c_member(_u9532), _u9539), _u9535)) | hBOOL(hAPP(hAPP(hAPP(_u9536, _u9539), _u9537), _u9538)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INF2__E ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INF2__E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9540, tc_fun(_u9541, tc_fun(_u9542, tc_HOL_Obool))), _u9543), _u9544), _u9545), _u9546)) | hBOOL(hAPP(hAPP(hAPP(_u9544, _u9547), _u9545), _u9546)) | ~hBOOL(hAPP(hAPP(c_member(_u9540), _u9547), _u9543)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_finite__INT ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_finite__INT-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9549), _u9548), _u9550)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9551), hAPP(_u9552, _u9548))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9551), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9549, tc_fun(_u9551, tc_HOL_Obool)), _u9550), _u9552))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_finite__atLeastAtMost ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_finite__atLeastAtMost-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u9553, _u9554))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INT__extend__simps_I5_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INT__extend__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u9555), _u9556), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9557, tc_fun(_u9555, tc_HOL_Obool)), _u9558), _u9559)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9557, tc_fun(_u9555, tc_HOL_Obool)), _u9558), hAPP(hAPP(c_COMBB(tc_fun(_u9555, tc_HOL_Obool), tc_fun(_u9555, tc_HOL_Obool), _u9557), hAPP(c_Set_Oinsert(_u9555), _u9556)), _u9559))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INT__simps_I5_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INT__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9560, tc_fun(_u9561, tc_HOL_Obool)), _u9562), hAPP(hAPP(c_COMBB(tc_fun(_u9561, tc_HOL_Obool), tc_fun(_u9561, tc_HOL_Obool), _u9560), hAPP(c_Set_Oinsert(_u9561), _u9563)), _u9564)) = hAPP(hAPP(c_Set_Oinsert(_u9561), _u9563), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9560, tc_fun(_u9561, tc_HOL_Obool)), _u9562), _u9564))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_finite__UN ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_finite__UN-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9567), _u9568)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9569), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9567, tc_fun(_u9569, tc_HOL_Obool)), _u9568), _u9570))) | ~hBOOL(hAPP(hAPP(c_member(_u9567), _u9565), _u9568)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9569), hAPP(_u9570, _u9565))) )).
% 20.36/20.55 cnf(fact_finite__UN-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9567), _u9568)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9569), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9567, tc_fun(_u9569, tc_HOL_Obool)), _u9568), _u9570))) | hBOOL(hAPP(hAPP(c_member(_u9567), skolem188(_u9570, _u9569, _u9568, _u9567)), _u9568)) )).
% 20.36/20.55 cnf(fact_finite__UN-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9567), _u9568)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9569), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9567, tc_fun(_u9569, tc_HOL_Obool)), _u9568), _u9570))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9569), hAPP(_u9570, skolem188(_u9570, _u9569, _u9568, _u9567)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_UNION__empty__conv_I2_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_UNION__empty__conv_I2_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9577, tc_fun(_u9579, tc_HOL_Obool)), _u9581), _u9583) != c_Orderings_Obot__class_Obot(tc_fun(_u9579, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9577), _u9571), _u9581)) | ( hAPP(_u9583, _u9571) = c_Orderings_Obot__class_Obot(tc_fun(_u9579, tc_HOL_Obool))) )).
% 20.36/20.55 cnf(fact_UNION__empty__conv_I2_J-2, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9578, tc_fun(_u9580, tc_HOL_Obool)), _u9582), _u9584) = c_Orderings_Obot__class_Obot(tc_fun(_u9580, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u9578), skolem189(_u9584, _u9582, _u9580, _u9578)), _u9582)) )).
% 20.36/20.55 cnf(fact_UNION__empty__conv_I2_J-3, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9578, tc_fun(_u9580, tc_HOL_Obool)), _u9582), _u9584) = c_Orderings_Obot__class_Obot(tc_fun(_u9580, tc_HOL_Obool))) | ( hAPP(_u9584, skolem189(_u9584, _u9582, _u9580, _u9578)) != c_Orderings_Obot__class_Obot(tc_fun(_u9580, tc_HOL_Obool))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_UN__constant ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_UN__constant-1, axiom, ( ( _u9589 != c_Orderings_Obot__class_Obot(tc_fun(_u9591, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9591, tc_fun(_u9593, tc_HOL_Obool)), _u9589), hAPP(c_COMBK(tc_fun(_u9593, tc_HOL_Obool), _u9591), _u9595)) = c_Orderings_Obot__class_Obot(tc_fun(_u9593, tc_HOL_Obool))) )).
% 20.36/20.55 cnf(fact_UN__constant-2, axiom, ( ( _u9590 = c_Orderings_Obot__class_Obot(tc_fun(_u9592, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9592, tc_fun(_u9594, tc_HOL_Obool)), _u9590), hAPP(c_COMBK(tc_fun(_u9594, tc_HOL_Obool), _u9592), _u9596)) = _u9596) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_UN__empty2 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_UN__empty2-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9597, tc_fun(_u9598, tc_HOL_Obool)), _u9599), hAPP(c_COMBK(tc_fun(_u9598, tc_HOL_Obool), _u9597), c_Orderings_Obot__class_Obot(tc_fun(_u9598, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9598, tc_HOL_Obool))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_UNION__empty__conv_I1_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_UNION__empty__conv_I1_J-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u9606, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9608, tc_fun(_u9606, tc_HOL_Obool)), _u9610), _u9612)) | ~hBOOL(hAPP(hAPP(c_member(_u9608), _u9600), _u9610)) | ( hAPP(_u9612, _u9600) = c_Orderings_Obot__class_Obot(tc_fun(_u9606, tc_HOL_Obool))) )).
% 20.36/20.55 cnf(fact_UNION__empty__conv_I1_J-2, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u9607, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9609, tc_fun(_u9607, tc_HOL_Obool)), _u9611), _u9613)) | hBOOL(hAPP(hAPP(c_member(_u9609), skolem190(_u9613, _u9611, _u9609, _u9607)), _u9611)) )).
% 20.36/20.55 cnf(fact_UNION__empty__conv_I1_J-3, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u9607, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9609, tc_fun(_u9607, tc_HOL_Obool)), _u9611), _u9613)) | ( hAPP(_u9613, skolem190(_u9613, _u9611, _u9609, _u9607)) != c_Orderings_Obot__class_Obot(tc_fun(_u9607, tc_HOL_Obool))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INT__extend__simps_I4_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INT__extend__simps_I4_J-1, axiom, ( ( _u9619 != c_Orderings_Obot__class_Obot(tc_fun(_u9621, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9623, tc_HOL_Obool)), _u9625), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9621, tc_fun(_u9623, tc_HOL_Obool)), _u9619), _u9627)) = _u9625) )).
% 20.36/20.55 cnf(fact_INT__extend__simps_I4_J-2, axiom, ( ( _u9620 = c_Orderings_Obot__class_Obot(tc_fun(_u9622, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9624, tc_HOL_Obool)), _u9626), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9622, tc_fun(_u9624, tc_HOL_Obool)), _u9620), _u9628)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9622, tc_fun(_u9624, tc_HOL_Obool)), _u9620), hAPP(hAPP(c_COMBB(tc_fun(_u9624, tc_HOL_Obool), tc_fun(_u9624, tc_HOL_Obool), _u9622), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9624, tc_HOL_Obool)), _u9626)), _u9628))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Union__def ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Union__def-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9629, tc_HOL_Obool), _u9630) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u9629, tc_HOL_Obool), tc_fun(_u9629, tc_HOL_Obool)), _u9630), c_COMBI(tc_fun(_u9629, tc_HOL_Obool)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Pow__INT__eq ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Pow__INT__eq-1, axiom, ( ( hAPP(c_Set_OPow(_u9631), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9632, tc_fun(_u9631, tc_HOL_Obool)), _u9633), _u9634)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9632, tc_fun(tc_fun(_u9631, tc_HOL_Obool), tc_HOL_Obool)), _u9633), hAPP(hAPP(c_COMBB(tc_fun(_u9631, tc_HOL_Obool), tc_fun(tc_fun(_u9631, tc_HOL_Obool), tc_HOL_Obool), _u9632), c_Set_OPow(_u9631)), _u9634))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Compl__INT ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Compl__INT-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9635, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9636, tc_fun(_u9635, tc_HOL_Obool)), _u9637), _u9638)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9636, tc_fun(_u9635, tc_HOL_Obool)), _u9637), hAPP(hAPP(c_COMBB(tc_fun(_u9635, tc_HOL_Obool), tc_fun(_u9635, tc_HOL_Obool), _u9636), c_Groups_Ouminus__class_Ouminus(tc_fun(_u9635, tc_HOL_Obool))), _u9638))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Compl__UN ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Compl__UN-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9639, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9640, tc_fun(_u9639, tc_HOL_Obool)), _u9641), _u9642)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9640, tc_fun(_u9639, tc_HOL_Obool)), _u9641), hAPP(hAPP(c_COMBB(tc_fun(_u9639, tc_HOL_Obool), tc_fun(_u9639, tc_HOL_Obool), _u9640), c_Groups_Ouminus__class_Ouminus(tc_fun(_u9639, tc_HOL_Obool))), _u9642))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_SUPR__apply ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_SUPR__apply-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9643) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9644, tc_fun(_u9645, _u9643)), _u9646), _u9647), _u9648) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9644, _u9643), _u9646), hAPP(hAPP(c_COMBC(_u9644, _u9645, _u9643), _u9647), _u9648))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INFI__apply ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INFI__apply-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9649) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9650, tc_fun(_u9651, _u9649)), _u9652), _u9653), _u9654) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9650, _u9649), _u9652), hAPP(hAPP(c_COMBC(_u9650, _u9651, _u9649), _u9653), _u9654))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_SUP__commute ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_SUP__commute-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9655) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9656, _u9655), _u9657), hAPP(hAPP(c_COMBB(tc_fun(_u9658, _u9655), _u9655, _u9656), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9658, _u9655), _u9659)), _u9660)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9658, _u9655), _u9659), hAPP(hAPP(c_COMBB(tc_fun(_u9656, _u9655), _u9655, _u9658), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9656, _u9655), _u9657)), hAPP(c_COMBC(_u9656, _u9658, _u9655), _u9660)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INF__commute ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INF__commute-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9661) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9662, _u9661), _u9663), hAPP(hAPP(c_COMBB(tc_fun(_u9664, _u9661), _u9661, _u9662), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9664, _u9661), _u9665)), _u9666)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9664, _u9661), _u9665), hAPP(hAPP(c_COMBB(tc_fun(_u9662, _u9661), _u9661, _u9664), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9662, _u9661), _u9663)), hAPP(c_COMBC(_u9662, _u9664, _u9661), _u9666)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INT__extend__simps_I8_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INT__extend__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u9667, tc_HOL_Obool), tc_fun(_u9668, tc_HOL_Obool)), _u9669), hAPP(hAPP(c_COMBC(tc_fun(_u9667, tc_HOL_Obool), tc_fun(_u9667, tc_fun(_u9668, tc_HOL_Obool)), tc_fun(_u9668, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9667, tc_fun(_u9668, tc_HOL_Obool))), _u9670)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9667, tc_fun(_u9668, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9667, tc_HOL_Obool), _u9669)), _u9670)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_UN__extend__simps_I8_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_UN__extend__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u9671, tc_HOL_Obool), tc_fun(_u9672, tc_HOL_Obool)), _u9673), hAPP(hAPP(c_COMBC(tc_fun(_u9671, tc_HOL_Obool), tc_fun(_u9671, tc_fun(_u9672, tc_HOL_Obool)), tc_fun(_u9672, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9671, tc_fun(_u9672, tc_HOL_Obool))), _u9674)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9671, tc_fun(_u9672, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9671, tc_HOL_Obool), _u9673)), _u9674)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INT__simps_I8_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INT__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9675, tc_fun(_u9676, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9675, tc_HOL_Obool), _u9677)), _u9678) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u9675, tc_HOL_Obool), tc_fun(_u9676, tc_HOL_Obool)), _u9677), hAPP(hAPP(c_COMBC(tc_fun(_u9675, tc_HOL_Obool), tc_fun(_u9675, tc_fun(_u9676, tc_HOL_Obool)), tc_fun(_u9676, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9675, tc_fun(_u9676, tc_HOL_Obool))), _u9678))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_UN__simps_I8_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_UN__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9679, tc_fun(_u9680, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9679, tc_HOL_Obool), _u9681)), _u9682) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u9679, tc_HOL_Obool), tc_fun(_u9680, tc_HOL_Obool)), _u9681), hAPP(hAPP(c_COMBC(tc_fun(_u9679, tc_HOL_Obool), tc_fun(_u9679, tc_fun(_u9680, tc_HOL_Obool)), tc_fun(_u9680, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9679, tc_fun(_u9680, tc_HOL_Obool))), _u9682))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_UN__simps_I7_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_UN__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9683, tc_fun(_u9684, tc_HOL_Obool)), _u9685), hAPP(hAPP(c_COMBB(tc_fun(_u9684, tc_HOL_Obool), tc_fun(_u9684, tc_HOL_Obool), _u9683), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9684, tc_HOL_Obool)), _u9686)), _u9687)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9684, tc_HOL_Obool)), _u9686), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9683, tc_fun(_u9684, tc_HOL_Obool)), _u9685), _u9687))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_UN__simps_I6_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_UN__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9688, tc_fun(_u9689, tc_HOL_Obool)), _u9690), hAPP(hAPP(c_COMBC(_u9688, tc_fun(_u9689, tc_HOL_Obool), tc_fun(_u9689, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9689, tc_HOL_Obool), tc_fun(tc_fun(_u9689, tc_HOL_Obool), tc_fun(_u9689, tc_HOL_Obool)), _u9688), c_Groups_Ominus__class_Ominus(tc_fun(_u9689, tc_HOL_Obool))), _u9691)), _u9692)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9689, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9688, tc_fun(_u9689, tc_HOL_Obool)), _u9690), _u9691)), _u9692)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_UN__extend__simps_I7_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_UN__extend__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9693, tc_HOL_Obool)), _u9694), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9695, tc_fun(_u9693, tc_HOL_Obool)), _u9696), _u9697)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9695, tc_fun(_u9693, tc_HOL_Obool)), _u9696), hAPP(hAPP(c_COMBB(tc_fun(_u9693, tc_HOL_Obool), tc_fun(_u9693, tc_HOL_Obool), _u9695), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9693, tc_HOL_Obool)), _u9694)), _u9697))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_UN__extend__simps_I6_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_UN__extend__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9698, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9699, tc_fun(_u9698, tc_HOL_Obool)), _u9700), _u9701)), _u9702) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9699, tc_fun(_u9698, tc_HOL_Obool)), _u9700), hAPP(hAPP(c_COMBC(_u9699, tc_fun(_u9698, tc_HOL_Obool), tc_fun(_u9698, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9698, tc_HOL_Obool), tc_fun(tc_fun(_u9698, tc_HOL_Obool), tc_fun(_u9698, tc_HOL_Obool)), _u9699), c_Groups_Ominus__class_Ominus(tc_fun(_u9698, tc_HOL_Obool))), _u9701)), _u9702))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_UN__iff ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_UN__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9710), _u9712), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9714, tc_fun(_u9710, tc_HOL_Obool)), _u9716), _u9718))) | hBOOL(hAPP(hAPP(c_member(_u9714), skolem191(_u9718, _u9716, _u9714, _u9712, _u9710)), _u9716)) )).
% 20.36/20.55 cnf(fact_UN__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9710), _u9712), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9714, tc_fun(_u9710, tc_HOL_Obool)), _u9716), _u9718))) | hBOOL(hAPP(hAPP(c_member(_u9710), _u9712), hAPP(_u9718, skolem191(_u9718, _u9716, _u9714, _u9712, _u9710)))) )).
% 20.36/20.55 cnf(fact_UN__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9715), _u9704), _u9717)) | ~hBOOL(hAPP(hAPP(c_member(_u9711), _u9713), hAPP(_u9719, _u9704))) | hBOOL(hAPP(hAPP(c_member(_u9711), _u9713), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9715, tc_fun(_u9711, tc_HOL_Obool)), _u9717), _u9719))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INT__iff ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INT__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9727), _u9729), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9731, tc_fun(_u9727, tc_HOL_Obool)), _u9733), _u9735))) | ~hBOOL(hAPP(hAPP(c_member(_u9731), _u9720), _u9733)) | hBOOL(hAPP(hAPP(c_member(_u9727), _u9729), hAPP(_u9735, _u9720))) )).
% 20.36/20.55 cnf(fact_INT__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9728), _u9730), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9732, tc_fun(_u9728, tc_HOL_Obool)), _u9734), _u9736))) | hBOOL(hAPP(hAPP(c_member(_u9732), skolem192(_u9736, _u9734, _u9732, _u9730, _u9728)), _u9734)) )).
% 20.36/20.55 cnf(fact_INT__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9728), _u9730), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9732, tc_fun(_u9728, tc_HOL_Obool)), _u9734), _u9736))) | ~hBOOL(hAPP(hAPP(c_member(_u9728), _u9730), hAPP(_u9736, skolem192(_u9736, _u9734, _u9732, _u9730, _u9728)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_UN__subset__iff ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_UN__subset__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9744, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9746, tc_fun(_u9744, tc_HOL_Obool)), _u9748), _u9750)), _u9752)) | ~hBOOL(hAPP(hAPP(c_member(_u9746), _u9737), _u9748)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9744, tc_HOL_Obool)), hAPP(_u9750, _u9737)), _u9752)) )).
% 20.36/20.55 cnf(fact_UN__subset__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9745, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9747, tc_fun(_u9745, tc_HOL_Obool)), _u9749), _u9751)), _u9753)) | hBOOL(hAPP(hAPP(c_member(_u9747), skolem193(_u9753, _u9751, _u9749, _u9747, _u9745)), _u9749)) )).
% 20.36/20.55 cnf(fact_UN__subset__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9745, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9747, tc_fun(_u9745, tc_HOL_Obool)), _u9749), _u9751)), _u9753)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9745, tc_HOL_Obool)), hAPP(_u9751, skolem193(_u9753, _u9751, _u9749, _u9747, _u9745))), _u9753)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INT__subset__iff ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INT__subset__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9761, tc_HOL_Obool)), _u9763), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9765, tc_fun(_u9761, tc_HOL_Obool)), _u9767), _u9769))) | ~hBOOL(hAPP(hAPP(c_member(_u9765), _u9754), _u9767)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9761, tc_HOL_Obool)), _u9763), hAPP(_u9769, _u9754))) )).
% 20.36/20.55 cnf(fact_INT__subset__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9762, tc_HOL_Obool)), _u9764), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9766, tc_fun(_u9762, tc_HOL_Obool)), _u9768), _u9770))) | hBOOL(hAPP(hAPP(c_member(_u9766), skolem194(_u9770, _u9768, _u9766, _u9764, _u9762)), _u9768)) )).
% 20.36/20.55 cnf(fact_INT__subset__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9762, tc_HOL_Obool)), _u9764), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9766, tc_fun(_u9762, tc_HOL_Obool)), _u9768), _u9770))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9762, tc_HOL_Obool)), _u9764), hAPP(_u9770, skolem194(_u9770, _u9768, _u9766, _u9764, _u9762)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_UN__Pow__subset ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_UN__Pow__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u9771, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9772, tc_fun(tc_fun(_u9771, tc_HOL_Obool), tc_HOL_Obool)), _u9773), hAPP(hAPP(c_COMBB(tc_fun(_u9771, tc_HOL_Obool), tc_fun(tc_fun(_u9771, tc_HOL_Obool), tc_HOL_Obool), _u9772), c_Set_OPow(_u9771)), _u9774))), hAPP(c_Set_OPow(_u9771), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9772, tc_fun(_u9771, tc_HOL_Obool)), _u9773), _u9774)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_vimage__UN ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_vimage__UN-1, axiom, ( ( hAPP(c_Set_Ovimage(_u9775, _u9776, _u9777), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9778, tc_fun(_u9776, tc_HOL_Obool)), _u9779), _u9780)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9778, tc_fun(_u9775, tc_HOL_Obool)), _u9779), hAPP(hAPP(c_COMBB(tc_fun(_u9776, tc_HOL_Obool), tc_fun(_u9775, tc_HOL_Obool), _u9778), c_Set_Ovimage(_u9775, _u9776, _u9777)), _u9780))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_vimage__INT ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_vimage__INT-1, axiom, ( ( hAPP(c_Set_Ovimage(_u9781, _u9782, _u9783), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9784, tc_fun(_u9782, tc_HOL_Obool)), _u9785), _u9786)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9784, tc_fun(_u9781, tc_HOL_Obool)), _u9785), hAPP(hAPP(c_COMBB(tc_fun(_u9782, tc_HOL_Obool), tc_fun(_u9781, tc_HOL_Obool), _u9784), c_Set_Ovimage(_u9781, _u9782, _u9783)), _u9786))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Image__UN ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Image__UN-1, axiom, ( ( hAPP(c_Relation_OImage(_u9787, _u9788, _u9789), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9790, tc_fun(_u9787, tc_HOL_Obool)), _u9791), _u9792)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9790, tc_fun(_u9788, tc_HOL_Obool)), _u9791), hAPP(hAPP(c_COMBB(tc_fun(_u9787, tc_HOL_Obool), tc_fun(_u9788, tc_HOL_Obool), _u9790), c_Relation_OImage(_u9787, _u9788, _u9789)), _u9792))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_UN__simps_I5_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_UN__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9793, tc_fun(_u9794, tc_HOL_Obool)), _u9795), hAPP(hAPP(c_COMBB(tc_fun(_u9794, tc_HOL_Obool), tc_fun(_u9794, tc_HOL_Obool), _u9793), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9794, tc_HOL_Obool)), _u9796)), _u9797)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9794, tc_HOL_Obool)), _u9796), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9793, tc_fun(_u9794, tc_HOL_Obool)), _u9795), _u9797))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_UN__simps_I4_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_UN__simps_I4_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9798, tc_fun(_u9799, tc_HOL_Obool)), _u9800), hAPP(hAPP(c_COMBC(_u9798, tc_fun(_u9799, tc_HOL_Obool), tc_fun(_u9799, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9799, tc_HOL_Obool), tc_fun(tc_fun(_u9799, tc_HOL_Obool), tc_fun(_u9799, tc_HOL_Obool)), _u9798), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9799, tc_HOL_Obool))), _u9801)), _u9802)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9799, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9798, tc_fun(_u9799, tc_HOL_Obool)), _u9800), _u9801)), _u9802)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INT__Int__distrib ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INT__Int__distrib-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9803, tc_fun(_u9804, tc_HOL_Obool)), _u9805), hAPP(hAPP(c_COMBS(_u9803, tc_fun(_u9804, tc_HOL_Obool), tc_fun(_u9804, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9804, tc_HOL_Obool), tc_fun(tc_fun(_u9804, tc_HOL_Obool), tc_fun(_u9804, tc_HOL_Obool)), _u9803), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9804, tc_HOL_Obool))), _u9806)), _u9807)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9804, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9803, tc_fun(_u9804, tc_HOL_Obool)), _u9805), _u9806)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9803, tc_fun(_u9804, tc_HOL_Obool)), _u9805), _u9807))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_UN__extend__simps_I5_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_UN__extend__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9808, tc_HOL_Obool)), _u9809), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9810, tc_fun(_u9808, tc_HOL_Obool)), _u9811), _u9812)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9810, tc_fun(_u9808, tc_HOL_Obool)), _u9811), hAPP(hAPP(c_COMBB(tc_fun(_u9808, tc_HOL_Obool), tc_fun(_u9808, tc_HOL_Obool), _u9810), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9808, tc_HOL_Obool)), _u9809)), _u9812))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Int__UN__distrib ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Int__UN__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9813, tc_HOL_Obool)), _u9814), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9815, tc_fun(_u9813, tc_HOL_Obool)), _u9816), _u9817)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9815, tc_fun(_u9813, tc_HOL_Obool)), _u9816), hAPP(hAPP(c_COMBB(tc_fun(_u9813, tc_HOL_Obool), tc_fun(_u9813, tc_HOL_Obool), _u9815), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9813, tc_HOL_Obool)), _u9814)), _u9817))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_UN__extend__simps_I4_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_UN__extend__simps_I4_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9818, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9819, tc_fun(_u9818, tc_HOL_Obool)), _u9820), _u9821)), _u9822) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9819, tc_fun(_u9818, tc_HOL_Obool)), _u9820), hAPP(hAPP(c_COMBC(_u9819, tc_fun(_u9818, tc_HOL_Obool), tc_fun(_u9818, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9818, tc_HOL_Obool), tc_fun(tc_fun(_u9818, tc_HOL_Obool), tc_fun(_u9818, tc_HOL_Obool)), _u9819), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9818, tc_HOL_Obool))), _u9821)), _u9822))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Int__UN__distrib2 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Int__UN__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9823, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9824, tc_fun(_u9823, tc_HOL_Obool)), _u9825), _u9826)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9827, tc_fun(_u9823, tc_HOL_Obool)), _u9828), _u9829)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9824, tc_fun(_u9823, tc_HOL_Obool)), _u9825), hAPP(hAPP(c_COMBB(tc_fun(_u9827, tc_fun(_u9823, tc_HOL_Obool)), tc_fun(_u9823, tc_HOL_Obool), _u9824), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9827, tc_fun(_u9823, tc_HOL_Obool)), _u9828)), hAPP(hAPP(c_COMBC(_u9824, tc_fun(_u9827, tc_fun(_u9823, tc_HOL_Obool)), tc_fun(_u9827, tc_fun(_u9823, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u9823, tc_HOL_Obool), tc_fun(_u9823, tc_HOL_Obool)), tc_fun(tc_fun(_u9827, tc_fun(_u9823, tc_HOL_Obool)), tc_fun(_u9827, tc_fun(_u9823, tc_HOL_Obool))), _u9824), c_COMBB(tc_fun(_u9823, tc_HOL_Obool), tc_fun(_u9823, tc_HOL_Obool), _u9827)), hAPP(hAPP(c_COMBB(tc_fun(_u9823, tc_HOL_Obool), tc_fun(tc_fun(_u9823, tc_HOL_Obool), tc_fun(_u9823, tc_HOL_Obool)), _u9824), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9823, tc_HOL_Obool))), _u9826))), _u9829)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Inter__def ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Inter__def-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u9830, tc_HOL_Obool), _u9831) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u9830, tc_HOL_Obool), tc_fun(_u9830, tc_HOL_Obool)), _u9831), c_COMBI(tc_fun(_u9830, tc_HOL_Obool)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INTER__UNIV__conv_I1_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INTER__UNIV__conv_I1_J-1, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u9838, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9840, tc_fun(_u9838, tc_HOL_Obool)), _u9842), _u9844)) | ~hBOOL(hAPP(hAPP(c_member(_u9840), _u9832), _u9842)) | ( hAPP(_u9844, _u9832) = c_Orderings_Otop__class_Otop(tc_fun(_u9838, tc_HOL_Obool))) )).
% 20.36/20.55 cnf(fact_INTER__UNIV__conv_I1_J-2, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u9839, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9841, tc_fun(_u9839, tc_HOL_Obool)), _u9843), _u9845)) | hBOOL(hAPP(hAPP(c_member(_u9841), skolem195(_u9845, _u9843, _u9841, _u9839)), _u9843)) )).
% 20.36/20.55 cnf(fact_INTER__UNIV__conv_I1_J-3, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u9839, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9841, tc_fun(_u9839, tc_HOL_Obool)), _u9843), _u9845)) | ( hAPP(_u9845, skolem195(_u9845, _u9843, _u9841, _u9839)) != c_Orderings_Otop__class_Otop(tc_fun(_u9839, tc_HOL_Obool))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INTER__UNIV__conv_I2_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INTER__UNIV__conv_I2_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9852, tc_fun(_u9854, tc_HOL_Obool)), _u9856), _u9858) != c_Orderings_Otop__class_Otop(tc_fun(_u9854, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9852), _u9846), _u9856)) | ( hAPP(_u9858, _u9846) = c_Orderings_Otop__class_Otop(tc_fun(_u9854, tc_HOL_Obool))) )).
% 20.36/20.55 cnf(fact_INTER__UNIV__conv_I2_J-2, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9853, tc_fun(_u9855, tc_HOL_Obool)), _u9857), _u9859) = c_Orderings_Otop__class_Otop(tc_fun(_u9855, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u9853), skolem196(_u9859, _u9857, _u9855, _u9853)), _u9857)) )).
% 20.36/20.55 cnf(fact_INTER__UNIV__conv_I2_J-3, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9853, tc_fun(_u9855, tc_HOL_Obool)), _u9857), _u9859) = c_Orderings_Otop__class_Otop(tc_fun(_u9855, tc_HOL_Obool))) | ( hAPP(_u9859, skolem196(_u9859, _u9857, _u9855, _u9853)) != c_Orderings_Otop__class_Otop(tc_fun(_u9855, tc_HOL_Obool))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INT__simps_I4_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INT__simps_I4_J-1, axiom, ( ( _u9865 != c_Orderings_Obot__class_Obot(tc_fun(_u9867, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9867, tc_fun(_u9869, tc_HOL_Obool)), _u9865), hAPP(hAPP(c_COMBB(tc_fun(_u9869, tc_HOL_Obool), tc_fun(_u9869, tc_HOL_Obool), _u9867), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9869, tc_HOL_Obool)), _u9871)), _u9873)) = c_Orderings_Otop__class_Otop(tc_fun(_u9869, tc_HOL_Obool))) )).
% 20.36/20.55 cnf(fact_INT__simps_I4_J-2, axiom, ( ( _u9866 = c_Orderings_Obot__class_Obot(tc_fun(_u9868, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9868, tc_fun(_u9870, tc_HOL_Obool)), _u9866), hAPP(hAPP(c_COMBB(tc_fun(_u9870, tc_HOL_Obool), tc_fun(_u9870, tc_HOL_Obool), _u9868), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9870, tc_HOL_Obool)), _u9872)), _u9874)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9870, tc_HOL_Obool)), _u9872), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9868, tc_fun(_u9870, tc_HOL_Obool)), _u9866), _u9874))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Un__INT__distrib2 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Un__INT__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9875, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9876, tc_fun(_u9875, tc_HOL_Obool)), _u9877), _u9878)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9879, tc_fun(_u9875, tc_HOL_Obool)), _u9880), _u9881)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9876, tc_fun(_u9875, tc_HOL_Obool)), _u9877), hAPP(hAPP(c_COMBB(tc_fun(_u9879, tc_fun(_u9875, tc_HOL_Obool)), tc_fun(_u9875, tc_HOL_Obool), _u9876), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9879, tc_fun(_u9875, tc_HOL_Obool)), _u9880)), hAPP(hAPP(c_COMBC(_u9876, tc_fun(_u9879, tc_fun(_u9875, tc_HOL_Obool)), tc_fun(_u9879, tc_fun(_u9875, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u9875, tc_HOL_Obool), tc_fun(_u9875, tc_HOL_Obool)), tc_fun(tc_fun(_u9879, tc_fun(_u9875, tc_HOL_Obool)), tc_fun(_u9879, tc_fun(_u9875, tc_HOL_Obool))), _u9876), c_COMBB(tc_fun(_u9875, tc_HOL_Obool), tc_fun(_u9875, tc_HOL_Obool), _u9879)), hAPP(hAPP(c_COMBB(tc_fun(_u9875, tc_HOL_Obool), tc_fun(tc_fun(_u9875, tc_HOL_Obool), tc_fun(_u9875, tc_HOL_Obool)), _u9876), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9875, tc_HOL_Obool))), _u9878))), _u9881)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INT__extend__simps_I6_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INT__extend__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9882, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9883, tc_fun(_u9882, tc_HOL_Obool)), _u9884), _u9885)), _u9886) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9883, tc_fun(_u9882, tc_HOL_Obool)), _u9884), hAPP(hAPP(c_COMBC(_u9883, tc_fun(_u9882, tc_HOL_Obool), tc_fun(_u9882, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9882, tc_HOL_Obool), tc_fun(tc_fun(_u9882, tc_HOL_Obool), tc_fun(_u9882, tc_HOL_Obool)), _u9883), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9882, tc_HOL_Obool))), _u9885)), _u9886))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_UN__Un ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_UN__Un-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9887, tc_fun(_u9888, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9887, tc_HOL_Obool)), _u9889), _u9890)), _u9891) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9888, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9887, tc_fun(_u9888, tc_HOL_Obool)), _u9889), _u9891)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9887, tc_fun(_u9888, tc_HOL_Obool)), _u9890), _u9891))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Un__INT__distrib ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Un__INT__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9892, tc_HOL_Obool)), _u9893), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9894, tc_fun(_u9892, tc_HOL_Obool)), _u9895), _u9896)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9894, tc_fun(_u9892, tc_HOL_Obool)), _u9895), hAPP(hAPP(c_COMBB(tc_fun(_u9892, tc_HOL_Obool), tc_fun(_u9892, tc_HOL_Obool), _u9894), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9892, tc_HOL_Obool)), _u9893)), _u9896))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INT__extend__simps_I7_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INT__extend__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9897, tc_HOL_Obool)), _u9898), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9899, tc_fun(_u9897, tc_HOL_Obool)), _u9900), _u9901)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9899, tc_fun(_u9897, tc_HOL_Obool)), _u9900), hAPP(hAPP(c_COMBB(tc_fun(_u9897, tc_HOL_Obool), tc_fun(_u9897, tc_HOL_Obool), _u9899), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9897, tc_HOL_Obool)), _u9898)), _u9901))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_UN__Un__distrib ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_UN__Un__distrib-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9902, tc_fun(_u9903, tc_HOL_Obool)), _u9904), hAPP(hAPP(c_COMBS(_u9902, tc_fun(_u9903, tc_HOL_Obool), tc_fun(_u9903, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9903, tc_HOL_Obool), tc_fun(tc_fun(_u9903, tc_HOL_Obool), tc_fun(_u9903, tc_HOL_Obool)), _u9902), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9903, tc_HOL_Obool))), _u9905)), _u9906)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9903, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9902, tc_fun(_u9903, tc_HOL_Obool)), _u9904), _u9905)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9902, tc_fun(_u9903, tc_HOL_Obool)), _u9904), _u9906))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INT__simps_I6_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INT__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9907, tc_fun(_u9908, tc_HOL_Obool)), _u9909), hAPP(hAPP(c_COMBC(_u9907, tc_fun(_u9908, tc_HOL_Obool), tc_fun(_u9908, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9908, tc_HOL_Obool), tc_fun(tc_fun(_u9908, tc_HOL_Obool), tc_fun(_u9908, tc_HOL_Obool)), _u9907), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9908, tc_HOL_Obool))), _u9910)), _u9911)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9908, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9907, tc_fun(_u9908, tc_HOL_Obool)), _u9909), _u9910)), _u9911)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INT__simps_I7_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INT__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9912, tc_fun(_u9913, tc_HOL_Obool)), _u9914), hAPP(hAPP(c_COMBB(tc_fun(_u9913, tc_HOL_Obool), tc_fun(_u9913, tc_HOL_Obool), _u9912), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9913, tc_HOL_Obool)), _u9915)), _u9916)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9913, tc_HOL_Obool)), _u9915), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9912, tc_fun(_u9913, tc_HOL_Obool)), _u9914), _u9916))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INF__INT__eq2 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INF__INT__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9923, tc_fun(_u9925, tc_fun(_u9927, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u9923, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u9925, _u9927), tc_HOL_Obool), tc_fun(_u9925, tc_fun(_u9927, tc_HOL_Obool)), _u9923), hAPP(c_COMBC(_u9925, tc_fun(tc_prod(_u9925, _u9927), tc_HOL_Obool), tc_fun(_u9927, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9927, tc_fun(tc_fun(tc_prod(_u9925, _u9927), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9925, _u9927), tc_HOL_Obool), tc_fun(_u9927, tc_HOL_Obool)), _u9925), c_COMBC(_u9927, tc_fun(tc_prod(_u9925, _u9927), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9927, tc_prod(_u9925, _u9927)), tc_fun(_u9927, tc_fun(tc_fun(tc_prod(_u9925, _u9927), tc_HOL_Obool), tc_HOL_Obool)), _u9925), hAPP(c_COMBB(tc_prod(_u9925, _u9927), tc_fun(tc_fun(tc_prod(_u9925, _u9927), tc_HOL_Obool), tc_HOL_Obool), _u9927), c_member(tc_prod(_u9925, _u9927)))), c_Product__Type_OPair(_u9925, _u9927))))), _u9929)), _u9931), _u9933)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u9925, _u9927)), hAPP(hAPP(c_Product__Type_OPair(_u9925, _u9927), _u9931), _u9933)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9923, tc_fun(tc_prod(_u9925, _u9927), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9923, tc_HOL_Obool))), _u9929))) )).
% 20.36/20.55 cnf(fact_INF__INT__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u9926, _u9928)), hAPP(hAPP(c_Product__Type_OPair(_u9926, _u9928), _u9932), _u9934)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9924, tc_fun(tc_prod(_u9926, _u9928), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9924, tc_HOL_Obool))), _u9930))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9924, tc_fun(_u9926, tc_fun(_u9928, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u9924, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u9926, _u9928), tc_HOL_Obool), tc_fun(_u9926, tc_fun(_u9928, tc_HOL_Obool)), _u9924), hAPP(c_COMBC(_u9926, tc_fun(tc_prod(_u9926, _u9928), tc_HOL_Obool), tc_fun(_u9928, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9928, tc_fun(tc_fun(tc_prod(_u9926, _u9928), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9926, _u9928), tc_HOL_Obool), tc_fun(_u9928, tc_HOL_Obool)), _u9926), c_COMBC(_u9928, tc_fun(tc_prod(_u9926, _u9928), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9928, tc_prod(_u9926, _u9928)), tc_fun(_u9928, tc_fun(tc_fun(tc_prod(_u9926, _u9928), tc_HOL_Obool), tc_HOL_Obool)), _u9926), hAPP(c_COMBB(tc_prod(_u9926, _u9928), tc_fun(tc_fun(tc_prod(_u9926, _u9928), tc_HOL_Obool), tc_HOL_Obool), _u9928), c_member(tc_prod(_u9926, _u9928)))), c_Product__Type_OPair(_u9926, _u9928))))), _u9930)), _u9932), _u9934)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_SUP__UN__eq2 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_SUP__UN__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9941, tc_fun(_u9943, tc_fun(_u9945, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u9941, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u9943, _u9945), tc_HOL_Obool), tc_fun(_u9943, tc_fun(_u9945, tc_HOL_Obool)), _u9941), hAPP(c_COMBC(_u9943, tc_fun(tc_prod(_u9943, _u9945), tc_HOL_Obool), tc_fun(_u9945, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9945, tc_fun(tc_fun(tc_prod(_u9943, _u9945), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9943, _u9945), tc_HOL_Obool), tc_fun(_u9945, tc_HOL_Obool)), _u9943), c_COMBC(_u9945, tc_fun(tc_prod(_u9943, _u9945), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9945, tc_prod(_u9943, _u9945)), tc_fun(_u9945, tc_fun(tc_fun(tc_prod(_u9943, _u9945), tc_HOL_Obool), tc_HOL_Obool)), _u9943), hAPP(c_COMBB(tc_prod(_u9943, _u9945), tc_fun(tc_fun(tc_prod(_u9943, _u9945), tc_HOL_Obool), tc_HOL_Obool), _u9945), c_member(tc_prod(_u9943, _u9945)))), c_Product__Type_OPair(_u9943, _u9945))))), _u9947)), _u9949), _u9951)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u9943, _u9945)), hAPP(hAPP(c_Product__Type_OPair(_u9943, _u9945), _u9949), _u9951)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9941, tc_fun(tc_prod(_u9943, _u9945), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9941, tc_HOL_Obool))), _u9947))) )).
% 20.36/20.55 cnf(fact_SUP__UN__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u9944, _u9946)), hAPP(hAPP(c_Product__Type_OPair(_u9944, _u9946), _u9950), _u9952)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9942, tc_fun(tc_prod(_u9944, _u9946), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9942, tc_HOL_Obool))), _u9948))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9942, tc_fun(_u9944, tc_fun(_u9946, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u9942, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u9944, _u9946), tc_HOL_Obool), tc_fun(_u9944, tc_fun(_u9946, tc_HOL_Obool)), _u9942), hAPP(c_COMBC(_u9944, tc_fun(tc_prod(_u9944, _u9946), tc_HOL_Obool), tc_fun(_u9946, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9946, tc_fun(tc_fun(tc_prod(_u9944, _u9946), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9944, _u9946), tc_HOL_Obool), tc_fun(_u9946, tc_HOL_Obool)), _u9944), c_COMBC(_u9946, tc_fun(tc_prod(_u9944, _u9946), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9946, tc_prod(_u9944, _u9946)), tc_fun(_u9946, tc_fun(tc_fun(tc_prod(_u9944, _u9946), tc_HOL_Obool), tc_HOL_Obool)), _u9944), hAPP(c_COMBB(tc_prod(_u9944, _u9946), tc_fun(tc_fun(tc_prod(_u9944, _u9946), tc_HOL_Obool), tc_HOL_Obool), _u9946), c_member(tc_prod(_u9944, _u9946)))), c_Product__Type_OPair(_u9944, _u9946))))), _u9948)), _u9950), _u9952)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_SUP__le__iff ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_SUP__le__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9955) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9955), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9956, _u9955), _u9957), _u9958)), _u9959)) | ~hBOOL(hAPP(hAPP(c_member(_u9956), _u9953), _u9957)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9955), hAPP(_u9958, _u9953)), _u9959)) )).
% 20.36/20.55 cnf(fact_SUP__le__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9955) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9955), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9956, _u9955), _u9957), _u9958)), _u9959)) | hBOOL(hAPP(hAPP(c_member(_u9956), skolem197(_u9959, _u9958, _u9957, _u9956, _u9955)), _u9957)) )).
% 20.36/20.55 cnf(fact_SUP__le__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9955) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9955), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9956, _u9955), _u9957), _u9958)), _u9959)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9955), hAPP(_u9958, skolem197(_u9959, _u9958, _u9957, _u9956, _u9955))), _u9959)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_le__INF__iff ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_le__INF__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9962) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9962), _u9963), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9964, _u9962), _u9965), _u9966))) | ~hBOOL(hAPP(hAPP(c_member(_u9964), _u9960), _u9965)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9962), _u9963), hAPP(_u9966, _u9960))) )).
% 20.36/20.55 cnf(fact_le__INF__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9962) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9962), _u9963), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9964, _u9962), _u9965), _u9966))) | hBOOL(hAPP(hAPP(c_member(_u9964), skolem198(_u9966, _u9965, _u9964, _u9963, _u9962)), _u9965)) )).
% 20.36/20.55 cnf(fact_le__INF__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9962) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9962), _u9963), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9964, _u9962), _u9965), _u9966))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9962), _u9963), hAPP(_u9966, skolem198(_u9966, _u9965, _u9964, _u9963, _u9962)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_less__SUP__iff ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_less__SUP__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9969) | ~class_Orderings_Olinorder(_u9969) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9969), _u9970), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9971, _u9969), _u9972), _u9973))) | hBOOL(hAPP(hAPP(c_member(_u9971), skolem199(_u9973, _u9972, _u9971, _u9970, _u9969)), _u9972)) )).
% 20.36/20.55 cnf(fact_less__SUP__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9969) | ~class_Orderings_Olinorder(_u9969) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9969), _u9970), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9971, _u9969), _u9972), _u9973))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9969), _u9970), hAPP(_u9973, skolem199(_u9973, _u9972, _u9971, _u9970, _u9969)))) )).
% 20.36/20.55 cnf(fact_less__SUP__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9969) | ~class_Orderings_Olinorder(_u9969) | ~hBOOL(hAPP(hAPP(c_member(_u9971), _u9968), _u9972)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9969), _u9970), hAPP(_u9973, _u9968))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9969), _u9970), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9971, _u9969), _u9972), _u9973))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INF__less__iff ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INF__less__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9976) | ~class_Orderings_Olinorder(_u9976) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9976), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9977, _u9976), _u9978), _u9979)), _u9980)) | hBOOL(hAPP(hAPP(c_member(_u9977), skolem200(_u9980, _u9979, _u9978, _u9977, _u9976)), _u9978)) )).
% 20.36/20.55 cnf(fact_INF__less__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9976) | ~class_Orderings_Olinorder(_u9976) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9976), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9977, _u9976), _u9978), _u9979)), _u9980)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9976), hAPP(_u9979, skolem200(_u9980, _u9979, _u9978, _u9977, _u9976))), _u9980)) )).
% 20.36/20.55 cnf(fact_INF__less__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9976) | ~class_Orderings_Olinorder(_u9976) | ~hBOOL(hAPP(hAPP(c_member(_u9977), _u9975), _u9978)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9976), hAPP(_u9979, _u9975)), _u9980)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9976), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9977, _u9976), _u9978), _u9979)), _u9980)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INT__insert__distrib ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INT__insert__distrib-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9981), _u9982), _u9983)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9981, tc_fun(_u9984, tc_HOL_Obool)), _u9983), hAPP(hAPP(c_COMBB(tc_fun(_u9984, tc_HOL_Obool), tc_fun(_u9984, tc_HOL_Obool), _u9981), hAPP(c_Set_Oinsert(_u9984), _u9985)), _u9986)) = hAPP(hAPP(c_Set_Oinsert(_u9984), _u9985), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9981, tc_fun(_u9984, tc_HOL_Obool)), _u9983), _u9986))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INT__lower ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INT__lower-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9987), _u9988), _u9989)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9990, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9987, tc_fun(_u9990, tc_HOL_Obool)), _u9989), _u9991)), hAPP(_u9991, _u9988))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INF__INT__eq ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INF__INT__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9996, tc_fun(_u9998, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9996, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9998, tc_HOL_Obool), tc_fun(_u9998, tc_HOL_Obool), _u9996), hAPP(c_COMBC(_u9998, tc_fun(_u9998, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9998))), _u10000)), _u10002)) | hBOOL(hAPP(hAPP(c_member(_u9998), _u10002), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9996, tc_fun(_u9998, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9996, tc_HOL_Obool))), _u10000))) )).
% 20.36/20.55 cnf(fact_INF__INT__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9999), _u10003), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9997, tc_fun(_u9999, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9997, tc_HOL_Obool))), _u10001))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9997, tc_fun(_u9999, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9997, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9999, tc_HOL_Obool), tc_fun(_u9999, tc_HOL_Obool), _u9997), hAPP(c_COMBC(_u9999, tc_fun(_u9999, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9999))), _u10001)), _u10003)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INT__absorb ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INT__absorb-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10004), _u10005), _u10006)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10007, tc_HOL_Obool)), hAPP(_u10008, _u10005)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10004, tc_fun(_u10007, tc_HOL_Obool)), _u10006), _u10008)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10004, tc_fun(_u10007, tc_HOL_Obool)), _u10006), _u10008)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_SUP__const ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_SUP__const-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10009) | ( _u10010 = c_Orderings_Obot__class_Obot(tc_fun(_u10011, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10011, _u10009), _u10010), hAPP(c_COMBK(_u10009, _u10011), _u10012)) = _u10012) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INF__const ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INF__const-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10013) | ( _u10014 = c_Orderings_Obot__class_Obot(tc_fun(_u10015, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10015, _u10013), _u10014), hAPP(c_COMBK(_u10013, _u10015), _u10016)) = _u10016) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_UN__insert__distrib ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_UN__insert__distrib-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10017), _u10018), _u10019)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10017, tc_fun(_u10020, tc_HOL_Obool)), _u10019), hAPP(hAPP(c_COMBB(tc_fun(_u10020, tc_HOL_Obool), tc_fun(_u10020, tc_HOL_Obool), _u10017), hAPP(c_Set_Oinsert(_u10020), _u10021)), _u10022)) = hAPP(hAPP(c_Set_Oinsert(_u10020), _u10021), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10017, tc_fun(_u10020, tc_HOL_Obool)), _u10019), _u10022))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INT__constant ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INT__constant-1, axiom, ( ( _u10027 != c_Orderings_Obot__class_Obot(tc_fun(_u10029, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10029, tc_fun(_u10031, tc_HOL_Obool)), _u10027), hAPP(c_COMBK(tc_fun(_u10031, tc_HOL_Obool), _u10029), _u10033)) = c_Orderings_Otop__class_Otop(tc_fun(_u10031, tc_HOL_Obool))) )).
% 20.36/20.55 cnf(fact_INT__constant-2, axiom, ( ( _u10028 = c_Orderings_Obot__class_Obot(tc_fun(_u10030, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10030, tc_fun(_u10032, tc_HOL_Obool)), _u10028), hAPP(c_COMBK(tc_fun(_u10032, tc_HOL_Obool), _u10030), _u10034)) = _u10034) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INT__empty ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INT__empty-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10035, tc_fun(_u10036, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u10035, tc_HOL_Obool))), _u10037) = c_Orderings_Otop__class_Otop(tc_fun(_u10036, tc_HOL_Obool))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INT__extend__simps_I2_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INT__extend__simps_I2_J-1, axiom, ( ( _u10043 != c_Orderings_Obot__class_Obot(tc_fun(_u10045, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10047, tc_HOL_Obool)), _u10049), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10045, tc_fun(_u10047, tc_HOL_Obool)), _u10043), _u10051)) = _u10049) )).
% 20.36/20.55 cnf(fact_INT__extend__simps_I2_J-2, axiom, ( ( _u10044 = c_Orderings_Obot__class_Obot(tc_fun(_u10046, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10048, tc_HOL_Obool)), _u10050), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10046, tc_fun(_u10048, tc_HOL_Obool)), _u10044), _u10052)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10046, tc_fun(_u10048, tc_HOL_Obool)), _u10044), hAPP(hAPP(c_COMBB(tc_fun(_u10048, tc_HOL_Obool), tc_fun(_u10048, tc_HOL_Obool), _u10046), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10048, tc_HOL_Obool)), _u10050)), _u10052))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INT__extend__simps_I1_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INT__extend__simps_I1_J-1, axiom, ( ( _u10058 != c_Orderings_Obot__class_Obot(tc_fun(_u10060, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10062, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10060, tc_fun(_u10062, tc_HOL_Obool)), _u10058), _u10064)), _u10066) = _u10066) )).
% 20.36/20.55 cnf(fact_INT__extend__simps_I1_J-2, axiom, ( ( _u10059 = c_Orderings_Obot__class_Obot(tc_fun(_u10061, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10063, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10061, tc_fun(_u10063, tc_HOL_Obool)), _u10059), _u10065)), _u10067) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10061, tc_fun(_u10063, tc_HOL_Obool)), _u10059), hAPP(hAPP(c_COMBC(_u10061, tc_fun(_u10063, tc_HOL_Obool), tc_fun(_u10063, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10063, tc_HOL_Obool), tc_fun(tc_fun(_u10063, tc_HOL_Obool), tc_fun(_u10063, tc_HOL_Obool)), _u10061), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10063, tc_HOL_Obool))), _u10065)), _u10067))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_UN__upper ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_UN__upper-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10068), _u10069), _u10070)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10071, tc_HOL_Obool)), hAPP(_u10072, _u10069)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10068, tc_fun(_u10071, tc_HOL_Obool)), _u10070), _u10072))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_SUP__UN__eq ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_SUP__UN__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10077, tc_fun(_u10079, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u10077, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u10079, tc_HOL_Obool), tc_fun(_u10079, tc_HOL_Obool), _u10077), hAPP(c_COMBC(_u10079, tc_fun(_u10079, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10079))), _u10081)), _u10083)) | hBOOL(hAPP(hAPP(c_member(_u10079), _u10083), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10077, tc_fun(_u10079, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u10077, tc_HOL_Obool))), _u10081))) )).
% 20.36/20.55 cnf(fact_SUP__UN__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10080), _u10084), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10078, tc_fun(_u10080, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u10078, tc_HOL_Obool))), _u10082))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10078, tc_fun(_u10080, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u10078, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u10080, tc_HOL_Obool), tc_fun(_u10080, tc_HOL_Obool), _u10078), hAPP(c_COMBC(_u10080, tc_fun(_u10080, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10080))), _u10082)), _u10084)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_UN__absorb ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_UN__absorb-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10085), _u10086), _u10087)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10088, tc_HOL_Obool)), hAPP(_u10089, _u10086)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10085, tc_fun(_u10088, tc_HOL_Obool)), _u10087), _u10089)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10085, tc_fun(_u10088, tc_HOL_Obool)), _u10087), _u10089)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INT__insert ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INT__insert-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10090, tc_fun(_u10091, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u10090), _u10092), _u10093)), _u10094) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10091, tc_HOL_Obool)), hAPP(_u10094, _u10092)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10090, tc_fun(_u10091, tc_HOL_Obool)), _u10093), _u10094))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_UN__simps_I1_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_UN__simps_I1_J-1, axiom, ( ( _u10100 != c_Orderings_Obot__class_Obot(tc_fun(_u10102, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10102, tc_fun(_u10104, tc_HOL_Obool)), _u10100), hAPP(hAPP(c_COMBB(tc_fun(_u10104, tc_HOL_Obool), tc_fun(_u10104, tc_HOL_Obool), _u10102), hAPP(c_Set_Oinsert(_u10104), _u10106)), _u10108)) = c_Orderings_Obot__class_Obot(tc_fun(_u10104, tc_HOL_Obool))) )).
% 20.36/20.55 cnf(fact_UN__simps_I1_J-2, axiom, ( ( _u10101 = c_Orderings_Obot__class_Obot(tc_fun(_u10103, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10103, tc_fun(_u10105, tc_HOL_Obool)), _u10101), hAPP(hAPP(c_COMBB(tc_fun(_u10105, tc_HOL_Obool), tc_fun(_u10105, tc_HOL_Obool), _u10103), hAPP(c_Set_Oinsert(_u10105), _u10107)), _u10109)) = hAPP(hAPP(c_Set_Oinsert(_u10105), _u10107), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10103, tc_fun(_u10105, tc_HOL_Obool)), _u10101), _u10109))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_UN__singleton ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_UN__singleton-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10110, tc_fun(_u10110, tc_HOL_Obool)), _u10111), hAPP(hAPP(c_COMBC(_u10110, tc_fun(_u10110, tc_HOL_Obool), tc_fun(_u10110, tc_HOL_Obool)), c_Set_Oinsert(_u10110)), c_Orderings_Obot__class_Obot(tc_fun(_u10110, tc_HOL_Obool)))) = _u10111) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_UN__extend__simps_I1_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_UN__extend__simps_I1_J-1, axiom, ( ( _u10117 != c_Orderings_Obot__class_Obot(tc_fun(_u10119, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u10121), _u10123), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10119, tc_fun(_u10121, tc_HOL_Obool)), _u10117), _u10125)) = hAPP(hAPP(c_Set_Oinsert(_u10121), _u10123), c_Orderings_Obot__class_Obot(tc_fun(_u10121, tc_HOL_Obool)))) )).
% 20.36/20.55 cnf(fact_UN__extend__simps_I1_J-2, axiom, ( ( _u10118 = c_Orderings_Obot__class_Obot(tc_fun(_u10120, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u10122), _u10124), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10120, tc_fun(_u10122, tc_HOL_Obool)), _u10118), _u10126)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10120, tc_fun(_u10122, tc_HOL_Obool)), _u10118), hAPP(hAPP(c_COMBB(tc_fun(_u10122, tc_HOL_Obool), tc_fun(_u10122, tc_HOL_Obool), _u10120), hAPP(c_Set_Oinsert(_u10122), _u10124)), _u10126))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INT__Un ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INT__Un-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10127, tc_fun(_u10128, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10127, tc_HOL_Obool)), _u10129), _u10130)), _u10131) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10128, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10127, tc_fun(_u10128, tc_HOL_Obool)), _u10129), _u10131)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10127, tc_fun(_u10128, tc_HOL_Obool)), _u10130), _u10131))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_UN__extend__simps_I2_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_UN__extend__simps_I2_J-1, axiom, ( ( _u10137 != c_Orderings_Obot__class_Obot(tc_fun(_u10139, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10141, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10139, tc_fun(_u10141, tc_HOL_Obool)), _u10137), _u10143)), _u10145) = _u10145) )).
% 20.36/20.55 cnf(fact_UN__extend__simps_I2_J-2, axiom, ( ( _u10138 = c_Orderings_Obot__class_Obot(tc_fun(_u10140, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10142, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10140, tc_fun(_u10142, tc_HOL_Obool)), _u10138), _u10144)), _u10146) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10140, tc_fun(_u10142, tc_HOL_Obool)), _u10138), hAPP(hAPP(c_COMBC(_u10140, tc_fun(_u10142, tc_HOL_Obool), tc_fun(_u10142, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10142, tc_HOL_Obool), tc_fun(tc_fun(_u10142, tc_HOL_Obool), tc_fun(_u10142, tc_HOL_Obool)), _u10140), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10142, tc_HOL_Obool))), _u10144)), _u10146))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_UN__extend__simps_I3_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_UN__extend__simps_I3_J-1, axiom, ( ( _u10152 != c_Orderings_Obot__class_Obot(tc_fun(_u10154, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10156, tc_HOL_Obool)), _u10158), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10154, tc_fun(_u10156, tc_HOL_Obool)), _u10152), _u10160)) = _u10158) )).
% 20.36/20.55 cnf(fact_UN__extend__simps_I3_J-2, axiom, ( ( _u10153 = c_Orderings_Obot__class_Obot(tc_fun(_u10155, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10157, tc_HOL_Obool)), _u10159), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10155, tc_fun(_u10157, tc_HOL_Obool)), _u10153), _u10161)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10155, tc_fun(_u10157, tc_HOL_Obool)), _u10153), hAPP(hAPP(c_COMBB(tc_fun(_u10157, tc_HOL_Obool), tc_fun(_u10157, tc_HOL_Obool), _u10155), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10157, tc_HOL_Obool)), _u10159)), _u10161))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_UN__simps_I2_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_UN__simps_I2_J-1, axiom, ( ( _u10167 != c_Orderings_Obot__class_Obot(tc_fun(_u10169, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10169, tc_fun(_u10171, tc_HOL_Obool)), _u10167), hAPP(hAPP(c_COMBC(_u10169, tc_fun(_u10171, tc_HOL_Obool), tc_fun(_u10171, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10171, tc_HOL_Obool), tc_fun(tc_fun(_u10171, tc_HOL_Obool), tc_fun(_u10171, tc_HOL_Obool)), _u10169), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10171, tc_HOL_Obool))), _u10173)), _u10175)) = c_Orderings_Obot__class_Obot(tc_fun(_u10171, tc_HOL_Obool))) )).
% 20.36/20.55 cnf(fact_UN__simps_I2_J-2, axiom, ( ( _u10168 = c_Orderings_Obot__class_Obot(tc_fun(_u10170, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10170, tc_fun(_u10172, tc_HOL_Obool)), _u10168), hAPP(hAPP(c_COMBC(_u10170, tc_fun(_u10172, tc_HOL_Obool), tc_fun(_u10172, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10172, tc_HOL_Obool), tc_fun(tc_fun(_u10172, tc_HOL_Obool), tc_fun(_u10172, tc_HOL_Obool)), _u10170), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10172, tc_HOL_Obool))), _u10174)), _u10176)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10172, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10170, tc_fun(_u10172, tc_HOL_Obool)), _u10168), _u10174)), _u10176)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_UN__simps_I3_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_UN__simps_I3_J-1, axiom, ( ( _u10182 != c_Orderings_Obot__class_Obot(tc_fun(_u10184, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10184, tc_fun(_u10186, tc_HOL_Obool)), _u10182), hAPP(hAPP(c_COMBB(tc_fun(_u10186, tc_HOL_Obool), tc_fun(_u10186, tc_HOL_Obool), _u10184), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10186, tc_HOL_Obool)), _u10188)), _u10190)) = c_Orderings_Obot__class_Obot(tc_fun(_u10186, tc_HOL_Obool))) )).
% 20.36/20.55 cnf(fact_UN__simps_I3_J-2, axiom, ( ( _u10183 = c_Orderings_Obot__class_Obot(tc_fun(_u10185, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10185, tc_fun(_u10187, tc_HOL_Obool)), _u10183), hAPP(hAPP(c_COMBB(tc_fun(_u10187, tc_HOL_Obool), tc_fun(_u10187, tc_HOL_Obool), _u10185), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10187, tc_HOL_Obool)), _u10189)), _u10191)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10187, tc_HOL_Obool)), _u10189), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10185, tc_fun(_u10187, tc_HOL_Obool)), _u10183), _u10191))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_UN__insert ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_UN__insert-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10192, tc_fun(_u10193, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u10192), _u10194), _u10195)), _u10196) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10193, tc_HOL_Obool)), hAPP(_u10196, _u10194)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10192, tc_fun(_u10193, tc_HOL_Obool)), _u10195), _u10196))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Image__INT__subset ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Image__INT__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10197, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10198, _u10197, _u10199), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10200, tc_fun(_u10198, tc_HOL_Obool)), _u10201), _u10202))), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10200, tc_fun(_u10197, tc_HOL_Obool)), _u10201), hAPP(hAPP(c_COMBB(tc_fun(_u10198, tc_HOL_Obool), tc_fun(_u10197, tc_HOL_Obool), _u10200), c_Relation_OImage(_u10198, _u10197, _u10199)), _u10202)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Int__Union ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Int__Union-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10203, tc_HOL_Obool)), _u10204), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10203, tc_HOL_Obool), _u10205)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u10203, tc_HOL_Obool), tc_fun(_u10203, tc_HOL_Obool)), _u10205), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10203, tc_HOL_Obool)), _u10204))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Int__Union2 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Int__Union2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10206, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10206, tc_HOL_Obool), _u10207)), _u10208) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u10206, tc_HOL_Obool), tc_fun(_u10206, tc_HOL_Obool)), _u10207), hAPP(hAPP(c_COMBC(tc_fun(_u10206, tc_HOL_Obool), tc_fun(_u10206, tc_HOL_Obool), tc_fun(_u10206, tc_HOL_Obool)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10206, tc_HOL_Obool))), _u10208))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Un__Inter ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Un__Inter-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10209, tc_HOL_Obool)), _u10210), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u10209, tc_HOL_Obool), _u10211)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u10209, tc_HOL_Obool), tc_fun(_u10209, tc_HOL_Obool)), _u10211), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10209, tc_HOL_Obool)), _u10210))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_atLeastatMost__empty__iff2 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_atLeastatMost__empty__iff2-1, axiom, ( ~class_Orderings_Oorder(_u10212) | ( c_Orderings_Obot__class_Obot(tc_fun(_u10212, tc_HOL_Obool)) != c_SetInterval_Oord__class_OatLeastAtMost(_u10212, _u10213, _u10214)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10212), _u10213), _u10214)) )).
% 20.36/20.55 cnf(fact_atLeastatMost__empty__iff2-2, axiom, ( ~class_Orderings_Oorder(_u10212) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10212), _u10213), _u10214)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u10212, tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(_u10212, _u10213, _u10214)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_atLeastatMost__empty__iff ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_atLeastatMost__empty__iff-1, axiom, ( ~class_Orderings_Oorder(_u10215) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u10215, _u10216, _u10217) != c_Orderings_Obot__class_Obot(tc_fun(_u10215, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10215), _u10216), _u10217)) )).
% 20.36/20.55 cnf(fact_atLeastatMost__empty__iff-2, axiom, ( ~class_Orderings_Oorder(_u10215) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10215), _u10216), _u10217)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u10215, _u10216, _u10217) = c_Orderings_Obot__class_Obot(tc_fun(_u10215, tc_HOL_Obool))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_atLeastatMost__empty ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_atLeastatMost__empty-1, axiom, ( ~class_Orderings_Oorder(_u10218) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10218), _u10219), _u10220)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u10218, _u10220, _u10219) = c_Orderings_Obot__class_Obot(tc_fun(_u10218, tc_HOL_Obool))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_atLeastatMost__subset__iff ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_atLeastatMost__subset__iff-1, axiom, ( ~class_Orderings_Oorder(_u10221) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10221, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10221, _u10222, _u10223)), c_SetInterval_Oord__class_OatLeastAtMost(_u10221, _u10224, _u10225))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10221), _u10222), _u10223)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10221), _u10224), _u10222)) )).
% 20.36/20.55 cnf(fact_atLeastatMost__subset__iff-2, axiom, ( ~class_Orderings_Oorder(_u10221) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10221, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10221, _u10222, _u10223)), c_SetInterval_Oord__class_OatLeastAtMost(_u10221, _u10224, _u10225))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10221), _u10222), _u10223)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10221), _u10223), _u10225)) )).
% 20.36/20.55 cnf(fact_atLeastatMost__subset__iff-3, axiom, ( ~class_Orderings_Oorder(_u10221) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10221, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10221, _u10222, _u10223)), c_SetInterval_Oord__class_OatLeastAtMost(_u10221, _u10224, _u10225))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10221), _u10222), _u10223)) )).
% 20.36/20.55 cnf(fact_atLeastatMost__subset__iff-4, axiom, ( ~class_Orderings_Oorder(_u10221) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10221, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10221, _u10222, _u10223)), c_SetInterval_Oord__class_OatLeastAtMost(_u10221, _u10224, _u10225))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10221), _u10224), _u10222)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10221), _u10223), _u10225)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_atLeastAtMost__singleton ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_atLeastAtMost__singleton-1, axiom, ( ~class_Orderings_Oorder(_u10226) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u10226, _u10227, _u10227) = hAPP(hAPP(c_Set_Oinsert(_u10226), _u10227), c_Orderings_Obot__class_Obot(tc_fun(_u10226, tc_HOL_Obool)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_atLeastAtMost__singleton__iff ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_atLeastAtMost__singleton__iff-1, axiom, ( ~class_Orderings_Oorder(_u10228) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u10228, _u10229, _u10230) != hAPP(hAPP(c_Set_Oinsert(_u10228), _u10231), c_Orderings_Obot__class_Obot(tc_fun(_u10228, tc_HOL_Obool)))) | ( _u10229 = _u10230) )).
% 20.36/20.55 cnf(fact_atLeastAtMost__singleton__iff-2, axiom, ( ~class_Orderings_Oorder(_u10228) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u10228, _u10229, _u10230) != hAPP(hAPP(c_Set_Oinsert(_u10228), _u10231), c_Orderings_Obot__class_Obot(tc_fun(_u10228, tc_HOL_Obool)))) | ( _u10230 = _u10231) )).
% 20.36/20.55 cnf(fact_atLeastAtMost__singleton__iff-3, axiom, ( ~class_Orderings_Oorder(_u10228) | ( _u10229 != _u10230) | ( _u10230 != _u10231) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u10228, _u10229, _u10230) = hAPP(hAPP(c_Set_Oinsert(_u10228), _u10231), c_Orderings_Obot__class_Obot(tc_fun(_u10228, tc_HOL_Obool)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_atLeastAtMost__singleton_H ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_atLeastAtMost__singleton_H-1, axiom, ( ~class_Orderings_Oorder(_u10232) | ( _u10233 != _u10234) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u10232, _u10233, _u10234) = hAPP(hAPP(c_Set_Oinsert(_u10232), _u10233), c_Orderings_Obot__class_Obot(tc_fun(_u10232, tc_HOL_Obool)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_vimage__Union ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_vimage__Union-1, axiom, ( ( hAPP(c_Set_Ovimage(_u10235, _u10236, _u10237), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10236, tc_HOL_Obool), _u10238)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u10236, tc_HOL_Obool), tc_fun(_u10235, tc_HOL_Obool)), _u10238), c_Set_Ovimage(_u10235, _u10236, _u10237))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_setsum__shift__bounds__cl__Suc__ivl ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_setsum__shift__bounds__cl__Suc__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10239) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10239), _u10240), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10241), hAPP(c_Nat_OSuc, _u10242))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10239), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10239, tc_Nat_Onat), _u10240), c_Nat_OSuc)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10241, _u10242))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_setsum__shift__bounds__cl__nat__ivl ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_setsum__shift__bounds__cl__nat__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10243) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10243), _u10244), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10245), _u10246), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10247), _u10246))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10243), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10243, tc_Nat_Onat), _u10244), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u10246))), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10245, _u10247))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_UN__lessThan__UNIV ( axiom ) converted to clauses:
% 20.36/20.55 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))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INF__subset ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INF__subset-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10248) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10249, tc_HOL_Obool)), _u10250), _u10251)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10248), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10249, _u10248), _u10251), _u10252)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10249, _u10248), _u10250), _u10252))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_SUP__subset ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_SUP__subset-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10253) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10254, tc_HOL_Obool)), _u10255), _u10256)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10253), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10254, _u10253), _u10255), _u10257)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10254, _u10253), _u10256), _u10257))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INT__simps_I2_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INT__simps_I2_J-1, axiom, ( ( _u10263 != c_Orderings_Obot__class_Obot(tc_fun(_u10265, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10265, tc_fun(_u10267, tc_HOL_Obool)), _u10263), hAPP(hAPP(c_COMBB(tc_fun(_u10267, tc_HOL_Obool), tc_fun(_u10267, tc_HOL_Obool), _u10265), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10267, tc_HOL_Obool)), _u10269)), _u10271)) = c_Orderings_Otop__class_Otop(tc_fun(_u10267, tc_HOL_Obool))) )).
% 20.36/20.55 cnf(fact_INT__simps_I2_J-2, axiom, ( ( _u10264 = c_Orderings_Obot__class_Obot(tc_fun(_u10266, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10266, tc_fun(_u10268, tc_HOL_Obool)), _u10264), hAPP(hAPP(c_COMBB(tc_fun(_u10268, tc_HOL_Obool), tc_fun(_u10268, tc_HOL_Obool), _u10266), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10268, tc_HOL_Obool)), _u10270)), _u10272)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10268, tc_HOL_Obool)), _u10270), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10266, tc_fun(_u10268, tc_HOL_Obool)), _u10264), _u10272))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INT__simps_I1_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INT__simps_I1_J-1, axiom, ( ( _u10278 != c_Orderings_Obot__class_Obot(tc_fun(_u10280, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10280, tc_fun(_u10282, tc_HOL_Obool)), _u10278), hAPP(hAPP(c_COMBC(_u10280, tc_fun(_u10282, tc_HOL_Obool), tc_fun(_u10282, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10282, tc_HOL_Obool), tc_fun(tc_fun(_u10282, tc_HOL_Obool), tc_fun(_u10282, tc_HOL_Obool)), _u10280), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10282, tc_HOL_Obool))), _u10284)), _u10286)) = c_Orderings_Otop__class_Otop(tc_fun(_u10282, tc_HOL_Obool))) )).
% 20.36/20.55 cnf(fact_INT__simps_I1_J-2, axiom, ( ( _u10279 = c_Orderings_Obot__class_Obot(tc_fun(_u10281, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10281, tc_fun(_u10283, tc_HOL_Obool)), _u10279), hAPP(hAPP(c_COMBC(_u10281, tc_fun(_u10283, tc_HOL_Obool), tc_fun(_u10283, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10283, tc_HOL_Obool), tc_fun(tc_fun(_u10283, tc_HOL_Obool), tc_fun(_u10283, tc_HOL_Obool)), _u10281), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10283, tc_HOL_Obool))), _u10285)), _u10287)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10283, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10281, tc_fun(_u10283, tc_HOL_Obool)), _u10279), _u10285)), _u10287)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INT__simps_I3_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INT__simps_I3_J-1, axiom, ( ( _u10293 != c_Orderings_Obot__class_Obot(tc_fun(_u10295, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10295, tc_fun(_u10297, tc_HOL_Obool)), _u10293), hAPP(hAPP(c_COMBC(_u10295, tc_fun(_u10297, tc_HOL_Obool), tc_fun(_u10297, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10297, tc_HOL_Obool), tc_fun(tc_fun(_u10297, tc_HOL_Obool), tc_fun(_u10297, tc_HOL_Obool)), _u10295), c_Groups_Ominus__class_Ominus(tc_fun(_u10297, tc_HOL_Obool))), _u10299)), _u10301)) = c_Orderings_Otop__class_Otop(tc_fun(_u10297, tc_HOL_Obool))) )).
% 20.36/20.55 cnf(fact_INT__simps_I3_J-2, axiom, ( ( _u10294 = c_Orderings_Obot__class_Obot(tc_fun(_u10296, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10296, tc_fun(_u10298, tc_HOL_Obool)), _u10294), hAPP(hAPP(c_COMBC(_u10296, tc_fun(_u10298, tc_HOL_Obool), tc_fun(_u10298, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10298, tc_HOL_Obool), tc_fun(tc_fun(_u10298, tc_HOL_Obool), tc_fun(_u10298, tc_HOL_Obool)), _u10296), c_Groups_Ominus__class_Ominus(tc_fun(_u10298, tc_HOL_Obool))), _u10300)), _u10302)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10298, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10296, tc_fun(_u10298, tc_HOL_Obool)), _u10294), _u10300)), _u10302)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INT__extend__simps_I3_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INT__extend__simps_I3_J-1, axiom, ( ( _u10308 != c_Orderings_Obot__class_Obot(tc_fun(_u10310, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10312, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10310, tc_fun(_u10312, tc_HOL_Obool)), _u10308), _u10314)), _u10316) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10312, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u10312, tc_HOL_Obool))), _u10316)) )).
% 20.36/20.55 cnf(fact_INT__extend__simps_I3_J-2, axiom, ( ( _u10309 = c_Orderings_Obot__class_Obot(tc_fun(_u10311, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10313, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10311, tc_fun(_u10313, tc_HOL_Obool)), _u10309), _u10315)), _u10317) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10311, tc_fun(_u10313, tc_HOL_Obool)), _u10309), hAPP(hAPP(c_COMBC(_u10311, tc_fun(_u10313, tc_HOL_Obool), tc_fun(_u10313, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10313, tc_HOL_Obool), tc_fun(tc_fun(_u10313, tc_HOL_Obool), tc_fun(_u10313, tc_HOL_Obool)), _u10311), c_Groups_Ominus__class_Ominus(tc_fun(_u10313, tc_HOL_Obool))), _u10315)), _u10317))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Image__eq__UN ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Image__eq__UN-1, axiom, ( ( hAPP(c_Relation_OImage(_u10318, _u10319, _u10320), _u10321) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10318, tc_fun(_u10319, tc_HOL_Obool)), _u10321), hAPP(hAPP(c_COMBB(tc_fun(_u10318, tc_HOL_Obool), tc_fun(_u10319, tc_HOL_Obool), _u10318), c_Relation_OImage(_u10318, _u10319, _u10320)), hAPP(hAPP(c_COMBC(_u10318, tc_fun(_u10318, tc_HOL_Obool), tc_fun(_u10318, tc_HOL_Obool)), c_Set_Oinsert(_u10318)), c_Orderings_Obot__class_Obot(tc_fun(_u10318, tc_HOL_Obool)))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_vimage__eq__UN ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_vimage__eq__UN-1, axiom, ( ( hAPP(c_Set_Ovimage(_u10322, _u10323, _u10324), _u10325) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10323, tc_fun(_u10322, tc_HOL_Obool)), _u10325), hAPP(hAPP(c_COMBB(tc_fun(_u10323, tc_HOL_Obool), tc_fun(_u10322, tc_HOL_Obool), _u10323), c_Set_Ovimage(_u10322, _u10323, _u10324)), hAPP(hAPP(c_COMBC(_u10323, tc_fun(_u10323, tc_HOL_Obool), tc_fun(_u10323, tc_HOL_Obool)), c_Set_Oinsert(_u10323)), c_Orderings_Obot__class_Obot(tc_fun(_u10323, tc_HOL_Obool)))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_card__atLeastAtMost ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_card__atLeastAtMost-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10326, _u10327)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10327)), _u10326)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_atLeastAtMostSuc__conv ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_atLeastAtMostSuc__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10328), hAPP(c_Nat_OSuc, _u10329))) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10328, hAPP(c_Nat_OSuc, _u10329)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10329)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10328, _u10329))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INF__leI ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INF__leI-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10330) | ~hBOOL(hAPP(hAPP(c_member(_u10331), _u10332), _u10333)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10330), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10331, _u10330), _u10333), _u10334)), hAPP(_u10334, _u10332))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_le__SUPI ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_le__SUPI-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10335) | ~hBOOL(hAPP(hAPP(c_member(_u10336), _u10337), _u10338)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10335), hAPP(_u10339, _u10337)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10336, _u10335), _u10338), _u10339))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_setsum__shift__lb__Suc0__0 ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_setsum__shift__lb__Suc0__0-1, axiom, ( ( hAPP(_u10340, 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), _u10340), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10341)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u10340), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u10341))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_Int__atLeastAtMost ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_Int__atLeastAtMost-1, axiom, ( ~class_Orderings_Olinorder(_u10342) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10342, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10342, _u10343, _u10344)), c_SetInterval_Oord__class_OatLeastAtMost(_u10342, _u10345, _u10346)) = c_SetInterval_Oord__class_OatLeastAtMost(_u10342, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10342), _u10343), _u10345), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10342), _u10344), _u10346))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_atLeastatMost__psubset__iff ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_atLeastatMost__psubset__iff-1, axiom, ( ~class_Orderings_Oorder(_u10347) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10347, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10347, _u10348, _u10349)), c_SetInterval_Oord__class_OatLeastAtMost(_u10347, _u10350, _u10351))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10347), _u10348), _u10349)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10347), _u10350), _u10348)) )).
% 20.36/20.55 cnf(fact_atLeastatMost__psubset__iff-2, axiom, ( ~class_Orderings_Oorder(_u10347) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10347, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10347, _u10348, _u10349)), c_SetInterval_Oord__class_OatLeastAtMost(_u10347, _u10350, _u10351))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10347), _u10348), _u10349)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10347), _u10349), _u10351)) )).
% 20.36/20.55 cnf(fact_atLeastatMost__psubset__iff-3, axiom, ( ~class_Orderings_Oorder(_u10347) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10347, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10347, _u10348, _u10349)), c_SetInterval_Oord__class_OatLeastAtMost(_u10347, _u10350, _u10351))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10347), _u10348), _u10349)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10347), _u10350), _u10348)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10347), _u10349), _u10351)) )).
% 20.36/20.55 cnf(fact_atLeastatMost__psubset__iff-4, axiom, ( ~class_Orderings_Oorder(_u10347) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10347, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10347, _u10348, _u10349)), c_SetInterval_Oord__class_OatLeastAtMost(_u10347, _u10350, _u10351))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10347), _u10350), _u10351)) )).
% 20.36/20.55 cnf(fact_atLeastatMost__psubset__iff-5, axiom, ( ~class_Orderings_Oorder(_u10347) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10347, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10347, _u10348, _u10349)), c_SetInterval_Oord__class_OatLeastAtMost(_u10347, _u10350, _u10351))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10347), _u10350), _u10351)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10347), _u10348), _u10349)) )).
% 20.36/20.55 cnf(fact_atLeastatMost__psubset__iff-6, axiom, ( ~class_Orderings_Oorder(_u10347) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10347, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10347, _u10348, _u10349)), c_SetInterval_Oord__class_OatLeastAtMost(_u10347, _u10350, _u10351))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10347), _u10350), _u10351)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10347), _u10350), _u10348)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10347), _u10349), _u10351)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10347), _u10350), _u10348)) )).
% 20.36/20.55 cnf(fact_atLeastatMost__psubset__iff-7, axiom, ( ~class_Orderings_Oorder(_u10347) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10347, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10347, _u10348, _u10349)), c_SetInterval_Oord__class_OatLeastAtMost(_u10347, _u10350, _u10351))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10347), _u10350), _u10351)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10347), _u10350), _u10348)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10347), _u10349), _u10351)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10347), _u10349), _u10351)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_ivl__disj__int_I4_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_ivl__disj__int_I4_J-1, axiom, ( ~class_Orderings_Oorder(_u10352) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10352, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u10352), _u10353)), c_SetInterval_Oord__class_OatLeastAtMost(_u10352, _u10353, _u10354)) = c_Orderings_Obot__class_Obot(tc_fun(_u10352, tc_HOL_Obool))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_setsum__head__Suc ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_setsum__head__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10355) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10356), _u10357)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10355), _u10358), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10356, _u10357)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10355), hAPP(_u10358, _u10356)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10355), _u10358), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10356), _u10357)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_setsum__cl__ivl__Suc ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_setsum__cl__ivl__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10359) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10360)), _u10361)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10359), _u10362), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10361, hAPP(c_Nat_OSuc, _u10360))) = c_Groups_Ozero__class_Ozero(_u10359)) )).
% 20.36/20.55 cnf(fact_setsum__cl__ivl__Suc-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10359) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10360)), _u10361)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10359), _u10362), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10361, hAPP(c_Nat_OSuc, _u10360))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10359), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10359), _u10362), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10361, _u10360))), hAPP(_u10362, hAPP(c_Nat_OSuc, _u10360)))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_sup__SUPR__fold__sup ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_sup__SUPR__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10363) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10364), _u10365)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10363), _u10366), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10364, _u10363), _u10365), _u10367)) = hAPP(hAPP(c_Finite__Set_Ofold(_u10364, _u10363, hAPP(hAPP(c_COMBB(_u10363, tc_fun(_u10363, _u10363), _u10364), c_Lattices_Osemilattice__sup__class_Osup(_u10363)), _u10367)), _u10366), _u10365)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_inf__INFI__fold__inf ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_inf__INFI__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10368) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10369), _u10370)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u10368), _u10371), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10369, _u10368), _u10370), _u10372)) = hAPP(hAPP(c_Finite__Set_Ofold(_u10369, _u10368, hAPP(hAPP(c_COMBB(_u10368, tc_fun(_u10368, _u10368), _u10369), c_Lattices_Osemilattice__inf__class_Oinf(_u10368)), _u10372)), _u10371), _u10370)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_setsum__ub__add__nat ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_setsum__ub__add__nat-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10373) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10374), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10375), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10373), _u10376), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10374, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10375), _u10377))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10373), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10373), _u10376), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10374, _u10375))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10373), _u10376), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10375), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10375), _u10377))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_minus__int__def ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_minus__int__def-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10378) = 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, _u10378)), 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)))))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_ex__nat__less ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_ex__nat__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10379), _u10385)) | ~hBOOL(hAPP(_u10387, _u10379)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem201(_u10387, _u10385)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u10385))) )).
% 20.36/20.55 cnf(fact_ex__nat__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10379), _u10385)) | ~hBOOL(hAPP(_u10387, _u10379)) | hBOOL(hAPP(_u10387, skolem201(_u10387, _u10385))) )).
% 20.36/20.55 cnf(fact_ex__nat__less-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10381), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u10386))) | ~hBOOL(hAPP(_u10388, _u10381)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem202(_u10388, _u10386)), _u10386)) )).
% 20.36/20.55 cnf(fact_ex__nat__less-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10381), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u10386))) | ~hBOOL(hAPP(_u10388, _u10381)) | hBOOL(hAPP(_u10388, skolem202(_u10388, _u10386))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_all__nat__less ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_all__nat__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10390), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u10395))) | hBOOL(hAPP(_u10397, _u10390)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem203(_u10397, _u10395)), _u10395)) )).
% 20.36/20.55 cnf(fact_all__nat__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10390), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u10395))) | hBOOL(hAPP(_u10397, _u10390)) | ~hBOOL(hAPP(_u10397, skolem203(_u10397, _u10395))) )).
% 20.36/20.55 cnf(fact_all__nat__less-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10392), _u10396)) | hBOOL(hAPP(_u10398, _u10392)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem204(_u10398, _u10396)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u10396))) )).
% 20.36/20.55 cnf(fact_all__nat__less-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10392), _u10396)) | hBOOL(hAPP(_u10398, _u10392)) | ~hBOOL(hAPP(_u10398, skolem204(_u10398, _u10396))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_nat__def ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_nat__def-1, axiom, ( ( hAPP(c_Int_Onat, _u10399) = 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, _u10399)), 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))))))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_SUP2__iff ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_SUP2__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10409, tc_fun(_u10411, tc_fun(_u10413, tc_HOL_Obool))), _u10415), _u10417), _u10419), _u10421)) | hBOOL(hAPP(hAPP(c_member(_u10409), skolem205(_u10421, _u10419, _u10417, _u10415, _u10413, _u10411, _u10409)), _u10415)) )).
% 20.36/20.55 cnf(fact_SUP2__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10409, tc_fun(_u10411, tc_fun(_u10413, tc_HOL_Obool))), _u10415), _u10417), _u10419), _u10421)) | hBOOL(hAPP(hAPP(hAPP(_u10417, skolem205(_u10421, _u10419, _u10417, _u10415, _u10413, _u10411, _u10409)), _u10419), _u10421)) )).
% 20.36/20.55 cnf(fact_SUP2__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10410), _u10401), _u10416)) | ~hBOOL(hAPP(hAPP(hAPP(_u10418, _u10401), _u10420), _u10422)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10410, tc_fun(_u10412, tc_fun(_u10414, tc_HOL_Obool))), _u10416), _u10418), _u10420), _u10422)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INF2__iff ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INF2__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10432, tc_fun(_u10434, tc_fun(_u10436, tc_HOL_Obool))), _u10438), _u10440), _u10442), _u10444)) | ~hBOOL(hAPP(hAPP(c_member(_u10432), _u10423), _u10438)) | hBOOL(hAPP(hAPP(hAPP(_u10440, _u10423), _u10442), _u10444)) )).
% 20.36/20.55 cnf(fact_INF2__iff-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10433, tc_fun(_u10435, tc_fun(_u10437, tc_HOL_Obool))), _u10439), _u10441), _u10443), _u10445)) | hBOOL(hAPP(hAPP(c_member(_u10433), skolem206(_u10445, _u10443, _u10441, _u10439, _u10437, _u10435, _u10433)), _u10439)) )).
% 20.36/20.55 cnf(fact_INF2__iff-3, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10433, tc_fun(_u10435, tc_fun(_u10437, tc_HOL_Obool))), _u10439), _u10441), _u10443), _u10445)) | ~hBOOL(hAPP(hAPP(hAPP(_u10441, skolem206(_u10445, _u10443, _u10441, _u10439, _u10437, _u10435, _u10433)), _u10443), _u10445)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_SUP1__iff ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_SUP1__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10453, tc_fun(_u10455, tc_HOL_Obool)), _u10457), _u10459), _u10461)) | hBOOL(hAPP(hAPP(c_member(_u10453), skolem207(_u10461, _u10459, _u10457, _u10455, _u10453)), _u10457)) )).
% 20.36/20.55 cnf(fact_SUP1__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10453, tc_fun(_u10455, tc_HOL_Obool)), _u10457), _u10459), _u10461)) | hBOOL(hAPP(hAPP(_u10459, skolem207(_u10461, _u10459, _u10457, _u10455, _u10453)), _u10461)) )).
% 20.36/20.55 cnf(fact_SUP1__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10454), _u10447), _u10458)) | ~hBOOL(hAPP(hAPP(_u10460, _u10447), _u10462)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10454, tc_fun(_u10456, tc_HOL_Obool)), _u10458), _u10460), _u10462)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INF1__iff ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INF1__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10470, tc_fun(_u10472, tc_HOL_Obool)), _u10474), _u10476), _u10478)) | ~hBOOL(hAPP(hAPP(c_member(_u10470), _u10463), _u10474)) | hBOOL(hAPP(hAPP(_u10476, _u10463), _u10478)) )).
% 20.36/20.55 cnf(fact_INF1__iff-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10471, tc_fun(_u10473, tc_HOL_Obool)), _u10475), _u10477), _u10479)) | hBOOL(hAPP(hAPP(c_member(_u10471), skolem208(_u10479, _u10477, _u10475, _u10473, _u10471)), _u10475)) )).
% 20.36/20.55 cnf(fact_INF1__iff-3, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10471, tc_fun(_u10473, tc_HOL_Obool)), _u10475), _u10477), _u10479)) | ~hBOOL(hAPP(hAPP(_u10477, skolem208(_u10479, _u10477, _u10475, _u10473, _u10471)), _u10479)) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_UN__UN__flatten ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_UN__UN__flatten-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10480, tc_fun(_u10481, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10482, tc_fun(_u10480, tc_HOL_Obool)), _u10483), _u10484)), _u10485) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10482, tc_fun(_u10481, tc_HOL_Obool)), _u10483), hAPP(hAPP(c_COMBC(_u10482, tc_fun(_u10480, tc_fun(_u10481, tc_HOL_Obool)), tc_fun(_u10481, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10480, tc_HOL_Obool), tc_fun(tc_fun(_u10480, tc_fun(_u10481, tc_HOL_Obool)), tc_fun(_u10481, tc_HOL_Obool)), _u10482), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10480, tc_fun(_u10481, tc_HOL_Obool))), _u10484)), _u10485))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_UN__simps_I9_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_UN__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10486, tc_fun(_u10487, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10488, tc_fun(_u10486, tc_HOL_Obool)), _u10489), _u10490)), _u10491) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10488, tc_fun(_u10487, tc_HOL_Obool)), _u10489), hAPP(hAPP(c_COMBC(_u10488, tc_fun(_u10486, tc_fun(_u10487, tc_HOL_Obool)), tc_fun(_u10487, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10486, tc_HOL_Obool), tc_fun(tc_fun(_u10486, tc_fun(_u10487, tc_HOL_Obool)), tc_fun(_u10487, tc_HOL_Obool)), _u10488), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10486, tc_fun(_u10487, tc_HOL_Obool))), _u10490)), _u10491))) )).
% 20.36/20.55
% 20.36/20.55 % Formula: fact_INT__simps_I9_J ( axiom ) converted to clauses:
% 20.36/20.55 cnf(fact_INT__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10492, tc_fun(_u10493, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10494, tc_fun(_u10492, tc_HOL_Obool)), _u10495), _u10496)), _u10497) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10494, tc_fun(_u10493, tc_HOL_Obool)), _u10495), hAPP(hAPP(c_COMBC(_u10494, tc_fun(_u10492, tc_fun(_u10493, tc_HOL_Obool)), tc_fun(_u10493, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10492, tc_HOL_Obool), tc_fun(tc_fun(_u10492, tc_fun(_u10493, tc_HOL_Obool)), tc_fun(_u10493, tc_HOL_Obool)), _u10494), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10492, tc_fun(_u10493, tc_HOL_Obool))), _u10496)), _u10497))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_UN__extend__simps_I9_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_UN__extend__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10498, tc_fun(_u10499, tc_HOL_Obool)), _u10500), hAPP(hAPP(c_COMBC(_u10498, tc_fun(_u10501, tc_fun(_u10499, tc_HOL_Obool)), tc_fun(_u10499, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10501, tc_HOL_Obool), tc_fun(tc_fun(_u10501, tc_fun(_u10499, tc_HOL_Obool)), tc_fun(_u10499, tc_HOL_Obool)), _u10498), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10501, tc_fun(_u10499, tc_HOL_Obool))), _u10502)), _u10503)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10501, tc_fun(_u10499, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10498, tc_fun(_u10501, tc_HOL_Obool)), _u10500), _u10502)), _u10503)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_INT__extend__simps_I9_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_INT__extend__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10504, tc_fun(_u10505, tc_HOL_Obool)), _u10506), hAPP(hAPP(c_COMBC(_u10504, tc_fun(_u10507, tc_fun(_u10505, tc_HOL_Obool)), tc_fun(_u10505, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10507, tc_HOL_Obool), tc_fun(tc_fun(_u10507, tc_fun(_u10505, tc_HOL_Obool)), tc_fun(_u10505, tc_HOL_Obool)), _u10504), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10507, tc_fun(_u10505, tc_HOL_Obool))), _u10508)), _u10509)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10507, tc_fun(_u10505, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10504, tc_fun(_u10507, tc_HOL_Obool)), _u10506), _u10508)), _u10509)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_ball__UN ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_ball__UN-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10523), _u10512), _u10525)) | ~hBOOL(hAPP(hAPP(c_member(_u10521), _u10511), hAPP(_u10527, _u10512))) | hBOOL(hAPP(_u10529, _u10511)) | hBOOL(hAPP(hAPP(c_member(_u10521), skolem209(_u10529, _u10527, _u10525, _u10523, _u10521)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10523, tc_fun(_u10521, tc_HOL_Obool)), _u10525), _u10527))) )).
% 20.36/20.56 cnf(fact_ball__UN-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10523), _u10512), _u10525)) | ~hBOOL(hAPP(hAPP(c_member(_u10521), _u10511), hAPP(_u10527, _u10512))) | hBOOL(hAPP(_u10529, _u10511)) | ~hBOOL(hAPP(_u10529, skolem209(_u10529, _u10527, _u10525, _u10523, _u10521))) )).
% 20.36/20.56 cnf(fact_ball__UN-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10522), _u10515), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10524, tc_fun(_u10522, tc_HOL_Obool)), _u10526), _u10528))) | hBOOL(hAPP(_u10530, _u10515)) | hBOOL(hAPP(hAPP(c_member(_u10524), skolem210(_u10530, _u10528, _u10526, _u10524, _u10522)), _u10526)) )).
% 20.36/20.56 cnf(fact_ball__UN-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10522), _u10515), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10524, tc_fun(_u10522, tc_HOL_Obool)), _u10526), _u10528))) | hBOOL(hAPP(_u10530, _u10515)) | hBOOL(hAPP(hAPP(c_member(_u10522), skolem211(_u10530, _u10528, _u10526, _u10524, _u10522)), hAPP(_u10528, skolem210(_u10530, _u10528, _u10526, _u10524, _u10522)))) )).
% 20.36/20.56 cnf(fact_ball__UN-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10522), _u10515), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10524, tc_fun(_u10522, tc_HOL_Obool)), _u10526), _u10528))) | hBOOL(hAPP(_u10530, _u10515)) | ~hBOOL(hAPP(_u10530, skolem211(_u10530, _u10528, _u10526, _u10524, _u10522))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Rep__Integ__inject ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Rep__Integ__inject-1, axiom, ( ( hAPP(c_Int_ORep__Integ, _u10533) != hAPP(c_Int_ORep__Integ, _u10535)) | ( _u10533 = _u10535) )).
% 20.36/20.56 cnf(fact_Rep__Integ__inject-2, axiom, ( ( _u10534 != _u10536) | ( hAPP(c_Int_ORep__Integ, _u10534) = hAPP(c_Int_ORep__Integ, _u10536)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Rep__Integ__inverse ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Rep__Integ__inverse-1, axiom, ( ( hAPP(c_Int_OAbs__Integ, hAPP(c_Int_ORep__Integ, _u10537)) = _u10537) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_simp__from__to ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_simp__from__to-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10540), _u10542)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u10542, _u10540) = c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool))) )).
% 20.36/20.56 cnf(fact_simp__from__to-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10541), _u10543)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u10543, _u10541) = hAPP(hAPP(c_Set_Oinsert(tc_Int_Oint), _u10543), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10543), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u10541))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_card__atLeastAtMost__int ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_card__atLeastAtMost__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u10544, _u10545)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10545), _u10544)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_aset_I6_J ( axiom ) converted to clauses:
% 20.36/20.56 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)), _u10549)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10550), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10551)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10548), _u10550)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10548), _u10549)), _u10550)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem212(_u10551, _u10550, _u10549, _u10548)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10549))) )).
% 20.36/20.56 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)), _u10549)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10550), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10551)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10548), _u10550)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10548), _u10549)), _u10550)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem213(_u10551, _u10550, _u10549, _u10548)), _u10551)) )).
% 20.36/20.56 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)), _u10549)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10550), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10551)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10548), _u10550)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10548), _u10549)), _u10550)) | ( _u10548 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem213(_u10551, _u10550, _u10549, _u10548)), skolem212(_u10551, _u10550, _u10549, _u10548))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_bset_I8_J ( axiom ) converted to clauses:
% 20.36/20.56 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)), _u10555)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10556), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10557)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10556), _u10554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10556), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10554), _u10555))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem214(_u10557, _u10556, _u10555, _u10554)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10555))) )).
% 20.36/20.56 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)), _u10555)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10556), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10557)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10556), _u10554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10556), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10554), _u10555))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem215(_u10557, _u10556, _u10555, _u10554)), _u10557)) )).
% 20.36/20.56 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)), _u10555)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10556), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10557)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10556), _u10554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10556), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10554), _u10555))) | ( _u10554 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem215(_u10557, _u10556, _u10555, _u10554)), skolem214(_u10557, _u10556, _u10555, _u10554))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_aset_I8_J ( axiom ) converted to clauses:
% 20.36/20.56 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)), _u10561)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10563), _u10560)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10563), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10560), _u10561))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem216(_u10563, _u10562, _u10561, _u10560)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10561))) )).
% 20.36/20.56 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)), _u10561)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10563), _u10560)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10563), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10560), _u10561))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem217(_u10563, _u10562, _u10561, _u10560)), _u10562)) )).
% 20.36/20.56 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)), _u10561)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10563), _u10560)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10563), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10560), _u10561))) | ( _u10560 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem217(_u10563, _u10562, _u10561, _u10560)), skolem216(_u10563, _u10562, _u10561, _u10560))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_finite__atLeastAtMost__int ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_finite__atLeastAtMost__int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u10564, _u10565))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_aset_I4_J ( axiom ) converted to clauses:
% 20.36/20.56 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)), _u10569)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10570), _u10571)) | ( _u10568 = _u10570) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10568), _u10569) != _u10570) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem218(_u10571, _u10570, _u10569, _u10568)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10569))) )).
% 20.36/20.56 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)), _u10569)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10570), _u10571)) | ( _u10568 = _u10570) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10568), _u10569) != _u10570) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem219(_u10571, _u10570, _u10569, _u10568)), _u10571)) )).
% 20.36/20.56 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)), _u10569)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10570), _u10571)) | ( _u10568 = _u10570) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10568), _u10569) != _u10570) | ( _u10568 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem219(_u10571, _u10570, _u10569, _u10568)), skolem218(_u10571, _u10570, _u10569, _u10568))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_bset_I4_J ( axiom ) converted to clauses:
% 20.36/20.56 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)), _u10575)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10576), _u10577)) | ( _u10574 = _u10576) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10574), _u10575) != _u10576) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem220(_u10577, _u10576, _u10575, _u10574)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10575))) )).
% 20.36/20.56 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)), _u10575)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10576), _u10577)) | ( _u10574 = _u10576) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10574), _u10575) != _u10576) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem221(_u10577, _u10576, _u10575, _u10574)), _u10577)) )).
% 20.36/20.56 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)), _u10575)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10576), _u10577)) | ( _u10574 = _u10576) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10574), _u10575) != _u10576) | ( _u10574 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem221(_u10577, _u10576, _u10575, _u10574)), skolem220(_u10577, _u10576, _u10575, _u10574))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_bset_I7_J ( axiom ) converted to clauses:
% 20.36/20.56 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)), _u10581)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10582), _u10583)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10582), _u10580)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10582), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10580), _u10581))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem222(_u10583, _u10582, _u10581, _u10580)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10581))) )).
% 20.36/20.56 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)), _u10581)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10582), _u10583)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10582), _u10580)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10582), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10580), _u10581))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem223(_u10583, _u10582, _u10581, _u10580)), _u10583)) )).
% 20.36/20.56 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)), _u10581)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10582), _u10583)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10582), _u10580)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10582), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10580), _u10581))) | ( _u10580 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem223(_u10583, _u10582, _u10581, _u10580)), skolem222(_u10583, _u10582, _u10581, _u10580))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_infinite__UNIV__int ( axiom ) converted to clauses:
% 20.36/20.56 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)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_bset_I3_J ( axiom ) converted to clauses:
% 20.36/20.56 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)), _u10586)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10587), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10588)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10587), _u10586) = _u10587) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem224(_u10588, _u10587, _u10586)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10586))) )).
% 20.36/20.56 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)), _u10586)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10587), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10588)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10587), _u10586) = _u10587) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem225(_u10588, _u10587, _u10586)), _u10588)) )).
% 20.36/20.56 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)), _u10586)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10587), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10588)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10587), _u10586) = _u10587) | ( _u10587 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem225(_u10588, _u10587, _u10586)), skolem224(_u10588, _u10587, _u10586))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_aset_I3_J ( axiom ) converted to clauses:
% 20.36/20.56 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)), _u10591)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10592), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10593)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10592), _u10591) = _u10592) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem226(_u10593, _u10592, _u10591)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10591))) )).
% 20.36/20.56 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)), _u10591)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10592), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10593)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10592), _u10591) = _u10592) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem227(_u10593, _u10592, _u10591)), _u10593)) )).
% 20.36/20.56 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)), _u10591)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10592), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10593)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10592), _u10591) = _u10592) | ( _u10592 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem227(_u10593, _u10592, _u10591)), skolem226(_u10593, _u10592, _u10591))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_aset_I5_J ( axiom ) converted to clauses:
% 20.36/20.56 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)), _u10597)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10598), _u10599)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10596), _u10598)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10596), _u10597)), _u10598)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem228(_u10599, _u10598, _u10597, _u10596)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10597))) )).
% 20.36/20.56 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)), _u10597)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10598), _u10599)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10596), _u10598)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10596), _u10597)), _u10598)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem229(_u10599, _u10598, _u10597, _u10596)), _u10599)) )).
% 20.36/20.56 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)), _u10597)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10598), _u10599)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10596), _u10598)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10596), _u10597)), _u10598)) | ( _u10596 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem229(_u10599, _u10598, _u10597, _u10596)), skolem228(_u10599, _u10598, _u10597, _u10596))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_bset_I6_J ( axiom ) converted to clauses:
% 20.36/20.56 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)), _u10603)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10602), _u10605)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10602), _u10603)), _u10605)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem230(_u10605, _u10604, _u10603, _u10602)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10603))) )).
% 20.36/20.56 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)), _u10603)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10602), _u10605)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10602), _u10603)), _u10605)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem231(_u10605, _u10604, _u10603, _u10602)), _u10604)) )).
% 20.36/20.56 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)), _u10603)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10602), _u10605)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10602), _u10603)), _u10605)) | ( _u10602 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem231(_u10605, _u10604, _u10603, _u10602)), skolem230(_u10605, _u10604, _u10603, _u10602))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_periodic__finite__ex ( axiom ) converted to clauses:
% 20.36/20.56 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)), _u10612)) | ~hBOOL(hAPP(_u10613, _u10608)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem236(_u10613, _u10612)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10612))) | hBOOL(hAPP(_u10613, skolem232(_u10613, _u10612))) | ~hBOOL(hAPP(_u10613, skolem234(_u10613, _u10612))) )).
% 20.36/20.56 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)), _u10612)) | ~hBOOL(hAPP(_u10613, _u10608)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem236(_u10613, _u10612)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10612))) | hBOOL(hAPP(_u10613, skolem232(_u10613, _u10612))) | hBOOL(hAPP(_u10613, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem234(_u10613, _u10612)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem235(_u10613, _u10612)), _u10612)))) )).
% 20.36/20.56 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)), _u10612)) | ~hBOOL(hAPP(_u10613, _u10608)) | hBOOL(hAPP(_u10613, skolem236(_u10613, _u10612))) | hBOOL(hAPP(_u10613, skolem232(_u10613, _u10612))) | ~hBOOL(hAPP(_u10613, skolem234(_u10613, _u10612))) )).
% 20.36/20.56 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)), _u10612)) | ~hBOOL(hAPP(_u10613, _u10608)) | hBOOL(hAPP(_u10613, skolem236(_u10613, _u10612))) | hBOOL(hAPP(_u10613, skolem232(_u10613, _u10612))) | hBOOL(hAPP(_u10613, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem234(_u10613, _u10612)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem235(_u10613, _u10612)), _u10612)))) )).
% 20.36/20.56 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)), _u10612)) | ~hBOOL(hAPP(_u10613, _u10608)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem236(_u10613, _u10612)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10612))) | ~hBOOL(hAPP(_u10613, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem232(_u10613, _u10612)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem233(_u10613, _u10612)), _u10612)))) | ~hBOOL(hAPP(_u10613, skolem234(_u10613, _u10612))) )).
% 20.36/20.56 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)), _u10612)) | ~hBOOL(hAPP(_u10613, _u10608)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem236(_u10613, _u10612)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10612))) | ~hBOOL(hAPP(_u10613, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem232(_u10613, _u10612)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem233(_u10613, _u10612)), _u10612)))) | hBOOL(hAPP(_u10613, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem234(_u10613, _u10612)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem235(_u10613, _u10612)), _u10612)))) )).
% 20.36/20.56 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)), _u10612)) | ~hBOOL(hAPP(_u10613, _u10608)) | hBOOL(hAPP(_u10613, skolem236(_u10613, _u10612))) | ~hBOOL(hAPP(_u10613, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem232(_u10613, _u10612)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem233(_u10613, _u10612)), _u10612)))) | ~hBOOL(hAPP(_u10613, skolem234(_u10613, _u10612))) )).
% 20.36/20.56 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)), _u10612)) | ~hBOOL(hAPP(_u10613, _u10608)) | hBOOL(hAPP(_u10613, skolem236(_u10613, _u10612))) | ~hBOOL(hAPP(_u10613, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem232(_u10613, _u10612)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem233(_u10613, _u10612)), _u10612)))) | hBOOL(hAPP(_u10613, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem234(_u10613, _u10612)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem235(_u10613, _u10612)), _u10612)))) )).
% 20.36/20.56 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)), _u10612)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10610), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10612))) | ~hBOOL(hAPP(_u10613, _u10610)) | hBOOL(hAPP(_u10613, skolem237(_u10613, _u10612))) | hBOOL(hAPP(_u10613, skolem232(_u10613, _u10612))) | ~hBOOL(hAPP(_u10613, skolem234(_u10613, _u10612))) )).
% 20.36/20.56 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)), _u10612)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10610), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10612))) | ~hBOOL(hAPP(_u10613, _u10610)) | hBOOL(hAPP(_u10613, skolem237(_u10613, _u10612))) | hBOOL(hAPP(_u10613, skolem232(_u10613, _u10612))) | hBOOL(hAPP(_u10613, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem234(_u10613, _u10612)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem235(_u10613, _u10612)), _u10612)))) )).
% 20.36/20.56 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)), _u10612)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10610), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10612))) | ~hBOOL(hAPP(_u10613, _u10610)) | hBOOL(hAPP(_u10613, skolem237(_u10613, _u10612))) | ~hBOOL(hAPP(_u10613, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem232(_u10613, _u10612)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem233(_u10613, _u10612)), _u10612)))) | ~hBOOL(hAPP(_u10613, skolem234(_u10613, _u10612))) )).
% 20.36/20.56 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)), _u10612)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10610), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10612))) | ~hBOOL(hAPP(_u10613, _u10610)) | hBOOL(hAPP(_u10613, skolem237(_u10613, _u10612))) | ~hBOOL(hAPP(_u10613, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem232(_u10613, _u10612)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem233(_u10613, _u10612)), _u10612)))) | hBOOL(hAPP(_u10613, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem234(_u10613, _u10612)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem235(_u10613, _u10612)), _u10612)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_aset_I7_J ( axiom ) converted to clauses:
% 20.36/20.56 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)), _u10621)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10623), _u10620)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10623), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10620), _u10621))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem238(_u10623, _u10622, _u10621, _u10620)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10621))) )).
% 20.36/20.56 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)), _u10621)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10623), _u10620)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10623), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10620), _u10621))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem239(_u10623, _u10622, _u10621, _u10620)), _u10622)) )).
% 20.36/20.56 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)), _u10621)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10623), _u10620)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10623), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10620), _u10621))) | ( _u10620 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem239(_u10623, _u10622, _u10621, _u10620)), skolem238(_u10623, _u10622, _u10621, _u10620))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_bset_I5_J ( axiom ) converted to clauses:
% 20.36/20.56 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)), _u10627)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10626), _u10629)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10626), _u10627)), _u10629)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem240(_u10629, _u10628, _u10627, _u10626)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10627))) )).
% 20.36/20.56 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)), _u10627)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10626), _u10629)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10626), _u10627)), _u10629)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem241(_u10629, _u10628, _u10627, _u10626)), _u10628)) )).
% 20.36/20.56 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)), _u10627)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10626), _u10629)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10626), _u10627)), _u10629)) | ( _u10626 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem241(_u10629, _u10628, _u10627, _u10626)), skolem240(_u10629, _u10628, _u10627, _u10626))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_card__greaterThanLessThan__int ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_card__greaterThanLessThan__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u10630, _u10631)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10631), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10630), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Id__on__def ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Id__on__def-1, axiom, ( ( c_Relation_OId__on(_u10632, _u10633) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10632, tc_fun(tc_prod(_u10632, _u10632), tc_HOL_Obool)), _u10633), hAPP(hAPP(c_COMBC(_u10632, tc_fun(tc_prod(_u10632, _u10632), tc_HOL_Obool), tc_fun(tc_prod(_u10632, _u10632), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_prod(_u10632, _u10632), tc_fun(tc_fun(tc_prod(_u10632, _u10632), tc_HOL_Obool), tc_fun(tc_prod(_u10632, _u10632), tc_HOL_Obool)), _u10632), c_Set_Oinsert(tc_prod(_u10632, _u10632))), hAPP(hAPP(c_COMBS(_u10632, _u10632, tc_prod(_u10632, _u10632)), c_Product__Type_OPair(_u10632, _u10632)), c_COMBI(_u10632)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u10632, _u10632), tc_HOL_Obool))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_finite__greaterThanLessThan__int ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_finite__greaterThanLessThan__int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u10634, _u10635))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Id__on__def_H ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Id__on__def_H-1, axiom, ( ( c_Relation_OId__on(_u10636, _u10637) = hAPP(c_Product__Type_Oprod_Oprod__case(_u10636, _u10636, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u10636, tc_HOL_Obool, tc_fun(_u10636, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10636, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_HOL_Obool, tc_fun(_u10636, tc_HOL_Obool)), _u10636), c_COMBC(_u10636, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10636, tc_HOL_Obool), tc_fun(_u10636, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u10636), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u10636), c_fconj)), c_fequal))), _u10637))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_greaterThanLessThan__empty ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_greaterThanLessThan__empty-1, axiom, ( ~class_Orderings_Oorder(_u10638) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10638), _u10639), _u10640)) | ( c_SetInterval_Oord__class_OgreaterThanLessThan(_u10638, _u10640, _u10639) = c_Orderings_Obot__class_Obot(tc_fun(_u10638, tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Id__on__empty ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Id__on__empty-1, axiom, ( ( c_Relation_OId__on(_u10641, c_Orderings_Obot__class_Obot(tc_fun(_u10641, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u10641, _u10641), tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Image__Id__on ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Image__Id__on-1, axiom, ( ( hAPP(c_Relation_OImage(_u10642, _u10642, c_Relation_OId__on(_u10642, _u10643)), _u10644) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10642, tc_HOL_Obool)), _u10643), _u10644)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_ivl__disj__int_I13_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_ivl__disj__int_I13_J-1, axiom, ( ~class_Orderings_Oorder(_u10645) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10645, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10645, _u10646, _u10647)), c_SetInterval_Oord__class_OatLeastAtMost(_u10645, _u10647, _u10648)) = c_Orderings_Obot__class_Obot(tc_fun(_u10645, tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_ivl__disj__int_I12_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_ivl__disj__int_I12_J-1, axiom, ( ~class_Orderings_Oorder(_u10649) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10649, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10649, _u10650, _u10651)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10649, _u10651, _u10652)) = c_Orderings_Obot__class_Obot(tc_fun(_u10649, tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Int__greaterThanLessThan ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Int__greaterThanLessThan-1, axiom, ( ~class_Orderings_Olinorder(_u10653) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10653, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10653, _u10654, _u10655)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10653, _u10656, _u10657)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u10653, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10653), _u10654), _u10656), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10653), _u10655), _u10657))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Id__on__iff ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Id__on__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10662, _u10662)), hAPP(hAPP(c_Product__Type_OPair(_u10662, _u10662), _u10664), _u10666)), c_Relation_OId__on(_u10662, _u10668))) | ( _u10664 = _u10666) )).
% 20.36/20.56 cnf(fact_Id__on__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10662, _u10662)), hAPP(hAPP(c_Product__Type_OPair(_u10662, _u10662), _u10664), _u10666)), c_Relation_OId__on(_u10662, _u10668))) | hBOOL(hAPP(hAPP(c_member(_u10662), _u10664), _u10668)) )).
% 20.36/20.56 cnf(fact_Id__on__iff-3, axiom, ( ( _u10665 != _u10667) | ~hBOOL(hAPP(hAPP(c_member(_u10663), _u10665), _u10669)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10663, _u10663)), hAPP(hAPP(c_Product__Type_OPair(_u10663, _u10663), _u10665), _u10667)), c_Relation_OId__on(_u10663, _u10669))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Id__on__eqI ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Id__on__eqI-1, axiom, ( ( _u10670 != _u10671) | ~hBOOL(hAPP(hAPP(c_member(_u10672), _u10670), _u10673)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10672, _u10672)), hAPP(hAPP(c_Product__Type_OPair(_u10672, _u10672), _u10670), _u10671)), c_Relation_OId__on(_u10672, _u10673))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_UN__le__eq__Un0 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_UN__le__eq__Un0-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10674, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10675)), _u10676) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10674, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10674, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u10675)), _u10676)), hAPP(_u10676, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_ivl__disj__un_I19_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_ivl__disj__un_I19_J-1, axiom, ( ~class_Orderings_Olinorder(_u10677) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10677), _u10678), _u10679)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10677), _u10679), _u10680)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10677, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10677, _u10678, _u10679)), c_SetInterval_Oord__class_OatLeastAtMost(_u10677, _u10679, _u10680)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10677, _u10678, _u10680)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_ivl__disj__un_I4_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_ivl__disj__un_I4_J-1, axiom, ( ~class_Orderings_Olinorder(_u10681) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10681), _u10682), _u10683)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10681, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10681, _u10682, _u10683)), hAPP(hAPP(c_Set_Oinsert(_u10681), _u10683), c_Orderings_Obot__class_Obot(tc_fun(_u10681, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10681, _u10682, _u10683)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_finite__greaterThanAtMost ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_finite__greaterThanAtMost-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u10684, _u10685))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_finite__greaterThanLessThan ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_finite__greaterThanLessThan-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u10686, _u10687))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_finite__greaterThanAtMost__int ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_finite__greaterThanAtMost__int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u10688, _u10689))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_finite__atMost ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_finite__atMost-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10690))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_ivl__disj__int_I3_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_ivl__disj__int_I3_J-1, axiom, ( ~class_Orderings_Oorder(_u10691) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10691, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u10691), _u10692)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10691, _u10692, _u10693)) = c_Orderings_Obot__class_Obot(tc_fun(_u10691, tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_ivl__disj__un_I9_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_ivl__disj__un_I9_J-1, axiom, ( ~class_Orderings_Olinorder(_u10694) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10694), _u10695), _u10696)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10694, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u10694), _u10695)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10694, _u10695, _u10696)) = hAPP(c_SetInterval_Oord__class_OatMost(_u10694), _u10696)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_atMost__eq__iff ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_atMost__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u10697) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u10697), _u10698) != hAPP(c_SetInterval_Oord__class_OatMost(_u10697), _u10699)) | ( _u10698 = _u10699) )).
% 20.36/20.56 cnf(fact_atMost__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u10697) | ( _u10698 != _u10699) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u10697), _u10698) = hAPP(c_SetInterval_Oord__class_OatMost(_u10697), _u10699)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_greaterThanAtMost__empty ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_greaterThanAtMost__empty-1, axiom, ( ~class_Orderings_Oorder(_u10700) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10700), _u10701), _u10702)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u10700, _u10702, _u10701) = c_Orderings_Obot__class_Obot(tc_fun(_u10700, tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_greaterThanAtMost__empty__iff2 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_greaterThanAtMost__empty__iff2-1, axiom, ( ~class_Orderings_Oorder(_u10703) | ( c_Orderings_Obot__class_Obot(tc_fun(_u10703, tc_HOL_Obool)) != c_SetInterval_Oord__class_OgreaterThanAtMost(_u10703, _u10704, _u10705)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10703), _u10704), _u10705)) )).
% 20.36/20.56 cnf(fact_greaterThanAtMost__empty__iff2-2, axiom, ( ~class_Orderings_Oorder(_u10703) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10703), _u10704), _u10705)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u10703, tc_HOL_Obool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10703, _u10704, _u10705)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_greaterThanAtMost__empty__iff ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_greaterThanAtMost__empty__iff-1, axiom, ( ~class_Orderings_Oorder(_u10706) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u10706, _u10707, _u10708) != c_Orderings_Obot__class_Obot(tc_fun(_u10706, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10706), _u10707), _u10708)) )).
% 20.36/20.56 cnf(fact_greaterThanAtMost__empty__iff-2, axiom, ( ~class_Orderings_Oorder(_u10706) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10706), _u10707), _u10708)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u10706, _u10707, _u10708) = c_Orderings_Obot__class_Obot(tc_fun(_u10706, tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_atLeast0AtMost ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_atLeast0AtMost-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u10709) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10709)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_ivl__disj__un_I20_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_ivl__disj__un_I20_J-1, axiom, ( ~class_Orderings_Olinorder(_u10710) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10710), _u10711), _u10712)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10710), _u10712), _u10713)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10710, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10710, _u10711, _u10712)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10710, _u10712, _u10713)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10710, _u10711, _u10713)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_ivl__disj__int_I14_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_ivl__disj__int_I14_J-1, axiom, ( ~class_Orderings_Oorder(_u10714) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10714, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10714, _u10715, _u10716)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10714, _u10716, _u10717)) = c_Orderings_Obot__class_Obot(tc_fun(_u10714, tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_lessThan__Suc__atMost ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_lessThan__Suc__atMost-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10718)) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10718)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_atLeastSucAtMost__greaterThanAtMost ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_atLeastSucAtMost__greaterThanAtMost-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10719), _u10720) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u10719, _u10720)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_card__atMost ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_card__atMost-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10721)) = hAPP(c_Nat_OSuc, _u10721)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_atMost__Suc ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_atMost__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10722)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10722)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10722))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_atMost__iff ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_atMost__iff-1, axiom, ( ~class_Orderings_Oord(_u10723) | ~hBOOL(hAPP(hAPP(c_member(_u10723), _u10724), hAPP(c_SetInterval_Oord__class_OatMost(_u10723), _u10725))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10723), _u10724), _u10725)) )).
% 20.36/20.56 cnf(fact_atMost__iff-2, axiom, ( ~class_Orderings_Oord(_u10723) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10723), _u10724), _u10725)) | hBOOL(hAPP(hAPP(c_member(_u10723), _u10724), hAPP(c_SetInterval_Oord__class_OatMost(_u10723), _u10725))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_atMost__subset__iff ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_atMost__subset__iff-1, axiom, ( ~class_Orderings_Oorder(_u10726) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10726, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u10726), _u10727)), hAPP(c_SetInterval_Oord__class_OatMost(_u10726), _u10728))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10726), _u10727), _u10728)) )).
% 20.36/20.56 cnf(fact_atMost__subset__iff-2, axiom, ( ~class_Orderings_Oorder(_u10726) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10726), _u10727), _u10728)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10726, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u10726), _u10727)), hAPP(c_SetInterval_Oord__class_OatMost(_u10726), _u10728))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_card__greaterThanAtMost ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_card__greaterThanAtMost-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u10729, _u10730)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10730), _u10729)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_ivl__disj__un_I22_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_ivl__disj__un_I22_J-1, axiom, ( ~class_Orderings_Olinorder(_u10731) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10731), _u10732), _u10733)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10731), _u10733), _u10734)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10731, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10731, _u10732, _u10733)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10731, _u10733, _u10734)) = c_SetInterval_Oord__class_OatLeastAtMost(_u10731, _u10732, _u10734)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_atLeastPlusOneAtMost__greaterThanAtMost__int ( axiom ) converted to clauses:
% 20.36/20.56 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), _u10735), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u10736) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u10735, _u10736)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_ivl__disj__int_I16_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_ivl__disj__int_I16_J-1, axiom, ( ~class_Orderings_Oorder(_u10737) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10737, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10737, _u10738, _u10739)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10737, _u10739, _u10740)) = c_Orderings_Obot__class_Obot(tc_fun(_u10737, tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_UN__atMost__UNIV ( axiom ) converted to clauses:
% 20.36/20.56 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))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Int__greaterThanAtMost ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Int__greaterThanAtMost-1, axiom, ( ~class_Orderings_Olinorder(_u10741) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10741, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10741, _u10742, _u10743)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10741, _u10744, _u10745)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10741, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10741), _u10742), _u10744), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10741), _u10743), _u10745))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_setsum__atMost__Suc ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_setsum__atMost__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10746) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10746), _u10747), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10748))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10746), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10746), _u10747), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10748))), hAPP(_u10747, hAPP(c_Nat_OSuc, _u10748)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_atMost__0 ( axiom ) converted to clauses:
% 20.36/20.56 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)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_ivl__disj__int_I10_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_ivl__disj__int_I10_J-1, axiom, ( ~class_Orderings_Oorder(_u10749) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10749, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10749, _u10750, _u10751)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10749, _u10751, _u10752)) = c_Orderings_Obot__class_Obot(tc_fun(_u10749, tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_card__greaterThanLessThan ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_card__greaterThanLessThan-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u10753, _u10754)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10754), hAPP(c_Nat_OSuc, _u10753))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Int__atLeastAtMostR1 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Int__atLeastAtMostR1-1, axiom, ( ~class_Orderings_Olinorder(_u10755) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10755, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u10755), _u10756)), c_SetInterval_Oord__class_OatLeastAtMost(_u10755, _u10757, _u10758)) = c_SetInterval_Oord__class_OatLeastAtMost(_u10755, _u10757, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10755), _u10756), _u10758))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Int__atLeastAtMostL1 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Int__atLeastAtMostL1-1, axiom, ( ~class_Orderings_Olinorder(_u10759) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10759, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10759, _u10760, _u10761)), hAPP(c_SetInterval_Oord__class_OatMost(_u10759), _u10762)) = c_SetInterval_Oord__class_OatLeastAtMost(_u10759, _u10760, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10759), _u10761), _u10762))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_card__greaterThanAtMost__int ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_card__greaterThanAtMost__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u10763, _u10764)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10764), _u10763))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_UN__le__add__shift ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_UN__le__add__shift-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10765, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10766)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u10765, tc_HOL_Obool), tc_Nat_Onat), _u10767), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u10768))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10765, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10768, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10766), _u10768))), _u10767)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_ivl__disj__int_I1_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_ivl__disj__int_I1_J-1, axiom, ( ~class_Orderings_Oorder(_u10769) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10769, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u10769), _u10770)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10769, _u10770, _u10771)) = c_Orderings_Obot__class_Obot(tc_fun(_u10769, tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_ivl__disj__un_I16_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_ivl__disj__un_I16_J-1, axiom, ( ~class_Orderings_Olinorder(_u10772) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10772), _u10773), _u10774)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10772), _u10774), _u10775)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10772, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10772, _u10773, _u10774)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10772, _u10774, _u10775)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u10772, _u10773, _u10775)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_setsum__head ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_setsum__head-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10776) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10777), _u10778)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10776), _u10779), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10777, _u10778)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10776), hAPP(_u10779, _u10777)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10776), _u10779), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u10777, _u10778)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_ivl__disj__un_I2_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_ivl__disj__un_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u10780) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10780, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u10780), _u10781)), hAPP(hAPP(c_Set_Oinsert(_u10780), _u10781), c_Orderings_Obot__class_Obot(tc_fun(_u10780, tc_HOL_Obool)))) = hAPP(c_SetInterval_Oord__class_OatMost(_u10780), _u10781)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_ivl__disj__un_I10_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_ivl__disj__un_I10_J-1, axiom, ( ~class_Orderings_Olinorder(_u10782) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10782), _u10783), _u10784)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10782, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u10782), _u10783)), c_SetInterval_Oord__class_OatLeastAtMost(_u10782, _u10783, _u10784)) = hAPP(c_SetInterval_Oord__class_OatMost(_u10782), _u10784)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_ivl__disj__un_I7_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_ivl__disj__un_I7_J-1, axiom, ( ~class_Orderings_Olinorder(_u10785) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10785), _u10786), _u10787)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10785, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u10785), _u10786)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10785, _u10786, _u10787)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u10785), _u10787)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_ivl__disj__un_I5_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_ivl__disj__un_I5_J-1, axiom, ( ~class_Orderings_Olinorder(_u10788) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10788), _u10789), _u10790)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10788, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u10788), _u10789), c_Orderings_Obot__class_Obot(tc_fun(_u10788, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10788, _u10789, _u10790)) = c_SetInterval_Oord__class_OatLeastAtMost(_u10788, _u10789, _u10790)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_quotient__def ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_quotient__def-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10791), _u10792), _u10793) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10791, tc_fun(tc_fun(_u10791, tc_HOL_Obool), tc_HOL_Obool)), _u10792), hAPP(hAPP(c_COMBC(_u10791, tc_fun(tc_fun(_u10791, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u10791, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10791, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u10791, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u10791, tc_HOL_Obool), tc_HOL_Obool)), _u10791), c_Set_Oinsert(tc_fun(_u10791, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u10791, tc_HOL_Obool), tc_fun(_u10791, tc_HOL_Obool), _u10791), c_Relation_OImage(_u10791, _u10791, _u10793)), hAPP(hAPP(c_COMBC(_u10791, tc_fun(_u10791, tc_HOL_Obool), tc_fun(_u10791, tc_HOL_Obool)), c_Set_Oinsert(_u10791)), c_Orderings_Obot__class_Obot(tc_fun(_u10791, tc_HOL_Obool)))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u10791, tc_HOL_Obool), tc_HOL_Obool))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Id__onE ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Id__onE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10795, _u10795)), _u10796), c_Relation_OId__on(_u10795, _u10797))) | hBOOL(hAPP(hAPP(c_member(_u10795), skolem242(_u10797, _u10796, _u10795)), _u10797)) )).
% 20.36/20.56 cnf(fact_Id__onE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10795, _u10795)), _u10796), c_Relation_OId__on(_u10795, _u10797))) | ( _u10796 = hAPP(hAPP(c_Product__Type_OPair(_u10795, _u10795), skolem242(_u10797, _u10796, _u10795)), skolem242(_u10797, _u10796, _u10795))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_ImageE ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_ImageE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10799), _u10800), hAPP(c_Relation_OImage(_u10801, _u10799, _u10802), _u10803))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10801, _u10799)), hAPP(hAPP(c_Product__Type_OPair(_u10801, _u10799), skolem243(_u10803, _u10802, _u10801, _u10800, _u10799)), _u10800)), _u10802)) )).
% 20.36/20.56 cnf(fact_ImageE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10799), _u10800), hAPP(c_Relation_OImage(_u10801, _u10799, _u10802), _u10803))) | hBOOL(hAPP(hAPP(c_member(_u10801), skolem243(_u10803, _u10802, _u10801, _u10800, _u10799)), _u10803)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_quotient__is__empty ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_quotient__is__empty-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10807), _u10809), _u10811) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u10807, tc_HOL_Obool), tc_HOL_Obool))) | ( _u10809 = c_Orderings_Obot__class_Obot(tc_fun(_u10807, tc_HOL_Obool))) )).
% 20.36/20.56 cnf(fact_quotient__is__empty-2, axiom, ( ( _u10810 != c_Orderings_Obot__class_Obot(tc_fun(_u10808, tc_HOL_Obool))) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10808), _u10810), _u10812) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u10808, tc_HOL_Obool), tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_quotient__is__empty2 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_quotient__is__empty2-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u10816, tc_HOL_Obool), tc_HOL_Obool)) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10816), _u10818), _u10820)) | ( _u10818 = c_Orderings_Obot__class_Obot(tc_fun(_u10816, tc_HOL_Obool))) )).
% 20.36/20.56 cnf(fact_quotient__is__empty2-2, axiom, ( ( _u10819 != c_Orderings_Obot__class_Obot(tc_fun(_u10817, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u10817, tc_HOL_Obool), tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10817), _u10819), _u10821)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_quotient__empty ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_quotient__empty-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10822), c_Orderings_Obot__class_Obot(tc_fun(_u10822, tc_HOL_Obool))), _u10823) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u10822, tc_HOL_Obool), tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_quotientI ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_quotientI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10824), _u10825), _u10826)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10824, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10824, _u10824, _u10827), hAPP(hAPP(c_Set_Oinsert(_u10824), _u10825), c_Orderings_Obot__class_Obot(tc_fun(_u10824, tc_HOL_Obool))))), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10824), _u10826), _u10827))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_singleton__quotient ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_singleton__quotient-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10828), hAPP(hAPP(c_Set_Oinsert(_u10828), _u10829), c_Orderings_Obot__class_Obot(tc_fun(_u10828, tc_HOL_Obool)))), _u10830) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u10828, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10828, _u10828, _u10830), hAPP(hAPP(c_Set_Oinsert(_u10828), _u10829), c_Orderings_Obot__class_Obot(tc_fun(_u10828, tc_HOL_Obool))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u10828, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_equiv__class__nondisjoint ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_equiv__class__nondisjoint-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u10831, _u10832, _u10833) | ~hBOOL(hAPP(hAPP(c_member(_u10831), _u10834), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10831, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10831, _u10831, _u10833), hAPP(hAPP(c_Set_Oinsert(_u10831), _u10835), c_Orderings_Obot__class_Obot(tc_fun(_u10831, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u10831, _u10831, _u10833), hAPP(hAPP(c_Set_Oinsert(_u10831), _u10836), c_Orderings_Obot__class_Obot(tc_fun(_u10831, tc_HOL_Obool))))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10831, _u10831)), hAPP(hAPP(c_Product__Type_OPair(_u10831, _u10831), _u10835), _u10836)), _u10833)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_subset__equiv__class ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_subset__equiv__class-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u10837, _u10838, _u10839) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10837, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10837, _u10837, _u10839), hAPP(hAPP(c_Set_Oinsert(_u10837), _u10840), c_Orderings_Obot__class_Obot(tc_fun(_u10837, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u10837, _u10837, _u10839), hAPP(hAPP(c_Set_Oinsert(_u10837), _u10841), c_Orderings_Obot__class_Obot(tc_fun(_u10837, tc_HOL_Obool)))))) | ~hBOOL(hAPP(hAPP(c_member(_u10837), _u10840), _u10838)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10837, _u10837)), hAPP(hAPP(c_Product__Type_OPair(_u10837, _u10837), _u10841), _u10840)), _u10839)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_quotientE ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_quotientE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10843, tc_HOL_Obool)), _u10844), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10843), _u10845), _u10846))) | ( _u10844 = hAPP(c_Relation_OImage(_u10843, _u10843, _u10846), hAPP(hAPP(c_Set_Oinsert(_u10843), skolem244(_u10846, _u10845, _u10844, _u10843)), c_Orderings_Obot__class_Obot(tc_fun(_u10843, tc_HOL_Obool))))) )).
% 20.36/20.56 cnf(fact_quotientE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10843, tc_HOL_Obool)), _u10844), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10843), _u10845), _u10846))) | hBOOL(hAPP(hAPP(c_member(_u10843), skolem244(_u10846, _u10845, _u10844, _u10843)), _u10845)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_equiv__intrel ( axiom ) converted to clauses:
% 20.36/20.56 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) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Union__quotient ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Union__quotient-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u10847, _u10848, _u10849) | ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10847, tc_HOL_Obool), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10847), _u10848), _u10849)) = _u10848) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_equiv__class__self ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_equiv__class__self-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u10850, _u10851, _u10852) | ~hBOOL(hAPP(hAPP(c_member(_u10850), _u10853), _u10851)) | hBOOL(hAPP(hAPP(c_member(_u10850), _u10853), hAPP(c_Relation_OImage(_u10850, _u10850, _u10852), hAPP(hAPP(c_Set_Oinsert(_u10850), _u10853), c_Orderings_Obot__class_Obot(tc_fun(_u10850, tc_HOL_Obool)))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_quotient__disj ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_quotient__disj-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u10854, _u10855, _u10856) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10854, tc_HOL_Obool)), _u10857), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10854), _u10855), _u10856))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10854, tc_HOL_Obool)), _u10858), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10854), _u10855), _u10856))) | ( _u10857 = _u10858) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10854, tc_HOL_Obool)), _u10857), _u10858) = c_Orderings_Obot__class_Obot(tc_fun(_u10854, tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_equiv__class__eq ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_equiv__class__eq-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u10859, _u10860, _u10861) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10859, _u10859)), hAPP(hAPP(c_Product__Type_OPair(_u10859, _u10859), _u10862), _u10863)), _u10861)) | ( hAPP(c_Relation_OImage(_u10859, _u10859, _u10861), hAPP(hAPP(c_Set_Oinsert(_u10859), _u10862), c_Orderings_Obot__class_Obot(tc_fun(_u10859, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u10859, _u10859, _u10861), hAPP(hAPP(c_Set_Oinsert(_u10859), _u10863), c_Orderings_Obot__class_Obot(tc_fun(_u10859, tc_HOL_Obool))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_quotient__eq__iff ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_quotient__eq__iff-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u10864, _u10865, _u10866) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10864, tc_HOL_Obool)), _u10867), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10864), _u10865), _u10866))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10864, tc_HOL_Obool)), _u10868), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10864), _u10865), _u10866))) | ~hBOOL(hAPP(hAPP(c_member(_u10864), _u10869), _u10867)) | ~hBOOL(hAPP(hAPP(c_member(_u10864), _u10870), _u10868)) | ( _u10867 != _u10868) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10864, _u10864)), hAPP(hAPP(c_Product__Type_OPair(_u10864, _u10864), _u10869), _u10870)), _u10866)) )).
% 20.36/20.56 cnf(fact_quotient__eq__iff-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u10864, _u10865, _u10866) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10864, tc_HOL_Obool)), _u10867), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10864), _u10865), _u10866))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10864, tc_HOL_Obool)), _u10868), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10864), _u10865), _u10866))) | ~hBOOL(hAPP(hAPP(c_member(_u10864), _u10869), _u10867)) | ~hBOOL(hAPP(hAPP(c_member(_u10864), _u10870), _u10868)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10864, _u10864)), hAPP(hAPP(c_Product__Type_OPair(_u10864, _u10864), _u10869), _u10870)), _u10866)) | ( _u10867 = _u10868) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_quotient__eqI ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_quotient__eqI-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u10871, _u10872, _u10873) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10871, tc_HOL_Obool)), _u10874), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10871), _u10872), _u10873))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10871, tc_HOL_Obool)), _u10875), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10871), _u10872), _u10873))) | ~hBOOL(hAPP(hAPP(c_member(_u10871), _u10876), _u10874)) | ~hBOOL(hAPP(hAPP(c_member(_u10871), _u10877), _u10875)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10871, _u10871)), hAPP(hAPP(c_Product__Type_OPair(_u10871, _u10871), _u10876), _u10877)), _u10873)) | ( _u10874 = _u10875) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_equiv__class__eq__iff ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_equiv__class__eq__iff-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u10878, _u10879, _u10880) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10878, _u10878)), hAPP(hAPP(c_Product__Type_OPair(_u10878, _u10878), _u10881), _u10882)), _u10880)) | ( hAPP(c_Relation_OImage(_u10878, _u10878, _u10880), hAPP(hAPP(c_Set_Oinsert(_u10878), _u10881), c_Orderings_Obot__class_Obot(tc_fun(_u10878, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u10878, _u10878, _u10880), hAPP(hAPP(c_Set_Oinsert(_u10878), _u10882), c_Orderings_Obot__class_Obot(tc_fun(_u10878, tc_HOL_Obool))))) )).
% 20.36/20.56 cnf(fact_equiv__class__eq__iff-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u10878, _u10879, _u10880) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10878, _u10878)), hAPP(hAPP(c_Product__Type_OPair(_u10878, _u10878), _u10881), _u10882)), _u10880)) | hBOOL(hAPP(hAPP(c_member(_u10878), _u10881), _u10879)) )).
% 20.36/20.56 cnf(fact_equiv__class__eq__iff-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u10878, _u10879, _u10880) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10878, _u10878)), hAPP(hAPP(c_Product__Type_OPair(_u10878, _u10878), _u10881), _u10882)), _u10880)) | hBOOL(hAPP(hAPP(c_member(_u10878), _u10882), _u10879)) )).
% 20.36/20.56 cnf(fact_equiv__class__eq__iff-4, axiom, ( ~c_Equiv__Relations_Oequiv(_u10878, _u10879, _u10880) | ( hAPP(c_Relation_OImage(_u10878, _u10878, _u10880), hAPP(hAPP(c_Set_Oinsert(_u10878), _u10881), c_Orderings_Obot__class_Obot(tc_fun(_u10878, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u10878, _u10878, _u10880), hAPP(hAPP(c_Set_Oinsert(_u10878), _u10882), c_Orderings_Obot__class_Obot(tc_fun(_u10878, tc_HOL_Obool))))) | ~hBOOL(hAPP(hAPP(c_member(_u10878), _u10881), _u10879)) | ~hBOOL(hAPP(hAPP(c_member(_u10878), _u10882), _u10879)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10878, _u10878)), hAPP(hAPP(c_Product__Type_OPair(_u10878, _u10878), _u10881), _u10882)), _u10880)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_eq__equiv__class__iff ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_eq__equiv__class__iff-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u10883, _u10884, _u10885) | ~hBOOL(hAPP(hAPP(c_member(_u10883), _u10886), _u10884)) | ~hBOOL(hAPP(hAPP(c_member(_u10883), _u10887), _u10884)) | ( hAPP(c_Relation_OImage(_u10883, _u10883, _u10885), hAPP(hAPP(c_Set_Oinsert(_u10883), _u10886), c_Orderings_Obot__class_Obot(tc_fun(_u10883, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u10883, _u10883, _u10885), hAPP(hAPP(c_Set_Oinsert(_u10883), _u10887), c_Orderings_Obot__class_Obot(tc_fun(_u10883, tc_HOL_Obool))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10883, _u10883)), hAPP(hAPP(c_Product__Type_OPair(_u10883, _u10883), _u10886), _u10887)), _u10885)) )).
% 20.36/20.56 cnf(fact_eq__equiv__class__iff-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u10883, _u10884, _u10885) | ~hBOOL(hAPP(hAPP(c_member(_u10883), _u10886), _u10884)) | ~hBOOL(hAPP(hAPP(c_member(_u10883), _u10887), _u10884)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10883, _u10883)), hAPP(hAPP(c_Product__Type_OPair(_u10883, _u10883), _u10886), _u10887)), _u10885)) | ( hAPP(c_Relation_OImage(_u10883, _u10883, _u10885), hAPP(hAPP(c_Set_Oinsert(_u10883), _u10886), c_Orderings_Obot__class_Obot(tc_fun(_u10883, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u10883, _u10883, _u10885), hAPP(hAPP(c_Set_Oinsert(_u10883), _u10887), c_Orderings_Obot__class_Obot(tc_fun(_u10883, tc_HOL_Obool))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_eq__equiv__class ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_eq__equiv__class-1, axiom, ( ( hAPP(c_Relation_OImage(_u10888, _u10888, _u10889), hAPP(hAPP(c_Set_Oinsert(_u10888), _u10890), c_Orderings_Obot__class_Obot(tc_fun(_u10888, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u10888, _u10888, _u10889), hAPP(hAPP(c_Set_Oinsert(_u10888), _u10891), c_Orderings_Obot__class_Obot(tc_fun(_u10888, tc_HOL_Obool))))) | ~c_Equiv__Relations_Oequiv(_u10888, _u10892, _u10889) | ~hBOOL(hAPP(hAPP(c_member(_u10888), _u10891), _u10892)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10888, _u10888)), hAPP(hAPP(c_Product__Type_OPair(_u10888, _u10888), _u10890), _u10891)), _u10889)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_equiv__class__subset ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_equiv__class__subset-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u10893, _u10894, _u10895) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10893, _u10893)), hAPP(hAPP(c_Product__Type_OPair(_u10893, _u10893), _u10896), _u10897)), _u10895)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10893, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10893, _u10893, _u10895), hAPP(hAPP(c_Set_Oinsert(_u10893), _u10896), c_Orderings_Obot__class_Obot(tc_fun(_u10893, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u10893, _u10893, _u10895), hAPP(hAPP(c_Set_Oinsert(_u10893), _u10897), c_Orderings_Obot__class_Obot(tc_fun(_u10893, tc_HOL_Obool)))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_eq__equiv__class__iff2 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_eq__equiv__class__iff2-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u10898, _u10899, _u10900) | ~hBOOL(hAPP(hAPP(c_member(_u10898), _u10901), _u10899)) | ~hBOOL(hAPP(hAPP(c_member(_u10898), _u10902), _u10899)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10898), hAPP(hAPP(c_Set_Oinsert(_u10898), _u10901), c_Orderings_Obot__class_Obot(tc_fun(_u10898, tc_HOL_Obool)))), _u10900) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10898), hAPP(hAPP(c_Set_Oinsert(_u10898), _u10902), c_Orderings_Obot__class_Obot(tc_fun(_u10898, tc_HOL_Obool)))), _u10900)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10898, _u10898)), hAPP(hAPP(c_Product__Type_OPair(_u10898, _u10898), _u10901), _u10902)), _u10900)) )).
% 20.36/20.56 cnf(fact_eq__equiv__class__iff2-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u10898, _u10899, _u10900) | ~hBOOL(hAPP(hAPP(c_member(_u10898), _u10901), _u10899)) | ~hBOOL(hAPP(hAPP(c_member(_u10898), _u10902), _u10899)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10898, _u10898)), hAPP(hAPP(c_Product__Type_OPair(_u10898, _u10898), _u10901), _u10902)), _u10900)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10898), hAPP(hAPP(c_Set_Oinsert(_u10898), _u10901), c_Orderings_Obot__class_Obot(tc_fun(_u10898, tc_HOL_Obool)))), _u10900) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10898), hAPP(hAPP(c_Set_Oinsert(_u10898), _u10902), c_Orderings_Obot__class_Obot(tc_fun(_u10898, tc_HOL_Obool)))), _u10900)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_UN__equiv__class2 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_UN__equiv__class2-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u10903, _u10904, _u10905) | ~c_Equiv__Relations_Oequiv(_u10906, _u10907, _u10908) | ~c_Equiv__Relations_Ocongruent2(_u10903, _u10906, tc_fun(_u10909, tc_HOL_Obool), _u10905, _u10908, _u10910) | ~hBOOL(hAPP(hAPP(c_member(_u10903), _u10911), _u10904)) | ~hBOOL(hAPP(hAPP(c_member(_u10906), _u10912), _u10907)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10903, tc_fun(_u10909, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10903, _u10903, _u10905), hAPP(hAPP(c_Set_Oinsert(_u10903), _u10911), c_Orderings_Obot__class_Obot(tc_fun(_u10903, tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(_u10906, tc_fun(_u10909, tc_HOL_Obool)), tc_fun(_u10909, tc_HOL_Obool), _u10903), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10906, tc_fun(_u10909, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10906, _u10906, _u10908), hAPP(hAPP(c_Set_Oinsert(_u10906), _u10912), c_Orderings_Obot__class_Obot(tc_fun(_u10906, tc_HOL_Obool)))))), _u10910)) = hAPP(hAPP(_u10910, _u10911), _u10912)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_UN__equiv__class ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_UN__equiv__class-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u10913, _u10914, _u10915) | ~c_Equiv__Relations_Ocongruent(_u10913, tc_fun(_u10916, tc_HOL_Obool), _u10915, _u10917) | ~hBOOL(hAPP(hAPP(c_member(_u10913), _u10918), _u10914)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10913, tc_fun(_u10916, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10913, _u10913, _u10915), hAPP(hAPP(c_Set_Oinsert(_u10913), _u10918), c_Orderings_Obot__class_Obot(tc_fun(_u10913, tc_HOL_Obool))))), _u10917) = hAPP(_u10917, _u10918)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_equivp__equiv ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_equivp__equiv-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u10921, c_Orderings_Otop__class_Otop(tc_fun(_u10921, tc_HOL_Obool)), _u10923) | c_Equiv__Relations_Oequivp(_u10921, hAPP(hAPP(c_COMBC(_u10921, tc_fun(tc_prod(_u10921, _u10921), tc_HOL_Obool), tc_fun(_u10921, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10921, tc_fun(tc_fun(tc_prod(_u10921, _u10921), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10921, _u10921), tc_HOL_Obool), tc_fun(_u10921, tc_HOL_Obool)), _u10921), c_COMBC(_u10921, tc_fun(tc_prod(_u10921, _u10921), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10921, tc_prod(_u10921, _u10921)), tc_fun(_u10921, tc_fun(tc_fun(tc_prod(_u10921, _u10921), tc_HOL_Obool), tc_HOL_Obool)), _u10921), hAPP(c_COMBB(tc_prod(_u10921, _u10921), tc_fun(tc_fun(tc_prod(_u10921, _u10921), tc_HOL_Obool), tc_HOL_Obool), _u10921), c_member(tc_prod(_u10921, _u10921)))), c_Product__Type_OPair(_u10921, _u10921)))), _u10923)) )).
% 20.36/20.56 cnf(fact_equivp__equiv-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u10922, hAPP(hAPP(c_COMBC(_u10922, tc_fun(tc_prod(_u10922, _u10922), tc_HOL_Obool), tc_fun(_u10922, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10922, tc_fun(tc_fun(tc_prod(_u10922, _u10922), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10922, _u10922), tc_HOL_Obool), tc_fun(_u10922, tc_HOL_Obool)), _u10922), c_COMBC(_u10922, tc_fun(tc_prod(_u10922, _u10922), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10922, tc_prod(_u10922, _u10922)), tc_fun(_u10922, tc_fun(tc_fun(tc_prod(_u10922, _u10922), tc_HOL_Obool), tc_HOL_Obool)), _u10922), hAPP(c_COMBB(tc_prod(_u10922, _u10922), tc_fun(tc_fun(tc_prod(_u10922, _u10922), tc_HOL_Obool), tc_HOL_Obool), _u10922), c_member(tc_prod(_u10922, _u10922)))), c_Product__Type_OPair(_u10922, _u10922)))), _u10924)) | c_Equiv__Relations_Oequiv(_u10922, c_Orderings_Otop__class_Otop(tc_fun(_u10922, tc_HOL_Obool)), _u10924) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_equivp__transp ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_equivp__transp-1, axiom, ( ~hBOOL(hAPP(hAPP(_u10926, _u10927), _u10928)) | ~hBOOL(hAPP(hAPP(_u10926, _u10928), _u10929)) | hBOOL(hAPP(hAPP(_u10926, _u10927), _u10929)) | ~c_Equiv__Relations_Oequivp(_u10925, _u10926) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_equivp__symp ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_equivp__symp-1, axiom, ( ~hBOOL(hAPP(hAPP(_u10931, _u10932), _u10933)) | hBOOL(hAPP(hAPP(_u10931, _u10933), _u10932)) | ~c_Equiv__Relations_Oequivp(_u10930, _u10931) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_equivp__reflp ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_equivp__reflp-1, axiom, ( hBOOL(hAPP(hAPP(_u10935, _u10936), _u10936)) | ~c_Equiv__Relations_Oequivp(_u10934, _u10935) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_equivp__def ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_equivp__def-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u10951, _u10953) | ~hBOOL(hAPP(hAPP(_u10953, _u10945), _u10943)) | ( hAPP(_u10953, _u10945) = hAPP(_u10953, _u10943)) )).
% 20.36/20.56 cnf(fact_equivp__def-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u10951, _u10953) | ( hAPP(_u10953, _u10946) != hAPP(_u10953, _u10944)) | hBOOL(hAPP(hAPP(_u10953, _u10946), _u10944)) )).
% 20.36/20.56 cnf(fact_equivp__def-3, axiom, ( c_Equiv__Relations_Oequivp(_u10952, _u10954) | hBOOL(hAPP(hAPP(_u10954, skolem245(_u10954)), skolem246(_u10954))) | ( hAPP(_u10954, skolem247(_u10954)) = hAPP(_u10954, skolem248(_u10954))) )).
% 20.36/20.56 cnf(fact_equivp__def-4, axiom, ( c_Equiv__Relations_Oequivp(_u10952, _u10954) | hBOOL(hAPP(hAPP(_u10954, skolem245(_u10954)), skolem246(_u10954))) | ~hBOOL(hAPP(hAPP(_u10954, skolem247(_u10954)), skolem248(_u10954))) )).
% 20.36/20.56 cnf(fact_equivp__def-5, axiom, ( c_Equiv__Relations_Oequivp(_u10952, _u10954) | ( hAPP(_u10954, skolem245(_u10954)) != hAPP(_u10954, skolem246(_u10954))) | ( hAPP(_u10954, skolem247(_u10954)) = hAPP(_u10954, skolem248(_u10954))) )).
% 20.36/20.56 cnf(fact_equivp__def-6, axiom, ( c_Equiv__Relations_Oequivp(_u10952, _u10954) | ( hAPP(_u10954, skolem245(_u10954)) != hAPP(_u10954, skolem246(_u10954))) | ~hBOOL(hAPP(hAPP(_u10954, skolem247(_u10954)), skolem248(_u10954))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_identity__equivp ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_identity__equivp-1, axiom, ( c_Equiv__Relations_Oequivp(_u10955, c_fequal) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_congruent2__implies__congruent ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_congruent2__implies__congruent-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u10956, _u10957, _u10958) | ~c_Equiv__Relations_Ocongruent2(_u10956, _u10959, _u10960, _u10958, _u10961, _u10962) | ~hBOOL(hAPP(hAPP(c_member(_u10956), _u10963), _u10957)) | c_Equiv__Relations_Ocongruent(_u10959, _u10960, _u10961, hAPP(_u10962, _u10963)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_congruent2D ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_congruent2D-1, axiom, ( ~c_Equiv__Relations_Ocongruent2(_u10964, _u10965, _u10966, _u10967, _u10968, _u10969) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10964, _u10964)), hAPP(hAPP(c_Product__Type_OPair(_u10964, _u10964), _u10970), _u10971)), _u10967)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10965, _u10965)), hAPP(hAPP(c_Product__Type_OPair(_u10965, _u10965), _u10972), _u10973)), _u10968)) | ( hAPP(hAPP(_u10969, _u10970), _u10972) = hAPP(hAPP(_u10969, _u10971), _u10973)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_congruentD ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_congruentD-1, axiom, ( ~c_Equiv__Relations_Ocongruent(_u10974, _u10975, _u10976, _u10977) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10974, _u10974)), hAPP(hAPP(c_Product__Type_OPair(_u10974, _u10974), _u10978), _u10979)), _u10976)) | ( hAPP(_u10977, _u10978) = hAPP(_u10977, _u10979)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_congruent2__implies__congruent__UN ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_congruent2__implies__congruent__UN-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u10980, _u10981, _u10982) | ~c_Equiv__Relations_Oequiv(_u10983, _u10984, _u10985) | ~c_Equiv__Relations_Ocongruent2(_u10980, _u10983, tc_fun(_u10986, tc_HOL_Obool), _u10982, _u10985, _u10987) | ~hBOOL(hAPP(hAPP(c_member(_u10983), _u10988), _u10984)) | c_Equiv__Relations_Ocongruent(_u10980, tc_fun(_u10986, tc_HOL_Obool), _u10982, hAPP(hAPP(c_COMBB(tc_fun(_u10983, tc_fun(_u10986, tc_HOL_Obool)), tc_fun(_u10986, tc_HOL_Obool), _u10980), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10983, tc_fun(_u10986, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10983, _u10983, _u10985), hAPP(hAPP(c_Set_Oinsert(_u10983), _u10988), c_Orderings_Obot__class_Obot(tc_fun(_u10983, tc_HOL_Obool)))))), _u10987)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_UN__equiv__class__inject ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_UN__equiv__class__inject-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u10991, _u10992, _u10993) | ~c_Equiv__Relations_Ocongruent(_u10991, tc_fun(_u10994, tc_HOL_Obool), _u10993, _u10995) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10991, tc_fun(_u10994, tc_HOL_Obool)), _u10996), _u10995) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10991, tc_fun(_u10994, tc_HOL_Obool)), _u10997), _u10995)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10991, tc_HOL_Obool)), _u10996), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10991), _u10992), _u10993))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10991, tc_HOL_Obool)), _u10997), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10991), _u10992), _u10993))) | ( _u10996 = _u10997) | hBOOL(hAPP(hAPP(c_member(_u10991), skolem249(_u10997, _u10996, _u10995, _u10994, _u10993, _u10992, _u10991)), _u10992)) )).
% 20.36/20.56 cnf(fact_UN__equiv__class__inject-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u10991, _u10992, _u10993) | ~c_Equiv__Relations_Ocongruent(_u10991, tc_fun(_u10994, tc_HOL_Obool), _u10993, _u10995) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10991, tc_fun(_u10994, tc_HOL_Obool)), _u10996), _u10995) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10991, tc_fun(_u10994, tc_HOL_Obool)), _u10997), _u10995)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10991, tc_HOL_Obool)), _u10996), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10991), _u10992), _u10993))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10991, tc_HOL_Obool)), _u10997), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10991), _u10992), _u10993))) | ( _u10996 = _u10997) | hBOOL(hAPP(hAPP(c_member(_u10991), skolem250(_u10997, _u10996, _u10995, _u10994, _u10993, _u10992, _u10991)), _u10992)) )).
% 20.36/20.56 cnf(fact_UN__equiv__class__inject-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u10991, _u10992, _u10993) | ~c_Equiv__Relations_Ocongruent(_u10991, tc_fun(_u10994, tc_HOL_Obool), _u10993, _u10995) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10991, tc_fun(_u10994, tc_HOL_Obool)), _u10996), _u10995) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10991, tc_fun(_u10994, tc_HOL_Obool)), _u10997), _u10995)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10991, tc_HOL_Obool)), _u10996), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10991), _u10992), _u10993))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10991, tc_HOL_Obool)), _u10997), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10991), _u10992), _u10993))) | ( _u10996 = _u10997) | ( hAPP(_u10995, skolem249(_u10997, _u10996, _u10995, _u10994, _u10993, _u10992, _u10991)) = hAPP(_u10995, skolem250(_u10997, _u10996, _u10995, _u10994, _u10993, _u10992, _u10991))) )).
% 20.36/20.56 cnf(fact_UN__equiv__class__inject-4, axiom, ( ~c_Equiv__Relations_Oequiv(_u10991, _u10992, _u10993) | ~c_Equiv__Relations_Ocongruent(_u10991, tc_fun(_u10994, tc_HOL_Obool), _u10993, _u10995) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10991, tc_fun(_u10994, tc_HOL_Obool)), _u10996), _u10995) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10991, tc_fun(_u10994, tc_HOL_Obool)), _u10997), _u10995)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10991, tc_HOL_Obool)), _u10996), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10991), _u10992), _u10993))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10991, tc_HOL_Obool)), _u10997), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10991), _u10992), _u10993))) | ( _u10996 = _u10997) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10991, _u10991)), hAPP(hAPP(c_Product__Type_OPair(_u10991, _u10991), skolem249(_u10997, _u10996, _u10995, _u10994, _u10993, _u10992, _u10991)), skolem250(_u10997, _u10996, _u10995, _u10994, _u10993, _u10992, _u10991))), _u10993)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_UN__equiv__class__type2 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_UN__equiv__class__type2-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11000, _u11001, _u11002) | ~c_Equiv__Relations_Oequiv(_u11003, _u11004, _u11005) | ~c_Equiv__Relations_Ocongruent2(_u11000, _u11003, tc_fun(_u11006, tc_HOL_Obool), _u11002, _u11005, _u11007) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11000, tc_HOL_Obool)), _u11008), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11000), _u11001), _u11002))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11003, tc_HOL_Obool)), _u11009), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11003), _u11004), _u11005))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11006, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11000, tc_fun(_u11006, tc_HOL_Obool)), _u11008), hAPP(hAPP(c_COMBB(tc_fun(_u11003, tc_fun(_u11006, tc_HOL_Obool)), tc_fun(_u11006, tc_HOL_Obool), _u11000), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11003, tc_fun(_u11006, tc_HOL_Obool)), _u11009)), _u11007))), _u11010)) | hBOOL(hAPP(hAPP(c_member(_u11000), skolem251(_u11010, _u11009, _u11008, _u11007, _u11006, _u11005, _u11004, _u11003, _u11002, _u11001, _u11000)), _u11001)) )).
% 20.36/20.56 cnf(fact_UN__equiv__class__type2-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u11000, _u11001, _u11002) | ~c_Equiv__Relations_Oequiv(_u11003, _u11004, _u11005) | ~c_Equiv__Relations_Ocongruent2(_u11000, _u11003, tc_fun(_u11006, tc_HOL_Obool), _u11002, _u11005, _u11007) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11000, tc_HOL_Obool)), _u11008), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11000), _u11001), _u11002))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11003, tc_HOL_Obool)), _u11009), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11003), _u11004), _u11005))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11006, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11000, tc_fun(_u11006, tc_HOL_Obool)), _u11008), hAPP(hAPP(c_COMBB(tc_fun(_u11003, tc_fun(_u11006, tc_HOL_Obool)), tc_fun(_u11006, tc_HOL_Obool), _u11000), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11003, tc_fun(_u11006, tc_HOL_Obool)), _u11009)), _u11007))), _u11010)) | hBOOL(hAPP(hAPP(c_member(_u11003), skolem252(_u11010, _u11009, _u11008, _u11007, _u11006, _u11005, _u11004, _u11003, _u11002, _u11001, _u11000)), _u11004)) )).
% 20.36/20.56 cnf(fact_UN__equiv__class__type2-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u11000, _u11001, _u11002) | ~c_Equiv__Relations_Oequiv(_u11003, _u11004, _u11005) | ~c_Equiv__Relations_Ocongruent2(_u11000, _u11003, tc_fun(_u11006, tc_HOL_Obool), _u11002, _u11005, _u11007) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11000, tc_HOL_Obool)), _u11008), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11000), _u11001), _u11002))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11003, tc_HOL_Obool)), _u11009), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11003), _u11004), _u11005))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11006, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11000, tc_fun(_u11006, tc_HOL_Obool)), _u11008), hAPP(hAPP(c_COMBB(tc_fun(_u11003, tc_fun(_u11006, tc_HOL_Obool)), tc_fun(_u11006, tc_HOL_Obool), _u11000), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11003, tc_fun(_u11006, tc_HOL_Obool)), _u11009)), _u11007))), _u11010)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11006, tc_HOL_Obool)), hAPP(hAPP(_u11007, skolem251(_u11010, _u11009, _u11008, _u11007, _u11006, _u11005, _u11004, _u11003, _u11002, _u11001, _u11000)), skolem252(_u11010, _u11009, _u11008, _u11007, _u11006, _u11005, _u11004, _u11003, _u11002, _u11001, _u11000))), _u11010)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_UN__equiv__class__type ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_UN__equiv__class__type-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11012, _u11013, _u11014) | ~c_Equiv__Relations_Ocongruent(_u11012, tc_fun(_u11015, tc_HOL_Obool), _u11014, _u11016) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11012, tc_HOL_Obool)), _u11017), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11012), _u11013), _u11014))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11015, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11012, tc_fun(_u11015, tc_HOL_Obool)), _u11017), _u11016)), _u11018)) | hBOOL(hAPP(hAPP(c_member(_u11012), skolem253(_u11018, _u11017, _u11016, _u11015, _u11014, _u11013, _u11012)), _u11013)) )).
% 20.36/20.56 cnf(fact_UN__equiv__class__type-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u11012, _u11013, _u11014) | ~c_Equiv__Relations_Ocongruent(_u11012, tc_fun(_u11015, tc_HOL_Obool), _u11014, _u11016) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11012, tc_HOL_Obool)), _u11017), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11012), _u11013), _u11014))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11015, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11012, tc_fun(_u11015, tc_HOL_Obool)), _u11017), _u11016)), _u11018)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11015, tc_HOL_Obool)), hAPP(_u11016, skolem253(_u11018, _u11017, _u11016, _u11015, _u11014, _u11013, _u11012))), _u11018)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Integ__def ( axiom ) converted to clauses:
% 20.36/20.56 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)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_card__quotient__disjoint ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_card__quotient__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11019), _u11020)) | ~c_Fun_Oinj__on(_u11019, tc_fun(tc_fun(_u11019, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u11019, tc_fun(tc_prod(_u11019, _u11019), tc_HOL_Obool), tc_fun(tc_fun(_u11019, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11019, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u11019, _u11019), tc_HOL_Obool), tc_fun(tc_fun(_u11019, tc_HOL_Obool), tc_HOL_Obool)), _u11019), c_Equiv__Relations_Oquotient(_u11019)), hAPP(hAPP(c_COMBC(_u11019, tc_fun(_u11019, tc_HOL_Obool), tc_fun(_u11019, tc_HOL_Obool)), c_Set_Oinsert(_u11019)), c_Orderings_Obot__class_Obot(tc_fun(_u11019, tc_HOL_Obool))))), _u11021), _u11020) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u11019, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11019), _u11020), _u11021)) = hAPP(c_Finite__Set_Ocard(_u11019), _u11020)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_geometric__sum ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_geometric__sum-1, axiom, ( ~class_Fields_Ofield(_u11022) | ( _u11023 = c_Groups_Oone__class_Oone(_u11022)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11022), hAPP(c_Power_Opower__class_Opower(_u11022), _u11023)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11024)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11022), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11022), hAPP(hAPP(c_Power_Opower__class_Opower(_u11022), _u11023), _u11024)), c_Groups_Oone__class_Oone(_u11022))), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11022), _u11023), c_Groups_Oone__class_Oone(_u11022)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_finite__atLeastLessThan ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_finite__atLeastLessThan-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11025), _u11026))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_atLeastLessThan__eq__iff ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_atLeastLessThan__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u11027) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11027), _u11028), _u11029)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11027), _u11030), _u11031)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11027, _u11028), _u11029) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11027, _u11030), _u11031)) | ( _u11028 = _u11030) )).
% 20.36/20.56 cnf(fact_atLeastLessThan__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u11027) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11027), _u11028), _u11029)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11027), _u11030), _u11031)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11027, _u11028), _u11029) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11027, _u11030), _u11031)) | ( _u11029 = _u11031) )).
% 20.36/20.56 cnf(fact_atLeastLessThan__eq__iff-3, axiom, ( ~class_Orderings_Olinorder(_u11027) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11027), _u11028), _u11029)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11027), _u11030), _u11031)) | ( _u11028 != _u11030) | ( _u11029 != _u11031) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11027, _u11028), _u11029) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11027, _u11030), _u11031)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_atLeastLessThan__inj_I1_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_atLeastLessThan__inj_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u11032) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11032, _u11033), _u11034) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11032, _u11035), _u11036)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11032), _u11033), _u11034)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11032), _u11035), _u11036)) | ( _u11033 = _u11035) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_atLeastLessThan__inj_I2_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_atLeastLessThan__inj_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u11037) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11037, _u11038), _u11039) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11037, _u11040), _u11041)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11037), _u11038), _u11039)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11037), _u11040), _u11041)) | ( _u11039 = _u11041) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_ex__nat__less__eq ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_ex__nat__less__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11042), _u11048)) | ~hBOOL(hAPP(_u11050, _u11042)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem254(_u11050, _u11048)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11048))) )).
% 20.36/20.56 cnf(fact_ex__nat__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11042), _u11048)) | ~hBOOL(hAPP(_u11050, _u11042)) | hBOOL(hAPP(_u11050, skolem254(_u11050, _u11048))) )).
% 20.36/20.56 cnf(fact_ex__nat__less__eq-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u11044), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11049))) | ~hBOOL(hAPP(_u11051, _u11044)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem255(_u11051, _u11049)), _u11049)) )).
% 20.36/20.56 cnf(fact_ex__nat__less__eq-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u11044), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11049))) | ~hBOOL(hAPP(_u11051, _u11044)) | hBOOL(hAPP(_u11051, skolem255(_u11051, _u11049))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_all__nat__less__eq ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_all__nat__less__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u11053), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11058))) | hBOOL(hAPP(_u11060, _u11053)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem256(_u11060, _u11058)), _u11058)) )).
% 20.36/20.56 cnf(fact_all__nat__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u11053), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11058))) | hBOOL(hAPP(_u11060, _u11053)) | ~hBOOL(hAPP(_u11060, skolem256(_u11060, _u11058))) )).
% 20.36/20.56 cnf(fact_all__nat__less__eq-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11055), _u11059)) | hBOOL(hAPP(_u11061, _u11055)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem257(_u11061, _u11059)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11059))) )).
% 20.36/20.56 cnf(fact_all__nat__less__eq-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11055), _u11059)) | hBOOL(hAPP(_u11061, _u11055)) | ~hBOOL(hAPP(_u11061, skolem257(_u11061, _u11059))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_atLeastLessThan__add__Un ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_atLeastLessThan__add__Un-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11062), _u11063)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11062), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11063), _u11064)) = 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, _u11062), _u11063)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11063), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11063), _u11064)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_atLeastLessThanSuc__atLeastAtMost ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_atLeastLessThanSuc__atLeastAtMost-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11065), hAPP(c_Nat_OSuc, _u11066)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11065, _u11066)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_atLeastLessThan0 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_atLeastLessThan0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11067), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_atLeast0LessThan ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_atLeast0LessThan-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11068) = hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11068)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_subset__card__intvl__is__intvl ( axiom ) converted to clauses:
% 20.36/20.56 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)), _u11069), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11070), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11070), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u11069))))) | ( _u11069 = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11070), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11070), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u11069)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_card__atLeastLessThan ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_card__atLeastLessThan-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11071), _u11072)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u11072), _u11071)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_atLeastLessThan__empty ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_atLeastLessThan__empty-1, axiom, ( ~class_Orderings_Oorder(_u11073) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11073), _u11074), _u11075)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11073, _u11075), _u11074) = c_Orderings_Obot__class_Obot(tc_fun(_u11073, tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_atLeastLessThan__empty__iff2 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_atLeastLessThan__empty__iff2-1, axiom, ( ~class_Orderings_Oorder(_u11076) | ( c_Orderings_Obot__class_Obot(tc_fun(_u11076, tc_HOL_Obool)) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11076, _u11077), _u11078)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11076), _u11077), _u11078)) )).
% 20.36/20.56 cnf(fact_atLeastLessThan__empty__iff2-2, axiom, ( ~class_Orderings_Oorder(_u11076) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11076), _u11077), _u11078)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u11076, tc_HOL_Obool)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11076, _u11077), _u11078)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_atLeastLessThan__empty__iff ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_atLeastLessThan__empty__iff-1, axiom, ( ~class_Orderings_Oorder(_u11079) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11079, _u11080), _u11081) != c_Orderings_Obot__class_Obot(tc_fun(_u11079, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11079), _u11080), _u11081)) )).
% 20.36/20.56 cnf(fact_atLeastLessThan__empty__iff-2, axiom, ( ~class_Orderings_Oorder(_u11079) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11079), _u11080), _u11081)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11079, _u11080), _u11081) = c_Orderings_Obot__class_Obot(tc_fun(_u11079, tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_atLeastLessThan__subset__iff ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_atLeastLessThan__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u11082) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11082, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11082, _u11083), _u11084)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11082, _u11085), _u11086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11082), _u11084), _u11083)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11082), _u11085), _u11083)) )).
% 20.36/20.56 cnf(fact_atLeastLessThan__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u11082) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11082, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11082, _u11083), _u11084)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11082, _u11085), _u11086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11082), _u11084), _u11083)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11082), _u11084), _u11086)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_setsum__shift__bounds__Suc__ivl ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_setsum__shift__bounds__Suc__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11087) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11087), _u11088), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u11089)), hAPP(c_Nat_OSuc, _u11090))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11087), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11087, tc_Nat_Onat), _u11088), c_Nat_OSuc)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11089), _u11090))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_ivl__disj__un_I17_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_ivl__disj__un_I17_J-1, axiom, ( ~class_Orderings_Olinorder(_u11091) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11091), _u11092), _u11093)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11091), _u11093), _u11094)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11091, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11091, _u11092), _u11093)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11091, _u11093), _u11094)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11091, _u11092), _u11094)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_setsum__shift__bounds__nat__ivl ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_setsum__shift__bounds__nat__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11095) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11095), _u11096), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11097), _u11098)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11099), _u11098))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11095), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11095, tc_Nat_Onat), _u11096), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u11098))), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11097), _u11099))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_ivl__diff ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_ivl__diff-1, axiom, ( ~class_Orderings_Olinorder(_u11100) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11100), _u11101), _u11102)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11100, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11100, _u11101), _u11103)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11100, _u11101), _u11102)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11100, _u11102), _u11103)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_ivl__disj__int_I11_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_ivl__disj__int_I11_J-1, axiom, ( ~class_Orderings_Oorder(_u11104) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11104, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11104, _u11105), _u11106)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11104, _u11106), _u11107)) = c_Orderings_Obot__class_Obot(tc_fun(_u11104, tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_atLeastSucLessThan__greaterThanLessThan ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_atLeastSucLessThan__greaterThanLessThan-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u11108)), _u11109) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u11108, _u11109)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_finite__vimageI ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_finite__vimageI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11110), _u11111)) | ~c_Fun_Oinj__on(_u11112, _u11110, _u11113, c_Orderings_Otop__class_Otop(tc_fun(_u11112, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11112), hAPP(c_Set_Ovimage(_u11112, _u11110, _u11113), _u11111))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_setsum__add__nat__ivl ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_setsum__add__nat__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11114) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11115), _u11116)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11116), _u11117)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11114), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11114), _u11118), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11115), _u11116))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11114), _u11118), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11116), _u11117))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11114), _u11118), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11115), _u11117))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_setsum__diff__nat__ivl ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_setsum__diff__nat__ivl-1, axiom, ( ~class_Groups_Oab__group__add(_u11119) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11120), _u11121)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11121), _u11122)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11119), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11119), _u11123), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11120), _u11122))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11119), _u11123), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11120), _u11121))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11119), _u11123), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11121), _u11122))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_atLeastLessThan__singleton ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_atLeastLessThan__singleton-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11124), hAPP(c_Nat_OSuc, _u11124)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u11124), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Rep__Integ ( axiom ) converted to clauses:
% 20.36/20.56 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, _u11125)), c_Int_OInteg)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_UN__UN__finite__eq ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_UN__UN__finite__eq-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11126, 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(_u11126, tc_HOL_Obool)), tc_fun(_u11126, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_fun(_u11126, tc_HOL_Obool)), tc_fun(_u11126, tc_HOL_Obool)), tc_Nat_Onat), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11126, tc_HOL_Obool))), c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), _u11127)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11126, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11127)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_ivl__disj__un_I21_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_ivl__disj__un_I21_J-1, axiom, ( ~class_Orderings_Olinorder(_u11128) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11128), _u11129), _u11130)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11128), _u11130), _u11131)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11128, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11128, _u11129), _u11130)), c_SetInterval_Oord__class_OatLeastAtMost(_u11128, _u11130, _u11131)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11128, _u11129, _u11131)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_ivl__disj__int_I15_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_ivl__disj__int_I15_J-1, axiom, ( ~class_Orderings_Oorder(_u11132) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11132, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11132, _u11133), _u11134)), c_SetInterval_Oord__class_OatLeastAtMost(_u11132, _u11134, _u11135)) = c_Orderings_Obot__class_Obot(tc_fun(_u11132, tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Int__atLeastLessThan ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Int__atLeastLessThan-1, axiom, ( ~class_Orderings_Olinorder(_u11136) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11136, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11136, _u11137), _u11138)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11136, _u11139), _u11140)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11136, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11136), _u11137), _u11139)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11136), _u11138), _u11140))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_ivl__disj__un_I8_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_ivl__disj__un_I8_J-1, axiom, ( ~class_Orderings_Olinorder(_u11141) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11141), _u11142), _u11143)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11141, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11141), _u11142)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11141, _u11142), _u11143)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u11141), _u11143)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_ivl__disj__int_I2_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_ivl__disj__int_I2_J-1, axiom, ( ~class_Orderings_Oorder(_u11144) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11144, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11144), _u11145)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11144, _u11145), _u11146)) = c_Orderings_Obot__class_Obot(tc_fun(_u11144, tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_ivl__disj__int_I9_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_ivl__disj__int_I9_J-1, axiom, ( ~class_Orderings_Oorder(_u11147) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11147, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11147, _u11148, _u11149)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11147, _u11149), _u11150)) = c_Orderings_Obot__class_Obot(tc_fun(_u11147, tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_setsum__shift__lb__Suc0__0__upt ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_setsum__shift__lb__Suc0__0__upt-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11151) | ( hAPP(_u11152, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Ozero__class_Ozero(_u11151)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11151), _u11152), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u11153)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11151), _u11152), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11153))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_setsum__head__upt__Suc ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_setsum__head__upt__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11154) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11155), _u11156)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11154), _u11157), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11155), _u11156)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11154), hAPP(_u11157, _u11155)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11154), _u11157), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u11155)), _u11156)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_atLeastLessThanSuc ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_atLeastLessThanSuc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11160), _u11162)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11160), hAPP(c_Nat_OSuc, _u11162)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u11162), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11160), _u11162))) )).
% 20.36/20.56 cnf(fact_atLeastLessThanSuc-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11161), _u11163)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11161), hAPP(c_Nat_OSuc, _u11163)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_setsum__op__ivl__Suc ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_setsum__op__ivl__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11164) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11165), _u11166)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11164), _u11167), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11166), hAPP(c_Nat_OSuc, _u11165))) = c_Groups_Ozero__class_Ozero(_u11164)) )).
% 20.36/20.56 cnf(fact_setsum__op__ivl__Suc-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11164) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11165), _u11166)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11164), _u11167), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11166), hAPP(c_Nat_OSuc, _u11165))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11164), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11164), _u11167), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11166), _u11165))), hAPP(_u11167, _u11165))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_ivl__disj__un_I15_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_ivl__disj__un_I15_J-1, axiom, ( ~class_Orderings_Olinorder(_u11168) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11168), _u11169), _u11170)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11168), _u11170), _u11171)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11168, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11168, _u11169, _u11170)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11168, _u11170), _u11171)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u11168, _u11169, _u11171)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_quotient__diff1 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_quotient__diff1-1, axiom, ( ~c_Fun_Oinj__on(_u11172, tc_fun(tc_fun(_u11172, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u11172, tc_fun(tc_prod(_u11172, _u11172), tc_HOL_Obool), tc_fun(tc_fun(_u11172, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11172, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u11172, _u11172), tc_HOL_Obool), tc_fun(tc_fun(_u11172, tc_HOL_Obool), tc_HOL_Obool)), _u11172), c_Equiv__Relations_Oquotient(_u11172)), hAPP(hAPP(c_COMBC(_u11172, tc_fun(_u11172, tc_HOL_Obool), tc_fun(_u11172, tc_HOL_Obool)), c_Set_Oinsert(_u11172)), c_Orderings_Obot__class_Obot(tc_fun(_u11172, tc_HOL_Obool))))), _u11173), _u11174) | ~hBOOL(hAPP(hAPP(c_member(_u11172), _u11175), _u11174)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11172), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11172, tc_HOL_Obool)), _u11174), hAPP(hAPP(c_Set_Oinsert(_u11172), _u11175), c_Orderings_Obot__class_Obot(tc_fun(_u11172, tc_HOL_Obool))))), _u11173) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(_u11172, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11172), _u11174), _u11173)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11172), hAPP(hAPP(c_Set_Oinsert(_u11172), _u11175), c_Orderings_Obot__class_Obot(tc_fun(_u11172, tc_HOL_Obool)))), _u11173))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_ivl__disj__un_I6_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_ivl__disj__un_I6_J-1, axiom, ( ~class_Orderings_Olinorder(_u11176) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11176), _u11177), _u11178)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11176, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11176, _u11177), _u11178)), hAPP(hAPP(c_Set_Oinsert(_u11176), _u11178), c_Orderings_Obot__class_Obot(tc_fun(_u11176, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OatLeastAtMost(_u11176, _u11177, _u11178)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_ivl__disj__un_I3_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_ivl__disj__un_I3_J-1, axiom, ( ~class_Orderings_Olinorder(_u11179) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11179), _u11180), _u11181)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11179, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u11179), _u11180), c_Orderings_Obot__class_Obot(tc_fun(_u11179, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11179, _u11180, _u11181)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11179, _u11180), _u11181)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_ivl__disj__un_I18_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_ivl__disj__un_I18_J-1, axiom, ( ~class_Orderings_Olinorder(_u11182) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11182), _u11183), _u11184)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11182), _u11184), _u11185)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11182, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11182, _u11183, _u11184)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11182, _u11184, _u11185)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11182, _u11183), _u11185)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_inj__uminus ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_inj__uminus-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u11186) | c_Fun_Oinj__on(_u11186, _u11186, c_Groups_Ouminus__class_Ouminus(_u11186), _u11187) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_inj__on__empty ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_inj__on__empty-1, axiom, ( c_Fun_Oinj__on(_u11188, _u11189, _u11190, c_Orderings_Obot__class_Obot(tc_fun(_u11188, tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_inj__singleton ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_inj__singleton-1, axiom, ( c_Fun_Oinj__on(_u11191, tc_fun(_u11191, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u11191, tc_fun(_u11191, tc_HOL_Obool), tc_fun(_u11191, tc_HOL_Obool)), c_Set_Oinsert(_u11191)), c_Orderings_Obot__class_Obot(tc_fun(_u11191, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u11191, tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_finite__atLeastLessThan__int ( axiom ) converted to clauses:
% 20.36/20.56 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, _u11192), _u11193))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_inj__on__add__nat ( axiom ) converted to clauses:
% 20.36/20.56 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)), _u11194), _u11195) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_inj__Suc ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_inj__Suc-1, axiom, ( c_Fun_Oinj__on(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc, _u11196) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_inj__of__nat ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_inj__of__nat-1, axiom, ( ~class_Nat_Osemiring__char__0(_u11197) | c_Fun_Oinj__on(tc_Nat_Onat, _u11197, c_Nat_Osemiring__1__class_Oof__nat(_u11197), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_inj__int ( axiom ) converted to clauses:
% 20.36/20.56 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))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_swap__inj__on ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_swap__inj__on-1, axiom, ( c_Fun_Oinj__on(tc_prod(_u11198, _u11199), tc_prod(_u11199, _u11198), hAPP(c_Product__Type_Oprod_Oprod__case(_u11198, _u11199, tc_prod(_u11199, _u11198)), hAPP(c_COMBC(_u11199, _u11198, tc_prod(_u11199, _u11198)), c_Product__Type_OPair(_u11199, _u11198))), _u11200) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_finite__atLeastZeroLessThan__int ( axiom ) converted to clauses:
% 20.36/20.56 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)), _u11201))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_inj__on__def ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_inj__on__def-1, axiom, ( ~c_Fun_Oinj__on(_u11210, _u11212, _u11214, _u11216) | ~hBOOL(hAPP(hAPP(c_member(_u11210), _u11203), _u11216)) | ~hBOOL(hAPP(hAPP(c_member(_u11210), _u11202), _u11216)) | ( hAPP(_u11214, _u11203) != hAPP(_u11214, _u11202)) | ( _u11203 = _u11202) )).
% 20.36/20.56 cnf(fact_inj__on__def-2, axiom, ( c_Fun_Oinj__on(_u11211, _u11213, _u11215, _u11217) | hBOOL(hAPP(hAPP(c_member(_u11211), skolem258(_u11217, _u11215, _u11213, _u11211)), _u11217)) )).
% 20.36/20.56 cnf(fact_inj__on__def-3, axiom, ( c_Fun_Oinj__on(_u11211, _u11213, _u11215, _u11217) | hBOOL(hAPP(hAPP(c_member(_u11211), skolem259(_u11217, _u11215, _u11213, _u11211)), _u11217)) )).
% 20.36/20.56 cnf(fact_inj__on__def-4, axiom, ( c_Fun_Oinj__on(_u11211, _u11213, _u11215, _u11217) | ( hAPP(_u11215, skolem258(_u11217, _u11215, _u11213, _u11211)) = hAPP(_u11215, skolem259(_u11217, _u11215, _u11213, _u11211))) )).
% 20.36/20.56 cnf(fact_inj__on__def-5, axiom, ( c_Fun_Oinj__on(_u11211, _u11213, _u11215, _u11217) | ( skolem258(_u11217, _u11215, _u11213, _u11211) != skolem259(_u11217, _u11215, _u11213, _u11211)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_atLeastLessThanPlusOne__atLeastAtMost__int ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_atLeastLessThanPlusOne__atLeastAtMost__int-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u11218), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11219), c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u11218, _u11219)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_card__atLeastZeroLessThan__int ( axiom ) converted to clauses:
% 20.36/20.56 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)), _u11220)) = hAPP(c_Int_Onat, _u11220)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_card__atLeastLessThan__int ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_card__atLeastLessThan__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u11221), _u11222)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11222), _u11221))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_atLeastPlusOneLessThan__greaterThanLessThan__int ( axiom ) converted to clauses:
% 20.36/20.56 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), _u11223), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11224) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u11223, _u11224)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_inj__on__id2 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_inj__on__id2-1, axiom, ( c_Fun_Oinj__on(_u11225, _u11225, c_COMBI(_u11225), _u11226) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_vimage__ident ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_vimage__ident-1, axiom, ( ( hAPP(c_Set_Ovimage(_u11227, _u11227, c_COMBI(_u11227)), _u11228) = _u11228) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_inj__onD ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_inj__onD-1, axiom, ( ~c_Fun_Oinj__on(_u11229, _u11230, _u11231, _u11232) | ( hAPP(_u11231, _u11233) != hAPP(_u11231, _u11234)) | ~hBOOL(hAPP(hAPP(c_member(_u11229), _u11233), _u11232)) | ~hBOOL(hAPP(hAPP(c_member(_u11229), _u11234), _u11232)) | ( _u11233 = _u11234) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_inj__on__iff ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_inj__on__iff-1, axiom, ( ~c_Fun_Oinj__on(_u11235, _u11236, _u11237, _u11238) | ~hBOOL(hAPP(hAPP(c_member(_u11235), _u11239), _u11238)) | ~hBOOL(hAPP(hAPP(c_member(_u11235), _u11240), _u11238)) | ( hAPP(_u11237, _u11239) != hAPP(_u11237, _u11240)) | ( _u11239 = _u11240) )).
% 20.36/20.56 cnf(fact_inj__on__iff-2, axiom, ( ~c_Fun_Oinj__on(_u11235, _u11236, _u11237, _u11238) | ~hBOOL(hAPP(hAPP(c_member(_u11235), _u11239), _u11238)) | ~hBOOL(hAPP(hAPP(c_member(_u11235), _u11240), _u11238)) | ( _u11239 != _u11240) | ( hAPP(_u11237, _u11239) = hAPP(_u11237, _u11240)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_inj__on__contraD ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_inj__on__contraD-1, axiom, ( ~c_Fun_Oinj__on(_u11241, _u11242, _u11243, _u11244) | ( _u11245 = _u11246) | ~hBOOL(hAPP(hAPP(c_member(_u11241), _u11245), _u11244)) | ~hBOOL(hAPP(hAPP(c_member(_u11241), _u11246), _u11244)) | ( hAPP(_u11243, _u11245) != hAPP(_u11243, _u11246)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_subset__inj__on ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_subset__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u11247, _u11248, _u11249, _u11250) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11247, tc_HOL_Obool)), _u11251), _u11250)) | c_Fun_Oinj__on(_u11247, _u11248, _u11249, _u11251) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_inj__eq ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_inj__eq-1, axiom, ( ~c_Fun_Oinj__on(_u11252, _u11253, _u11254, c_Orderings_Otop__class_Otop(tc_fun(_u11252, tc_HOL_Obool))) | ( hAPP(_u11254, _u11255) != hAPP(_u11254, _u11256)) | ( _u11255 = _u11256) )).
% 20.36/20.56 cnf(fact_inj__eq-2, axiom, ( ~c_Fun_Oinj__on(_u11252, _u11253, _u11254, c_Orderings_Otop__class_Otop(tc_fun(_u11252, tc_HOL_Obool))) | ( _u11255 != _u11256) | ( hAPP(_u11254, _u11255) = hAPP(_u11254, _u11256)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_injD ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_injD-1, axiom, ( ( hAPP(_u11259, _u11260) != hAPP(_u11259, _u11261)) | ( _u11260 = _u11261) | ~c_Fun_Oinj__on(_u11257, _u11258, _u11259, c_Orderings_Otop__class_Otop(tc_fun(_u11257, tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_inj__on__Int ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_inj__on__Int-1, axiom, ( ~c_Fun_Oinj__on(_u11262, _u11263, _u11264, _u11265) | ~c_Fun_Oinj__on(_u11262, _u11263, _u11264, _u11266) | c_Fun_Oinj__on(_u11262, _u11263, _u11264, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11262, tc_HOL_Obool)), _u11265), _u11266)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_inj__on__diff ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_inj__on__diff-1, axiom, ( ~c_Fun_Oinj__on(_u11267, _u11268, _u11269, _u11270) | c_Fun_Oinj__on(_u11267, _u11268, _u11269, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11267, tc_HOL_Obool)), _u11270), _u11271)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_inj__fun ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_inj__fun-1, axiom, ( ~c_Fun_Oinj__on(_u11272, _u11273, _u11274, c_Orderings_Otop__class_Otop(tc_fun(_u11272, tc_HOL_Obool))) | c_Fun_Oinj__on(_u11272, tc_fun(_u11275, _u11273), hAPP(hAPP(c_COMBB(_u11273, tc_fun(_u11275, _u11273), _u11272), c_COMBK(_u11273, _u11275)), _u11274), c_Orderings_Otop__class_Otop(tc_fun(_u11272, tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_inj__vimage__singleton ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_inj__vimage__singleton-1, axiom, ( ~c_Fun_Oinj__on(_u11276, _u11277, _u11278, c_Orderings_Otop__class_Otop(tc_fun(_u11276, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11276, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u11276, _u11277, _u11278), hAPP(hAPP(c_Set_Oinsert(_u11277), _u11279), c_Orderings_Obot__class_Obot(tc_fun(_u11277, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u11276), c_HOL_OThe(_u11276, hAPP(hAPP(c_COMBC(_u11276, _u11277, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u11277, tc_fun(_u11277, tc_HOL_Obool), _u11276), c_fequal), _u11278)), _u11279))), c_Orderings_Obot__class_Obot(tc_fun(_u11276, tc_HOL_Obool))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_UN__finite2__subset ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_UN__finite2__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11281, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11281, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem260(_u11284, _u11283, _u11282, _u11281))), _u11282)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11281, 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(_u11284, _u11283, _u11282, _u11281)), _u11283))), _u11284))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11281, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11281, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11282)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11281, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11284))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_UN__finite2__eq ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_UN__finite2__eq-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11286, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem261(_u11289, _u11288, _u11287, _u11286))), _u11287) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11286, 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(_u11289, _u11288, _u11287, _u11286)), _u11288))), _u11289)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11286, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11287) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11286, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11289)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_The__split__eq ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_The__split__eq-1, axiom, ( ( c_HOL_OThe(tc_prod(_u11290, _u11291), hAPP(c_Product__Type_Oprod_Oprod__case(_u11290, _u11291, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u11290, tc_fun(_u11291, tc_HOL_Obool), tc_fun(_u11291, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u11291, tc_HOL_Obool), tc_fun(_u11291, tc_HOL_Obool)), _u11290), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u11291)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11290), c_fconj), hAPP(c_fequal, _u11292)))), hAPP(c_fequal, _u11293)))) = hAPP(hAPP(c_Product__Type_OPair(_u11290, _u11291), _u11292), _u11293)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_split__paired__The ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_split__paired__The-1, axiom, ( ( c_HOL_OThe(tc_prod(_u11294, _u11295), _u11296) = c_HOL_OThe(tc_prod(_u11294, _u11295), hAPP(c_Product__Type_Oprod_Oprod__case(_u11294, _u11295, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u11295, tc_prod(_u11294, _u11295)), tc_fun(_u11295, tc_HOL_Obool), _u11294), hAPP(c_COMBB(tc_prod(_u11294, _u11295), tc_HOL_Obool, _u11295), _u11296)), c_Product__Type_OPair(_u11294, _u11295))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_fold__def ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_fold__def-1, axiom, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u11297, _u11298, _u11299), _u11300), _u11301) = c_HOL_OThe(_u11298, c_Finite__Set_Ofold__graph(_u11297, _u11298, _u11299, _u11300, _u11301))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_divmod__nat__def ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_divmod__nat__def-1, axiom, ( ( c_Divides_Odivmod__nat(_u11302, _u11303) = c_HOL_OThe(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat__rel(_u11302, _u11303))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_fold1__def ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_fold1__def-1, axiom, ( ( hAPP(c_Finite__Set_Ofold1(_u11304, _u11305), _u11306) = c_HOL_OThe(_u11304, c_Finite__Set_Ofold1Set(_u11304, _u11305, _u11306))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_The__split ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_The__split-1, axiom, ( ( c_HOL_OThe(tc_prod(_u11307, _u11308), hAPP(c_Product__Type_Oprod_Oprod__case(_u11307, _u11308, tc_HOL_Obool), _u11309)) = c_HOL_OThe(tc_prod(_u11307, _u11308), hAPP(hAPP(c_COMBS(tc_prod(_u11307, _u11308), _u11308, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u11307, tc_fun(_u11308, tc_HOL_Obool), tc_prod(_u11307, _u11308)), _u11309), c_Product__Type_Ofst(_u11307, _u11308))), c_Product__Type_Osnd(_u11307, _u11308)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_the__elem__def ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_the__elem__def-1, axiom, ( ( c_Set_Othe__elem(_u11310, _u11311) = c_HOL_OThe(_u11310, hAPP(hAPP(c_COMBB(tc_fun(_u11310, tc_HOL_Obool), tc_HOL_Obool, _u11310), hAPP(c_fequal, _u11311)), hAPP(hAPP(c_COMBC(_u11310, tc_fun(_u11310, tc_HOL_Obool), tc_fun(_u11310, tc_HOL_Obool)), c_Set_Oinsert(_u11310)), c_Orderings_Obot__class_Obot(tc_fun(_u11310, tc_HOL_Obool)))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_flat__lub__def ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_flat__lub__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11315, tc_HOL_Obool)), _u11317), hAPP(hAPP(c_Set_Oinsert(_u11315), _u11319), c_Orderings_Obot__class_Obot(tc_fun(_u11315, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u11315, _u11319, _u11317) = _u11319) )).
% 20.36/20.56 cnf(fact_flat__lub__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11316, tc_HOL_Obool)), _u11318), hAPP(hAPP(c_Set_Oinsert(_u11316), _u11320), c_Orderings_Obot__class_Obot(tc_fun(_u11316, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u11316, _u11320, _u11318) = c_HOL_OThe(_u11316, hAPP(hAPP(c_COMBC(_u11316, tc_fun(_u11316, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11316)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11316, tc_HOL_Obool)), _u11318), hAPP(hAPP(c_Set_Oinsert(_u11316), _u11320), c_Orderings_Obot__class_Obot(tc_fun(_u11316, tc_HOL_Obool))))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_UN__finite__subset ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_UN__finite__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11322, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11322, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem262(_u11324, _u11323, _u11322))), _u11323)), _u11324)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11322, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11322, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11323)), _u11324)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_type__definition__Integ ( axiom ) converted to clauses:
% 20.36/20.56 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) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_type__definition_OAbs__inject ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_type__definition_OAbs__inject-1, axiom, ( ~c_Typedef_Otype__definition(_u11325, _u11326, _u11327, _u11328, _u11329) | ~hBOOL(hAPP(hAPP(c_member(_u11326), _u11330), _u11329)) | ~hBOOL(hAPP(hAPP(c_member(_u11326), _u11331), _u11329)) | ( hAPP(_u11328, _u11330) != hAPP(_u11328, _u11331)) | ( _u11330 = _u11331) )).
% 20.36/20.56 cnf(fact_type__definition_OAbs__inject-2, axiom, ( ~c_Typedef_Otype__definition(_u11325, _u11326, _u11327, _u11328, _u11329) | ~hBOOL(hAPP(hAPP(c_member(_u11326), _u11330), _u11329)) | ~hBOOL(hAPP(hAPP(c_member(_u11326), _u11331), _u11329)) | ( _u11330 != _u11331) | ( hAPP(_u11328, _u11330) = hAPP(_u11328, _u11331)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_type__definition_OAbs__inverse ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_type__definition_OAbs__inverse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11333), _u11337), _u11336)) | ( hAPP(_u11334, hAPP(_u11335, _u11337)) = _u11337) | ~c_Typedef_Otype__definition(_u11332, _u11333, _u11334, _u11335, _u11336) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_type__definition_ORep ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_type__definition_ORep-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u11339), hAPP(_u11340, _u11343)), _u11342)) | ~c_Typedef_Otype__definition(_u11338, _u11339, _u11340, _u11341, _u11342) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_type__definition_ORep__inverse ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_type__definition_ORep__inverse-1, axiom, ( ( hAPP(_u11347, hAPP(_u11346, _u11349)) = _u11349) | ~c_Typedef_Otype__definition(_u11344, _u11345, _u11346, _u11347, _u11348) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_type__definition_ORep__inject ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_type__definition_ORep__inject-1, axiom, ( ~c_Typedef_Otype__definition(_u11350, _u11351, _u11352, _u11353, _u11354) | ( hAPP(_u11352, _u11355) != hAPP(_u11352, _u11356)) | ( _u11355 = _u11356) )).
% 20.36/20.56 cnf(fact_type__definition_ORep__inject-2, axiom, ( ~c_Typedef_Otype__definition(_u11350, _u11351, _u11352, _u11353, _u11354) | ( _u11355 != _u11356) | ( hAPP(_u11352, _u11355) = hAPP(_u11352, _u11356)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_image__minus__const__atLeastLessThan__nat ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_image__minus__const__atLeastLessThan__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11360), _u11362)) | ( 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)), _u11360)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11364), _u11362)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u11364), _u11360)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u11362), _u11360))) )).
% 20.36/20.56 cnf(fact_image__minus__const__atLeastLessThan__nat-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11361), _u11363)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11365), _u11363)) | ( 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)), _u11361)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11365), _u11363)) = 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)))) )).
% 20.36/20.56 cnf(fact_image__minus__const__atLeastLessThan__nat-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11361), _u11363)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11365), _u11363)) | ( 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)), _u11361)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11365), _u11363)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_image__atLeastZeroLessThan__int ( axiom ) converted to clauses:
% 20.36/20.56 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)), _u11366)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11366) = 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, _u11366)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_atMost__Int__atLeast ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_atMost__Int__atLeast-1, axiom, ( ~class_Orderings_Oorder(_u11367) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11367, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u11367), _u11368)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11367), _u11368)) = hAPP(hAPP(c_Set_Oinsert(_u11367), _u11368), c_Orderings_Obot__class_Obot(tc_fun(_u11367, tc_HOL_Obool)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_image__eqI ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_image__eqI-1, axiom, ( ( _u11369 != hAPP(_u11370, _u11371)) | ~hBOOL(hAPP(hAPP(c_member(_u11372), _u11371), _u11373)) | hBOOL(hAPP(hAPP(c_member(_u11374), _u11369), hAPP(c_Set_Oimage(_u11372, _u11374, _u11370), _u11373))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_finite__imageI ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_finite__imageI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11375), _u11376)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11377), hAPP(c_Set_Oimage(_u11375, _u11377, _u11378), _u11376))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_range__composition ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_range__composition-1, axiom, ( ( hAPP(c_Set_Oimage(_u11379, _u11380, hAPP(hAPP(c_COMBB(_u11381, _u11380, _u11379), _u11382), _u11383)), c_Orderings_Otop__class_Otop(tc_fun(_u11379, tc_HOL_Obool))) = hAPP(c_Set_Oimage(_u11381, _u11380, _u11382), hAPP(c_Set_Oimage(_u11379, _u11381, _u11383), c_Orderings_Otop__class_Otop(tc_fun(_u11379, tc_HOL_Obool))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_image__uminus__atLeast ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_image__uminus__atLeast-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u11384) | ( hAPP(c_Set_Oimage(_u11384, _u11384, c_Groups_Ouminus__class_Ouminus(_u11384)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11384), _u11385)) = hAPP(c_SetInterval_Oord__class_OatMost(_u11384), hAPP(c_Groups_Ouminus__class_Ouminus(_u11384), _u11385))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_image__uminus__atMost ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_image__uminus__atMost-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u11386) | ( hAPP(c_Set_Oimage(_u11386, _u11386, c_Groups_Ouminus__class_Ouminus(_u11386)), hAPP(c_SetInterval_Oord__class_OatMost(_u11386), _u11387)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u11386), hAPP(c_Groups_Ouminus__class_Ouminus(_u11386), _u11387))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_image__insert ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_image__insert-1, axiom, ( ( hAPP(c_Set_Oimage(_u11388, _u11389, _u11390), hAPP(hAPP(c_Set_Oinsert(_u11388), _u11391), _u11392)) = hAPP(hAPP(c_Set_Oinsert(_u11389), hAPP(_u11390, _u11391)), hAPP(c_Set_Oimage(_u11388, _u11389, _u11390), _u11392))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_empty__is__image ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_empty__is__image-1, axiom, ( ( _u11403 = c_Orderings_Obot__class_Obot(tc_fun(_u11399, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u11397, tc_HOL_Obool)) != hAPP(c_Set_Oimage(_u11399, _u11397, _u11401), _u11403)) )).
% 20.36/20.56 cnf(fact_empty__is__image-2, axiom, ( ( _u11404 != c_Orderings_Obot__class_Obot(tc_fun(_u11400, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u11398, tc_HOL_Obool)) = hAPP(c_Set_Oimage(_u11400, _u11398, _u11402), _u11404)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_image__empty ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_image__empty-1, axiom, ( ( hAPP(c_Set_Oimage(_u11405, _u11406, _u11407), c_Orderings_Obot__class_Obot(tc_fun(_u11405, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u11406, tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_image__is__empty ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_image__is__empty-1, axiom, ( ( hAPP(c_Set_Oimage(_u11412, _u11414, _u11416), _u11418) != c_Orderings_Obot__class_Obot(tc_fun(_u11414, tc_HOL_Obool))) | ( _u11418 = c_Orderings_Obot__class_Obot(tc_fun(_u11412, tc_HOL_Obool))) )).
% 20.36/20.56 cnf(fact_image__is__empty-2, axiom, ( ( _u11419 != c_Orderings_Obot__class_Obot(tc_fun(_u11413, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11413, _u11415, _u11417), _u11419) = c_Orderings_Obot__class_Obot(tc_fun(_u11415, tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_atLeast__eq__iff ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_atLeast__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u11420) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u11420), _u11421) != hAPP(c_SetInterval_Oord__class_OatLeast(_u11420), _u11422)) | ( _u11421 = _u11422) )).
% 20.36/20.56 cnf(fact_atLeast__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u11420) | ( _u11421 != _u11422) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u11420), _u11421) = hAPP(c_SetInterval_Oord__class_OatLeast(_u11420), _u11422)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_transfer__nat__int__set__relations_I4_J ( axiom ) converted to clauses:
% 20.36/20.56 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)), _u11425), _u11427)) | 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)), _u11425)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u11427))) )).
% 20.36/20.56 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)), _u11426)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u11428))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u11426), _u11428)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_transfer__nat__int__set__relations_I3_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_transfer__nat__int__set__relations_I3_J-1, axiom, ( ( _u11431 != _u11433) | ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u11431) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u11433)) )).
% 20.36/20.56 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)), _u11432) != hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u11434)) | ( _u11432 = _u11434) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_image__Pow__surj ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_image__Pow__surj-1, axiom, ( ( hAPP(c_Set_Oimage(_u11435, _u11436, _u11437), _u11438) != _u11439) | ( hAPP(c_Set_Oimage(tc_fun(_u11435, tc_HOL_Obool), tc_fun(_u11436, tc_HOL_Obool), c_Set_Oimage(_u11435, _u11436, _u11437)), hAPP(c_Set_OPow(_u11435), _u11438)) = hAPP(c_Set_OPow(_u11436), _u11439)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_image__image ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_image__image-1, axiom, ( ( hAPP(c_Set_Oimage(_u11440, _u11441, _u11442), hAPP(c_Set_Oimage(_u11443, _u11440, _u11444), _u11445)) = hAPP(c_Set_Oimage(_u11443, _u11441, hAPP(hAPP(c_COMBB(_u11440, _u11441, _u11443), _u11442), _u11444)), _u11445)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_INT__extend__simps_I10_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_INT__extend__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11446, tc_fun(_u11447, tc_HOL_Obool)), _u11448), hAPP(hAPP(c_COMBB(_u11449, tc_fun(_u11447, tc_HOL_Obool), _u11446), _u11450), _u11451)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11449, tc_fun(_u11447, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11446, _u11449, _u11451), _u11448)), _u11450)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_INT__simps_I10_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_INT__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11452, tc_fun(_u11453, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11454, _u11452, _u11455), _u11456)), _u11457) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11454, tc_fun(_u11453, tc_HOL_Obool)), _u11456), hAPP(hAPP(c_COMBB(_u11452, tc_fun(_u11453, tc_HOL_Obool), _u11454), _u11457), _u11455))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_UN__simps_I10_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_UN__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11458, tc_fun(_u11459, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11460, _u11458, _u11461), _u11462)), _u11463) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11460, tc_fun(_u11459, tc_HOL_Obool)), _u11462), hAPP(hAPP(c_COMBB(_u11458, tc_fun(_u11459, tc_HOL_Obool), _u11460), _u11463), _u11461))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_image__UN ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_image__UN-1, axiom, ( ( hAPP(c_Set_Oimage(_u11464, _u11465, _u11466), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11467, tc_fun(_u11464, tc_HOL_Obool)), _u11468), _u11469)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11467, tc_fun(_u11465, tc_HOL_Obool)), _u11468), hAPP(hAPP(c_COMBB(tc_fun(_u11464, tc_HOL_Obool), tc_fun(_u11465, tc_HOL_Obool), _u11467), c_Set_Oimage(_u11464, _u11465, _u11466)), _u11469))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_UN__extend__simps_I10_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_UN__extend__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11470, tc_fun(_u11471, tc_HOL_Obool)), _u11472), hAPP(hAPP(c_COMBB(_u11473, tc_fun(_u11471, tc_HOL_Obool), _u11470), _u11474), _u11475)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11473, tc_fun(_u11471, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11470, _u11473, _u11475), _u11472)), _u11474)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_image__ident ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_image__ident-1, axiom, ( ( hAPP(c_Set_Oimage(_u11476, _u11476, c_COMBI(_u11476)), _u11477) = _u11477) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_image__mono ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_image__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11478, tc_HOL_Obool)), _u11479), _u11480)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11481, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11478, _u11481, _u11482), _u11479)), hAPP(c_Set_Oimage(_u11478, _u11481, _u11482), _u11480))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_subset__image__iff ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_subset__image__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11490, tc_HOL_Obool)), _u11492), hAPP(c_Set_Oimage(_u11494, _u11490, _u11496), _u11498))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11494, tc_HOL_Obool)), skolem263(_u11498, _u11496, _u11494, _u11492, _u11490)), _u11498)) )).
% 20.36/20.56 cnf(fact_subset__image__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11490, tc_HOL_Obool)), _u11492), hAPP(c_Set_Oimage(_u11494, _u11490, _u11496), _u11498))) | ( _u11492 = hAPP(c_Set_Oimage(_u11494, _u11490, _u11496), skolem263(_u11498, _u11496, _u11494, _u11492, _u11490))) )).
% 20.36/20.56 cnf(fact_subset__image__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11495, tc_HOL_Obool)), _u11484), _u11499)) | ( _u11493 != hAPP(c_Set_Oimage(_u11495, _u11491, _u11497), _u11484)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11491, tc_HOL_Obool)), _u11493), hAPP(c_Set_Oimage(_u11495, _u11491, _u11497), _u11499))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_image__Pow__mono ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_image__Pow__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11500, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11501, _u11500, _u11502), _u11503)), _u11504)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u11500, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_fun(_u11501, tc_HOL_Obool), tc_fun(_u11500, tc_HOL_Obool), c_Set_Oimage(_u11501, _u11500, _u11502)), hAPP(c_Set_OPow(_u11501), _u11503))), hAPP(c_Set_OPow(_u11500), _u11504))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_image__Un ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_image__Un-1, axiom, ( ( hAPP(c_Set_Oimage(_u11505, _u11506, _u11507), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11505, tc_HOL_Obool)), _u11508), _u11509)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11506, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11505, _u11506, _u11507), _u11508)), hAPP(c_Set_Oimage(_u11505, _u11506, _u11507), _u11509))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_image__iff ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_image__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11517), _u11519), hAPP(c_Set_Oimage(_u11521, _u11517, _u11523), _u11525))) | hBOOL(hAPP(hAPP(c_member(_u11521), skolem264(_u11525, _u11523, _u11521, _u11519)), _u11525)) )).
% 20.36/20.56 cnf(fact_image__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11517), _u11519), hAPP(c_Set_Oimage(_u11521, _u11517, _u11523), _u11525))) | ( _u11519 = hAPP(_u11523, skolem264(_u11525, _u11523, _u11521, _u11519))) )).
% 20.36/20.56 cnf(fact_image__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11522), _u11511), _u11526)) | ( _u11520 != hAPP(_u11524, _u11511)) | hBOOL(hAPP(hAPP(c_member(_u11518), _u11520), hAPP(c_Set_Oimage(_u11522, _u11518, _u11524), _u11526))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_imageI ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_imageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11527), _u11528), _u11529)) | hBOOL(hAPP(hAPP(c_member(_u11530), hAPP(_u11531, _u11528)), hAPP(c_Set_Oimage(_u11527, _u11530, _u11531), _u11529))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_rev__image__eqI ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_rev__image__eqI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11532), _u11533), _u11534)) | ( _u11535 != hAPP(_u11536, _u11533)) | hBOOL(hAPP(hAPP(c_member(_u11537), _u11535), hAPP(c_Set_Oimage(_u11532, _u11537, _u11536), _u11534))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_insert__image ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_insert__image-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11538), _u11539), _u11540)) | ( hAPP(hAPP(c_Set_Oinsert(_u11541), hAPP(_u11542, _u11539)), hAPP(c_Set_Oimage(_u11538, _u11541, _u11542), _u11540)) = hAPP(c_Set_Oimage(_u11538, _u11541, _u11542), _u11540)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_range__eqI ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_range__eqI-1, axiom, ( ( _u11543 != hAPP(_u11544, _u11545)) | hBOOL(hAPP(hAPP(c_member(_u11546), _u11543), hAPP(c_Set_Oimage(_u11547, _u11546, _u11544), c_Orderings_Otop__class_Otop(tc_fun(_u11547, tc_HOL_Obool))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_rangeI ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_rangeI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u11548), hAPP(_u11549, _u11550)), hAPP(c_Set_Oimage(_u11551, _u11548, _u11549), c_Orderings_Otop__class_Otop(tc_fun(_u11551, tc_HOL_Obool))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_finite__surj ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_finite__surj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11552), _u11553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11554, tc_HOL_Obool)), _u11555), hAPP(c_Set_Oimage(_u11552, _u11554, _u11556), _u11553))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11554), _u11555)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_image__Int__subset ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_image__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11557, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11558, _u11557, _u11559), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11558, tc_HOL_Obool)), _u11560), _u11561))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11557, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11558, _u11557, _u11559), _u11560)), hAPP(c_Set_Oimage(_u11558, _u11557, _u11559), _u11561)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_finite__imageD ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_finite__imageD-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11562), hAPP(c_Set_Oimage(_u11563, _u11562, _u11564), _u11565))) | ~c_Fun_Oinj__on(_u11563, _u11562, _u11564, _u11565) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11563), _u11565)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_image__diff__subset ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_image__diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11566, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11566, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11567, _u11566, _u11568), _u11569)), hAPP(c_Set_Oimage(_u11567, _u11566, _u11568), _u11570))), hAPP(c_Set_Oimage(_u11567, _u11566, _u11568), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11567, tc_HOL_Obool)), _u11569), _u11570)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_inj__image__eq__iff ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_inj__image__eq__iff-1, axiom, ( ~c_Fun_Oinj__on(_u11571, _u11572, _u11573, c_Orderings_Otop__class_Otop(tc_fun(_u11571, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11571, _u11572, _u11573), _u11574) != hAPP(c_Set_Oimage(_u11571, _u11572, _u11573), _u11575)) | ( _u11574 = _u11575) )).
% 20.36/20.56 cnf(fact_inj__image__eq__iff-2, axiom, ( ~c_Fun_Oinj__on(_u11571, _u11572, _u11573, c_Orderings_Otop__class_Otop(tc_fun(_u11571, tc_HOL_Obool))) | ( _u11574 != _u11575) | ( hAPP(c_Set_Oimage(_u11571, _u11572, _u11573), _u11574) = hAPP(c_Set_Oimage(_u11571, _u11572, _u11573), _u11575)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_inj__on__Un__image__eq__iff ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_inj__on__Un__image__eq__iff-1, axiom, ( ~c_Fun_Oinj__on(_u11576, _u11577, _u11578, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11576, tc_HOL_Obool)), _u11579), _u11580)) | ( hAPP(c_Set_Oimage(_u11576, _u11577, _u11578), _u11579) != hAPP(c_Set_Oimage(_u11576, _u11577, _u11578), _u11580)) | ( _u11579 = _u11580) )).
% 20.36/20.56 cnf(fact_inj__on__Un__image__eq__iff-2, axiom, ( ~c_Fun_Oinj__on(_u11576, _u11577, _u11578, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11576, tc_HOL_Obool)), _u11579), _u11580)) | ( _u11579 != _u11580) | ( hAPP(c_Set_Oimage(_u11576, _u11577, _u11578), _u11579) = hAPP(c_Set_Oimage(_u11576, _u11577, _u11578), _u11580)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_image__uminus__atLeastAtMost ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_image__uminus__atLeastAtMost-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u11581) | ( hAPP(c_Set_Oimage(_u11581, _u11581, c_Groups_Ouminus__class_Ouminus(_u11581)), c_SetInterval_Oord__class_OatLeastAtMost(_u11581, _u11582, _u11583)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11581, hAPP(c_Groups_Ouminus__class_Ouminus(_u11581), _u11583), hAPP(c_Groups_Ouminus__class_Ouminus(_u11581), _u11582))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_card__image ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_card__image-1, axiom, ( ~c_Fun_Oinj__on(_u11584, _u11585, _u11586, _u11587) | ( hAPP(c_Finite__Set_Ocard(_u11585), hAPP(c_Set_Oimage(_u11584, _u11585, _u11586), _u11587)) = hAPP(c_Finite__Set_Ocard(_u11584), _u11587)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_image__vimage__subset ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_image__vimage__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11588, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11589, _u11588, _u11590), hAPP(c_Set_Ovimage(_u11589, _u11588, _u11590), _u11591))), _u11591)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_surj__image__vimage__eq ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_surj__image__vimage__eq-1, axiom, ( ( hAPP(c_Set_Oimage(_u11592, _u11593, _u11594), c_Orderings_Otop__class_Otop(tc_fun(_u11592, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u11593, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11592, _u11593, _u11594), hAPP(c_Set_Ovimage(_u11592, _u11593, _u11594), _u11595)) = _u11595) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_image__Suc__atLeastLessThan ( axiom ) converted to clauses:
% 20.36/20.56 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, _u11596), _u11597)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u11596)), hAPP(c_Nat_OSuc, _u11597))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_type__definition_OAbs__image ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_type__definition_OAbs__image-1, axiom, ( ~c_Typedef_Otype__definition(_u11598, _u11599, _u11600, _u11601, _u11602) | ( hAPP(c_Set_Oimage(_u11599, _u11598, _u11601), _u11602) = c_Orderings_Otop__class_Otop(tc_fun(_u11598, tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_type__definition_ORep__range ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_type__definition_ORep__range-1, axiom, ( ~c_Typedef_Otype__definition(_u11603, _u11604, _u11605, _u11606, _u11607) | ( hAPP(c_Set_Oimage(_u11603, _u11604, _u11605), c_Orderings_Otop__class_Otop(tc_fun(_u11603, tc_HOL_Obool))) = _u11607) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_image__Suc__atLeastAtMost ( axiom ) converted to clauses:
% 20.36/20.56 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, _u11608, _u11609)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u11608), hAPP(c_Nat_OSuc, _u11609))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_image__uminus__greaterThanLessThan ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_image__uminus__greaterThanLessThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u11610) | ( hAPP(c_Set_Oimage(_u11610, _u11610, c_Groups_Ouminus__class_Ouminus(_u11610)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11610, _u11611, _u11612)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u11610, hAPP(c_Groups_Ouminus__class_Ouminus(_u11610), _u11612), hAPP(c_Groups_Ouminus__class_Ouminus(_u11610), _u11611))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_inj__on__strict__subset ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_inj__on__strict__subset-1, axiom, ( ~c_Fun_Oinj__on(_u11613, _u11614, _u11615, _u11616) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11613, tc_HOL_Obool)), _u11617), _u11616)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11614, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11613, _u11614, _u11615), _u11617)), hAPP(c_Set_Oimage(_u11613, _u11614, _u11615), _u11616))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_image__constant__conv ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_image__constant__conv-1, axiom, ( ( _u11622 != c_Orderings_Obot__class_Obot(tc_fun(_u11624, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11624, _u11626, hAPP(c_COMBK(_u11626, _u11624), _u11628)), _u11622) = c_Orderings_Obot__class_Obot(tc_fun(_u11626, tc_HOL_Obool))) )).
% 20.36/20.56 cnf(fact_image__constant__conv-2, axiom, ( ( _u11623 = c_Orderings_Obot__class_Obot(tc_fun(_u11625, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11625, _u11627, hAPP(c_COMBK(_u11627, _u11625), _u11629)), _u11623) = hAPP(hAPP(c_Set_Oinsert(_u11627), _u11629), c_Orderings_Obot__class_Obot(tc_fun(_u11627, tc_HOL_Obool)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_finite__range__imageI ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_finite__range__imageI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11630), hAPP(c_Set_Oimage(_u11631, _u11630, _u11632), c_Orderings_Otop__class_Otop(tc_fun(_u11631, tc_HOL_Obool))))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11633), hAPP(c_Set_Oimage(_u11631, _u11633, hAPP(hAPP(c_COMBB(_u11630, _u11633, _u11631), _u11634), _u11632)), c_Orderings_Otop__class_Otop(tc_fun(_u11631, tc_HOL_Obool))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_transfer__nat__int__set__relations_I2_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_transfer__nat__int__set__relations_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u11637), _u11639)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u11637)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u11639))) )).
% 20.36/20.56 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), _u11638)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u11640))) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u11638), _u11640)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_transfer__nat__int__sum__prod_I2_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_transfer__nat__int__sum__prod_I2_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11641) | ~class_Groups_Ocomm__monoid__mult(_u11641) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u11641), _u11642), _u11643) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11641), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11641, tc_Int_Oint), _u11642), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u11643))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_image__add__atLeastLessThan ( axiom ) converted to clauses:
% 20.36/20.56 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)), _u11644)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11645), _u11646)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11645), _u11644)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11646), _u11644))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_image__add__atLeastAtMost ( axiom ) converted to clauses:
% 20.36/20.56 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)), _u11647)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11648, _u11649)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11648), _u11647), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11649), _u11647))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_transfer__nat__int__set__relations_I5_J ( axiom ) converted to clauses:
% 20.36/20.56 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)), _u11652), _u11654)) | 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)), _u11652)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u11654))) )).
% 20.36/20.56 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)), _u11653)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u11655))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u11653), _u11655)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_image__Union ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_image__Union-1, axiom, ( ( hAPP(c_Set_Oimage(_u11656, _u11657, _u11658), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u11656, tc_HOL_Obool), _u11659)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u11656, tc_HOL_Obool), tc_fun(_u11657, tc_HOL_Obool)), _u11659), c_Set_Oimage(_u11656, _u11657, _u11658))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_range__ex1__eq ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_range__ex1__eq-1, axiom, ( ~c_Fun_Oinj__on(_u11664, _u11665, _u11666, c_Orderings_Otop__class_Otop(tc_fun(_u11664, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u11665), _u11667), hAPP(c_Set_Oimage(_u11664, _u11665, _u11666), c_Orderings_Otop__class_Otop(tc_fun(_u11664, tc_HOL_Obool))))) | ( _u11667 = hAPP(_u11666, skolem265(_u11667, _u11666, _u11665, _u11664))) )).
% 20.36/20.56 cnf(fact_range__ex1__eq-2, axiom, ( ~c_Fun_Oinj__on(_u11664, _u11665, _u11666, c_Orderings_Otop__class_Otop(tc_fun(_u11664, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u11665), _u11667), hAPP(c_Set_Oimage(_u11664, _u11665, _u11666), c_Orderings_Otop__class_Otop(tc_fun(_u11664, tc_HOL_Obool))))) | ( _u11667 != hAPP(_u11666, _u11660)) | ( _u11660 = skolem265(_u11667, _u11666, _u11665, _u11664)) )).
% 20.36/20.56 cnf(fact_range__ex1__eq-3, axiom, ( ~c_Fun_Oinj__on(_u11664, _u11665, _u11666, c_Orderings_Otop__class_Otop(tc_fun(_u11664, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u11665), _u11667), hAPP(c_Set_Oimage(_u11664, _u11665, _u11666), c_Orderings_Otop__class_Otop(tc_fun(_u11664, tc_HOL_Obool))))) | ( _u11667 != hAPP(_u11666, _u11663)) | ( _u11667 = hAPP(_u11666, skolem266(_u11667, _u11666, _u11665, _u11664, _u11663))) )).
% 20.36/20.56 cnf(fact_range__ex1__eq-4, axiom, ( ~c_Fun_Oinj__on(_u11664, _u11665, _u11666, c_Orderings_Otop__class_Otop(tc_fun(_u11664, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u11665), _u11667), hAPP(c_Set_Oimage(_u11664, _u11665, _u11666), c_Orderings_Otop__class_Otop(tc_fun(_u11664, tc_HOL_Obool))))) | ( _u11667 != hAPP(_u11666, _u11663)) | ( skolem266(_u11667, _u11666, _u11665, _u11664, _u11663) != _u11663) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_inj__image__mem__iff ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_inj__image__mem__iff-1, axiom, ( ~c_Fun_Oinj__on(_u11668, _u11669, _u11670, c_Orderings_Otop__class_Otop(tc_fun(_u11668, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u11669), hAPP(_u11670, _u11671)), hAPP(c_Set_Oimage(_u11668, _u11669, _u11670), _u11672))) | hBOOL(hAPP(hAPP(c_member(_u11668), _u11671), _u11672)) )).
% 20.36/20.56 cnf(fact_inj__image__mem__iff-2, axiom, ( ~c_Fun_Oinj__on(_u11668, _u11669, _u11670, c_Orderings_Otop__class_Otop(tc_fun(_u11668, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u11668), _u11671), _u11672)) | hBOOL(hAPP(hAPP(c_member(_u11669), hAPP(_u11670, _u11671)), hAPP(c_Set_Oimage(_u11668, _u11669, _u11670), _u11672))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_inj__on__iff__surj ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_inj__on__iff__surj-1, axiom, ( ( _u11677 = c_Orderings_Obot__class_Obot(tc_fun(_u11678, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u11678, _u11679, _u11673, _u11677) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11679, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11678, _u11679, _u11673), _u11677)), _u11680)) | ( hAPP(c_Set_Oimage(_u11679, _u11678, skolem267(_u11680, _u11679, _u11678, _u11677)), _u11680) = _u11677) )).
% 20.36/20.56 cnf(fact_inj__on__iff__surj-2, axiom, ( ( _u11677 = c_Orderings_Obot__class_Obot(tc_fun(_u11678, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11679, _u11678, _u11675), _u11680) != _u11677) | c_Fun_Oinj__on(_u11678, _u11679, skolem268(_u11680, _u11679, _u11678, _u11677), _u11677) )).
% 20.36/20.56 cnf(fact_inj__on__iff__surj-3, axiom, ( ( _u11677 = c_Orderings_Obot__class_Obot(tc_fun(_u11678, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11679, _u11678, _u11675), _u11680) != _u11677) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11679, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11678, _u11679, skolem268(_u11680, _u11679, _u11678, _u11677)), _u11677)), _u11680)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_finite__surj__inj ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_finite__surj__inj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11681), _u11682)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11681, tc_HOL_Obool)), _u11682), hAPP(c_Set_Oimage(_u11681, _u11681, _u11683), _u11682))) | c_Fun_Oinj__on(_u11681, _u11681, _u11683, _u11682) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_endo__inj__surj ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_endo__inj__surj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11684), _u11685)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11684, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11684, _u11684, _u11686), _u11685)), _u11685)) | ~c_Fun_Oinj__on(_u11684, _u11684, _u11686, _u11685) | ( hAPP(c_Set_Oimage(_u11684, _u11684, _u11686), _u11685) = _u11685) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_finite__UNIV__surj__inj ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_finite__UNIV__surj__inj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11687), c_Orderings_Otop__class_Otop(tc_fun(_u11687, tc_HOL_Obool)))) | ( hAPP(c_Set_Oimage(_u11687, _u11687, _u11688), c_Orderings_Otop__class_Otop(tc_fun(_u11687, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u11687, tc_HOL_Obool))) | c_Fun_Oinj__on(_u11687, _u11687, _u11688, c_Orderings_Otop__class_Otop(tc_fun(_u11687, tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_finite__UNIV__inj__surj ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_finite__UNIV__inj__surj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11689), c_Orderings_Otop__class_Otop(tc_fun(_u11689, tc_HOL_Obool)))) | ~c_Fun_Oinj__on(_u11689, _u11689, _u11690, c_Orderings_Otop__class_Otop(tc_fun(_u11689, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11689, _u11689, _u11690), c_Orderings_Otop__class_Otop(tc_fun(_u11689, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u11689, tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_card__image__le ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_card__image__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11691), _u11692)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u11693), hAPP(c_Set_Oimage(_u11691, _u11693, _u11694), _u11692))), hAPP(c_Finite__Set_Ocard(_u11691), _u11692))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_inj__image__subset__iff ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_inj__image__subset__iff-1, axiom, ( ~c_Fun_Oinj__on(_u11695, _u11696, _u11697, c_Orderings_Otop__class_Otop(tc_fun(_u11695, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11696, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11695, _u11696, _u11697), _u11698)), hAPP(c_Set_Oimage(_u11695, _u11696, _u11697), _u11699))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11695, tc_HOL_Obool)), _u11698), _u11699)) )).
% 20.36/20.56 cnf(fact_inj__image__subset__iff-2, axiom, ( ~c_Fun_Oinj__on(_u11695, _u11696, _u11697, c_Orderings_Otop__class_Otop(tc_fun(_u11695, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11695, tc_HOL_Obool)), _u11698), _u11699)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11696, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11695, _u11696, _u11697), _u11698)), hAPP(c_Set_Oimage(_u11695, _u11696, _u11697), _u11699))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_inj__on__image__Int ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_inj__on__image__Int-1, axiom, ( ~c_Fun_Oinj__on(_u11700, _u11701, _u11702, _u11703) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11700, tc_HOL_Obool)), _u11704), _u11703)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11700, tc_HOL_Obool)), _u11705), _u11703)) | ( hAPP(c_Set_Oimage(_u11700, _u11701, _u11702), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11700, tc_HOL_Obool)), _u11704), _u11705)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11701, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11700, _u11701, _u11702), _u11704)), hAPP(c_Set_Oimage(_u11700, _u11701, _u11702), _u11705))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_image__Int ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_image__Int-1, axiom, ( ~c_Fun_Oinj__on(_u11706, _u11707, _u11708, c_Orderings_Otop__class_Otop(tc_fun(_u11706, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11706, _u11707, _u11708), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11706, tc_HOL_Obool)), _u11709), _u11710)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11707, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11706, _u11707, _u11708), _u11709)), hAPP(c_Set_Oimage(_u11706, _u11707, _u11708), _u11710))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_eq__card__imp__inj__on ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_eq__card__imp__inj__on-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11711), _u11712)) | ( hAPP(c_Finite__Set_Ocard(_u11713), hAPP(c_Set_Oimage(_u11711, _u11713, _u11714), _u11712)) != hAPP(c_Finite__Set_Ocard(_u11711), _u11712)) | c_Fun_Oinj__on(_u11711, _u11713, _u11714, _u11712) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_inj__on__iff__eq__card ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_inj__on__iff__eq__card-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11715), _u11716)) | ~c_Fun_Oinj__on(_u11715, _u11717, _u11718, _u11716) | ( hAPP(c_Finite__Set_Ocard(_u11717), hAPP(c_Set_Oimage(_u11715, _u11717, _u11718), _u11716)) = hAPP(c_Finite__Set_Ocard(_u11715), _u11716)) )).
% 20.36/20.56 cnf(fact_inj__on__iff__eq__card-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11715), _u11716)) | ( hAPP(c_Finite__Set_Ocard(_u11717), hAPP(c_Set_Oimage(_u11715, _u11717, _u11718), _u11716)) != hAPP(c_Finite__Set_Ocard(_u11715), _u11716)) | c_Fun_Oinj__on(_u11715, _u11717, _u11718, _u11716) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_inj__on__image__set__diff ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_inj__on__image__set__diff-1, axiom, ( ~c_Fun_Oinj__on(_u11719, _u11720, _u11721, _u11722) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11719, tc_HOL_Obool)), _u11723), _u11722)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11719, tc_HOL_Obool)), _u11724), _u11722)) | ( hAPP(c_Set_Oimage(_u11719, _u11720, _u11721), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11719, tc_HOL_Obool)), _u11723), _u11724)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11720, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11719, _u11720, _u11721), _u11723)), hAPP(c_Set_Oimage(_u11719, _u11720, _u11721), _u11724))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_image__set__diff ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_image__set__diff-1, axiom, ( ~c_Fun_Oinj__on(_u11725, _u11726, _u11727, c_Orderings_Otop__class_Otop(tc_fun(_u11725, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11725, _u11726, _u11727), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11725, tc_HOL_Obool)), _u11728), _u11729)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11726, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11725, _u11726, _u11727), _u11728)), hAPP(c_Set_Oimage(_u11725, _u11726, _u11727), _u11729))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_pigeonhole ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_pigeonhole-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u11730), hAPP(c_Set_Oimage(_u11731, _u11730, _u11732), _u11733))), hAPP(c_Finite__Set_Ocard(_u11731), _u11733))) | ~c_Fun_Oinj__on(_u11731, _u11730, _u11732, _u11733) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_finite__vimageD ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_finite__vimageD-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11734), hAPP(c_Set_Ovimage(_u11734, _u11735, _u11736), _u11737))) | ( hAPP(c_Set_Oimage(_u11734, _u11735, _u11736), c_Orderings_Otop__class_Otop(tc_fun(_u11734, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u11735, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11735), _u11737)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_atLeast__iff ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_atLeast__iff-1, axiom, ( ~class_Orderings_Oord(_u11738) | ~hBOOL(hAPP(hAPP(c_member(_u11738), _u11739), hAPP(c_SetInterval_Oord__class_OatLeast(_u11738), _u11740))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11738), _u11740), _u11739)) )).
% 20.36/20.56 cnf(fact_atLeast__iff-2, axiom, ( ~class_Orderings_Oord(_u11738) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11738), _u11740), _u11739)) | hBOOL(hAPP(hAPP(c_member(_u11738), _u11739), hAPP(c_SetInterval_Oord__class_OatLeast(_u11738), _u11740))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_surj__Compl__image__subset ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_surj__Compl__image__subset-1, axiom, ( ( hAPP(c_Set_Oimage(_u11741, _u11742, _u11743), c_Orderings_Otop__class_Otop(tc_fun(_u11741, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u11742, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11742, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11742, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11741, _u11742, _u11743), _u11744))), hAPP(c_Set_Oimage(_u11741, _u11742, _u11743), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11741, tc_HOL_Obool)), _u11744)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_vimage__subsetD ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_vimage__subsetD-1, axiom, ( ( hAPP(c_Set_Oimage(_u11745, _u11746, _u11747), c_Orderings_Otop__class_Otop(tc_fun(_u11745, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u11746, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11745, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u11745, _u11746, _u11747), _u11748)), _u11749)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11746, tc_HOL_Obool)), _u11748), hAPP(c_Set_Oimage(_u11745, _u11746, _u11747), _u11749))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_image__vimage__eq ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_image__vimage__eq-1, axiom, ( ( hAPP(c_Set_Oimage(_u11750, _u11751, _u11752), hAPP(c_Set_Ovimage(_u11750, _u11751, _u11752), _u11753)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11751, tc_HOL_Obool)), _u11753), hAPP(c_Set_Oimage(_u11750, _u11751, _u11752), c_Orderings_Otop__class_Otop(tc_fun(_u11750, tc_HOL_Obool))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_inj__vimage__image__eq ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_inj__vimage__image__eq-1, axiom, ( ~c_Fun_Oinj__on(_u11754, _u11755, _u11756, c_Orderings_Otop__class_Otop(tc_fun(_u11754, tc_HOL_Obool))) | ( hAPP(c_Set_Ovimage(_u11754, _u11755, _u11756), hAPP(c_Set_Oimage(_u11754, _u11755, _u11756), _u11757)) = _u11757) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_atLeast__subset__iff ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_atLeast__subset__iff-1, axiom, ( ~class_Orderings_Oorder(_u11758) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11758, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11758), _u11759)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11758), _u11760))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11758), _u11760), _u11759)) )).
% 20.36/20.56 cnf(fact_atLeast__subset__iff-2, axiom, ( ~class_Orderings_Oorder(_u11758) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11758), _u11760), _u11759)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11758, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11758), _u11759)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11758), _u11760))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_atLeast__0 ( axiom ) converted to clauses:
% 20.36/20.56 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))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_image__uminus__greaterThanAtMost ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_image__uminus__greaterThanAtMost-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u11761) | ( hAPP(c_Set_Oimage(_u11761, _u11761, c_Groups_Ouminus__class_Ouminus(_u11761)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u11761, _u11762, _u11763)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11761, hAPP(c_Groups_Ouminus__class_Ouminus(_u11761), _u11763)), hAPP(c_Groups_Ouminus__class_Ouminus(_u11761), _u11762))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_image__uminus__atLeastLessThan ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_image__uminus__atLeastLessThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u11764) | ( hAPP(c_Set_Oimage(_u11764, _u11764, c_Groups_Ouminus__class_Ouminus(_u11764)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11764, _u11765), _u11766)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u11764, hAPP(c_Groups_Ouminus__class_Ouminus(_u11764), _u11766), hAPP(c_Groups_Ouminus__class_Ouminus(_u11764), _u11765))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_image__constant ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_image__constant-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11767), _u11768), _u11769)) | ( hAPP(c_Set_Oimage(_u11767, _u11770, hAPP(c_COMBK(_u11770, _u11767), _u11771)), _u11769) = hAPP(hAPP(c_Set_Oinsert(_u11770), _u11771), c_Orderings_Obot__class_Obot(tc_fun(_u11770, tc_HOL_Obool)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_image__eq__UN ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_image__eq__UN-1, axiom, ( ( hAPP(c_Set_Oimage(_u11772, _u11773, _u11774), _u11775) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11772, tc_fun(_u11773, tc_HOL_Obool)), _u11775), hAPP(hAPP(c_COMBC(_u11772, tc_fun(_u11773, tc_HOL_Obool), tc_fun(_u11773, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u11773, tc_fun(tc_fun(_u11773, tc_HOL_Obool), tc_fun(_u11773, tc_HOL_Obool)), _u11772), c_Set_Oinsert(_u11773)), _u11774)), c_Orderings_Obot__class_Obot(tc_fun(_u11773, tc_HOL_Obool))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_transfer__nat__int__sum__prod_I1_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_transfer__nat__int__sum__prod_I1_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11776) | ~class_Groups_Ocomm__monoid__mult(_u11776) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11776), _u11777), _u11778) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u11776), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11776, tc_Int_Oint), _u11777), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u11778))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Compl__atLeast ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Compl__atLeast-1, axiom, ( ~class_Orderings_Olinorder(_u11779) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11779, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11779), _u11780)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u11779), _u11780)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Compl__lessThan ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Compl__lessThan-1, axiom, ( ~class_Orderings_Olinorder(_u11781) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11781, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11781), _u11782)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u11781), _u11782)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_transfer__nat__int__set__relations_I1_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_transfer__nat__int__set__relations_I1_J-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u11784)) | 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)), _u11784))) )).
% 20.36/20.56 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)), _u11785))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u11785)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u11786) = 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)), _u11786))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J ( axiom ) converted to clauses:
% 20.36/20.56 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)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_card__bij__eq ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_card__bij__eq-1, axiom, ( ~c_Fun_Oinj__on(_u11787, _u11788, _u11789, _u11790) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11788, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11787, _u11788, _u11789), _u11790)), _u11791)) | ~c_Fun_Oinj__on(_u11788, _u11787, _u11792, _u11791) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11787, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11788, _u11787, _u11792), _u11791)), _u11790)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11787), _u11790)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11788), _u11791)) | ( hAPP(c_Finite__Set_Ocard(_u11787), _u11790) = hAPP(c_Finite__Set_Ocard(_u11788), _u11791)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_inj__image__Compl__subset ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_inj__image__Compl__subset-1, axiom, ( ~c_Fun_Oinj__on(_u11793, _u11794, _u11795, c_Orderings_Otop__class_Otop(tc_fun(_u11793, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11794, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11793, _u11794, _u11795), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11793, tc_HOL_Obool)), _u11796))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11794, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11793, _u11794, _u11795), _u11796)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_vimage__subsetI ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_vimage__subsetI-1, axiom, ( ~c_Fun_Oinj__on(_u11797, _u11798, _u11799, c_Orderings_Otop__class_Otop(tc_fun(_u11797, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11798, tc_HOL_Obool)), _u11800), hAPP(c_Set_Oimage(_u11797, _u11798, _u11799), _u11801))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11797, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u11797, _u11798, _u11799), _u11800)), _u11801)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_image__eq__fold__image ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_image__eq__fold__image-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11802), _u11803)) | ( hAPP(c_Set_Oimage(_u11802, _u11804, _u11805), _u11803) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(_u11804, tc_HOL_Obool), _u11802, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11804, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u11802, tc_fun(_u11804, tc_HOL_Obool), tc_fun(_u11804, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u11804, tc_fun(tc_fun(_u11804, tc_HOL_Obool), tc_fun(_u11804, tc_HOL_Obool)), _u11802), c_Set_Oinsert(_u11804)), _u11805)), c_Orderings_Obot__class_Obot(tc_fun(_u11804, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(_u11804, tc_HOL_Obool))), _u11803)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_lessThan__Suc__eq__insert__0 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_lessThan__Suc__eq__insert__0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11806)) = 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), _u11806)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_ivl__disj__un_I14_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_ivl__disj__un_I14_J-1, axiom, ( ~class_Orderings_Olinorder(_u11807) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11807), _u11808), _u11809)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11807, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11807, _u11808), _u11809)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11807), _u11809)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u11807), _u11808)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_ivl__disj__int_I8_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_ivl__disj__int_I8_J-1, axiom, ( ~class_Orderings_Oorder(_u11810) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11810, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11810, _u11811), _u11812)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11810), _u11812)) = c_Orderings_Obot__class_Obot(tc_fun(_u11810, tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Int__atLeastAtMostL2 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Int__atLeastAtMostL2-1, axiom, ( ~class_Orderings_Olinorder(_u11813) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11813, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11813, _u11814, _u11815)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11813), _u11816)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11813, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11813), _u11814), _u11816), _u11815)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Int__atLeastAtMostR2 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Int__atLeastAtMostR2-1, axiom, ( ~class_Orderings_Olinorder(_u11817) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11817, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11817), _u11818)), c_SetInterval_Oord__class_OatLeastAtMost(_u11817, _u11819, _u11820)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11817, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11817), _u11818), _u11819), _u11820)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_inj__on__insert ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_inj__on__insert-1, axiom, ( ~c_Fun_Oinj__on(_u11826, _u11828, _u11830, hAPP(hAPP(c_Set_Oinsert(_u11826), _u11832), _u11834)) | c_Fun_Oinj__on(_u11826, _u11828, _u11830, _u11834) )).
% 20.36/20.56 cnf(fact_inj__on__insert-2, axiom, ( ~c_Fun_Oinj__on(_u11826, _u11828, _u11830, hAPP(hAPP(c_Set_Oinsert(_u11826), _u11832), _u11834)) | ~hBOOL(hAPP(hAPP(c_member(_u11828), hAPP(_u11830, _u11832)), hAPP(c_Set_Oimage(_u11826, _u11828, _u11830), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11826, tc_HOL_Obool)), _u11834), hAPP(hAPP(c_Set_Oinsert(_u11826), _u11832), c_Orderings_Obot__class_Obot(tc_fun(_u11826, tc_HOL_Obool))))))) )).
% 20.36/20.56 cnf(fact_inj__on__insert-3, axiom, ( ~c_Fun_Oinj__on(_u11827, _u11829, _u11831, _u11835) | hBOOL(hAPP(hAPP(c_member(_u11829), hAPP(_u11831, _u11833)), hAPP(c_Set_Oimage(_u11827, _u11829, _u11831), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11827, tc_HOL_Obool)), _u11835), hAPP(hAPP(c_Set_Oinsert(_u11827), _u11833), c_Orderings_Obot__class_Obot(tc_fun(_u11827, tc_HOL_Obool))))))) | c_Fun_Oinj__on(_u11827, _u11829, _u11831, hAPP(hAPP(c_Set_Oinsert(_u11827), _u11833), _u11835)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_UN__atLeast__UNIV ( axiom ) converted to clauses:
% 20.36/20.56 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))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_inj__on__Un ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_inj__on__Un-1, axiom, ( ~c_Fun_Oinj__on(_u11841, _u11843, _u11845, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11841, tc_HOL_Obool)), _u11847), _u11849)) | c_Fun_Oinj__on(_u11841, _u11843, _u11845, _u11847) )).
% 20.36/20.56 cnf(fact_inj__on__Un-2, axiom, ( ~c_Fun_Oinj__on(_u11841, _u11843, _u11845, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11841, tc_HOL_Obool)), _u11847), _u11849)) | c_Fun_Oinj__on(_u11841, _u11843, _u11845, _u11849) )).
% 20.36/20.56 cnf(fact_inj__on__Un-3, axiom, ( ~c_Fun_Oinj__on(_u11841, _u11843, _u11845, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11841, tc_HOL_Obool)), _u11847), _u11849)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11843, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11841, _u11843, _u11845), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11841, tc_HOL_Obool)), _u11847), _u11849))), hAPP(c_Set_Oimage(_u11841, _u11843, _u11845), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11841, tc_HOL_Obool)), _u11849), _u11847))) = c_Orderings_Obot__class_Obot(tc_fun(_u11843, tc_HOL_Obool))) )).
% 20.36/20.56 cnf(fact_inj__on__Un-4, axiom, ( ~c_Fun_Oinj__on(_u11842, _u11844, _u11846, _u11848) | ~c_Fun_Oinj__on(_u11842, _u11844, _u11846, _u11850) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11844, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11842, _u11844, _u11846), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11842, tc_HOL_Obool)), _u11848), _u11850))), hAPP(c_Set_Oimage(_u11842, _u11844, _u11846), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11842, tc_HOL_Obool)), _u11850), _u11848))) != c_Orderings_Obot__class_Obot(tc_fun(_u11844, tc_HOL_Obool))) | c_Fun_Oinj__on(_u11842, _u11844, _u11846, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11842, tc_HOL_Obool)), _u11848), _u11850)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_ivl__disj__int_I6_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_ivl__disj__int_I6_J-1, axiom, ( ~class_Orderings_Oorder(_u11851) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11851, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11851, _u11852, _u11853)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11851), _u11853)) = c_Orderings_Obot__class_Obot(tc_fun(_u11851, tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_card__inj__on__le ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_card__inj__on__le-1, axiom, ( ~c_Fun_Oinj__on(_u11854, _u11855, _u11856, _u11857) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11855, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11854, _u11855, _u11856), _u11857)), _u11858)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11855), _u11858)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u11854), _u11857)), hAPP(c_Finite__Set_Ocard(_u11855), _u11858))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_inj__on__iff__card__le ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_inj__on__iff__card__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11861), _u11862)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11863), _u11864)) | ~c_Fun_Oinj__on(_u11861, _u11863, _u11859, _u11862) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11863, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11861, _u11863, _u11859), _u11862)), _u11864)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u11861), _u11862)), hAPP(c_Finite__Set_Ocard(_u11863), _u11864))) )).
% 20.36/20.56 cnf(fact_inj__on__iff__card__le-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11861), _u11862)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11863), _u11864)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u11861), _u11862)), hAPP(c_Finite__Set_Ocard(_u11863), _u11864))) | c_Fun_Oinj__on(_u11861, _u11863, skolem269(_u11864, _u11863, _u11862, _u11861), _u11862) )).
% 20.36/20.56 cnf(fact_inj__on__iff__card__le-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11861), _u11862)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11863), _u11864)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u11861), _u11862)), hAPP(c_Finite__Set_Ocard(_u11863), _u11864))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11863, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11861, _u11863, skolem269(_u11864, _u11863, _u11862, _u11861)), _u11862)), _u11864)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_atLeast__Suc ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_atLeast__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11865)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), _u11865)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u11865), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_minus__Min__eq__Max ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_minus__Min__eq__Max-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u11866) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11866), _u11867)) | ( _u11867 = c_Orderings_Obot__class_Obot(tc_fun(_u11866, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u11866), c_Big__Operators_Olinorder__class_OMin(_u11866, _u11867)) = c_Big__Operators_Olinorder__class_OMax(_u11866, hAPP(c_Set_Oimage(_u11866, _u11866, c_Groups_Ouminus__class_Ouminus(_u11866)), _u11867))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_minus__Max__eq__Min ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_minus__Max__eq__Min-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u11868) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11868), _u11869)) | ( _u11869 = c_Orderings_Obot__class_Obot(tc_fun(_u11868, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u11868), c_Big__Operators_Olinorder__class_OMax(_u11868, _u11869)) = c_Big__Operators_Olinorder__class_OMin(_u11868, hAPP(c_Set_Oimage(_u11868, _u11868, c_Groups_Ouminus__class_Ouminus(_u11868)), _u11869))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_SetInterval_Otransfer__int__nat__set__functions ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_SetInterval_Otransfer__int__nat__set__functions-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u11870) | ~c_Nat__Transfer_Ois__nat(_u11871) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u11870, _u11871) = 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, _u11870), hAPP(c_Int_Onat, _u11871)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_image__INT ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_image__INT-1, axiom, ( ~c_Fun_Oinj__on(_u11873, _u11874, _u11875, _u11876) | ~hBOOL(hAPP(hAPP(c_member(_u11877), _u11880), _u11878)) | ( hAPP(c_Set_Oimage(_u11873, _u11874, _u11875), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11877, tc_fun(_u11873, tc_HOL_Obool)), _u11878), _u11879)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11877, tc_fun(_u11874, tc_HOL_Obool)), _u11878), hAPP(hAPP(c_COMBB(tc_fun(_u11873, tc_HOL_Obool), tc_fun(_u11874, tc_HOL_Obool), _u11877), c_Set_Oimage(_u11873, _u11874, _u11875)), _u11879))) | hBOOL(hAPP(hAPP(c_member(_u11877), skolem270(_u11880, _u11879, _u11878, _u11877, _u11876, _u11875, _u11874, _u11873)), _u11878)) )).
% 20.36/20.56 cnf(fact_image__INT-2, axiom, ( ~c_Fun_Oinj__on(_u11873, _u11874, _u11875, _u11876) | ~hBOOL(hAPP(hAPP(c_member(_u11877), _u11880), _u11878)) | ( hAPP(c_Set_Oimage(_u11873, _u11874, _u11875), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11877, tc_fun(_u11873, tc_HOL_Obool)), _u11878), _u11879)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11877, tc_fun(_u11874, tc_HOL_Obool)), _u11878), hAPP(hAPP(c_COMBB(tc_fun(_u11873, tc_HOL_Obool), tc_fun(_u11874, tc_HOL_Obool), _u11877), c_Set_Oimage(_u11873, _u11874, _u11875)), _u11879))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11873, tc_HOL_Obool)), hAPP(_u11879, skolem270(_u11880, _u11879, _u11878, _u11877, _u11876, _u11875, _u11874, _u11873))), _u11876)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_ivl__disj__un_I12_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_ivl__disj__un_I12_J-1, axiom, ( ~class_Orderings_Olinorder(_u11881) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11881), _u11882), _u11883)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11881, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11881, _u11882, _u11883)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11881), _u11883)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11881), _u11882)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_fun__upd__image ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_fun__upd__image-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11890), _u11892), _u11894)) | ( hAPP(c_Set_Oimage(_u11890, _u11896, c_Fun_Ofun__upd(_u11890, _u11896, _u11898, _u11892, _u11900)), _u11894) = hAPP(hAPP(c_Set_Oinsert(_u11896), _u11900), hAPP(c_Set_Oimage(_u11890, _u11896, _u11898), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11890, tc_HOL_Obool)), _u11894), hAPP(hAPP(c_Set_Oinsert(_u11890), _u11892), c_Orderings_Obot__class_Obot(tc_fun(_u11890, tc_HOL_Obool))))))) )).
% 20.36/20.56 cnf(fact_fun__upd__image-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u11891), _u11893), _u11895)) | ( hAPP(c_Set_Oimage(_u11891, _u11897, c_Fun_Ofun__upd(_u11891, _u11897, _u11899, _u11893, _u11901)), _u11895) = hAPP(c_Set_Oimage(_u11891, _u11897, _u11899), _u11895)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_fun__upd__triv ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_fun__upd__triv-1, axiom, ( ( c_Fun_Ofun__upd(_u11902, _u11903, _u11904, _u11905, hAPP(_u11904, _u11905)) = _u11904) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_pair__imageI ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_pair__imageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11906, _u11907)), hAPP(hAPP(c_Product__Type_OPair(_u11906, _u11907), _u11908), _u11909)), _u11910)) | hBOOL(hAPP(hAPP(c_member(_u11911), hAPP(hAPP(_u11912, _u11908), _u11909)), hAPP(c_Set_Oimage(tc_prod(_u11906, _u11907), _u11911, hAPP(c_Product__Type_Oprod_Oprod__case(_u11906, _u11907, _u11911), _u11912)), _u11910))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_atLeast__Suc__greaterThan ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_atLeast__Suc__greaterThan-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11913)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u11913)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Cantors__paradox ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Cantors__paradox-1, axiom, ( ( hAPP(c_Set_Oimage(_u11915, tc_fun(_u11915, tc_HOL_Obool), _u11914), _u11916) != hAPP(c_Set_OPow(_u11915), _u11916)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_fun__upd__idem ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_fun__upd__idem-1, axiom, ( ( hAPP(_u11917, _u11918) != _u11919) | ( c_Fun_Ofun__upd(_u11920, _u11921, _u11917, _u11918, _u11919) = _u11917) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_fun__upd__other ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_fun__upd__other-1, axiom, ( ( _u11922 = _u11923) | ( hAPP(c_Fun_Ofun__upd(_u11924, _u11925, _u11926, _u11923, _u11927), _u11922) = hAPP(_u11926, _u11922)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_fun__upd__twist ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_fun__upd__twist-1, axiom, ( ( _u11928 = _u11929) | ( c_Fun_Ofun__upd(_u11930, _u11931, c_Fun_Ofun__upd(_u11930, _u11931, _u11932, _u11928, _u11933), _u11929, _u11934) = c_Fun_Ofun__upd(_u11930, _u11931, c_Fun_Ofun__upd(_u11930, _u11931, _u11932, _u11929, _u11934), _u11928, _u11933)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_fun__upd__apply ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_fun__upd__apply-1, axiom, ( ( _u11941 != _u11943) | ( hAPP(c_Fun_Ofun__upd(_u11945, _u11947, _u11949, _u11943, _u11951), _u11941) = _u11951) )).
% 20.36/20.56 cnf(fact_fun__upd__apply-2, axiom, ( ( _u11942 = _u11944) | ( hAPP(c_Fun_Ofun__upd(_u11946, _u11948, _u11950, _u11944, _u11952), _u11942) = hAPP(_u11950, _u11942)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_fun__upd__same ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_fun__upd__same-1, axiom, ( ( hAPP(c_Fun_Ofun__upd(_u11953, _u11954, _u11955, _u11956, _u11957), _u11956) = _u11957) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_fun__upd__upd ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_fun__upd__upd-1, axiom, ( ( c_Fun_Ofun__upd(_u11958, _u11959, c_Fun_Ofun__upd(_u11958, _u11959, _u11960, _u11961, _u11962), _u11961, _u11963) = c_Fun_Ofun__upd(_u11958, _u11959, _u11960, _u11961, _u11963)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_fun__upd__idem__iff ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_fun__upd__idem__iff-1, axiom, ( ( hAPP(_u11973, _u11975) = _u11977) | ( c_Fun_Ofun__upd(_u11969, _u11971, _u11973, _u11975, _u11977) != _u11973) )).
% 20.36/20.56 cnf(fact_fun__upd__idem__iff-2, axiom, ( ( hAPP(_u11974, _u11976) != _u11978) | ( c_Fun_Ofun__upd(_u11970, _u11972, _u11974, _u11976, _u11978) = _u11974) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_fun__upd__def ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_fun__upd__def-1, axiom, ( ( _u11985 != _u11987) | ( hAPP(c_Fun_Ofun__upd(_u11989, _u11991, _u11993, _u11987, _u11995), _u11985) = _u11995) )).
% 20.36/20.56 cnf(fact_fun__upd__def-2, axiom, ( ( _u11986 = _u11988) | ( hAPP(c_Fun_Ofun__upd(_u11990, _u11992, _u11994, _u11988, _u11996), _u11986) = hAPP(_u11994, _u11986)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_greaterThan__eq__iff ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_greaterThan__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u11997) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11997), _u11998) != hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11997), _u11999)) | ( _u11998 = _u11999) )).
% 20.36/20.56 cnf(fact_greaterThan__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u11997) | ( _u11998 != _u11999) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11997), _u11998) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11997), _u11999)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Field__Union ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Field__Union-1, axiom, ( ( hAPP(c_Relation_OField(_u12000), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u12000, _u12000), tc_HOL_Obool), _u12001)) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u12000, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_fun(tc_prod(_u12000, _u12000), tc_HOL_Obool), tc_fun(_u12000, tc_HOL_Obool), c_Relation_OField(_u12000)), _u12001))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_UNION__eq__Union__image ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_UNION__eq__Union__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12002, tc_fun(_u12003, tc_HOL_Obool)), _u12004), _u12005) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u12003, tc_HOL_Obool), hAPP(c_Set_Oimage(_u12002, tc_fun(_u12003, tc_HOL_Obool), _u12005), _u12004))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Union__image__eq ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Union__image__eq-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u12006, tc_HOL_Obool), hAPP(c_Set_Oimage(_u12007, tc_fun(_u12006, tc_HOL_Obool), _u12008), _u12009)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12007, tc_fun(_u12006, tc_HOL_Obool)), _u12009), _u12008)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Inter__image__eq ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Inter__image__eq-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u12010, tc_HOL_Obool), hAPP(c_Set_Oimage(_u12011, tc_fun(_u12010, tc_HOL_Obool), _u12012), _u12013)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u12011, tc_fun(_u12010, tc_HOL_Obool)), _u12013), _u12012)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_INTER__eq__Inter__image ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_INTER__eq__Inter__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u12014, tc_fun(_u12015, tc_HOL_Obool)), _u12016), _u12017) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u12015, tc_HOL_Obool), hAPP(c_Set_Oimage(_u12014, tc_fun(_u12015, tc_HOL_Obool), _u12017), _u12016))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J ( axiom ) converted to clauses:
% 20.36/20.56 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)), _u12018), _u12019) = 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)), _u12018)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u12019)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_transfer__int__nat__set__return__embed ( axiom ) converted to clauses:
% 20.36/20.56 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)), _u12020)) = _u12020) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_greaterThan__iff ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_greaterThan__iff-1, axiom, ( ~class_Orderings_Oord(_u12021) | ~hBOOL(hAPP(hAPP(c_member(_u12021), _u12022), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12021), _u12023))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12021), _u12023), _u12022)) )).
% 20.36/20.56 cnf(fact_greaterThan__iff-2, axiom, ( ~class_Orderings_Oord(_u12021) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12021), _u12023), _u12022)) | hBOOL(hAPP(hAPP(c_member(_u12021), _u12022), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12021), _u12023))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_greaterThan__subset__iff ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_greaterThan__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u12024) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12024, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12024), _u12025)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12024), _u12026))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12024), _u12026), _u12025)) )).
% 20.36/20.56 cnf(fact_greaterThan__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u12024) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12024), _u12026), _u12025)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12024, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12024), _u12025)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12024), _u12026))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Un__Union__image ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Un__Union__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12027, tc_fun(_u12028, tc_HOL_Obool)), _u12029), hAPP(hAPP(c_COMBS(_u12027, tc_fun(_u12028, tc_HOL_Obool), tc_fun(_u12028, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12028, tc_HOL_Obool), tc_fun(tc_fun(_u12028, tc_HOL_Obool), tc_fun(_u12028, tc_HOL_Obool)), _u12027), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12028, tc_HOL_Obool))), _u12030)), _u12031)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12028, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u12028, tc_HOL_Obool), hAPP(c_Set_Oimage(_u12027, tc_fun(_u12028, tc_HOL_Obool), _u12030), _u12029))), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u12028, tc_HOL_Obool), hAPP(c_Set_Oimage(_u12027, tc_fun(_u12028, tc_HOL_Obool), _u12031), _u12029)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Int__Inter__image ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Int__Inter__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u12032, tc_fun(_u12033, tc_HOL_Obool)), _u12034), hAPP(hAPP(c_COMBS(_u12032, tc_fun(_u12033, tc_HOL_Obool), tc_fun(_u12033, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12033, tc_HOL_Obool), tc_fun(tc_fun(_u12033, tc_HOL_Obool), tc_fun(_u12033, tc_HOL_Obool)), _u12032), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12033, tc_HOL_Obool))), _u12035)), _u12036)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12033, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u12033, tc_HOL_Obool), hAPP(c_Set_Oimage(_u12032, tc_fun(_u12033, tc_HOL_Obool), _u12035), _u12034))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u12033, tc_HOL_Obool), hAPP(c_Set_Oimage(_u12032, tc_fun(_u12033, tc_HOL_Obool), _u12036), _u12034)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Pow__insert ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Pow__insert-1, axiom, ( ( hAPP(c_Set_OPow(_u12037), hAPP(hAPP(c_Set_Oinsert(_u12037), _u12038), _u12039)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u12037, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u12037), _u12039)), hAPP(c_Set_Oimage(tc_fun(_u12037, tc_HOL_Obool), tc_fun(_u12037, tc_HOL_Obool), hAPP(c_Set_Oinsert(_u12037), _u12038)), hAPP(c_Set_OPow(_u12037), _u12039)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Compl__atMost ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Compl__atMost-1, axiom, ( ~class_Orderings_Olinorder(_u12040) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12040, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u12040), _u12041)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12040), _u12041)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Compl__greaterThan ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Compl__greaterThan-1, axiom, ( ~class_Orderings_Olinorder(_u12042) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12042, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12042), _u12043)) = hAPP(c_SetInterval_Oord__class_OatMost(_u12042), _u12043)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J ( axiom ) converted to clauses:
% 20.36/20.56 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)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_INT__greaterThan__UNIV ( axiom ) converted to clauses:
% 20.36/20.56 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))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_inj__on__fun__updI ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_inj__on__fun__updI-1, axiom, ( ~c_Fun_Oinj__on(_u12044, _u12045, _u12046, _u12047) | hBOOL(hAPP(hAPP(c_member(_u12045), _u12048), hAPP(c_Set_Oimage(_u12044, _u12045, _u12046), _u12047))) | c_Fun_Oinj__on(_u12044, _u12045, c_Fun_Ofun__upd(_u12044, _u12045, _u12046, _u12049, _u12048), _u12047) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_SetInterval_Otransfer__nat__int__set__functions_I2_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12050, _u12051) = 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), _u12050), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u12051)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_image__add__int__atLeastLessThan ( axiom ) converted to clauses:
% 20.36/20.56 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)), _u12052)), 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), _u12053), _u12052))) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u12052), _u12053)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J ( axiom ) converted to clauses:
% 20.36/20.56 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)), _u12054), _u12055) = 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)), _u12054)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u12055)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_ivl__disj__int_I7_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_ivl__disj__int_I7_J-1, axiom, ( ~class_Orderings_Oorder(_u12056) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12056, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12056, _u12057, _u12058)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12056), _u12058)) = c_Orderings_Obot__class_Obot(tc_fun(_u12056, tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_ivl__disj__un_I11_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_ivl__disj__un_I11_J-1, axiom, ( ~class_Orderings_Olinorder(_u12059) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12059), _u12060), _u12061)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12059, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12059, _u12060, _u12061)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12059), _u12061)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12059), _u12060)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_image__uminus__greaterThan ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_image__uminus__greaterThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u12062) | ( hAPP(c_Set_Oimage(_u12062, _u12062, c_Groups_Ouminus__class_Ouminus(_u12062)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12062), _u12063)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u12062), hAPP(c_Groups_Ouminus__class_Ouminus(_u12062), _u12063))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_image__uminus__lessThan ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_image__uminus__lessThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u12064) | ( hAPP(c_Set_Oimage(_u12064, _u12064, c_Groups_Ouminus__class_Ouminus(_u12064)), hAPP(c_SetInterval_Oord__class_OlessThan(_u12064), _u12065)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12064), hAPP(c_Groups_Ouminus__class_Ouminus(_u12064), _u12065))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_ivl__disj__int_I5_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_ivl__disj__int_I5_J-1, axiom, ( ~class_Orderings_Oorder(_u12066) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12066, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12066, _u12067, _u12068)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12066), _u12068)) = c_Orderings_Obot__class_Obot(tc_fun(_u12066, tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_greaterThan__Suc ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_greaterThan__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12069)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u12069)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12069)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_SetInterval_Otransfer__nat__int__set__functions_I1_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u12070) = 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), _u12070)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_ivl__disj__un_I1_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_ivl__disj__un_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u12071) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12071, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u12071), _u12072), c_Orderings_Obot__class_Obot(tc_fun(_u12071, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12071), _u12072)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u12071), _u12072)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_greaterThan__0 ( axiom ) converted to clauses:
% 20.36/20.56 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)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_ivl__disj__un_I13_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_ivl__disj__un_I13_J-1, axiom, ( ~class_Orderings_Olinorder(_u12073) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12073), _u12074), _u12075)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12073, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12073, _u12074, _u12075)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12073), _u12075)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u12073), _u12074)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_transfer__int__nat__sum__prod_I2_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_transfer__int__nat__sum__prod_I2_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12076) | ~class_Groups_Ocomm__monoid__mult(_u12076) | ~c_Nat__Transfer_Onat__set(_u12077) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u12076), _u12078), _u12077) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u12076), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u12076, tc_Nat_Onat), _u12078), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u12077))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_finite__pointwise ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_finite__pointwise-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12080), _u12081)) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u12082, _u12083, hAPP(c_Set_Oimage(_u12080, tc_Hoare__Mirabelle_Otriple(_u12082), hAPP(hAPP(c_COMBS(_u12080, tc_fun(_u12082, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u12082)), hAPP(hAPP(c_COMBS(_u12080, tc_Com_Ocom, tc_fun(tc_fun(_u12082, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u12082))), hAPP(hAPP(c_COMBB(tc_fun(_u12082, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u12082, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u12082))), _u12080), c_Hoare__Mirabelle_Otriple_Otriple(_u12082)), _u12084)), _u12085)), _u12086)), _u12081)) | c_Hoare__Mirabelle_Ohoare__derivs(_u12082, _u12083, hAPP(c_Set_Oimage(_u12080, tc_Hoare__Mirabelle_Otriple(_u12082), hAPP(hAPP(c_COMBS(_u12080, tc_fun(_u12082, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u12082)), hAPP(hAPP(c_COMBS(_u12080, tc_Com_Ocom, tc_fun(tc_fun(_u12082, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u12082))), hAPP(hAPP(c_COMBB(tc_fun(_u12082, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u12082, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u12082))), _u12080), c_Hoare__Mirabelle_Otriple_Otriple(_u12082)), _u12087)), _u12085)), _u12088)), _u12081)) | c_Hoare__Mirabelle_Ohoare__derivs(_u12082, _u12083, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u12082)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u12082), hAPP(_u12084, skolem271(_u12088, _u12087, _u12086, _u12085, _u12084, _u12083, _u12082, _u12081, _u12080))), hAPP(_u12085, skolem271(_u12088, _u12087, _u12086, _u12085, _u12084, _u12083, _u12082, _u12081, _u12080))), hAPP(_u12086, skolem271(_u12088, _u12087, _u12086, _u12085, _u12084, _u12083, _u12082, _u12081, _u12080)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u12082), tc_HOL_Obool)))) )).
% 20.36/20.56 cnf(fact_finite__pointwise-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12080), _u12081)) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u12082, _u12083, hAPP(c_Set_Oimage(_u12080, tc_Hoare__Mirabelle_Otriple(_u12082), hAPP(hAPP(c_COMBS(_u12080, tc_fun(_u12082, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u12082)), hAPP(hAPP(c_COMBS(_u12080, tc_Com_Ocom, tc_fun(tc_fun(_u12082, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u12082))), hAPP(hAPP(c_COMBB(tc_fun(_u12082, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u12082, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u12082))), _u12080), c_Hoare__Mirabelle_Otriple_Otriple(_u12082)), _u12084)), _u12085)), _u12086)), _u12081)) | c_Hoare__Mirabelle_Ohoare__derivs(_u12082, _u12083, hAPP(c_Set_Oimage(_u12080, tc_Hoare__Mirabelle_Otriple(_u12082), hAPP(hAPP(c_COMBS(_u12080, tc_fun(_u12082, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u12082)), hAPP(hAPP(c_COMBS(_u12080, tc_Com_Ocom, tc_fun(tc_fun(_u12082, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u12082))), hAPP(hAPP(c_COMBB(tc_fun(_u12082, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u12082, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u12082))), _u12080), c_Hoare__Mirabelle_Otriple_Otriple(_u12082)), _u12087)), _u12085)), _u12088)), _u12081)) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u12082, _u12083, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u12082)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u12082), hAPP(_u12087, skolem271(_u12088, _u12087, _u12086, _u12085, _u12084, _u12083, _u12082, _u12081, _u12080))), hAPP(_u12085, skolem271(_u12088, _u12087, _u12086, _u12085, _u12084, _u12083, _u12082, _u12081, _u12080))), hAPP(_u12088, skolem271(_u12088, _u12087, _u12086, _u12085, _u12084, _u12083, _u12082, _u12081, _u12080)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u12082), tc_HOL_Obool)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_the__inv__into__into ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_the__inv__into__into-1, axiom, ( ~c_Fun_Oinj__on(_u12089, _u12090, _u12091, _u12092) | ~hBOOL(hAPP(hAPP(c_member(_u12090), _u12093), hAPP(c_Set_Oimage(_u12089, _u12090, _u12091), _u12092))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12089, tc_HOL_Obool)), _u12092), _u12094)) | hBOOL(hAPP(hAPP(c_member(_u12089), hAPP(c_Fun_Othe__inv__into(_u12089, _u12090, _u12092, _u12091), _u12093)), _u12094)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_transfer__int__nat__set__relations_I3_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_transfer__int__nat__set__relations_I3_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u12095) | ~c_Nat__Transfer_Onat__set(_u12096) | ( _u12095 != _u12096) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u12095) = hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u12096)) )).
% 20.36/20.56 cnf(fact_transfer__int__nat__set__relations_I3_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u12095) | ~c_Nat__Transfer_Onat__set(_u12096) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u12095) != hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u12096)) | ( _u12095 = _u12096) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u12097) | ~c_Nat__Transfer_Onat__set(_u12098) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u12097), _u12098)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u12099) | ~c_Nat__Transfer_Onat__set(_u12100) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u12099), _u12100)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J ( axiom ) converted to clauses:
% 20.36/20.56 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))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_nat__set__def ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_nat__set__def-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u12104) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u12101), _u12104)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12101)) )).
% 20.36/20.56 cnf(fact_nat__set__def-2, axiom, ( c_Nat__Transfer_Onat__set(_u12105) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem272(_u12105)), _u12105)) )).
% 20.36/20.56 cnf(fact_nat__set__def-3, axiom, ( c_Nat__Transfer_Onat__set(_u12105) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem272(_u12105))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J ( axiom ) converted to clauses:
% 20.36/20.56 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)), _u12106)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_SetInterval_Otransfer__int__nat__set__function__closures ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_SetInterval_Otransfer__int__nat__set__function__closures-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u12107) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u12107, _u12108)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u12109) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u12110), _u12109)) | c_Nat__Transfer_Ois__nat(_u12110) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_the__inv__into__f__eq ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_the__inv__into__f__eq-1, axiom, ( ~c_Fun_Oinj__on(_u12111, _u12112, _u12113, _u12114) | ( hAPP(_u12113, _u12115) != _u12116) | ~hBOOL(hAPP(hAPP(c_member(_u12111), _u12115), _u12114)) | ( hAPP(c_Fun_Othe__inv__into(_u12111, _u12112, _u12114, _u12113), _u12116) = _u12115) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_the__inv__into__f__f ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_the__inv__into__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u12117, _u12118, _u12119, _u12120) | ~hBOOL(hAPP(hAPP(c_member(_u12117), _u12121), _u12120)) | ( hAPP(c_Fun_Othe__inv__into(_u12117, _u12118, _u12120, _u12119), hAPP(_u12119, _u12121)) = _u12121) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_inj__on__the__inv__into ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_inj__on__the__inv__into-1, axiom, ( ~c_Fun_Oinj__on(_u12122, _u12123, _u12124, _u12125) | c_Fun_Oinj__on(_u12123, _u12122, c_Fun_Othe__inv__into(_u12122, _u12123, _u12125, _u12124), hAPP(c_Set_Oimage(_u12122, _u12123, _u12124), _u12125)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_the__inv__into__onto ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_the__inv__into__onto-1, axiom, ( ~c_Fun_Oinj__on(_u12126, _u12127, _u12128, _u12129) | ( hAPP(c_Set_Oimage(_u12127, _u12126, c_Fun_Othe__inv__into(_u12126, _u12127, _u12129, _u12128)), hAPP(c_Set_Oimage(_u12126, _u12127, _u12128), _u12129)) = _u12129) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_the__inv__f__f ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_the__inv__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u12130, _u12131, _u12132, c_Orderings_Otop__class_Otop(tc_fun(_u12130, tc_HOL_Obool))) | ( hAPP(c_Fun_Othe__inv__into(_u12130, _u12131, c_Orderings_Otop__class_Otop(tc_fun(_u12130, tc_HOL_Obool)), _u12132), hAPP(_u12132, _u12133)) = _u12133) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_SetInterval_Otransfer__nat__int__set__function__closures ( axiom ) converted to clauses:
% 20.36/20.56 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)), _u12134)) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u12134, _u12135)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_the__inv__into__def ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_the__inv__into__def-1, axiom, ( ( hAPP(c_Fun_Othe__inv__into(_u12136, _u12137, _u12138, _u12139), _u12140) = c_HOL_OThe(_u12136, hAPP(hAPP(c_COMBS(_u12136, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12136), c_fconj), hAPP(hAPP(c_COMBC(_u12136, tc_fun(_u12136, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12136)), _u12138))), hAPP(hAPP(c_COMBC(_u12136, _u12137, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u12137, tc_fun(_u12137, tc_HOL_Obool), _u12136), c_fequal), _u12139)), _u12140)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u12141) | ~c_Nat__Transfer_Onat__set(_u12142) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u12141), _u12142) = 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), _u12141)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u12142)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_transfer__nat__int__set__return__embed ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_transfer__nat__int__set__return__embed-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u12143) | ( 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), _u12143)) = _u12143) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u12144) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u12145), _u12144)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12145)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_transfer__int__nat__set__relations_I1_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_transfer__int__nat__set__relations_I1_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u12146) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u12146)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u12146))) )).
% 20.36/20.56 cnf(fact_transfer__int__nat__set__relations_I1_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u12146) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u12146))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u12146)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u12147) | ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), _u12147) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u12147))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_f__the__inv__into__f ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_f__the__inv__into__f-1, axiom, ( ~c_Fun_Oinj__on(_u12148, _u12149, _u12150, _u12151) | ~hBOOL(hAPP(hAPP(c_member(_u12149), _u12152), hAPP(c_Set_Oimage(_u12148, _u12149, _u12150), _u12151))) | ( hAPP(_u12150, hAPP(c_Fun_Othe__inv__into(_u12148, _u12149, _u12151, _u12150), _u12152)) = _u12152) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_transfer__int__nat__set__relations_I2_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_transfer__int__nat__set__relations_I2_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u12153) | ~c_Nat__Transfer_Onat__set(_u12154) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u12153), _u12154)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u12153)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u12154))) )).
% 20.36/20.56 cnf(fact_transfer__int__nat__set__relations_I2_J-2, axiom, ( ~c_Nat__Transfer_Ois__nat(_u12153) | ~c_Nat__Transfer_Onat__set(_u12154) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u12153)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u12154))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u12153), _u12154)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_transfer__int__nat__set__relations_I5_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_transfer__int__nat__set__relations_I5_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u12155) | ~c_Nat__Transfer_Onat__set(_u12156) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u12155), _u12156)) | 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), _u12155)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u12156))) )).
% 20.36/20.56 cnf(fact_transfer__int__nat__set__relations_I5_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u12155) | ~c_Nat__Transfer_Onat__set(_u12156) | ~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), _u12155)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u12156))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u12155), _u12156)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_transfer__int__nat__set__relations_I4_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_transfer__int__nat__set__relations_I4_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u12157) | ~c_Nat__Transfer_Onat__set(_u12158) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u12157), _u12158)) | 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), _u12157)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u12158))) )).
% 20.36/20.56 cnf(fact_transfer__int__nat__set__relations_I4_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u12157) | ~c_Nat__Transfer_Onat__set(_u12158) | ~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), _u12157)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u12158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u12157), _u12158)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_transfer__int__nat__sum__prod_I1_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_transfer__int__nat__sum__prod_I1_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12159) | ~class_Groups_Ocomm__monoid__mult(_u12159) | ~c_Nat__Transfer_Onat__set(_u12160) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u12159), _u12161), _u12160) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12159), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u12159, tc_Nat_Onat), _u12161), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u12160))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u12162) | ~c_Nat__Transfer_Onat__set(_u12163) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u12162), _u12163) = 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), _u12162)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u12163)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_min__max_OSup__fin_Ohom__commute ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_min__max_OSup__fin_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u12166) | ( hAPP(_u12167, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12166), skolem273(_u12168, _u12167, _u12166)), skolem274(_u12168, _u12167, _u12166))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12166), hAPP(_u12167, skolem273(_u12168, _u12167, _u12166))), hAPP(_u12167, skolem274(_u12168, _u12167, _u12166)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12166), _u12168)) | ( _u12168 = c_Orderings_Obot__class_Obot(tc_fun(_u12166, tc_HOL_Obool))) | ( hAPP(_u12167, c_Big__Operators_Olattice_OSup__fin(_u12166, c_Orderings_Oord__class_Omax(_u12166), _u12168)) = c_Big__Operators_Olattice_OSup__fin(_u12166, c_Orderings_Oord__class_Omax(_u12166), hAPP(c_Set_Oimage(_u12166, _u12166, _u12167), _u12168))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_min__max_OInf__fin_Ohom__commute ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_min__max_OInf__fin_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u12171) | ( hAPP(_u12172, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12171), skolem275(_u12173, _u12172, _u12171)), skolem276(_u12173, _u12172, _u12171))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12171), hAPP(_u12172, skolem275(_u12173, _u12172, _u12171))), hAPP(_u12172, skolem276(_u12173, _u12172, _u12171)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12171), _u12173)) | ( _u12173 = c_Orderings_Obot__class_Obot(tc_fun(_u12171, tc_HOL_Obool))) | ( hAPP(_u12172, c_Big__Operators_Olattice_OInf__fin(_u12171, c_Orderings_Oord__class_Omin(_u12171), _u12173)) = c_Big__Operators_Olattice_OInf__fin(_u12171, c_Orderings_Oord__class_Omin(_u12171), hAPP(c_Set_Oimage(_u12171, _u12171, _u12172), _u12173))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Max_Ohom__commute ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Max_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u12176) | ( hAPP(_u12177, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12176), skolem277(_u12178, _u12177, _u12176)), skolem278(_u12178, _u12177, _u12176))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12176), hAPP(_u12177, skolem277(_u12178, _u12177, _u12176))), hAPP(_u12177, skolem278(_u12178, _u12177, _u12176)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12176), _u12178)) | ( _u12178 = c_Orderings_Obot__class_Obot(tc_fun(_u12176, tc_HOL_Obool))) | ( hAPP(_u12177, c_Big__Operators_Olinorder__class_OMax(_u12176, _u12178)) = c_Big__Operators_Olinorder__class_OMax(_u12176, hAPP(c_Set_Oimage(_u12176, _u12176, _u12177), _u12178))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Min_Ohom__commute ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Min_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u12181) | ( hAPP(_u12182, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12181), skolem279(_u12183, _u12182, _u12181)), skolem280(_u12183, _u12182, _u12181))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12181), hAPP(_u12182, skolem279(_u12183, _u12182, _u12181))), hAPP(_u12182, skolem280(_u12183, _u12182, _u12181)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12181), _u12183)) | ( _u12183 = c_Orderings_Obot__class_Obot(tc_fun(_u12181, tc_HOL_Obool))) | ( hAPP(_u12182, c_Big__Operators_Olinorder__class_OMin(_u12181, _u12183)) = c_Big__Operators_Olinorder__class_OMin(_u12181, hAPP(c_Set_Oimage(_u12181, _u12181, _u12182), _u12183))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Inf__fin_Ohom__commute ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Inf__fin_Ohom__commute-1, axiom, ( ~class_Lattices_Olattice(_u12186) | ( hAPP(_u12187, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12186), skolem281(_u12188, _u12187, _u12186)), skolem282(_u12188, _u12187, _u12186))) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12186), hAPP(_u12187, skolem281(_u12188, _u12187, _u12186))), hAPP(_u12187, skolem282(_u12188, _u12187, _u12186)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12186), _u12188)) | ( _u12188 = c_Orderings_Obot__class_Obot(tc_fun(_u12186, tc_HOL_Obool))) | ( hAPP(_u12187, c_Big__Operators_Olattice__class_OInf__fin(_u12186, _u12188)) = c_Big__Operators_Olattice__class_OInf__fin(_u12186, hAPP(c_Set_Oimage(_u12186, _u12186, _u12187), _u12188))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Sup__fin_Ohom__commute ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Sup__fin_Ohom__commute-1, axiom, ( ~class_Lattices_Olattice(_u12191) | ( hAPP(_u12192, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12191), skolem283(_u12193, _u12192, _u12191)), skolem284(_u12193, _u12192, _u12191))) != hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12191), hAPP(_u12192, skolem283(_u12193, _u12192, _u12191))), hAPP(_u12192, skolem284(_u12193, _u12192, _u12191)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12191), _u12193)) | ( _u12193 = c_Orderings_Obot__class_Obot(tc_fun(_u12191, tc_HOL_Obool))) | ( hAPP(_u12192, c_Big__Operators_Olattice__class_OSup__fin(_u12191, _u12193)) = c_Big__Operators_Olattice__class_OSup__fin(_u12191, hAPP(c_Set_Oimage(_u12191, _u12191, _u12192), _u12193))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_hom__fold1__commute ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_hom__fold1__commute-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u12196) | ( hAPP(_u12197, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12196), skolem285(_u12198, _u12197, _u12196)), skolem286(_u12198, _u12197, _u12196))) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12196), hAPP(_u12197, skolem285(_u12198, _u12197, _u12196))), hAPP(_u12197, skolem286(_u12198, _u12197, _u12196)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12196), _u12198)) | ( _u12198 = c_Orderings_Obot__class_Obot(tc_fun(_u12196, tc_HOL_Obool))) | ( hAPP(_u12197, hAPP(c_Finite__Set_Ofold1(_u12196, c_Groups_Otimes__class_Otimes(_u12196)), _u12198)) = hAPP(c_Finite__Set_Ofold1(_u12196, c_Groups_Otimes__class_Otimes(_u12196)), hAPP(c_Set_Oimage(_u12196, _u12196, _u12197), _u12198))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_escape ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_escape-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u12202, _u12203, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u12202)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u12202), _u12201), _u12204), _u12205)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u12202), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u12201, skolem287(_u12205, _u12204, _u12203, _u12202, _u12201)), skolem288(_u12205, _u12204, _u12203, _u12202, _u12201))) )).
% 20.36/20.56 cnf(fact_escape-2, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u12202, _u12203, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u12202)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u12202), _u12201), _u12204), _u12205)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u12202), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u12202, _u12203, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u12202)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u12202), hAPP(c_COMBK(tc_fun(tc_Com_Ostate, tc_HOL_Obool), _u12202), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ostate, tc_HOL_Obool), c_fequal), skolem288(_u12205, _u12204, _u12203, _u12202, _u12201)))), _u12204), hAPP(c_COMBK(tc_fun(tc_Com_Ostate, tc_HOL_Obool), _u12202), hAPP(_u12205, skolem287(_u12205, _u12204, _u12203, _u12202, _u12201))))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u12202), tc_HOL_Obool)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_transfer__nat__int__sum__prod__cong_I2_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_transfer__nat__int__sum__prod__cong_I2_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12207) | ~class_Groups_Ocomm__monoid__mult(_u12207) | ( _u12208 != _u12209) | ~c_Nat__Transfer_Onat__set(_u12209) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u12207), _u12210), _u12208) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u12207), _u12211), _u12209)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem289(_u12211, _u12210, _u12209, _u12208, _u12207))) )).
% 20.36/20.56 cnf(fact_transfer__nat__int__sum__prod__cong_I2_J-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12207) | ~class_Groups_Ocomm__monoid__mult(_u12207) | ( _u12208 != _u12209) | ~c_Nat__Transfer_Onat__set(_u12209) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u12207), _u12210), _u12208) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u12207), _u12211), _u12209)) | ( hAPP(_u12210, skolem289(_u12211, _u12210, _u12209, _u12208, _u12207)) != hAPP(_u12211, skolem289(_u12211, _u12210, _u12209, _u12208, _u12207))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_transfer__nat__int__sum__prod__cong_I1_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_transfer__nat__int__sum__prod__cong_I1_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12213) | ~class_Groups_Ocomm__monoid__mult(_u12213) | ( _u12214 != _u12215) | ~c_Nat__Transfer_Onat__set(_u12215) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u12213), _u12216), _u12214) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u12213), _u12217), _u12215)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem290(_u12217, _u12216, _u12215, _u12214, _u12213))) )).
% 20.36/20.56 cnf(fact_transfer__nat__int__sum__prod__cong_I1_J-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12213) | ~class_Groups_Ocomm__monoid__mult(_u12213) | ( _u12214 != _u12215) | ~c_Nat__Transfer_Onat__set(_u12215) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u12213), _u12216), _u12214) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u12213), _u12217), _u12215)) | ( hAPP(_u12216, skolem290(_u12217, _u12216, _u12215, _u12214, _u12213)) != hAPP(_u12217, skolem290(_u12217, _u12216, _u12215, _u12214, _u12213))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_accp__acc__eq ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_accp__acc__eq-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u12221, hAPP(hAPP(c_COMBC(_u12221, tc_fun(tc_prod(_u12221, _u12221), tc_HOL_Obool), tc_fun(_u12221, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12221, tc_fun(tc_fun(tc_prod(_u12221, _u12221), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12221, _u12221), tc_HOL_Obool), tc_fun(_u12221, tc_HOL_Obool)), _u12221), c_COMBC(_u12221, tc_fun(tc_prod(_u12221, _u12221), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12221, tc_prod(_u12221, _u12221)), tc_fun(_u12221, tc_fun(tc_fun(tc_prod(_u12221, _u12221), tc_HOL_Obool), tc_HOL_Obool)), _u12221), hAPP(c_COMBB(tc_prod(_u12221, _u12221), tc_fun(tc_fun(tc_prod(_u12221, _u12221), tc_HOL_Obool), tc_HOL_Obool), _u12221), c_member(tc_prod(_u12221, _u12221)))), c_Product__Type_OPair(_u12221, _u12221)))), _u12223)), _u12225)) | hBOOL(hAPP(hAPP(c_member(_u12221), _u12225), c_Wellfounded_Oacc(_u12221, _u12223))) )).
% 20.36/20.56 cnf(fact_accp__acc__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12222), _u12226), c_Wellfounded_Oacc(_u12222, _u12224))) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u12222, hAPP(hAPP(c_COMBC(_u12222, tc_fun(tc_prod(_u12222, _u12222), tc_HOL_Obool), tc_fun(_u12222, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12222, tc_fun(tc_fun(tc_prod(_u12222, _u12222), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12222, _u12222), tc_HOL_Obool), tc_fun(_u12222, tc_HOL_Obool)), _u12222), c_COMBC(_u12222, tc_fun(tc_prod(_u12222, _u12222), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12222, tc_prod(_u12222, _u12222)), tc_fun(_u12222, tc_fun(tc_fun(tc_prod(_u12222, _u12222), tc_HOL_Obool), tc_HOL_Obool)), _u12222), hAPP(c_COMBB(tc_prod(_u12222, _u12222), tc_fun(tc_fun(tc_prod(_u12222, _u12222), tc_HOL_Obool), tc_HOL_Obool), _u12222), c_member(tc_prod(_u12222, _u12222)))), c_Product__Type_OPair(_u12222, _u12222)))), _u12224)), _u12226)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_max__extp_Oequations ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_max__extp_Oequations-1, axiom, ( ~c_Wellfounded_Omax__extp(_u12235, _u12237, _u12239, _u12241) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12235), _u12239)) )).
% 20.36/20.56 cnf(fact_max__extp_Oequations-2, axiom, ( ~c_Wellfounded_Omax__extp(_u12235, _u12237, _u12239, _u12241) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12235), _u12241)) )).
% 20.36/20.56 cnf(fact_max__extp_Oequations-3, axiom, ( ~c_Wellfounded_Omax__extp(_u12235, _u12237, _u12239, _u12241) | ( _u12241 != c_Orderings_Obot__class_Obot(tc_fun(_u12235, tc_HOL_Obool))) )).
% 20.36/20.56 cnf(fact_max__extp_Oequations-4, axiom, ( ~c_Wellfounded_Omax__extp(_u12235, _u12237, _u12239, _u12241) | ~hBOOL(hAPP(hAPP(c_member(_u12235), _u12228), _u12239)) | hBOOL(hAPP(hAPP(c_member(_u12235), skolem291(_u12241, _u12239, _u12237, _u12235, _u12228)), _u12241)) )).
% 20.36/20.56 cnf(fact_max__extp_Oequations-5, axiom, ( ~c_Wellfounded_Omax__extp(_u12235, _u12237, _u12239, _u12241) | ~hBOOL(hAPP(hAPP(c_member(_u12235), _u12228), _u12239)) | hBOOL(hAPP(hAPP(_u12237, _u12228), skolem291(_u12241, _u12239, _u12237, _u12235, _u12228))) )).
% 20.36/20.56 cnf(fact_max__extp_Oequations-6, axiom, ( c_Wellfounded_Omax__extp(_u12236, _u12238, _u12240, _u12242) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12236), _u12240)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12236), _u12242)) | ( _u12242 = c_Orderings_Obot__class_Obot(tc_fun(_u12236, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u12236), skolem292(_u12242, _u12240, _u12238, _u12236)), _u12240)) )).
% 20.36/20.56 cnf(fact_max__extp_Oequations-7, axiom, ( c_Wellfounded_Omax__extp(_u12236, _u12238, _u12240, _u12242) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12236), _u12240)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12236), _u12242)) | ( _u12242 = c_Orderings_Obot__class_Obot(tc_fun(_u12236, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u12236), _u12229), _u12242)) | ~hBOOL(hAPP(hAPP(_u12238, skolem292(_u12242, _u12240, _u12238, _u12236)), _u12229)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_acc__subset ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_acc__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12243, _u12243), tc_HOL_Obool)), _u12244), _u12245)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12243, tc_HOL_Obool)), c_Wellfounded_Oacc(_u12243, _u12245)), c_Wellfounded_Oacc(_u12243, _u12244))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_acc__downward ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_acc__downward-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12246), _u12247), c_Wellfounded_Oacc(_u12246, _u12248))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12246, _u12246)), hAPP(hAPP(c_Product__Type_OPair(_u12246, _u12246), _u12249), _u12247)), _u12248)) | hBOOL(hAPP(hAPP(c_member(_u12246), _u12249), c_Wellfounded_Oacc(_u12246, _u12248))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_acc_Osimps ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_acc_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12255), _u12257), c_Wellfounded_Oacc(_u12255, _u12259))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12255, _u12255)), hAPP(hAPP(c_Product__Type_OPair(_u12255, _u12255), _u12250), _u12257)), _u12259)) | hBOOL(hAPP(hAPP(c_member(_u12255), _u12250), c_Wellfounded_Oacc(_u12255, _u12259))) )).
% 20.36/20.56 cnf(fact_acc_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12256), _u12258), c_Wellfounded_Oacc(_u12256, _u12260))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12256, _u12256)), hAPP(hAPP(c_Product__Type_OPair(_u12256, _u12256), skolem293(_u12260, _u12258, _u12256)), _u12258)), _u12260)) )).
% 20.36/20.56 cnf(fact_acc_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12256), _u12258), c_Wellfounded_Oacc(_u12256, _u12260))) | ~hBOOL(hAPP(hAPP(c_member(_u12256), skolem293(_u12260, _u12258, _u12256)), c_Wellfounded_Oacc(_u12256, _u12260))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_inj__on__Inter ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_inj__on__Inter-1, axiom, ( ( _u12262 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u12263, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u12263, _u12264, _u12265, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u12263, tc_HOL_Obool), _u12262)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u12263, tc_HOL_Obool)), skolem294(_u12265, _u12264, _u12263, _u12262)), _u12262)) )).
% 20.36/20.56 cnf(fact_inj__on__Inter-2, axiom, ( ( _u12262 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u12263, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u12263, _u12264, _u12265, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u12263, tc_HOL_Obool), _u12262)) | ~c_Fun_Oinj__on(_u12263, _u12264, _u12265, skolem294(_u12265, _u12264, _u12263, _u12262)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_image__split__eq__Sigma ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_image__split__eq__Sigma-1, axiom, ( ( hAPP(c_Set_Oimage(_u12266, tc_prod(_u12267, _u12268), hAPP(hAPP(c_COMBS(_u12266, _u12268, tc_prod(_u12267, _u12268)), hAPP(hAPP(c_COMBB(_u12267, tc_fun(_u12268, tc_prod(_u12267, _u12268)), _u12266), c_Product__Type_OPair(_u12267, _u12268)), _u12269)), _u12270)), _u12271) = hAPP(hAPP(c_Product__Type_OSigma(_u12267, _u12268), hAPP(c_Set_Oimage(_u12266, _u12267, _u12269), _u12271)), hAPP(hAPP(c_COMBB(tc_fun(_u12266, tc_HOL_Obool), tc_fun(_u12268, tc_HOL_Obool), _u12267), c_Set_Oimage(_u12266, _u12268, _u12270)), hAPP(hAPP(c_COMBC(_u12267, tc_fun(_u12266, tc_HOL_Obool), tc_fun(_u12266, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12266, tc_HOL_Obool), tc_fun(tc_fun(_u12266, tc_HOL_Obool), tc_fun(_u12266, tc_HOL_Obool)), _u12267), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12266, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12267, tc_HOL_Obool), tc_fun(_u12266, tc_HOL_Obool), _u12267), c_Set_Ovimage(_u12266, _u12267, _u12269)), hAPP(hAPP(c_COMBC(_u12267, tc_fun(_u12267, tc_HOL_Obool), tc_fun(_u12267, tc_HOL_Obool)), c_Set_Oinsert(_u12267)), c_Orderings_Obot__class_Obot(tc_fun(_u12267, tc_HOL_Obool)))))), _u12271)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_folding__one__idem_Ohom__commute ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_folding__one__idem_Ohom__commute-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u12274, _u12275, _u12276) | ( hAPP(_u12277, hAPP(hAPP(_u12275, skolem295(_u12278, _u12277, _u12276, _u12275, _u12274)), skolem296(_u12278, _u12277, _u12276, _u12275, _u12274))) != hAPP(hAPP(_u12275, hAPP(_u12277, skolem295(_u12278, _u12277, _u12276, _u12275, _u12274))), hAPP(_u12277, skolem296(_u12278, _u12277, _u12276, _u12275, _u12274)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12274), _u12278)) | ( _u12278 = c_Orderings_Obot__class_Obot(tc_fun(_u12274, tc_HOL_Obool))) | ( hAPP(_u12277, hAPP(_u12276, _u12278)) = hAPP(_u12276, hAPP(c_Set_Oimage(_u12274, _u12274, _u12277), _u12278))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_SigmaI ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_SigmaI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12279), _u12280), _u12281)) | ~hBOOL(hAPP(hAPP(c_member(_u12282), _u12283), hAPP(_u12284, _u12280))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12279, _u12282)), hAPP(hAPP(c_Product__Type_OPair(_u12279, _u12282), _u12280), _u12283)), hAPP(hAPP(c_Product__Type_OSigma(_u12279, _u12282), _u12281), _u12284))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Sigma__Union ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Sigma__Union-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12285, _u12286), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u12285, tc_HOL_Obool), _u12287)), _u12288) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u12285, tc_HOL_Obool), tc_fun(tc_prod(_u12285, _u12286), tc_HOL_Obool)), _u12287), hAPP(hAPP(c_COMBC(tc_fun(_u12285, tc_HOL_Obool), tc_fun(_u12285, tc_fun(_u12286, tc_HOL_Obool)), tc_fun(tc_prod(_u12285, _u12286), tc_HOL_Obool)), c_Product__Type_OSigma(_u12285, _u12286)), _u12288))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Sigma__empty1 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Sigma__empty1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12289, _u12290), c_Orderings_Obot__class_Obot(tc_fun(_u12289, tc_HOL_Obool))), _u12291) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12289, _u12290), tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Sigma__Diff__distrib2 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Sigma__Diff__distrib2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12292, _u12293), _u12294), hAPP(hAPP(c_COMBS(_u12292, tc_fun(_u12293, tc_HOL_Obool), tc_fun(_u12293, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12293, tc_HOL_Obool), tc_fun(tc_fun(_u12293, tc_HOL_Obool), tc_fun(_u12293, tc_HOL_Obool)), _u12292), c_Groups_Ominus__class_Ominus(tc_fun(_u12293, tc_HOL_Obool))), _u12295)), _u12296)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12292, _u12293), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12292, _u12293), _u12294), _u12295)), hAPP(hAPP(c_Product__Type_OSigma(_u12292, _u12293), _u12294), _u12296))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Times__Diff__distrib1 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Times__Diff__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12297, _u12298), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12297, tc_HOL_Obool)), _u12299), _u12300)), hAPP(c_COMBK(tc_fun(_u12298, tc_HOL_Obool), _u12297), _u12301)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12297, _u12298), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12297, _u12298), _u12299), hAPP(c_COMBK(tc_fun(_u12298, tc_HOL_Obool), _u12297), _u12301))), hAPP(hAPP(c_Product__Type_OSigma(_u12297, _u12298), _u12300), hAPP(c_COMBK(tc_fun(_u12298, tc_HOL_Obool), _u12297), _u12301)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Sigma__Diff__distrib1 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Sigma__Diff__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12302, _u12303), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12302, tc_HOL_Obool)), _u12304), _u12305)), _u12306) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12302, _u12303), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12302, _u12303), _u12304), _u12306)), hAPP(hAPP(c_Product__Type_OSigma(_u12302, _u12303), _u12305), _u12306))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Times__eq__cancel2 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Times__eq__cancel2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12307), _u12308), _u12309)) | ( hAPP(hAPP(c_Product__Type_OSigma(_u12310, _u12307), _u12311), hAPP(c_COMBK(tc_fun(_u12307, tc_HOL_Obool), _u12310), _u12309)) != hAPP(hAPP(c_Product__Type_OSigma(_u12310, _u12307), _u12312), hAPP(c_COMBK(tc_fun(_u12307, tc_HOL_Obool), _u12310), _u12309))) | ( _u12311 = _u12312) )).
% 20.36/20.56 cnf(fact_Times__eq__cancel2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12307), _u12308), _u12309)) | ( _u12311 != _u12312) | ( hAPP(hAPP(c_Product__Type_OSigma(_u12310, _u12307), _u12311), hAPP(c_COMBK(tc_fun(_u12307, tc_HOL_Obool), _u12310), _u12309)) = hAPP(hAPP(c_Product__Type_OSigma(_u12310, _u12307), _u12312), hAPP(c_COMBK(tc_fun(_u12307, tc_HOL_Obool), _u12310), _u12309))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_card__cartesian__product ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_card__cartesian__product-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u12313, _u12314)), hAPP(hAPP(c_Product__Type_OSigma(_u12313, _u12314), _u12315), hAPP(c_COMBK(tc_fun(_u12314, tc_HOL_Obool), _u12313), _u12316))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12313), _u12315)), hAPP(c_Finite__Set_Ocard(_u12314), _u12316))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_setsum__cartesian__product ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_setsum__cartesian__product-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12317) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12318, _u12317), hAPP(hAPP(c_COMBC(_u12318, tc_fun(_u12319, tc_HOL_Obool), _u12317), hAPP(hAPP(c_COMBB(tc_fun(_u12319, _u12317), tc_fun(tc_fun(_u12319, tc_HOL_Obool), _u12317), _u12318), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12319, _u12317)), _u12320)), _u12321)), _u12322) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u12318, _u12319), _u12317), hAPP(c_Product__Type_Oprod_Oprod__case(_u12318, _u12319, _u12317), _u12320)), hAPP(hAPP(c_Product__Type_OSigma(_u12318, _u12319), _u12322), hAPP(c_COMBK(tc_fun(_u12319, tc_HOL_Obool), _u12318), _u12321)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Times__empty ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Times__empty-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12327, _u12329), _u12331), hAPP(c_COMBK(tc_fun(_u12329, tc_HOL_Obool), _u12327), _u12333)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12327, _u12329), tc_HOL_Obool))) | ( _u12331 = c_Orderings_Obot__class_Obot(tc_fun(_u12327, tc_HOL_Obool))) | ( _u12333 = c_Orderings_Obot__class_Obot(tc_fun(_u12329, tc_HOL_Obool))) )).
% 20.36/20.56 cnf(fact_Times__empty-2, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12328, _u12330), _u12332), hAPP(c_COMBK(tc_fun(_u12330, tc_HOL_Obool), _u12328), _u12334)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12328, _u12330), tc_HOL_Obool))) | ( _u12332 != c_Orderings_Obot__class_Obot(tc_fun(_u12328, tc_HOL_Obool))) )).
% 20.36/20.56 cnf(fact_Times__empty-3, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12328, _u12330), _u12332), hAPP(c_COMBK(tc_fun(_u12330, tc_HOL_Obool), _u12328), _u12334)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12328, _u12330), tc_HOL_Obool))) | ( _u12334 != c_Orderings_Obot__class_Obot(tc_fun(_u12330, tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Sigma__empty2 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Sigma__empty2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12335, _u12336), _u12337), hAPP(c_COMBK(tc_fun(_u12336, tc_HOL_Obool), _u12335), c_Orderings_Obot__class_Obot(tc_fun(_u12336, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12335, _u12336), tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Compl__Times__UNIV1 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Compl__Times__UNIV1-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u12338, _u12339), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12338, _u12339), c_Orderings_Otop__class_Otop(tc_fun(_u12338, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u12339, tc_HOL_Obool), _u12338), _u12340))) = hAPP(hAPP(c_Product__Type_OSigma(_u12338, _u12339), c_Orderings_Otop__class_Otop(tc_fun(_u12338, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u12339, tc_HOL_Obool), _u12338), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12339, tc_HOL_Obool)), _u12340)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Compl__Times__UNIV2 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Compl__Times__UNIV2-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u12341, _u12342), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12341, _u12342), _u12343), hAPP(c_COMBK(tc_fun(_u12342, tc_HOL_Obool), _u12341), c_Orderings_Otop__class_Otop(tc_fun(_u12342, tc_HOL_Obool))))) = hAPP(hAPP(c_Product__Type_OSigma(_u12341, _u12342), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12341, tc_HOL_Obool)), _u12343)), hAPP(c_COMBK(tc_fun(_u12342, tc_HOL_Obool), _u12341), c_Orderings_Otop__class_Otop(tc_fun(_u12342, tc_HOL_Obool))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_setprod__cartesian__product ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_setprod__cartesian__product-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12344) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12345, _u12344), hAPP(hAPP(c_COMBC(_u12345, tc_fun(_u12346, tc_HOL_Obool), _u12344), hAPP(hAPP(c_COMBB(tc_fun(_u12346, _u12344), tc_fun(tc_fun(_u12346, tc_HOL_Obool), _u12344), _u12345), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12346, _u12344)), _u12347)), _u12348)), _u12349) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u12345, _u12346), _u12344), hAPP(c_Product__Type_Oprod_Oprod__case(_u12345, _u12346, _u12344), _u12347)), hAPP(hAPP(c_Product__Type_OSigma(_u12345, _u12346), _u12349), hAPP(c_COMBK(tc_fun(_u12346, tc_HOL_Obool), _u12345), _u12348)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Sigma__Un__distrib1 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Sigma__Un__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12350, _u12351), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12350, tc_HOL_Obool)), _u12352), _u12353)), _u12354) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12350, _u12351), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12350, _u12351), _u12352), _u12354)), hAPP(hAPP(c_Product__Type_OSigma(_u12350, _u12351), _u12353), _u12354))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Times__Un__distrib1 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Times__Un__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12355, _u12356), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12355, tc_HOL_Obool)), _u12357), _u12358)), hAPP(c_COMBK(tc_fun(_u12356, tc_HOL_Obool), _u12355), _u12359)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12355, _u12356), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12355, _u12356), _u12357), hAPP(c_COMBK(tc_fun(_u12356, tc_HOL_Obool), _u12355), _u12359))), hAPP(hAPP(c_Product__Type_OSigma(_u12355, _u12356), _u12358), hAPP(c_COMBK(tc_fun(_u12356, tc_HOL_Obool), _u12355), _u12359)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Sigma__Un__distrib2 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Sigma__Un__distrib2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12360, _u12361), _u12362), hAPP(hAPP(c_COMBS(_u12360, tc_fun(_u12361, tc_HOL_Obool), tc_fun(_u12361, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12361, tc_HOL_Obool), tc_fun(tc_fun(_u12361, tc_HOL_Obool), tc_fun(_u12361, tc_HOL_Obool)), _u12360), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12361, tc_HOL_Obool))), _u12363)), _u12364)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12360, _u12361), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12360, _u12361), _u12362), _u12363)), hAPP(hAPP(c_Product__Type_OSigma(_u12360, _u12361), _u12362), _u12364))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_swap__product ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_swap__product-1, axiom, ( ( hAPP(c_Set_Oimage(tc_prod(_u12365, _u12366), tc_prod(_u12366, _u12365), hAPP(c_Product__Type_Oprod_Oprod__case(_u12365, _u12366, tc_prod(_u12366, _u12365)), hAPP(c_COMBC(_u12366, _u12365, tc_prod(_u12366, _u12365)), c_Product__Type_OPair(_u12366, _u12365)))), hAPP(hAPP(c_Product__Type_OSigma(_u12365, _u12366), _u12367), hAPP(c_COMBK(tc_fun(_u12366, tc_HOL_Obool), _u12365), _u12368))) = hAPP(hAPP(c_Product__Type_OSigma(_u12366, _u12365), _u12368), hAPP(c_COMBK(tc_fun(_u12365, tc_HOL_Obool), _u12366), _u12367))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_finite__cartesian__product ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_finite__cartesian__product-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12369), _u12370)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12371), _u12372)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12369, _u12371)), hAPP(hAPP(c_Product__Type_OSigma(_u12369, _u12371), _u12370), hAPP(c_COMBK(tc_fun(_u12371, tc_HOL_Obool), _u12369), _u12372)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_equiv__type ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_equiv__type-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12373, _u12374, _u12375) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12373, _u12373), tc_HOL_Obool)), _u12375), hAPP(hAPP(c_Product__Type_OSigma(_u12373, _u12373), _u12374), hAPP(c_COMBK(tc_fun(_u12373, tc_HOL_Obool), _u12373), _u12374)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Sigma__Int__distrib2 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Sigma__Int__distrib2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12376, _u12377), _u12378), hAPP(hAPP(c_COMBS(_u12376, tc_fun(_u12377, tc_HOL_Obool), tc_fun(_u12377, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12377, tc_HOL_Obool), tc_fun(tc_fun(_u12377, tc_HOL_Obool), tc_fun(_u12377, tc_HOL_Obool)), _u12376), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12377, tc_HOL_Obool))), _u12379)), _u12380)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12376, _u12377), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12376, _u12377), _u12378), _u12379)), hAPP(hAPP(c_Product__Type_OSigma(_u12376, _u12377), _u12378), _u12380))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Times__Int__distrib1 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Times__Int__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12381, _u12382), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12381, tc_HOL_Obool)), _u12383), _u12384)), hAPP(c_COMBK(tc_fun(_u12382, tc_HOL_Obool), _u12381), _u12385)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12381, _u12382), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12381, _u12382), _u12383), hAPP(c_COMBK(tc_fun(_u12382, tc_HOL_Obool), _u12381), _u12385))), hAPP(hAPP(c_Product__Type_OSigma(_u12381, _u12382), _u12384), hAPP(c_COMBK(tc_fun(_u12382, tc_HOL_Obool), _u12381), _u12385)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Sigma__Int__distrib1 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Sigma__Int__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12386, _u12387), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12386, tc_HOL_Obool)), _u12388), _u12389)), _u12390) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12386, _u12387), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12386, _u12387), _u12388), _u12390)), hAPP(hAPP(c_Product__Type_OSigma(_u12386, _u12387), _u12389), _u12390))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Id__on__subset__Times ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Id__on__subset__Times-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12391, _u12391), tc_HOL_Obool)), c_Relation_OId__on(_u12391, _u12392)), hAPP(hAPP(c_Product__Type_OSigma(_u12391, _u12391), _u12392), hAPP(c_COMBK(tc_fun(_u12391, tc_HOL_Obool), _u12391), _u12392)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_UNIV__Times__UNIV ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_UNIV__Times__UNIV-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12393, _u12394), c_Orderings_Otop__class_Otop(tc_fun(_u12393, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u12394, tc_HOL_Obool), _u12393), c_Orderings_Otop__class_Otop(tc_fun(_u12394, tc_HOL_Obool)))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u12393, _u12394), tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_SigmaE2 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_SigmaE2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12395, _u12396)), hAPP(hAPP(c_Product__Type_OPair(_u12395, _u12396), _u12397), _u12398)), hAPP(hAPP(c_Product__Type_OSigma(_u12395, _u12396), _u12399), _u12400))) | hBOOL(hAPP(hAPP(c_member(_u12395), _u12397), _u12399)) )).
% 20.36/20.56 cnf(fact_SigmaE2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12395, _u12396)), hAPP(hAPP(c_Product__Type_OPair(_u12395, _u12396), _u12397), _u12398)), hAPP(hAPP(c_Product__Type_OSigma(_u12395, _u12396), _u12399), _u12400))) | hBOOL(hAPP(hAPP(c_member(_u12396), _u12398), hAPP(_u12400, _u12397))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_SigmaD2 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_SigmaD2-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12402), _u12404), hAPP(_u12406, _u12403))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12401, _u12402)), hAPP(hAPP(c_Product__Type_OPair(_u12401, _u12402), _u12403), _u12404)), hAPP(hAPP(c_Product__Type_OSigma(_u12401, _u12402), _u12405), _u12406))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_SigmaD1 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_SigmaD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12407, _u12408)), hAPP(hAPP(c_Product__Type_OPair(_u12407, _u12408), _u12409), _u12410)), hAPP(hAPP(c_Product__Type_OSigma(_u12407, _u12408), _u12411), _u12412))) | hBOOL(hAPP(hAPP(c_member(_u12407), _u12409), _u12411)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_mem__Sigma__iff ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_mem__Sigma__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12419, _u12421)), hAPP(hAPP(c_Product__Type_OPair(_u12419, _u12421), _u12423), _u12425)), hAPP(hAPP(c_Product__Type_OSigma(_u12419, _u12421), _u12427), _u12429))) | hBOOL(hAPP(hAPP(c_member(_u12419), _u12423), _u12427)) )).
% 20.36/20.56 cnf(fact_mem__Sigma__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12419, _u12421)), hAPP(hAPP(c_Product__Type_OPair(_u12419, _u12421), _u12423), _u12425)), hAPP(hAPP(c_Product__Type_OSigma(_u12419, _u12421), _u12427), _u12429))) | hBOOL(hAPP(hAPP(c_member(_u12421), _u12425), hAPP(_u12429, _u12423))) )).
% 20.36/20.56 cnf(fact_mem__Sigma__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12420), _u12424), _u12428)) | ~hBOOL(hAPP(hAPP(c_member(_u12422), _u12426), hAPP(_u12430, _u12424))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12420, _u12422)), hAPP(hAPP(c_Product__Type_OPair(_u12420, _u12422), _u12424), _u12426)), hAPP(hAPP(c_Product__Type_OSigma(_u12420, _u12422), _u12428), _u12430))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_card__cartesian__product__singleton ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_card__cartesian__product__singleton-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u12431, _u12432)), hAPP(hAPP(c_Product__Type_OSigma(_u12431, _u12432), hAPP(hAPP(c_Set_Oinsert(_u12431), _u12433), c_Orderings_Obot__class_Obot(tc_fun(_u12431, tc_HOL_Obool)))), hAPP(c_COMBK(tc_fun(_u12432, tc_HOL_Obool), _u12431), _u12434))) = hAPP(c_Finite__Set_Ocard(_u12432), _u12434)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Times__subset__cancel2 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Times__subset__cancel2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12435), _u12436), _u12437)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12438, _u12435), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12438, _u12435), _u12439), hAPP(c_COMBK(tc_fun(_u12435, tc_HOL_Obool), _u12438), _u12437))), hAPP(hAPP(c_Product__Type_OSigma(_u12438, _u12435), _u12440), hAPP(c_COMBK(tc_fun(_u12435, tc_HOL_Obool), _u12438), _u12437)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12438, tc_HOL_Obool)), _u12439), _u12440)) )).
% 20.36/20.56 cnf(fact_Times__subset__cancel2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12435), _u12436), _u12437)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12438, tc_HOL_Obool)), _u12439), _u12440)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12438, _u12435), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12438, _u12435), _u12439), hAPP(c_COMBK(tc_fun(_u12435, tc_HOL_Obool), _u12438), _u12437))), hAPP(hAPP(c_Product__Type_OSigma(_u12438, _u12435), _u12440), hAPP(c_COMBK(tc_fun(_u12435, tc_HOL_Obool), _u12438), _u12437)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Image__subset ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Image__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12441, _u12442), tc_HOL_Obool)), _u12443), hAPP(hAPP(c_Product__Type_OSigma(_u12441, _u12442), _u12444), hAPP(c_COMBK(tc_fun(_u12442, tc_HOL_Obool), _u12441), _u12445)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12442, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12441, _u12442, _u12443), _u12446)), _u12445)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_finite__cartesian__productD2 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_finite__cartesian__productD2-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12447, _u12448)), hAPP(hAPP(c_Product__Type_OSigma(_u12447, _u12448), _u12449), hAPP(c_COMBK(tc_fun(_u12448, tc_HOL_Obool), _u12447), _u12450)))) | ( _u12449 = c_Orderings_Obot__class_Obot(tc_fun(_u12447, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12448), _u12450)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_finite__cartesian__productD1 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_finite__cartesian__productD1-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12451, _u12452)), hAPP(hAPP(c_Product__Type_OSigma(_u12451, _u12452), _u12453), hAPP(c_COMBK(tc_fun(_u12452, tc_HOL_Obool), _u12451), _u12454)))) | ( _u12454 = c_Orderings_Obot__class_Obot(tc_fun(_u12452, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12451), _u12453)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_fst__image__times ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_fst__image__times-1, axiom, ( ( _u12459 != c_Orderings_Obot__class_Obot(tc_fun(_u12461, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12463, _u12461), _u12463, c_Product__Type_Ofst(_u12463, _u12461)), hAPP(hAPP(c_Product__Type_OSigma(_u12463, _u12461), _u12465), hAPP(c_COMBK(tc_fun(_u12461, tc_HOL_Obool), _u12463), _u12459))) = c_Orderings_Obot__class_Obot(tc_fun(_u12463, tc_HOL_Obool))) )).
% 20.36/20.56 cnf(fact_fst__image__times-2, axiom, ( ( _u12460 = c_Orderings_Obot__class_Obot(tc_fun(_u12462, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12464, _u12462), _u12464, c_Product__Type_Ofst(_u12464, _u12462)), hAPP(hAPP(c_Product__Type_OSigma(_u12464, _u12462), _u12466), hAPP(c_COMBK(tc_fun(_u12462, tc_HOL_Obool), _u12464), _u12460))) = _u12466) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_snd__image__times ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_snd__image__times-1, axiom, ( ( _u12471 != c_Orderings_Obot__class_Obot(tc_fun(_u12473, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12473, _u12475), _u12475, c_Product__Type_Osnd(_u12473, _u12475)), hAPP(hAPP(c_Product__Type_OSigma(_u12473, _u12475), _u12471), hAPP(c_COMBK(tc_fun(_u12475, tc_HOL_Obool), _u12473), _u12477))) = c_Orderings_Obot__class_Obot(tc_fun(_u12475, tc_HOL_Obool))) )).
% 20.36/20.56 cnf(fact_snd__image__times-2, axiom, ( ( _u12472 = c_Orderings_Obot__class_Obot(tc_fun(_u12474, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12474, _u12476), _u12476, c_Product__Type_Osnd(_u12474, _u12476)), hAPP(hAPP(c_Product__Type_OSigma(_u12474, _u12476), _u12472), hAPP(c_COMBK(tc_fun(_u12476, tc_HOL_Obool), _u12474), _u12478))) = _u12478) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_insert__times__insert ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_insert__times__insert-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12479, _u12480), hAPP(hAPP(c_Set_Oinsert(_u12479), _u12481), _u12482)), hAPP(c_COMBK(tc_fun(_u12480, tc_HOL_Obool), _u12479), hAPP(hAPP(c_Set_Oinsert(_u12480), _u12483), _u12484))) = hAPP(hAPP(c_Set_Oinsert(tc_prod(_u12479, _u12480)), hAPP(hAPP(c_Product__Type_OPair(_u12479, _u12480), _u12481), _u12483)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12479, _u12480), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12479, _u12480), _u12482), hAPP(c_COMBK(tc_fun(_u12480, tc_HOL_Obool), _u12479), hAPP(hAPP(c_Set_Oinsert(_u12480), _u12483), _u12484)))), hAPP(hAPP(c_Product__Type_OSigma(_u12479, _u12480), hAPP(hAPP(c_Set_Oinsert(_u12479), _u12481), _u12482)), hAPP(c_COMBK(tc_fun(_u12480, tc_HOL_Obool), _u12479), _u12484))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_finite__equiv__class ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_finite__equiv__class-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12485), _u12486)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12485, _u12485), tc_HOL_Obool)), _u12487), hAPP(hAPP(c_Product__Type_OSigma(_u12485, _u12485), _u12486), hAPP(c_COMBK(tc_fun(_u12485, tc_HOL_Obool), _u12485), _u12486)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12485, tc_HOL_Obool)), _u12488), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12485), _u12486), _u12487))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12485), _u12488)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_UN__Times__distrib ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_UN__Times__distrib-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(_u12489, _u12490), tc_fun(tc_prod(_u12491, _u12492), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12489, _u12490), _u12493), hAPP(c_COMBK(tc_fun(_u12490, tc_HOL_Obool), _u12489), _u12494))), hAPP(c_Product__Type_Oprod_Oprod__case(_u12489, _u12490, tc_fun(tc_prod(_u12491, _u12492), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u12489, tc_fun(_u12490, tc_fun(_u12491, tc_fun(_u12492, tc_HOL_Obool))), tc_fun(_u12490, tc_fun(tc_prod(_u12491, _u12492), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12491, tc_fun(_u12492, tc_HOL_Obool)), tc_fun(tc_prod(_u12491, _u12492), tc_HOL_Obool)), tc_fun(tc_fun(_u12490, tc_fun(_u12491, tc_fun(_u12492, tc_HOL_Obool))), tc_fun(_u12490, tc_fun(tc_prod(_u12491, _u12492), tc_HOL_Obool))), _u12489), c_COMBB(tc_fun(_u12491, tc_fun(_u12492, tc_HOL_Obool)), tc_fun(tc_prod(_u12491, _u12492), tc_HOL_Obool), _u12490)), hAPP(hAPP(c_COMBB(tc_fun(_u12491, tc_HOL_Obool), tc_fun(tc_fun(_u12491, tc_fun(_u12492, tc_HOL_Obool)), tc_fun(tc_prod(_u12491, _u12492), tc_HOL_Obool)), _u12489), c_Product__Type_OSigma(_u12491, _u12492)), _u12495))), hAPP(hAPP(c_COMBB(tc_fun(_u12492, tc_HOL_Obool), tc_fun(_u12491, tc_fun(_u12492, tc_HOL_Obool)), _u12490), c_COMBK(tc_fun(_u12492, tc_HOL_Obool), _u12491)), _u12496)))) = hAPP(hAPP(c_Product__Type_OSigma(_u12491, _u12492), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12489, tc_fun(_u12491, tc_HOL_Obool)), _u12493), _u12495)), hAPP(c_COMBK(tc_fun(_u12492, tc_HOL_Obool), _u12491), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12490, tc_fun(_u12492, tc_HOL_Obool)), _u12494), _u12496)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Sigma__def ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Sigma__def-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12497, _u12498), _u12499), _u12500) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12497, tc_fun(tc_prod(_u12497, _u12498), tc_HOL_Obool)), _u12499), hAPP(hAPP(c_COMBS(_u12497, tc_fun(_u12498, tc_fun(tc_prod(_u12497, _u12498), tc_HOL_Obool)), tc_fun(tc_prod(_u12497, _u12498), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12498, tc_HOL_Obool), tc_fun(tc_fun(_u12498, tc_fun(tc_prod(_u12497, _u12498), tc_HOL_Obool)), tc_fun(tc_prod(_u12497, _u12498), tc_HOL_Obool)), _u12497), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12498, tc_fun(tc_prod(_u12497, _u12498), tc_HOL_Obool))), _u12500)), hAPP(hAPP(c_COMBC(_u12497, tc_fun(tc_prod(_u12497, _u12498), tc_HOL_Obool), tc_fun(_u12498, tc_fun(tc_prod(_u12497, _u12498), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12498, tc_fun(tc_fun(tc_prod(_u12497, _u12498), tc_HOL_Obool), tc_fun(tc_prod(_u12497, _u12498), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u12497, _u12498), tc_HOL_Obool), tc_fun(_u12498, tc_fun(tc_prod(_u12497, _u12498), tc_HOL_Obool))), _u12497), c_COMBC(_u12498, tc_fun(tc_prod(_u12497, _u12498), tc_HOL_Obool), tc_fun(tc_prod(_u12497, _u12498), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12498, tc_prod(_u12497, _u12498)), tc_fun(_u12498, tc_fun(tc_fun(tc_prod(_u12497, _u12498), tc_HOL_Obool), tc_fun(tc_prod(_u12497, _u12498), tc_HOL_Obool))), _u12497), hAPP(c_COMBB(tc_prod(_u12497, _u12498), tc_fun(tc_fun(tc_prod(_u12497, _u12498), tc_HOL_Obool), tc_fun(tc_prod(_u12497, _u12498), tc_HOL_Obool)), _u12498), c_Set_Oinsert(tc_prod(_u12497, _u12498)))), c_Product__Type_OPair(_u12497, _u12498)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12497, _u12498), tc_HOL_Obool)))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_finite__quotient ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_finite__quotient-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12501), _u12502)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12501, _u12501), tc_HOL_Obool)), _u12503), hAPP(hAPP(c_Product__Type_OSigma(_u12501, _u12501), _u12502), hAPP(c_COMBK(tc_fun(_u12501, tc_HOL_Obool), _u12501), _u12502)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u12501, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12501), _u12502), _u12503))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Ex__inj__on__UNION__Sigma ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Ex__inj__on__UNION__Sigma-1, axiom, ( c_Fun_Oinj__on(_u12505, tc_prod(_u12506, _u12505), skolem297(_u12508, _u12507, _u12506, _u12505), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12506, tc_fun(_u12505, tc_HOL_Obool)), _u12507), _u12508)) )).
% 20.36/20.56 cnf(fact_Ex__inj__on__UNION__Sigma-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12506, _u12505), tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12505, tc_prod(_u12506, _u12505), skolem297(_u12508, _u12507, _u12506, _u12505)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12506, tc_fun(_u12505, tc_HOL_Obool)), _u12507), _u12508))), hAPP(hAPP(c_Product__Type_OSigma(_u12506, _u12505), _u12507), _u12508))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_fold__image__Sigma ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_fold__image__Sigma-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12510) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12511), _u12512)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u12510, _u12511, c_Groups_Otimes__class_Otimes(_u12510)), hAPP(hAPP(c_COMBS(_u12511, tc_fun(_u12513, tc_HOL_Obool), _u12510), hAPP(hAPP(c_COMBC(_u12511, _u12510, tc_fun(tc_fun(_u12513, tc_HOL_Obool), _u12510)), hAPP(hAPP(c_COMBB(tc_fun(_u12513, _u12510), tc_fun(_u12510, tc_fun(tc_fun(_u12513, tc_HOL_Obool), _u12510)), _u12511), c_Finite__Set_Ofold__image(_u12510, _u12513, c_Groups_Otimes__class_Otimes(_u12510))), _u12515)), c_Groups_Oone__class_Oone(_u12510))), _u12514)), c_Groups_Oone__class_Oone(_u12510)), _u12512) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u12510, tc_prod(_u12511, _u12513), c_Groups_Otimes__class_Otimes(_u12510)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12511, _u12513, _u12510), _u12515)), c_Groups_Oone__class_Oone(_u12510)), hAPP(hAPP(c_Product__Type_OSigma(_u12511, _u12513), _u12512), _u12514))) | hBOOL(hAPP(hAPP(c_member(_u12511), skolem298(_u12515, _u12514, _u12513, _u12512, _u12511, _u12510)), _u12512)) )).
% 20.36/20.56 cnf(fact_fold__image__Sigma-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12510) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12511), _u12512)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u12510, _u12511, c_Groups_Otimes__class_Otimes(_u12510)), hAPP(hAPP(c_COMBS(_u12511, tc_fun(_u12513, tc_HOL_Obool), _u12510), hAPP(hAPP(c_COMBC(_u12511, _u12510, tc_fun(tc_fun(_u12513, tc_HOL_Obool), _u12510)), hAPP(hAPP(c_COMBB(tc_fun(_u12513, _u12510), tc_fun(_u12510, tc_fun(tc_fun(_u12513, tc_HOL_Obool), _u12510)), _u12511), c_Finite__Set_Ofold__image(_u12510, _u12513, c_Groups_Otimes__class_Otimes(_u12510))), _u12515)), c_Groups_Oone__class_Oone(_u12510))), _u12514)), c_Groups_Oone__class_Oone(_u12510)), _u12512) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u12510, tc_prod(_u12511, _u12513), c_Groups_Otimes__class_Otimes(_u12510)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12511, _u12513, _u12510), _u12515)), c_Groups_Oone__class_Oone(_u12510)), hAPP(hAPP(c_Product__Type_OSigma(_u12511, _u12513), _u12512), _u12514))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12513), hAPP(_u12514, skolem298(_u12515, _u12514, _u12513, _u12512, _u12511, _u12510)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_finite__SigmaI ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_finite__SigmaI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12517), _u12518)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12517, _u12519)), hAPP(hAPP(c_Product__Type_OSigma(_u12517, _u12519), _u12518), _u12520))) | hBOOL(hAPP(hAPP(c_member(_u12517), skolem299(_u12520, _u12519, _u12518, _u12517)), _u12518)) )).
% 20.36/20.56 cnf(fact_finite__SigmaI-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12517), _u12518)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12517, _u12519)), hAPP(hAPP(c_Product__Type_OSigma(_u12517, _u12519), _u12518), _u12520))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12519), hAPP(_u12520, skolem299(_u12520, _u12519, _u12518, _u12517)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_setprod__Sigma ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_setprod__Sigma-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12522) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12523), _u12524)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12523, _u12522), hAPP(hAPP(c_COMBS(_u12523, tc_fun(_u12525, tc_HOL_Obool), _u12522), hAPP(hAPP(c_COMBB(tc_fun(_u12525, _u12522), tc_fun(tc_fun(_u12525, tc_HOL_Obool), _u12522), _u12523), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12525, _u12522)), _u12527)), _u12526)), _u12524) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u12523, _u12525), _u12522), hAPP(c_Product__Type_Oprod_Oprod__case(_u12523, _u12525, _u12522), _u12527)), hAPP(hAPP(c_Product__Type_OSigma(_u12523, _u12525), _u12524), _u12526))) | hBOOL(hAPP(hAPP(c_member(_u12523), skolem300(_u12527, _u12526, _u12525, _u12524, _u12523, _u12522)), _u12524)) )).
% 20.36/20.56 cnf(fact_setprod__Sigma-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12522) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12523), _u12524)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12523, _u12522), hAPP(hAPP(c_COMBS(_u12523, tc_fun(_u12525, tc_HOL_Obool), _u12522), hAPP(hAPP(c_COMBB(tc_fun(_u12525, _u12522), tc_fun(tc_fun(_u12525, tc_HOL_Obool), _u12522), _u12523), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12525, _u12522)), _u12527)), _u12526)), _u12524) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u12523, _u12525), _u12522), hAPP(c_Product__Type_Oprod_Oprod__case(_u12523, _u12525, _u12522), _u12527)), hAPP(hAPP(c_Product__Type_OSigma(_u12523, _u12525), _u12524), _u12526))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12525), hAPP(_u12526, skolem300(_u12527, _u12526, _u12525, _u12524, _u12523, _u12522)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_setsum__Sigma ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_setsum__Sigma-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12529) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12530), _u12531)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12530, _u12529), hAPP(hAPP(c_COMBS(_u12530, tc_fun(_u12532, tc_HOL_Obool), _u12529), hAPP(hAPP(c_COMBB(tc_fun(_u12532, _u12529), tc_fun(tc_fun(_u12532, tc_HOL_Obool), _u12529), _u12530), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12532, _u12529)), _u12534)), _u12533)), _u12531) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u12530, _u12532), _u12529), hAPP(c_Product__Type_Oprod_Oprod__case(_u12530, _u12532, _u12529), _u12534)), hAPP(hAPP(c_Product__Type_OSigma(_u12530, _u12532), _u12531), _u12533))) | hBOOL(hAPP(hAPP(c_member(_u12530), skolem301(_u12534, _u12533, _u12532, _u12531, _u12530, _u12529)), _u12531)) )).
% 20.36/20.56 cnf(fact_setsum__Sigma-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12529) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12530), _u12531)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12530, _u12529), hAPP(hAPP(c_COMBS(_u12530, tc_fun(_u12532, tc_HOL_Obool), _u12529), hAPP(hAPP(c_COMBB(tc_fun(_u12532, _u12529), tc_fun(tc_fun(_u12532, tc_HOL_Obool), _u12529), _u12530), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12532, _u12529)), _u12534)), _u12533)), _u12531) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u12530, _u12532), _u12529), hAPP(c_Product__Type_Oprod_Oprod__case(_u12530, _u12532, _u12529), _u12534)), hAPP(hAPP(c_Product__Type_OSigma(_u12530, _u12532), _u12531), _u12533))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12532), hAPP(_u12533, skolem301(_u12534, _u12533, _u12532, _u12531, _u12530, _u12529)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_card__SigmaI ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_card__SigmaI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12536), _u12537)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u12536, _u12538)), hAPP(hAPP(c_Product__Type_OSigma(_u12536, _u12538), _u12537), _u12539)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12536, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u12538, tc_HOL_Obool), tc_Nat_Onat, _u12536), c_Finite__Set_Ocard(_u12538)), _u12539)), _u12537)) | hBOOL(hAPP(hAPP(c_member(_u12536), skolem302(_u12539, _u12538, _u12537, _u12536)), _u12537)) )).
% 20.36/20.56 cnf(fact_card__SigmaI-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12536), _u12537)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u12536, _u12538)), hAPP(hAPP(c_Product__Type_OSigma(_u12536, _u12538), _u12537), _u12539)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12536, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u12538, tc_HOL_Obool), tc_Nat_Onat, _u12536), c_Finite__Set_Ocard(_u12538)), _u12539)), _u12537)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12538), hAPP(_u12539, skolem302(_u12539, _u12538, _u12537, _u12536)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_SigmaE ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_SigmaE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12542, _u12543)), _u12544), hAPP(hAPP(c_Product__Type_OSigma(_u12542, _u12543), _u12545), _u12546))) | hBOOL(hAPP(hAPP(c_member(_u12542), skolem303(_u12546, _u12545, _u12544, _u12543, _u12542)), _u12545)) )).
% 20.36/20.56 cnf(fact_SigmaE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12542, _u12543)), _u12544), hAPP(hAPP(c_Product__Type_OSigma(_u12542, _u12543), _u12545), _u12546))) | hBOOL(hAPP(hAPP(c_member(_u12543), skolem304(_u12546, _u12545, _u12544, _u12543, _u12542)), hAPP(_u12546, skolem303(_u12546, _u12545, _u12544, _u12543, _u12542)))) )).
% 20.36/20.56 cnf(fact_SigmaE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12542, _u12543)), _u12544), hAPP(hAPP(c_Product__Type_OSigma(_u12542, _u12543), _u12545), _u12546))) | ( _u12544 = hAPP(hAPP(c_Product__Type_OPair(_u12542, _u12543), skolem303(_u12546, _u12545, _u12544, _u12543, _u12542)), skolem304(_u12546, _u12545, _u12544, _u12543, _u12542))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_map__pair__surj ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_map__pair__surj-1, axiom, ( ( hAPP(c_Set_Oimage(_u12547, _u12548, _u12549), c_Orderings_Otop__class_Otop(tc_fun(_u12547, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u12548, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u12550, _u12551, _u12552), c_Orderings_Otop__class_Otop(tc_fun(_u12550, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u12551, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12547, _u12550), tc_prod(_u12548, _u12551), c_Product__Type_Omap__pair(_u12547, _u12548, _u12550, _u12551, _u12549, _u12552)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u12547, _u12550), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u12548, _u12551), tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_map__pair__inj__on ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_map__pair__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u12553, _u12554, _u12555, _u12556) | ~c_Fun_Oinj__on(_u12557, _u12558, _u12559, _u12560) | c_Fun_Oinj__on(tc_prod(_u12553, _u12557), tc_prod(_u12554, _u12558), c_Product__Type_Omap__pair(_u12553, _u12554, _u12557, _u12558, _u12555, _u12559), hAPP(hAPP(c_Product__Type_OSigma(_u12553, _u12557), _u12556), hAPP(c_COMBK(tc_fun(_u12557, tc_HOL_Obool), _u12553), _u12560))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_map__pair__imageI ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_map__pair__imageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12561, _u12562)), hAPP(hAPP(c_Product__Type_OPair(_u12561, _u12562), _u12563), _u12564)), _u12565)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12566, _u12567)), hAPP(hAPP(c_Product__Type_OPair(_u12566, _u12567), hAPP(_u12568, _u12563)), hAPP(_u12569, _u12564))), hAPP(c_Set_Oimage(tc_prod(_u12561, _u12562), tc_prod(_u12566, _u12567), c_Product__Type_Omap__pair(_u12561, _u12566, _u12562, _u12567, _u12568, _u12569)), _u12565))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_fst__map__pair ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_fst__map__pair-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u12570, _u12571), hAPP(c_Product__Type_Omap__pair(_u12572, _u12570, _u12573, _u12571, _u12574, _u12575), _u12576)) = hAPP(_u12574, hAPP(c_Product__Type_Ofst(_u12572, _u12573), _u12576))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_map__pair__simp ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_map__pair__simp-1, axiom, ( ( hAPP(c_Product__Type_Omap__pair(_u12577, _u12578, _u12579, _u12580, _u12581, _u12582), hAPP(hAPP(c_Product__Type_OPair(_u12577, _u12579), _u12583), _u12584)) = hAPP(hAPP(c_Product__Type_OPair(_u12578, _u12580), hAPP(_u12581, _u12583)), hAPP(_u12582, _u12584))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_map__pair__ident ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_map__pair__ident-1, axiom, ( ( hAPP(c_Product__Type_Omap__pair(_u12585, _u12585, _u12586, _u12586, c_COMBI(_u12585), c_COMBI(_u12586)), _u12587) = _u12587) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_snd__prod__fun ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_snd__prod__fun-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u12588, _u12589), hAPP(c_Product__Type_Omap__pair(_u12590, _u12588, _u12591, _u12589, _u12592, _u12593), _u12594)) = hAPP(_u12593, hAPP(c_Product__Type_Osnd(_u12590, _u12591), _u12594))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_map__pair__def ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_map__pair__def-1, axiom, ( ( c_Product__Type_Omap__pair(_u12595, _u12596, _u12597, _u12598, _u12599, _u12600) = hAPP(c_Product__Type_Oprod_Oprod__case(_u12595, _u12597, tc_prod(_u12596, _u12598)), hAPP(hAPP(c_COMBC(_u12595, tc_fun(_u12597, _u12598), tc_fun(_u12597, tc_prod(_u12596, _u12598))), hAPP(hAPP(c_COMBB(tc_fun(_u12598, tc_prod(_u12596, _u12598)), tc_fun(tc_fun(_u12597, _u12598), tc_fun(_u12597, tc_prod(_u12596, _u12598))), _u12595), c_COMBB(_u12598, tc_prod(_u12596, _u12598), _u12597)), hAPP(hAPP(c_COMBB(_u12596, tc_fun(_u12598, tc_prod(_u12596, _u12598)), _u12595), c_Product__Type_OPair(_u12596, _u12598)), _u12599))), _u12600))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_map__pair__surj__on ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_map__pair__surj__on-1, axiom, ( ( hAPP(c_Set_Oimage(_u12601, _u12602, _u12603), _u12604) != _u12605) | ( hAPP(c_Set_Oimage(_u12606, _u12607, _u12608), _u12609) != _u12610) | ( hAPP(c_Set_Oimage(tc_prod(_u12601, _u12606), tc_prod(_u12602, _u12607), c_Product__Type_Omap__pair(_u12601, _u12602, _u12606, _u12607, _u12603, _u12608)), hAPP(hAPP(c_Product__Type_OSigma(_u12601, _u12606), _u12604), hAPP(c_COMBK(tc_fun(_u12606, tc_HOL_Obool), _u12601), _u12609))) = hAPP(hAPP(c_Product__Type_OSigma(_u12602, _u12607), _u12605), hAPP(c_COMBK(tc_fun(_u12607, tc_HOL_Obool), _u12602), _u12610))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_prod__fun__imageE ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_prod__fun__imageE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12613, _u12614)), _u12615), hAPP(c_Set_Oimage(tc_prod(_u12616, _u12617), tc_prod(_u12613, _u12614), c_Product__Type_Omap__pair(_u12616, _u12613, _u12617, _u12614, _u12618, _u12619)), _u12620))) | ( _u12615 = hAPP(hAPP(c_Product__Type_OPair(_u12613, _u12614), hAPP(_u12618, skolem305(_u12620, _u12619, _u12618, _u12617, _u12616, _u12615, _u12614, _u12613))), hAPP(_u12619, skolem306(_u12620, _u12619, _u12618, _u12617, _u12616, _u12615, _u12614, _u12613)))) )).
% 20.36/20.56 cnf(fact_prod__fun__imageE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12613, _u12614)), _u12615), hAPP(c_Set_Oimage(tc_prod(_u12616, _u12617), tc_prod(_u12613, _u12614), c_Product__Type_Omap__pair(_u12616, _u12613, _u12617, _u12614, _u12618, _u12619)), _u12620))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12616, _u12617)), hAPP(hAPP(c_Product__Type_OPair(_u12616, _u12617), skolem305(_u12620, _u12619, _u12618, _u12617, _u12616, _u12615, _u12614, _u12613)), skolem306(_u12620, _u12619, _u12618, _u12617, _u12616, _u12615, _u12614, _u12613))), _u12620)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_refl__on__def ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_refl__on__def-1, axiom, ( ~c_Relation_Orefl__on(_u12626, _u12628, _u12630) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12626, _u12626), tc_HOL_Obool)), _u12630), hAPP(hAPP(c_Product__Type_OSigma(_u12626, _u12626), _u12628), hAPP(c_COMBK(tc_fun(_u12626, tc_HOL_Obool), _u12626), _u12628)))) )).
% 20.36/20.56 cnf(fact_refl__on__def-2, axiom, ( ~c_Relation_Orefl__on(_u12626, _u12628, _u12630) | ~hBOOL(hAPP(hAPP(c_member(_u12626), _u12621), _u12628)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12626, _u12626)), hAPP(hAPP(c_Product__Type_OPair(_u12626, _u12626), _u12621), _u12621)), _u12630)) )).
% 20.36/20.56 cnf(fact_refl__on__def-3, axiom, ( c_Relation_Orefl__on(_u12627, _u12629, _u12631) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12627, _u12627), tc_HOL_Obool)), _u12631), hAPP(hAPP(c_Product__Type_OSigma(_u12627, _u12627), _u12629), hAPP(c_COMBK(tc_fun(_u12627, tc_HOL_Obool), _u12627), _u12629)))) | hBOOL(hAPP(hAPP(c_member(_u12627), skolem307(_u12631, _u12629, _u12627)), _u12629)) )).
% 20.36/20.56 cnf(fact_refl__on__def-4, axiom, ( c_Relation_Orefl__on(_u12627, _u12629, _u12631) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12627, _u12627), tc_HOL_Obool)), _u12631), hAPP(hAPP(c_Product__Type_OSigma(_u12627, _u12627), _u12629), hAPP(c_COMBK(tc_fun(_u12627, tc_HOL_Obool), _u12627), _u12629)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12627, _u12627)), hAPP(hAPP(c_Product__Type_OPair(_u12627, _u12627), skolem307(_u12631, _u12629, _u12627)), skolem307(_u12631, _u12629, _u12627))), _u12631)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Rep__Integ__cases ( axiom ) converted to clauses:
% 20.36/20.56 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)), _u12633), c_Int_OInteg)) | ( _u12633 = hAPP(c_Int_ORep__Integ, skolem308(_u12633))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_refl__on__Id__on ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_refl__on__Id__on-1, axiom, ( c_Relation_Orefl__on(_u12634, _u12635, c_Relation_OId__on(_u12634, _u12635)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_refl__on__empty ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_refl__on__empty-1, axiom, ( c_Relation_Orefl__on(_u12636, c_Orderings_Obot__class_Obot(tc_fun(_u12636, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12636, _u12636), tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_refl__on__Un ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_refl__on__Un-1, axiom, ( ~c_Relation_Orefl__on(_u12637, _u12638, _u12639) | ~c_Relation_Orefl__on(_u12637, _u12640, _u12641) | c_Relation_Orefl__on(_u12637, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12637, tc_HOL_Obool)), _u12638), _u12640), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12637, _u12637), tc_HOL_Obool)), _u12639), _u12641)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_refl__on__Int ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_refl__on__Int-1, axiom, ( ~c_Relation_Orefl__on(_u12642, _u12643, _u12644) | ~c_Relation_Orefl__on(_u12642, _u12645, _u12646) | c_Relation_Orefl__on(_u12642, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12642, tc_HOL_Obool)), _u12643), _u12645), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12642, _u12642), tc_HOL_Obool)), _u12644), _u12646)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_refl__onD ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_refl__onD-1, axiom, ( ~c_Relation_Orefl__on(_u12647, _u12648, _u12649) | ~hBOOL(hAPP(hAPP(c_member(_u12647), _u12650), _u12648)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12647, _u12647)), hAPP(hAPP(c_Product__Type_OPair(_u12647, _u12647), _u12650), _u12650)), _u12649)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_refl__onD1 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_refl__onD1-1, axiom, ( ~c_Relation_Orefl__on(_u12651, _u12652, _u12653) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12651, _u12651)), hAPP(hAPP(c_Product__Type_OPair(_u12651, _u12651), _u12654), _u12655)), _u12653)) | hBOOL(hAPP(hAPP(c_member(_u12651), _u12654), _u12652)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_refl__onD2 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_refl__onD2-1, axiom, ( ~c_Relation_Orefl__on(_u12656, _u12657, _u12658) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12656, _u12656)), hAPP(hAPP(c_Product__Type_OPair(_u12656, _u12656), _u12659), _u12660)), _u12658)) | hBOOL(hAPP(hAPP(c_member(_u12656), _u12660), _u12657)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_refl__onI ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_refl__onI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12662, _u12662), tc_HOL_Obool)), _u12663), hAPP(hAPP(c_Product__Type_OSigma(_u12662, _u12662), _u12664), hAPP(c_COMBK(tc_fun(_u12662, tc_HOL_Obool), _u12662), _u12664)))) | c_Relation_Orefl__on(_u12662, _u12664, _u12663) | hBOOL(hAPP(hAPP(c_member(_u12662), skolem309(_u12664, _u12663, _u12662)), _u12664)) )).
% 20.36/20.56 cnf(fact_refl__onI-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12662, _u12662), tc_HOL_Obool)), _u12663), hAPP(hAPP(c_Product__Type_OSigma(_u12662, _u12662), _u12664), hAPP(c_COMBK(tc_fun(_u12662, tc_HOL_Obool), _u12662), _u12664)))) | c_Relation_Orefl__on(_u12662, _u12664, _u12663) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12662, _u12662)), hAPP(hAPP(c_Product__Type_OPair(_u12662, _u12662), skolem309(_u12664, _u12663, _u12662)), skolem309(_u12664, _u12663, _u12662))), _u12663)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Rep__Integ__induct ( axiom ) converted to clauses:
% 20.36/20.56 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)), _u12666), c_Int_OInteg)) | ~hBOOL(hAPP(_u12667, hAPP(c_Int_ORep__Integ, skolem310(_u12667, _u12666)))) | hBOOL(hAPP(_u12667, _u12666)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_inj__on__INTER ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_inj__on__INTER-1, axiom, ( ( _u12669 = c_Orderings_Obot__class_Obot(tc_fun(_u12670, tc_HOL_Obool))) | c_Fun_Oinj__on(_u12671, _u12672, _u12673, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u12670, tc_fun(_u12671, tc_HOL_Obool)), _u12669), _u12674)) | hBOOL(hAPP(hAPP(c_member(_u12670), skolem311(_u12674, _u12673, _u12672, _u12671, _u12670, _u12669)), _u12669)) )).
% 20.36/20.56 cnf(fact_inj__on__INTER-2, axiom, ( ( _u12669 = c_Orderings_Obot__class_Obot(tc_fun(_u12670, tc_HOL_Obool))) | c_Fun_Oinj__on(_u12671, _u12672, _u12673, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u12670, tc_fun(_u12671, tc_HOL_Obool)), _u12669), _u12674)) | ~c_Fun_Oinj__on(_u12671, _u12672, _u12673, hAPP(_u12674, skolem311(_u12674, _u12673, _u12672, _u12671, _u12670, _u12669))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_card__less__Suc ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_card__less__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u12675)) | ( 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)), _u12675))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u12676))))) = 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)), _u12675))), 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, _u12676)))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_card__less ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_card__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u12677)) | ( 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)), _u12677))), 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, _u12678))))) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_card__less__Suc2 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_card__less__Suc2-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u12679)) | ( 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)), _u12679))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u12680)))) = 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)), _u12679))), 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, _u12680)))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_CollectI ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_CollectI-1, axiom, ( ~hBOOL(hAPP(_u12681, _u12682)) | hBOOL(hAPP(hAPP(c_member(_u12683), _u12682), hAPP(c_Set_OCollect(_u12683), _u12681))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_finite__Collect__conjI ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_finite__Collect__conjI-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u12684), hAPP(c_Set_OCollect(_u12684), hAPP(hAPP(c_COMBS(_u12684, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12684), c_fconj), _u12685)), _u12686)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12684), hAPP(c_Set_OCollect(_u12684), _u12685))) )).
% 20.36/20.56 cnf(fact_finite__Collect__conjI-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u12684), hAPP(c_Set_OCollect(_u12684), hAPP(hAPP(c_COMBS(_u12684, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12684), c_fconj), _u12685)), _u12686)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12684), hAPP(c_Set_OCollect(_u12684), _u12686))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_finite__Collect__less__nat ( axiom ) converted to clauses:
% 20.36/20.56 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)), _u12687)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_finite__Collect__le__nat ( axiom ) converted to clauses:
% 20.36/20.56 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)), _u12688)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Collect__split ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Collect__split-1, axiom, ( ( hAPP(c_Set_OCollect(tc_prod(_u12689, _u12690)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12689, _u12690, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12689, tc_fun(_u12690, tc_HOL_Obool), tc_fun(_u12690, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12690, tc_HOL_Obool), tc_fun(_u12690, tc_HOL_Obool)), _u12689), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12690)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12689), c_fconj), _u12691))), _u12692))) = hAPP(hAPP(c_Product__Type_OSigma(_u12689, _u12690), hAPP(c_Set_OCollect(_u12689), _u12691)), hAPP(c_COMBK(tc_fun(_u12690, tc_HOL_Obool), _u12689), hAPP(c_Set_OCollect(_u12690), _u12692)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_SetCompr__Sigma__eq ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_SetCompr__Sigma__eq-1, axiom, ( ( hAPP(c_Set_OCollect(tc_prod(_u12693, _u12694)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12693, _u12694, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u12693, tc_fun(_u12694, tc_HOL_Obool), tc_fun(_u12694, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12694, tc_HOL_Obool), tc_fun(_u12694, tc_HOL_Obool)), _u12693), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12694)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12693), c_fconj), _u12695))), _u12696))) = hAPP(hAPP(c_Product__Type_OSigma(_u12693, _u12694), hAPP(c_Set_OCollect(_u12693), _u12695)), hAPP(hAPP(c_COMBB(tc_fun(_u12694, tc_HOL_Obool), tc_fun(_u12694, tc_HOL_Obool), _u12693), c_Set_OCollect(_u12694)), _u12696))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Collect__neg__eq ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Collect__neg__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u12697), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12697), c_fNot), _u12698)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12697, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u12697), _u12698))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Collect__conj__eq ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Collect__conj__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u12699), hAPP(hAPP(c_COMBS(_u12699, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12699), c_fconj), _u12700)), _u12701)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12699, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u12699), _u12700)), hAPP(c_Set_OCollect(_u12699), _u12701))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Collect__disj__eq ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Collect__disj__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u12702), hAPP(hAPP(c_COMBS(_u12702, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12702), c_fdisj), _u12703)), _u12704)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12702, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u12702), _u12703)), hAPP(c_Set_OCollect(_u12702), _u12704))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_finite__Collect__disjI ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_finite__Collect__disjI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12708), hAPP(c_Set_OCollect(_u12708), hAPP(hAPP(c_COMBS(_u12708, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12708), c_fdisj), _u12710)), _u12712)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12708), hAPP(c_Set_OCollect(_u12708), _u12710))) )).
% 20.36/20.56 cnf(fact_finite__Collect__disjI-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12708), hAPP(c_Set_OCollect(_u12708), hAPP(hAPP(c_COMBS(_u12708, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12708), c_fdisj), _u12710)), _u12712)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12708), hAPP(c_Set_OCollect(_u12708), _u12712))) )).
% 20.36/20.56 cnf(fact_finite__Collect__disjI-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12709), hAPP(c_Set_OCollect(_u12709), _u12711))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12709), hAPP(c_Set_OCollect(_u12709), _u12713))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12709), hAPP(c_Set_OCollect(_u12709), hAPP(hAPP(c_COMBS(_u12709, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12709), c_fdisj), _u12711)), _u12713)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_vimage__Collect__eq ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_vimage__Collect__eq-1, axiom, ( ( hAPP(c_Set_Ovimage(_u12714, _u12715, _u12716), hAPP(c_Set_OCollect(_u12715), _u12717)) = hAPP(c_Set_OCollect(_u12714), hAPP(hAPP(c_COMBB(_u12715, tc_HOL_Obool, _u12714), _u12717), _u12716))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Collect__def ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Collect__def-1, axiom, ( ( hAPP(c_Set_OCollect(_u12718), _u12719) = _u12719) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_empty__def ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_empty__def-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u12720, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u12720), hAPP(c_COMBK(tc_HOL_Obool, _u12720), c_fFalse))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Collect__empty__eq ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Collect__empty__eq-1, axiom, ( ~hBOOL(hAPP(_u12727, _u12721)) | ( hAPP(c_Set_OCollect(_u12725), _u12727) != c_Orderings_Obot__class_Obot(tc_fun(_u12725, tc_HOL_Obool))) )).
% 20.36/20.56 cnf(fact_Collect__empty__eq-2, axiom, ( hBOOL(hAPP(_u12728, skolem312(_u12728))) | ( hAPP(c_Set_OCollect(_u12726), _u12728) = c_Orderings_Obot__class_Obot(tc_fun(_u12726, tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_empty__Collect__eq ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_empty__Collect__eq-1, axiom, ( ~hBOOL(hAPP(_u12735, _u12729)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u12733, tc_HOL_Obool)) != hAPP(c_Set_OCollect(_u12733), _u12735)) )).
% 20.36/20.56 cnf(fact_empty__Collect__eq-2, axiom, ( hBOOL(hAPP(_u12736, skolem313(_u12736))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u12734, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u12734), _u12736)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_insert__Collect ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_insert__Collect-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u12737), _u12738), hAPP(c_Set_OCollect(_u12737), _u12739)) = hAPP(c_Set_OCollect(_u12737), hAPP(hAPP(c_COMBS(_u12737, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12737), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12737), c_fNot), hAPP(hAPP(c_COMBC(_u12737, _u12737, tc_HOL_Obool), c_fequal), _u12738)))), _u12739))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_UNIV__def ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_UNIV__def-1, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u12740, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u12740), hAPP(c_COMBK(tc_HOL_Obool, _u12740), c_fTrue))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_CollectE ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_CollectE-1, axiom, ( hBOOL(hAPP(_u12743, _u12742)) | ~hBOOL(hAPP(hAPP(c_member(_u12741), _u12742), hAPP(c_Set_OCollect(_u12741), _u12743))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_CollectD ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_CollectD-1, axiom, ( hBOOL(hAPP(_u12746, _u12745)) | ~hBOOL(hAPP(hAPP(c_member(_u12744), _u12745), hAPP(c_Set_OCollect(_u12744), _u12746))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_mem__Collect__eq ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_mem__Collect__eq-1, axiom, ( hBOOL(hAPP(_u12754, _u12752)) | ~hBOOL(hAPP(hAPP(c_member(_u12750), _u12752), hAPP(c_Set_OCollect(_u12750), _u12754))) )).
% 20.36/20.56 cnf(fact_mem__Collect__eq-2, axiom, ( ~hBOOL(hAPP(_u12755, _u12753)) | hBOOL(hAPP(hAPP(c_member(_u12751), _u12753), hAPP(c_Set_OCollect(_u12751), _u12755))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Collect__mem__eq ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Collect__mem__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u12756), hAPP(hAPP(c_COMBC(_u12756, tc_fun(_u12756, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12756)), _u12757)) = _u12757) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_insert__compr ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_insert__compr-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u12758), _u12759), _u12760) = hAPP(c_Set_OCollect(_u12758), hAPP(hAPP(c_COMBS(_u12758, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12758), c_fdisj), hAPP(hAPP(c_COMBC(_u12758, _u12758, tc_HOL_Obool), c_fequal), _u12759))), hAPP(hAPP(c_COMBC(_u12758, tc_fun(_u12758, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12758)), _u12760)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_insert__compr__raw ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_insert__compr__raw-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u12761), _u12762), _u12763) = hAPP(c_Set_OCollect(_u12761), hAPP(hAPP(c_COMBS(_u12761, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12761), c_fdisj), hAPP(hAPP(c_COMBC(_u12761, _u12761, tc_HOL_Obool), c_fequal), _u12762))), hAPP(hAPP(c_COMBC(_u12761, tc_fun(_u12761, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12761)), _u12763)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Un__def ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Un__def-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12764, tc_HOL_Obool)), _u12765), _u12766) = hAPP(c_Set_OCollect(_u12764), hAPP(hAPP(c_COMBS(_u12764, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12764), c_fdisj), hAPP(hAPP(c_COMBC(_u12764, tc_fun(_u12764, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12764)), _u12765))), hAPP(hAPP(c_COMBC(_u12764, tc_fun(_u12764, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12764)), _u12766)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Int__Collect ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Int__Collect-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12771), _u12773), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12771, tc_HOL_Obool)), _u12775), hAPP(c_Set_OCollect(_u12771), _u12777)))) | hBOOL(hAPP(hAPP(c_member(_u12771), _u12773), _u12775)) )).
% 20.36/20.56 cnf(fact_Int__Collect-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12771), _u12773), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12771, tc_HOL_Obool)), _u12775), hAPP(c_Set_OCollect(_u12771), _u12777)))) | hBOOL(hAPP(_u12777, _u12773)) )).
% 20.36/20.56 cnf(fact_Int__Collect-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12772), _u12774), _u12776)) | ~hBOOL(hAPP(_u12778, _u12774)) | hBOOL(hAPP(hAPP(c_member(_u12772), _u12774), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12772, tc_HOL_Obool)), _u12776), hAPP(c_Set_OCollect(_u12772), _u12778)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Int__def ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Int__def-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12779, tc_HOL_Obool)), _u12780), _u12781) = hAPP(c_Set_OCollect(_u12779), hAPP(hAPP(c_COMBS(_u12779, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12779), c_fconj), hAPP(hAPP(c_COMBC(_u12779, tc_fun(_u12779, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12779)), _u12780))), hAPP(hAPP(c_COMBC(_u12779, tc_fun(_u12779, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12779)), _u12781)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Collect__conv__if ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Collect__conv__if-1, axiom, ( ~hBOOL(hAPP(_u12785, _u12787)) | ( hAPP(c_Set_OCollect(_u12789), hAPP(hAPP(c_COMBS(_u12789, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12789), c_fconj), hAPP(hAPP(c_COMBC(_u12789, _u12789, tc_HOL_Obool), c_fequal), _u12787))), _u12785)) = hAPP(hAPP(c_Set_Oinsert(_u12789), _u12787), c_Orderings_Obot__class_Obot(tc_fun(_u12789, tc_HOL_Obool)))) )).
% 20.36/20.56 cnf(fact_Collect__conv__if-2, axiom, ( hBOOL(hAPP(_u12786, _u12788)) | ( hAPP(c_Set_OCollect(_u12790), hAPP(hAPP(c_COMBS(_u12790, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12790), c_fconj), hAPP(hAPP(c_COMBC(_u12790, _u12790, tc_HOL_Obool), c_fequal), _u12788))), _u12786)) = c_Orderings_Obot__class_Obot(tc_fun(_u12790, tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Collect__conv__if2 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Collect__conv__if2-1, axiom, ( ~hBOOL(hAPP(_u12794, _u12796)) | ( hAPP(c_Set_OCollect(_u12798), hAPP(hAPP(c_COMBS(_u12798, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12798), c_fconj), hAPP(c_fequal, _u12796))), _u12794)) = hAPP(hAPP(c_Set_Oinsert(_u12798), _u12796), c_Orderings_Obot__class_Obot(tc_fun(_u12798, tc_HOL_Obool)))) )).
% 20.36/20.56 cnf(fact_Collect__conv__if2-2, axiom, ( hBOOL(hAPP(_u12795, _u12797)) | ( hAPP(c_Set_OCollect(_u12799), hAPP(hAPP(c_COMBS(_u12799, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12799), c_fconj), hAPP(c_fequal, _u12797))), _u12795)) = c_Orderings_Obot__class_Obot(tc_fun(_u12799, tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_singleton__conv ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_singleton__conv-1, axiom, ( ( hAPP(c_Set_OCollect(_u12800), hAPP(hAPP(c_COMBC(_u12800, _u12800, tc_HOL_Obool), c_fequal), _u12801)) = hAPP(hAPP(c_Set_Oinsert(_u12800), _u12801), c_Orderings_Obot__class_Obot(tc_fun(_u12800, tc_HOL_Obool)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_singleton__conv2 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_singleton__conv2-1, axiom, ( ( hAPP(c_Set_OCollect(_u12802), hAPP(c_fequal, _u12803)) = hAPP(hAPP(c_Set_Oinsert(_u12802), _u12803), c_Orderings_Obot__class_Obot(tc_fun(_u12802, tc_HOL_Obool)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_set__diff__eq ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_set__diff__eq-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12804, tc_HOL_Obool)), _u12805), _u12806) = hAPP(c_Set_OCollect(_u12804), hAPP(hAPP(c_COMBS(_u12804, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12804), c_fconj), hAPP(hAPP(c_COMBC(_u12804, tc_fun(_u12804, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12804)), _u12805))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12804), c_fNot), hAPP(hAPP(c_COMBC(_u12804, tc_fun(_u12804, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12804)), _u12806))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_finite__Collect__not ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_finite__Collect__not-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12807), hAPP(c_Set_OCollect(_u12807), _u12808))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12807), hAPP(c_Set_OCollect(_u12807), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12807), c_fNot), _u12808)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12807), c_Orderings_Otop__class_Otop(tc_fun(_u12807, tc_HOL_Obool)))) )).
% 20.36/20.56 cnf(fact_finite__Collect__not-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12807), hAPP(c_Set_OCollect(_u12807), _u12808))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12807), c_Orderings_Otop__class_Otop(tc_fun(_u12807, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12807), hAPP(c_Set_OCollect(_u12807), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12807), c_fNot), _u12808)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_insert__def ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_insert__def-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u12809), _u12810), _u12811) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12809, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u12809), hAPP(hAPP(c_COMBC(_u12809, _u12809, tc_HOL_Obool), c_fequal), _u12810))), _u12811)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Compl__eq ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Compl__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12812, tc_HOL_Obool)), _u12813) = hAPP(c_Set_OCollect(_u12812), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12812), c_fNot), hAPP(hAPP(c_COMBC(_u12812, tc_fun(_u12812, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12812)), _u12813)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_vimage__def ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_vimage__def-1, axiom, ( ( hAPP(c_Set_Ovimage(_u12814, _u12815, _u12816), _u12817) = hAPP(c_Set_OCollect(_u12814), hAPP(hAPP(c_COMBC(_u12814, tc_fun(_u12815, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u12815, tc_fun(tc_fun(_u12815, tc_HOL_Obool), tc_HOL_Obool), _u12814), c_member(_u12815)), _u12816)), _u12817))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Collect__imp__eq ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Collect__imp__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u12818), hAPP(hAPP(c_COMBS(_u12818, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12818), c_fimplies), _u12819)), _u12820)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12818, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12818, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u12818), _u12819))), hAPP(c_Set_OCollect(_u12818), _u12820))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_finite__M__bounded__by__nat ( axiom ) converted to clauses:
% 20.36/20.56 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), _u12821)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u12822))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_setsum__setsum__restrict ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_setsum__setsum__restrict-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12823) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12824), _u12825)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12826), _u12827)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12824, _u12823), hAPP(hAPP(c_COMBS(_u12824, tc_fun(_u12826, tc_HOL_Obool), _u12823), hAPP(hAPP(c_COMBB(tc_fun(_u12826, _u12823), tc_fun(tc_fun(_u12826, tc_HOL_Obool), _u12823), _u12824), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12826, _u12823)), _u12828)), hAPP(hAPP(c_COMBB(tc_fun(_u12826, tc_HOL_Obool), tc_fun(_u12826, tc_HOL_Obool), _u12824), c_Set_OCollect(_u12826)), hAPP(hAPP(c_COMBB(tc_fun(_u12826, tc_HOL_Obool), tc_fun(_u12826, tc_HOL_Obool), _u12824), 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_fconj), hAPP(hAPP(c_COMBC(_u12826, tc_fun(_u12826, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12826)), _u12827)))), _u12829)))), _u12825) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12826, _u12823), hAPP(hAPP(c_COMBS(_u12826, tc_fun(_u12824, tc_HOL_Obool), _u12823), hAPP(hAPP(c_COMBB(tc_fun(_u12824, _u12823), tc_fun(tc_fun(_u12824, tc_HOL_Obool), _u12823), _u12826), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12824, _u12823)), hAPP(c_COMBC(_u12824, _u12826, _u12823), _u12828))), hAPP(hAPP(c_COMBB(tc_fun(_u12824, tc_HOL_Obool), tc_fun(_u12824, tc_HOL_Obool), _u12826), c_Set_OCollect(_u12824)), hAPP(hAPP(c_COMBB(tc_fun(_u12824, tc_HOL_Obool), tc_fun(_u12824, tc_HOL_Obool), _u12826), hAPP(c_COMBS(_u12824, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12824), c_fconj), hAPP(hAPP(c_COMBC(_u12824, tc_fun(_u12824, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12824)), _u12825)))), hAPP(c_COMBC(_u12824, _u12826, tc_HOL_Obool), _u12829))))), _u12827)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_if__image__distrib ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_if__image__distrib-1, axiom, ( ( hAPP(c_Set_Oimage(_u12830, _u12831, hAPP(hAPP(c_COMBS(_u12830, _u12831, _u12831), hAPP(hAPP(c_COMBS(_u12830, _u12831, tc_fun(_u12831, _u12831)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12831, tc_fun(_u12831, _u12831)), _u12830), c_If(_u12831)), _u12832)), _u12833)), _u12834)), _u12835) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12831, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12830, _u12831, _u12833), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12830, tc_HOL_Obool)), _u12835), hAPP(c_Set_OCollect(_u12830), _u12832)))), hAPP(c_Set_Oimage(_u12830, _u12831, _u12834), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12830, tc_HOL_Obool)), _u12835), hAPP(c_Set_OCollect(_u12830), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12830), c_fNot), _u12832)))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_nat__seg__image__imp__finite ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_nat__seg__image__imp__finite-1, axiom, ( ( _u12836 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u12837, _u12838), 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)), _u12839)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12837), _u12836)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_setsum__restrict__set_H ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_setsum__restrict__set_H-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12840) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12841), _u12842)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12841, _u12840), _u12843), hAPP(c_Set_OCollect(_u12841), hAPP(hAPP(c_COMBS(_u12841, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12841), c_fconj), hAPP(hAPP(c_COMBC(_u12841, tc_fun(_u12841, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12841)), _u12842))), hAPP(hAPP(c_COMBC(_u12841, tc_fun(_u12841, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12841)), _u12844)))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12841, _u12840), hAPP(hAPP(c_COMBC(_u12841, _u12840, _u12840), hAPP(hAPP(c_COMBS(_u12841, _u12840, tc_fun(_u12840, _u12840)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12840, tc_fun(_u12840, _u12840)), _u12841), c_If(_u12840)), hAPP(hAPP(c_COMBC(_u12841, tc_fun(_u12841, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12841)), _u12844))), _u12843)), c_Groups_Ozero__class_Ozero(_u12840))), _u12842)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_setsum__image__gen ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_setsum__image__gen-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12845) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12846), _u12847)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12846, _u12845), _u12848), _u12847) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12849, _u12845), hAPP(hAPP(c_COMBB(tc_fun(_u12846, tc_HOL_Obool), _u12845, _u12849), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12846, _u12845), _u12848)), hAPP(hAPP(c_COMBB(tc_fun(_u12846, tc_HOL_Obool), tc_fun(_u12846, tc_HOL_Obool), _u12849), c_Set_OCollect(_u12846)), hAPP(hAPP(c_COMBB(tc_fun(_u12846, tc_HOL_Obool), tc_fun(_u12846, tc_HOL_Obool), _u12849), hAPP(c_COMBS(_u12846, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12846), c_fconj), hAPP(hAPP(c_COMBC(_u12846, tc_fun(_u12846, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12846)), _u12847)))), hAPP(c_COMBC(_u12846, _u12849, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u12849, tc_fun(_u12849, tc_HOL_Obool), _u12846), c_fequal), _u12850)))))), hAPP(c_Set_Oimage(_u12846, _u12849, _u12850), _u12847))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Image__singleton ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Image__singleton-1, axiom, ( ( hAPP(c_Relation_OImage(_u12851, _u12852, _u12853), hAPP(hAPP(c_Set_Oinsert(_u12851), _u12854), c_Orderings_Obot__class_Obot(tc_fun(_u12851, tc_HOL_Obool)))) = hAPP(c_Set_OCollect(_u12852), hAPP(hAPP(c_COMBC(_u12852, tc_fun(tc_prod(_u12851, _u12852), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u12851, _u12852), tc_fun(tc_fun(tc_prod(_u12851, _u12852), tc_HOL_Obool), tc_HOL_Obool), _u12852), c_member(tc_prod(_u12851, _u12852))), hAPP(c_Product__Type_OPair(_u12851, _u12852), _u12854))), _u12853))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_setsum__cases ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_setsum__cases-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12855) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12856), _u12857)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12856, _u12855), hAPP(hAPP(c_COMBS(_u12856, _u12855, _u12855), hAPP(hAPP(c_COMBS(_u12856, _u12855, tc_fun(_u12855, _u12855)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12855, tc_fun(_u12855, _u12855)), _u12856), c_If(_u12855)), _u12858)), _u12859)), _u12860)), _u12857) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12855), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12856, _u12855), _u12859), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12856, tc_HOL_Obool)), _u12857), hAPP(c_Set_OCollect(_u12856), _u12858)))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12856, _u12855), _u12860), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12856, tc_HOL_Obool)), _u12857), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12856, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u12856), _u12858)))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_setsum__multicount ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_setsum__multicount-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12862), _u12863)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12864), _u12865)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12862, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u12864, tc_HOL_Obool), tc_Nat_Onat, _u12862), c_Finite__Set_Ocard(_u12864)), hAPP(hAPP(c_COMBB(tc_fun(_u12864, tc_HOL_Obool), tc_fun(_u12864, tc_HOL_Obool), _u12862), c_Set_OCollect(_u12864)), hAPP(hAPP(c_COMBB(tc_fun(_u12864, tc_HOL_Obool), tc_fun(_u12864, tc_HOL_Obool), _u12862), hAPP(c_COMBS(_u12864, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12864), c_fconj), hAPP(hAPP(c_COMBC(_u12864, tc_fun(_u12864, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12864)), _u12865)))), _u12866)))), _u12863) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u12867), hAPP(c_Finite__Set_Ocard(_u12864), _u12865))) | hBOOL(hAPP(hAPP(c_member(_u12864), skolem314(_u12867, _u12866, _u12865, _u12864, _u12863, _u12862)), _u12865)) )).
% 20.36/20.56 cnf(fact_setsum__multicount-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12862), _u12863)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12864), _u12865)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12862, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u12864, tc_HOL_Obool), tc_Nat_Onat, _u12862), c_Finite__Set_Ocard(_u12864)), hAPP(hAPP(c_COMBB(tc_fun(_u12864, tc_HOL_Obool), tc_fun(_u12864, tc_HOL_Obool), _u12862), c_Set_OCollect(_u12864)), hAPP(hAPP(c_COMBB(tc_fun(_u12864, tc_HOL_Obool), tc_fun(_u12864, tc_HOL_Obool), _u12862), hAPP(c_COMBS(_u12864, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12864), c_fconj), hAPP(hAPP(c_COMBC(_u12864, tc_fun(_u12864, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12864)), _u12865)))), _u12866)))), _u12863) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u12867), hAPP(c_Finite__Set_Ocard(_u12864), _u12865))) | ( hAPP(c_Finite__Set_Ocard(_u12862), hAPP(c_Set_OCollect(_u12862), hAPP(hAPP(c_COMBS(_u12862, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12862), c_fconj), hAPP(hAPP(c_COMBC(_u12862, tc_fun(_u12862, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12862)), _u12863))), hAPP(hAPP(c_COMBC(_u12862, _u12864, tc_HOL_Obool), _u12866), skolem314(_u12867, _u12866, _u12865, _u12864, _u12863, _u12862))))) != _u12867) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_min__max_Oinf__Sup2__distrib ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_min__max_Oinf__Sup2__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u12868) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12868), _u12869)) | ( _u12869 = c_Orderings_Obot__class_Obot(tc_fun(_u12868, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12868), _u12870)) | ( _u12870 = c_Orderings_Obot__class_Obot(tc_fun(_u12868, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12868), c_Big__Operators_Olattice_OSup__fin(_u12868, c_Orderings_Oord__class_Omax(_u12868), _u12869)), c_Big__Operators_Olattice_OSup__fin(_u12868, c_Orderings_Oord__class_Omax(_u12868), _u12870)) = c_Big__Operators_Olattice_OSup__fin(_u12868, c_Orderings_Oord__class_Omax(_u12868), hAPP(c_Set_OCollect(_u12868), hAPP(hAPP(c_COMBB(tc_fun(_u12868, tc_HOL_Obool), tc_HOL_Obool, _u12868), c_HOL_OEx(_u12868)), hAPP(hAPP(c_COMBB(tc_fun(_u12868, tc_fun(_u12868, tc_HOL_Obool)), tc_fun(_u12868, tc_HOL_Obool), _u12868), hAPP(c_COMBB(tc_fun(_u12868, tc_HOL_Obool), tc_HOL_Obool, _u12868), c_HOL_OEx(_u12868))), hAPP(hAPP(c_COMBC(_u12868, tc_fun(_u12868, tc_fun(_u12868, tc_HOL_Obool)), tc_fun(_u12868, tc_fun(_u12868, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12868, tc_fun(tc_fun(_u12868, tc_HOL_Obool), tc_fun(_u12868, tc_HOL_Obool))), tc_fun(tc_fun(_u12868, tc_fun(_u12868, tc_HOL_Obool)), tc_fun(_u12868, tc_fun(_u12868, tc_HOL_Obool))), _u12868), c_COMBS(_u12868, tc_fun(_u12868, tc_HOL_Obool), tc_fun(_u12868, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12868, tc_fun(_u12868, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u12868, tc_fun(tc_fun(_u12868, tc_HOL_Obool), tc_fun(_u12868, tc_HOL_Obool))), _u12868), hAPP(c_COMBB(tc_fun(_u12868, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12868, tc_HOL_Obool), tc_fun(_u12868, tc_HOL_Obool)), _u12868), c_COMBS(_u12868, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12868, tc_fun(_u12868, tc_HOL_Obool)), tc_fun(_u12868, tc_fun(_u12868, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u12868), hAPP(c_COMBB(tc_fun(_u12868, tc_HOL_Obool), tc_fun(_u12868, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12868), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12868), c_fconj))), hAPP(hAPP(c_COMBC(_u12868, tc_fun(_u12868, tc_fun(_u12868, _u12868)), tc_fun(_u12868, tc_fun(_u12868, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12868, _u12868), tc_fun(_u12868, tc_HOL_Obool)), tc_fun(tc_fun(_u12868, tc_fun(_u12868, _u12868)), tc_fun(_u12868, tc_fun(_u12868, tc_HOL_Obool))), _u12868), c_COMBB(tc_fun(_u12868, _u12868), tc_fun(_u12868, tc_HOL_Obool), _u12868)), hAPP(hAPP(c_COMBB(tc_fun(_u12868, tc_HOL_Obool), tc_fun(tc_fun(_u12868, _u12868), tc_fun(_u12868, tc_HOL_Obool)), _u12868), c_COMBB(_u12868, tc_HOL_Obool, _u12868)), c_fequal))), c_Orderings_Oord__class_Omin(_u12868)))))), hAPP(hAPP(c_COMBC(_u12868, tc_fun(_u12868, tc_HOL_Obool), tc_fun(_u12868, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12868, tc_HOL_Obool), tc_fun(_u12868, tc_HOL_Obool)), _u12868), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12868)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12868), c_fconj), hAPP(hAPP(c_COMBC(_u12868, tc_fun(_u12868, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12868)), _u12869)))), hAPP(hAPP(c_COMBC(_u12868, tc_fun(_u12868, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12868)), _u12870)))))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_min__max_Oinf__Sup1__distrib ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_min__max_Oinf__Sup1__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u12871) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12871), _u12872)) | ( _u12872 = c_Orderings_Obot__class_Obot(tc_fun(_u12871, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12871), _u12873), c_Big__Operators_Olattice_OSup__fin(_u12871, c_Orderings_Oord__class_Omax(_u12871), _u12872)) = c_Big__Operators_Olattice_OSup__fin(_u12871, c_Orderings_Oord__class_Omax(_u12871), hAPP(c_Set_OCollect(_u12871), hAPP(hAPP(c_COMBB(tc_fun(_u12871, tc_HOL_Obool), tc_HOL_Obool, _u12871), c_HOL_OEx(_u12871)), hAPP(hAPP(c_COMBC(_u12871, tc_fun(_u12871, tc_HOL_Obool), tc_fun(_u12871, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12871, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12871, tc_HOL_Obool), tc_fun(_u12871, tc_HOL_Obool)), _u12871), c_COMBS(_u12871, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12871, tc_HOL_Obool), tc_fun(_u12871, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12871), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12871), c_fconj)), hAPP(hAPP(c_COMBC(_u12871, tc_fun(_u12871, _u12871), tc_fun(_u12871, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12871, tc_HOL_Obool), tc_fun(tc_fun(_u12871, _u12871), tc_fun(_u12871, tc_HOL_Obool)), _u12871), c_COMBB(_u12871, tc_HOL_Obool, _u12871)), c_fequal)), hAPP(c_Orderings_Oord__class_Omin(_u12871), _u12873))))), hAPP(hAPP(c_COMBC(_u12871, tc_fun(_u12871, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12871)), _u12872)))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_finite__Collect__subsets ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_finite__Collect__subsets-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12874), _u12875)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u12874, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_fun(_u12874, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u12874, tc_HOL_Obool), tc_fun(_u12874, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u12874, tc_HOL_Obool))), _u12875)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Pow__Compl ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Pow__Compl-1, axiom, ( ( hAPP(c_Set_OPow(_u12876), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12876, tc_HOL_Obool)), _u12877)) = hAPP(c_Set_OCollect(tc_fun(_u12876, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12876, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u12876, tc_HOL_Obool)), c_HOL_OEx(tc_fun(_u12876, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u12876, tc_HOL_Obool), tc_fun(tc_fun(_u12876, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12876, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12876, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u12876, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12876, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u12876, tc_HOL_Obool)), c_COMBS(tc_fun(_u12876, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12876, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12876, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u12876, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u12876, tc_HOL_Obool)), c_fconj)), hAPP(hAPP(c_COMBC(tc_fun(_u12876, tc_HOL_Obool), tc_fun(tc_fun(_u12876, tc_HOL_Obool), tc_fun(_u12876, tc_HOL_Obool)), tc_fun(tc_fun(_u12876, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12876, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u12876, tc_HOL_Obool), tc_fun(_u12876, tc_HOL_Obool)), tc_fun(tc_fun(_u12876, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u12876, tc_HOL_Obool)), c_COMBB(tc_fun(_u12876, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u12876, tc_HOL_Obool))), c_fequal)), c_Groups_Ouminus__class_Ouminus(tc_fun(_u12876, tc_HOL_Obool)))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12876, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u12876, tc_HOL_Obool)), hAPP(c_member(tc_fun(_u12876, tc_HOL_Obool)), _u12877)), c_Set_OPow(_u12876)))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Pow__def ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Pow__def-1, axiom, ( ( hAPP(c_Set_OPow(_u12878), _u12879) = hAPP(c_Set_OCollect(tc_fun(_u12878, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u12878, tc_HOL_Obool), tc_fun(_u12878, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u12878, tc_HOL_Obool))), _u12879))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_finite__Collect__bounded__ex ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_finite__Collect__bounded__ex-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12882), hAPP(c_Set_OCollect(_u12882), _u12883))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12884), hAPP(c_Set_OCollect(_u12884), hAPP(hAPP(c_COMBB(tc_fun(_u12882, tc_HOL_Obool), tc_HOL_Obool, _u12884), c_HOL_OEx(_u12882)), hAPP(hAPP(c_COMBB(tc_fun(_u12882, tc_HOL_Obool), tc_fun(_u12882, tc_HOL_Obool), _u12884), hAPP(c_COMBS(_u12882, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12882), c_fconj), _u12883))), _u12885))))) | ~hBOOL(hAPP(_u12883, _u12880)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12884), hAPP(c_Set_OCollect(_u12884), hAPP(hAPP(c_COMBC(_u12884, _u12882, tc_HOL_Obool), _u12885), _u12880)))) )).
% 20.36/20.56 cnf(fact_finite__Collect__bounded__ex-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12882), hAPP(c_Set_OCollect(_u12882), _u12883))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12884), hAPP(c_Set_OCollect(_u12884), hAPP(hAPP(c_COMBB(tc_fun(_u12882, tc_HOL_Obool), tc_HOL_Obool, _u12884), c_HOL_OEx(_u12882)), hAPP(hAPP(c_COMBB(tc_fun(_u12882, tc_HOL_Obool), tc_fun(_u12882, tc_HOL_Obool), _u12884), hAPP(c_COMBS(_u12882, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12882), c_fconj), _u12883))), _u12885))))) | hBOOL(hAPP(_u12883, skolem315(_u12885, _u12884, _u12883, _u12882))) )).
% 20.36/20.56 cnf(fact_finite__Collect__bounded__ex-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12882), hAPP(c_Set_OCollect(_u12882), _u12883))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12884), hAPP(c_Set_OCollect(_u12884), hAPP(hAPP(c_COMBB(tc_fun(_u12882, tc_HOL_Obool), tc_HOL_Obool, _u12884), c_HOL_OEx(_u12882)), hAPP(hAPP(c_COMBB(tc_fun(_u12882, tc_HOL_Obool), tc_fun(_u12882, tc_HOL_Obool), _u12884), hAPP(c_COMBS(_u12882, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12882), c_fconj), _u12883))), _u12885))))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12884), hAPP(c_Set_OCollect(_u12884), hAPP(hAPP(c_COMBC(_u12884, _u12882, tc_HOL_Obool), _u12885), skolem315(_u12885, _u12884, _u12883, _u12882))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_finite__image__set ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_finite__image__set-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12886), hAPP(c_Set_OCollect(_u12886), _u12887))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12888), hAPP(c_Set_OCollect(_u12888), hAPP(hAPP(c_COMBB(tc_fun(_u12886, tc_HOL_Obool), tc_HOL_Obool, _u12888), c_HOL_OEx(_u12886)), hAPP(hAPP(c_COMBC(_u12888, tc_fun(_u12886, tc_HOL_Obool), tc_fun(_u12886, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12886, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12886, tc_HOL_Obool), tc_fun(_u12886, tc_HOL_Obool)), _u12888), c_COMBS(_u12886, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12886, tc_HOL_Obool), tc_fun(_u12886, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12888), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12886), c_fconj)), hAPP(hAPP(c_COMBC(_u12888, tc_fun(_u12886, _u12888), tc_fun(_u12886, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12888, tc_HOL_Obool), tc_fun(tc_fun(_u12886, _u12888), tc_fun(_u12886, tc_HOL_Obool)), _u12888), c_COMBB(_u12888, tc_HOL_Obool, _u12886)), c_fequal)), _u12889)))), _u12887))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_inj__graph ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_inj__graph-1, axiom, ( c_Fun_Oinj__on(tc_fun(_u12890, _u12891), tc_fun(tc_prod(_u12890, _u12891), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u12890, _u12891), tc_HOL_Obool), tc_fun(tc_prod(_u12890, _u12891), tc_HOL_Obool), tc_fun(_u12890, _u12891)), c_Set_OCollect(tc_prod(_u12890, _u12891))), hAPP(hAPP(c_COMBB(tc_fun(_u12890, tc_fun(_u12891, tc_HOL_Obool)), tc_fun(tc_prod(_u12890, _u12891), tc_HOL_Obool), tc_fun(_u12890, _u12891)), c_Product__Type_Oprod_Oprod__case(_u12890, _u12891, tc_HOL_Obool)), hAPP(c_COMBB(_u12891, tc_fun(_u12891, tc_HOL_Obool), _u12890), hAPP(c_COMBC(_u12891, _u12891, tc_HOL_Obool), c_fequal)))), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u12890, _u12891), tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J ( axiom ) converted to clauses:
% 20.36/20.56 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)))), _u12892))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_finite__psubset__def ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_finite__psubset__def-1, axiom, ( ( c_Wellfounded_Ofinite__psubset(_u12893) = hAPP(c_Set_OCollect(tc_prod(tc_fun(_u12893, tc_HOL_Obool), tc_fun(_u12893, tc_HOL_Obool))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(_u12893, tc_HOL_Obool), tc_fun(_u12893, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u12893, tc_HOL_Obool), tc_fun(tc_fun(_u12893, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12893, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12893, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u12893, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12893, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u12893, tc_HOL_Obool)), c_COMBS(tc_fun(_u12893, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12893, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12893, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u12893, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u12893, tc_HOL_Obool)), c_fconj)), c_Orderings_Oord__class_Oless(tc_fun(_u12893, tc_HOL_Obool))))), c_Finite__Set_Ofinite(_u12893))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_inv__image__def ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_inv__image__def-1, axiom, ( ( hAPP(hAPP(c_Relation_Oinv__image(_u12894, _u12895), _u12896), _u12897) = hAPP(c_Set_OCollect(tc_prod(_u12895, _u12895)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12895, _u12895, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12895, tc_fun(tc_prod(_u12894, _u12894), tc_HOL_Obool), tc_fun(_u12895, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12895, tc_fun(tc_fun(tc_prod(_u12894, _u12894), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12894, _u12894), tc_HOL_Obool), tc_fun(_u12895, tc_HOL_Obool)), _u12895), c_COMBC(_u12895, tc_fun(tc_prod(_u12894, _u12894), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12895, tc_prod(_u12894, _u12894)), tc_fun(_u12895, tc_fun(tc_fun(tc_prod(_u12894, _u12894), tc_HOL_Obool), tc_HOL_Obool)), _u12895), hAPP(c_COMBB(tc_prod(_u12894, _u12894), tc_fun(tc_fun(tc_prod(_u12894, _u12894), tc_HOL_Obool), tc_HOL_Obool), _u12895), c_member(tc_prod(_u12894, _u12894)))), hAPP(hAPP(c_COMBC(_u12895, tc_fun(_u12895, _u12894), tc_fun(_u12895, tc_prod(_u12894, _u12894))), hAPP(hAPP(c_COMBB(tc_fun(_u12894, tc_prod(_u12894, _u12894)), tc_fun(tc_fun(_u12895, _u12894), tc_fun(_u12895, tc_prod(_u12894, _u12894))), _u12895), c_COMBB(_u12894, tc_prod(_u12894, _u12894), _u12895)), hAPP(hAPP(c_COMBB(_u12894, tc_fun(_u12894, tc_prod(_u12894, _u12894)), _u12895), c_Product__Type_OPair(_u12894, _u12894)), _u12897))), _u12897)))), _u12896)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J ( axiom ) converted to clauses:
% 20.36/20.56 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)))), _u12898)) = 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), _u12898), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J-1, axiom, ( ( hAPP(c_Set_OCollect(tc_Nat_Onat), _u12899) = 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), _u12899), c_Int_Onat))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_add__Min__commute ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_add__Min__commute-1, axiom, ( ~class_Groups_Olinordered__ab__semigroup__add(_u12900) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12900), _u12901)) | ( _u12901 = c_Orderings_Obot__class_Obot(tc_fun(_u12900, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12900), _u12902), c_Big__Operators_Olinorder__class_OMin(_u12900, _u12901)) = c_Big__Operators_Olinorder__class_OMin(_u12900, hAPP(c_Set_OCollect(_u12900), hAPP(hAPP(c_COMBB(tc_fun(_u12900, tc_HOL_Obool), tc_HOL_Obool, _u12900), c_HOL_OEx(_u12900)), hAPP(hAPP(c_COMBC(_u12900, tc_fun(_u12900, tc_HOL_Obool), tc_fun(_u12900, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12900, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12900, tc_HOL_Obool), tc_fun(_u12900, tc_HOL_Obool)), _u12900), c_COMBS(_u12900, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12900, tc_HOL_Obool), tc_fun(_u12900, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12900), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12900), c_fconj)), hAPP(hAPP(c_COMBC(_u12900, tc_fun(_u12900, _u12900), tc_fun(_u12900, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12900, tc_HOL_Obool), tc_fun(tc_fun(_u12900, _u12900), tc_fun(_u12900, tc_HOL_Obool)), _u12900), c_COMBB(_u12900, tc_HOL_Obool, _u12900)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u12900), _u12902))))), hAPP(hAPP(c_COMBC(_u12900, tc_fun(_u12900, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12900)), _u12901)))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_add__Max__commute ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_add__Max__commute-1, axiom, ( ~class_Groups_Olinordered__ab__semigroup__add(_u12903) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12903), _u12904)) | ( _u12904 = c_Orderings_Obot__class_Obot(tc_fun(_u12903, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12903), _u12905), c_Big__Operators_Olinorder__class_OMax(_u12903, _u12904)) = c_Big__Operators_Olinorder__class_OMax(_u12903, hAPP(c_Set_OCollect(_u12903), hAPP(hAPP(c_COMBB(tc_fun(_u12903, tc_HOL_Obool), tc_HOL_Obool, _u12903), c_HOL_OEx(_u12903)), hAPP(hAPP(c_COMBC(_u12903, tc_fun(_u12903, tc_HOL_Obool), tc_fun(_u12903, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12903, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12903, tc_HOL_Obool), tc_fun(_u12903, tc_HOL_Obool)), _u12903), c_COMBS(_u12903, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12903, tc_HOL_Obool), tc_fun(_u12903, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12903), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12903), c_fconj)), hAPP(hAPP(c_COMBC(_u12903, tc_fun(_u12903, _u12903), tc_fun(_u12903, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12903, tc_HOL_Obool), tc_fun(tc_fun(_u12903, _u12903), tc_fun(_u12903, tc_HOL_Obool)), _u12903), c_COMBB(_u12903, tc_HOL_Obool, _u12903)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u12903), _u12905))))), hAPP(hAPP(c_COMBC(_u12903, tc_fun(_u12903, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12903)), _u12904)))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_sup__Inf2__distrib ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_sup__Inf2__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u12906) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12906), _u12907)) | ( _u12907 = c_Orderings_Obot__class_Obot(tc_fun(_u12906, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12906), _u12908)) | ( _u12908 = c_Orderings_Obot__class_Obot(tc_fun(_u12906, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12906), c_Big__Operators_Olattice__class_OInf__fin(_u12906, _u12907)), c_Big__Operators_Olattice__class_OInf__fin(_u12906, _u12908)) = c_Big__Operators_Olattice__class_OInf__fin(_u12906, hAPP(c_Set_OCollect(_u12906), hAPP(hAPP(c_COMBB(tc_fun(_u12906, tc_HOL_Obool), tc_HOL_Obool, _u12906), c_HOL_OEx(_u12906)), hAPP(hAPP(c_COMBB(tc_fun(_u12906, tc_fun(_u12906, tc_HOL_Obool)), tc_fun(_u12906, tc_HOL_Obool), _u12906), hAPP(c_COMBB(tc_fun(_u12906, tc_HOL_Obool), tc_HOL_Obool, _u12906), c_HOL_OEx(_u12906))), hAPP(hAPP(c_COMBC(_u12906, tc_fun(_u12906, tc_fun(_u12906, tc_HOL_Obool)), tc_fun(_u12906, tc_fun(_u12906, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12906, tc_fun(tc_fun(_u12906, tc_HOL_Obool), tc_fun(_u12906, tc_HOL_Obool))), tc_fun(tc_fun(_u12906, tc_fun(_u12906, tc_HOL_Obool)), tc_fun(_u12906, tc_fun(_u12906, tc_HOL_Obool))), _u12906), c_COMBS(_u12906, tc_fun(_u12906, tc_HOL_Obool), tc_fun(_u12906, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12906, tc_fun(_u12906, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u12906, tc_fun(tc_fun(_u12906, tc_HOL_Obool), tc_fun(_u12906, tc_HOL_Obool))), _u12906), hAPP(c_COMBB(tc_fun(_u12906, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12906, tc_HOL_Obool), tc_fun(_u12906, tc_HOL_Obool)), _u12906), c_COMBS(_u12906, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12906, tc_fun(_u12906, tc_HOL_Obool)), tc_fun(_u12906, tc_fun(_u12906, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u12906), hAPP(c_COMBB(tc_fun(_u12906, tc_HOL_Obool), tc_fun(_u12906, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12906), 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_fun(_u12906, _u12906)), tc_fun(_u12906, tc_fun(_u12906, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12906, _u12906), tc_fun(_u12906, tc_HOL_Obool)), tc_fun(tc_fun(_u12906, tc_fun(_u12906, _u12906)), tc_fun(_u12906, tc_fun(_u12906, tc_HOL_Obool))), _u12906), c_COMBB(tc_fun(_u12906, _u12906), tc_fun(_u12906, tc_HOL_Obool), _u12906)), hAPP(hAPP(c_COMBB(tc_fun(_u12906, tc_HOL_Obool), tc_fun(tc_fun(_u12906, _u12906), tc_fun(_u12906, tc_HOL_Obool)), _u12906), c_COMBB(_u12906, tc_HOL_Obool, _u12906)), c_fequal))), c_Lattices_Osemilattice__sup__class_Osup(_u12906)))))), hAPP(hAPP(c_COMBC(_u12906, tc_fun(_u12906, tc_HOL_Obool), tc_fun(_u12906, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12906, tc_HOL_Obool), tc_fun(_u12906, tc_HOL_Obool)), _u12906), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12906)), 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_COMBC(_u12906, tc_fun(_u12906, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12906)), _u12908)))))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_sup__Inf1__distrib ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_sup__Inf1__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u12909) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12909), _u12910)) | ( _u12910 = c_Orderings_Obot__class_Obot(tc_fun(_u12909, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12909), _u12911), c_Big__Operators_Olattice__class_OInf__fin(_u12909, _u12910)) = c_Big__Operators_Olattice__class_OInf__fin(_u12909, hAPP(c_Set_OCollect(_u12909), hAPP(hAPP(c_COMBB(tc_fun(_u12909, tc_HOL_Obool), tc_HOL_Obool, _u12909), c_HOL_OEx(_u12909)), hAPP(hAPP(c_COMBC(_u12909, tc_fun(_u12909, tc_HOL_Obool), tc_fun(_u12909, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12909, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12909, tc_HOL_Obool), tc_fun(_u12909, tc_HOL_Obool)), _u12909), c_COMBS(_u12909, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12909, tc_HOL_Obool), tc_fun(_u12909, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12909), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12909), c_fconj)), hAPP(hAPP(c_COMBC(_u12909, tc_fun(_u12909, _u12909), tc_fun(_u12909, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12909, tc_HOL_Obool), tc_fun(tc_fun(_u12909, _u12909), tc_fun(_u12909, tc_HOL_Obool)), _u12909), c_COMBB(_u12909, tc_HOL_Obool, _u12909)), c_fequal)), hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12909), _u12911))))), hAPP(hAPP(c_COMBC(_u12909, tc_fun(_u12909, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12909)), _u12910)))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_inf__Sup2__distrib ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_inf__Sup2__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u12912) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12912), _u12913)) | ( _u12913 = c_Orderings_Obot__class_Obot(tc_fun(_u12912, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12912), _u12914)) | ( _u12914 = c_Orderings_Obot__class_Obot(tc_fun(_u12912, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12912), c_Big__Operators_Olattice__class_OSup__fin(_u12912, _u12913)), c_Big__Operators_Olattice__class_OSup__fin(_u12912, _u12914)) = c_Big__Operators_Olattice__class_OSup__fin(_u12912, hAPP(c_Set_OCollect(_u12912), hAPP(hAPP(c_COMBB(tc_fun(_u12912, tc_HOL_Obool), tc_HOL_Obool, _u12912), c_HOL_OEx(_u12912)), hAPP(hAPP(c_COMBB(tc_fun(_u12912, tc_fun(_u12912, tc_HOL_Obool)), tc_fun(_u12912, tc_HOL_Obool), _u12912), hAPP(c_COMBB(tc_fun(_u12912, tc_HOL_Obool), tc_HOL_Obool, _u12912), c_HOL_OEx(_u12912))), hAPP(hAPP(c_COMBC(_u12912, tc_fun(_u12912, tc_fun(_u12912, tc_HOL_Obool)), tc_fun(_u12912, tc_fun(_u12912, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12912, tc_fun(tc_fun(_u12912, tc_HOL_Obool), tc_fun(_u12912, tc_HOL_Obool))), tc_fun(tc_fun(_u12912, tc_fun(_u12912, tc_HOL_Obool)), tc_fun(_u12912, tc_fun(_u12912, tc_HOL_Obool))), _u12912), c_COMBS(_u12912, tc_fun(_u12912, tc_HOL_Obool), tc_fun(_u12912, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12912, tc_fun(_u12912, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u12912, tc_fun(tc_fun(_u12912, tc_HOL_Obool), tc_fun(_u12912, tc_HOL_Obool))), _u12912), hAPP(c_COMBB(tc_fun(_u12912, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12912, tc_HOL_Obool), tc_fun(_u12912, tc_HOL_Obool)), _u12912), c_COMBS(_u12912, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12912, tc_fun(_u12912, tc_HOL_Obool)), tc_fun(_u12912, tc_fun(_u12912, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u12912), hAPP(c_COMBB(tc_fun(_u12912, tc_HOL_Obool), tc_fun(_u12912, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12912), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12912), c_fconj))), hAPP(hAPP(c_COMBC(_u12912, tc_fun(_u12912, tc_fun(_u12912, _u12912)), tc_fun(_u12912, tc_fun(_u12912, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12912, _u12912), tc_fun(_u12912, tc_HOL_Obool)), tc_fun(tc_fun(_u12912, tc_fun(_u12912, _u12912)), tc_fun(_u12912, tc_fun(_u12912, tc_HOL_Obool))), _u12912), c_COMBB(tc_fun(_u12912, _u12912), tc_fun(_u12912, tc_HOL_Obool), _u12912)), hAPP(hAPP(c_COMBB(tc_fun(_u12912, tc_HOL_Obool), tc_fun(tc_fun(_u12912, _u12912), tc_fun(_u12912, tc_HOL_Obool)), _u12912), c_COMBB(_u12912, tc_HOL_Obool, _u12912)), c_fequal))), c_Lattices_Osemilattice__inf__class_Oinf(_u12912)))))), hAPP(hAPP(c_COMBC(_u12912, tc_fun(_u12912, tc_HOL_Obool), tc_fun(_u12912, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12912, tc_HOL_Obool), tc_fun(_u12912, tc_HOL_Obool)), _u12912), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12912)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12912), c_fconj), hAPP(hAPP(c_COMBC(_u12912, tc_fun(_u12912, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12912)), _u12913)))), hAPP(hAPP(c_COMBC(_u12912, tc_fun(_u12912, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12912)), _u12914)))))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_inf__Sup1__distrib ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_inf__Sup1__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u12915) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12915), _u12916)) | ( _u12916 = c_Orderings_Obot__class_Obot(tc_fun(_u12915, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12915), _u12917), c_Big__Operators_Olattice__class_OSup__fin(_u12915, _u12916)) = c_Big__Operators_Olattice__class_OSup__fin(_u12915, hAPP(c_Set_OCollect(_u12915), hAPP(hAPP(c_COMBB(tc_fun(_u12915, tc_HOL_Obool), tc_HOL_Obool, _u12915), c_HOL_OEx(_u12915)), hAPP(hAPP(c_COMBC(_u12915, tc_fun(_u12915, tc_HOL_Obool), tc_fun(_u12915, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12915, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12915, tc_HOL_Obool), tc_fun(_u12915, tc_HOL_Obool)), _u12915), c_COMBS(_u12915, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12915, tc_HOL_Obool), tc_fun(_u12915, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12915), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12915), c_fconj)), hAPP(hAPP(c_COMBC(_u12915, tc_fun(_u12915, _u12915), tc_fun(_u12915, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12915, tc_HOL_Obool), tc_fun(tc_fun(_u12915, _u12915), tc_fun(_u12915, tc_HOL_Obool)), _u12915), c_COMBB(_u12915, tc_HOL_Obool, _u12915)), c_fequal)), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12915), _u12917))))), hAPP(hAPP(c_COMBC(_u12915, tc_fun(_u12915, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12915)), _u12916)))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_min__max_Osup__Inf1__distrib ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_min__max_Osup__Inf1__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u12918) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12918), _u12919)) | ( _u12919 = c_Orderings_Obot__class_Obot(tc_fun(_u12918, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12918), _u12920), c_Big__Operators_Olattice_OInf__fin(_u12918, c_Orderings_Oord__class_Omin(_u12918), _u12919)) = c_Big__Operators_Olattice_OInf__fin(_u12918, c_Orderings_Oord__class_Omin(_u12918), hAPP(c_Set_OCollect(_u12918), hAPP(hAPP(c_COMBB(tc_fun(_u12918, tc_HOL_Obool), tc_HOL_Obool, _u12918), c_HOL_OEx(_u12918)), hAPP(hAPP(c_COMBC(_u12918, tc_fun(_u12918, tc_HOL_Obool), tc_fun(_u12918, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12918, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12918, tc_HOL_Obool), tc_fun(_u12918, tc_HOL_Obool)), _u12918), c_COMBS(_u12918, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12918, tc_HOL_Obool), tc_fun(_u12918, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12918), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12918), c_fconj)), hAPP(hAPP(c_COMBC(_u12918, tc_fun(_u12918, _u12918), tc_fun(_u12918, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12918, tc_HOL_Obool), tc_fun(tc_fun(_u12918, _u12918), tc_fun(_u12918, tc_HOL_Obool)), _u12918), c_COMBB(_u12918, tc_HOL_Obool, _u12918)), c_fequal)), hAPP(c_Orderings_Oord__class_Omax(_u12918), _u12920))))), hAPP(hAPP(c_COMBC(_u12918, tc_fun(_u12918, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12918)), _u12919)))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_min__max_Osup__Inf2__distrib ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_min__max_Osup__Inf2__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u12921) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12921), _u12922)) | ( _u12922 = c_Orderings_Obot__class_Obot(tc_fun(_u12921, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12921), _u12923)) | ( _u12923 = c_Orderings_Obot__class_Obot(tc_fun(_u12921, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12921), c_Big__Operators_Olattice_OInf__fin(_u12921, c_Orderings_Oord__class_Omin(_u12921), _u12922)), c_Big__Operators_Olattice_OInf__fin(_u12921, c_Orderings_Oord__class_Omin(_u12921), _u12923)) = c_Big__Operators_Olattice_OInf__fin(_u12921, c_Orderings_Oord__class_Omin(_u12921), hAPP(c_Set_OCollect(_u12921), hAPP(hAPP(c_COMBB(tc_fun(_u12921, tc_HOL_Obool), tc_HOL_Obool, _u12921), c_HOL_OEx(_u12921)), hAPP(hAPP(c_COMBB(tc_fun(_u12921, tc_fun(_u12921, tc_HOL_Obool)), tc_fun(_u12921, tc_HOL_Obool), _u12921), hAPP(c_COMBB(tc_fun(_u12921, tc_HOL_Obool), tc_HOL_Obool, _u12921), c_HOL_OEx(_u12921))), hAPP(hAPP(c_COMBC(_u12921, tc_fun(_u12921, tc_fun(_u12921, tc_HOL_Obool)), tc_fun(_u12921, tc_fun(_u12921, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12921, tc_fun(tc_fun(_u12921, tc_HOL_Obool), tc_fun(_u12921, tc_HOL_Obool))), tc_fun(tc_fun(_u12921, tc_fun(_u12921, tc_HOL_Obool)), tc_fun(_u12921, tc_fun(_u12921, tc_HOL_Obool))), _u12921), c_COMBS(_u12921, tc_fun(_u12921, tc_HOL_Obool), tc_fun(_u12921, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12921, tc_fun(_u12921, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u12921, tc_fun(tc_fun(_u12921, tc_HOL_Obool), tc_fun(_u12921, tc_HOL_Obool))), _u12921), hAPP(c_COMBB(tc_fun(_u12921, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12921, tc_HOL_Obool), tc_fun(_u12921, tc_HOL_Obool)), _u12921), c_COMBS(_u12921, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12921, tc_fun(_u12921, tc_HOL_Obool)), tc_fun(_u12921, tc_fun(_u12921, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u12921), hAPP(c_COMBB(tc_fun(_u12921, tc_HOL_Obool), tc_fun(_u12921, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12921), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12921), c_fconj))), hAPP(hAPP(c_COMBC(_u12921, tc_fun(_u12921, tc_fun(_u12921, _u12921)), tc_fun(_u12921, tc_fun(_u12921, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12921, _u12921), tc_fun(_u12921, tc_HOL_Obool)), tc_fun(tc_fun(_u12921, tc_fun(_u12921, _u12921)), tc_fun(_u12921, tc_fun(_u12921, tc_HOL_Obool))), _u12921), c_COMBB(tc_fun(_u12921, _u12921), tc_fun(_u12921, tc_HOL_Obool), _u12921)), hAPP(hAPP(c_COMBB(tc_fun(_u12921, tc_HOL_Obool), tc_fun(tc_fun(_u12921, _u12921), tc_fun(_u12921, tc_HOL_Obool)), _u12921), c_COMBB(_u12921, tc_HOL_Obool, _u12921)), c_fequal))), c_Orderings_Oord__class_Omax(_u12921)))))), hAPP(hAPP(c_COMBC(_u12921, tc_fun(_u12921, tc_HOL_Obool), tc_fun(_u12921, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12921, tc_HOL_Obool), tc_fun(_u12921, tc_HOL_Obool)), _u12921), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12921)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12921), c_fconj), hAPP(hAPP(c_COMBC(_u12921, tc_fun(_u12921, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12921)), _u12922)))), hAPP(hAPP(c_COMBC(_u12921, tc_fun(_u12921, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12921)), _u12923)))))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Nitpick_Oprod__def ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Nitpick_Oprod__def-1, axiom, ( ( c_Nitpick_Oprod(_u12924, _u12925, _u12926, _u12927) = hAPP(c_Set_OCollect(tc_prod(_u12924, _u12925)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12924, _u12925, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12924, tc_fun(_u12925, tc_HOL_Obool), tc_fun(_u12925, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12925, tc_HOL_Obool), tc_fun(_u12925, tc_HOL_Obool)), _u12924), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12925)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12924), c_fconj), hAPP(hAPP(c_COMBC(_u12924, tc_fun(_u12924, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12924)), _u12926)))), hAPP(hAPP(c_COMBC(_u12925, tc_fun(_u12925, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12925)), _u12927))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_int__ge__less__than__def ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_int__ge__less__than__def-1, axiom, ( ( c_Int_Oint__ge__less__than(_u12928) = 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), _u12928)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_int__ge__less__than2__def ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_int__ge__less__than2__def-1, axiom, ( ( c_Int_Oint__ge__less__than2(_u12929) = 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), _u12929)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_reflp__def ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_reflp__def-1, axiom, ( ~c_Predicate_Oreflp(_u12932, _u12934) | c_Relation_Orefl__on(_u12932, c_Orderings_Otop__class_Otop(tc_fun(_u12932, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u12932, _u12932)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12932, _u12932, tc_HOL_Obool), _u12934))) )).
% 20.36/20.56 cnf(fact_reflp__def-2, axiom, ( ~c_Relation_Orefl__on(_u12933, c_Orderings_Otop__class_Otop(tc_fun(_u12933, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u12933, _u12933)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12933, _u12933, tc_HOL_Obool), _u12935))) | c_Predicate_Oreflp(_u12933, _u12935) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_setsum__mult__setsum__if__inj ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_setsum__mult__setsum__if__inj-1, axiom, ( ~class_Rings_Osemiring__0(_u12936) | ~c_Fun_Oinj__on(tc_prod(_u12937, _u12938), _u12936, hAPP(c_Product__Type_Oprod_Oprod__case(_u12937, _u12938, _u12936), hAPP(hAPP(c_COMBC(_u12937, tc_fun(_u12938, _u12936), tc_fun(_u12938, _u12936)), hAPP(hAPP(c_COMBB(tc_fun(_u12936, _u12936), tc_fun(tc_fun(_u12938, _u12936), tc_fun(_u12938, _u12936)), _u12937), c_COMBB(_u12936, _u12936, _u12938)), hAPP(hAPP(c_COMBB(_u12936, tc_fun(_u12936, _u12936), _u12937), c_Groups_Otimes__class_Otimes(_u12936)), _u12939))), _u12940)), hAPP(hAPP(c_Product__Type_OSigma(_u12937, _u12938), _u12941), hAPP(c_COMBK(tc_fun(_u12938, tc_HOL_Obool), _u12937), _u12942))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12936), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12937, _u12936), _u12939), _u12941)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12938, _u12936), _u12940), _u12942)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12936, _u12936), c_Fun_Oid(_u12936)), hAPP(c_Set_OCollect(_u12936), hAPP(hAPP(c_COMBB(tc_fun(_u12937, tc_HOL_Obool), tc_HOL_Obool, _u12936), c_HOL_OEx(_u12937)), hAPP(hAPP(c_COMBB(tc_fun(_u12937, tc_fun(_u12938, tc_HOL_Obool)), tc_fun(_u12937, tc_HOL_Obool), _u12936), hAPP(c_COMBB(tc_fun(_u12938, tc_HOL_Obool), tc_HOL_Obool, _u12937), c_HOL_OEx(_u12938))), hAPP(hAPP(c_COMBC(_u12936, tc_fun(_u12937, tc_fun(_u12938, tc_HOL_Obool)), tc_fun(_u12937, tc_fun(_u12938, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12937, tc_fun(tc_fun(_u12938, tc_HOL_Obool), tc_fun(_u12938, tc_HOL_Obool))), tc_fun(tc_fun(_u12937, tc_fun(_u12938, tc_HOL_Obool)), tc_fun(_u12937, tc_fun(_u12938, tc_HOL_Obool))), _u12936), c_COMBS(_u12937, tc_fun(_u12938, tc_HOL_Obool), tc_fun(_u12938, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12937, tc_fun(_u12938, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u12937, tc_fun(tc_fun(_u12938, tc_HOL_Obool), tc_fun(_u12938, tc_HOL_Obool))), _u12936), hAPP(c_COMBB(tc_fun(_u12938, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12938, tc_HOL_Obool), tc_fun(_u12938, tc_HOL_Obool)), _u12937), c_COMBS(_u12938, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12937, tc_fun(_u12938, tc_HOL_Obool)), tc_fun(_u12937, tc_fun(_u12938, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u12936), hAPP(c_COMBB(tc_fun(_u12938, tc_HOL_Obool), tc_fun(_u12938, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12937), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12938), c_fconj))), hAPP(hAPP(c_COMBC(_u12936, tc_fun(_u12937, tc_fun(_u12938, _u12936)), tc_fun(_u12937, tc_fun(_u12938, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12938, _u12936), tc_fun(_u12938, tc_HOL_Obool)), tc_fun(tc_fun(_u12937, tc_fun(_u12938, _u12936)), tc_fun(_u12937, tc_fun(_u12938, tc_HOL_Obool))), _u12936), c_COMBB(tc_fun(_u12938, _u12936), tc_fun(_u12938, tc_HOL_Obool), _u12937)), hAPP(hAPP(c_COMBB(tc_fun(_u12936, tc_HOL_Obool), tc_fun(tc_fun(_u12938, _u12936), tc_fun(_u12938, tc_HOL_Obool)), _u12936), c_COMBB(_u12936, tc_HOL_Obool, _u12938)), c_fequal))), hAPP(hAPP(c_COMBC(_u12937, tc_fun(_u12938, _u12936), tc_fun(_u12938, _u12936)), hAPP(hAPP(c_COMBB(tc_fun(_u12936, _u12936), tc_fun(tc_fun(_u12938, _u12936), tc_fun(_u12938, _u12936)), _u12937), c_COMBB(_u12936, _u12936, _u12938)), hAPP(hAPP(c_COMBB(_u12936, tc_fun(_u12936, _u12936), _u12937), c_Groups_Otimes__class_Otimes(_u12936)), _u12939))), _u12940)))))), hAPP(hAPP(c_COMBC(_u12937, tc_fun(_u12938, tc_HOL_Obool), tc_fun(_u12938, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12938, tc_HOL_Obool), tc_fun(_u12938, tc_HOL_Obool)), _u12937), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12938)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12937), c_fconj), hAPP(hAPP(c_COMBC(_u12937, tc_fun(_u12937, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12937)), _u12941)))), hAPP(hAPP(c_COMBC(_u12938, tc_fun(_u12938, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12938)), _u12942)))))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_setsum__multicount__gen ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_setsum__multicount__gen-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12944), _u12945)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12946), _u12947)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12944, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u12946, tc_HOL_Obool), tc_Nat_Onat, _u12944), c_Finite__Set_Ocard(_u12946)), hAPP(hAPP(c_COMBB(tc_fun(_u12946, tc_HOL_Obool), tc_fun(_u12946, tc_HOL_Obool), _u12944), c_Set_OCollect(_u12946)), hAPP(hAPP(c_COMBB(tc_fun(_u12946, tc_HOL_Obool), tc_fun(_u12946, tc_HOL_Obool), _u12944), hAPP(c_COMBS(_u12946, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12946), c_fconj), hAPP(hAPP(c_COMBC(_u12946, tc_fun(_u12946, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12946)), _u12947)))), _u12948)))), _u12945) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12946, tc_Nat_Onat), _u12949), _u12947)) | hBOOL(hAPP(hAPP(c_member(_u12946), skolem316(_u12949, _u12948, _u12947, _u12946, _u12945, _u12944)), _u12947)) )).
% 20.36/20.56 cnf(fact_setsum__multicount__gen-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12944), _u12945)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12946), _u12947)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12944, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u12946, tc_HOL_Obool), tc_Nat_Onat, _u12944), c_Finite__Set_Ocard(_u12946)), hAPP(hAPP(c_COMBB(tc_fun(_u12946, tc_HOL_Obool), tc_fun(_u12946, tc_HOL_Obool), _u12944), c_Set_OCollect(_u12946)), hAPP(hAPP(c_COMBB(tc_fun(_u12946, tc_HOL_Obool), tc_fun(_u12946, tc_HOL_Obool), _u12944), hAPP(c_COMBS(_u12946, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12946), c_fconj), hAPP(hAPP(c_COMBC(_u12946, tc_fun(_u12946, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12946)), _u12947)))), _u12948)))), _u12945) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12946, tc_Nat_Onat), _u12949), _u12947)) | ( hAPP(c_Finite__Set_Ocard(_u12944), hAPP(c_Set_OCollect(_u12944), hAPP(hAPP(c_COMBS(_u12944, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12944), c_fconj), hAPP(hAPP(c_COMBC(_u12944, tc_fun(_u12944, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12944)), _u12945))), hAPP(hAPP(c_COMBC(_u12944, _u12946, tc_HOL_Obool), _u12948), skolem316(_u12949, _u12948, _u12947, _u12946, _u12945, _u12944))))) != hAPP(_u12949, skolem316(_u12949, _u12948, _u12947, _u12946, _u12945, _u12944))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_inj__on__id ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_inj__on__id-1, axiom, ( c_Fun_Oinj__on(_u12950, _u12950, c_Fun_Oid(_u12950), _u12951) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_apsnd__id ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_apsnd__id-1, axiom, ( ( c_Product__Type_Oapsnd(_u12952, _u12952, _u12953, c_Fun_Oid(_u12952)) = c_Fun_Oid(tc_prod(_u12953, _u12952))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_reflpE ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_reflpE-1, axiom, ( hBOOL(hAPP(hAPP(_u12955, _u12956), _u12956)) | ~c_Predicate_Oreflp(_u12954, _u12955) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_apfst__id ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_apfst__id-1, axiom, ( ( c_Product__Type_Oapfst(_u12957, _u12957, _u12958, c_Fun_Oid(_u12957)) = c_Fun_Oid(tc_prod(_u12957, _u12958))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_id__def ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_id__def-1, axiom, ( ( hAPP(c_Fun_Oid(_u12959), _u12960) = _u12960) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_id__apply ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_id__apply-1, axiom, ( ( hAPP(c_Fun_Oid(_u12961), _u12962) = _u12962) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_vimage__id ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_vimage__id-1, axiom, ( ( hAPP(c_Set_Ovimage(_u12963, _u12963, c_Fun_Oid(_u12963)), _u12964) = _u12964) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_map__pair_Oidentity ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_map__pair_Oidentity-1, axiom, ( ( c_Product__Type_Omap__pair(_u12965, _u12965, _u12966, _u12966, c_COMBI(_u12965), c_COMBI(_u12966)) = c_Fun_Oid(tc_prod(_u12965, _u12966))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_map__pair_Oid ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_map__pair_Oid-1, axiom, ( ( c_Product__Type_Omap__pair(_u12967, _u12967, _u12968, _u12968, c_Fun_Oid(_u12967), c_Fun_Oid(_u12968)) = c_Fun_Oid(tc_prod(_u12967, _u12968))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_image__id ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_image__id-1, axiom, ( ( hAPP(c_Set_Oimage(_u12969, _u12969, c_Fun_Oid(_u12969)), _u12970) = _u12970) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_of__int__eq__id ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_of__int__eq__id-1, axiom, ( ( c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_surj__id ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_surj__id-1, axiom, ( ( hAPP(c_Set_Oimage(_u12971, _u12971, c_Fun_Oid(_u12971)), c_Orderings_Otop__class_Otop(tc_fun(_u12971, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u12971, tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_apsnd__def ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_apsnd__def-1, axiom, ( ( c_Product__Type_Oapsnd(_u12972, _u12973, _u12974, _u12975) = c_Product__Type_Omap__pair(_u12974, _u12974, _u12972, _u12973, c_Fun_Oid(_u12974), _u12975)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_apfst__def ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_apfst__def-1, axiom, ( ( c_Product__Type_Oapfst(_u12976, _u12977, _u12978, _u12979) = c_Product__Type_Omap__pair(_u12976, _u12977, _u12978, _u12978, _u12979, c_Fun_Oid(_u12978))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_split__Pair ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_split__Pair-1, axiom, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u12980, _u12981, tc_prod(_u12980, _u12981)), c_Product__Type_OPair(_u12980, _u12981)) = c_Fun_Oid(tc_prod(_u12980, _u12981))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_setsum__reindex__id ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_setsum__reindex__id-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12982) | ~c_Fun_Oinj__on(_u12983, _u12982, _u12984, _u12985) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12983, _u12982), _u12984), _u12985) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12982, _u12982), c_Fun_Oid(_u12982)), hAPP(c_Set_Oimage(_u12983, _u12982, _u12984), _u12985))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_setprod__reindex__id ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_setprod__reindex__id-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12986) | ~c_Fun_Oinj__on(_u12987, _u12986, _u12988, _u12989) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12987, _u12986), _u12988), _u12989) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12986, _u12986), c_Fun_Oid(_u12986)), hAPP(c_Set_Oimage(_u12987, _u12986, _u12988), _u12989))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_finite__conv__nat__seg__image ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_finite__conv__nat__seg__image-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12996), _u12998)) | ( _u12998 = hAPP(c_Set_Oimage(tc_Nat_Onat, _u12996, skolem318(_u12998, _u12996)), 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)), skolem317(_u12998, _u12996))))) )).
% 20.36/20.56 cnf(fact_finite__conv__nat__seg__image-2, axiom, ( ( _u12999 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u12997, _u12992), 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)), _u12993)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12997), _u12999)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_rel__comp__def ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_rel__comp__def-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13000, _u13001, _u13002), _u13003), _u13004) = hAPP(c_Set_OCollect(tc_prod(_u13000, _u13002)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13000, _u13002, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u13002, tc_fun(_u13001, tc_HOL_Obool)), tc_fun(_u13002, tc_HOL_Obool), _u13000), hAPP(c_COMBB(tc_fun(_u13001, tc_HOL_Obool), tc_HOL_Obool, _u13002), c_HOL_OEx(_u13001))), hAPP(hAPP(c_COMBC(_u13000, tc_fun(_u13002, tc_fun(_u13001, tc_HOL_Obool)), tc_fun(_u13002, tc_fun(_u13001, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13001, tc_HOL_Obool), tc_fun(_u13001, tc_HOL_Obool)), tc_fun(tc_fun(_u13002, tc_fun(_u13001, tc_HOL_Obool)), tc_fun(_u13002, tc_fun(_u13001, tc_HOL_Obool))), _u13000), c_COMBB(tc_fun(_u13001, tc_HOL_Obool), tc_fun(_u13001, tc_HOL_Obool), _u13002)), hAPP(hAPP(c_COMBB(tc_fun(_u13001, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u13001, tc_HOL_Obool), tc_fun(_u13001, tc_HOL_Obool)), _u13000), c_COMBS(_u13001, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13001, tc_HOL_Obool), tc_fun(_u13001, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u13000), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13001), c_fconj)), hAPP(hAPP(c_COMBC(_u13000, tc_fun(tc_prod(_u13000, _u13001), tc_HOL_Obool), tc_fun(_u13001, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13001, tc_fun(tc_fun(tc_prod(_u13000, _u13001), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13000, _u13001), tc_HOL_Obool), tc_fun(_u13001, tc_HOL_Obool)), _u13000), c_COMBC(_u13001, tc_fun(tc_prod(_u13000, _u13001), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13001, tc_prod(_u13000, _u13001)), tc_fun(_u13001, tc_fun(tc_fun(tc_prod(_u13000, _u13001), tc_HOL_Obool), tc_HOL_Obool)), _u13000), hAPP(c_COMBB(tc_prod(_u13000, _u13001), tc_fun(tc_fun(tc_prod(_u13000, _u13001), tc_HOL_Obool), tc_HOL_Obool), _u13001), c_member(tc_prod(_u13000, _u13001)))), c_Product__Type_OPair(_u13000, _u13001)))), _u13003))))), hAPP(hAPP(c_COMBC(_u13002, tc_fun(tc_prod(_u13001, _u13002), tc_HOL_Obool), tc_fun(_u13001, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13001, tc_fun(tc_fun(tc_prod(_u13001, _u13002), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13001, _u13002), tc_HOL_Obool), tc_fun(_u13001, tc_HOL_Obool)), _u13002), c_COMBC(_u13001, tc_fun(tc_prod(_u13001, _u13002), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13001, tc_prod(_u13001, _u13002)), tc_fun(_u13001, tc_fun(tc_fun(tc_prod(_u13001, _u13002), tc_HOL_Obool), tc_HOL_Obool)), _u13002), hAPP(c_COMBB(tc_prod(_u13001, _u13002), tc_fun(tc_fun(tc_prod(_u13001, _u13002), tc_HOL_Obool), tc_HOL_Obool), _u13001), c_member(tc_prod(_u13001, _u13002)))), hAPP(c_COMBC(_u13001, _u13002, tc_prod(_u13001, _u13002)), c_Product__Type_OPair(_u13001, _u13002))))), _u13004)))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Range__Collect__split ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Range__Collect__split-1, axiom, ( ( hAPP(c_Relation_ORange(_u13005, _u13006), hAPP(c_Set_OCollect(tc_prod(_u13005, _u13006)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13005, _u13006, tc_HOL_Obool), _u13007))) = hAPP(c_Set_OCollect(_u13006), hAPP(hAPP(c_COMBB(tc_fun(_u13005, tc_HOL_Obool), tc_HOL_Obool, _u13006), c_HOL_OEx(_u13005)), hAPP(c_COMBC(_u13005, _u13006, tc_HOL_Obool), _u13007)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_rel__compI ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_rel__compI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13008, _u13009)), hAPP(hAPP(c_Product__Type_OPair(_u13008, _u13009), _u13010), _u13011)), _u13012)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13009, _u13013)), hAPP(hAPP(c_Product__Type_OPair(_u13009, _u13013), _u13011), _u13014)), _u13015)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13008, _u13013)), hAPP(hAPP(c_Product__Type_OPair(_u13008, _u13013), _u13010), _u13014)), hAPP(hAPP(c_Relation_Orel__comp(_u13008, _u13009, _u13013), _u13012), _u13015))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_RangeI ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_RangeI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13016, _u13017)), hAPP(hAPP(c_Product__Type_OPair(_u13016, _u13017), _u13018), _u13019)), _u13020)) | hBOOL(hAPP(hAPP(c_member(_u13017), _u13019), hAPP(c_Relation_ORange(_u13016, _u13017), _u13020))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_rel__comp__UNION__distrib ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_rel__comp__UNION__distrib-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13021, _u13022, _u13023), _u13024), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13025, tc_fun(tc_prod(_u13022, _u13023), tc_HOL_Obool)), _u13026), _u13027)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13025, tc_fun(tc_prod(_u13021, _u13023), tc_HOL_Obool)), _u13026), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u13022, _u13023), tc_HOL_Obool), tc_fun(tc_prod(_u13021, _u13023), tc_HOL_Obool), _u13025), hAPP(c_Relation_Orel__comp(_u13021, _u13022, _u13023), _u13024)), _u13027))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_rel__comp__UNION__distrib2 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_rel__comp__UNION__distrib2-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13028, _u13029, _u13030), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13031, tc_fun(tc_prod(_u13028, _u13029), tc_HOL_Obool)), _u13032), _u13033)), _u13034) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13031, tc_fun(tc_prod(_u13028, _u13030), tc_HOL_Obool)), _u13032), hAPP(hAPP(c_COMBC(_u13031, tc_fun(tc_prod(_u13029, _u13030), tc_HOL_Obool), tc_fun(tc_prod(_u13028, _u13030), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u13028, _u13029), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u13029, _u13030), tc_HOL_Obool), tc_fun(tc_prod(_u13028, _u13030), tc_HOL_Obool)), _u13031), c_Relation_Orel__comp(_u13028, _u13029, _u13030)), _u13033)), _u13034))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_rel__comp__distrib ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_rel__comp__distrib-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13035, _u13036, _u13037), _u13038), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13036, _u13037), tc_HOL_Obool)), _u13039), _u13040)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13035, _u13037), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13035, _u13036, _u13037), _u13038), _u13039)), hAPP(hAPP(c_Relation_Orel__comp(_u13035, _u13036, _u13037), _u13038), _u13040))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_rel__comp__distrib2 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_rel__comp__distrib2-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13041, _u13042, _u13043), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13041, _u13042), tc_HOL_Obool)), _u13044), _u13045)), _u13046) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13041, _u13043), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13041, _u13042, _u13043), _u13044), _u13046)), hAPP(hAPP(c_Relation_Orel__comp(_u13041, _u13042, _u13043), _u13045), _u13046))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_O__assoc ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_O__assoc-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13047, _u13048, _u13049), hAPP(hAPP(c_Relation_Orel__comp(_u13047, _u13050, _u13048), _u13051), _u13052)), _u13053) = hAPP(hAPP(c_Relation_Orel__comp(_u13047, _u13050, _u13049), _u13051), hAPP(hAPP(c_Relation_Orel__comp(_u13050, _u13048, _u13049), _u13052), _u13053))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_rel__comp__empty2 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_rel__comp__empty2-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13054, _u13055, _u13056), _u13057), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13055, _u13056), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13054, _u13056), tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_rel__comp__empty1 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_rel__comp__empty1-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13058, _u13059, _u13060), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13058, _u13059), tc_HOL_Obool))), _u13061) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13058, _u13060), tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Range__Id__on ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Range__Id__on-1, axiom, ( ( hAPP(c_Relation_ORange(_u13062, _u13062), c_Relation_OId__on(_u13062, _u13063)) = _u13063) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_rel__comp__mono ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_rel__comp__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13064, _u13065), tc_HOL_Obool)), _u13066), _u13067)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13065, _u13068), tc_HOL_Obool)), _u13069), _u13070)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13064, _u13068), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13064, _u13065, _u13068), _u13066), _u13069)), hAPP(hAPP(c_Relation_Orel__comp(_u13064, _u13065, _u13068), _u13067), _u13070))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_union__comp__emptyR ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_union__comp__emptyR-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13071, _u13071, _u13071), _u13072), _u13073) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13071, _u13071), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u13071, _u13071, _u13071), _u13072), _u13074) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13071, _u13071), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u13071, _u13071, _u13071), _u13072), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13071, _u13071), tc_HOL_Obool)), _u13073), _u13074)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13071, _u13071), tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_union__comp__emptyL ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_union__comp__emptyL-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13075, _u13075, _u13075), _u13076), _u13077) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13075, _u13075), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u13075, _u13075, _u13075), _u13078), _u13077) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13075, _u13075), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u13075, _u13075, _u13075), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13075, _u13075), tc_HOL_Obool)), _u13076), _u13078)), _u13077) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13075, _u13075), tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Range__Union ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Range__Union-1, axiom, ( ( hAPP(c_Relation_ORange(_u13079, _u13080), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u13079, _u13080), tc_HOL_Obool), _u13081)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u13079, _u13080), tc_HOL_Obool), tc_fun(_u13080, tc_HOL_Obool)), _u13081), c_Relation_ORange(_u13079, _u13080))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Range__empty__iff ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Range__empty__iff-1, axiom, ( ( hAPP(c_Relation_ORange(_u13085, _u13087), _u13089) != c_Orderings_Obot__class_Obot(tc_fun(_u13087, tc_HOL_Obool))) | ( _u13089 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13085, _u13087), tc_HOL_Obool))) )).
% 20.36/20.56 cnf(fact_Range__empty__iff-2, axiom, ( ( _u13090 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13086, _u13088), tc_HOL_Obool))) | ( hAPP(c_Relation_ORange(_u13086, _u13088), _u13090) = c_Orderings_Obot__class_Obot(tc_fun(_u13088, tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Range__empty ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Range__empty-1, axiom, ( ( hAPP(c_Relation_ORange(_u13091, _u13092), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13091, _u13092), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u13092, tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_rel__comp__subset__Sigma ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_rel__comp__subset__Sigma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13093, _u13094), tc_HOL_Obool)), _u13095), hAPP(hAPP(c_Product__Type_OSigma(_u13093, _u13094), _u13096), hAPP(c_COMBK(tc_fun(_u13094, tc_HOL_Obool), _u13093), _u13097)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13094, _u13098), tc_HOL_Obool)), _u13099), hAPP(hAPP(c_Product__Type_OSigma(_u13094, _u13098), _u13097), hAPP(c_COMBK(tc_fun(_u13098, tc_HOL_Obool), _u13094), _u13100)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13093, _u13098), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13093, _u13094, _u13098), _u13095), _u13099)), hAPP(hAPP(c_Product__Type_OSigma(_u13093, _u13098), _u13096), hAPP(c_COMBK(tc_fun(_u13098, tc_HOL_Obool), _u13093), _u13100)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Range__Un__eq ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Range__Un__eq-1, axiom, ( ( hAPP(c_Relation_ORange(_u13101, _u13102), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13101, _u13102), tc_HOL_Obool)), _u13103), _u13104)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13102, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u13101, _u13102), _u13103)), hAPP(c_Relation_ORange(_u13101, _u13102), _u13104))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_finite__Range ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_finite__Range-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13105, _u13106)), _u13107)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13106), hAPP(c_Relation_ORange(_u13105, _u13106), _u13107))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_snd__eq__Range ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_snd__eq__Range-1, axiom, ( ( hAPP(c_Set_Oimage(tc_prod(_u13108, _u13109), _u13109, c_Product__Type_Osnd(_u13108, _u13109)), _u13110) = hAPP(c_Relation_ORange(_u13108, _u13109), _u13110)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Range__iff ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Range__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13117), _u13119), hAPP(c_Relation_ORange(_u13121, _u13117), _u13123))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13121, _u13117)), hAPP(hAPP(c_Product__Type_OPair(_u13121, _u13117), skolem319(_u13123, _u13121, _u13119, _u13117)), _u13119)), _u13123)) )).
% 20.36/20.56 cnf(fact_Range__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13122, _u13118)), hAPP(hAPP(c_Product__Type_OPair(_u13122, _u13118), _u13112), _u13120)), _u13124)) | hBOOL(hAPP(hAPP(c_member(_u13118), _u13120), hAPP(c_Relation_ORange(_u13122, _u13118), _u13124))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Range__insert ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Range__insert-1, axiom, ( ( hAPP(c_Relation_ORange(_u13125, _u13126), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13125, _u13126)), hAPP(hAPP(c_Product__Type_OPair(_u13125, _u13126), _u13127), _u13128)), _u13129)) = hAPP(hAPP(c_Set_Oinsert(_u13126), _u13128), hAPP(c_Relation_ORange(_u13125, _u13126), _u13129))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Range__Int__subset ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Range__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13130, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u13131, _u13130), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13131, _u13130), tc_HOL_Obool)), _u13132), _u13133))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13130, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u13131, _u13130), _u13132)), hAPP(c_Relation_ORange(_u13131, _u13130), _u13133)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Range__Diff__subset ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Range__Diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13134, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13134, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u13135, _u13134), _u13136)), hAPP(c_Relation_ORange(_u13135, _u13134), _u13137))), hAPP(c_Relation_ORange(_u13135, _u13134), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13135, _u13134), tc_HOL_Obool)), _u13136), _u13137)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_max__ext__compat ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_max__ext__compat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13138, _u13138), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13138, _u13138, _u13138), _u13139), _u13140)), _u13139)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u13138, tc_HOL_Obool), tc_fun(_u13138, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u13138, tc_HOL_Obool), tc_fun(_u13138, tc_HOL_Obool), tc_fun(_u13138, tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u13138, _u13139)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u13138, tc_HOL_Obool), tc_fun(_u13138, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u13138, _u13140)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u13138, tc_HOL_Obool), tc_fun(_u13138, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13138, tc_HOL_Obool), tc_fun(_u13138, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u13138, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u13138, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u13138, tc_HOL_Obool), tc_fun(_u13138, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omax__ext(_u13138, _u13139))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_min__ext__compat ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_min__ext__compat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13141, _u13141), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13141, _u13141, _u13141), _u13142), _u13143)), _u13142)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u13141, tc_HOL_Obool), tc_fun(_u13141, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u13141, tc_HOL_Obool), tc_fun(_u13141, tc_HOL_Obool), tc_fun(_u13141, tc_HOL_Obool)), c_Wellfounded_Omin__ext(_u13141, _u13142)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u13141, tc_HOL_Obool), tc_fun(_u13141, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omin__ext(_u13141, _u13143)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u13141, tc_HOL_Obool), tc_fun(_u13141, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13141, tc_HOL_Obool), tc_fun(_u13141, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u13141, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u13141, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u13141, tc_HOL_Obool), tc_fun(_u13141, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omin__ext(_u13141, _u13142))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_RangeP__Range__eq ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_RangeP__Range__eq-1, axiom, ( ~hBOOL(hAPP(c_Predicate_ORangeP(_u13148, _u13150, hAPP(hAPP(c_COMBC(_u13148, tc_fun(tc_prod(_u13148, _u13150), tc_HOL_Obool), tc_fun(_u13150, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13150, tc_fun(tc_fun(tc_prod(_u13148, _u13150), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13148, _u13150), tc_HOL_Obool), tc_fun(_u13150, tc_HOL_Obool)), _u13148), c_COMBC(_u13150, tc_fun(tc_prod(_u13148, _u13150), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13150, tc_prod(_u13148, _u13150)), tc_fun(_u13150, tc_fun(tc_fun(tc_prod(_u13148, _u13150), tc_HOL_Obool), tc_HOL_Obool)), _u13148), hAPP(c_COMBB(tc_prod(_u13148, _u13150), tc_fun(tc_fun(tc_prod(_u13148, _u13150), tc_HOL_Obool), tc_HOL_Obool), _u13150), c_member(tc_prod(_u13148, _u13150)))), c_Product__Type_OPair(_u13148, _u13150)))), _u13152)), _u13154)) | hBOOL(hAPP(hAPP(c_member(_u13150), _u13154), hAPP(c_Relation_ORange(_u13148, _u13150), _u13152))) )).
% 20.36/20.56 cnf(fact_RangeP__Range__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13151), _u13155), hAPP(c_Relation_ORange(_u13149, _u13151), _u13153))) | hBOOL(hAPP(c_Predicate_ORangeP(_u13149, _u13151, hAPP(hAPP(c_COMBC(_u13149, tc_fun(tc_prod(_u13149, _u13151), tc_HOL_Obool), tc_fun(_u13151, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13151, tc_fun(tc_fun(tc_prod(_u13149, _u13151), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13149, _u13151), tc_HOL_Obool), tc_fun(_u13151, tc_HOL_Obool)), _u13149), c_COMBC(_u13151, tc_fun(tc_prod(_u13149, _u13151), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13151, tc_prod(_u13149, _u13151)), tc_fun(_u13151, tc_fun(tc_fun(tc_prod(_u13149, _u13151), tc_HOL_Obool), tc_HOL_Obool)), _u13149), hAPP(c_COMBB(tc_prod(_u13149, _u13151), tc_fun(tc_fun(tc_prod(_u13149, _u13151), tc_HOL_Obool), tc_HOL_Obool), _u13151), c_member(tc_prod(_u13149, _u13151)))), c_Product__Type_OPair(_u13149, _u13151)))), _u13153)), _u13155)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_RangeE ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_RangeE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13157), _u13158), hAPP(c_Relation_ORange(_u13159, _u13157), _u13160))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13159, _u13157)), hAPP(hAPP(c_Product__Type_OPair(_u13159, _u13157), skolem320(_u13160, _u13159, _u13158, _u13157)), _u13158)), _u13160)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_pred__comp__rel__comp__eq ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_pred__comp__rel__comp__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u13168, _u13170, _u13172, hAPP(hAPP(c_COMBC(_u13168, tc_fun(tc_prod(_u13168, _u13170), tc_HOL_Obool), tc_fun(_u13170, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13170, tc_fun(tc_fun(tc_prod(_u13168, _u13170), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13168, _u13170), tc_HOL_Obool), tc_fun(_u13170, tc_HOL_Obool)), _u13168), c_COMBC(_u13170, tc_fun(tc_prod(_u13168, _u13170), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13170, tc_prod(_u13168, _u13170)), tc_fun(_u13170, tc_fun(tc_fun(tc_prod(_u13168, _u13170), tc_HOL_Obool), tc_HOL_Obool)), _u13168), hAPP(c_COMBB(tc_prod(_u13168, _u13170), tc_fun(tc_fun(tc_prod(_u13168, _u13170), tc_HOL_Obool), tc_HOL_Obool), _u13170), c_member(tc_prod(_u13168, _u13170)))), c_Product__Type_OPair(_u13168, _u13170)))), _u13174), hAPP(hAPP(c_COMBC(_u13170, tc_fun(tc_prod(_u13170, _u13172), tc_HOL_Obool), tc_fun(_u13172, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13172, tc_fun(tc_fun(tc_prod(_u13170, _u13172), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13170, _u13172), tc_HOL_Obool), tc_fun(_u13172, tc_HOL_Obool)), _u13170), c_COMBC(_u13172, tc_fun(tc_prod(_u13170, _u13172), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13172, tc_prod(_u13170, _u13172)), tc_fun(_u13172, tc_fun(tc_fun(tc_prod(_u13170, _u13172), tc_HOL_Obool), tc_HOL_Obool)), _u13170), hAPP(c_COMBB(tc_prod(_u13170, _u13172), tc_fun(tc_fun(tc_prod(_u13170, _u13172), tc_HOL_Obool), tc_HOL_Obool), _u13172), c_member(tc_prod(_u13170, _u13172)))), c_Product__Type_OPair(_u13170, _u13172)))), _u13176)), _u13178), _u13180)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13168, _u13172)), hAPP(hAPP(c_Product__Type_OPair(_u13168, _u13172), _u13178), _u13180)), hAPP(hAPP(c_Relation_Orel__comp(_u13168, _u13170, _u13172), _u13174), _u13176))) )).
% 20.36/20.56 cnf(fact_pred__comp__rel__comp__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13169, _u13173)), hAPP(hAPP(c_Product__Type_OPair(_u13169, _u13173), _u13179), _u13181)), hAPP(hAPP(c_Relation_Orel__comp(_u13169, _u13171, _u13173), _u13175), _u13177))) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u13169, _u13171, _u13173, hAPP(hAPP(c_COMBC(_u13169, tc_fun(tc_prod(_u13169, _u13171), tc_HOL_Obool), tc_fun(_u13171, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13171, tc_fun(tc_fun(tc_prod(_u13169, _u13171), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13169, _u13171), tc_HOL_Obool), tc_fun(_u13171, tc_HOL_Obool)), _u13169), c_COMBC(_u13171, tc_fun(tc_prod(_u13169, _u13171), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13171, tc_prod(_u13169, _u13171)), tc_fun(_u13171, tc_fun(tc_fun(tc_prod(_u13169, _u13171), tc_HOL_Obool), tc_HOL_Obool)), _u13169), hAPP(c_COMBB(tc_prod(_u13169, _u13171), tc_fun(tc_fun(tc_prod(_u13169, _u13171), tc_HOL_Obool), tc_HOL_Obool), _u13171), c_member(tc_prod(_u13169, _u13171)))), c_Product__Type_OPair(_u13169, _u13171)))), _u13175), hAPP(hAPP(c_COMBC(_u13171, tc_fun(tc_prod(_u13171, _u13173), tc_HOL_Obool), tc_fun(_u13173, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13173, tc_fun(tc_fun(tc_prod(_u13171, _u13173), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13171, _u13173), tc_HOL_Obool), tc_fun(_u13173, tc_HOL_Obool)), _u13171), c_COMBC(_u13173, tc_fun(tc_prod(_u13171, _u13173), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13173, tc_prod(_u13171, _u13173)), tc_fun(_u13173, tc_fun(tc_fun(tc_prod(_u13171, _u13173), tc_HOL_Obool), tc_HOL_Obool)), _u13171), hAPP(c_COMBB(tc_prod(_u13171, _u13173), tc_fun(tc_fun(tc_prod(_u13171, _u13173), tc_HOL_Obool), tc_HOL_Obool), _u13173), c_member(tc_prod(_u13171, _u13173)))), c_Product__Type_OPair(_u13171, _u13173)))), _u13177)), _u13179), _u13181)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_pred__comp_Ointros ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_pred__comp_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u13182, _u13183), _u13184)) | ~hBOOL(hAPP(hAPP(_u13185, _u13184), _u13186)) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u13187, _u13188, _u13189, _u13182, _u13185), _u13183), _u13186)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_RangeP_Ointros ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_RangeP_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u13190, _u13191), _u13192)) | hBOOL(hAPP(c_Predicate_ORangeP(_u13193, _u13194, _u13190), _u13192)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_RangeP_Oequations ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_RangeP_Oequations-1, axiom, ( hBOOL(hAPP(hAPP(_u13205, skolem321(_u13207, _u13205)), _u13207)) | ~hBOOL(hAPP(c_Predicate_ORangeP(_u13201, _u13203, _u13205), _u13207)) )).
% 20.36/20.56 cnf(fact_RangeP_Oequations-2, axiom, ( ~hBOOL(hAPP(hAPP(_u13206, _u13196), _u13208)) | hBOOL(hAPP(c_Predicate_ORangeP(_u13202, _u13204, _u13206), _u13208)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_pred__comp_Oequations ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_pred__comp_Oequations-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u13218, _u13220, _u13222, _u13224, _u13226), _u13228), _u13230)) | hBOOL(hAPP(hAPP(_u13224, _u13228), skolem322(_u13230, _u13228, _u13226, _u13224))) )).
% 20.36/20.56 cnf(fact_pred__comp_Oequations-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u13218, _u13220, _u13222, _u13224, _u13226), _u13228), _u13230)) | hBOOL(hAPP(hAPP(_u13226, skolem322(_u13230, _u13228, _u13226, _u13224)), _u13230)) )).
% 20.36/20.56 cnf(fact_pred__comp_Oequations-3, axiom, ( ~hBOOL(hAPP(hAPP(_u13225, _u13229), _u13210)) | ~hBOOL(hAPP(hAPP(_u13227, _u13210), _u13231)) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u13219, _u13221, _u13223, _u13225, _u13227), _u13229), _u13231)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_reduction__pairI ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_reduction__pairI-1, axiom, ( ~c_Wellfounded_Owf(_u13232, _u13233) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13232, _u13232), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13232, _u13232, _u13232), _u13233), _u13234)), _u13233)) | c_FunDef_Oreduction__pair(_u13232, hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(_u13232, _u13232), tc_HOL_Obool), tc_fun(tc_prod(_u13232, _u13232), tc_HOL_Obool)), _u13233), _u13234)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Domain__Collect__split ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Domain__Collect__split-1, axiom, ( ( hAPP(c_Relation_ODomain(_u13235, _u13236), hAPP(c_Set_OCollect(tc_prod(_u13235, _u13236)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13235, _u13236, tc_HOL_Obool), _u13237))) = hAPP(c_Set_OCollect(_u13235), hAPP(hAPP(c_COMBB(tc_fun(_u13236, tc_HOL_Obool), tc_HOL_Obool, _u13235), c_HOL_OEx(_u13236)), _u13237))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_the__eq__trivial ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_the__eq__trivial-1, axiom, ( ( c_HOL_OThe(_u13238, hAPP(hAPP(c_COMBC(_u13238, _u13238, tc_HOL_Obool), c_fequal), _u13239)) = _u13239) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_wf__less__than ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_wf__less__than-1, axiom, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Oless__than) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_wf__empty ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_wf__empty-1, axiom, ( c_Wellfounded_Owf(_u13240, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13240, _u13240), tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_wf__inv__image ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_wf__inv__image-1, axiom, ( ~c_Wellfounded_Owf(_u13241, _u13242) | c_Wellfounded_Owf(_u13243, hAPP(hAPP(c_Relation_Oinv__image(_u13241, _u13243), _u13242), _u13244)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_wf__lex__prod ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_wf__lex__prod-1, axiom, ( ~c_Wellfounded_Owf(_u13245, _u13246) | ~c_Wellfounded_Owf(_u13247, _u13248) | c_Wellfounded_Owf(tc_prod(_u13245, _u13247), c_Wellfounded_Olex__prod(_u13245, _u13247, _u13246, _u13248)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_wf__measure ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_wf__measure-1, axiom, ( c_Wellfounded_Owf(_u13249, hAPP(c_Wellfounded_Omeasure(_u13249), _u13250)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_DomainI ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_DomainI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13251, _u13252)), hAPP(hAPP(c_Product__Type_OPair(_u13251, _u13252), _u13253), _u13254)), _u13255)) | hBOOL(hAPP(hAPP(c_member(_u13251), _u13253), hAPP(c_Relation_ODomain(_u13251, _u13252), _u13255))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_wf__comp__self ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_wf__comp__self-1, axiom, ( ~c_Wellfounded_Owf(_u13258, _u13260) | c_Wellfounded_Owf(_u13258, hAPP(hAPP(c_Relation_Orel__comp(_u13258, _u13258, _u13258), _u13260), _u13260)) )).
% 20.36/20.56 cnf(fact_wf__comp__self-2, axiom, ( ~c_Wellfounded_Owf(_u13259, hAPP(hAPP(c_Relation_Orel__comp(_u13259, _u13259, _u13259), _u13261), _u13261)) | c_Wellfounded_Owf(_u13259, _u13261) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_wf__subset ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_wf__subset-1, axiom, ( ~c_Wellfounded_Owf(_u13262, _u13263) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13262, _u13262), tc_HOL_Obool)), _u13264), _u13263)) | c_Wellfounded_Owf(_u13262, _u13264) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_min__ext__wf ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_min__ext__wf-1, axiom, ( ~c_Wellfounded_Owf(_u13265, _u13266) | c_Wellfounded_Owf(tc_fun(_u13265, tc_HOL_Obool), c_Wellfounded_Omin__ext(_u13265, _u13266)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_wf__Int2 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_wf__Int2-1, axiom, ( ~c_Wellfounded_Owf(_u13267, _u13268) | c_Wellfounded_Owf(_u13267, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13267, _u13267), tc_HOL_Obool)), _u13269), _u13268)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_wf__Int1 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_wf__Int1-1, axiom, ( ~c_Wellfounded_Owf(_u13270, _u13271) | c_Wellfounded_Owf(_u13270, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13270, _u13270), tc_HOL_Obool)), _u13271), _u13272)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_max__ext__wf ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_max__ext__wf-1, axiom, ( ~c_Wellfounded_Owf(_u13273, _u13274) | c_Wellfounded_Owf(tc_fun(_u13273, tc_HOL_Obool), c_Wellfounded_Omax__ext(_u13273, _u13274)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_wf__pair__less ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_wf__pair__less-1, axiom, ( c_Wellfounded_Owf(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Domain__Id__on ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Domain__Id__on-1, axiom, ( ( hAPP(c_Relation_ODomain(_u13275, _u13275), c_Relation_OId__on(_u13275, _u13276)) = _u13276) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_wf__finite__psubset ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_wf__finite__psubset-1, axiom, ( c_Wellfounded_Owf(tc_fun(_u13277, tc_HOL_Obool), c_Wellfounded_Ofinite__psubset(_u13277)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_wf__mlex ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_wf__mlex-1, axiom, ( ~c_Wellfounded_Owf(_u13278, _u13279) | c_Wellfounded_Owf(_u13278, c_Wellfounded_Omlex__prod(_u13278, _u13280, _u13279)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_wf__less ( axiom ) converted to clauses:
% 20.36/20.56 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)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_wf__not__refl ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_wf__not__refl-1, axiom, ( ~c_Wellfounded_Owf(_u13281, _u13282) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13281, _u13281)), hAPP(hAPP(c_Product__Type_OPair(_u13281, _u13281), _u13283), _u13283)), _u13282)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_wf__not__sym ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_wf__not__sym-1, axiom, ( ~c_Wellfounded_Owf(_u13284, _u13285) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13284, _u13284)), hAPP(hAPP(c_Product__Type_OPair(_u13284, _u13284), _u13286), _u13287)), _u13285)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13284, _u13284)), hAPP(hAPP(c_Product__Type_OPair(_u13284, _u13284), _u13287), _u13286)), _u13285)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_wf__asym ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_wf__asym-1, axiom, ( ~c_Wellfounded_Owf(_u13288, _u13289) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13288, _u13288)), hAPP(hAPP(c_Product__Type_OPair(_u13288, _u13288), _u13290), _u13291)), _u13289)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13288, _u13288)), hAPP(hAPP(c_Product__Type_OPair(_u13288, _u13288), _u13291), _u13290)), _u13289)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_wf__irrefl ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_wf__irrefl-1, axiom, ( ~c_Wellfounded_Owf(_u13292, _u13293) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13292, _u13292)), hAPP(hAPP(c_Product__Type_OPair(_u13292, _u13292), _u13294), _u13294)), _u13293)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_wf__int__ge__less__than2 ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_wf__int__ge__less__than2-1, axiom, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than2(_u13295)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_wf__int__ge__less__than ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_wf__int__ge__less__than-1, axiom, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than(_u13296)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_wf__Un ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_wf__Un-1, axiom, ( ~c_Wellfounded_Owf(_u13297, _u13298) | ~c_Wellfounded_Owf(_u13297, _u13299) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13297, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13297, _u13297), _u13298)), hAPP(c_Relation_ORange(_u13297, _u13297), _u13299)) != c_Orderings_Obot__class_Obot(tc_fun(_u13297, tc_HOL_Obool))) | c_Wellfounded_Owf(_u13297, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13297, _u13297), tc_HOL_Obool)), _u13298), _u13299)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_acc__wfD ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_acc__wfD-1, axiom, ( ~c_Wellfounded_Owf(_u13300, _u13301) | hBOOL(hAPP(hAPP(c_member(_u13300), _u13302), c_Wellfounded_Oacc(_u13300, _u13301))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_wf__acc__iff ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_wf__acc__iff-1, axiom, ( ~c_Wellfounded_Owf(_u13307, _u13309) | hBOOL(hAPP(hAPP(c_member(_u13307), _u13303), c_Wellfounded_Oacc(_u13307, _u13309))) )).
% 20.36/20.56 cnf(fact_wf__acc__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13308), skolem323(_u13310, _u13308)), c_Wellfounded_Oacc(_u13308, _u13310))) | c_Wellfounded_Owf(_u13308, _u13310) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_wf__no__loop ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_wf__no__loop-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13311, _u13311, _u13311), _u13312), _u13312) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13311, _u13311), tc_HOL_Obool))) | c_Wellfounded_Owf(_u13311, _u13312) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_wf__union__merge ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_wf__union__merge-1, axiom, ( ~c_Wellfounded_Owf(_u13316, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13316, _u13316), tc_HOL_Obool)), _u13318), _u13320)) | c_Wellfounded_Owf(_u13316, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13316, _u13316), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13316, _u13316), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13316, _u13316, _u13316), _u13318), _u13318)), hAPP(hAPP(c_Relation_Orel__comp(_u13316, _u13316, _u13316), _u13320), _u13318))), _u13320)) )).
% 20.36/20.56 cnf(fact_wf__union__merge-2, axiom, ( ~c_Wellfounded_Owf(_u13317, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13317, _u13317), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13317, _u13317), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13317, _u13317, _u13317), _u13319), _u13319)), hAPP(hAPP(c_Relation_Orel__comp(_u13317, _u13317, _u13317), _u13321), _u13319))), _u13321)) | c_Wellfounded_Owf(_u13317, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13317, _u13317), tc_HOL_Obool)), _u13319), _u13321)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Domain__empty__iff ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Domain__empty__iff-1, axiom, ( ( hAPP(c_Relation_ODomain(_u13325, _u13327), _u13329) != c_Orderings_Obot__class_Obot(tc_fun(_u13325, tc_HOL_Obool))) | ( _u13329 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13325, _u13327), tc_HOL_Obool))) )).
% 20.36/20.56 cnf(fact_Domain__empty__iff-2, axiom, ( ( _u13330 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13326, _u13328), tc_HOL_Obool))) | ( hAPP(c_Relation_ODomain(_u13326, _u13328), _u13330) = c_Orderings_Obot__class_Obot(tc_fun(_u13326, tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Domain__empty ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Domain__empty-1, axiom, ( ( hAPP(c_Relation_ODomain(_u13331, _u13332), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13331, _u13332), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u13331, tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Domain__mono ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Domain__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13333, _u13334), tc_HOL_Obool)), _u13335), _u13336)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13333, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13333, _u13334), _u13335)), hAPP(c_Relation_ODomain(_u13333, _u13334), _u13336))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Domain__Un__eq ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Domain__Un__eq-1, axiom, ( ( hAPP(c_Relation_ODomain(_u13337, _u13338), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13337, _u13338), tc_HOL_Obool)), _u13339), _u13340)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13337, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13337, _u13338), _u13339)), hAPP(c_Relation_ODomain(_u13337, _u13338), _u13340))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_finite__Domain ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_finite__Domain-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13341, _u13342)), _u13343)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13341), hAPP(c_Relation_ODomain(_u13341, _u13342), _u13343))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_fst__eq__Domain ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_fst__eq__Domain-1, axiom, ( ( hAPP(c_Set_Oimage(tc_prod(_u13344, _u13345), _u13344, c_Product__Type_Ofst(_u13344, _u13345)), _u13346) = hAPP(c_Relation_ODomain(_u13344, _u13345), _u13346)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_wf__iff__no__infinite__down__chain ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_wf__iff__no__infinite__down__chain-1, axiom, ( ~c_Wellfounded_Owf(_u13353, _u13355) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13353, _u13353)), hAPP(hAPP(c_Product__Type_OPair(_u13353, _u13353), hAPP(_u13348, hAPP(c_Nat_OSuc, skolem324(_u13355, _u13353, _u13348)))), hAPP(_u13348, skolem324(_u13355, _u13353, _u13348)))), _u13355)) )).
% 20.36/20.56 cnf(fact_wf__iff__no__infinite__down__chain-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u13354, _u13354)), hAPP(hAPP(c_Product__Type_OPair(_u13354, _u13354), hAPP(skolem325(_u13356, _u13354), hAPP(c_Nat_OSuc, _u13349))), hAPP(skolem325(_u13356, _u13354), _u13349))), _u13356)) | c_Wellfounded_Owf(_u13354, _u13356) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_wfE__pf ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_wfE__pf-1, axiom, ( ~c_Wellfounded_Owf(_u13357, _u13358) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13357, tc_HOL_Obool)), _u13359), hAPP(c_Relation_OImage(_u13357, _u13357, _u13358), _u13359))) | ( _u13359 = c_Orderings_Obot__class_Obot(tc_fun(_u13357, tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_wf__union__compatible ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_wf__union__compatible-1, axiom, ( ~c_Wellfounded_Owf(_u13360, _u13361) | ~c_Wellfounded_Owf(_u13360, _u13362) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13360, _u13360), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13360, _u13360, _u13360), _u13361), _u13362)), _u13361)) | c_Wellfounded_Owf(_u13360, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13360, _u13360), tc_HOL_Obool)), _u13361), _u13362)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Domain__iff ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Domain__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13369), _u13371), hAPP(c_Relation_ODomain(_u13369, _u13373), _u13375))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13369, _u13373)), hAPP(hAPP(c_Product__Type_OPair(_u13369, _u13373), _u13371), skolem326(_u13375, _u13373, _u13371, _u13369))), _u13375)) )).
% 20.36/20.56 cnf(fact_Domain__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13370, _u13374)), hAPP(hAPP(c_Product__Type_OPair(_u13370, _u13374), _u13372), _u13364)), _u13376)) | hBOOL(hAPP(hAPP(c_member(_u13370), _u13372), hAPP(c_Relation_ODomain(_u13370, _u13374), _u13376))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_wf ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_wf-1, axiom, ( ~class_Orderings_Owellorder(_u13377) | c_Wellfounded_Owf(_u13377, hAPP(c_Set_OCollect(tc_prod(_u13377, _u13377)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13377, _u13377, tc_HOL_Obool), c_Orderings_Oord__class_Oless(_u13377)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Domain__insert ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Domain__insert-1, axiom, ( ( hAPP(c_Relation_ODomain(_u13378, _u13379), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13378, _u13379)), hAPP(hAPP(c_Product__Type_OPair(_u13378, _u13379), _u13380), _u13381)), _u13382)) = hAPP(hAPP(c_Set_Oinsert(_u13378), _u13380), hAPP(c_Relation_ODomain(_u13378, _u13379), _u13382))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_reduction__pair__def ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_reduction__pair__def-1, axiom, ( ~c_FunDef_Oreduction__pair(_u13385, _u13387) | c_Wellfounded_Owf(_u13385, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13385, _u13385), tc_HOL_Obool), tc_fun(tc_prod(_u13385, _u13385), tc_HOL_Obool)), _u13387)) )).
% 20.36/20.56 cnf(fact_reduction__pair__def-2, axiom, ( ~c_FunDef_Oreduction__pair(_u13385, _u13387) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13385, _u13385), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13385, _u13385, _u13385), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13385, _u13385), tc_HOL_Obool), tc_fun(tc_prod(_u13385, _u13385), tc_HOL_Obool)), _u13387)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u13385, _u13385), tc_HOL_Obool), tc_fun(tc_prod(_u13385, _u13385), tc_HOL_Obool)), _u13387))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13385, _u13385), tc_HOL_Obool), tc_fun(tc_prod(_u13385, _u13385), tc_HOL_Obool)), _u13387))) )).
% 20.36/20.56 cnf(fact_reduction__pair__def-3, axiom, ( ~c_Wellfounded_Owf(_u13386, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13386, _u13386), tc_HOL_Obool), tc_fun(tc_prod(_u13386, _u13386), tc_HOL_Obool)), _u13388)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13386, _u13386), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13386, _u13386, _u13386), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13386, _u13386), tc_HOL_Obool), tc_fun(tc_prod(_u13386, _u13386), tc_HOL_Obool)), _u13388)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u13386, _u13386), tc_HOL_Obool), tc_fun(tc_prod(_u13386, _u13386), tc_HOL_Obool)), _u13388))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13386, _u13386), tc_HOL_Obool), tc_fun(tc_prod(_u13386, _u13386), tc_HOL_Obool)), _u13388))) | c_FunDef_Oreduction__pair(_u13386, _u13388) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_reduction__pair__lemma ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_reduction__pair__lemma-1, axiom, ( ~c_FunDef_Oreduction__pair(_u13389, _u13390) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13389, _u13389), tc_HOL_Obool)), _u13391), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13389, _u13389), tc_HOL_Obool), tc_fun(tc_prod(_u13389, _u13389), tc_HOL_Obool)), _u13390))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13389, _u13389), tc_HOL_Obool)), _u13392), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u13389, _u13389), tc_HOL_Obool), tc_fun(tc_prod(_u13389, _u13389), tc_HOL_Obool)), _u13390))) | ~c_Wellfounded_Owf(_u13389, _u13392) | c_Wellfounded_Owf(_u13389, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13389, _u13389), tc_HOL_Obool)), _u13391), _u13392)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Domain__Int__subset ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Domain__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13393, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13393, _u13394), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13393, _u13394), tc_HOL_Obool)), _u13395), _u13396))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13393, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13393, _u13394), _u13395)), hAPP(c_Relation_ODomain(_u13393, _u13394), _u13396)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Domain__Diff__subset ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Domain__Diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13397, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13397, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13397, _u13398), _u13399)), hAPP(c_Relation_ODomain(_u13397, _u13398), _u13400))), hAPP(c_Relation_ODomain(_u13397, _u13398), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13397, _u13398), tc_HOL_Obool)), _u13399), _u13400)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Field__def ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Field__def-1, axiom, ( ( hAPP(c_Relation_OField(_u13401), _u13402) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13401, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13401, _u13401), _u13402)), hAPP(c_Relation_ORange(_u13401, _u13401), _u13402))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_wf__map__pair__image ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_wf__map__pair__image-1, axiom, ( ~c_Wellfounded_Owf(_u13403, _u13404) | ~c_Fun_Oinj__on(_u13403, _u13405, _u13406, c_Orderings_Otop__class_Otop(tc_fun(_u13403, tc_HOL_Obool))) | c_Wellfounded_Owf(_u13405, hAPP(c_Set_Oimage(tc_prod(_u13403, _u13403), tc_prod(_u13405, _u13405), c_Product__Type_Omap__pair(_u13403, _u13405, _u13403, _u13405, _u13406, _u13406)), _u13404)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Domain__Union ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Domain__Union-1, axiom, ( ( hAPP(c_Relation_ODomain(_u13407, _u13408), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u13407, _u13408), tc_HOL_Obool), _u13409)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u13407, _u13408), tc_HOL_Obool), tc_fun(_u13407, tc_HOL_Obool)), _u13409), c_Relation_ODomain(_u13407, _u13408))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_the__sym__eq__trivial ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_the__sym__eq__trivial-1, axiom, ( ( c_HOL_OThe(_u13410, hAPP(c_fequal, _u13411)) = _u13411) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_DomainP__Domain__eq ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_DomainP__Domain__eq-1, axiom, ( ~hBOOL(hAPP(c_Predicate_ODomainP(_u13416, _u13418, hAPP(hAPP(c_COMBC(_u13416, tc_fun(tc_prod(_u13416, _u13418), tc_HOL_Obool), tc_fun(_u13418, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13418, tc_fun(tc_fun(tc_prod(_u13416, _u13418), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13416, _u13418), tc_HOL_Obool), tc_fun(_u13418, tc_HOL_Obool)), _u13416), c_COMBC(_u13418, tc_fun(tc_prod(_u13416, _u13418), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13418, tc_prod(_u13416, _u13418)), tc_fun(_u13418, tc_fun(tc_fun(tc_prod(_u13416, _u13418), tc_HOL_Obool), tc_HOL_Obool)), _u13416), hAPP(c_COMBB(tc_prod(_u13416, _u13418), tc_fun(tc_fun(tc_prod(_u13416, _u13418), tc_HOL_Obool), tc_HOL_Obool), _u13418), c_member(tc_prod(_u13416, _u13418)))), c_Product__Type_OPair(_u13416, _u13418)))), _u13420)), _u13422)) | hBOOL(hAPP(hAPP(c_member(_u13416), _u13422), hAPP(c_Relation_ODomain(_u13416, _u13418), _u13420))) )).
% 20.36/20.56 cnf(fact_DomainP__Domain__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13417), _u13423), hAPP(c_Relation_ODomain(_u13417, _u13419), _u13421))) | hBOOL(hAPP(c_Predicate_ODomainP(_u13417, _u13419, hAPP(hAPP(c_COMBC(_u13417, tc_fun(tc_prod(_u13417, _u13419), tc_HOL_Obool), tc_fun(_u13419, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13419, tc_fun(tc_fun(tc_prod(_u13417, _u13419), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13417, _u13419), tc_HOL_Obool), tc_fun(_u13419, tc_HOL_Obool)), _u13417), c_COMBC(_u13419, tc_fun(tc_prod(_u13417, _u13419), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13419, tc_prod(_u13417, _u13419)), tc_fun(_u13419, tc_fun(tc_fun(tc_prod(_u13417, _u13419), tc_HOL_Obool), tc_HOL_Obool)), _u13417), hAPP(c_COMBB(tc_prod(_u13417, _u13419), tc_fun(tc_fun(tc_prod(_u13417, _u13419), tc_HOL_Obool), tc_HOL_Obool), _u13419), c_member(tc_prod(_u13417, _u13419)))), c_Product__Type_OPair(_u13417, _u13419)))), _u13421)), _u13423)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_wf__lenlex ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_wf__lenlex-1, axiom, ( ~c_Wellfounded_Owf(_u13424, _u13425) | c_Wellfounded_Owf(tc_List_Olist(_u13424), c_List_Olenlex(_u13424, _u13425)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_DomainE ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_DomainE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13427), _u13428), hAPP(c_Relation_ODomain(_u13427, _u13429), _u13430))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13427, _u13429)), hAPP(hAPP(c_Product__Type_OPair(_u13427, _u13429), _u13428), skolem327(_u13430, _u13429, _u13428, _u13427))), _u13430)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_DomainP_Ointros ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_DomainP_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u13431, _u13432), _u13433)) | hBOOL(hAPP(c_Predicate_ODomainP(_u13434, _u13435, _u13431), _u13432)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_DomainP_Oequations ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_DomainP_Oequations-1, axiom, ( hBOOL(hAPP(hAPP(_u13446, _u13448), skolem328(_u13448, _u13446))) | ~hBOOL(hAPP(c_Predicate_ODomainP(_u13442, _u13444, _u13446), _u13448)) )).
% 20.36/20.56 cnf(fact_DomainP_Oequations-2, axiom, ( ~hBOOL(hAPP(hAPP(_u13447, _u13449), _u13437)) | hBOOL(hAPP(c_Predicate_ODomainP(_u13443, _u13445, _u13447), _u13449)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_pred__nat__def ( axiom ) converted to clauses:
% 20.36/20.56 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)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_wf__lex ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_wf__lex-1, axiom, ( ~c_Wellfounded_Owf(_u13450, _u13451) | c_Wellfounded_Owf(tc_List_Olist(_u13450), c_List_Olex(_u13450, _u13451)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_wf__lexn ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_wf__lexn-1, axiom, ( ~c_Wellfounded_Owf(_u13452, _u13453) | c_Wellfounded_Owf(tc_List_Olist(_u13452), hAPP(c_List_Olexn(_u13452, _u13453), _u13454)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_lex__def ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_lex__def-1, axiom, ( ( c_List_Olex(_u13455, _u13456) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(tc_List_Olist(_u13455), tc_List_Olist(_u13455)), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_List_Olexn(_u13455, _u13456))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_lexn_Osimps_I1_J ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_lexn_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Olexn(_u13457, _u13458), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_List_Olist(_u13457), tc_List_Olist(_u13457)), tc_HOL_Obool))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_wf__pred__nat ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_wf__pred__nat-1, axiom, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Opred__nat) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_wf__same__fst ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_wf__same__fst-1, axiom, ( c_Wellfounded_Owf(tc_prod(_u13463, _u13461), c_Recdef_Osame__fst(_u13463, _u13461, _u13460, _u13462)) | hBOOL(hAPP(_u13460, skolem329(_u13463, _u13462, _u13461, _u13460))) )).
% 20.36/20.56 cnf(fact_wf__same__fst-2, axiom, ( c_Wellfounded_Owf(tc_prod(_u13463, _u13461), c_Recdef_Osame__fst(_u13463, _u13461, _u13460, _u13462)) | ~c_Wellfounded_Owf(_u13461, hAPP(_u13462, skolem329(_u13463, _u13462, _u13461, _u13460))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_wf__if__measure ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_wf__if__measure-1, axiom, ( c_Wellfounded_Owf(_u13468, hAPP(c_Set_OCollect(tc_prod(_u13468, _u13468)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13468, _u13468, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u13468, tc_HOL_Obool), tc_fun(_u13468, tc_HOL_Obool), _u13468), hAPP(c_COMBS(_u13468, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13468), c_fconj), _u13465))), hAPP(hAPP(c_COMBC(_u13468, tc_fun(_u13468, _u13468), tc_fun(_u13468, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13468, tc_HOL_Obool), tc_fun(tc_fun(_u13468, _u13468), tc_fun(_u13468, tc_HOL_Obool)), _u13468), c_COMBB(_u13468, tc_HOL_Obool, _u13468)), c_fequal)), _u13467))))) | hBOOL(hAPP(_u13465, skolem330(_u13468, _u13467, _u13466, _u13465))) )).
% 20.36/20.56 cnf(fact_wf__if__measure-2, axiom, ( c_Wellfounded_Owf(_u13468, hAPP(c_Set_OCollect(tc_prod(_u13468, _u13468)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13468, _u13468, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u13468, tc_HOL_Obool), tc_fun(_u13468, tc_HOL_Obool), _u13468), hAPP(c_COMBS(_u13468, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13468), c_fconj), _u13465))), hAPP(hAPP(c_COMBC(_u13468, tc_fun(_u13468, _u13468), tc_fun(_u13468, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13468, tc_HOL_Obool), tc_fun(tc_fun(_u13468, _u13468), tc_fun(_u13468, tc_HOL_Obool)), _u13468), c_COMBB(_u13468, tc_HOL_Obool, _u13468)), c_fequal)), _u13467))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u13466, hAPP(_u13467, skolem330(_u13468, _u13467, _u13466, _u13465)))), hAPP(_u13466, skolem330(_u13468, _u13467, _u13466, _u13465)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_wfP__def ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_wfP__def-1, axiom, ( ~c_Wellfounded_OwfP(_u13471, _u13473) | c_Wellfounded_Owf(_u13471, hAPP(c_Set_OCollect(tc_prod(_u13471, _u13471)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13471, _u13471, tc_HOL_Obool), _u13473))) )).
% 20.36/20.56 cnf(fact_wfP__def-2, axiom, ( ~c_Wellfounded_Owf(_u13472, hAPP(c_Set_OCollect(tc_prod(_u13472, _u13472)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13472, _u13472, tc_HOL_Obool), _u13474))) | c_Wellfounded_OwfP(_u13472, _u13474) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_wfP__empty ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_wfP__empty-1, axiom, ( c_Wellfounded_OwfP(_u13475, hAPP(c_COMBK(tc_fun(_u13475, tc_HOL_Obool), _u13475), hAPP(c_COMBK(tc_HOL_Obool, _u13475), c_fFalse))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_accp__wfPD ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_accp__wfPD-1, axiom, ( ~c_Wellfounded_OwfP(_u13476, _u13477) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u13476, _u13477), _u13478)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_wfP__accp__iff ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_wfP__accp__iff-1, axiom, ( ~c_Wellfounded_OwfP(_u13483, _u13485) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u13483, _u13485), _u13479)) )).
% 20.36/20.56 cnf(fact_wfP__accp__iff-2, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u13484, _u13486), skolem331(_u13486, _u13484))) | c_Wellfounded_OwfP(_u13484, _u13486) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_wfP__subset ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_wfP__subset-1, axiom, ( ~c_Wellfounded_OwfP(_u13487, _u13488) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13487, tc_fun(_u13487, tc_HOL_Obool))), _u13489), _u13488)) | c_Wellfounded_OwfP(_u13487, _u13489) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_wf__in__rel ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_wf__in__rel-1, axiom, ( ~c_Wellfounded_Owf(_u13490, _u13491) | c_Wellfounded_OwfP(_u13490, c_FunDef_Oin__rel(_u13490, _u13490, _u13491)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_wfP__wf__eq ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_wfP__wf__eq-1, axiom, ( ~c_Wellfounded_OwfP(_u13494, hAPP(hAPP(c_COMBC(_u13494, tc_fun(tc_prod(_u13494, _u13494), tc_HOL_Obool), tc_fun(_u13494, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13494, tc_fun(tc_fun(tc_prod(_u13494, _u13494), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13494, _u13494), tc_HOL_Obool), tc_fun(_u13494, tc_HOL_Obool)), _u13494), c_COMBC(_u13494, tc_fun(tc_prod(_u13494, _u13494), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13494, tc_prod(_u13494, _u13494)), tc_fun(_u13494, tc_fun(tc_fun(tc_prod(_u13494, _u13494), tc_HOL_Obool), tc_HOL_Obool)), _u13494), hAPP(c_COMBB(tc_prod(_u13494, _u13494), tc_fun(tc_fun(tc_prod(_u13494, _u13494), tc_HOL_Obool), tc_HOL_Obool), _u13494), c_member(tc_prod(_u13494, _u13494)))), c_Product__Type_OPair(_u13494, _u13494)))), _u13496)) | c_Wellfounded_Owf(_u13494, _u13496) )).
% 20.36/20.56 cnf(fact_wfP__wf__eq-2, axiom, ( ~c_Wellfounded_Owf(_u13495, _u13497) | c_Wellfounded_OwfP(_u13495, hAPP(hAPP(c_COMBC(_u13495, tc_fun(tc_prod(_u13495, _u13495), tc_HOL_Obool), tc_fun(_u13495, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13495, tc_fun(tc_fun(tc_prod(_u13495, _u13495), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13495, _u13495), tc_HOL_Obool), tc_fun(_u13495, tc_HOL_Obool)), _u13495), c_COMBC(_u13495, tc_fun(tc_prod(_u13495, _u13495), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13495, tc_prod(_u13495, _u13495)), tc_fun(_u13495, tc_fun(tc_fun(tc_prod(_u13495, _u13495), tc_HOL_Obool), tc_HOL_Obool)), _u13495), hAPP(c_COMBB(tc_prod(_u13495, _u13495), tc_fun(tc_fun(tc_prod(_u13495, _u13495), tc_HOL_Obool), tc_HOL_Obool), _u13495), c_member(tc_prod(_u13495, _u13495)))), c_Product__Type_OPair(_u13495, _u13495)))), _u13497)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_wfP__acyclicP ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_wfP__acyclicP-1, axiom, ( ~c_Wellfounded_OwfP(_u13498, _u13499) | c_Wellfounded_Oacyclic(_u13498, hAPP(c_Set_OCollect(tc_prod(_u13498, _u13498)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13498, _u13498, tc_HOL_Obool), _u13499))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_pigeonhole__infinite ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_pigeonhole__infinite-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u13501), _u13502)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13503), hAPP(c_Set_Oimage(_u13501, _u13503, _u13504), _u13502))) | hBOOL(hAPP(hAPP(c_member(_u13501), skolem332(_u13504, _u13503, _u13502, _u13501)), _u13502)) )).
% 20.36/20.56 cnf(fact_pigeonhole__infinite-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u13501), _u13502)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13503), hAPP(c_Set_Oimage(_u13501, _u13503, _u13504), _u13502))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13501), hAPP(c_Set_OCollect(_u13501), hAPP(hAPP(c_COMBS(_u13501, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13501), c_fconj), hAPP(hAPP(c_COMBC(_u13501, tc_fun(_u13501, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13501)), _u13502))), hAPP(hAPP(c_COMBC(_u13501, _u13503, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u13503, tc_fun(_u13503, tc_HOL_Obool), _u13501), c_fequal), _u13504)), hAPP(_u13504, skolem332(_u13504, _u13503, _u13502, _u13501))))))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_refl__on__def_H ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_refl__on__def_H-1, axiom, ( ~c_Relation_Orefl__on(_u13512, _u13514, _u13516) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13512, _u13512)), _u13505), _u13516)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13512, _u13512, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13512, tc_fun(_u13512, tc_HOL_Obool), tc_fun(_u13512, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13512, tc_HOL_Obool), tc_fun(_u13512, tc_HOL_Obool)), _u13512), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13512)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13512), c_fconj), hAPP(hAPP(c_COMBC(_u13512, tc_fun(_u13512, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13512)), _u13514)))), hAPP(hAPP(c_COMBC(_u13512, tc_fun(_u13512, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13512)), _u13514))), _u13505)) )).
% 20.36/20.56 cnf(fact_refl__on__def_H-2, axiom, ( ~c_Relation_Orefl__on(_u13512, _u13514, _u13516) | ~hBOOL(hAPP(hAPP(c_member(_u13512), _u13506), _u13514)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13512, _u13512)), hAPP(hAPP(c_Product__Type_OPair(_u13512, _u13512), _u13506), _u13506)), _u13516)) )).
% 20.36/20.56 cnf(fact_refl__on__def_H-3, axiom, ( c_Relation_Orefl__on(_u13513, _u13515, _u13517) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13513, _u13513)), skolem333(_u13517, _u13515, _u13513)), _u13517)) | hBOOL(hAPP(hAPP(c_member(_u13513), skolem334(_u13517, _u13515, _u13513)), _u13515)) )).
% 20.36/20.56 cnf(fact_refl__on__def_H-4, axiom, ( c_Relation_Orefl__on(_u13513, _u13515, _u13517) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13513, _u13513)), skolem333(_u13517, _u13515, _u13513)), _u13517)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13513, _u13513)), hAPP(hAPP(c_Product__Type_OPair(_u13513, _u13513), skolem334(_u13517, _u13515, _u13513)), skolem334(_u13517, _u13515, _u13513))), _u13517)) )).
% 20.36/20.56 cnf(fact_refl__on__def_H-5, axiom, ( c_Relation_Orefl__on(_u13513, _u13515, _u13517) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13513, _u13513, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13513, tc_fun(_u13513, tc_HOL_Obool), tc_fun(_u13513, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13513, tc_HOL_Obool), tc_fun(_u13513, tc_HOL_Obool)), _u13513), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13513)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13513), c_fconj), hAPP(hAPP(c_COMBC(_u13513, tc_fun(_u13513, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13513)), _u13515)))), hAPP(hAPP(c_COMBC(_u13513, tc_fun(_u13513, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13513)), _u13515))), skolem333(_u13517, _u13515, _u13513))) | hBOOL(hAPP(hAPP(c_member(_u13513), skolem334(_u13517, _u13515, _u13513)), _u13515)) )).
% 20.36/20.56 cnf(fact_refl__on__def_H-6, axiom, ( c_Relation_Orefl__on(_u13513, _u13515, _u13517) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13513, _u13513, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13513, tc_fun(_u13513, tc_HOL_Obool), tc_fun(_u13513, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13513, tc_HOL_Obool), tc_fun(_u13513, tc_HOL_Obool)), _u13513), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13513)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13513), c_fconj), hAPP(hAPP(c_COMBC(_u13513, tc_fun(_u13513, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13513)), _u13515)))), hAPP(hAPP(c_COMBC(_u13513, tc_fun(_u13513, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13513)), _u13515))), skolem333(_u13517, _u13515, _u13513))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13513, _u13513)), hAPP(hAPP(c_Product__Type_OPair(_u13513, _u13513), skolem334(_u13517, _u13515, _u13513)), skolem334(_u13517, _u13515, _u13513))), _u13517)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_ball__empty ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_ball__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13519), _u13518), c_Orderings_Obot__class_Obot(tc_fun(_u13519, tc_HOL_Obool)))) | hBOOL(hAPP(_u13520, _u13518)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_wf__acyclic ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_wf__acyclic-1, axiom, ( ~c_Wellfounded_Owf(_u13521, _u13522) | c_Wellfounded_Oacyclic(_u13521, _u13522) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_acyclic__subset ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_acyclic__subset-1, axiom, ( ~c_Wellfounded_Oacyclic(_u13523, _u13524) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13523, _u13523), tc_HOL_Obool)), _u13525), _u13524)) | c_Wellfounded_Oacyclic(_u13523, _u13525) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Powp__def ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Powp__def-1, axiom, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u13531, _u13533), _u13535)) | ~hBOOL(hAPP(hAPP(c_member(_u13531), _u13526), _u13535)) | hBOOL(hAPP(_u13533, _u13526)) )).
% 20.36/20.56 cnf(fact_Powp__def-2, axiom, ( hBOOL(hAPP(c_Predicate_OPowp(_u13532, _u13534), _u13536)) | hBOOL(hAPP(hAPP(c_member(_u13532), skolem335(_u13536, _u13534, _u13532)), _u13536)) )).
% 20.36/20.56 cnf(fact_Powp__def-3, axiom, ( hBOOL(hAPP(c_Predicate_OPowp(_u13532, _u13534), _u13536)) | ~hBOOL(hAPP(_u13534, skolem335(_u13536, _u13534, _u13532))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_INFI__bool__eq ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_INFI__bool__eq-1, axiom, ( ( c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u13537, tc_HOL_Obool) = c_Set_OBall(_u13537)) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_Collect__ball__eq ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_Collect__ball__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u13538), hAPP(hAPP(c_COMBB(tc_fun(_u13539, tc_HOL_Obool), tc_HOL_Obool, _u13538), c_HOL_OAll(_u13539)), hAPP(hAPP(c_COMBB(tc_fun(_u13539, tc_HOL_Obool), tc_fun(_u13539, tc_HOL_Obool), _u13538), hAPP(c_COMBS(_u13539, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13539), c_fimplies), hAPP(hAPP(c_COMBC(_u13539, tc_fun(_u13539, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13539)), _u13540)))), _u13541))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u13539, tc_fun(_u13538, tc_HOL_Obool)), _u13540), hAPP(hAPP(c_COMBB(tc_fun(_u13538, tc_HOL_Obool), tc_fun(_u13538, tc_HOL_Obool), _u13539), c_Set_OCollect(_u13538)), hAPP(c_COMBC(_u13538, _u13539, tc_HOL_Obool), _u13541)))) )).
% 20.36/20.56
% 20.36/20.56 % Formula: fact_congruent__def ( axiom ) converted to clauses:
% 20.36/20.56 cnf(fact_congruent__def-1, axiom, ( ~c_Equiv__Relations_Ocongruent(_u13548, _u13550, _u13552, _u13554) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13548, _u13548)), _u13542), _u13552)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13548, _u13548, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13548, tc_fun(_u13548, _u13550), tc_fun(_u13548, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13550, tc_HOL_Obool), tc_fun(tc_fun(_u13548, _u13550), tc_fun(_u13548, tc_HOL_Obool)), _u13548), c_COMBB(_u13550, tc_HOL_Obool, _u13548)), hAPP(hAPP(c_COMBB(_u13550, tc_fun(_u13550, tc_HOL_Obool), _u13548), c_fequal), _u13554))), _u13554)), _u13542)) )).
% 20.36/20.57 cnf(fact_congruent__def-2, axiom, ( c_Equiv__Relations_Ocongruent(_u13549, _u13551, _u13553, _u13555) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13549, _u13549)), skolem336(_u13555, _u13553, _u13551, _u13549)), _u13553)) )).
% 20.36/20.57 cnf(fact_congruent__def-3, axiom, ( c_Equiv__Relations_Ocongruent(_u13549, _u13551, _u13553, _u13555) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13549, _u13549, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13549, tc_fun(_u13549, _u13551), tc_fun(_u13549, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13551, tc_HOL_Obool), tc_fun(tc_fun(_u13549, _u13551), tc_fun(_u13549, tc_HOL_Obool)), _u13549), c_COMBB(_u13551, tc_HOL_Obool, _u13549)), hAPP(hAPP(c_COMBB(_u13551, tc_fun(_u13551, tc_HOL_Obool), _u13549), c_fequal), _u13555))), _u13555)), skolem336(_u13555, _u13553, _u13551, _u13549))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_INTER__def ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_INTER__def-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u13556, tc_fun(_u13557, tc_HOL_Obool)), _u13558), _u13559) = hAPP(c_Set_OCollect(_u13557), hAPP(hAPP(c_COMBB(tc_fun(_u13556, tc_HOL_Obool), tc_HOL_Obool, _u13557), c_HOL_OAll(_u13556)), hAPP(hAPP(c_COMBB(tc_fun(_u13556, tc_HOL_Obool), tc_fun(_u13556, tc_HOL_Obool), _u13557), hAPP(c_COMBS(_u13556, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13556), c_fimplies), hAPP(hAPP(c_COMBC(_u13556, tc_fun(_u13556, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13556)), _u13558)))), hAPP(hAPP(c_COMBC(_u13557, tc_fun(_u13556, tc_fun(_u13557, tc_HOL_Obool)), tc_fun(_u13556, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13557, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u13556, tc_fun(_u13557, tc_HOL_Obool)), tc_fun(_u13556, tc_HOL_Obool)), _u13557), c_COMBB(tc_fun(_u13557, tc_HOL_Obool), tc_HOL_Obool, _u13556)), c_member(_u13557))), _u13559))))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_wf__iff__acyclic__if__finite ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_wf__iff__acyclic__if__finite-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13560, _u13560)), _u13561)) | ~c_Wellfounded_Owf(_u13560, _u13561) | c_Wellfounded_Oacyclic(_u13560, _u13561) )).
% 20.36/20.57 cnf(fact_wf__iff__acyclic__if__finite-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13560, _u13560)), _u13561)) | ~c_Wellfounded_Oacyclic(_u13560, _u13561) | c_Wellfounded_Owf(_u13560, _u13561) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_finite__acyclic__wf ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_finite__acyclic__wf-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13562, _u13562)), _u13563)) | ~c_Wellfounded_Oacyclic(_u13562, _u13563) | c_Wellfounded_Owf(_u13562, _u13563) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Sup__Inf ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Sup__Inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u13564) | ( c_Complete__Lattice_OSup__class_OSup(_u13564, _u13565) = c_Complete__Lattice_OInf__class_OInf(_u13564, hAPP(c_Set_OCollect(_u13564), hAPP(hAPP(c_COMBB(tc_fun(_u13564, tc_HOL_Obool), tc_HOL_Obool, _u13564), c_HOL_OAll(_u13564)), hAPP(hAPP(c_COMBB(tc_fun(_u13564, tc_HOL_Obool), tc_fun(_u13564, tc_HOL_Obool), _u13564), hAPP(c_COMBS(_u13564, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13564), c_fimplies), hAPP(hAPP(c_COMBC(_u13564, tc_fun(_u13564, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13564)), _u13565)))), hAPP(c_COMBC(_u13564, _u13564, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u13564))))))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Inf__Sup ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Inf__Sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u13566) | ( c_Complete__Lattice_OInf__class_OInf(_u13566, _u13567) = c_Complete__Lattice_OSup__class_OSup(_u13566, hAPP(c_Set_OCollect(_u13566), hAPP(hAPP(c_COMBB(tc_fun(_u13566, tc_HOL_Obool), tc_HOL_Obool, _u13566), c_HOL_OAll(_u13566)), hAPP(hAPP(c_COMBB(tc_fun(_u13566, tc_HOL_Obool), tc_fun(_u13566, tc_HOL_Obool), _u13566), hAPP(c_COMBS(_u13566, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13566), c_fimplies), hAPP(hAPP(c_COMBC(_u13566, tc_fun(_u13566, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13566)), _u13567)))), c_Orderings_Oord__class_Oless__eq(_u13566)))))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Nitpick_Owf_H__def ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Nitpick_Owf_H__def-1, axiom, ( ~c_Nitpick_Owf_H(_u13570, _u13572) | c_Wellfounded_Oacyclic(_u13570, _u13572) )).
% 20.36/20.57 cnf(fact_Nitpick_Owf_H__def-2, axiom, ( ~c_Nitpick_Owf_H(_u13570, _u13572) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13570, _u13570)), _u13572)) | c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 20.36/20.57 cnf(fact_Nitpick_Owf_H__def-3, axiom, ( c_Nitpick_Owf_H(_u13571, _u13573) | ~c_Wellfounded_Oacyclic(_u13571, _u13573) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13571, _u13571)), _u13573)) )).
% 20.36/20.57 cnf(fact_Nitpick_Owf_H__def-4, axiom, ( c_Nitpick_Owf_H(_u13571, _u13573) | ~c_Wellfounded_Oacyclic(_u13571, _u13573) | ~c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Abs__Integ__cases ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Abs__Integ__cases-1, axiom, ( ( _u13575 = hAPP(c_Int_OAbs__Integ, skolem337(_u13575))) )).
% 20.36/20.57 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)), skolem337(_u13575)), c_Int_OInteg)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Abs__Integ__induct ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Abs__Integ__induct-1, axiom, ( hBOOL(hAPP(_u13577, _u13578)) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), skolem338(_u13578, _u13577)), c_Int_OInteg)) )).
% 20.36/20.57 cnf(fact_Abs__Integ__induct-2, axiom, ( hBOOL(hAPP(_u13577, _u13578)) | ~hBOOL(hAPP(_u13577, hAPP(c_Int_OAbs__Integ, skolem338(_u13578, _u13577)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Inter__eq ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Inter__eq-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u13579, tc_HOL_Obool), _u13580) = hAPP(c_Set_OCollect(_u13579), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13579, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, _u13579), c_HOL_OAll(tc_fun(_u13579, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13579, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u13579, tc_HOL_Obool), tc_HOL_Obool), _u13579), hAPP(c_COMBS(tc_fun(_u13579, 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(_u13579, tc_HOL_Obool)), c_fimplies), hAPP(hAPP(c_COMBC(tc_fun(_u13579, tc_HOL_Obool), tc_fun(tc_fun(_u13579, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u13579, tc_HOL_Obool))), _u13580)))), c_member(_u13579))))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_finite__UN__I ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_finite__UN__I-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13582), _u13583)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13584), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13582, tc_fun(_u13584, tc_HOL_Obool)), _u13583), _u13585))) | hBOOL(hAPP(hAPP(c_member(_u13582), skolem339(_u13585, _u13584, _u13583, _u13582)), _u13583)) )).
% 20.36/20.57 cnf(fact_finite__UN__I-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13582), _u13583)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13584), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13582, tc_fun(_u13584, tc_HOL_Obool)), _u13583), _u13585))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13584), hAPP(_u13585, skolem339(_u13585, _u13584, _u13583, _u13582)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_inj__on__diff__nat ( axiom ) converted to clauses:
% 20.36/20.57 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)), _u13588), _u13587) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem340(_u13588, _u13587)), _u13587)) )).
% 20.36/20.57 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)), _u13588), _u13587) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u13588), skolem340(_u13588, _u13587))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_wfP__SUP ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_wfP__SUP-1, axiom, ( ~c_Wellfounded_OwfP(_u13592, hAPP(_u13593, skolem341(_u13594, _u13593, _u13592))) | c_Wellfounded_OwfP(_u13592, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13594, tc_fun(_u13592, tc_fun(_u13592, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u13594, tc_HOL_Obool))), _u13593)) | ( hAPP(_u13593, skolem342(_u13594, _u13593, _u13592)) != hAPP(_u13593, skolem343(_u13594, _u13593, _u13592))) )).
% 20.36/20.57 cnf(fact_wfP__SUP-2, axiom, ( ~c_Wellfounded_OwfP(_u13592, hAPP(_u13593, skolem341(_u13594, _u13593, _u13592))) | c_Wellfounded_OwfP(_u13592, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13594, tc_fun(_u13592, tc_fun(_u13592, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u13594, tc_HOL_Obool))), _u13593)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13592, tc_HOL_Obool)), c_Predicate_ODomainP(_u13592, _u13592, hAPP(_u13593, skolem342(_u13594, _u13593, _u13592)))), c_Predicate_ORangeP(_u13592, _u13592, hAPP(_u13593, skolem343(_u13594, _u13593, _u13592)))) != c_Orderings_Obot__class_Obot(tc_fun(_u13592, tc_HOL_Obool))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_mem__splitI2 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_mem__splitI2-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13600), _u13601), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13598, _u13599, tc_fun(_u13600, tc_HOL_Obool)), _u13602), _u13597))) | ( _u13597 = hAPP(hAPP(c_Product__Type_OPair(_u13598, _u13599), skolem344(_u13602, _u13601, _u13600, _u13599, _u13598, _u13597)), skolem345(_u13602, _u13601, _u13600, _u13599, _u13598, _u13597))) )).
% 20.36/20.57 cnf(fact_mem__splitI2-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13600), _u13601), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13598, _u13599, tc_fun(_u13600, tc_HOL_Obool)), _u13602), _u13597))) | ~hBOOL(hAPP(hAPP(c_member(_u13600), _u13601), hAPP(hAPP(_u13602, skolem344(_u13602, _u13601, _u13600, _u13599, _u13598, _u13597)), skolem345(_u13602, _u13601, _u13600, _u13599, _u13598, _u13597)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_mem__splitE ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_mem__splitE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13605), _u13606), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13607, _u13608, tc_fun(_u13605, tc_HOL_Obool)), _u13609), _u13610))) | ( _u13610 = hAPP(hAPP(c_Product__Type_OPair(_u13607, _u13608), skolem346(_u13610, _u13609, _u13608, _u13607, _u13606, _u13605)), skolem347(_u13610, _u13609, _u13608, _u13607, _u13606, _u13605))) )).
% 20.36/20.57 cnf(fact_mem__splitE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13605), _u13606), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13607, _u13608, tc_fun(_u13605, tc_HOL_Obool)), _u13609), _u13610))) | hBOOL(hAPP(hAPP(c_member(_u13605), _u13606), hAPP(hAPP(_u13609, skolem346(_u13610, _u13609, _u13608, _u13607, _u13606, _u13605)), skolem347(_u13610, _u13609, _u13608, _u13607, _u13606, _u13605)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_vimage__Times ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_vimage__Times-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13611, tc_prod(_u13612, _u13613), _u13614), hAPP(hAPP(c_Product__Type_OSigma(_u13612, _u13613), _u13615), hAPP(c_COMBK(tc_fun(_u13613, tc_HOL_Obool), _u13612), _u13616))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13611, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13611, _u13612, hAPP(c_Fun_Ocomp(tc_prod(_u13612, _u13613), _u13612, _u13611, c_Product__Type_Ofst(_u13612, _u13613)), _u13614)), _u13615)), hAPP(c_Set_Ovimage(_u13611, _u13613, hAPP(c_Fun_Ocomp(tc_prod(_u13612, _u13613), _u13613, _u13611, c_Product__Type_Osnd(_u13612, _u13613)), _u13614)), _u13616))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_o__eq__id__dest ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_o__eq__id__dest-1, axiom, ( ( hAPP(_u13620, hAPP(_u13621, _u13623)) = hAPP(_u13622, _u13623)) | ( hAPP(c_Fun_Ocomp(_u13617, _u13618, _u13619, _u13620), _u13621) != hAPP(c_Fun_Ocomp(_u13618, _u13618, _u13619, c_Fun_Oid(_u13618)), _u13622)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_id__o ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_id__o-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13624, _u13624, _u13625, c_Fun_Oid(_u13624)), _u13626) = _u13626) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_o__id ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_o__id-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13627, _u13628, _u13627, _u13629), c_Fun_Oid(_u13627)) = _u13629) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_fun__upd__comp ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_fun__upd__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13630, _u13631, _u13632, _u13633), c_Fun_Ofun__upd(_u13632, _u13630, _u13634, _u13635, _u13636)) = c_Fun_Ofun__upd(_u13632, _u13631, hAPP(c_Fun_Ocomp(_u13630, _u13631, _u13632, _u13633), _u13634), _u13635, hAPP(_u13633, _u13636))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_apsnd__compose ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_apsnd__compose-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u13637, _u13638, _u13639, _u13640), hAPP(c_Product__Type_Oapsnd(_u13641, _u13637, _u13639, _u13642), _u13643)) = hAPP(c_Product__Type_Oapsnd(_u13641, _u13638, _u13639, hAPP(c_Fun_Ocomp(_u13637, _u13638, _u13641, _u13640), _u13642)), _u13643)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_fun__left__comm_Ofun__comp__comm ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_fun__left__comm_Ofun__comp__comm-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13645, _u13645, _u13645, hAPP(_u13646, _u13647)), hAPP(_u13646, _u13648)) = hAPP(c_Fun_Ocomp(_u13645, _u13645, _u13645, hAPP(_u13646, _u13648)), hAPP(_u13646, _u13647))) | ~c_Finite__Set_Ofun__left__comm(_u13644, _u13645, _u13646) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_comp__cong ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_comp__cong-1, axiom, ( ( hAPP(_u13649, hAPP(_u13650, _u13651)) != hAPP(_u13652, hAPP(_u13653, _u13654))) | ( hAPP(hAPP(c_Fun_Ocomp(_u13655, _u13656, _u13657, _u13649), _u13650), _u13651) = hAPP(hAPP(c_Fun_Ocomp(_u13658, _u13656, _u13659, _u13652), _u13653), _u13654)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_fun__left__comm__idem_Ofun__comp__idem ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_fun__left__comm__idem_Ofun__comp__idem-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13661, _u13661, _u13661, hAPP(_u13662, _u13663)), hAPP(_u13662, _u13663)) = hAPP(_u13662, _u13663)) | ~c_Finite__Set_Ofun__left__comm__idem(_u13660, _u13661, _u13662) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_o__eq__dest__lhs ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_o__eq__dest__lhs-1, axiom, ( ( hAPP(_u13667, hAPP(_u13668, _u13670)) = hAPP(_u13669, _u13670)) | ( hAPP(c_Fun_Ocomp(_u13664, _u13665, _u13666, _u13667), _u13668) != _u13669) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_K__record__comp ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_K__record__comp-1, axiom, ( ( hAPP(hAPP(c_Fun_Ocomp(_u13671, _u13672, _u13673, hAPP(c_COMBK(_u13672, _u13671), _u13674)), _u13675), _u13676) = _u13674) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_apfst__compose ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_apfst__compose-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u13677, _u13678, _u13679, _u13680), hAPP(c_Product__Type_Oapfst(_u13681, _u13677, _u13679, _u13682), _u13683)) = hAPP(c_Product__Type_Oapfst(_u13681, _u13678, _u13679, hAPP(c_Fun_Ocomp(_u13677, _u13678, _u13681, _u13680), _u13682)), _u13683)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_o__def ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_o__def-1, axiom, ( ( hAPP(hAPP(c_Fun_Ocomp(_u13684, _u13685, _u13686, _u13687), _u13688), _u13689) = hAPP(_u13687, hAPP(_u13688, _u13689))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_vimage__compose ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_vimage__compose-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13690, _u13691, hAPP(c_Fun_Ocomp(_u13692, _u13691, _u13690, _u13693), _u13694)), _u13695) = hAPP(c_Set_Ovimage(_u13690, _u13692, _u13694), hAPP(c_Set_Ovimage(_u13692, _u13691, _u13693), _u13695))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_o__assoc ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_o__assoc-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13696, _u13697, _u13698, _u13699), hAPP(c_Fun_Ocomp(_u13700, _u13696, _u13698, _u13701), _u13702)) = hAPP(c_Fun_Ocomp(_u13700, _u13697, _u13698, hAPP(c_Fun_Ocomp(_u13696, _u13697, _u13700, _u13699), _u13701)), _u13702)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_o__apply ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_o__apply-1, axiom, ( ( hAPP(hAPP(c_Fun_Ocomp(_u13703, _u13704, _u13705, _u13706), _u13707), _u13708) = hAPP(_u13706, hAPP(_u13707, _u13708))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_o__eq__dest ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_o__eq__dest-1, axiom, ( ( hAPP(_u13712, hAPP(_u13713, _u13717)) = hAPP(_u13715, hAPP(_u13716, _u13717))) | ( hAPP(c_Fun_Ocomp(_u13709, _u13710, _u13711, _u13712), _u13713) != hAPP(c_Fun_Ocomp(_u13714, _u13710, _u13711, _u13715), _u13716)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_o__eq__elim ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_o__eq__elim-1, axiom, ( ( hAPP(_u13722, hAPP(_u13723, _u13718)) = hAPP(_u13725, hAPP(_u13726, _u13718))) | ( hAPP(c_Fun_Ocomp(_u13719, _u13720, _u13721, _u13722), _u13723) != hAPP(c_Fun_Ocomp(_u13724, _u13720, _u13721, _u13725), _u13726)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_map__pair_Ocompositionality ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_map__pair_Ocompositionality-1, axiom, ( ( hAPP(c_Product__Type_Omap__pair(_u13727, _u13728, _u13729, _u13730, _u13731, _u13732), hAPP(c_Product__Type_Omap__pair(_u13733, _u13727, _u13734, _u13729, _u13735, _u13736), _u13737)) = hAPP(c_Product__Type_Omap__pair(_u13733, _u13728, _u13734, _u13730, hAPP(c_Fun_Ocomp(_u13727, _u13728, _u13733, _u13731), _u13735), hAPP(c_Fun_Ocomp(_u13729, _u13730, _u13734, _u13732), _u13736)), _u13737)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_map__pair__compose ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_map__pair__compose-1, axiom, ( ( c_Product__Type_Omap__pair(_u13738, _u13739, _u13740, _u13741, hAPP(c_Fun_Ocomp(_u13742, _u13739, _u13738, _u13743), _u13744), hAPP(c_Fun_Ocomp(_u13745, _u13741, _u13740, _u13746), _u13747)) = hAPP(c_Fun_Ocomp(tc_prod(_u13742, _u13745), tc_prod(_u13739, _u13741), tc_prod(_u13738, _u13740), c_Product__Type_Omap__pair(_u13742, _u13739, _u13745, _u13741, _u13743, _u13746)), c_Product__Type_Omap__pair(_u13738, _u13742, _u13740, _u13745, _u13744, _u13747))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_map__pair_Ocomp ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_map__pair_Ocomp-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13748, _u13749), tc_prod(_u13750, _u13751), tc_prod(_u13752, _u13753), c_Product__Type_Omap__pair(_u13748, _u13750, _u13749, _u13751, _u13754, _u13755)), c_Product__Type_Omap__pair(_u13752, _u13748, _u13753, _u13749, _u13756, _u13757)) = c_Product__Type_Omap__pair(_u13752, _u13750, _u13753, _u13751, hAPP(c_Fun_Ocomp(_u13748, _u13750, _u13752, _u13754), _u13756), hAPP(c_Fun_Ocomp(_u13749, _u13751, _u13753, _u13755), _u13757))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_image__compose ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_image__compose-1, axiom, ( ( hAPP(c_Set_Oimage(_u13758, _u13759, hAPP(c_Fun_Ocomp(_u13760, _u13759, _u13758, _u13761), _u13762)), _u13763) = hAPP(c_Set_Oimage(_u13760, _u13759, _u13761), hAPP(c_Set_Oimage(_u13758, _u13760, _u13762), _u13763))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_comp__surj ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_comp__surj-1, axiom, ( ( hAPP(c_Set_Oimage(_u13764, _u13765, _u13766), c_Orderings_Otop__class_Otop(tc_fun(_u13764, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13765, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13765, _u13767, _u13768), c_Orderings_Otop__class_Otop(tc_fun(_u13765, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13767, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13764, _u13767, hAPP(c_Fun_Ocomp(_u13765, _u13767, _u13764, _u13768), _u13766)), c_Orderings_Otop__class_Otop(tc_fun(_u13764, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u13767, tc_HOL_Obool))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_inj__on__imageI2 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_inj__on__imageI2-1, axiom, ( ~c_Fun_Oinj__on(_u13769, _u13770, hAPP(c_Fun_Ocomp(_u13771, _u13770, _u13769, _u13772), _u13773), _u13774) | c_Fun_Oinj__on(_u13769, _u13771, _u13773, _u13774) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_inj__comp ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_inj__comp-1, axiom, ( ~c_Fun_Oinj__on(_u13775, _u13776, _u13777, c_Orderings_Otop__class_Otop(tc_fun(_u13775, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u13778, _u13775, _u13779, c_Orderings_Otop__class_Otop(tc_fun(_u13778, tc_HOL_Obool))) | c_Fun_Oinj__on(_u13778, _u13776, hAPP(c_Fun_Ocomp(_u13775, _u13776, _u13778, _u13777), _u13779), c_Orderings_Otop__class_Otop(tc_fun(_u13778, tc_HOL_Obool))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_comp__inj__on__iff ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_comp__inj__on__iff-1, axiom, ( ~c_Fun_Oinj__on(_u13780, _u13781, _u13782, _u13783) | ~c_Fun_Oinj__on(_u13781, _u13784, _u13785, hAPP(c_Set_Oimage(_u13780, _u13781, _u13782), _u13783)) | c_Fun_Oinj__on(_u13780, _u13784, hAPP(c_Fun_Ocomp(_u13781, _u13784, _u13780, _u13785), _u13782), _u13783) )).
% 20.36/20.57 cnf(fact_comp__inj__on__iff-2, axiom, ( ~c_Fun_Oinj__on(_u13780, _u13781, _u13782, _u13783) | ~c_Fun_Oinj__on(_u13780, _u13784, hAPP(c_Fun_Ocomp(_u13781, _u13784, _u13780, _u13785), _u13782), _u13783) | c_Fun_Oinj__on(_u13781, _u13784, _u13785, hAPP(c_Set_Oimage(_u13780, _u13781, _u13782), _u13783)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_comp__inj__on ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_comp__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u13786, _u13787, _u13788, _u13789) | ~c_Fun_Oinj__on(_u13787, _u13790, _u13791, hAPP(c_Set_Oimage(_u13786, _u13787, _u13788), _u13789)) | c_Fun_Oinj__on(_u13786, _u13790, hAPP(c_Fun_Ocomp(_u13787, _u13790, _u13786, _u13791), _u13788), _u13789) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_inj__on__imageI ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_inj__on__imageI-1, axiom, ( ~c_Fun_Oinj__on(_u13792, _u13793, hAPP(c_Fun_Ocomp(_u13794, _u13793, _u13792, _u13795), _u13796), _u13797) | c_Fun_Oinj__on(_u13794, _u13793, _u13795, hAPP(c_Set_Oimage(_u13792, _u13794, _u13796), _u13797)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_setsum__reindex ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_setsum__reindex-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13798) | ~c_Fun_Oinj__on(_u13799, _u13800, _u13801, _u13802) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13800, _u13798), _u13803), hAPP(c_Set_Oimage(_u13799, _u13800, _u13801), _u13802)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13799, _u13798), hAPP(c_Fun_Ocomp(_u13800, _u13798, _u13799, _u13803), _u13801)), _u13802)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_setprod__reindex ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_setprod__reindex-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13804) | ~c_Fun_Oinj__on(_u13805, _u13806, _u13807, _u13808) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13806, _u13804), _u13809), hAPP(c_Set_Oimage(_u13805, _u13806, _u13807), _u13808)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13805, _u13804), hAPP(c_Fun_Ocomp(_u13806, _u13804, _u13805, _u13809), _u13807)), _u13808)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_setprod__reindex__cong ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_setprod__reindex__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13810) | ~c_Fun_Oinj__on(_u13811, _u13812, _u13813, _u13814) | ( _u13815 != hAPP(c_Set_Oimage(_u13811, _u13812, _u13813), _u13814)) | ( _u13816 != hAPP(c_Fun_Ocomp(_u13812, _u13810, _u13811, _u13817), _u13813)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13812, _u13810), _u13817), _u13815) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13811, _u13810), _u13816), _u13814)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_setsum_Oreindex ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_setsum_Oreindex-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13818) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13819), _u13820)) | ~c_Fun_Oinj__on(_u13819, _u13819, _u13821, _u13820) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13819, _u13818), _u13822), hAPP(c_Set_Oimage(_u13819, _u13819, _u13821), _u13820)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13819, _u13818), hAPP(c_Fun_Ocomp(_u13819, _u13818, _u13819, _u13822), _u13821)), _u13820)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_setprod_Oreindex ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_setprod_Oreindex-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13823) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13824), _u13825)) | ~c_Fun_Oinj__on(_u13824, _u13824, _u13826, _u13825) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13824, _u13823), _u13827), hAPP(c_Set_Oimage(_u13824, _u13824, _u13826), _u13825)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13824, _u13823), hAPP(c_Fun_Ocomp(_u13824, _u13823, _u13824, _u13827), _u13826)), _u13825)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_the__inv__into__comp ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_the__inv__into__comp-1, axiom, ( ~c_Fun_Oinj__on(_u13828, _u13829, _u13830, hAPP(c_Set_Oimage(_u13831, _u13828, _u13832), _u13833)) | ~c_Fun_Oinj__on(_u13831, _u13828, _u13832, _u13833) | ~hBOOL(hAPP(hAPP(c_member(_u13829), _u13834), hAPP(c_Set_Oimage(_u13828, _u13829, _u13830), hAPP(c_Set_Oimage(_u13831, _u13828, _u13832), _u13833)))) | ( hAPP(c_Fun_Othe__inv__into(_u13831, _u13829, _u13833, hAPP(c_Fun_Ocomp(_u13828, _u13829, _u13831, _u13830), _u13832)), _u13834) = hAPP(hAPP(c_Fun_Ocomp(_u13828, _u13831, _u13829, c_Fun_Othe__inv__into(_u13831, _u13828, _u13833, _u13832)), c_Fun_Othe__inv__into(_u13828, _u13829, hAPP(c_Set_Oimage(_u13831, _u13828, _u13832), _u13833), _u13830)), _u13834)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_fold__image__reindex ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_fold__image__reindex-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u13835) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13836), _u13837)) | ~c_Fun_Oinj__on(_u13836, _u13838, _u13839, _u13837) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13835, _u13838, c_Groups_Otimes__class_Otimes(_u13835)), _u13840), _u13841), hAPP(c_Set_Oimage(_u13836, _u13838, _u13839), _u13837)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13835, _u13836, c_Groups_Otimes__class_Otimes(_u13835)), hAPP(c_Fun_Ocomp(_u13838, _u13835, _u13836, _u13840), _u13839)), _u13841), _u13837)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_folding_Oremove ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_folding_Oremove-1, axiom, ( ~c_Finite__Set_Ofolding(_u13842, _u13843, _u13844, _u13845) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13842), _u13846)) | ~hBOOL(hAPP(hAPP(c_member(_u13842), _u13847), _u13846)) | ( hAPP(_u13845, _u13846) = hAPP(c_Fun_Ocomp(_u13843, _u13843, _u13843, hAPP(_u13845, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13842, tc_HOL_Obool)), _u13846), hAPP(hAPP(c_Set_Oinsert(_u13842), _u13847), c_Orderings_Obot__class_Obot(tc_fun(_u13842, tc_HOL_Obool)))))), hAPP(_u13844, _u13847))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_folding__image_Oreindex ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_folding__image_Oreindex-1, axiom, ( ~c_Finite__Set_Ofolding__image(_u13848, _u13849, _u13850, _u13851, _u13852) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13849), _u13853)) | ~c_Fun_Oinj__on(_u13849, _u13849, _u13854, _u13853) | ( hAPP(hAPP(_u13852, _u13855), hAPP(c_Set_Oimage(_u13849, _u13849, _u13854), _u13853)) = hAPP(hAPP(_u13852, hAPP(c_Fun_Ocomp(_u13849, _u13848, _u13849, _u13855), _u13854)), _u13853)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_folding_Ounion ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_folding_Ounion-1, axiom, ( ~c_Finite__Set_Ofolding(_u13856, _u13857, _u13858, _u13859) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13856), _u13860)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13856), _u13861)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13856, tc_HOL_Obool)), _u13860), _u13861) != c_Orderings_Obot__class_Obot(tc_fun(_u13856, tc_HOL_Obool))) | ( hAPP(_u13859, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13856, tc_HOL_Obool)), _u13860), _u13861)) = hAPP(c_Fun_Ocomp(_u13857, _u13857, _u13857, hAPP(_u13859, _u13860)), hAPP(_u13859, _u13861))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_folding_Ocommute__comps_I1_J ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_folding_Ocommute__comps_I1_J-1, axiom, ( ~c_Finite__Set_Ofolding(_u13862, _u13863, _u13864, _u13865) | ( hAPP(c_Fun_Ocomp(_u13866, _u13867, _u13868, _u13869), hAPP(c_Fun_Ocomp(_u13870, _u13866, _u13868, _u13871), _u13872)) = hAPP(c_Fun_Ocomp(_u13870, _u13867, _u13868, hAPP(c_Fun_Ocomp(_u13866, _u13867, _u13870, _u13869), _u13871)), _u13872)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_folding_Ocommute__comp ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_folding_Ocommute__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13874, _u13874, _u13874, hAPP(_u13875, _u13877)), hAPP(_u13875, _u13878)) = hAPP(c_Fun_Ocomp(_u13874, _u13874, _u13874, hAPP(_u13875, _u13878)), hAPP(_u13875, _u13877))) | ~c_Finite__Set_Ofolding(_u13873, _u13874, _u13875, _u13876) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_folding_Ocommute__left__comp ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_folding_Ocommute__left__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13880, _u13880, _u13883, hAPP(_u13881, _u13884)), hAPP(c_Fun_Ocomp(_u13880, _u13880, _u13883, hAPP(_u13881, _u13885)), _u13886)) = hAPP(c_Fun_Ocomp(_u13880, _u13880, _u13883, hAPP(_u13881, _u13885)), hAPP(c_Fun_Ocomp(_u13880, _u13880, _u13883, hAPP(_u13881, _u13884)), _u13886))) | ~c_Finite__Set_Ofolding(_u13879, _u13880, _u13881, _u13882) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_fst__comp__map__pair ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_fst__comp__map__pair-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13887, _u13888), _u13887, tc_prod(_u13889, _u13890), c_Product__Type_Ofst(_u13887, _u13888)), c_Product__Type_Omap__pair(_u13889, _u13887, _u13890, _u13888, _u13891, _u13892)) = hAPP(c_Fun_Ocomp(_u13889, _u13887, tc_prod(_u13889, _u13890), _u13891), c_Product__Type_Ofst(_u13889, _u13890))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_UN__o ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_UN__o-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13893, tc_fun(_u13894, tc_HOL_Obool)), _u13895), hAPP(c_Fun_Ocomp(_u13896, tc_fun(_u13894, tc_HOL_Obool), _u13893, _u13897), _u13898)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13896, tc_fun(_u13894, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13893, _u13896, _u13898), _u13895)), _u13897)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_snd__comp__map__pair ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_snd__comp__map__pair-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13899, _u13900), _u13900, tc_prod(_u13901, _u13902), c_Product__Type_Osnd(_u13899, _u13900)), c_Product__Type_Omap__pair(_u13901, _u13899, _u13902, _u13900, _u13903, _u13904)) = hAPP(c_Fun_Ocomp(_u13902, _u13900, tc_prod(_u13901, _u13902), _u13904), c_Product__Type_Osnd(_u13901, _u13902))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_folding__image_Odistrib ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_folding__image_Odistrib-1, axiom, ( ~c_Finite__Set_Ofolding__image(_u13905, _u13906, _u13907, _u13908, _u13909) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13906), _u13910)) | ( hAPP(hAPP(_u13909, hAPP(hAPP(c_COMBS(_u13906, _u13905, _u13905), hAPP(hAPP(c_COMBB(_u13905, tc_fun(_u13905, _u13905), _u13906), _u13907), _u13911)), _u13912)), _u13910) = hAPP(hAPP(_u13907, hAPP(hAPP(_u13909, _u13911), _u13910)), hAPP(hAPP(_u13909, _u13912), _u13910))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_split__comp ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_split__comp-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13913, _u13914, _u13915), hAPP(c_Fun_Ocomp(_u13916, tc_fun(_u13914, _u13915), _u13913, _u13917), _u13918)), _u13919) = hAPP(hAPP(_u13917, hAPP(_u13918, hAPP(c_Product__Type_Ofst(_u13913, _u13914), _u13919))), hAPP(c_Product__Type_Osnd(_u13913, _u13914), _u13919))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_folding_Ocommute__comp_H ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_folding_Ocommute__comp_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u13920, _u13921, _u13922, _u13923) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13920), _u13924)) | ( hAPP(c_Fun_Ocomp(_u13921, _u13921, _u13921, hAPP(_u13922, _u13925)), hAPP(_u13923, _u13924)) = hAPP(c_Fun_Ocomp(_u13921, _u13921, _u13921, hAPP(_u13923, _u13924)), hAPP(_u13922, _u13925))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_folding_Ocommute__left__comp_H ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_folding_Ocommute__left__comp_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u13926, _u13927, _u13928, _u13929) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13926), _u13930)) | ( hAPP(c_Fun_Ocomp(_u13927, _u13927, _u13931, hAPP(_u13928, _u13932)), hAPP(c_Fun_Ocomp(_u13927, _u13927, _u13931, hAPP(_u13929, _u13930)), _u13933)) = hAPP(c_Fun_Ocomp(_u13927, _u13927, _u13931, hAPP(_u13929, _u13930)), hAPP(c_Fun_Ocomp(_u13927, _u13927, _u13931, hAPP(_u13928, _u13932)), _u13933))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_folding_Ocommute__comp_H_H ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_folding_Ocommute__comp_H_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u13934, _u13935, _u13936, _u13937) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13934), _u13938)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13934), _u13939)) | ( hAPP(c_Fun_Ocomp(_u13935, _u13935, _u13935, hAPP(_u13937, _u13939)), hAPP(_u13937, _u13938)) = hAPP(c_Fun_Ocomp(_u13935, _u13935, _u13935, hAPP(_u13937, _u13938)), hAPP(_u13937, _u13939))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_folding_Ocommute__left__comp_H_H ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_folding_Ocommute__left__comp_H_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u13940, _u13941, _u13942, _u13943) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13940), _u13944)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13940), _u13945)) | ( hAPP(c_Fun_Ocomp(_u13941, _u13941, _u13946, hAPP(_u13943, _u13945)), hAPP(c_Fun_Ocomp(_u13941, _u13941, _u13946, hAPP(_u13943, _u13944)), _u13947)) = hAPP(c_Fun_Ocomp(_u13941, _u13941, _u13946, hAPP(_u13943, _u13944)), hAPP(c_Fun_Ocomp(_u13941, _u13941, _u13946, hAPP(_u13943, _u13945)), _u13947))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_folding_Oempty ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_folding_Oempty-1, axiom, ( ~c_Finite__Set_Ofolding(_u13948, _u13949, _u13950, _u13951) | ( hAPP(_u13951, c_Orderings_Obot__class_Obot(tc_fun(_u13948, tc_HOL_Obool))) = c_Fun_Oid(_u13949)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_folding_Oeq__fold ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_folding_Oeq__fold-1, axiom, ( ~c_Finite__Set_Ofolding(_u13952, _u13953, _u13954, _u13955) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13952), _u13956)) | ( hAPP(hAPP(_u13955, _u13956), _u13957) = hAPP(hAPP(c_Finite__Set_Ofold(_u13952, _u13953, _u13954), _u13957), _u13956)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_folding__image_Oeq__fold ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_folding__image_Oeq__fold-1, axiom, ( ~c_Finite__Set_Ofolding__image(_u13958, _u13959, _u13960, _u13961, _u13962) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13959), _u13963)) | ( hAPP(hAPP(_u13962, _u13964), _u13963) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13958, _u13959, _u13960), _u13964), _u13961), _u13963)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_folding_Oinsert ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_folding_Oinsert-1, axiom, ( ~c_Finite__Set_Ofolding(_u13965, _u13966, _u13967, _u13968) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13965), _u13969)) | hBOOL(hAPP(hAPP(c_member(_u13965), _u13970), _u13969)) | ( hAPP(_u13968, hAPP(hAPP(c_Set_Oinsert(_u13965), _u13970), _u13969)) = hAPP(c_Fun_Ocomp(_u13966, _u13966, _u13966, hAPP(_u13968, _u13969)), hAPP(_u13967, _u13970))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_folding_Ounion__inter ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_folding_Ounion__inter-1, axiom, ( ~c_Finite__Set_Ofolding(_u13971, _u13972, _u13973, _u13974) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13971), _u13975)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13971), _u13976)) | ( hAPP(c_Fun_Ocomp(_u13972, _u13972, _u13972, hAPP(_u13974, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13971, tc_HOL_Obool)), _u13975), _u13976))), hAPP(_u13974, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13971, tc_HOL_Obool)), _u13975), _u13976))) = hAPP(c_Fun_Ocomp(_u13972, _u13972, _u13972, hAPP(_u13974, _u13975)), hAPP(_u13974, _u13976))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_folding_Oinsert__remove ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_folding_Oinsert__remove-1, axiom, ( ~c_Finite__Set_Ofolding(_u13977, _u13978, _u13979, _u13980) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13977), _u13981)) | ( hAPP(_u13980, hAPP(hAPP(c_Set_Oinsert(_u13977), _u13982), _u13981)) = hAPP(c_Fun_Ocomp(_u13978, _u13978, _u13978, hAPP(_u13980, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13977, tc_HOL_Obool)), _u13981), hAPP(hAPP(c_Set_Oinsert(_u13977), _u13982), c_Orderings_Obot__class_Obot(tc_fun(_u13977, tc_HOL_Obool)))))), hAPP(_u13979, _u13982))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Loop__sound__lemma ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Loop__sound__lemma-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__valids(_u13983, _u13984, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13983)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13983), c_Hoare__Mirabelle_Opeek__and(_u13983, _u13985, _u13986)), _u13987), _u13985)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13983), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__valids(_u13983, _u13984, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13983)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13983), _u13985), c_Com_Ocom_OWhile(_u13986, _u13987)), c_Hoare__Mirabelle_Opeek__and(_u13983, _u13985, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate, c_fNot), _u13986)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13983), tc_HOL_Obool)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_hoare__derivs_OIf ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_hoare__derivs_OIf-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u13988, _u13989, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13988)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13988), c_Hoare__Mirabelle_Opeek__and(_u13988, _u13990, _u13991)), _u13992), _u13993)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13988), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u13988, _u13989, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13988)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13988), c_Hoare__Mirabelle_Opeek__and(_u13988, _u13990, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate, c_fNot), _u13991))), _u13994), _u13993)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13988), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u13988, _u13989, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13988)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13988), _u13990), c_Com_Ocom_OCond(_u13991, _u13992, _u13994)), _u13993)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13988), tc_HOL_Obool)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Loop ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Loop-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u13995, _u13996, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13995)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13995), c_Hoare__Mirabelle_Opeek__and(_u13995, _u13997, _u13998)), _u13999), _u13997)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13995), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u13995, _u13996, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13995)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13995), _u13997), c_Com_Ocom_OWhile(_u13998, _u13999)), c_Hoare__Mirabelle_Opeek__and(_u13995, _u13997, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate, c_fNot), _u13998)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13995), tc_HOL_Obool)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_peek__and__def ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_peek__and__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u14005, _u14007, _u14009), _u14011), _u14013)) | hBOOL(hAPP(hAPP(_u14007, _u14011), _u14013)) )).
% 20.36/20.57 cnf(fact_peek__and__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u14005, _u14007, _u14009), _u14011), _u14013)) | hBOOL(hAPP(_u14009, _u14013)) )).
% 20.36/20.57 cnf(fact_peek__and__def-3, axiom, ( ~hBOOL(hAPP(hAPP(_u14008, _u14012), _u14014)) | ~hBOOL(hAPP(_u14010, _u14014)) | hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u14006, _u14008, _u14010), _u14012), _u14014)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_setsum__reindex__nonzero ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_setsum__reindex__nonzero-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u14017) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14018), _u14019)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14022, _u14017), _u14021), hAPP(c_Set_Oimage(_u14018, _u14022, _u14020), _u14019)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14018, _u14017), hAPP(c_Fun_Ocomp(_u14022, _u14017, _u14018, _u14021), _u14020)), _u14019)) | hBOOL(hAPP(hAPP(c_member(_u14018), skolem348(_u14022, _u14021, _u14020, _u14019, _u14018, _u14017)), _u14019)) )).
% 20.36/20.57 cnf(fact_setsum__reindex__nonzero-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u14017) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14018), _u14019)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14022, _u14017), _u14021), hAPP(c_Set_Oimage(_u14018, _u14022, _u14020), _u14019)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14018, _u14017), hAPP(c_Fun_Ocomp(_u14022, _u14017, _u14018, _u14021), _u14020)), _u14019)) | hBOOL(hAPP(hAPP(c_member(_u14018), skolem349(_u14022, _u14021, _u14020, _u14019, _u14018, _u14017)), _u14019)) )).
% 20.36/20.57 cnf(fact_setsum__reindex__nonzero-3, axiom, ( ~class_Groups_Ocomm__monoid__add(_u14017) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14018), _u14019)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14022, _u14017), _u14021), hAPP(c_Set_Oimage(_u14018, _u14022, _u14020), _u14019)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14018, _u14017), hAPP(c_Fun_Ocomp(_u14022, _u14017, _u14018, _u14021), _u14020)), _u14019)) | ( skolem348(_u14022, _u14021, _u14020, _u14019, _u14018, _u14017) != skolem349(_u14022, _u14021, _u14020, _u14019, _u14018, _u14017)) )).
% 20.36/20.57 cnf(fact_setsum__reindex__nonzero-4, axiom, ( ~class_Groups_Ocomm__monoid__add(_u14017) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14018), _u14019)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14022, _u14017), _u14021), hAPP(c_Set_Oimage(_u14018, _u14022, _u14020), _u14019)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14018, _u14017), hAPP(c_Fun_Ocomp(_u14022, _u14017, _u14018, _u14021), _u14020)), _u14019)) | ( hAPP(_u14020, skolem348(_u14022, _u14021, _u14020, _u14019, _u14018, _u14017)) = hAPP(_u14020, skolem349(_u14022, _u14021, _u14020, _u14019, _u14018, _u14017))) )).
% 20.36/20.57 cnf(fact_setsum__reindex__nonzero-5, axiom, ( ~class_Groups_Ocomm__monoid__add(_u14017) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14018), _u14019)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14022, _u14017), _u14021), hAPP(c_Set_Oimage(_u14018, _u14022, _u14020), _u14019)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14018, _u14017), hAPP(c_Fun_Ocomp(_u14022, _u14017, _u14018, _u14021), _u14020)), _u14019)) | ( hAPP(_u14021, hAPP(_u14020, skolem348(_u14022, _u14021, _u14020, _u14019, _u14018, _u14017))) != c_Groups_Ozero__class_Ozero(_u14017)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_folding__idem_Ounion__idem ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_folding__idem_Ounion__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u14023, _u14024, _u14025, _u14026) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14023), _u14027)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14023), _u14028)) | ( hAPP(_u14026, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14023, tc_HOL_Obool)), _u14027), _u14028)) = hAPP(c_Fun_Ocomp(_u14024, _u14024, _u14024, hAPP(_u14026, _u14027)), hAPP(_u14026, _u14028))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_folding__idem_Osubset__comp__idem ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_folding__idem_Osubset__comp__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u14029, _u14030, _u14031, _u14032) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14029), _u14033)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14029, tc_HOL_Obool)), _u14034), _u14033)) | ( hAPP(c_Fun_Ocomp(_u14030, _u14030, _u14030, hAPP(_u14032, _u14033)), hAPP(_u14032, _u14034)) = hAPP(_u14032, _u14033)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_folding__idem_Oidem__left__comp ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_folding__idem_Oidem__left__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u14036, _u14036, _u14039, hAPP(_u14037, _u14040)), hAPP(c_Fun_Ocomp(_u14036, _u14036, _u14039, hAPP(_u14037, _u14040)), _u14041)) = hAPP(c_Fun_Ocomp(_u14036, _u14036, _u14039, hAPP(_u14037, _u14040)), _u14041)) | ~c_Finite__Set_Ofolding__idem(_u14035, _u14036, _u14037, _u14038) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_folding__idem_Oidem__comp ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_folding__idem_Oidem__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u14043, _u14043, _u14043, hAPP(_u14044, _u14046)), hAPP(_u14044, _u14046)) = hAPP(_u14044, _u14046)) | ~c_Finite__Set_Ofolding__idem(_u14042, _u14043, _u14044, _u14045) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_folding__idem_Oin__comp__idem ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_folding__idem_Oin__comp__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u14047, _u14048, _u14049, _u14050) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14047), _u14051)) | ~hBOOL(hAPP(hAPP(c_member(_u14047), _u14052), _u14051)) | ( hAPP(c_Fun_Ocomp(_u14048, _u14048, _u14048, hAPP(_u14050, _u14051)), hAPP(_u14049, _u14052)) = hAPP(_u14050, _u14051)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_folding__idem_Oinsert__idem ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_folding__idem_Oinsert__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u14053, _u14054, _u14055, _u14056) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14053), _u14057)) | ( hAPP(_u14056, hAPP(hAPP(c_Set_Oinsert(_u14053), _u14058), _u14057)) = hAPP(c_Fun_Ocomp(_u14054, _u14054, _u14054, hAPP(_u14056, _u14057)), hAPP(_u14055, _u14058))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_strong__setprod__reindex__cong ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_strong__setprod__reindex__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u14060) | ~c_Fun_Oinj__on(_u14061, _u14062, _u14063, _u14064) | ( _u14065 != hAPP(c_Set_Oimage(_u14061, _u14062, _u14063), _u14064)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14062, _u14060), _u14067), _u14065) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14061, _u14060), _u14066), _u14064)) | hBOOL(hAPP(hAPP(c_member(_u14061), skolem350(_u14067, _u14066, _u14065, _u14064, _u14063, _u14062, _u14061, _u14060)), _u14064)) )).
% 20.36/20.57 cnf(fact_strong__setprod__reindex__cong-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u14060) | ~c_Fun_Oinj__on(_u14061, _u14062, _u14063, _u14064) | ( _u14065 != hAPP(c_Set_Oimage(_u14061, _u14062, _u14063), _u14064)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14062, _u14060), _u14067), _u14065) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14061, _u14060), _u14066), _u14064)) | ( hAPP(_u14066, skolem350(_u14067, _u14066, _u14065, _u14064, _u14063, _u14062, _u14061, _u14060)) != hAPP(hAPP(c_Fun_Ocomp(_u14062, _u14060, _u14061, _u14067), _u14063), skolem350(_u14067, _u14066, _u14065, _u14064, _u14063, _u14062, _u14061, _u14060))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Eps__split ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Eps__split-1, axiom, ( ( c_Hilbert__Choice_OEps(tc_prod(_u14068, _u14069), hAPP(c_Product__Type_Oprod_Oprod__case(_u14068, _u14069, tc_HOL_Obool), _u14070)) = c_Hilbert__Choice_OEps(tc_prod(_u14068, _u14069), hAPP(hAPP(c_COMBS(tc_prod(_u14068, _u14069), _u14069, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u14068, tc_fun(_u14069, tc_HOL_Obool), tc_prod(_u14068, _u14069)), _u14070), c_Product__Type_Ofst(_u14068, _u14069))), c_Product__Type_Osnd(_u14068, _u14069)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_wfI__pf ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_wfI__pf-1, axiom, ( c_Wellfounded_Owf(_u14072, _u14073) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14072, tc_HOL_Obool)), skolem351(_u14073, _u14072)), hAPP(c_Relation_OImage(_u14072, _u14072, _u14073), skolem351(_u14073, _u14072)))) )).
% 20.36/20.57 cnf(fact_wfI__pf-2, axiom, ( c_Wellfounded_Owf(_u14072, _u14073) | ( skolem351(_u14073, _u14072) != c_Orderings_Obot__class_Obot(tc_fun(_u14072, tc_HOL_Obool))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_exE__some ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_exE__some-1, axiom, ( ~hBOOL(hAPP(_u14075, _u14074)) | ( _u14076 != c_Hilbert__Choice_OEps(_u14077, _u14075)) | hBOOL(hAPP(_u14075, _u14076)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_tfl__some ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_tfl__some-1, axiom, ( ~hBOOL(hAPP(_u14079, _u14078)) | hBOOL(hAPP(_u14079, c_Hilbert__Choice_OEps(_u14080, _u14079))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_someI ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_someI-1, axiom, ( ~hBOOL(hAPP(_u14081, _u14082)) | hBOOL(hAPP(_u14081, c_Hilbert__Choice_OEps(_u14083, _u14081))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_some__sym__eq__trivial ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_some__sym__eq__trivial-1, axiom, ( ( c_Hilbert__Choice_OEps(_u14084, hAPP(c_fequal, _u14085)) = _u14085) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_some__eq__trivial ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_some__eq__trivial-1, axiom, ( ( c_Hilbert__Choice_OEps(_u14086, hAPP(hAPP(c_COMBC(_u14086, _u14086, tc_HOL_Obool), c_fequal), _u14087)) = _u14087) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_some__eq__ex ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_some__eq__ex-1, axiom, ( ~hBOOL(hAPP(_u14092, c_Hilbert__Choice_OEps(_u14094, _u14092))) | hBOOL(hAPP(_u14092, skolem352(_u14094, _u14092))) )).
% 20.36/20.57 cnf(fact_some__eq__ex-2, axiom, ( ~hBOOL(hAPP(_u14093, _u14089)) | hBOOL(hAPP(_u14093, c_Hilbert__Choice_OEps(_u14095, _u14093))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_someI__ex ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_someI__ex-1, axiom, ( ~hBOOL(hAPP(_u14097, _u14096)) | hBOOL(hAPP(_u14097, c_Hilbert__Choice_OEps(_u14098, _u14097))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_split__paired__Eps ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_split__paired__Eps-1, axiom, ( ( c_Hilbert__Choice_OEps(tc_prod(_u14099, _u14100), _u14101) = c_Hilbert__Choice_OEps(tc_prod(_u14099, _u14100), hAPP(c_Product__Type_Oprod_Oprod__case(_u14099, _u14100, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u14100, tc_prod(_u14099, _u14100)), tc_fun(_u14100, tc_HOL_Obool), _u14099), hAPP(c_COMBB(tc_prod(_u14099, _u14100), tc_HOL_Obool, _u14100), _u14101)), c_Product__Type_OPair(_u14099, _u14100))))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Eps__split__eq ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Eps__split__eq-1, axiom, ( ( c_Hilbert__Choice_OEps(tc_prod(_u14102, _u14103), hAPP(c_Product__Type_Oprod_Oprod__case(_u14102, _u14103, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14102, tc_fun(_u14103, tc_HOL_Obool), tc_fun(_u14103, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14103, tc_HOL_Obool), tc_fun(_u14103, tc_HOL_Obool)), _u14102), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14103)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14102), c_fconj), hAPP(c_fequal, _u14104)))), hAPP(c_fequal, _u14105)))) = hAPP(hAPP(c_Product__Type_OPair(_u14102, _u14103), _u14104), _u14105)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Sigma__mono ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Sigma__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14107, tc_HOL_Obool)), _u14108), _u14109)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14107, _u14110), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u14107, _u14110), _u14108), _u14111)), hAPP(hAPP(c_Product__Type_OSigma(_u14107, _u14110), _u14109), _u14112))) | hBOOL(hAPP(hAPP(c_member(_u14107), skolem353(_u14112, _u14111, _u14110, _u14109, _u14108, _u14107)), _u14108)) )).
% 20.36/20.57 cnf(fact_Sigma__mono-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14107, tc_HOL_Obool)), _u14108), _u14109)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14107, _u14110), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u14107, _u14110), _u14108), _u14111)), hAPP(hAPP(c_Product__Type_OSigma(_u14107, _u14110), _u14109), _u14112))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14110, tc_HOL_Obool)), hAPP(_u14111, skolem353(_u14112, _u14111, _u14110, _u14109, _u14108, _u14107))), hAPP(_u14112, skolem353(_u14112, _u14111, _u14110, _u14109, _u14108, _u14107)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_acc_OaccI ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_acc_OaccI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u14114), _u14115), c_Wellfounded_Oacc(_u14114, _u14116))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14114, _u14114)), hAPP(hAPP(c_Product__Type_OPair(_u14114, _u14114), skolem354(_u14116, _u14115, _u14114)), _u14115)), _u14116)) )).
% 20.36/20.57 cnf(fact_acc_OaccI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u14114), _u14115), c_Wellfounded_Oacc(_u14114, _u14116))) | ~hBOOL(hAPP(hAPP(c_member(_u14114), skolem354(_u14116, _u14115, _u14114)), c_Wellfounded_Oacc(_u14114, _u14116))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_not__acc__down ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_not__acc__down-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u14118), _u14119), c_Wellfounded_Oacc(_u14118, _u14120))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14118, _u14118)), hAPP(hAPP(c_Product__Type_OPair(_u14118, _u14118), skolem355(_u14120, _u14119, _u14118)), _u14119)), _u14120)) )).
% 20.36/20.57 cnf(fact_not__acc__down-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u14118), _u14119), c_Wellfounded_Oacc(_u14118, _u14120))) | ~hBOOL(hAPP(hAPP(c_member(_u14118), skolem355(_u14120, _u14119, _u14118)), c_Wellfounded_Oacc(_u14118, _u14120))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_max__ext_Osimps ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_max__ext_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14129, tc_HOL_Obool), tc_fun(_u14129, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14129, tc_HOL_Obool), tc_fun(_u14129, tc_HOL_Obool)), _u14131), _u14133)), c_Wellfounded_Omax__ext(_u14129, _u14135))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14129), _u14131)) )).
% 20.36/20.57 cnf(fact_max__ext_Osimps-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14129, tc_HOL_Obool), tc_fun(_u14129, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14129, tc_HOL_Obool), tc_fun(_u14129, tc_HOL_Obool)), _u14131), _u14133)), c_Wellfounded_Omax__ext(_u14129, _u14135))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14129), _u14133)) )).
% 20.36/20.57 cnf(fact_max__ext_Osimps-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14129, tc_HOL_Obool), tc_fun(_u14129, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14129, tc_HOL_Obool), tc_fun(_u14129, tc_HOL_Obool)), _u14131), _u14133)), c_Wellfounded_Omax__ext(_u14129, _u14135))) | ( _u14133 != c_Orderings_Obot__class_Obot(tc_fun(_u14129, tc_HOL_Obool))) )).
% 20.36/20.57 cnf(fact_max__ext_Osimps-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14129, tc_HOL_Obool), tc_fun(_u14129, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14129, tc_HOL_Obool), tc_fun(_u14129, tc_HOL_Obool)), _u14131), _u14133)), c_Wellfounded_Omax__ext(_u14129, _u14135))) | ~hBOOL(hAPP(hAPP(c_member(_u14129), _u14122), _u14131)) | hBOOL(hAPP(hAPP(c_member(_u14129), skolem356(_u14135, _u14133, _u14131, _u14129, _u14122)), _u14133)) )).
% 20.36/20.57 cnf(fact_max__ext_Osimps-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14129, tc_HOL_Obool), tc_fun(_u14129, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14129, tc_HOL_Obool), tc_fun(_u14129, tc_HOL_Obool)), _u14131), _u14133)), c_Wellfounded_Omax__ext(_u14129, _u14135))) | ~hBOOL(hAPP(hAPP(c_member(_u14129), _u14122), _u14131)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14129, _u14129)), hAPP(hAPP(c_Product__Type_OPair(_u14129, _u14129), _u14122), skolem356(_u14135, _u14133, _u14131, _u14129, _u14122))), _u14135)) )).
% 20.36/20.57 cnf(fact_max__ext_Osimps-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14130, tc_HOL_Obool), tc_fun(_u14130, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14130, tc_HOL_Obool), tc_fun(_u14130, tc_HOL_Obool)), _u14132), _u14134)), c_Wellfounded_Omax__ext(_u14130, _u14136))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14130), _u14132)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14130), _u14134)) | ( _u14134 = c_Orderings_Obot__class_Obot(tc_fun(_u14130, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u14130), skolem357(_u14136, _u14134, _u14132, _u14130)), _u14132)) )).
% 20.36/20.57 cnf(fact_max__ext_Osimps-7, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14130, tc_HOL_Obool), tc_fun(_u14130, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14130, tc_HOL_Obool), tc_fun(_u14130, tc_HOL_Obool)), _u14132), _u14134)), c_Wellfounded_Omax__ext(_u14130, _u14136))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14130), _u14132)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14130), _u14134)) | ( _u14134 = c_Orderings_Obot__class_Obot(tc_fun(_u14130, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u14130), _u14123), _u14134)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14130, _u14130)), hAPP(hAPP(c_Product__Type_OPair(_u14130, _u14130), skolem357(_u14136, _u14134, _u14132, _u14130)), _u14123)), _u14136)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_min__max_Ofold__sup__le__sup ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_min__max_Ofold__sup__le__sup-1, axiom, ( ~class_Orderings_Olinorder(_u14138) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14138), _u14139)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14138), hAPP(hAPP(c_Finite__Set_Ofold(_u14138, _u14138, c_Orderings_Oord__class_Omax(_u14138)), _u14141), _u14139)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u14138), _u14140), _u14141))) | hBOOL(hAPP(hAPP(c_member(_u14138), skolem358(_u14141, _u14140, _u14139, _u14138)), _u14139)) )).
% 20.36/20.57 cnf(fact_min__max_Ofold__sup__le__sup-2, axiom, ( ~class_Orderings_Olinorder(_u14138) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14138), _u14139)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14138), hAPP(hAPP(c_Finite__Set_Ofold(_u14138, _u14138, c_Orderings_Oord__class_Omax(_u14138)), _u14141), _u14139)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u14138), _u14140), _u14141))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14138), skolem358(_u14141, _u14140, _u14139, _u14138)), _u14140)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Max__eqI ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Max__eqI-1, axiom, ( ~class_Orderings_Olinorder(_u14143) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14143), _u14144)) | ~hBOOL(hAPP(hAPP(c_member(_u14143), _u14145), _u14144)) | ( c_Big__Operators_Olinorder__class_OMax(_u14143, _u14144) = _u14145) | hBOOL(hAPP(hAPP(c_member(_u14143), skolem359(_u14145, _u14144, _u14143)), _u14144)) )).
% 20.36/20.57 cnf(fact_Max__eqI-2, axiom, ( ~class_Orderings_Olinorder(_u14143) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14143), _u14144)) | ~hBOOL(hAPP(hAPP(c_member(_u14143), _u14145), _u14144)) | ( c_Big__Operators_Olinorder__class_OMax(_u14143, _u14144) = _u14145) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14143), skolem359(_u14145, _u14144, _u14143)), _u14145)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_wf__no__infinite__down__chainE ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_wf__no__infinite__down__chainE-1, axiom, ( ~c_Wellfounded_Owf(_u14147, _u14148) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14147, _u14147)), hAPP(hAPP(c_Product__Type_OPair(_u14147, _u14147), hAPP(_u14149, hAPP(c_Nat_OSuc, skolem360(_u14149, _u14148, _u14147)))), hAPP(_u14149, skolem360(_u14149, _u14148, _u14147)))), _u14148)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_iterate_Osimps ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_iterate_Osimps-1, axiom, ( ( _u14155 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u14157, _u14159, _u14155, _u14161), _u14163) = hAPP(c_Product__Type_OPair(_u14157, _u14159), _u14163)) )).
% 20.36/20.57 cnf(fact_iterate_Osimps-2, axiom, ( ( _u14156 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u14158, _u14160, _u14156, _u14162), _u14164) = hAPP(hAPP(c_Product__Type_Oscomp(_u14160, _u14158, _u14160, tc_prod(_u14158, _u14160)), hAPP(_u14162, _u14164)), c_Random_Oiterate(_u14158, _u14160, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u14156), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u14162))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_setsum__reindex__cong ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_setsum__reindex__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u14166) | ~c_Fun_Oinj__on(_u14167, _u14168, _u14169, _u14170) | ( _u14171 != hAPP(c_Set_Oimage(_u14167, _u14168, _u14169), _u14170)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14168, _u14166), _u14173), _u14171) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14167, _u14166), _u14172), _u14170)) | hBOOL(hAPP(hAPP(c_member(_u14167), skolem361(_u14173, _u14172, _u14171, _u14170, _u14169, _u14168, _u14167, _u14166)), _u14170)) )).
% 20.36/20.57 cnf(fact_setsum__reindex__cong-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u14166) | ~c_Fun_Oinj__on(_u14167, _u14168, _u14169, _u14170) | ( _u14171 != hAPP(c_Set_Oimage(_u14167, _u14168, _u14169), _u14170)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14168, _u14166), _u14173), _u14171) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14167, _u14166), _u14172), _u14170)) | ( hAPP(_u14172, skolem361(_u14173, _u14172, _u14171, _u14170, _u14169, _u14168, _u14167, _u14166)) != hAPP(_u14173, hAPP(_u14169, skolem361(_u14173, _u14172, _u14171, _u14170, _u14169, _u14168, _u14167, _u14166)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Pair__scomp ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Pair__scomp-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u14174, _u14175, _u14174, _u14176), hAPP(c_Product__Type_OPair(_u14175, _u14174), _u14177)), _u14178) = hAPP(_u14178, _u14177)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_scomp__scomp ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_scomp__scomp-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u14179, _u14180, _u14181, _u14182), hAPP(hAPP(c_Product__Type_Oscomp(_u14179, _u14183, _u14184, tc_prod(_u14180, _u14181)), _u14185), _u14186)), _u14187) = hAPP(hAPP(c_Product__Type_Oscomp(_u14179, _u14183, _u14184, _u14182), _u14185), hAPP(hAPP(c_COMBC(_u14183, tc_fun(_u14180, tc_fun(_u14181, _u14182)), tc_fun(_u14184, _u14182)), hAPP(hAPP(c_COMBB(tc_fun(_u14184, tc_prod(_u14180, _u14181)), tc_fun(tc_fun(_u14180, tc_fun(_u14181, _u14182)), tc_fun(_u14184, _u14182)), _u14183), c_Product__Type_Oscomp(_u14184, _u14180, _u14181, _u14182)), _u14186)), _u14187))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_scomp__Pair ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_scomp__Pair-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u14188, _u14189, _u14190, tc_prod(_u14189, _u14190)), _u14191), c_Product__Type_OPair(_u14189, _u14190)) = _u14191) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_scomp__apply ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_scomp__apply-1, axiom, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u14192, _u14193, _u14194, _u14195), _u14196), _u14197), _u14198) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14193, _u14194, _u14195), _u14197), hAPP(_u14196, _u14198))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_scomp__def ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_scomp__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u14199, _u14200, _u14201, _u14202), _u14203), _u14204), _u14205) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14200, _u14201, _u14202), _u14204), hAPP(_u14203, _u14205))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_scomp__unfold ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_scomp__unfold-1, axiom, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u14206, _u14207, _u14208, _u14209), _u14210), _u14211), _u14212) = hAPP(hAPP(_u14211, hAPP(c_Product__Type_Ofst(_u14207, _u14208), hAPP(_u14210, _u14212))), hAPP(c_Product__Type_Osnd(_u14207, _u14208), hAPP(_u14210, _u14212)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_setsum__ivl__cong ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_setsum__ivl__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u14214) | ~class_Orderings_Oord(_u14215) | ( _u14216 != _u14217) | ( _u14218 != _u14219) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14215, _u14214), _u14220), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u14215, _u14216), _u14218)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14215, _u14214), _u14221), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u14215, _u14217), _u14219))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14215), _u14217), skolem362(_u14221, _u14220, _u14219, _u14218, _u14217, _u14216, _u14215, _u14214))) )).
% 20.36/20.57 cnf(fact_setsum__ivl__cong-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u14214) | ~class_Orderings_Oord(_u14215) | ( _u14216 != _u14217) | ( _u14218 != _u14219) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14215, _u14214), _u14220), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u14215, _u14216), _u14218)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14215, _u14214), _u14221), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u14215, _u14217), _u14219))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14215), skolem362(_u14221, _u14220, _u14219, _u14218, _u14217, _u14216, _u14215, _u14214)), _u14219)) )).
% 20.36/20.57 cnf(fact_setsum__ivl__cong-3, axiom, ( ~class_Groups_Ocomm__monoid__add(_u14214) | ~class_Orderings_Oord(_u14215) | ( _u14216 != _u14217) | ( _u14218 != _u14219) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14215, _u14214), _u14220), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u14215, _u14216), _u14218)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14215, _u14214), _u14221), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u14215, _u14217), _u14219))) | ( hAPP(_u14220, skolem362(_u14221, _u14220, _u14219, _u14218, _u14217, _u14216, _u14215, _u14214)) != hAPP(_u14221, skolem362(_u14221, _u14220, _u14219, _u14218, _u14217, _u14216, _u14215, _u14214))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_less__eq ( axiom ) converted to clauses:
% 20.36/20.57 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), _u14224), _u14226)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14224), _u14226)) )).
% 20.36/20.57 cnf(fact_less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14225), _u14227)) | 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), _u14225), _u14227)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_wf__trancl ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_wf__trancl-1, axiom, ( ~c_Wellfounded_Owf(_u14228, _u14229) | c_Wellfounded_Owf(_u14228, c_Transitive__Closure_Otrancl(_u14228, _u14229)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_less__than__def ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_less__than__def-1, axiom, ( ( c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_acyclic__def ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_acyclic__def-1, axiom, ( ~c_Wellfounded_Oacyclic(_u14234, _u14236) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14234, _u14234)), hAPP(hAPP(c_Product__Type_OPair(_u14234, _u14234), _u14230), _u14230)), c_Transitive__Closure_Otrancl(_u14234, _u14236))) )).
% 20.36/20.57 cnf(fact_acyclic__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14235, _u14235)), hAPP(hAPP(c_Product__Type_OPair(_u14235, _u14235), skolem363(_u14237, _u14235)), skolem363(_u14237, _u14235))), c_Transitive__Closure_Otrancl(_u14235, _u14237))) | c_Wellfounded_Oacyclic(_u14235, _u14237) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_trancl_Or__into__trancl ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_trancl_Or__into__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14238, _u14238)), hAPP(hAPP(c_Product__Type_OPair(_u14238, _u14238), _u14239), _u14240)), _u14241)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14238, _u14238)), hAPP(hAPP(c_Product__Type_OPair(_u14238, _u14238), _u14239), _u14240)), c_Transitive__Closure_Otrancl(_u14238, _u14241))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_trancl__subset__Field2 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_trancl__subset__Field2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14242, _u14242), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14242, _u14243)), hAPP(hAPP(c_Product__Type_OSigma(_u14242, _u14242), hAPP(c_Relation_OField(_u14242), _u14243)), hAPP(c_COMBK(tc_fun(_u14242, tc_HOL_Obool), _u14242), hAPP(c_Relation_OField(_u14242), _u14243))))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_r__into__trancl_H ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_r__into__trancl_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14244, _u14244)), _u14245), _u14246)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14244, _u14244)), _u14245), c_Transitive__Closure_Otrancl(_u14244, _u14246))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_trancl__empty ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_trancl__empty-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u14247, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14247, _u14247), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14247, _u14247), tc_HOL_Obool))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_trancl__domain ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_trancl__domain-1, axiom, ( ( hAPP(c_Relation_ODomain(_u14248, _u14248), c_Transitive__Closure_Otrancl(_u14248, _u14249)) = hAPP(c_Relation_ODomain(_u14248, _u14248), _u14249)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_trancl__range ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_trancl__range-1, axiom, ( ( hAPP(c_Relation_ORange(_u14250, _u14250), c_Transitive__Closure_Otrancl(_u14250, _u14251)) = hAPP(c_Relation_ORange(_u14250, _u14250), _u14251)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_finite__trancl ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_finite__trancl-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14254, _u14254)), c_Transitive__Closure_Otrancl(_u14254, _u14256))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14254, _u14254)), _u14256)) )).
% 20.36/20.57 cnf(fact_finite__trancl-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14255, _u14255)), _u14257)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14255, _u14255)), c_Transitive__Closure_Otrancl(_u14255, _u14257))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_r__r__into__trancl ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_r__r__into__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14258, _u14258)), hAPP(hAPP(c_Product__Type_OPair(_u14258, _u14258), _u14259), _u14260)), _u14261)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14258, _u14258)), hAPP(hAPP(c_Product__Type_OPair(_u14258, _u14258), _u14260), _u14262)), _u14261)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14258, _u14258)), hAPP(hAPP(c_Product__Type_OPair(_u14258, _u14258), _u14259), _u14262)), c_Transitive__Closure_Otrancl(_u14258, _u14261))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_trancl__into__trancl2 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_trancl__into__trancl2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14263, _u14263)), hAPP(hAPP(c_Product__Type_OPair(_u14263, _u14263), _u14264), _u14265)), _u14266)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14263, _u14263)), hAPP(hAPP(c_Product__Type_OPair(_u14263, _u14263), _u14265), _u14267)), c_Transitive__Closure_Otrancl(_u14263, _u14266))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14263, _u14263)), hAPP(hAPP(c_Product__Type_OPair(_u14263, _u14263), _u14264), _u14267)), c_Transitive__Closure_Otrancl(_u14263, _u14266))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Transitive__Closure_Otrancl__into__trancl ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Transitive__Closure_Otrancl__into__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14268, _u14268)), hAPP(hAPP(c_Product__Type_OPair(_u14268, _u14268), _u14269), _u14270)), c_Transitive__Closure_Otrancl(_u14268, _u14271))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14268, _u14268)), hAPP(hAPP(c_Product__Type_OPair(_u14268, _u14268), _u14270), _u14272)), _u14271)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14268, _u14268)), hAPP(hAPP(c_Product__Type_OPair(_u14268, _u14268), _u14269), _u14272)), c_Transitive__Closure_Otrancl(_u14268, _u14271))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_trancl__trans ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_trancl__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14273, _u14273)), hAPP(hAPP(c_Product__Type_OPair(_u14273, _u14273), _u14274), _u14275)), c_Transitive__Closure_Otrancl(_u14273, _u14276))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14273, _u14273)), hAPP(hAPP(c_Product__Type_OPair(_u14273, _u14273), _u14275), _u14277)), c_Transitive__Closure_Otrancl(_u14273, _u14276))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14273, _u14273)), hAPP(hAPP(c_Product__Type_OPair(_u14273, _u14273), _u14274), _u14277)), c_Transitive__Closure_Otrancl(_u14273, _u14276))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_trancl__mono ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_trancl__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14278, _u14278)), _u14279), c_Transitive__Closure_Otrancl(_u14278, _u14280))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14278, _u14278), tc_HOL_Obool)), _u14280), _u14281)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14278, _u14278)), _u14279), c_Transitive__Closure_Otrancl(_u14278, _u14281))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_trancl__unfold ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_trancl__unfold-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u14282, _u14283) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14282, _u14282), tc_HOL_Obool)), _u14283), hAPP(hAPP(c_Relation_Orel__comp(_u14282, _u14282, _u14282), c_Transitive__Closure_Otrancl(_u14282, _u14283)), _u14283))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_trancl__subset__Sigma ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_trancl__subset__Sigma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14284, _u14284), tc_HOL_Obool)), _u14285), hAPP(hAPP(c_Product__Type_OSigma(_u14284, _u14284), _u14286), hAPP(c_COMBK(tc_fun(_u14284, tc_HOL_Obool), _u14284), _u14286)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14284, _u14284), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14284, _u14285)), hAPP(hAPP(c_Product__Type_OSigma(_u14284, _u14284), _u14286), hAPP(c_COMBK(tc_fun(_u14284, tc_HOL_Obool), _u14284), _u14286)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_trancl__Int__subset ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_trancl__Int__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14287, _u14287), tc_HOL_Obool)), _u14288), _u14289)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14287, _u14287), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14287, _u14287, _u14287), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14287, _u14287), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14287, _u14288)), _u14289)), _u14288)), _u14289)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14287, _u14287), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14287, _u14288)), _u14289)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_trancl__insert ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_trancl__insert-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u14290, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14290, _u14290)), hAPP(hAPP(c_Product__Type_OPair(_u14290, _u14290), _u14291), _u14292)), _u14293)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14290, _u14290), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14290, _u14293)), hAPP(c_Set_OCollect(tc_prod(_u14290, _u14290)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14290, _u14290, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14290, tc_fun(_u14290, tc_HOL_Obool), tc_fun(_u14290, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14290, tc_HOL_Obool), tc_fun(_u14290, tc_HOL_Obool)), _u14290), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14290)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14290), c_fconj), hAPP(hAPP(c_COMBC(_u14290, tc_fun(tc_prod(_u14290, _u14290), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u14290, _u14290), tc_fun(tc_fun(tc_prod(_u14290, _u14290), tc_HOL_Obool), tc_HOL_Obool), _u14290), c_member(tc_prod(_u14290, _u14290))), hAPP(hAPP(c_COMBC(_u14290, _u14290, tc_prod(_u14290, _u14290)), c_Product__Type_OPair(_u14290, _u14290)), _u14291))), c_Transitive__Closure_Ortrancl(_u14290, _u14293))))), hAPP(hAPP(c_COMBC(_u14290, tc_fun(tc_prod(_u14290, _u14290), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u14290, _u14290), tc_fun(tc_fun(tc_prod(_u14290, _u14290), tc_HOL_Obool), tc_HOL_Obool), _u14290), c_member(tc_prod(_u14290, _u14290))), hAPP(c_Product__Type_OPair(_u14290, _u14290), _u14292))), c_Transitive__Closure_Ortrancl(_u14290, _u14293))))))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_reflcl__set__eq ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_reflcl__set__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14298, tc_fun(_u14298, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u14298, tc_fun(tc_prod(_u14298, _u14298), tc_HOL_Obool), tc_fun(_u14298, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14298, tc_fun(tc_fun(tc_prod(_u14298, _u14298), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14298, _u14298), tc_HOL_Obool), tc_fun(_u14298, tc_HOL_Obool)), _u14298), c_COMBC(_u14298, tc_fun(tc_prod(_u14298, _u14298), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14298, tc_prod(_u14298, _u14298)), tc_fun(_u14298, tc_fun(tc_fun(tc_prod(_u14298, _u14298), tc_HOL_Obool), tc_HOL_Obool)), _u14298), hAPP(c_COMBB(tc_prod(_u14298, _u14298), tc_fun(tc_fun(tc_prod(_u14298, _u14298), tc_HOL_Obool), tc_HOL_Obool), _u14298), c_member(tc_prod(_u14298, _u14298)))), c_Product__Type_OPair(_u14298, _u14298)))), _u14300)), c_fequal), _u14302), _u14304)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14298, _u14298)), hAPP(hAPP(c_Product__Type_OPair(_u14298, _u14298), _u14302), _u14304)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14298, _u14298), tc_HOL_Obool)), _u14300), c_Relation_OId(_u14298)))) )).
% 20.36/20.57 cnf(fact_reflcl__set__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14299, _u14299)), hAPP(hAPP(c_Product__Type_OPair(_u14299, _u14299), _u14303), _u14305)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14299, _u14299), tc_HOL_Obool)), _u14301), c_Relation_OId(_u14299)))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14299, tc_fun(_u14299, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u14299, tc_fun(tc_prod(_u14299, _u14299), tc_HOL_Obool), tc_fun(_u14299, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14299, tc_fun(tc_fun(tc_prod(_u14299, _u14299), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14299, _u14299), tc_HOL_Obool), tc_fun(_u14299, tc_HOL_Obool)), _u14299), c_COMBC(_u14299, tc_fun(tc_prod(_u14299, _u14299), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14299, tc_prod(_u14299, _u14299)), tc_fun(_u14299, tc_fun(tc_fun(tc_prod(_u14299, _u14299), tc_HOL_Obool), tc_HOL_Obool)), _u14299), hAPP(c_COMBB(tc_prod(_u14299, _u14299), tc_fun(tc_fun(tc_prod(_u14299, _u14299), tc_HOL_Obool), tc_HOL_Obool), _u14299), c_member(tc_prod(_u14299, _u14299)))), c_Product__Type_OPair(_u14299, _u14299)))), _u14301)), c_fequal), _u14303), _u14305)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_r__into__rtrancl ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_r__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14306, _u14306)), _u14307), _u14308)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14306, _u14306)), _u14307), c_Transitive__Closure_Ortrancl(_u14306, _u14308))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rtrancl_Ortrancl__refl ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rtrancl_Ortrancl__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14309, _u14309)), hAPP(hAPP(c_Product__Type_OPair(_u14309, _u14309), _u14310), _u14310)), c_Transitive__Closure_Ortrancl(_u14309, _u14311))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_IdI ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_IdI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14312, _u14312)), hAPP(hAPP(c_Product__Type_OPair(_u14312, _u14312), _u14313), _u14313)), c_Relation_OId(_u14312))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_trancl__into__rtrancl ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_trancl__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14314, _u14314)), hAPP(hAPP(c_Product__Type_OPair(_u14314, _u14314), _u14315), _u14316)), c_Transitive__Closure_Otrancl(_u14314, _u14317))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14314, _u14314)), hAPP(hAPP(c_Product__Type_OPair(_u14314, _u14314), _u14315), _u14316)), c_Transitive__Closure_Ortrancl(_u14314, _u14317))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_trancl__unfold__left ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_trancl__unfold__left-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u14318, _u14319) = hAPP(hAPP(c_Relation_Orel__comp(_u14318, _u14318, _u14318), _u14319), c_Transitive__Closure_Ortrancl(_u14318, _u14319))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_trancl__unfold__right ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_trancl__unfold__right-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u14320, _u14321) = hAPP(hAPP(c_Relation_Orel__comp(_u14320, _u14320, _u14320), c_Transitive__Closure_Ortrancl(_u14320, _u14321)), _u14321)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_reflcl__trancl ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_reflcl__trancl-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14322, _u14322), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14322, _u14323)), c_Relation_OId(_u14322)) = c_Transitive__Closure_Ortrancl(_u14322, _u14323)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_trancl__reflcl ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_trancl__reflcl-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u14324, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14324, _u14324), tc_HOL_Obool)), _u14325), c_Relation_OId(_u14324))) = c_Transitive__Closure_Ortrancl(_u14324, _u14325)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rtrancl__trancl__absorb ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rtrancl__trancl__absorb-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u14326, c_Transitive__Closure_Ortrancl(_u14326, _u14327)) = c_Transitive__Closure_Ortrancl(_u14326, _u14327)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_trancl__rtrancl__absorb ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_trancl__rtrancl__absorb-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14328, c_Transitive__Closure_Otrancl(_u14328, _u14329)) = c_Transitive__Closure_Ortrancl(_u14328, _u14329)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Domain__rtrancl ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Domain__rtrancl-1, axiom, ( ( hAPP(c_Relation_ODomain(_u14330, _u14330), c_Transitive__Closure_Ortrancl(_u14330, _u14331)) = c_Orderings_Otop__class_Otop(tc_fun(_u14330, tc_HOL_Obool))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Range__rtrancl ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Range__rtrancl-1, axiom, ( ( hAPP(c_Relation_ORange(_u14332, _u14332), c_Transitive__Closure_Ortrancl(_u14332, _u14333)) = c_Orderings_Otop__class_Otop(tc_fun(_u14332, tc_HOL_Obool))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_refl__rtrancl ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_refl__rtrancl-1, axiom, ( c_Relation_Orefl__on(_u14334, c_Orderings_Otop__class_Otop(tc_fun(_u14334, tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14334, _u14335)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_converse__rtrancl__into__rtrancl ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_converse__rtrancl__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14336, _u14336)), hAPP(hAPP(c_Product__Type_OPair(_u14336, _u14336), _u14337), _u14338)), _u14339)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14336, _u14336)), hAPP(hAPP(c_Product__Type_OPair(_u14336, _u14336), _u14338), _u14340)), c_Transitive__Closure_Ortrancl(_u14336, _u14339))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14336, _u14336)), hAPP(hAPP(c_Product__Type_OPair(_u14336, _u14336), _u14337), _u14340)), c_Transitive__Closure_Ortrancl(_u14336, _u14339))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rtrancl_Ortrancl__into__rtrancl ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rtrancl_Ortrancl__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14341, _u14341)), hAPP(hAPP(c_Product__Type_OPair(_u14341, _u14341), _u14342), _u14343)), c_Transitive__Closure_Ortrancl(_u14341, _u14344))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14341, _u14341)), hAPP(hAPP(c_Product__Type_OPair(_u14341, _u14341), _u14343), _u14345)), _u14344)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14341, _u14341)), hAPP(hAPP(c_Product__Type_OPair(_u14341, _u14341), _u14342), _u14345)), c_Transitive__Closure_Ortrancl(_u14341, _u14344))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rtrancl__trans ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rtrancl__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14346, _u14346)), hAPP(hAPP(c_Product__Type_OPair(_u14346, _u14346), _u14347), _u14348)), c_Transitive__Closure_Ortrancl(_u14346, _u14349))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14346, _u14346)), hAPP(hAPP(c_Product__Type_OPair(_u14346, _u14346), _u14348), _u14350)), c_Transitive__Closure_Ortrancl(_u14346, _u14349))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14346, _u14346)), hAPP(hAPP(c_Product__Type_OPair(_u14346, _u14346), _u14347), _u14350)), c_Transitive__Closure_Ortrancl(_u14346, _u14349))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rtrancl__idemp ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rtrancl__idemp-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14351, c_Transitive__Closure_Ortrancl(_u14351, _u14352)) = c_Transitive__Closure_Ortrancl(_u14351, _u14352)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rtrancl__r__diff__Id ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rtrancl__r__diff__Id-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14353, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14353, _u14353), tc_HOL_Obool)), _u14354), c_Relation_OId(_u14353))) = c_Transitive__Closure_Ortrancl(_u14353, _u14354)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_in__rtrancl__UnI ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_in__rtrancl__UnI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14355, _u14355)), _u14356), c_Transitive__Closure_Ortrancl(_u14355, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14355, _u14355), tc_HOL_Obool)), _u14357), _u14358)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14355, _u14355)), _u14356), c_Transitive__Closure_Ortrancl(_u14355, _u14357))) )).
% 20.36/20.57 cnf(fact_in__rtrancl__UnI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14355, _u14355)), _u14356), c_Transitive__Closure_Ortrancl(_u14355, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14355, _u14355), tc_HOL_Obool)), _u14357), _u14358)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14355, _u14355)), _u14356), c_Transitive__Closure_Ortrancl(_u14355, _u14358))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rtrancl__Un__subset ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rtrancl__Un__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14359, _u14359), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14359, _u14359), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14359, _u14360)), c_Transitive__Closure_Ortrancl(_u14359, _u14361))), c_Transitive__Closure_Ortrancl(_u14359, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14359, _u14359), tc_HOL_Obool)), _u14360), _u14361)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rtrancl__reflcl ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rtrancl__reflcl-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14362, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14362, _u14362), tc_HOL_Obool)), _u14363), c_Relation_OId(_u14362))) = c_Transitive__Closure_Ortrancl(_u14362, _u14363)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rtrancl__Un__rtrancl ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rtrancl__Un__rtrancl-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14364, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14364, _u14364), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14364, _u14365)), c_Transitive__Closure_Ortrancl(_u14364, _u14366))) = c_Transitive__Closure_Ortrancl(_u14364, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14364, _u14364), tc_HOL_Obool)), _u14365), _u14366))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rtrancl__reflcl__absorb ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rtrancl__reflcl__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14367, _u14367), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14367, _u14368)), c_Relation_OId(_u14367)) = c_Transitive__Closure_Ortrancl(_u14367, _u14368)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Image__closed__trancl ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Image__closed__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14369, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14369, _u14369, _u14370), _u14371)), _u14371)) | ( hAPP(c_Relation_OImage(_u14369, _u14369, c_Transitive__Closure_Ortrancl(_u14369, _u14370)), _u14371) = _u14371) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rtrancl__mono ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rtrancl__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14372, _u14372), tc_HOL_Obool)), _u14373), _u14374)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14372, _u14372), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14372, _u14373)), c_Transitive__Closure_Ortrancl(_u14372, _u14374))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rtrancl__subset ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rtrancl__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14375, _u14375), tc_HOL_Obool)), _u14376), _u14377)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14375, _u14375), tc_HOL_Obool)), _u14377), c_Transitive__Closure_Ortrancl(_u14375, _u14376))) | ( c_Transitive__Closure_Ortrancl(_u14375, _u14377) = c_Transitive__Closure_Ortrancl(_u14375, _u14376)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rtrancl__subset__rtrancl ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rtrancl__subset__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14378, _u14378), tc_HOL_Obool)), _u14379), c_Transitive__Closure_Ortrancl(_u14378, _u14380))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14378, _u14378), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14378, _u14379)), c_Transitive__Closure_Ortrancl(_u14378, _u14380))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rtrancl__idemp__self__comp ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rtrancl__idemp__self__comp-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14381, _u14381, _u14381), c_Transitive__Closure_Ortrancl(_u14381, _u14382)), c_Transitive__Closure_Ortrancl(_u14381, _u14382)) = c_Transitive__Closure_Ortrancl(_u14381, _u14382)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_r__comp__rtrancl__eq ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_r__comp__rtrancl__eq-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14383, _u14383, _u14383), _u14384), c_Transitive__Closure_Ortrancl(_u14383, _u14384)) = hAPP(hAPP(c_Relation_Orel__comp(_u14383, _u14383, _u14383), c_Transitive__Closure_Ortrancl(_u14383, _u14384)), _u14384)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rtrancl__unfold ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rtrancl__unfold-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14385, _u14386) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14385, _u14385), tc_HOL_Obool)), c_Relation_OId(_u14385)), hAPP(hAPP(c_Relation_Orel__comp(_u14385, _u14385, _u14385), c_Transitive__Closure_Ortrancl(_u14385, _u14386)), _u14386))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rtrancl__Int__subset ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rtrancl__Int__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14387, _u14387), tc_HOL_Obool)), c_Relation_OId(_u14387)), _u14388)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14387, _u14387), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14387, _u14387, _u14387), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14387, _u14387), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14387, _u14389)), _u14388)), _u14389)), _u14388)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14387, _u14387), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14387, _u14389)), _u14388)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rtrancl__empty ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rtrancl__empty-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14390, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14390, _u14390), tc_HOL_Obool))) = c_Relation_OId(_u14390)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_R__O__Id ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_R__O__Id-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14391, _u14392, _u14392), _u14393), c_Relation_OId(_u14392)) = _u14393) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Id__O__R ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Id__O__R-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14394, _u14394, _u14395), c_Relation_OId(_u14394)), _u14396) = _u14396) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Image__Id ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Image__Id-1, axiom, ( ( hAPP(c_Relation_OImage(_u14397, _u14397, c_Relation_OId(_u14397)), _u14398) = _u14398) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_pair__in__Id__conv ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_pair__in__Id__conv-1, axiom, ( ( _u14404 = _u14406) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14402, _u14402)), hAPP(hAPP(c_Product__Type_OPair(_u14402, _u14402), _u14404), _u14406)), c_Relation_OId(_u14402))) )).
% 20.36/20.57 cnf(fact_pair__in__Id__conv-2, axiom, ( ( _u14405 != _u14407) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14403, _u14403)), hAPP(hAPP(c_Product__Type_OPair(_u14403, _u14403), _u14405), _u14407)), c_Relation_OId(_u14403))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rtrancl__eq__or__trancl ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rtrancl__eq__or__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14412, _u14412)), hAPP(hAPP(c_Product__Type_OPair(_u14412, _u14412), _u14414), _u14416)), c_Transitive__Closure_Ortrancl(_u14412, _u14418))) | ( _u14414 = _u14416) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14412, _u14412)), hAPP(hAPP(c_Product__Type_OPair(_u14412, _u14412), _u14414), _u14416)), c_Transitive__Closure_Otrancl(_u14412, _u14418))) )).
% 20.36/20.57 cnf(fact_rtrancl__eq__or__trancl-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14413, _u14413)), hAPP(hAPP(c_Product__Type_OPair(_u14413, _u14413), _u14415), _u14417)), c_Transitive__Closure_Ortrancl(_u14413, _u14419))) | ( _u14415 != _u14417) )).
% 20.36/20.57 cnf(fact_rtrancl__eq__or__trancl-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14413, _u14413)), hAPP(hAPP(c_Product__Type_OPair(_u14413, _u14413), _u14415), _u14417)), c_Transitive__Closure_Ortrancl(_u14413, _u14419))) | ( _u14415 = _u14417) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14413, _u14413)), hAPP(hAPP(c_Product__Type_OPair(_u14413, _u14413), _u14415), _u14417)), c_Transitive__Closure_Otrancl(_u14413, _u14419))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rtrancl__into__trancl2 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rtrancl__into__trancl2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14420, _u14420)), hAPP(hAPP(c_Product__Type_OPair(_u14420, _u14420), _u14421), _u14422)), _u14423)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14420, _u14420)), hAPP(hAPP(c_Product__Type_OPair(_u14420, _u14420), _u14422), _u14424)), c_Transitive__Closure_Ortrancl(_u14420, _u14423))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14420, _u14420)), hAPP(hAPP(c_Product__Type_OPair(_u14420, _u14420), _u14421), _u14424)), c_Transitive__Closure_Otrancl(_u14420, _u14423))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rtranclD ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rtranclD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14425, _u14425)), hAPP(hAPP(c_Product__Type_OPair(_u14425, _u14425), _u14426), _u14427)), c_Transitive__Closure_Ortrancl(_u14425, _u14428))) | ( _u14426 = _u14427) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14425, _u14425)), hAPP(hAPP(c_Product__Type_OPair(_u14425, _u14425), _u14426), _u14427)), c_Transitive__Closure_Otrancl(_u14425, _u14428))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rtrancl__into__trancl1 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rtrancl__into__trancl1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14429, _u14429)), hAPP(hAPP(c_Product__Type_OPair(_u14429, _u14429), _u14430), _u14431)), c_Transitive__Closure_Ortrancl(_u14429, _u14432))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14429, _u14429)), hAPP(hAPP(c_Product__Type_OPair(_u14429, _u14429), _u14431), _u14433)), _u14432)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14429, _u14429)), hAPP(hAPP(c_Product__Type_OPair(_u14429, _u14429), _u14430), _u14433)), c_Transitive__Closure_Otrancl(_u14429, _u14432))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_trancl__rtrancl__trancl ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_trancl__rtrancl__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14434, _u14434)), hAPP(hAPP(c_Product__Type_OPair(_u14434, _u14434), _u14435), _u14436)), c_Transitive__Closure_Otrancl(_u14434, _u14437))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14434, _u14434)), hAPP(hAPP(c_Product__Type_OPair(_u14434, _u14434), _u14436), _u14438)), c_Transitive__Closure_Ortrancl(_u14434, _u14437))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14434, _u14434)), hAPP(hAPP(c_Product__Type_OPair(_u14434, _u14434), _u14435), _u14438)), c_Transitive__Closure_Otrancl(_u14434, _u14437))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rtrancl__trancl__trancl ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rtrancl__trancl__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14439, _u14439)), hAPP(hAPP(c_Product__Type_OPair(_u14439, _u14439), _u14440), _u14441)), c_Transitive__Closure_Ortrancl(_u14439, _u14442))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14439, _u14439)), hAPP(hAPP(c_Product__Type_OPair(_u14439, _u14439), _u14441), _u14443)), c_Transitive__Closure_Otrancl(_u14439, _u14442))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14439, _u14439)), hAPP(hAPP(c_Product__Type_OPair(_u14439, _u14439), _u14440), _u14443)), c_Transitive__Closure_Otrancl(_u14439, _u14442))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Domain__Id ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Domain__Id-1, axiom, ( ( hAPP(c_Relation_ODomain(_u14444, _u14444), c_Relation_OId(_u14444)) = c_Orderings_Otop__class_Otop(tc_fun(_u14444, tc_HOL_Obool))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Range__Id ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Range__Id-1, axiom, ( ( hAPP(c_Relation_ORange(_u14445, _u14445), c_Relation_OId(_u14445)) = c_Orderings_Otop__class_Otop(tc_fun(_u14445, tc_HOL_Obool))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_refl__Id ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_refl__Id-1, axiom, ( c_Relation_Orefl__on(_u14446, c_Orderings_Otop__class_Otop(tc_fun(_u14446, tc_HOL_Obool)), c_Relation_OId(_u14446)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_pair__leq__def ( axiom ) converted to clauses:
% 20.36/20.57 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)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Not__Domain__rtrancl ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Not__Domain__rtrancl-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u14447), _u14448), hAPP(c_Relation_ODomain(_u14447, _u14447), _u14449))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14447, _u14447)), hAPP(hAPP(c_Product__Type_OPair(_u14447, _u14447), _u14448), _u14450)), c_Transitive__Closure_Ortrancl(_u14447, _u14449))) | ( _u14448 = _u14450) )).
% 20.36/20.57 cnf(fact_Not__Domain__rtrancl-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u14447), _u14448), hAPP(c_Relation_ODomain(_u14447, _u14447), _u14449))) | ( _u14448 != _u14450) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14447, _u14447)), hAPP(hAPP(c_Product__Type_OPair(_u14447, _u14447), _u14448), _u14450)), c_Transitive__Closure_Ortrancl(_u14447, _u14449))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_acc__downwards__aux ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_acc__downwards__aux-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14451, _u14451)), hAPP(hAPP(c_Product__Type_OPair(_u14451, _u14451), _u14452), _u14453)), c_Transitive__Closure_Ortrancl(_u14451, _u14454))) | ~hBOOL(hAPP(hAPP(c_member(_u14451), _u14453), c_Wellfounded_Oacc(_u14451, _u14454))) | hBOOL(hAPP(hAPP(c_member(_u14451), _u14452), c_Wellfounded_Oacc(_u14451, _u14454))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_acc__downwards ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_acc__downwards-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14455), _u14456), c_Wellfounded_Oacc(_u14455, _u14457))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14455, _u14455)), hAPP(hAPP(c_Product__Type_OPair(_u14455, _u14455), _u14458), _u14456)), c_Transitive__Closure_Ortrancl(_u14455, _u14457))) | hBOOL(hAPP(hAPP(c_member(_u14455), _u14458), c_Wellfounded_Oacc(_u14455, _u14457))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_wf__insert ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_wf__insert-1, axiom, ( ~c_Wellfounded_Owf(_u14463, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14463, _u14463)), hAPP(hAPP(c_Product__Type_OPair(_u14463, _u14463), _u14465), _u14467)), _u14469)) | c_Wellfounded_Owf(_u14463, _u14469) )).
% 20.36/20.57 cnf(fact_wf__insert-2, axiom, ( ~c_Wellfounded_Owf(_u14463, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14463, _u14463)), hAPP(hAPP(c_Product__Type_OPair(_u14463, _u14463), _u14465), _u14467)), _u14469)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14463, _u14463)), hAPP(hAPP(c_Product__Type_OPair(_u14463, _u14463), _u14467), _u14465)), c_Transitive__Closure_Ortrancl(_u14463, _u14469))) )).
% 20.36/20.57 cnf(fact_wf__insert-3, axiom, ( ~c_Wellfounded_Owf(_u14464, _u14470) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14464, _u14464)), hAPP(hAPP(c_Product__Type_OPair(_u14464, _u14464), _u14468), _u14466)), c_Transitive__Closure_Ortrancl(_u14464, _u14470))) | c_Wellfounded_Owf(_u14464, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14464, _u14464)), hAPP(hAPP(c_Product__Type_OPair(_u14464, _u14464), _u14466), _u14468)), _u14470)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_acyclic__insert ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_acyclic__insert-1, axiom, ( ~c_Wellfounded_Oacyclic(_u14475, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14475, _u14475)), hAPP(hAPP(c_Product__Type_OPair(_u14475, _u14475), _u14477), _u14479)), _u14481)) | c_Wellfounded_Oacyclic(_u14475, _u14481) )).
% 20.36/20.57 cnf(fact_acyclic__insert-2, axiom, ( ~c_Wellfounded_Oacyclic(_u14475, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14475, _u14475)), hAPP(hAPP(c_Product__Type_OPair(_u14475, _u14475), _u14477), _u14479)), _u14481)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14475, _u14475)), hAPP(hAPP(c_Product__Type_OPair(_u14475, _u14475), _u14479), _u14477)), c_Transitive__Closure_Ortrancl(_u14475, _u14481))) )).
% 20.36/20.57 cnf(fact_acyclic__insert-3, axiom, ( ~c_Wellfounded_Oacyclic(_u14476, _u14482) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14476, _u14476)), hAPP(hAPP(c_Product__Type_OPair(_u14476, _u14476), _u14480), _u14478)), c_Transitive__Closure_Ortrancl(_u14476, _u14482))) | c_Wellfounded_Oacyclic(_u14476, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14476, _u14476)), hAPP(hAPP(c_Product__Type_OPair(_u14476, _u14476), _u14478), _u14480)), _u14482)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_refl__reflcl ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_refl__reflcl-1, axiom, ( c_Relation_Orefl__on(_u14483, c_Orderings_Otop__class_Otop(tc_fun(_u14483, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14483, _u14483), tc_HOL_Obool)), _u14484), c_Relation_OId(_u14483))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Id__def ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Id__def-1, axiom, ( ( c_Relation_OId(_u14485) = hAPP(c_Set_OCollect(tc_prod(_u14485, _u14485)), hAPP(hAPP(c_COMBB(tc_fun(_u14485, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u14485, _u14485)), c_HOL_OEx(_u14485)), hAPP(hAPP(c_COMBC(tc_prod(_u14485, _u14485), tc_fun(_u14485, tc_prod(_u14485, _u14485)), tc_fun(_u14485, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14485, _u14485), tc_HOL_Obool), tc_fun(tc_fun(_u14485, tc_prod(_u14485, _u14485)), tc_fun(_u14485, tc_HOL_Obool)), tc_prod(_u14485, _u14485)), c_COMBB(tc_prod(_u14485, _u14485), tc_HOL_Obool, _u14485)), c_fequal)), hAPP(hAPP(c_COMBS(_u14485, _u14485, tc_prod(_u14485, _u14485)), c_Product__Type_OPair(_u14485, _u14485)), c_COMBI(_u14485)))))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_irrefl__diff__Id ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_irrefl__diff__Id-1, axiom, ( c_Relation_Oirrefl(_u14486, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14486, _u14486), tc_HOL_Obool)), _u14487), c_Relation_OId(_u14486))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_pred__nat__trancl__eq__le ( axiom ) converted to clauses:
% 20.36/20.57 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), _u14490), _u14492)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14490), _u14492)) )).
% 20.36/20.57 cnf(fact_pred__nat__trancl__eq__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14491), _u14493)) | 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), _u14491), _u14493)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_trancl__subset__Sigma__aux ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_trancl__subset__Sigma__aux-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14494, _u14494)), hAPP(hAPP(c_Product__Type_OPair(_u14494, _u14494), _u14495), _u14496)), c_Transitive__Closure_Ortrancl(_u14494, _u14497))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14494, _u14494), tc_HOL_Obool)), _u14497), hAPP(hAPP(c_Product__Type_OSigma(_u14494, _u14494), _u14498), hAPP(c_COMBK(tc_fun(_u14494, tc_HOL_Obool), _u14494), _u14498)))) | ( _u14495 = _u14496) | hBOOL(hAPP(hAPP(c_member(_u14494), _u14495), _u14498)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_irrefl__tranclI ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_irrefl__tranclI-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14499, _u14499), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u14499, _u14499), _u14500)), c_Transitive__Closure_Ortrancl(_u14499, _u14500)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14499, _u14499), tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14499, _u14499)), hAPP(hAPP(c_Product__Type_OPair(_u14499, _u14499), _u14501), _u14501)), c_Transitive__Closure_Otrancl(_u14499, _u14500))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_sequence__trans ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_sequence__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14503, _u14503)), hAPP(hAPP(c_Product__Type_OPair(_u14503, _u14503), hAPP(_u14504, hAPP(c_Nat_OSuc, skolem364(_u14507, _u14506, _u14505, _u14504, _u14503)))), hAPP(_u14504, skolem364(_u14507, _u14506, _u14505, _u14504, _u14503)))), c_Transitive__Closure_Ortrancl(_u14503, _u14505))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14503, _u14503)), hAPP(hAPP(c_Product__Type_OPair(_u14503, _u14503), hAPP(_u14504, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14506), _u14507))), hAPP(_u14504, _u14506))), c_Transitive__Closure_Ortrancl(_u14503, _u14505))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rtrancl__converse ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rtrancl__converse-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14508, hAPP(c_Relation_Oconverse(_u14508, _u14508), _u14509)) = hAPP(c_Relation_Oconverse(_u14508, _u14508), c_Transitive__Closure_Ortrancl(_u14508, _u14509))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_converse__Id ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_converse__Id-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14510, _u14510), c_Relation_OId(_u14510)) = c_Relation_OId(_u14510)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_acyclic__converse ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_acyclic__converse-1, axiom, ( ~c_Wellfounded_Oacyclic(_u14513, hAPP(c_Relation_Oconverse(_u14513, _u14513), _u14515)) | c_Wellfounded_Oacyclic(_u14513, _u14515) )).
% 20.36/20.57 cnf(fact_acyclic__converse-2, axiom, ( ~c_Wellfounded_Oacyclic(_u14514, _u14516) | c_Wellfounded_Oacyclic(_u14514, hAPP(c_Relation_Oconverse(_u14514, _u14514), _u14516)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_refl__on__converse ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_refl__on__converse-1, axiom, ( ~c_Relation_Orefl__on(_u14520, _u14522, hAPP(c_Relation_Oconverse(_u14520, _u14520), _u14524)) | c_Relation_Orefl__on(_u14520, _u14522, _u14524) )).
% 20.36/20.57 cnf(fact_refl__on__converse-2, axiom, ( ~c_Relation_Orefl__on(_u14521, _u14523, _u14525) | c_Relation_Orefl__on(_u14521, _u14523, hAPP(c_Relation_Oconverse(_u14521, _u14521), _u14525)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_converse__Id__on ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_converse__Id__on-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14526, _u14526), c_Relation_OId__on(_u14526, _u14527)) = c_Relation_OId__on(_u14526, _u14527)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Field__converse ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Field__converse-1, axiom, ( ( hAPP(c_Relation_OField(_u14528), hAPP(c_Relation_Oconverse(_u14528, _u14528), _u14529)) = hAPP(c_Relation_OField(_u14528), _u14529)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_converse__converse ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_converse__converse-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14530, _u14531), hAPP(c_Relation_Oconverse(_u14531, _u14530), _u14532)) = _u14532) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_converse__inv__image ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_converse__inv__image-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14533, _u14533), hAPP(hAPP(c_Relation_Oinv__image(_u14534, _u14533), _u14535), _u14536)) = hAPP(hAPP(c_Relation_Oinv__image(_u14534, _u14533), hAPP(c_Relation_Oconverse(_u14534, _u14534), _u14535)), _u14536)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_finite__converse ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_finite__converse-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14540, _u14542)), hAPP(c_Relation_Oconverse(_u14542, _u14540), _u14544))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14542, _u14540)), _u14544)) )).
% 20.36/20.57 cnf(fact_finite__converse-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14543, _u14541)), _u14545)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14541, _u14543)), hAPP(c_Relation_Oconverse(_u14543, _u14541), _u14545))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_converse__Int ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_converse__Int-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14546, _u14547), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14546, _u14547), tc_HOL_Obool)), _u14548), _u14549)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14547, _u14546), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u14546, _u14547), _u14548)), hAPP(c_Relation_Oconverse(_u14546, _u14547), _u14549))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_converse__Un ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_converse__Un-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14550, _u14551), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14550, _u14551), tc_HOL_Obool)), _u14552), _u14553)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14551, _u14550), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u14550, _u14551), _u14552)), hAPP(c_Relation_Oconverse(_u14550, _u14551), _u14553))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_converse__rel__comp ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_converse__rel__comp-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14554, _u14555), hAPP(hAPP(c_Relation_Orel__comp(_u14554, _u14556, _u14555), _u14557), _u14558)) = hAPP(hAPP(c_Relation_Orel__comp(_u14555, _u14556, _u14554), hAPP(c_Relation_Oconverse(_u14556, _u14555), _u14558)), hAPP(c_Relation_Oconverse(_u14554, _u14556), _u14557))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_converseD ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_converseD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14559, _u14560)), hAPP(hAPP(c_Product__Type_OPair(_u14559, _u14560), _u14561), _u14562)), hAPP(c_Relation_Oconverse(_u14560, _u14559), _u14563))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14560, _u14559)), hAPP(hAPP(c_Product__Type_OPair(_u14560, _u14559), _u14562), _u14561)), _u14563)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_converseI ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_converseI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14564, _u14565)), hAPP(hAPP(c_Product__Type_OPair(_u14564, _u14565), _u14566), _u14567)), _u14568)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14565, _u14564)), hAPP(hAPP(c_Product__Type_OPair(_u14565, _u14564), _u14567), _u14566)), hAPP(c_Relation_Oconverse(_u14564, _u14565), _u14568))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_converse__iff ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_converse__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14574, _u14576)), hAPP(hAPP(c_Product__Type_OPair(_u14574, _u14576), _u14578), _u14580)), hAPP(c_Relation_Oconverse(_u14576, _u14574), _u14582))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14576, _u14574)), hAPP(hAPP(c_Product__Type_OPair(_u14576, _u14574), _u14580), _u14578)), _u14582)) )).
% 20.36/20.57 cnf(fact_converse__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14577, _u14575)), hAPP(hAPP(c_Product__Type_OPair(_u14577, _u14575), _u14581), _u14579)), _u14583)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14575, _u14577)), hAPP(hAPP(c_Product__Type_OPair(_u14575, _u14577), _u14579), _u14581)), hAPP(c_Relation_Oconverse(_u14577, _u14575), _u14583))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_converse__UNION ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_converse__UNION-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14584, _u14585), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14586, tc_fun(tc_prod(_u14584, _u14585), tc_HOL_Obool)), _u14587), _u14588)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14586, tc_fun(tc_prod(_u14585, _u14584), tc_HOL_Obool)), _u14587), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14584, _u14585), tc_HOL_Obool), tc_fun(tc_prod(_u14585, _u14584), tc_HOL_Obool), _u14586), c_Relation_Oconverse(_u14584, _u14585)), _u14588))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_converse__INTER ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_converse__INTER-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14589, _u14590), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14591, tc_fun(tc_prod(_u14589, _u14590), tc_HOL_Obool)), _u14592), _u14593)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14591, tc_fun(tc_prod(_u14590, _u14589), tc_HOL_Obool)), _u14592), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14589, _u14590), tc_HOL_Obool), tc_fun(tc_prod(_u14590, _u14589), tc_HOL_Obool), _u14591), c_Relation_Oconverse(_u14589, _u14590)), _u14593))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_trancl__converse ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_trancl__converse-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u14594, hAPP(c_Relation_Oconverse(_u14594, _u14594), _u14595)) = hAPP(c_Relation_Oconverse(_u14594, _u14594), c_Transitive__Closure_Otrancl(_u14594, _u14595))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_wf__converse__trancl ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_wf__converse__trancl-1, axiom, ( ~c_Wellfounded_Owf(_u14596, hAPP(c_Relation_Oconverse(_u14596, _u14596), _u14597)) | c_Wellfounded_Owf(_u14596, hAPP(c_Relation_Oconverse(_u14596, _u14596), c_Transitive__Closure_Otrancl(_u14596, _u14597))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_equiv__comp__eq ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_equiv__comp__eq-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u14598, _u14599, _u14600) | ( hAPP(hAPP(c_Relation_Orel__comp(_u14598, _u14598, _u14598), hAPP(c_Relation_Oconverse(_u14598, _u14598), _u14600)), _u14600) = _u14600) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Range__def ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Range__def-1, axiom, ( ( hAPP(c_Relation_ORange(_u14601, _u14602), _u14603) = hAPP(c_Relation_ODomain(_u14602, _u14601), hAPP(c_Relation_Oconverse(_u14601, _u14602), _u14603))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Domain__converse ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Domain__converse-1, axiom, ( ( hAPP(c_Relation_ODomain(_u14604, _u14605), hAPP(c_Relation_Oconverse(_u14605, _u14604), _u14606)) = hAPP(c_Relation_ORange(_u14605, _u14604), _u14606)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Range__converse ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Range__converse-1, axiom, ( ( hAPP(c_Relation_ORange(_u14607, _u14608), hAPP(c_Relation_Oconverse(_u14608, _u14607), _u14609)) = hAPP(c_Relation_ODomain(_u14608, _u14607), _u14609)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rtrancl__converseD ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rtrancl__converseD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14610, _u14610)), hAPP(hAPP(c_Product__Type_OPair(_u14610, _u14610), _u14611), _u14612)), c_Transitive__Closure_Ortrancl(_u14610, hAPP(c_Relation_Oconverse(_u14610, _u14610), _u14613)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14610, _u14610)), hAPP(hAPP(c_Product__Type_OPair(_u14610, _u14610), _u14612), _u14611)), c_Transitive__Closure_Ortrancl(_u14610, _u14613))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rtrancl__converseI ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rtrancl__converseI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14614, _u14614)), hAPP(hAPP(c_Product__Type_OPair(_u14614, _u14614), _u14615), _u14616)), c_Transitive__Closure_Ortrancl(_u14614, _u14617))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14614, _u14614)), hAPP(hAPP(c_Product__Type_OPair(_u14614, _u14614), _u14616), _u14615)), c_Transitive__Closure_Ortrancl(_u14614, hAPP(c_Relation_Oconverse(_u14614, _u14614), _u14617)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_trancl__converseD ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_trancl__converseD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14618, _u14618)), hAPP(hAPP(c_Product__Type_OPair(_u14618, _u14618), _u14619), _u14620)), c_Transitive__Closure_Otrancl(_u14618, hAPP(c_Relation_Oconverse(_u14618, _u14618), _u14621)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14618, _u14618)), hAPP(hAPP(c_Product__Type_OPair(_u14618, _u14618), _u14619), _u14620)), hAPP(c_Relation_Oconverse(_u14618, _u14618), c_Transitive__Closure_Otrancl(_u14618, _u14621)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_trancl__converseI ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_trancl__converseI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14622, _u14622)), hAPP(hAPP(c_Product__Type_OPair(_u14622, _u14622), _u14623), _u14624)), hAPP(c_Relation_Oconverse(_u14622, _u14622), c_Transitive__Closure_Otrancl(_u14622, _u14625)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14622, _u14622)), hAPP(hAPP(c_Product__Type_OPair(_u14622, _u14622), _u14623), _u14624)), c_Transitive__Closure_Otrancl(_u14622, hAPP(c_Relation_Oconverse(_u14622, _u14622), _u14625)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Image__subset__eq ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Image__subset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14631, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14633, _u14631, _u14635), _u14637)), _u14639)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14633, tc_HOL_Obool)), _u14637), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14633, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14631, _u14633, hAPP(c_Relation_Oconverse(_u14633, _u14631), _u14635)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14631, tc_HOL_Obool)), _u14639))))) )).
% 20.36/20.57 cnf(fact_Image__subset__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14634, tc_HOL_Obool)), _u14638), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14634, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14632, _u14634, hAPP(c_Relation_Oconverse(_u14634, _u14632), _u14636)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14632, tc_HOL_Obool)), _u14640))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14632, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14634, _u14632, _u14636), _u14638)), _u14640)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_refl__on__comp__subset ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_refl__on__comp__subset-1, axiom, ( ~c_Relation_Orefl__on(_u14641, _u14642, _u14643) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14641, _u14641), tc_HOL_Obool)), _u14643), hAPP(hAPP(c_Relation_Orel__comp(_u14641, _u14641, _u14641), hAPP(c_Relation_Oconverse(_u14641, _u14641), _u14643)), _u14643))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_comp__equivI ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_comp__equivI-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14644, _u14644, _u14644), hAPP(c_Relation_Oconverse(_u14644, _u14644), _u14645)), _u14645) != _u14645) | ( hAPP(c_Relation_ODomain(_u14644, _u14644), _u14645) != _u14646) | c_Equiv__Relations_Oequiv(_u14644, _u14646, _u14645) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_finite__acyclic__wf__converse ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_finite__acyclic__wf__converse-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14647, _u14647)), _u14648)) | ~c_Wellfounded_Oacyclic(_u14647, _u14648) | c_Wellfounded_Owf(_u14647, hAPP(c_Relation_Oconverse(_u14647, _u14647), _u14648)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_converse__def ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_converse__def-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14649, _u14650), _u14651) = hAPP(c_Set_OCollect(tc_prod(_u14650, _u14649)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14650, _u14649, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14650, tc_fun(tc_prod(_u14649, _u14650), tc_HOL_Obool), tc_fun(_u14649, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14649, tc_fun(tc_fun(tc_prod(_u14649, _u14650), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14649, _u14650), tc_HOL_Obool), tc_fun(_u14649, tc_HOL_Obool)), _u14650), c_COMBC(_u14649, tc_fun(tc_prod(_u14649, _u14650), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14649, tc_prod(_u14649, _u14650)), tc_fun(_u14649, tc_fun(tc_fun(tc_prod(_u14649, _u14650), tc_HOL_Obool), tc_HOL_Obool)), _u14650), hAPP(c_COMBB(tc_prod(_u14649, _u14650), tc_fun(tc_fun(tc_prod(_u14649, _u14650), tc_HOL_Obool), tc_HOL_Obool), _u14649), c_member(tc_prod(_u14649, _u14650)))), hAPP(c_COMBC(_u14649, _u14650, tc_prod(_u14649, _u14650)), c_Product__Type_OPair(_u14649, _u14650))))), _u14651)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Image__INT__eq ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Image__INT__eq-1, axiom, ( ~c_Relation_Osingle__valued(_u14652, _u14653, hAPP(c_Relation_Oconverse(_u14653, _u14652), _u14654)) | ( _u14655 = c_Orderings_Obot__class_Obot(tc_fun(_u14656, tc_HOL_Obool))) | ( hAPP(c_Relation_OImage(_u14653, _u14652, _u14654), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14656, tc_fun(_u14653, tc_HOL_Obool)), _u14655), _u14657)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14656, tc_fun(_u14652, tc_HOL_Obool)), _u14655), hAPP(hAPP(c_COMBB(tc_fun(_u14653, tc_HOL_Obool), tc_fun(_u14652, tc_HOL_Obool), _u14656), c_Relation_OImage(_u14653, _u14652, _u14654)), _u14657))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_total__on__diff__Id ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_total__on__diff__Id-1, axiom, ( ~c_Relation_Ototal__on(_u14661, _u14663, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14661, _u14661), tc_HOL_Obool)), _u14665), c_Relation_OId(_u14661))) | c_Relation_Ototal__on(_u14661, _u14663, _u14665) )).
% 20.36/20.57 cnf(fact_total__on__diff__Id-2, axiom, ( ~c_Relation_Ototal__on(_u14662, _u14664, _u14666) | c_Relation_Ototal__on(_u14662, _u14664, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14662, _u14662), tc_HOL_Obool)), _u14666), c_Relation_OId(_u14662))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_single__valued__Id ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_single__valued__Id-1, axiom, ( c_Relation_Osingle__valued(_u14667, _u14667, c_Relation_OId(_u14667)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_single__valued__rel__comp ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_single__valued__rel__comp-1, axiom, ( ~c_Relation_Osingle__valued(_u14668, _u14669, _u14670) | ~c_Relation_Osingle__valued(_u14669, _u14671, _u14672) | c_Relation_Osingle__valued(_u14668, _u14671, hAPP(hAPP(c_Relation_Orel__comp(_u14668, _u14669, _u14671), _u14670), _u14672)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_single__valued__subset ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_single__valued__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14673, _u14674), tc_HOL_Obool)), _u14675), _u14676)) | ~c_Relation_Osingle__valued(_u14673, _u14674, _u14676) | c_Relation_Osingle__valued(_u14673, _u14674, _u14675) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_single__valued__Id__on ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_single__valued__Id__on-1, axiom, ( c_Relation_Osingle__valued(_u14677, _u14677, c_Relation_OId__on(_u14677, _u14678)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_total__on__empty ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_total__on__empty-1, axiom, ( c_Relation_Ototal__on(_u14679, c_Orderings_Obot__class_Obot(tc_fun(_u14679, tc_HOL_Obool)), _u14680) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_total__on__converse ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_total__on__converse-1, axiom, ( ~c_Relation_Ototal__on(_u14684, _u14686, hAPP(c_Relation_Oconverse(_u14684, _u14684), _u14688)) | c_Relation_Ototal__on(_u14684, _u14686, _u14688) )).
% 20.36/20.57 cnf(fact_total__on__converse-2, axiom, ( ~c_Relation_Ototal__on(_u14685, _u14687, _u14689) | c_Relation_Ototal__on(_u14685, _u14687, hAPP(c_Relation_Oconverse(_u14685, _u14685), _u14689)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_single__valuedD ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_single__valuedD-1, axiom, ( ~c_Relation_Osingle__valued(_u14690, _u14691, _u14692) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14690, _u14691)), hAPP(hAPP(c_Product__Type_OPair(_u14690, _u14691), _u14693), _u14694)), _u14692)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14690, _u14691)), hAPP(hAPP(c_Product__Type_OPair(_u14690, _u14691), _u14693), _u14695)), _u14692)) | ( _u14694 = _u14695) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_single__valued__def ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_single__valued__def-1, axiom, ( ~c_Relation_Osingle__valued(_u14705, _u14707, _u14709) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14705, _u14707)), hAPP(hAPP(c_Product__Type_OPair(_u14705, _u14707), _u14698), _u14697)), _u14709)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14705, _u14707)), hAPP(hAPP(c_Product__Type_OPair(_u14705, _u14707), _u14698), _u14696)), _u14709)) | ( _u14697 = _u14696) )).
% 20.36/20.57 cnf(fact_single__valued__def-2, axiom, ( c_Relation_Osingle__valued(_u14706, _u14708, _u14710) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14706, _u14708)), hAPP(hAPP(c_Product__Type_OPair(_u14706, _u14708), skolem365(_u14710, _u14708, _u14706)), skolem366(_u14710, _u14708, _u14706))), _u14710)) )).
% 20.36/20.57 cnf(fact_single__valued__def-3, axiom, ( c_Relation_Osingle__valued(_u14706, _u14708, _u14710) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14706, _u14708)), hAPP(hAPP(c_Product__Type_OPair(_u14706, _u14708), skolem365(_u14710, _u14708, _u14706)), skolem367(_u14710, _u14708, _u14706))), _u14710)) )).
% 20.36/20.57 cnf(fact_single__valued__def-4, axiom, ( c_Relation_Osingle__valued(_u14706, _u14708, _u14710) | ( skolem366(_u14710, _u14708, _u14706) != skolem367(_u14710, _u14708, _u14706)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_total__on__def ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_total__on__def-1, axiom, ( ~c_Relation_Ototal__on(_u14718, _u14720, _u14722) | ~hBOOL(hAPP(hAPP(c_member(_u14718), _u14712), _u14720)) | ~hBOOL(hAPP(hAPP(c_member(_u14718), _u14711), _u14720)) | ( _u14712 = _u14711) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14718, _u14718)), hAPP(hAPP(c_Product__Type_OPair(_u14718, _u14718), _u14712), _u14711)), _u14722)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14718, _u14718)), hAPP(hAPP(c_Product__Type_OPair(_u14718, _u14718), _u14711), _u14712)), _u14722)) )).
% 20.36/20.57 cnf(fact_total__on__def-2, axiom, ( c_Relation_Ototal__on(_u14719, _u14721, _u14723) | hBOOL(hAPP(hAPP(c_member(_u14719), skolem368(_u14723, _u14721, _u14719)), _u14721)) )).
% 20.36/20.57 cnf(fact_total__on__def-3, axiom, ( c_Relation_Ototal__on(_u14719, _u14721, _u14723) | hBOOL(hAPP(hAPP(c_member(_u14719), skolem369(_u14723, _u14721, _u14719)), _u14721)) )).
% 20.36/20.57 cnf(fact_total__on__def-4, axiom, ( c_Relation_Ototal__on(_u14719, _u14721, _u14723) | ( skolem368(_u14723, _u14721, _u14719) != skolem369(_u14723, _u14721, _u14719)) )).
% 20.36/20.57 cnf(fact_total__on__def-5, axiom, ( c_Relation_Ototal__on(_u14719, _u14721, _u14723) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14719, _u14719)), hAPP(hAPP(c_Product__Type_OPair(_u14719, _u14719), skolem368(_u14723, _u14721, _u14719)), skolem369(_u14723, _u14721, _u14719))), _u14723)) )).
% 20.36/20.57 cnf(fact_total__on__def-6, axiom, ( c_Relation_Ototal__on(_u14719, _u14721, _u14723) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14719, _u14719)), hAPP(hAPP(c_Product__Type_OPair(_u14719, _u14719), skolem369(_u14723, _u14721, _u14719)), skolem368(_u14723, _u14721, _u14719))), _u14723)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_single__valued__confluent ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_single__valued__confluent-1, axiom, ( ~c_Relation_Osingle__valued(_u14724, _u14724, _u14725) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14724, _u14724)), hAPP(hAPP(c_Product__Type_OPair(_u14724, _u14724), _u14726), _u14727)), c_Transitive__Closure_Ortrancl(_u14724, _u14725))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14724, _u14724)), hAPP(hAPP(c_Product__Type_OPair(_u14724, _u14724), _u14726), _u14728)), c_Transitive__Closure_Ortrancl(_u14724, _u14725))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14724, _u14724)), hAPP(hAPP(c_Product__Type_OPair(_u14724, _u14724), _u14727), _u14728)), c_Transitive__Closure_Ortrancl(_u14724, _u14725))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14724, _u14724)), hAPP(hAPP(c_Product__Type_OPair(_u14724, _u14724), _u14728), _u14727)), c_Transitive__Closure_Ortrancl(_u14724, _u14725))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Image__Int__eq ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Image__Int__eq-1, axiom, ( ~c_Relation_Osingle__valued(_u14729, _u14730, hAPP(c_Relation_Oconverse(_u14730, _u14729), _u14731)) | ( hAPP(c_Relation_OImage(_u14730, _u14729, _u14731), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14730, tc_HOL_Obool)), _u14732), _u14733)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14729, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14730, _u14729, _u14731), _u14732)), hAPP(c_Relation_OImage(_u14730, _u14729, _u14731), _u14733))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rtrancl__imp__UN__rel__pow ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rtrancl__imp__UN__rel__pow-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14734, _u14734)), _u14735), c_Transitive__Closure_Ortrancl(_u14734, _u14736))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14734, _u14734)), _u14735), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u14734, _u14734), 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(_u14734, _u14734), tc_HOL_Obool), tc_fun(tc_prod(_u14734, _u14734), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u14734, _u14734), tc_HOL_Obool)), _u14736)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_acyclicI ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_acyclicI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14738, _u14738)), hAPP(hAPP(c_Product__Type_OPair(_u14738, _u14738), skolem370(_u14739, _u14738)), skolem370(_u14739, _u14738))), c_Transitive__Closure_Otrancl(_u14738, _u14739))) | c_Wellfounded_Oacyclic(_u14738, _u14739) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_single__valued__rel__pow ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_single__valued__rel__pow-1, axiom, ( ~c_Relation_Osingle__valued(_u14740, _u14740, _u14741) | c_Relation_Osingle__valued(_u14740, _u14740, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14740, _u14740), tc_HOL_Obool), _u14742), _u14741)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_funpow__swap1 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_funpow__swap1-1, axiom, ( ( hAPP(_u14743, hAPP(hAPP(hAPP(c_Nat_Ocompow(_u14744, _u14744), _u14745), _u14743), _u14746)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(_u14744, _u14744), _u14745), _u14743), hAPP(_u14743, _u14746))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_funpow__mult ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_funpow__mult-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14747, _u14747), _u14748), hAPP(hAPP(c_Nat_Ocompow(_u14747, _u14747), _u14749), _u14750)) = hAPP(hAPP(c_Nat_Ocompow(_u14747, _u14747), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u14749), _u14748)), _u14750)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_wf__exp ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_wf__exp-1, axiom, ( ~c_Wellfounded_Owf(_u14751, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14751, _u14751), tc_HOL_Obool), _u14752), _u14753)) | c_Wellfounded_Owf(_u14751, _u14753) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_comp__funpow ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_comp__funpow-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_fun(_u14754, _u14755), tc_fun(_u14754, _u14755)), _u14756), c_Fun_Ocomp(_u14755, _u14755, _u14754, _u14757)) = c_Fun_Ocomp(_u14755, _u14755, _u14754, hAPP(hAPP(c_Nat_Ocompow(_u14755, _u14755), _u14756), _u14757))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rel__pow__commute ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rel__pow__commute-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14758, _u14758, _u14758), _u14759), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14758, _u14758), tc_HOL_Obool), _u14760), _u14759)) = hAPP(hAPP(c_Relation_Orel__comp(_u14758, _u14758, _u14758), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14758, _u14758), tc_HOL_Obool), _u14760), _u14759)), _u14759)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rel__pow__1 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rel__pow__1-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14761, _u14761), tc_HOL_Obool), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u14762) = _u14762) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rtrancl__power ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rtrancl__power-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14768, _u14768)), _u14770), c_Transitive__Closure_Ortrancl(_u14768, _u14772))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14768, _u14768)), _u14770), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14768, _u14768), tc_HOL_Obool), skolem371(_u14772, _u14770, _u14768)), _u14772))) )).
% 20.36/20.57 cnf(fact_rtrancl__power-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14769, _u14769)), _u14771), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14769, _u14769), tc_HOL_Obool), _u14764), _u14773))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14769, _u14769)), _u14771), c_Transitive__Closure_Ortrancl(_u14769, _u14773))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rel__pow__imp__rtrancl ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rel__pow__imp__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14774, _u14774)), _u14775), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14774, _u14774), tc_HOL_Obool), _u14776), _u14777))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14774, _u14774)), _u14775), c_Transitive__Closure_Ortrancl(_u14774, _u14777))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_relpow_Osimps_I2_J ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_relpow_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14778, _u14778), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14779)), _u14780) = hAPP(hAPP(c_Relation_Orel__comp(_u14778, _u14778, _u14778), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14778, _u14778), tc_HOL_Obool), _u14779), _u14780)), _u14780)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rel__pow__add ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rel__pow__add-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14781, _u14781), tc_HOL_Obool), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14782), _u14783)), _u14784) = hAPP(hAPP(c_Relation_Orel__comp(_u14781, _u14781, _u14781), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14781, _u14781), tc_HOL_Obool), _u14782), _u14784)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14781, _u14781), tc_HOL_Obool), _u14783), _u14784))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_relpow_Osimps_I1_J ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_relpow_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14785, _u14785), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14786) = c_Relation_OId(_u14785)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rel__pow__0__I ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rel__pow__0__I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14787, _u14787)), hAPP(hAPP(c_Product__Type_OPair(_u14787, _u14787), _u14788), _u14788)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14787, _u14787), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14789))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rel__pow__0__E ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rel__pow__0__E-1, axiom, ( ( _u14791 = _u14792) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14790, _u14790)), hAPP(hAPP(c_Product__Type_OPair(_u14790, _u14790), _u14791), _u14792)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14790, _u14790), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14793))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rel__pow__Suc__I ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rel__pow__Suc__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14794, _u14794)), hAPP(hAPP(c_Product__Type_OPair(_u14794, _u14794), _u14795), _u14796)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14794, _u14794), tc_HOL_Obool), _u14797), _u14798))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14794, _u14794)), hAPP(hAPP(c_Product__Type_OPair(_u14794, _u14794), _u14796), _u14799)), _u14798)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14794, _u14794)), hAPP(hAPP(c_Product__Type_OPair(_u14794, _u14794), _u14795), _u14799)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14794, _u14794), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14797)), _u14798))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rel__pow__Suc__I2 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rel__pow__Suc__I2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14800, _u14800)), hAPP(hAPP(c_Product__Type_OPair(_u14800, _u14800), _u14801), _u14802)), _u14803)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14800, _u14800)), hAPP(hAPP(c_Product__Type_OPair(_u14800, _u14800), _u14802), _u14804)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14800, _u14800), tc_HOL_Obool), _u14805), _u14803))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14800, _u14800)), hAPP(hAPP(c_Product__Type_OPair(_u14800, _u14800), _u14801), _u14804)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14800, _u14800), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14805)), _u14803))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_funpow_Osimps_I2_J ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_funpow_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14806, _u14806), hAPP(c_Nat_OSuc, _u14807)), _u14808) = hAPP(c_Fun_Ocomp(_u14806, _u14806, _u14806, _u14808), hAPP(hAPP(c_Nat_Ocompow(_u14806, _u14806), _u14807), _u14808))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_funpow__add ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_funpow__add-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14809, _u14809), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14810), _u14811)), _u14812) = hAPP(c_Fun_Ocomp(_u14809, _u14809, _u14809, hAPP(hAPP(c_Nat_Ocompow(_u14809, _u14809), _u14810), _u14812)), hAPP(hAPP(c_Nat_Ocompow(_u14809, _u14809), _u14811), _u14812))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_funpow_Osimps_I1_J ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_funpow_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14813, _u14813), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14814) = c_Fun_Oid(_u14813)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_trancl__power ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_trancl__power-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14820, _u14820)), _u14822), c_Transitive__Closure_Otrancl(_u14820, _u14824))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem372(_u14824, _u14822, _u14820))) )).
% 20.36/20.57 cnf(fact_trancl__power-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14820, _u14820)), _u14822), c_Transitive__Closure_Otrancl(_u14820, _u14824))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14820, _u14820)), _u14822), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14820, _u14820), tc_HOL_Obool), skolem372(_u14824, _u14822, _u14820)), _u14824))) )).
% 20.36/20.57 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)), _u14816)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14821, _u14821)), _u14823), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14821, _u14821), tc_HOL_Obool), _u14816), _u14825))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14821, _u14821)), _u14823), c_Transitive__Closure_Otrancl(_u14821, _u14825))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rtrancl__is__UN__rel__pow ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rtrancl__is__UN__rel__pow-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14826, _u14827) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u14826, _u14826), 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(_u14826, _u14826), tc_HOL_Obool), tc_fun(tc_prod(_u14826, _u14826), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u14826, _u14826), tc_HOL_Obool)), _u14827))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_funpow__code__def ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_funpow__code__def-1, axiom, ( ( c_Nat_Ofunpow(_u14828) = c_Nat_Ocompow(_u14828, _u14828)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rel__pow__E ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rel__pow__E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14831, _u14831)), hAPP(hAPP(c_Product__Type_OPair(_u14831, _u14831), _u14832), _u14833)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14831, _u14831), tc_HOL_Obool), _u14834), _u14835))) | ( _u14834 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u14834 = hAPP(c_Nat_OSuc, skolem374(_u14835, _u14834, _u14833, _u14832, _u14831))) )).
% 20.36/20.57 cnf(fact_rel__pow__E-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14831, _u14831)), hAPP(hAPP(c_Product__Type_OPair(_u14831, _u14831), _u14832), _u14833)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14831, _u14831), tc_HOL_Obool), _u14834), _u14835))) | ( _u14834 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14831, _u14831)), hAPP(hAPP(c_Product__Type_OPair(_u14831, _u14831), _u14832), skolem373(_u14835, _u14834, _u14833, _u14832, _u14831))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14831, _u14831), tc_HOL_Obool), skolem374(_u14835, _u14834, _u14833, _u14832, _u14831)), _u14835))) )).
% 20.36/20.57 cnf(fact_rel__pow__E-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14831, _u14831)), hAPP(hAPP(c_Product__Type_OPair(_u14831, _u14831), _u14832), _u14833)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14831, _u14831), tc_HOL_Obool), _u14834), _u14835))) | ( _u14834 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14831, _u14831)), hAPP(hAPP(c_Product__Type_OPair(_u14831, _u14831), skolem373(_u14835, _u14834, _u14833, _u14832, _u14831)), _u14833)), _u14835)) )).
% 20.36/20.57 cnf(fact_rel__pow__E-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14831, _u14831)), hAPP(hAPP(c_Product__Type_OPair(_u14831, _u14831), _u14832), _u14833)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14831, _u14831), tc_HOL_Obool), _u14834), _u14835))) | ( _u14832 = _u14833) | ( _u14834 = hAPP(c_Nat_OSuc, skolem374(_u14835, _u14834, _u14833, _u14832, _u14831))) )).
% 20.36/20.57 cnf(fact_rel__pow__E-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14831, _u14831)), hAPP(hAPP(c_Product__Type_OPair(_u14831, _u14831), _u14832), _u14833)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14831, _u14831), tc_HOL_Obool), _u14834), _u14835))) | ( _u14832 = _u14833) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14831, _u14831)), hAPP(hAPP(c_Product__Type_OPair(_u14831, _u14831), _u14832), skolem373(_u14835, _u14834, _u14833, _u14832, _u14831))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14831, _u14831), tc_HOL_Obool), skolem374(_u14835, _u14834, _u14833, _u14832, _u14831)), _u14835))) )).
% 20.36/20.57 cnf(fact_rel__pow__E-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14831, _u14831)), hAPP(hAPP(c_Product__Type_OPair(_u14831, _u14831), _u14832), _u14833)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14831, _u14831), tc_HOL_Obool), _u14834), _u14835))) | ( _u14832 = _u14833) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14831, _u14831)), hAPP(hAPP(c_Product__Type_OPair(_u14831, _u14831), skolem373(_u14835, _u14834, _u14833, _u14832, _u14831)), _u14833)), _u14835)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rel__pow__E2 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rel__pow__E2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14838, _u14838)), hAPP(hAPP(c_Product__Type_OPair(_u14838, _u14838), _u14839), _u14840)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14838, _u14838), tc_HOL_Obool), _u14841), _u14842))) | ( _u14841 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u14841 = hAPP(c_Nat_OSuc, skolem376(_u14842, _u14841, _u14840, _u14839, _u14838))) )).
% 20.36/20.57 cnf(fact_rel__pow__E2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14838, _u14838)), hAPP(hAPP(c_Product__Type_OPair(_u14838, _u14838), _u14839), _u14840)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14838, _u14838), tc_HOL_Obool), _u14841), _u14842))) | ( _u14841 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14838, _u14838)), hAPP(hAPP(c_Product__Type_OPair(_u14838, _u14838), _u14839), skolem375(_u14842, _u14841, _u14840, _u14839, _u14838))), _u14842)) )).
% 20.36/20.57 cnf(fact_rel__pow__E2-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14838, _u14838)), hAPP(hAPP(c_Product__Type_OPair(_u14838, _u14838), _u14839), _u14840)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14838, _u14838), tc_HOL_Obool), _u14841), _u14842))) | ( _u14841 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14838, _u14838)), hAPP(hAPP(c_Product__Type_OPair(_u14838, _u14838), skolem375(_u14842, _u14841, _u14840, _u14839, _u14838)), _u14840)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14838, _u14838), tc_HOL_Obool), skolem376(_u14842, _u14841, _u14840, _u14839, _u14838)), _u14842))) )).
% 20.36/20.57 cnf(fact_rel__pow__E2-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14838, _u14838)), hAPP(hAPP(c_Product__Type_OPair(_u14838, _u14838), _u14839), _u14840)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14838, _u14838), tc_HOL_Obool), _u14841), _u14842))) | ( _u14839 = _u14840) | ( _u14841 = hAPP(c_Nat_OSuc, skolem376(_u14842, _u14841, _u14840, _u14839, _u14838))) )).
% 20.36/20.57 cnf(fact_rel__pow__E2-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14838, _u14838)), hAPP(hAPP(c_Product__Type_OPair(_u14838, _u14838), _u14839), _u14840)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14838, _u14838), tc_HOL_Obool), _u14841), _u14842))) | ( _u14839 = _u14840) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14838, _u14838)), hAPP(hAPP(c_Product__Type_OPair(_u14838, _u14838), _u14839), skolem375(_u14842, _u14841, _u14840, _u14839, _u14838))), _u14842)) )).
% 20.36/20.57 cnf(fact_rel__pow__E2-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14838, _u14838)), hAPP(hAPP(c_Product__Type_OPair(_u14838, _u14838), _u14839), _u14840)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14838, _u14838), tc_HOL_Obool), _u14841), _u14842))) | ( _u14839 = _u14840) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14838, _u14838)), hAPP(hAPP(c_Product__Type_OPair(_u14838, _u14838), skolem375(_u14842, _u14841, _u14840, _u14839, _u14838)), _u14840)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14838, _u14838), tc_HOL_Obool), skolem376(_u14842, _u14841, _u14840, _u14839, _u14838)), _u14842))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rtrancl__Un__separatorE ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rtrancl__Un__separatorE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14845, _u14845)), hAPP(hAPP(c_Product__Type_OPair(_u14845, _u14845), _u14846), _u14847)), c_Transitive__Closure_Ortrancl(_u14845, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14845, _u14845), tc_HOL_Obool)), _u14848), _u14849)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14845, _u14845)), hAPP(hAPP(c_Product__Type_OPair(_u14845, _u14845), _u14846), _u14847)), c_Transitive__Closure_Ortrancl(_u14845, _u14848))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14845, _u14845)), hAPP(hAPP(c_Product__Type_OPair(_u14845, _u14845), _u14846), skolem377(_u14849, _u14848, _u14847, _u14846, _u14845))), c_Transitive__Closure_Ortrancl(_u14845, _u14848))) )).
% 20.36/20.57 cnf(fact_rtrancl__Un__separatorE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14845, _u14845)), hAPP(hAPP(c_Product__Type_OPair(_u14845, _u14845), _u14846), _u14847)), c_Transitive__Closure_Ortrancl(_u14845, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14845, _u14845), tc_HOL_Obool)), _u14848), _u14849)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14845, _u14845)), hAPP(hAPP(c_Product__Type_OPair(_u14845, _u14845), _u14846), _u14847)), c_Transitive__Closure_Ortrancl(_u14845, _u14848))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14845, _u14845)), hAPP(hAPP(c_Product__Type_OPair(_u14845, _u14845), skolem377(_u14849, _u14848, _u14847, _u14846, _u14845)), skolem378(_u14849, _u14848, _u14847, _u14846, _u14845))), _u14849)) )).
% 20.36/20.57 cnf(fact_rtrancl__Un__separatorE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14845, _u14845)), hAPP(hAPP(c_Product__Type_OPair(_u14845, _u14845), _u14846), _u14847)), c_Transitive__Closure_Ortrancl(_u14845, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14845, _u14845), tc_HOL_Obool)), _u14848), _u14849)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14845, _u14845)), hAPP(hAPP(c_Product__Type_OPair(_u14845, _u14845), _u14846), _u14847)), c_Transitive__Closure_Ortrancl(_u14845, _u14848))) | ( skolem377(_u14849, _u14848, _u14847, _u14846, _u14845) != skolem378(_u14849, _u14848, _u14847, _u14846, _u14845)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rtrancl__Un__separator__converseE ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rtrancl__Un__separator__converseE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14852, _u14852)), hAPP(hAPP(c_Product__Type_OPair(_u14852, _u14852), _u14853), _u14854)), c_Transitive__Closure_Ortrancl(_u14852, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14852, _u14852), tc_HOL_Obool)), _u14855), _u14856)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14852, _u14852)), hAPP(hAPP(c_Product__Type_OPair(_u14852, _u14852), _u14853), _u14854)), c_Transitive__Closure_Ortrancl(_u14852, _u14855))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14852, _u14852)), hAPP(hAPP(c_Product__Type_OPair(_u14852, _u14852), skolem379(_u14856, _u14855, _u14854, _u14853, _u14852)), _u14854)), c_Transitive__Closure_Ortrancl(_u14852, _u14855))) )).
% 20.36/20.57 cnf(fact_rtrancl__Un__separator__converseE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14852, _u14852)), hAPP(hAPP(c_Product__Type_OPair(_u14852, _u14852), _u14853), _u14854)), c_Transitive__Closure_Ortrancl(_u14852, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14852, _u14852), tc_HOL_Obool)), _u14855), _u14856)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14852, _u14852)), hAPP(hAPP(c_Product__Type_OPair(_u14852, _u14852), _u14853), _u14854)), c_Transitive__Closure_Ortrancl(_u14852, _u14855))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14852, _u14852)), hAPP(hAPP(c_Product__Type_OPair(_u14852, _u14852), skolem380(_u14856, _u14855, _u14854, _u14853, _u14852)), skolem379(_u14856, _u14855, _u14854, _u14853, _u14852))), _u14856)) )).
% 20.36/20.57 cnf(fact_rtrancl__Un__separator__converseE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14852, _u14852)), hAPP(hAPP(c_Product__Type_OPair(_u14852, _u14852), _u14853), _u14854)), c_Transitive__Closure_Ortrancl(_u14852, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14852, _u14852), tc_HOL_Obool)), _u14855), _u14856)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14852, _u14852)), hAPP(hAPP(c_Product__Type_OPair(_u14852, _u14852), _u14853), _u14854)), c_Transitive__Closure_Ortrancl(_u14852, _u14855))) | ( skolem380(_u14856, _u14855, _u14854, _u14853, _u14852) != skolem379(_u14856, _u14855, _u14854, _u14853, _u14852)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rel__pow__Suc__D2 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rel__pow__Suc__D2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14858, _u14858)), hAPP(hAPP(c_Product__Type_OPair(_u14858, _u14858), _u14859), _u14860)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14858, _u14858), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14861)), _u14862))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14858, _u14858)), hAPP(hAPP(c_Product__Type_OPair(_u14858, _u14858), _u14859), skolem381(_u14862, _u14861, _u14860, _u14859, _u14858))), _u14862)) )).
% 20.36/20.57 cnf(fact_rel__pow__Suc__D2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14858, _u14858)), hAPP(hAPP(c_Product__Type_OPair(_u14858, _u14858), _u14859), _u14860)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14858, _u14858), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14861)), _u14862))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14858, _u14858)), hAPP(hAPP(c_Product__Type_OPair(_u14858, _u14858), skolem381(_u14862, _u14861, _u14860, _u14859, _u14858)), _u14860)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14858, _u14858), tc_HOL_Obool), _u14861), _u14862))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rel__pow__Suc__E ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rel__pow__Suc__E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14864, _u14864)), hAPP(hAPP(c_Product__Type_OPair(_u14864, _u14864), _u14865), _u14866)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14864, _u14864), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14867)), _u14868))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14864, _u14864)), hAPP(hAPP(c_Product__Type_OPair(_u14864, _u14864), _u14865), skolem382(_u14868, _u14867, _u14866, _u14865, _u14864))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14864, _u14864), tc_HOL_Obool), _u14867), _u14868))) )).
% 20.36/20.57 cnf(fact_rel__pow__Suc__E-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14864, _u14864)), hAPP(hAPP(c_Product__Type_OPair(_u14864, _u14864), _u14865), _u14866)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14864, _u14864), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14867)), _u14868))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14864, _u14864)), hAPP(hAPP(c_Product__Type_OPair(_u14864, _u14864), skolem382(_u14868, _u14867, _u14866, _u14865, _u14864)), _u14866)), _u14868)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rel__pow__Suc__E2 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rel__pow__Suc__E2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14870, _u14870)), hAPP(hAPP(c_Product__Type_OPair(_u14870, _u14870), _u14871), _u14872)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14870, _u14870), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14873)), _u14874))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14870, _u14870)), hAPP(hAPP(c_Product__Type_OPair(_u14870, _u14870), _u14871), skolem383(_u14874, _u14873, _u14872, _u14871, _u14870))), _u14874)) )).
% 20.36/20.57 cnf(fact_rel__pow__Suc__E2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14870, _u14870)), hAPP(hAPP(c_Product__Type_OPair(_u14870, _u14870), _u14871), _u14872)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14870, _u14870), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14873)), _u14874))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14870, _u14870)), hAPP(hAPP(c_Product__Type_OPair(_u14870, _u14870), skolem383(_u14874, _u14873, _u14872, _u14871, _u14870)), _u14872)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14870, _u14870), tc_HOL_Obool), _u14873), _u14874))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_tranclD ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_tranclD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14876, _u14876)), hAPP(hAPP(c_Product__Type_OPair(_u14876, _u14876), _u14877), _u14878)), c_Transitive__Closure_Otrancl(_u14876, _u14879))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14876, _u14876)), hAPP(hAPP(c_Product__Type_OPair(_u14876, _u14876), _u14877), skolem384(_u14879, _u14878, _u14877, _u14876))), _u14879)) )).
% 20.36/20.57 cnf(fact_tranclD-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14876, _u14876)), hAPP(hAPP(c_Product__Type_OPair(_u14876, _u14876), _u14877), _u14878)), c_Transitive__Closure_Otrancl(_u14876, _u14879))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14876, _u14876)), hAPP(hAPP(c_Product__Type_OPair(_u14876, _u14876), skolem384(_u14879, _u14878, _u14877, _u14876)), _u14878)), c_Transitive__Closure_Ortrancl(_u14876, _u14879))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_tranclD2 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_tranclD2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14881, _u14881)), hAPP(hAPP(c_Product__Type_OPair(_u14881, _u14881), _u14882), _u14883)), c_Transitive__Closure_Otrancl(_u14881, _u14884))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14881, _u14881)), hAPP(hAPP(c_Product__Type_OPair(_u14881, _u14881), _u14882), skolem385(_u14884, _u14883, _u14882, _u14881))), c_Transitive__Closure_Ortrancl(_u14881, _u14884))) )).
% 20.36/20.57 cnf(fact_tranclD2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14881, _u14881)), hAPP(hAPP(c_Product__Type_OPair(_u14881, _u14881), _u14882), _u14883)), c_Transitive__Closure_Otrancl(_u14881, _u14884))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14881, _u14881)), hAPP(hAPP(c_Product__Type_OPair(_u14881, _u14881), skolem385(_u14884, _u14883, _u14882, _u14881)), _u14883)), _u14884)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_IdE ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_IdE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14886, _u14886)), _u14887), c_Relation_OId(_u14886))) | ( _u14887 = hAPP(hAPP(c_Product__Type_OPair(_u14886, _u14886), skolem386(_u14887, _u14886)), skolem386(_u14887, _u14886))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_wf__eq__minimal ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_wf__eq__minimal-1, axiom, ( ~c_Wellfounded_Owf(_u14898, _u14900) | ~hBOOL(hAPP(hAPP(c_member(_u14898), _u14888), _u14891)) | hBOOL(hAPP(hAPP(c_member(_u14898), skolem387(_u14900, _u14898, _u14891)), _u14891)) )).
% 20.36/20.57 cnf(fact_wf__eq__minimal-2, axiom, ( ~c_Wellfounded_Owf(_u14898, _u14900) | ~hBOOL(hAPP(hAPP(c_member(_u14898), _u14888), _u14891)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14898, _u14898)), hAPP(hAPP(c_Product__Type_OPair(_u14898, _u14898), _u14889), skolem387(_u14900, _u14898, _u14891))), _u14900)) | ~hBOOL(hAPP(hAPP(c_member(_u14898), _u14889), _u14891)) )).
% 20.36/20.57 cnf(fact_wf__eq__minimal-3, axiom, ( c_Wellfounded_Owf(_u14899, _u14901) | hBOOL(hAPP(hAPP(c_member(_u14899), skolem389(_u14901, _u14899)), skolem388(_u14901, _u14899))) )).
% 20.36/20.57 cnf(fact_wf__eq__minimal-4, axiom, ( c_Wellfounded_Owf(_u14899, _u14901) | ~hBOOL(hAPP(hAPP(c_member(_u14899), _u14894), skolem388(_u14901, _u14899))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14899, _u14899)), hAPP(hAPP(c_Product__Type_OPair(_u14899, _u14899), skolem390(_u14901, _u14899, _u14894)), _u14894)), _u14901)) )).
% 20.36/20.57 cnf(fact_wf__eq__minimal-5, axiom, ( c_Wellfounded_Owf(_u14899, _u14901) | ~hBOOL(hAPP(hAPP(c_member(_u14899), _u14894), skolem388(_u14901, _u14899))) | hBOOL(hAPP(hAPP(c_member(_u14899), skolem390(_u14901, _u14899, _u14894)), skolem388(_u14901, _u14899))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_transfer__nat__int__set__cong ( axiom ) converted to clauses:
% 20.36/20.57 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)))), _u14903)) = 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)))), _u14904))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem391(_u14904, _u14903))) )).
% 20.36/20.57 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)))), _u14903)) = 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)))), _u14904))) | hBOOL(hAPP(_u14903, skolem391(_u14904, _u14903))) | hBOOL(hAPP(_u14904, skolem391(_u14904, _u14903))) )).
% 20.36/20.57 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)))), _u14903)) = 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)))), _u14904))) | ~hBOOL(hAPP(_u14904, skolem391(_u14904, _u14903))) | ~hBOOL(hAPP(_u14903, skolem391(_u14904, _u14903))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Int__Collect__mono ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Int__Collect__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14906, tc_HOL_Obool)), _u14907), _u14908)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14906, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14906, tc_HOL_Obool)), _u14907), hAPP(c_Set_OCollect(_u14906), _u14909))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14906, tc_HOL_Obool)), _u14908), hAPP(c_Set_OCollect(_u14906), _u14910)))) | hBOOL(hAPP(hAPP(c_member(_u14906), skolem392(_u14910, _u14909, _u14908, _u14907, _u14906)), _u14907)) )).
% 20.36/20.57 cnf(fact_Int__Collect__mono-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14906, tc_HOL_Obool)), _u14907), _u14908)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14906, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14906, tc_HOL_Obool)), _u14907), hAPP(c_Set_OCollect(_u14906), _u14909))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14906, tc_HOL_Obool)), _u14908), hAPP(c_Set_OCollect(_u14906), _u14910)))) | hBOOL(hAPP(_u14909, skolem392(_u14910, _u14909, _u14908, _u14907, _u14906))) )).
% 20.36/20.57 cnf(fact_Int__Collect__mono-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14906, tc_HOL_Obool)), _u14907), _u14908)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14906, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14906, tc_HOL_Obool)), _u14907), hAPP(c_Set_OCollect(_u14906), _u14909))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14906, tc_HOL_Obool)), _u14908), hAPP(c_Set_OCollect(_u14906), _u14910)))) | ~hBOOL(hAPP(_u14910, skolem392(_u14910, _u14909, _u14908, _u14907, _u14906))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rel__compE ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rel__compE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14914, _u14915)), _u14916), hAPP(hAPP(c_Relation_Orel__comp(_u14914, _u14917, _u14915), _u14918), _u14919))) | ( _u14916 = hAPP(hAPP(c_Product__Type_OPair(_u14914, _u14915), skolem393(_u14919, _u14918, _u14917, _u14916, _u14915, _u14914)), skolem395(_u14919, _u14918, _u14917, _u14916, _u14915, _u14914))) )).
% 20.36/20.57 cnf(fact_rel__compE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14914, _u14915)), _u14916), hAPP(hAPP(c_Relation_Orel__comp(_u14914, _u14917, _u14915), _u14918), _u14919))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14914, _u14917)), hAPP(hAPP(c_Product__Type_OPair(_u14914, _u14917), skolem393(_u14919, _u14918, _u14917, _u14916, _u14915, _u14914)), skolem394(_u14919, _u14918, _u14917, _u14916, _u14915, _u14914))), _u14918)) )).
% 20.36/20.57 cnf(fact_rel__compE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14914, _u14915)), _u14916), hAPP(hAPP(c_Relation_Orel__comp(_u14914, _u14917, _u14915), _u14918), _u14919))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14917, _u14915)), hAPP(hAPP(c_Product__Type_OPair(_u14917, _u14915), skolem394(_u14919, _u14918, _u14917, _u14916, _u14915, _u14914)), skolem395(_u14919, _u14918, _u14917, _u14916, _u14915, _u14914))), _u14919)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_converseE ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_converseE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14922, _u14923)), _u14924), hAPP(c_Relation_Oconverse(_u14923, _u14922), _u14925))) | ( _u14924 = hAPP(hAPP(c_Product__Type_OPair(_u14922, _u14923), skolem397(_u14925, _u14924, _u14923, _u14922)), skolem396(_u14925, _u14924, _u14923, _u14922))) )).
% 20.36/20.57 cnf(fact_converseE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14922, _u14923)), _u14924), hAPP(c_Relation_Oconverse(_u14923, _u14922), _u14925))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14923, _u14922)), hAPP(hAPP(c_Product__Type_OPair(_u14923, _u14922), skolem396(_u14925, _u14924, _u14923, _u14922)), skolem397(_u14925, _u14924, _u14923, _u14922))), _u14925)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Nitpick_Oplus__frac__def ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Nitpick_Oplus__frac__def-1, axiom, ( ( c_Nitpick_Oplus__frac(_u14926, _u14927, _u14928) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u14926), c_Nitpick_Oint__lcm(hAPP(c_Nitpick_Odenom(_u14926), _u14927), hAPP(c_Nitpick_Odenom(_u14926), _u14928))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Int_Oint, _u14926), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, _u14926), tc_Int_Oint), c_Nitpick_Ofrac(_u14926)), 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(_u14926), _u14927))), 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(_u14926), _u14927))))), 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(_u14926), _u14928))), 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(_u14926), _u14928)))))), c_COMBI(tc_Int_Oint)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_internal__split__def ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_internal__split__def-1, axiom, ( ( c_Product__Type_Ointernal__split(_u14929, _u14930, _u14931) = c_Product__Type_Oprod_Oprod__case(_u14929, _u14930, _u14931)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_internal__split__conv ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_internal__split__conv-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Ointernal__split(_u14932, _u14933, _u14934), _u14935), hAPP(hAPP(c_Product__Type_OPair(_u14932, _u14933), _u14936), _u14937)) = hAPP(hAPP(_u14935, _u14936), _u14937)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Nitpick_Otimes__frac__def ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Nitpick_Otimes__frac__def-1, axiom, ( ( c_Nitpick_Otimes__frac(_u14938, _u14939, _u14940) = hAPP(hAPP(c_Nitpick_Ofrac(_u14938), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u14938), _u14939)), hAPP(c_Nitpick_Onum(_u14938), _u14940))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Odenom(_u14938), _u14939)), hAPP(c_Nitpick_Odenom(_u14938), _u14940)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Nitpick_Oof__frac__def ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Nitpick_Oof__frac__def-1, axiom, ( ~class_Rings_Oinverse(_u14941) | ~class_Rings_Oring__1(_u14941) | ( c_Nitpick_Oof__frac(_u14942, _u14941, _u14943) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u14941), hAPP(c_Int_Oring__1__class_Oof__int(_u14941), hAPP(c_Nitpick_Onum(_u14942), _u14943))), hAPP(c_Int_Oring__1__class_Oof__int(_u14941), hAPP(c_Nitpick_Odenom(_u14942), _u14943)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Nitpick_Oinverse__frac__def ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Nitpick_Oinverse__frac__def-1, axiom, ( ( c_Nitpick_Oinverse__frac(_u14944, _u14945) = hAPP(hAPP(c_Nitpick_Ofrac(_u14944), hAPP(c_Nitpick_Odenom(_u14944), _u14945)), hAPP(c_Nitpick_Onum(_u14944), _u14945))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Nitpick_Ouminus__frac__def ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Nitpick_Ouminus__frac__def-1, axiom, ( ( c_Nitpick_Ouminus__frac(_u14946, _u14947) = c_Nitpick_OAbs__Frac(_u14946, 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(_u14946), _u14947))), hAPP(c_Nitpick_Odenom(_u14946), _u14947)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Nitpick_Oless__frac__def ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Nitpick_Oless__frac__def-1, axiom, ( ~c_Nitpick_Oless__frac(_u14951, _u14953, _u14955) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u14951), c_Nitpick_Oplus__frac(_u14951, _u14953, c_Nitpick_Ouminus__frac(_u14951, _u14955)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.57 cnf(fact_Nitpick_Oless__frac__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u14952), c_Nitpick_Oplus__frac(_u14952, _u14954, c_Nitpick_Ouminus__frac(_u14952, _u14956)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__frac(_u14952, _u14954, _u14956) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Nitpick_Oless__eq__frac__def ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Nitpick_Oless__eq__frac__def-1, axiom, ( ~c_Nitpick_Oless__eq__frac(_u14960, _u14962, _u14964) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u14960), c_Nitpick_Oplus__frac(_u14960, _u14962, c_Nitpick_Ouminus__frac(_u14960, _u14964)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.57 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(_u14961), c_Nitpick_Oplus__frac(_u14961, _u14963, c_Nitpick_Ouminus__frac(_u14961, _u14965)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__eq__frac(_u14961, _u14963, _u14965) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Nitpick_Odenom__def ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Nitpick_Odenom__def-1, axiom, ( ( c_Nitpick_Odenom(_u14966) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u14966, c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u14966))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Nitpick_Onum__def ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Nitpick_Onum__def-1, axiom, ( ( c_Nitpick_Onum(_u14967) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u14967, c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u14967))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_bool_Osize_I2_J ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_bool_Osize_I2_J-1, axiom, ( ( c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_bool_Osize_I1_J ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_bool_Osize_I1_J-1, axiom, ( ( c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_finite__less__ub ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_finite__less__ub-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem398(_u14970, _u14969)), hAPP(_u14969, skolem398(_u14970, _u14969)))) | 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)), _u14969)), _u14970)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_lenlex__def ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_lenlex__def-1, axiom, ( ( c_List_Olenlex(_u14971, _u14972) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, tc_List_Olist(_u14971)), tc_List_Olist(_u14971)), c_Wellfounded_Olex__prod(tc_Nat_Onat, tc_List_Olist(_u14971), c_Wellfounded_Oless__than, c_List_Olex(_u14971, _u14972))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u14971), tc_List_Olist(_u14971), tc_prod(tc_Nat_Onat, tc_List_Olist(_u14971))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_List_Olist(_u14971), tc_prod(tc_Nat_Onat, tc_List_Olist(_u14971))), tc_List_Olist(_u14971)), c_Product__Type_OPair(tc_Nat_Onat, tc_List_Olist(_u14971))), c_Nat_Osize__class_Osize(tc_List_Olist(_u14971)))), c_COMBI(tc_List_Olist(_u14971))))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_neq__if__length__neq ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_neq__if__length__neq-1, axiom, ( ( _u14974 != _u14975) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14973)), _u14974) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14973)), _u14975)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_lexn__length ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_lexn__length-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14976), tc_List_Olist(_u14976))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14976), tc_List_Olist(_u14976)), _u14977), _u14978)), hAPP(c_List_Olexn(_u14976, _u14979), _u14980))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14976)), _u14977) = _u14980) )).
% 20.36/20.57 cnf(fact_lexn__length-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14976), tc_List_Olist(_u14976))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14976), tc_List_Olist(_u14976)), _u14977), _u14978)), hAPP(c_List_Olexn(_u14976, _u14979), _u14980))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14976)), _u14978) = _u14980) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_lenlex__conv ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_lenlex__conv-1, axiom, ( ( c_List_Olenlex(_u14981, _u14982) = hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u14981), tc_List_Olist(_u14981))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u14981), tc_List_Olist(_u14981), tc_HOL_Obool), hAPP(hAPP(c_COMBS(tc_List_Olist(_u14981), tc_fun(tc_List_Olist(_u14981), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14981), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14981), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u14981), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14981), tc_HOL_Obool)), tc_List_Olist(_u14981)), c_COMBS(tc_List_Olist(_u14981), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14981), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14981), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u14981)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14981)), c_fdisj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14981), tc_fun(tc_List_Olist(_u14981), tc_Nat_Onat), tc_fun(tc_List_Olist(_u14981), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14981), tc_Nat_Onat), tc_fun(tc_List_Olist(_u14981), tc_HOL_Obool)), tc_List_Olist(_u14981)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u14981))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14981)), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u14981))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u14981)))))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u14981), tc_fun(tc_List_Olist(_u14981), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14981), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14981), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u14981), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14981), tc_HOL_Obool)), tc_List_Olist(_u14981)), c_COMBS(tc_List_Olist(_u14981), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14981), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14981), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u14981)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14981)), c_fconj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14981), tc_fun(tc_List_Olist(_u14981), tc_Nat_Onat), tc_fun(tc_List_Olist(_u14981), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14981), tc_Nat_Onat), tc_fun(tc_List_Olist(_u14981), tc_HOL_Obool)), tc_List_Olist(_u14981)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u14981))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14981)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u14981))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u14981)))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14981), tc_fun(tc_prod(tc_List_Olist(_u14981), tc_List_Olist(_u14981)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14981), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14981), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u14981), tc_List_Olist(_u14981)), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u14981), tc_List_Olist(_u14981)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14981), tc_HOL_Obool)), tc_List_Olist(_u14981)), c_COMBC(tc_List_Olist(_u14981), tc_fun(tc_prod(tc_List_Olist(_u14981), tc_List_Olist(_u14981)), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14981), tc_prod(tc_List_Olist(_u14981), tc_List_Olist(_u14981))), tc_fun(tc_List_Olist(_u14981), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u14981), tc_List_Olist(_u14981)), tc_HOL_Obool), tc_HOL_Obool)), tc_List_Olist(_u14981)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u14981), tc_List_Olist(_u14981)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u14981), tc_List_Olist(_u14981)), tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u14981)), c_member(tc_prod(tc_List_Olist(_u14981), tc_List_Olist(_u14981))))), c_Product__Type_OPair(tc_List_Olist(_u14981), tc_List_Olist(_u14981))))), c_List_Olex(_u14981, _u14982))))))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_length__sublist ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_length__sublist-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14983)), c_List_Osublist(_u14983, _u14984, _u14985)) = 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(_u14983)), _u14984)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u14985))))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_lexn_Osimps_I2_J ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_lexn_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Olexn(_u14986, _u14987), hAPP(c_Nat_OSuc, _u14988)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(tc_List_Olist(_u14986), tc_List_Olist(_u14986)), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_prod(tc_prod(_u14986, tc_List_Olist(_u14986)), tc_prod(_u14986, tc_List_Olist(_u14986))), tc_prod(tc_List_Olist(_u14986), tc_List_Olist(_u14986)), c_Product__Type_Omap__pair(tc_prod(_u14986, tc_List_Olist(_u14986)), tc_List_Olist(_u14986), tc_prod(_u14986, tc_List_Olist(_u14986)), tc_List_Olist(_u14986), hAPP(c_Product__Type_Oprod_Oprod__case(_u14986, tc_List_Olist(_u14986), tc_List_Olist(_u14986)), c_List_Olist_OCons(_u14986)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14986, tc_List_Olist(_u14986), tc_List_Olist(_u14986)), c_List_Olist_OCons(_u14986)))), c_Wellfounded_Olex__prod(_u14986, tc_List_Olist(_u14986), _u14987, hAPP(c_List_Olexn(_u14986, _u14987), _u14988)))), hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u14986), tc_List_Olist(_u14986))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u14986), tc_List_Olist(_u14986), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14986), tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool)), tc_List_Olist(_u14986)), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u14986))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14986)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14986), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14986)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u14986)))), hAPP(c_Nat_OSuc, _u14988))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14986), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14986)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u14986)))), hAPP(c_Nat_OSuc, _u14988))))))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_impossible__Cons ( axiom ) converted to clauses:
% 20.36/20.57 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(_u14989)), _u14990)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14989)), _u14991))) | ( _u14990 != hAPP(hAPP(c_List_Olist_OCons(_u14989), _u14992), _u14991)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_not__Cons__self ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_not__Cons__self-1, axiom, ( ( _u14993 != hAPP(hAPP(c_List_Olist_OCons(_u14994), _u14995), _u14993)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_not__Cons__self2 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_not__Cons__self2-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u14996), _u14997), _u14998) != _u14998) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_list_Oinject ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_list_Oinject-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15004), _u15006), _u15008) != hAPP(hAPP(c_List_Olist_OCons(_u15004), _u15010), _u15012)) | ( _u15006 = _u15010) )).
% 20.36/20.57 cnf(fact_list_Oinject-2, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15004), _u15006), _u15008) != hAPP(hAPP(c_List_Olist_OCons(_u15004), _u15010), _u15012)) | ( _u15008 = _u15012) )).
% 20.36/20.57 cnf(fact_list_Oinject-3, axiom, ( ( _u15007 != _u15011) | ( _u15009 != _u15013) | ( hAPP(hAPP(c_List_Olist_OCons(_u15005), _u15007), _u15009) = hAPP(hAPP(c_List_Olist_OCons(_u15005), _u15011), _u15013)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_list_Osize_I4_J ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_list_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15014)), hAPP(hAPP(c_List_Olist_OCons(_u15014), _u15015), _u15016)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15014)), _u15016)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Cons__in__lex ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Cons__in__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15023), tc_List_Olist(_u15023))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15023), tc_List_Olist(_u15023)), hAPP(hAPP(c_List_Olist_OCons(_u15023), _u15025), _u15027)), hAPP(hAPP(c_List_Olist_OCons(_u15023), _u15029), _u15031))), c_List_Olex(_u15023, _u15033))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15023, _u15023)), hAPP(hAPP(c_Product__Type_OPair(_u15023, _u15023), _u15025), _u15029)), _u15033)) | ( _u15025 = _u15029) )).
% 20.36/20.57 cnf(fact_Cons__in__lex-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15023), tc_List_Olist(_u15023))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15023), tc_List_Olist(_u15023)), hAPP(hAPP(c_List_Olist_OCons(_u15023), _u15025), _u15027)), hAPP(hAPP(c_List_Olist_OCons(_u15023), _u15029), _u15031))), c_List_Olex(_u15023, _u15033))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15023, _u15023)), hAPP(hAPP(c_Product__Type_OPair(_u15023, _u15023), _u15025), _u15029)), _u15033)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15023), tc_List_Olist(_u15023))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15023), tc_List_Olist(_u15023)), _u15027), _u15031)), c_List_Olex(_u15023, _u15033))) )).
% 20.36/20.57 cnf(fact_Cons__in__lex-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15023), tc_List_Olist(_u15023))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15023), tc_List_Olist(_u15023)), hAPP(hAPP(c_List_Olist_OCons(_u15023), _u15025), _u15027)), hAPP(hAPP(c_List_Olist_OCons(_u15023), _u15029), _u15031))), c_List_Olex(_u15023, _u15033))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15023)), _u15027) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15023)), _u15031)) | ( _u15025 = _u15029) )).
% 20.36/20.57 cnf(fact_Cons__in__lex-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15023), tc_List_Olist(_u15023))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15023), tc_List_Olist(_u15023)), hAPP(hAPP(c_List_Olist_OCons(_u15023), _u15025), _u15027)), hAPP(hAPP(c_List_Olist_OCons(_u15023), _u15029), _u15031))), c_List_Olex(_u15023, _u15033))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15023)), _u15027) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15023)), _u15031)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15023), tc_List_Olist(_u15023))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15023), tc_List_Olist(_u15023)), _u15027), _u15031)), c_List_Olex(_u15023, _u15033))) )).
% 20.36/20.57 cnf(fact_Cons__in__lex-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15024), tc_List_Olist(_u15024))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15024), tc_List_Olist(_u15024)), hAPP(hAPP(c_List_Olist_OCons(_u15024), _u15026), _u15028)), hAPP(hAPP(c_List_Olist_OCons(_u15024), _u15030), _u15032))), c_List_Olex(_u15024, _u15034))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15024, _u15024)), hAPP(hAPP(c_Product__Type_OPair(_u15024, _u15024), _u15026), _u15030)), _u15034)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15024)), _u15028) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15024)), _u15032)) )).
% 20.36/20.57 cnf(fact_Cons__in__lex-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15024), tc_List_Olist(_u15024))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15024), tc_List_Olist(_u15024)), hAPP(hAPP(c_List_Olist_OCons(_u15024), _u15026), _u15028)), hAPP(hAPP(c_List_Olist_OCons(_u15024), _u15030), _u15032))), c_List_Olex(_u15024, _u15034))) | ( _u15026 != _u15030) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15024), tc_List_Olist(_u15024))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15024), tc_List_Olist(_u15024)), _u15028), _u15032)), c_List_Olex(_u15024, _u15034))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_set__Cons__def ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_set__Cons__def-1, axiom, ( ( c_List_Oset__Cons(_u15035, _u15036, _u15037) = hAPP(c_Set_OCollect(tc_List_Olist(_u15035)), hAPP(hAPP(c_COMBB(tc_fun(_u15035, tc_HOL_Obool), tc_HOL_Obool, tc_List_Olist(_u15035)), c_HOL_OEx(_u15035)), hAPP(hAPP(c_COMBB(tc_fun(_u15035, tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool)), tc_fun(_u15035, tc_HOL_Obool), tc_List_Olist(_u15035)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool), tc_HOL_Obool, _u15035), c_HOL_OEx(tc_List_Olist(_u15035)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15035), tc_fun(_u15035, tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool)), tc_fun(_u15035, tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u15035, tc_fun(tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool))), tc_fun(tc_fun(_u15035, tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool)), tc_fun(_u15035, tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool))), tc_List_Olist(_u15035)), c_COMBS(_u15035, tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u15035, tc_fun(tc_List_Olist(_u15035), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u15035, tc_fun(tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool))), tc_List_Olist(_u15035)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15035), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool)), _u15035), c_COMBS(tc_List_Olist(_u15035), tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u15035, tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool)), tc_fun(_u15035, tc_fun(tc_List_Olist(_u15035), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_List_Olist(_u15035)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15035), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u15035), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15035)), c_fconj))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15035), tc_fun(_u15035, tc_fun(tc_List_Olist(_u15035), tc_List_Olist(_u15035))), tc_fun(_u15035, tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(_u15035), tc_List_Olist(_u15035)), tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool)), tc_fun(tc_fun(_u15035, tc_fun(tc_List_Olist(_u15035), tc_List_Olist(_u15035))), tc_fun(_u15035, tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool))), tc_List_Olist(_u15035)), c_COMBB(tc_fun(tc_List_Olist(_u15035), tc_List_Olist(_u15035)), tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool), _u15035)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u15035), tc_List_Olist(_u15035)), tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool)), tc_List_Olist(_u15035)), c_COMBB(tc_List_Olist(_u15035), tc_HOL_Obool, tc_List_Olist(_u15035))), c_fequal))), c_List_Olist_OCons(_u15035)))))), hAPP(hAPP(c_COMBC(_u15035, tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool)), _u15035), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u15035))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15035), c_fconj), hAPP(hAPP(c_COMBC(_u15035, tc_fun(_u15035, tc_HOL_Obool), tc_HOL_Obool), c_member(_u15035)), _u15036)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15035), tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u15035))), _u15037))))))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_pick_Osimps ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_pick_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u15042), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u15044), _u15046))) | ( hAPP(c_Random_Opick(_u15044, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u15044)), _u15046), _u15048)), _u15042) = hAPP(c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u15044), _u15046)) )).
% 20.36/20.57 cnf(fact_pick_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u15043), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u15045), _u15047))) | ( hAPP(c_Random_Opick(_u15045, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u15045)), _u15047), _u15049)), _u15043) = hAPP(c_Random_Opick(_u15045, _u15049), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u15043), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u15045), _u15047)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_select__weight__cons__zero ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_select__weight__cons__zero-1, axiom, ( ( c_Random_Oselect__weight(_u15050, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u15050)), hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u15050), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), _u15051)), _u15052)) = c_Random_Oselect__weight(_u15050, _u15052)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_lexord__cons__cons ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_lexord__cons__cons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15059), tc_List_Olist(_u15059))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15059), tc_List_Olist(_u15059)), hAPP(hAPP(c_List_Olist_OCons(_u15059), _u15061), _u15063)), hAPP(hAPP(c_List_Olist_OCons(_u15059), _u15065), _u15067))), c_List_Olexord(_u15059, _u15069))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15059, _u15059)), hAPP(hAPP(c_Product__Type_OPair(_u15059, _u15059), _u15061), _u15065)), _u15069)) | ( _u15061 = _u15065) )).
% 20.36/20.57 cnf(fact_lexord__cons__cons-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15059), tc_List_Olist(_u15059))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15059), tc_List_Olist(_u15059)), hAPP(hAPP(c_List_Olist_OCons(_u15059), _u15061), _u15063)), hAPP(hAPP(c_List_Olist_OCons(_u15059), _u15065), _u15067))), c_List_Olexord(_u15059, _u15069))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15059, _u15059)), hAPP(hAPP(c_Product__Type_OPair(_u15059, _u15059), _u15061), _u15065)), _u15069)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15059), tc_List_Olist(_u15059))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15059), tc_List_Olist(_u15059)), _u15063), _u15067)), c_List_Olexord(_u15059, _u15069))) )).
% 20.36/20.57 cnf(fact_lexord__cons__cons-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15060), tc_List_Olist(_u15060))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15060), tc_List_Olist(_u15060)), hAPP(hAPP(c_List_Olist_OCons(_u15060), _u15062), _u15064)), hAPP(hAPP(c_List_Olist_OCons(_u15060), _u15066), _u15068))), c_List_Olexord(_u15060, _u15070))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15060, _u15060)), hAPP(hAPP(c_Product__Type_OPair(_u15060, _u15060), _u15062), _u15066)), _u15070)) )).
% 20.36/20.57 cnf(fact_lexord__cons__cons-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15060), tc_List_Olist(_u15060))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15060), tc_List_Olist(_u15060)), hAPP(hAPP(c_List_Olist_OCons(_u15060), _u15062), _u15064)), hAPP(hAPP(c_List_Olist_OCons(_u15060), _u15066), _u15068))), c_List_Olexord(_u15060, _u15070))) | ( _u15062 != _u15066) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15060), tc_List_Olist(_u15060))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15060), tc_List_Olist(_u15060)), _u15064), _u15068)), c_List_Olexord(_u15060, _u15070))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_lexord__lex ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_lexord__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15075), tc_List_Olist(_u15075))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15075), tc_List_Olist(_u15075)), _u15077), _u15079)), c_List_Olex(_u15075, _u15081))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15075), tc_List_Olist(_u15075))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15075), tc_List_Olist(_u15075)), _u15077), _u15079)), c_List_Olexord(_u15075, _u15081))) )).
% 20.36/20.57 cnf(fact_lexord__lex-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15075), tc_List_Olist(_u15075))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15075), tc_List_Olist(_u15075)), _u15077), _u15079)), c_List_Olex(_u15075, _u15081))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15075)), _u15077) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15075)), _u15079)) )).
% 20.36/20.57 cnf(fact_lexord__lex-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15076), tc_List_Olist(_u15076))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15076), tc_List_Olist(_u15076)), _u15078), _u15080)), c_List_Olexord(_u15076, _u15082))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15076)), _u15078) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15076)), _u15080)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15076), tc_List_Olist(_u15076))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15076), tc_List_Olist(_u15076)), _u15078), _u15080)), c_List_Olex(_u15076, _u15082))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rtrancl__listrel1__ConsI2 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rtrancl__listrel1__ConsI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15083, _u15083)), hAPP(hAPP(c_Product__Type_OPair(_u15083, _u15083), _u15084), _u15085)), c_Transitive__Closure_Ortrancl(_u15083, _u15086))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15083), tc_List_Olist(_u15083))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15083), tc_List_Olist(_u15083)), _u15087), _u15088)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15083), c_List_Olistrel1(_u15083, _u15086)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15083), tc_List_Olist(_u15083))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15083), tc_List_Olist(_u15083)), hAPP(hAPP(c_List_Olist_OCons(_u15083), _u15084), _u15087)), hAPP(hAPP(c_List_Olist_OCons(_u15083), _u15085), _u15088))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15083), c_List_Olistrel1(_u15083, _u15086)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_list_Osize_I2_J ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_list_Osize_I2_J-1, axiom, ( ( c_List_Olist_Olist__size(_u15089, _u15090, hAPP(hAPP(c_List_Olist_OCons(_u15089), _u15091), _u15092)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u15090, _u15091)), c_List_Olist_Olist__size(_u15089, _u15090, _u15092))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Cons__acc__listrel1I ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Cons__acc__listrel1I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15093), _u15094), c_Wellfounded_Oacc(_u15093, _u15095))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15093)), _u15096), c_Wellfounded_Oacc(tc_List_Olist(_u15093), c_List_Olistrel1(_u15093, _u15095)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15093)), hAPP(hAPP(c_List_Olist_OCons(_u15093), _u15094), _u15096)), c_Wellfounded_Oacc(tc_List_Olist(_u15093), c_List_Olistrel1(_u15093, _u15095)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_listrel1__rtrancl__subset__rtrancl__listrel1 ( axiom ) converted to clauses:
% 20.36/20.57 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(_u15097), tc_List_Olist(_u15097)), tc_HOL_Obool)), c_List_Olistrel1(_u15097, c_Transitive__Closure_Ortrancl(_u15097, _u15098))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15097), c_List_Olistrel1(_u15097, _u15098)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_listrel1__converse ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_listrel1__converse-1, axiom, ( ( c_List_Olistrel1(_u15099, hAPP(c_Relation_Oconverse(_u15099, _u15099), _u15100)) = hAPP(c_Relation_Oconverse(tc_List_Olist(_u15099), tc_List_Olist(_u15099)), c_List_Olistrel1(_u15099, _u15100))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_listrel1__mono ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_listrel1__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15101, _u15101), tc_HOL_Obool)), _u15102), _u15103)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15101), tc_List_Olist(_u15101)), tc_HOL_Obool)), c_List_Olistrel1(_u15101, _u15102)), c_List_Olistrel1(_u15101, _u15103))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_listrel1I2 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_listrel1I2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15104), tc_List_Olist(_u15104))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15104), tc_List_Olist(_u15104)), _u15105), _u15106)), c_List_Olistrel1(_u15104, _u15107))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15104), tc_List_Olist(_u15104))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15104), tc_List_Olist(_u15104)), hAPP(hAPP(c_List_Olist_OCons(_u15104), _u15108), _u15105)), hAPP(hAPP(c_List_Olist_OCons(_u15104), _u15108), _u15106))), c_List_Olistrel1(_u15104, _u15107))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rtrancl__listrel1__ConsI1 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rtrancl__listrel1__ConsI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15109), tc_List_Olist(_u15109))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15109), tc_List_Olist(_u15109)), _u15110), _u15111)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15109), c_List_Olistrel1(_u15109, _u15112)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15109), tc_List_Olist(_u15109))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15109), tc_List_Olist(_u15109)), hAPP(hAPP(c_List_Olist_OCons(_u15109), _u15113), _u15110)), hAPP(hAPP(c_List_Olist_OCons(_u15109), _u15113), _u15111))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15109), c_List_Olistrel1(_u15109, _u15112)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_listrel1__eq__len ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_listrel1__eq__len-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15114), tc_List_Olist(_u15114))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15114), tc_List_Olist(_u15114)), _u15115), _u15116)), c_List_Olistrel1(_u15114, _u15117))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15114)), _u15115) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15114)), _u15116)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rtrancl__listrel1__eq__len ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rtrancl__listrel1__eq__len-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15118), tc_List_Olist(_u15118))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15118), tc_List_Olist(_u15118)), _u15119), _u15120)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15118), c_List_Olistrel1(_u15118, _u15121)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15118)), _u15119) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15118)), _u15120)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_in__listrel1__converse ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_in__listrel1__converse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15126), tc_List_Olist(_u15126))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15126), tc_List_Olist(_u15126)), _u15128), _u15130)), c_List_Olistrel1(_u15126, hAPP(c_Relation_Oconverse(_u15126, _u15126), _u15132)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15126), tc_List_Olist(_u15126))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15126), tc_List_Olist(_u15126)), _u15128), _u15130)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u15126), tc_List_Olist(_u15126)), c_List_Olistrel1(_u15126, _u15132)))) )).
% 20.36/20.57 cnf(fact_in__listrel1__converse-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15127), tc_List_Olist(_u15127))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15127), tc_List_Olist(_u15127)), _u15129), _u15131)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u15127), tc_List_Olist(_u15127)), c_List_Olistrel1(_u15127, _u15133)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15127), tc_List_Olist(_u15127))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15127), tc_List_Olist(_u15127)), _u15129), _u15131)), c_List_Olistrel1(_u15127, hAPP(c_Relation_Oconverse(_u15127, _u15127), _u15133)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_listrel1I1 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_listrel1I1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15134, _u15134)), hAPP(hAPP(c_Product__Type_OPair(_u15134, _u15134), _u15135), _u15136)), _u15137)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15134), tc_List_Olist(_u15134))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15134), tc_List_Olist(_u15134)), hAPP(hAPP(c_List_Olist_OCons(_u15134), _u15135), _u15138)), hAPP(hAPP(c_List_Olist_OCons(_u15134), _u15136), _u15138))), c_List_Olistrel1(_u15134, _u15137))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Cons__listrel1__Cons ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Cons__listrel1__Cons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15145), tc_List_Olist(_u15145))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15145), tc_List_Olist(_u15145)), hAPP(hAPP(c_List_Olist_OCons(_u15145), _u15147), _u15149)), hAPP(hAPP(c_List_Olist_OCons(_u15145), _u15151), _u15153))), c_List_Olistrel1(_u15145, _u15155))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15145, _u15145)), hAPP(hAPP(c_Product__Type_OPair(_u15145, _u15145), _u15147), _u15151)), _u15155)) | ( _u15147 = _u15151) )).
% 20.36/20.57 cnf(fact_Cons__listrel1__Cons-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15145), tc_List_Olist(_u15145))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15145), tc_List_Olist(_u15145)), hAPP(hAPP(c_List_Olist_OCons(_u15145), _u15147), _u15149)), hAPP(hAPP(c_List_Olist_OCons(_u15145), _u15151), _u15153))), c_List_Olistrel1(_u15145, _u15155))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15145, _u15145)), hAPP(hAPP(c_Product__Type_OPair(_u15145, _u15145), _u15147), _u15151)), _u15155)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15145), tc_List_Olist(_u15145))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15145), tc_List_Olist(_u15145)), _u15149), _u15153)), c_List_Olistrel1(_u15145, _u15155))) )).
% 20.36/20.57 cnf(fact_Cons__listrel1__Cons-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15145), tc_List_Olist(_u15145))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15145), tc_List_Olist(_u15145)), hAPP(hAPP(c_List_Olist_OCons(_u15145), _u15147), _u15149)), hAPP(hAPP(c_List_Olist_OCons(_u15145), _u15151), _u15153))), c_List_Olistrel1(_u15145, _u15155))) | ( _u15149 = _u15153) | ( _u15147 = _u15151) )).
% 20.36/20.57 cnf(fact_Cons__listrel1__Cons-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15145), tc_List_Olist(_u15145))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15145), tc_List_Olist(_u15145)), hAPP(hAPP(c_List_Olist_OCons(_u15145), _u15147), _u15149)), hAPP(hAPP(c_List_Olist_OCons(_u15145), _u15151), _u15153))), c_List_Olistrel1(_u15145, _u15155))) | ( _u15149 = _u15153) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15145), tc_List_Olist(_u15145))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15145), tc_List_Olist(_u15145)), _u15149), _u15153)), c_List_Olistrel1(_u15145, _u15155))) )).
% 20.36/20.57 cnf(fact_Cons__listrel1__Cons-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15146), tc_List_Olist(_u15146))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15146), tc_List_Olist(_u15146)), hAPP(hAPP(c_List_Olist_OCons(_u15146), _u15148), _u15150)), hAPP(hAPP(c_List_Olist_OCons(_u15146), _u15152), _u15154))), c_List_Olistrel1(_u15146, _u15156))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15146, _u15146)), hAPP(hAPP(c_Product__Type_OPair(_u15146, _u15146), _u15148), _u15152)), _u15156)) | ( _u15150 != _u15154) )).
% 20.36/20.57 cnf(fact_Cons__listrel1__Cons-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15146), tc_List_Olist(_u15146))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15146), tc_List_Olist(_u15146)), hAPP(hAPP(c_List_Olist_OCons(_u15146), _u15148), _u15150)), hAPP(hAPP(c_List_Olist_OCons(_u15146), _u15152), _u15154))), c_List_Olistrel1(_u15146, _u15156))) | ( _u15148 != _u15152) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15146), tc_List_Olist(_u15146))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15146), tc_List_Olist(_u15146)), _u15150), _u15154)), c_List_Olistrel1(_u15146, _u15156))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_listrel__Cons ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_listrel__Cons-1, axiom, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u15157), tc_List_Olist(_u15157), c_List_Olistrel(_u15157, _u15158)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15157)), hAPP(hAPP(c_List_Olist_OCons(_u15157), _u15159), _u15160)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15157), tc_HOL_Obool)))) = c_List_Oset__Cons(_u15157, hAPP(c_Relation_OImage(_u15157, _u15157, _u15158), hAPP(hAPP(c_Set_Oinsert(_u15157), _u15159), c_Orderings_Obot__class_Obot(tc_fun(_u15157, tc_HOL_Obool)))), hAPP(c_Relation_OImage(tc_List_Olist(_u15157), tc_List_Olist(_u15157), c_List_Olistrel(_u15157, _u15158)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15157)), _u15160), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15157), tc_HOL_Obool)))))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_lexord__irreflexive ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_lexord__irreflexive-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15162, _u15162)), hAPP(hAPP(c_Product__Type_OPair(_u15162, _u15162), skolem399(_u15164, _u15163, _u15162)), skolem399(_u15164, _u15163, _u15162))), _u15163)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15162), tc_List_Olist(_u15162))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15162), tc_List_Olist(_u15162)), _u15164), _u15164)), c_List_Olexord(_u15162, _u15163))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_listrel__rtrancl__refl ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_listrel__rtrancl__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15165), tc_List_Olist(_u15165))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15165), tc_List_Olist(_u15165)), _u15166), _u15166)), c_List_Olistrel(_u15165, c_Transitive__Closure_Ortrancl(_u15165, _u15167)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_listrel__mono ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_listrel__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15168, _u15168), tc_HOL_Obool)), _u15169), _u15170)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15168), tc_List_Olist(_u15168)), tc_HOL_Obool)), c_List_Olistrel(_u15168, _u15169)), c_List_Olistrel(_u15168, _u15170))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_listrel__subset__rtrancl__listrel1 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_listrel__subset__rtrancl__listrel1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15171), tc_List_Olist(_u15171)), tc_HOL_Obool)), c_List_Olistrel(_u15171, _u15172)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15171), c_List_Olistrel1(_u15171, _u15172)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_listrel__eq__len ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_listrel__eq__len-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15173), tc_List_Olist(_u15173))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15173), tc_List_Olist(_u15173)), _u15174), _u15175)), c_List_Olistrel(_u15173, _u15176))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15173)), _u15174) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15173)), _u15175)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_listrel__rtrancl__trans ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_listrel__rtrancl__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15177), tc_List_Olist(_u15177))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15177), tc_List_Olist(_u15177)), _u15178), _u15179)), c_List_Olistrel(_u15177, c_Transitive__Closure_Ortrancl(_u15177, _u15180)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15177), tc_List_Olist(_u15177))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15177), tc_List_Olist(_u15177)), _u15179), _u15181)), c_List_Olistrel(_u15177, c_Transitive__Closure_Ortrancl(_u15177, _u15180)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15177), tc_List_Olist(_u15177))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15177), tc_List_Olist(_u15177)), _u15178), _u15181)), c_List_Olistrel(_u15177, c_Transitive__Closure_Ortrancl(_u15177, _u15180)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_listrel__rtrancl__eq__rtrancl__listrel1 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_listrel__rtrancl__eq__rtrancl__listrel1-1, axiom, ( ( c_List_Olistrel(_u15182, c_Transitive__Closure_Ortrancl(_u15182, _u15183)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15182), c_List_Olistrel1(_u15182, _u15183))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_listrel__reflcl__if__listrel1 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_listrel__reflcl__if__listrel1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15184), tc_List_Olist(_u15184))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15184), tc_List_Olist(_u15184)), _u15185), _u15186)), c_List_Olistrel1(_u15184, _u15187))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15184), tc_List_Olist(_u15184))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15184), tc_List_Olist(_u15184)), _u15185), _u15186)), c_List_Olistrel(_u15184, c_Transitive__Closure_Ortrancl(_u15184, _u15187)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_listrel1__subset__listrel ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_listrel1__subset__listrel-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15188, _u15188), tc_HOL_Obool)), _u15189), _u15190)) | ~c_Relation_Orefl__on(_u15188, c_Orderings_Otop__class_Otop(tc_fun(_u15188, tc_HOL_Obool)), _u15190) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15188), tc_List_Olist(_u15188)), tc_HOL_Obool)), c_List_Olistrel1(_u15188, _u15189)), c_List_Olistrel(_u15188, _u15190))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rtrancl__listrel1__if__listrel ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rtrancl__listrel1__if__listrel-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15191), tc_List_Olist(_u15191))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15191), tc_List_Olist(_u15191)), _u15192), _u15193)), c_List_Olistrel(_u15191, _u15194))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15191), tc_List_Olist(_u15191))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15191), tc_List_Olist(_u15191)), _u15192), _u15193)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15191), c_List_Olistrel1(_u15191, _u15194)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_listrel_OCons ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_listrel_OCons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15195, _u15195)), hAPP(hAPP(c_Product__Type_OPair(_u15195, _u15195), _u15196), _u15197)), _u15198)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15195), tc_List_Olist(_u15195))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15195), tc_List_Olist(_u15195)), _u15199), _u15200)), c_List_Olistrel(_u15195, _u15198))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15195), tc_List_Olist(_u15195))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15195), tc_List_Olist(_u15195)), hAPP(hAPP(c_List_Olist_OCons(_u15195), _u15196), _u15199)), hAPP(hAPP(c_List_Olist_OCons(_u15195), _u15197), _u15200))), c_List_Olistrel(_u15195, _u15198))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_listrelp__listrel__eq ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_listrelp__listrel__eq-1, axiom, ( ~c_List_Olistrelp(_u15205, hAPP(hAPP(c_COMBC(_u15205, tc_fun(tc_prod(_u15205, _u15205), tc_HOL_Obool), tc_fun(_u15205, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15205, tc_fun(tc_fun(tc_prod(_u15205, _u15205), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15205, _u15205), tc_HOL_Obool), tc_fun(_u15205, tc_HOL_Obool)), _u15205), c_COMBC(_u15205, tc_fun(tc_prod(_u15205, _u15205), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15205, tc_prod(_u15205, _u15205)), tc_fun(_u15205, tc_fun(tc_fun(tc_prod(_u15205, _u15205), tc_HOL_Obool), tc_HOL_Obool)), _u15205), hAPP(c_COMBB(tc_prod(_u15205, _u15205), tc_fun(tc_fun(tc_prod(_u15205, _u15205), tc_HOL_Obool), tc_HOL_Obool), _u15205), c_member(tc_prod(_u15205, _u15205)))), c_Product__Type_OPair(_u15205, _u15205)))), _u15207), _u15209, _u15211) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15205), tc_List_Olist(_u15205))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15205), tc_List_Olist(_u15205)), _u15209), _u15211)), c_List_Olistrel(_u15205, _u15207))) )).
% 20.36/20.57 cnf(fact_listrelp__listrel__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15206), tc_List_Olist(_u15206))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15206), tc_List_Olist(_u15206)), _u15210), _u15212)), c_List_Olistrel(_u15206, _u15208))) | c_List_Olistrelp(_u15206, hAPP(hAPP(c_COMBC(_u15206, tc_fun(tc_prod(_u15206, _u15206), tc_HOL_Obool), tc_fun(_u15206, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15206, tc_fun(tc_fun(tc_prod(_u15206, _u15206), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15206, _u15206), tc_HOL_Obool), tc_fun(_u15206, tc_HOL_Obool)), _u15206), c_COMBC(_u15206, tc_fun(tc_prod(_u15206, _u15206), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15206, tc_prod(_u15206, _u15206)), tc_fun(_u15206, tc_fun(tc_fun(tc_prod(_u15206, _u15206), tc_HOL_Obool), tc_HOL_Obool)), _u15206), hAPP(c_COMBB(tc_prod(_u15206, _u15206), tc_fun(tc_fun(tc_prod(_u15206, _u15206), tc_HOL_Obool), tc_HOL_Obool), _u15206), c_member(tc_prod(_u15206, _u15206)))), c_Product__Type_OPair(_u15206, _u15206)))), _u15208), _u15210, _u15212) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_listrel__Cons2 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_listrel__Cons2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15215), tc_List_Olist(_u15215))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15215), tc_List_Olist(_u15215)), _u15216), hAPP(hAPP(c_List_Olist_OCons(_u15215), _u15217), _u15218))), c_List_Olistrel(_u15215, _u15219))) | ( _u15216 = hAPP(hAPP(c_List_Olist_OCons(_u15215), skolem400(_u15219, _u15218, _u15217, _u15216, _u15215)), skolem401(_u15219, _u15218, _u15217, _u15216, _u15215))) )).
% 20.36/20.57 cnf(fact_listrel__Cons2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15215), tc_List_Olist(_u15215))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15215), tc_List_Olist(_u15215)), _u15216), hAPP(hAPP(c_List_Olist_OCons(_u15215), _u15217), _u15218))), c_List_Olistrel(_u15215, _u15219))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15215, _u15215)), hAPP(hAPP(c_Product__Type_OPair(_u15215, _u15215), skolem400(_u15219, _u15218, _u15217, _u15216, _u15215)), _u15217)), _u15219)) )).
% 20.36/20.57 cnf(fact_listrel__Cons2-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15215), tc_List_Olist(_u15215))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15215), tc_List_Olist(_u15215)), _u15216), hAPP(hAPP(c_List_Olist_OCons(_u15215), _u15217), _u15218))), c_List_Olistrel(_u15215, _u15219))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15215), tc_List_Olist(_u15215))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15215), tc_List_Olist(_u15215)), skolem401(_u15219, _u15218, _u15217, _u15216, _u15215)), _u15218)), c_List_Olistrel(_u15215, _u15219))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_listrelp_OCons ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_listrelp_OCons-1, axiom, ( ~hBOOL(hAPP(hAPP(_u15220, _u15221), _u15222)) | ~c_List_Olistrelp(_u15223, _u15220, _u15224, _u15225) | c_List_Olistrelp(_u15223, _u15220, hAPP(hAPP(c_List_Olist_OCons(_u15223), _u15221), _u15224), hAPP(hAPP(c_List_Olist_OCons(_u15223), _u15222), _u15225)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_listrelp_Oequations_I2_J ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_listrelp_Oequations_I2_J-1, axiom, ( ~c_List_Olistrelp(_u15232, _u15234, hAPP(hAPP(c_List_Olist_OCons(_u15232), _u15236), _u15238), hAPP(hAPP(c_List_Olist_OCons(_u15232), _u15240), _u15242)) | hBOOL(hAPP(hAPP(_u15234, _u15236), _u15240)) )).
% 20.36/20.57 cnf(fact_listrelp_Oequations_I2_J-2, axiom, ( ~c_List_Olistrelp(_u15232, _u15234, hAPP(hAPP(c_List_Olist_OCons(_u15232), _u15236), _u15238), hAPP(hAPP(c_List_Olist_OCons(_u15232), _u15240), _u15242)) | c_List_Olistrelp(_u15232, _u15234, _u15238, _u15242) )).
% 20.36/20.57 cnf(fact_listrelp_Oequations_I2_J-3, axiom, ( ~hBOOL(hAPP(hAPP(_u15235, _u15237), _u15241)) | ~c_List_Olistrelp(_u15233, _u15235, _u15239, _u15243) | c_List_Olistrelp(_u15233, _u15235, hAPP(hAPP(c_List_Olist_OCons(_u15233), _u15237), _u15239), hAPP(hAPP(c_List_Olist_OCons(_u15233), _u15241), _u15243)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_listrel__Cons1 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_listrel__Cons1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15246), tc_List_Olist(_u15246))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15246), tc_List_Olist(_u15246)), hAPP(hAPP(c_List_Olist_OCons(_u15246), _u15247), _u15248)), _u15249)), c_List_Olistrel(_u15246, _u15250))) | ( _u15249 = hAPP(hAPP(c_List_Olist_OCons(_u15246), skolem402(_u15250, _u15249, _u15248, _u15247, _u15246)), skolem403(_u15250, _u15249, _u15248, _u15247, _u15246))) )).
% 20.36/20.57 cnf(fact_listrel__Cons1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15246), tc_List_Olist(_u15246))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15246), tc_List_Olist(_u15246)), hAPP(hAPP(c_List_Olist_OCons(_u15246), _u15247), _u15248)), _u15249)), c_List_Olistrel(_u15246, _u15250))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15246, _u15246)), hAPP(hAPP(c_Product__Type_OPair(_u15246, _u15246), _u15247), skolem402(_u15250, _u15249, _u15248, _u15247, _u15246))), _u15250)) )).
% 20.36/20.57 cnf(fact_listrel__Cons1-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15246), tc_List_Olist(_u15246))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15246), tc_List_Olist(_u15246)), hAPP(hAPP(c_List_Olist_OCons(_u15246), _u15247), _u15248)), _u15249)), c_List_Olistrel(_u15246, _u15250))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15246), tc_List_Olist(_u15246))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15246), tc_List_Olist(_u15246)), _u15248), skolem403(_u15250, _u15249, _u15248, _u15247, _u15246))), c_List_Olistrel(_u15246, _u15250))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_listrel__subset ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_listrel__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15251, _u15251), tc_HOL_Obool)), _u15252), hAPP(hAPP(c_Product__Type_OSigma(_u15251, _u15251), _u15253), hAPP(c_COMBK(tc_fun(_u15251, tc_HOL_Obool), _u15251), _u15253)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15251), tc_List_Olist(_u15251)), tc_HOL_Obool)), c_List_Olistrel(_u15251, _u15252)), hAPP(hAPP(c_Product__Type_OSigma(tc_List_Olist(_u15251), tc_List_Olist(_u15251)), c_List_Olists(_u15251, _u15253)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u15251), tc_HOL_Obool), tc_List_Olist(_u15251)), c_List_Olists(_u15251, _u15253))))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_lists__UNIV ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_lists__UNIV-1, axiom, ( ( c_List_Olists(_u15254, c_Orderings_Otop__class_Otop(tc_fun(_u15254, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u15254), tc_HOL_Obool))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_lists__mono ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_lists__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15255, tc_HOL_Obool)), _u15256), _u15257)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(_u15255), tc_HOL_Obool)), c_List_Olists(_u15255, _u15256)), c_List_Olists(_u15255, _u15257))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_equiv__listrel ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_equiv__listrel-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u15258, _u15259, _u15260) | c_Equiv__Relations_Oequiv(tc_List_Olist(_u15258), c_List_Olists(_u15258, _u15259), c_List_Olistrel(_u15258, _u15260)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_listrel__refl__on ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_listrel__refl__on-1, axiom, ( ~c_Relation_Orefl__on(_u15261, _u15262, _u15263) | c_Relation_Orefl__on(tc_List_Olist(_u15261), c_List_Olists(_u15261, _u15262), c_List_Olistrel(_u15261, _u15263)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Cons__in__lists__iff ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Cons__in__lists__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15268)), hAPP(hAPP(c_List_Olist_OCons(_u15268), _u15270), _u15272)), c_List_Olists(_u15268, _u15274))) | hBOOL(hAPP(hAPP(c_member(_u15268), _u15270), _u15274)) )).
% 20.36/20.57 cnf(fact_Cons__in__lists__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15268)), hAPP(hAPP(c_List_Olist_OCons(_u15268), _u15270), _u15272)), c_List_Olists(_u15268, _u15274))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15268)), _u15272), c_List_Olists(_u15268, _u15274))) )).
% 20.36/20.57 cnf(fact_Cons__in__lists__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15269), _u15271), _u15275)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15269)), _u15273), c_List_Olists(_u15269, _u15275))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15269)), hAPP(hAPP(c_List_Olist_OCons(_u15269), _u15271), _u15273)), c_List_Olists(_u15269, _u15275))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_lists__accI ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_lists__accI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15276)), _u15277), c_Wellfounded_Oacc(tc_List_Olist(_u15276), c_List_Olistrel1(_u15276, _u15278)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15276)), _u15277), c_List_Olists(_u15276, c_Wellfounded_Oacc(_u15276, _u15278)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_lists__accD ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_lists__accD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15279)), _u15280), c_List_Olists(_u15279, c_Wellfounded_Oacc(_u15279, _u15281)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15279)), _u15280), c_Wellfounded_Oacc(tc_List_Olist(_u15279), c_List_Olistrel1(_u15279, _u15281)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_listrel__iff__nth ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_listrel__iff__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15288), tc_List_Olist(_u15288))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15288), tc_List_Olist(_u15288)), _u15290), _u15292)), c_List_Olistrel(_u15288, _u15294))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15288)), _u15290) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15288)), _u15292)) )).
% 20.36/20.57 cnf(fact_listrel__iff__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15288), tc_List_Olist(_u15288))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15288), tc_List_Olist(_u15288)), _u15290), _u15292)), c_List_Olistrel(_u15288, _u15294))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15282), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15288)), _u15290))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15288, _u15288)), hAPP(hAPP(c_Product__Type_OPair(_u15288, _u15288), hAPP(hAPP(c_List_Onth(_u15288), _u15290), _u15282)), hAPP(hAPP(c_List_Onth(_u15288), _u15292), _u15282))), _u15294)) )).
% 20.36/20.57 cnf(fact_listrel__iff__nth-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15289), tc_List_Olist(_u15289))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15289), tc_List_Olist(_u15289)), _u15291), _u15293)), c_List_Olistrel(_u15289, _u15295))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15289)), _u15291) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15289)), _u15293)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem404(_u15295, _u15293, _u15291, _u15289)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15289)), _u15291))) )).
% 20.36/20.57 cnf(fact_listrel__iff__nth-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15289), tc_List_Olist(_u15289))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15289), tc_List_Olist(_u15289)), _u15291), _u15293)), c_List_Olistrel(_u15289, _u15295))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15289)), _u15291) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15289)), _u15293)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15289, _u15289)), hAPP(hAPP(c_Product__Type_OPair(_u15289, _u15289), hAPP(hAPP(c_List_Onth(_u15289), _u15291), skolem404(_u15295, _u15293, _u15291, _u15289))), hAPP(hAPP(c_List_Onth(_u15289), _u15293), skolem404(_u15295, _u15293, _u15291, _u15289)))), _u15295)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_lexord__linear ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_lexord__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15298), tc_List_Olist(_u15298))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15298), tc_List_Olist(_u15298)), _u15300), _u15301)), c_List_Olexord(_u15298, _u15299))) | ( _u15300 = _u15301) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15298), tc_List_Olist(_u15298))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15298), tc_List_Olist(_u15298)), _u15301), _u15300)), c_List_Olexord(_u15298, _u15299))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15298, _u15298)), hAPP(hAPP(c_Product__Type_OPair(_u15298, _u15298), skolem405(_u15301, _u15300, _u15299, _u15298)), skolem406(_u15301, _u15300, _u15299, _u15298))), _u15299)) )).
% 20.36/20.57 cnf(fact_lexord__linear-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15298), tc_List_Olist(_u15298))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15298), tc_List_Olist(_u15298)), _u15300), _u15301)), c_List_Olexord(_u15298, _u15299))) | ( _u15300 = _u15301) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15298), tc_List_Olist(_u15298))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15298), tc_List_Olist(_u15298)), _u15301), _u15300)), c_List_Olexord(_u15298, _u15299))) | ( skolem405(_u15301, _u15300, _u15299, _u15298) != skolem406(_u15301, _u15300, _u15299, _u15298)) )).
% 20.36/20.57 cnf(fact_lexord__linear-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15298), tc_List_Olist(_u15298))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15298), tc_List_Olist(_u15298)), _u15300), _u15301)), c_List_Olexord(_u15298, _u15299))) | ( _u15300 = _u15301) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15298), tc_List_Olist(_u15298))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15298), tc_List_Olist(_u15298)), _u15301), _u15300)), c_List_Olexord(_u15298, _u15299))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15298, _u15298)), hAPP(hAPP(c_Product__Type_OPair(_u15298, _u15298), skolem406(_u15301, _u15300, _u15299, _u15298)), skolem405(_u15301, _u15300, _u15299, _u15298))), _u15299)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_infinite__UNIV__listI ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_infinite__UNIV__listI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u15302)), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u15302), tc_HOL_Obool)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_list__eq__iff__nth__eq ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_list__eq__iff__nth__eq-1, axiom, ( ( _u15308 != _u15310) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15312)), _u15308) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15312)), _u15310)) )).
% 20.36/20.57 cnf(fact_list__eq__iff__nth__eq-2, axiom, ( ( _u15308 != _u15310) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15303), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15312)), _u15308))) | ( hAPP(hAPP(c_List_Onth(_u15312), _u15308), _u15303) = hAPP(hAPP(c_List_Onth(_u15312), _u15310), _u15303)) )).
% 20.36/20.57 cnf(fact_list__eq__iff__nth__eq-3, axiom, ( ( _u15309 = _u15311) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15313)), _u15309) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15313)), _u15311)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem407(_u15313, _u15311, _u15309)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15313)), _u15309))) )).
% 20.36/20.57 cnf(fact_list__eq__iff__nth__eq-4, axiom, ( ( _u15309 = _u15311) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15313)), _u15309) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15313)), _u15311)) | ( hAPP(hAPP(c_List_Onth(_u15313), _u15309), skolem407(_u15313, _u15311, _u15309)) != hAPP(hAPP(c_List_Onth(_u15313), _u15311), skolem407(_u15313, _u15311, _u15309))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_nth__Cons__0 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_nth__Cons__0-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u15314), hAPP(hAPP(c_List_Olist_OCons(_u15314), _u15315), _u15316)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u15315) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_nth__Cons__Suc ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_nth__Cons__Suc-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u15317), hAPP(hAPP(c_List_Olist_OCons(_u15317), _u15318), _u15319)), hAPP(c_Nat_OSuc, _u15320)) = hAPP(hAPP(c_List_Onth(_u15317), _u15319), _u15320)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_nth_Osimps ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_nth_Osimps-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u15321), hAPP(hAPP(c_List_Olist_OCons(_u15321), _u15322), _u15323)), _u15324) = c_Nat_Onat_Onat__case(_u15321, _u15322, hAPP(c_List_Onth(_u15321), _u15323), _u15324)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_nth__Cons_H ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_nth__Cons_H-1, axiom, ( ( _u15329 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15331), hAPP(hAPP(c_List_Olist_OCons(_u15331), _u15333), _u15335)), _u15329) = _u15333) )).
% 20.36/20.57 cnf(fact_nth__Cons_H-2, axiom, ( ( _u15330 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15332), hAPP(hAPP(c_List_Olist_OCons(_u15332), _u15334), _u15336)), _u15330) = hAPP(hAPP(c_List_Onth(_u15332), _u15336), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u15330), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_nth__Cons__number__of ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_nth__Cons__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15341) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15343), hAPP(hAPP(c_List_Olist_OCons(_u15343), _u15345), _u15347)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15341)) = _u15345) )).
% 20.36/20.57 cnf(fact_nth__Cons__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15342) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15344), hAPP(hAPP(c_List_Olist_OCons(_u15344), _u15346), _u15348)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15342)) = hAPP(hAPP(c_List_Onth(_u15344), _u15348), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15342)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_lexord__take__index__conv ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_lexord__take__index__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15355), tc_List_Olist(_u15355))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15355), tc_List_Olist(_u15355)), _u15357), _u15359)), c_List_Olexord(_u15355, _u15361))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15355)), _u15357)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15355)), _u15359))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem408(_u15361, _u15359, _u15357, _u15355)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15355)), _u15357)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15355)), _u15359)))) )).
% 20.36/20.57 cnf(fact_lexord__take__index__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15355), tc_List_Olist(_u15355))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15355), tc_List_Olist(_u15355)), _u15357), _u15359)), c_List_Olexord(_u15355, _u15361))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15355)), _u15357)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15355)), _u15359))) | ( hAPP(hAPP(c_List_Otake(_u15355), skolem408(_u15361, _u15359, _u15357, _u15355)), _u15357) = hAPP(hAPP(c_List_Otake(_u15355), skolem408(_u15361, _u15359, _u15357, _u15355)), _u15359)) )).
% 20.36/20.57 cnf(fact_lexord__take__index__conv-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15355), tc_List_Olist(_u15355))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15355), tc_List_Olist(_u15355)), _u15357), _u15359)), c_List_Olexord(_u15355, _u15361))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15355)), _u15357)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15355)), _u15359))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15355, _u15355)), hAPP(hAPP(c_Product__Type_OPair(_u15355, _u15355), hAPP(hAPP(c_List_Onth(_u15355), _u15357), skolem408(_u15361, _u15359, _u15357, _u15355))), hAPP(hAPP(c_List_Onth(_u15355), _u15359), skolem408(_u15361, _u15359, _u15357, _u15355)))), _u15361)) )).
% 20.36/20.57 cnf(fact_lexord__take__index__conv-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15355), tc_List_Olist(_u15355))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15355), tc_List_Olist(_u15355)), _u15357), _u15359)), c_List_Olexord(_u15355, _u15361))) | ( hAPP(hAPP(c_List_Otake(_u15355), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15355)), _u15357)), _u15359) = _u15357) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem408(_u15361, _u15359, _u15357, _u15355)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15355)), _u15357)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15355)), _u15359)))) )).
% 20.36/20.57 cnf(fact_lexord__take__index__conv-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15355), tc_List_Olist(_u15355))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15355), tc_List_Olist(_u15355)), _u15357), _u15359)), c_List_Olexord(_u15355, _u15361))) | ( hAPP(hAPP(c_List_Otake(_u15355), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15355)), _u15357)), _u15359) = _u15357) | ( hAPP(hAPP(c_List_Otake(_u15355), skolem408(_u15361, _u15359, _u15357, _u15355)), _u15357) = hAPP(hAPP(c_List_Otake(_u15355), skolem408(_u15361, _u15359, _u15357, _u15355)), _u15359)) )).
% 20.36/20.57 cnf(fact_lexord__take__index__conv-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15355), tc_List_Olist(_u15355))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15355), tc_List_Olist(_u15355)), _u15357), _u15359)), c_List_Olexord(_u15355, _u15361))) | ( hAPP(hAPP(c_List_Otake(_u15355), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15355)), _u15357)), _u15359) = _u15357) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15355, _u15355)), hAPP(hAPP(c_Product__Type_OPair(_u15355, _u15355), hAPP(hAPP(c_List_Onth(_u15355), _u15357), skolem408(_u15361, _u15359, _u15357, _u15355))), hAPP(hAPP(c_List_Onth(_u15355), _u15359), skolem408(_u15361, _u15359, _u15357, _u15355)))), _u15361)) )).
% 20.36/20.57 cnf(fact_lexord__take__index__conv-7, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15356), tc_List_Olist(_u15356))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15356), tc_List_Olist(_u15356)), _u15358), _u15360)), c_List_Olexord(_u15356, _u15362))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15356)), _u15358)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15356)), _u15360))) | ( hAPP(hAPP(c_List_Otake(_u15356), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15356)), _u15358)), _u15360) != _u15358) )).
% 20.36/20.57 cnf(fact_lexord__take__index__conv-8, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15356), tc_List_Olist(_u15356))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15356), tc_List_Olist(_u15356)), _u15358), _u15360)), c_List_Olexord(_u15356, _u15362))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15350), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15356)), _u15358)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15356)), _u15360)))) | ( hAPP(hAPP(c_List_Otake(_u15356), _u15350), _u15358) != hAPP(hAPP(c_List_Otake(_u15356), _u15350), _u15360)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15356, _u15356)), hAPP(hAPP(c_Product__Type_OPair(_u15356, _u15356), hAPP(hAPP(c_List_Onth(_u15356), _u15358), _u15350)), hAPP(hAPP(c_List_Onth(_u15356), _u15360), _u15350))), _u15362)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_set__sublist ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_set__sublist-1, axiom, ( ( hAPP(c_List_Oset(_u15363), c_List_Osublist(_u15363, _u15364, _u15365)) = hAPP(c_Set_OCollect(_u15363), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u15363), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u15363, 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)), _u15363), 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)), _u15363), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u15363, tc_fun(tc_Nat_Onat, _u15363), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15363, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u15363), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u15363), c_COMBB(_u15363, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u15363), _u15364))))), 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(_u15363)), _u15364)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u15365)))))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_finite__set ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_finite__set-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u15366), hAPP(c_List_Oset(_u15366), _u15367))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_set__subset__Cons ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_set__subset__Cons-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15368, tc_HOL_Obool)), hAPP(c_List_Oset(_u15368), _u15369)), hAPP(c_List_Oset(_u15368), hAPP(hAPP(c_List_Olist_OCons(_u15368), _u15370), _u15369)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_take__all ( axiom ) converted to clauses:
% 20.36/20.57 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(_u15371)), _u15372)), _u15373)) | ( hAPP(hAPP(c_List_Otake(_u15371), _u15373), _u15372) = _u15372) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_set__take__subset ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_set__take__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15374, tc_HOL_Obool)), hAPP(c_List_Oset(_u15374), hAPP(hAPP(c_List_Otake(_u15374), _u15375), _u15376))), hAPP(c_List_Oset(_u15374), _u15376))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_set__take__subset__set__take ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_set__take__subset__set__take-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15377), _u15378)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15379, tc_HOL_Obool)), hAPP(c_List_Oset(_u15379), hAPP(hAPP(c_List_Otake(_u15379), _u15377), _u15380))), hAPP(c_List_Oset(_u15379), hAPP(hAPP(c_List_Otake(_u15379), _u15378), _u15380)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_set__sublist__subset ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_set__sublist__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15381, tc_HOL_Obool)), hAPP(c_List_Oset(_u15381), c_List_Osublist(_u15381, _u15382, _u15383))), hAPP(c_List_Oset(_u15381), _u15382))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_nth__take ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_nth__take-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15384), _u15385)) | ( hAPP(hAPP(c_List_Onth(_u15386), hAPP(hAPP(c_List_Otake(_u15386), _u15385), _u15387)), _u15384) = hAPP(hAPP(c_List_Onth(_u15386), _u15387), _u15384)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_notin__set__sublistI ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_notin__set__sublistI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15388), _u15389), hAPP(c_List_Oset(_u15388), _u15390))) | ~hBOOL(hAPP(hAPP(c_member(_u15388), _u15389), hAPP(c_List_Oset(_u15388), c_List_Osublist(_u15388, _u15390, _u15391)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_in__set__takeD ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_in__set__takeD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15392), _u15393), hAPP(c_List_Oset(_u15392), hAPP(hAPP(c_List_Otake(_u15392), _u15394), _u15395)))) | hBOOL(hAPP(hAPP(c_member(_u15392), _u15393), hAPP(c_List_Oset(_u15392), _u15395))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_in__set__sublistD ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_in__set__sublistD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15396), _u15397), hAPP(c_List_Oset(_u15396), c_List_Osublist(_u15396, _u15398, _u15399)))) | hBOOL(hAPP(hAPP(c_member(_u15396), _u15397), hAPP(c_List_Oset(_u15396), _u15398))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_set__ConsD ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_set__ConsD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15400), _u15401), hAPP(c_List_Oset(_u15400), hAPP(hAPP(c_List_Olist_OCons(_u15400), _u15402), _u15403)))) | ( _u15401 = _u15402) | hBOOL(hAPP(hAPP(c_member(_u15400), _u15401), hAPP(c_List_Oset(_u15400), _u15403))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_take__Suc__Cons ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_take__Suc__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u15404), hAPP(c_Nat_OSuc, _u15405)), hAPP(hAPP(c_List_Olist_OCons(_u15404), _u15406), _u15407)) = hAPP(hAPP(c_List_Olist_OCons(_u15404), _u15406), hAPP(hAPP(c_List_Otake(_u15404), _u15405), _u15407))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_length__take ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_length__take-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15408)), hAPP(hAPP(c_List_Otake(_u15408), _u15409), _u15410)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15408)), _u15410)), _u15409)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_take__take ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_take__take-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u15411), _u15412), hAPP(hAPP(c_List_Otake(_u15411), _u15413), _u15414)) = hAPP(hAPP(c_List_Otake(_u15411), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u15412), _u15413)), _u15414)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_List_Oset_Osimps_I2_J ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_List_Oset_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Oset(_u15415), hAPP(hAPP(c_List_Olist_OCons(_u15415), _u15416), _u15417)) = hAPP(hAPP(c_Set_Oinsert(_u15415), _u15416), hAPP(c_List_Oset(_u15415), _u15417))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_sublist__upt__eq__take ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_sublist__upt__eq__take-1, axiom, ( ( c_List_Osublist(_u15418, _u15419, hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u15420)) = hAPP(hAPP(c_List_Otake(_u15418), _u15420), _u15419)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_card__length ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_card__length-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u15421), hAPP(c_List_Oset(_u15421), _u15422))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15421)), _u15422))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_all__set__conv__all__nth ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_all__set__conv__all__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15424), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15430)), _u15432))) | hBOOL(hAPP(_u15434, hAPP(hAPP(c_List_Onth(_u15430), _u15432), _u15424))) | hBOOL(hAPP(hAPP(c_member(_u15430), skolem409(_u15434, _u15432, _u15430)), hAPP(c_List_Oset(_u15430), _u15432))) )).
% 20.36/20.57 cnf(fact_all__set__conv__all__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15424), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15430)), _u15432))) | hBOOL(hAPP(_u15434, hAPP(hAPP(c_List_Onth(_u15430), _u15432), _u15424))) | ~hBOOL(hAPP(_u15434, skolem409(_u15434, _u15432, _u15430))) )).
% 20.36/20.57 cnf(fact_all__set__conv__all__nth-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15431), _u15426), hAPP(c_List_Oset(_u15431), _u15433))) | hBOOL(hAPP(_u15435, _u15426)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem410(_u15435, _u15433, _u15431)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15431)), _u15433))) )).
% 20.36/20.57 cnf(fact_all__set__conv__all__nth-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15431), _u15426), hAPP(c_List_Oset(_u15431), _u15433))) | hBOOL(hAPP(_u15435, _u15426)) | ~hBOOL(hAPP(_u15435, hAPP(hAPP(c_List_Onth(_u15431), _u15433), skolem410(_u15435, _u15433, _u15431)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_list__size__estimation ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_list__size__estimation-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15436), _u15437), hAPP(c_List_Oset(_u15436), _u15438))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15439), hAPP(_u15440, _u15437))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15439), c_List_Olist_Olist__size(_u15436, _u15440, _u15438))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_list__size__estimation_H ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_list__size__estimation_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15441), _u15442), hAPP(c_List_Oset(_u15441), _u15443))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15444), hAPP(_u15445, _u15442))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15444), c_List_Olist_Olist__size(_u15441, _u15445, _u15443))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_in__lists__conv__set ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_in__lists__conv__set-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15451)), _u15453), c_List_Olists(_u15451, _u15455))) | ~hBOOL(hAPP(hAPP(c_member(_u15451), _u15446), hAPP(c_List_Oset(_u15451), _u15453))) | hBOOL(hAPP(hAPP(c_member(_u15451), _u15446), _u15455)) )).
% 20.36/20.57 cnf(fact_in__lists__conv__set-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15452)), _u15454), c_List_Olists(_u15452, _u15456))) | hBOOL(hAPP(hAPP(c_member(_u15452), skolem411(_u15456, _u15454, _u15452)), hAPP(c_List_Oset(_u15452), _u15454))) )).
% 20.36/20.57 cnf(fact_in__lists__conv__set-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15452)), _u15454), c_List_Olists(_u15452, _u15456))) | ~hBOOL(hAPP(hAPP(c_member(_u15452), skolem411(_u15456, _u15454, _u15452)), _u15456)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_length__pos__if__in__set ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_length__pos__if__in__set-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15457), _u15458), hAPP(c_List_Oset(_u15457), _u15459))) | 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(_u15457)), _u15459))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_in__set__conv__nth ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_in__set__conv__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15465), _u15467), hAPP(c_List_Oset(_u15465), _u15469))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem412(_u15469, _u15467, _u15465)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15465)), _u15469))) )).
% 20.36/20.57 cnf(fact_in__set__conv__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15465), _u15467), hAPP(c_List_Oset(_u15465), _u15469))) | ( hAPP(hAPP(c_List_Onth(_u15465), _u15469), skolem412(_u15469, _u15467, _u15465)) = _u15467) )).
% 20.36/20.57 cnf(fact_in__set__conv__nth-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15461), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15466)), _u15470))) | ( hAPP(hAPP(c_List_Onth(_u15466), _u15470), _u15461) != _u15468) | hBOOL(hAPP(hAPP(c_member(_u15466), _u15468), hAPP(c_List_Oset(_u15466), _u15470))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_nth__mem ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_nth__mem-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15471), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15472)), _u15473))) | hBOOL(hAPP(hAPP(c_member(_u15472), hAPP(hAPP(c_List_Onth(_u15472), _u15473), _u15471)), hAPP(c_List_Oset(_u15472), _u15473))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_lists__eq__set ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_lists__eq__set-1, axiom, ( ( c_List_Olists(_u15474, _u15475) = hAPP(c_Set_OCollect(tc_List_Olist(_u15474)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15474), tc_fun(_u15474, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15474, tc_HOL_Obool), tc_fun(tc_fun(_u15474, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15474)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u15474, tc_HOL_Obool))), c_List_Oset(_u15474))), _u15475))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_set__conv__nth ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_set__conv__nth-1, axiom, ( ( hAPP(c_List_Oset(_u15476), _u15477) = hAPP(c_Set_OCollect(_u15476), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u15476), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u15476, 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)), _u15476), 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)), _u15476), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u15476, tc_fun(tc_Nat_Onat, _u15476), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15476, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u15476), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u15476), c_COMBB(_u15476, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u15476), _u15477))))), 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(_u15476)), _u15477)))))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_finite__lists__length__eq ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_finite__lists__length__eq-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15478), _u15479)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u15478)), hAPP(c_Set_OCollect(tc_List_Olist(_u15478)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15478), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15478)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15478), tc_fun(_u15478, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15478, tc_HOL_Obool), tc_fun(tc_fun(_u15478, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15478)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u15478, tc_HOL_Obool))), c_List_Oset(_u15478))), _u15479))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15478), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u15478)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u15478)))), _u15480))))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_finite__lists__length__le ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_finite__lists__length__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15481), _u15482)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u15481)), hAPP(c_Set_OCollect(tc_List_Olist(_u15481)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15481), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15481)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15481), tc_fun(_u15481, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15481, tc_HOL_Obool), tc_fun(tc_fun(_u15481, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15481)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u15481, tc_HOL_Obool))), c_List_Oset(_u15481))), _u15482))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15481), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u15481)), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u15481)))), _u15483))))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_listrel__iff__zip ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_listrel__iff__zip-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15490), tc_List_Olist(_u15490))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15490), tc_List_Olist(_u15490)), _u15492), _u15494)), c_List_Olistrel(_u15490, _u15496))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15490)), _u15492) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15490)), _u15494)) )).
% 20.36/20.57 cnf(fact_listrel__iff__zip-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15490), tc_List_Olist(_u15490))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15490), tc_List_Olist(_u15490)), _u15492), _u15494)), c_List_Olistrel(_u15490, _u15496))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15490, _u15490)), _u15484), hAPP(c_List_Oset(tc_prod(_u15490, _u15490)), hAPP(hAPP(c_List_Ozip(_u15490, _u15490), _u15492), _u15494)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15490, _u15490, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15490, tc_fun(tc_prod(_u15490, _u15490), tc_HOL_Obool), tc_fun(_u15490, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15490, tc_fun(tc_fun(tc_prod(_u15490, _u15490), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15490, _u15490), tc_HOL_Obool), tc_fun(_u15490, tc_HOL_Obool)), _u15490), c_COMBC(_u15490, tc_fun(tc_prod(_u15490, _u15490), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15490, tc_prod(_u15490, _u15490)), tc_fun(_u15490, tc_fun(tc_fun(tc_prod(_u15490, _u15490), tc_HOL_Obool), tc_HOL_Obool)), _u15490), hAPP(c_COMBB(tc_prod(_u15490, _u15490), tc_fun(tc_fun(tc_prod(_u15490, _u15490), tc_HOL_Obool), tc_HOL_Obool), _u15490), c_member(tc_prod(_u15490, _u15490)))), c_Product__Type_OPair(_u15490, _u15490)))), _u15496)), _u15484)) )).
% 20.36/20.57 cnf(fact_listrel__iff__zip-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15491), tc_List_Olist(_u15491))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15491), tc_List_Olist(_u15491)), _u15493), _u15495)), c_List_Olistrel(_u15491, _u15497))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15491)), _u15493) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15491)), _u15495)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15491, _u15491)), skolem413(_u15497, _u15495, _u15493, _u15491)), hAPP(c_List_Oset(tc_prod(_u15491, _u15491)), hAPP(hAPP(c_List_Ozip(_u15491, _u15491), _u15493), _u15495)))) )).
% 20.36/20.57 cnf(fact_listrel__iff__zip-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15491), tc_List_Olist(_u15491))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15491), tc_List_Olist(_u15491)), _u15493), _u15495)), c_List_Olistrel(_u15491, _u15497))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15491)), _u15493) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15491)), _u15495)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15491, _u15491, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15491, tc_fun(tc_prod(_u15491, _u15491), tc_HOL_Obool), tc_fun(_u15491, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15491, tc_fun(tc_fun(tc_prod(_u15491, _u15491), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15491, _u15491), tc_HOL_Obool), tc_fun(_u15491, tc_HOL_Obool)), _u15491), c_COMBC(_u15491, tc_fun(tc_prod(_u15491, _u15491), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15491, tc_prod(_u15491, _u15491)), tc_fun(_u15491, tc_fun(tc_fun(tc_prod(_u15491, _u15491), tc_HOL_Obool), tc_HOL_Obool)), _u15491), hAPP(c_COMBB(tc_prod(_u15491, _u15491), tc_fun(tc_fun(tc_prod(_u15491, _u15491), tc_HOL_Obool), tc_HOL_Obool), _u15491), c_member(tc_prod(_u15491, _u15491)))), c_Product__Type_OPair(_u15491, _u15491)))), _u15497)), skolem413(_u15497, _u15495, _u15493, _u15491))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_set__zip ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_set__zip-1, axiom, ( ( hAPP(c_List_Oset(tc_prod(_u15498, _u15499)), hAPP(hAPP(c_List_Ozip(_u15498, _u15499), _u15500), _u15501)) = hAPP(c_Set_OCollect(tc_prod(_u15498, _u15499)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u15498, _u15499)), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u15498, _u15499), 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(_u15498, _u15499)), 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(_u15498, _u15499)), 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(_u15498, _u15499), tc_fun(tc_Nat_Onat, tc_prod(_u15498, _u15499)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u15498, _u15499), tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_prod(_u15498, _u15499)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_prod(_u15498, _u15499)), c_COMBB(tc_prod(_u15498, _u15499), tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u15499, tc_prod(_u15498, _u15499)), hAPP(hAPP(c_COMBB(_u15498, tc_fun(_u15499, tc_prod(_u15498, _u15499)), tc_Nat_Onat), c_Product__Type_OPair(_u15498, _u15499)), hAPP(c_List_Onth(_u15498), _u15500))), hAPP(c_List_Onth(_u15499), _u15501)))))), 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(_u15498)), _u15500)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15499)), _u15501))))))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_take__zip ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_take__zip-1, axiom, ( ( hAPP(hAPP(c_List_Otake(tc_prod(_u15502, _u15503)), _u15504), hAPP(hAPP(c_List_Ozip(_u15502, _u15503), _u15505), _u15506)) = hAPP(hAPP(c_List_Ozip(_u15502, _u15503), hAPP(hAPP(c_List_Otake(_u15502), _u15504), _u15505)), hAPP(hAPP(c_List_Otake(_u15503), _u15504), _u15506))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_length__zip ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_length__zip-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_prod(_u15507, _u15508))), hAPP(hAPP(c_List_Ozip(_u15507, _u15508), _u15509), _u15510)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15507)), _u15509)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15508)), _u15510))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_zip__Cons__Cons ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_zip__Cons__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u15511, _u15512), hAPP(hAPP(c_List_Olist_OCons(_u15511), _u15513), _u15514)), hAPP(hAPP(c_List_Olist_OCons(_u15512), _u15515), _u15516)) = hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u15511, _u15512)), hAPP(hAPP(c_Product__Type_OPair(_u15511, _u15512), _u15513), _u15515)), hAPP(hAPP(c_List_Ozip(_u15511, _u15512), _u15514), _u15516))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_list__eq__iff__zip__eq ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_list__eq__iff__zip__eq-1, axiom, ( ( _u15522 != _u15524) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15526)), _u15522) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15526)), _u15524)) )).
% 20.36/20.57 cnf(fact_list__eq__iff__zip__eq-2, axiom, ( ( _u15522 != _u15524) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15526, _u15526)), _u15517), hAPP(c_List_Oset(tc_prod(_u15526, _u15526)), hAPP(hAPP(c_List_Ozip(_u15526, _u15526), _u15522), _u15524)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15526, _u15526, tc_HOL_Obool), c_fequal), _u15517)) )).
% 20.36/20.57 cnf(fact_list__eq__iff__zip__eq-3, axiom, ( ( _u15523 = _u15525) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15527)), _u15523) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15527)), _u15525)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15527, _u15527)), skolem414(_u15527, _u15525, _u15523)), hAPP(c_List_Oset(tc_prod(_u15527, _u15527)), hAPP(hAPP(c_List_Ozip(_u15527, _u15527), _u15523), _u15525)))) )).
% 20.36/20.57 cnf(fact_list__eq__iff__zip__eq-4, axiom, ( ( _u15523 = _u15525) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15527)), _u15523) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15527)), _u15525)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15527, _u15527, tc_HOL_Obool), c_fequal), skolem414(_u15527, _u15525, _u15523))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_zip__same ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_zip__same-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15532, _u15532)), hAPP(hAPP(c_Product__Type_OPair(_u15532, _u15532), _u15534), _u15536)), hAPP(c_List_Oset(tc_prod(_u15532, _u15532)), hAPP(hAPP(c_List_Ozip(_u15532, _u15532), _u15538), _u15538)))) | hBOOL(hAPP(hAPP(c_member(_u15532), _u15534), hAPP(c_List_Oset(_u15532), _u15538))) )).
% 20.36/20.57 cnf(fact_zip__same-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15532, _u15532)), hAPP(hAPP(c_Product__Type_OPair(_u15532, _u15532), _u15534), _u15536)), hAPP(c_List_Oset(tc_prod(_u15532, _u15532)), hAPP(hAPP(c_List_Ozip(_u15532, _u15532), _u15538), _u15538)))) | ( _u15534 = _u15536) )).
% 20.36/20.57 cnf(fact_zip__same-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15533), _u15535), hAPP(c_List_Oset(_u15533), _u15539))) | ( _u15535 != _u15537) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15533, _u15533)), hAPP(hAPP(c_Product__Type_OPair(_u15533, _u15533), _u15535), _u15537)), hAPP(c_List_Oset(tc_prod(_u15533, _u15533)), hAPP(hAPP(c_List_Ozip(_u15533, _u15533), _u15539), _u15539)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_set__zip__leftD ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_set__zip__leftD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15540, _u15541)), hAPP(hAPP(c_Product__Type_OPair(_u15540, _u15541), _u15542), _u15543)), hAPP(c_List_Oset(tc_prod(_u15540, _u15541)), hAPP(hAPP(c_List_Ozip(_u15540, _u15541), _u15544), _u15545)))) | hBOOL(hAPP(hAPP(c_member(_u15540), _u15542), hAPP(c_List_Oset(_u15540), _u15544))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_set__zip__rightD ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_set__zip__rightD-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15547), _u15549), hAPP(c_List_Oset(_u15547), _u15551))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15546, _u15547)), hAPP(hAPP(c_Product__Type_OPair(_u15546, _u15547), _u15548), _u15549)), hAPP(c_List_Oset(tc_prod(_u15546, _u15547)), hAPP(hAPP(c_List_Ozip(_u15546, _u15547), _u15550), _u15551)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_in__set__zipE ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_in__set__zipE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15552, _u15553)), hAPP(hAPP(c_Product__Type_OPair(_u15552, _u15553), _u15554), _u15555)), hAPP(c_List_Oset(tc_prod(_u15552, _u15553)), hAPP(hAPP(c_List_Ozip(_u15552, _u15553), _u15556), _u15557)))) | hBOOL(hAPP(hAPP(c_member(_u15552), _u15554), hAPP(c_List_Oset(_u15552), _u15556))) )).
% 20.36/20.57 cnf(fact_in__set__zipE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15552, _u15553)), hAPP(hAPP(c_Product__Type_OPair(_u15552, _u15553), _u15554), _u15555)), hAPP(c_List_Oset(tc_prod(_u15552, _u15553)), hAPP(hAPP(c_List_Ozip(_u15552, _u15553), _u15556), _u15557)))) | hBOOL(hAPP(hAPP(c_member(_u15553), _u15555), hAPP(c_List_Oset(_u15553), _u15557))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_nth__zip ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_nth__zip-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15558), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15559)), _u15560))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15558), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15561)), _u15562))) | ( hAPP(hAPP(c_List_Onth(tc_prod(_u15559, _u15561)), hAPP(hAPP(c_List_Ozip(_u15559, _u15561), _u15560), _u15562)), _u15558) = hAPP(hAPP(c_Product__Type_OPair(_u15559, _u15561), hAPP(hAPP(c_List_Onth(_u15559), _u15560), _u15558)), hAPP(hAPP(c_List_Onth(_u15561), _u15562), _u15558))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_greaterThanLessThan__upto ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_greaterThanLessThan__upto-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u15563, _u15564) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15563), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u15564), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_listsum__setsum__nth ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_listsum__setsum__nth-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u15565) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15565), _u15566) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u15565), hAPP(c_List_Onth(_u15565), _u15566)), 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(_u15565)), _u15566)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_set__upto ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_set__upto-1, axiom, ( ( hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u15567, _u15568)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u15567, _u15568)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_atLeastAtMost__upto ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_atLeastAtMost__upto-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u15569, _u15570) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u15569, _u15570))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_listsum__eq__0__nat__iff__nat ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_listsum__eq__0__nat__iff__nat-1, axiom, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15574) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u15571), hAPP(c_List_Oset(tc_Nat_Onat), _u15574))) | ( _u15571 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.57 cnf(fact_listsum__eq__0__nat__iff__nat-2, axiom, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15575) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem415(_u15575)), hAPP(c_List_Oset(tc_Nat_Onat), _u15575))) )).
% 20.36/20.57 cnf(fact_listsum__eq__0__nat__iff__nat-3, axiom, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15575) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem415(_u15575) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_elem__le__listsum__nat ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_elem__le__listsum__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15576), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u15577))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u15577), _u15576)), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15577))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_listsum__simps_I2_J ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_listsum__simps_I2_J-1, axiom, ( ~class_Groups_Omonoid__add(_u15578) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15578), hAPP(hAPP(c_List_Olist_OCons(_u15578), _u15579), _u15580)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u15578), _u15579), hAPP(c_List_Omonoid__add__class_Olistsum(_u15578), _u15580))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_atLeastLessThan__upto ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_atLeastLessThan__upto-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u15581), _u15582) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u15581, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u15582), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_greaterThanAtMost__upto ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_greaterThanAtMost__upto-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u15583, _u15584) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15583), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u15584))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_nat__list__def ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_nat__list__def-1, axiom, ( ~c_List_Onat__list(_u15586) | c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u15586)) )).
% 20.36/20.57 cnf(fact_nat__list__def-2, axiom, ( ~c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u15587)) | c_List_Onat__list(_u15587) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_list__size__pointwise ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_list__size__pointwise-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u15589, _u15591, _u15590)), c_List_Olist_Olist__size(_u15589, _u15592, _u15590))) | hBOOL(hAPP(hAPP(c_member(_u15589), skolem416(_u15592, _u15591, _u15590, _u15589)), hAPP(c_List_Oset(_u15589), _u15590))) )).
% 20.36/20.57 cnf(fact_list__size__pointwise-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u15589, _u15591, _u15590)), c_List_Olist_Olist__size(_u15589, _u15592, _u15590))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u15591, skolem416(_u15592, _u15591, _u15590, _u15589))), hAPP(_u15592, skolem416(_u15592, _u15591, _u15590, _u15589)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_listsum__update__nat ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_listsum__update__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15593), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u15594))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Olist__update(tc_Nat_Onat, _u15594), _u15593), _u15595)) = 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), _u15594)), _u15595)), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u15594), _u15593))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_butlast__take ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_butlast__take-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15596), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15597)), _u15598))) | ( c_List_Obutlast(_u15597, hAPP(hAPP(c_List_Otake(_u15597), _u15596), _u15598)) = hAPP(hAPP(c_List_Otake(_u15597), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u15596), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u15598)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_list__update__beyond ( axiom ) converted to clauses:
% 20.36/20.57 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(_u15599)), _u15600)), _u15601)) | ( hAPP(hAPP(c_List_Olist__update(_u15599, _u15600), _u15601), _u15602) = _u15600) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_nth__list__update__neq ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_nth__list__update__neq-1, axiom, ( ( _u15603 = _u15604) | ( hAPP(hAPP(c_List_Onth(_u15605), hAPP(hAPP(c_List_Olist__update(_u15605, _u15606), _u15603), _u15607)), _u15604) = hAPP(hAPP(c_List_Onth(_u15605), _u15606), _u15604)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_list__update__id ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_list__update__id-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u15608, _u15609), _u15610), hAPP(hAPP(c_List_Onth(_u15608), _u15609), _u15610)) = _u15609) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_butlast__list__update ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_butlast__list__update-1, axiom, ( ( _u15615 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15617)), _u15619)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u15617, hAPP(hAPP(c_List_Olist__update(_u15617, _u15619), _u15615), _u15621)) = c_List_Obutlast(_u15617, _u15619)) )).
% 20.36/20.57 cnf(fact_butlast__list__update-2, axiom, ( ( _u15616 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15618)), _u15620)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u15618, hAPP(hAPP(c_List_Olist__update(_u15618, _u15620), _u15616), _u15622)) = hAPP(hAPP(c_List_Olist__update(_u15618, c_List_Obutlast(_u15618, _u15620)), _u15616), _u15622)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_length__list__update ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_length__list__update-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15623)), hAPP(hAPP(c_List_Olist__update(_u15623, _u15624), _u15625), _u15626)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15623)), _u15624)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_zip__update ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_zip__update-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u15627, _u15628), hAPP(hAPP(c_List_Olist__update(_u15627, _u15629), _u15630), _u15631)), hAPP(hAPP(c_List_Olist__update(_u15628, _u15632), _u15630), _u15633)) = hAPP(hAPP(c_List_Olist__update(tc_prod(_u15627, _u15628), hAPP(hAPP(c_List_Ozip(_u15627, _u15628), _u15629), _u15632)), _u15630), hAPP(hAPP(c_Product__Type_OPair(_u15627, _u15628), _u15631), _u15633))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_update__zip ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_update__zip-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(tc_prod(_u15634, _u15635), hAPP(hAPP(c_List_Ozip(_u15634, _u15635), _u15636), _u15637)), _u15638), _u15639) = hAPP(hAPP(c_List_Ozip(_u15634, _u15635), hAPP(hAPP(c_List_Olist__update(_u15634, _u15636), _u15638), hAPP(c_Product__Type_Ofst(_u15634, _u15635), _u15639))), hAPP(hAPP(c_List_Olist__update(_u15635, _u15637), _u15638), hAPP(c_Product__Type_Osnd(_u15634, _u15635), _u15639)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_list__update__overwrite ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_list__update__overwrite-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u15640, hAPP(hAPP(c_List_Olist__update(_u15640, _u15641), _u15642), _u15643)), _u15642), _u15644) = hAPP(hAPP(c_List_Olist__update(_u15640, _u15641), _u15642), _u15644)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_list__update__swap ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_list__update__swap-1, axiom, ( ( _u15645 = _u15646) | ( hAPP(hAPP(c_List_Olist__update(_u15647, hAPP(hAPP(c_List_Olist__update(_u15647, _u15648), _u15645), _u15649)), _u15646), _u15650) = hAPP(hAPP(c_List_Olist__update(_u15647, hAPP(hAPP(c_List_Olist__update(_u15647, _u15648), _u15646), _u15650)), _u15645), _u15649)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_list__update__code_I2_J ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_list__update__code_I2_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u15651, hAPP(hAPP(c_List_Olist_OCons(_u15651), _u15652), _u15653)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u15654) = hAPP(hAPP(c_List_Olist_OCons(_u15651), _u15654), _u15653)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_list__update__code_I3_J ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_list__update__code_I3_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u15655, hAPP(hAPP(c_List_Olist_OCons(_u15655), _u15656), _u15657)), hAPP(c_Nat_OSuc, _u15658)), _u15659) = hAPP(hAPP(c_List_Olist_OCons(_u15655), _u15656), hAPP(hAPP(c_List_Olist__update(_u15655, _u15657), _u15658), _u15659))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_list__update_Osimps_I2_J ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_list__update_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u15660, hAPP(hAPP(c_List_Olist_OCons(_u15660), _u15661), _u15662)), _u15663), _u15664) = c_Nat_Onat_Onat__case(tc_List_Olist(_u15660), hAPP(hAPP(c_List_Olist_OCons(_u15660), _u15664), _u15662), hAPP(hAPP(c_COMBB(tc_List_Olist(_u15660), tc_List_Olist(_u15660), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u15660), _u15661)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u15660, tc_List_Olist(_u15660)), c_List_Olist__update(_u15660, _u15662)), _u15664)), _u15663)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_in__set__butlastD ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_in__set__butlastD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15665), _u15666), hAPP(c_List_Oset(_u15665), c_List_Obutlast(_u15665, _u15667)))) | hBOOL(hAPP(hAPP(c_member(_u15665), _u15666), hAPP(c_List_Oset(_u15665), _u15667))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_set__update__subsetI ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_set__update__subsetI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15668, tc_HOL_Obool)), hAPP(c_List_Oset(_u15668), _u15669)), _u15670)) | ~hBOOL(hAPP(hAPP(c_member(_u15668), _u15671), _u15670)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15668, tc_HOL_Obool)), hAPP(c_List_Oset(_u15668), hAPP(hAPP(c_List_Olist__update(_u15668, _u15669), _u15672), _u15671))), _u15670)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_set__update__subset__insert ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_set__update__subset__insert-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15673, tc_HOL_Obool)), hAPP(c_List_Oset(_u15673), hAPP(hAPP(c_List_Olist__update(_u15673, _u15674), _u15675), _u15676))), hAPP(hAPP(c_Set_Oinsert(_u15673), _u15676), hAPP(c_List_Oset(_u15673), _u15674)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_nth__list__update ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_nth__list__update-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15677), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15678)), _u15679))) | ( _u15677 != _u15680) | ( hAPP(hAPP(c_List_Onth(_u15678), hAPP(hAPP(c_List_Olist__update(_u15678, _u15679), _u15677), _u15681)), _u15680) = _u15681) )).
% 20.36/20.57 cnf(fact_nth__list__update-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15677), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15678)), _u15679))) | ( _u15677 = _u15680) | ( hAPP(hAPP(c_List_Onth(_u15678), hAPP(hAPP(c_List_Olist__update(_u15678, _u15679), _u15677), _u15681)), _u15680) = hAPP(hAPP(c_List_Onth(_u15678), _u15679), _u15680)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_list__update__same__conv ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_list__update__same__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15682), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15683)), _u15684))) | ( hAPP(hAPP(c_List_Olist__update(_u15683, _u15684), _u15682), _u15685) != _u15684) | ( hAPP(hAPP(c_List_Onth(_u15683), _u15684), _u15682) = _u15685) )).
% 20.36/20.57 cnf(fact_list__update__same__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15682), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15683)), _u15684))) | ( hAPP(hAPP(c_List_Onth(_u15683), _u15684), _u15682) != _u15685) | ( hAPP(hAPP(c_List_Olist__update(_u15683, _u15684), _u15682), _u15685) = _u15684) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_nth__list__update__eq ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_nth__list__update__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15686), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15687)), _u15688))) | ( hAPP(hAPP(c_List_Onth(_u15687), hAPP(hAPP(c_List_Olist__update(_u15687, _u15688), _u15686), _u15689)), _u15686) = _u15689) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_take__butlast ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_take__butlast-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15690), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15691)), _u15692))) | ( hAPP(hAPP(c_List_Otake(_u15691), _u15690), c_List_Obutlast(_u15691, _u15692)) = hAPP(hAPP(c_List_Otake(_u15691), _u15690), _u15692)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_length__butlast ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_length__butlast-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15693)), c_List_Obutlast(_u15693, _u15694)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15693)), _u15694)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_set__update__memI ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_set__update__memI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15695), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15696)), _u15697))) | hBOOL(hAPP(hAPP(c_member(_u15696), _u15698), hAPP(c_List_Oset(_u15696), hAPP(hAPP(c_List_Olist__update(_u15696, _u15697), _u15695), _u15698)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_butlast__conv__take ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_butlast__conv__take-1, axiom, ( ( c_List_Obutlast(_u15699, _u15700) = hAPP(hAPP(c_List_Otake(_u15699), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15699)), _u15700)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u15700)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_listrel1__iff__update ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_listrel1__iff__update-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15709), tc_List_Olist(_u15709))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15709), tc_List_Olist(_u15709)), _u15711), _u15713)), c_List_Olistrel1(_u15709, _u15715))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15709, _u15709)), hAPP(hAPP(c_Product__Type_OPair(_u15709, _u15709), hAPP(hAPP(c_List_Onth(_u15709), _u15711), skolem418(_u15715, _u15713, _u15711, _u15709))), skolem417(_u15715, _u15713, _u15711, _u15709))), _u15715)) )).
% 20.36/20.57 cnf(fact_listrel1__iff__update-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15709), tc_List_Olist(_u15709))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15709), tc_List_Olist(_u15709)), _u15711), _u15713)), c_List_Olistrel1(_u15709, _u15715))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem418(_u15715, _u15713, _u15711, _u15709)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15709)), _u15711))) )).
% 20.36/20.57 cnf(fact_listrel1__iff__update-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15709), tc_List_Olist(_u15709))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15709), tc_List_Olist(_u15709)), _u15711), _u15713)), c_List_Olistrel1(_u15709, _u15715))) | ( _u15713 = hAPP(hAPP(c_List_Olist__update(_u15709, _u15711), skolem418(_u15715, _u15713, _u15711, _u15709)), skolem417(_u15715, _u15713, _u15711, _u15709))) )).
% 20.36/20.57 cnf(fact_listrel1__iff__update-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15710, _u15710)), hAPP(hAPP(c_Product__Type_OPair(_u15710, _u15710), hAPP(hAPP(c_List_Onth(_u15710), _u15712), _u15703)), _u15704)), _u15716)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15703), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15710)), _u15712))) | ( _u15714 != hAPP(hAPP(c_List_Olist__update(_u15710, _u15712), _u15703), _u15704)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15710), tc_List_Olist(_u15710))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15710), tc_List_Olist(_u15710)), _u15712), _u15714)), c_List_Olistrel1(_u15710, _u15716))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_distinct__list__update ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_distinct__list__update-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15717), _u15718)) | hBOOL(hAPP(hAPP(c_member(_u15717), _u15719), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15717, tc_HOL_Obool)), hAPP(c_List_Oset(_u15717), _u15718)), hAPP(hAPP(c_Set_Oinsert(_u15717), hAPP(hAPP(c_List_Onth(_u15717), _u15718), _u15720)), c_Orderings_Obot__class_Obot(tc_fun(_u15717, tc_HOL_Obool)))))) | hBOOL(hAPP(c_List_Odistinct(_u15717), hAPP(hAPP(c_List_Olist__update(_u15717, _u15718), _u15720), _u15719))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_distinct__upto ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_distinct__upto-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint), c_List_Oupto(_u15721, _u15722))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_distinct__take ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_distinct__take-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15723), _u15724)) | hBOOL(hAPP(c_List_Odistinct(_u15723), hAPP(hAPP(c_List_Otake(_u15723), _u15725), _u15724))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_distinct__sublistI ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_distinct__sublistI-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15726), _u15727)) | hBOOL(hAPP(c_List_Odistinct(_u15726), c_List_Osublist(_u15726, _u15727, _u15728))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_distinct__zipI1 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_distinct__zipI1-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15729), _u15730)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u15729, _u15731)), hAPP(hAPP(c_List_Ozip(_u15729, _u15731), _u15730), _u15732))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_distinct__zipI2 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_distinct__zipI2-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15733), _u15734)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u15735, _u15733)), hAPP(hAPP(c_List_Ozip(_u15735, _u15733), _u15736), _u15734))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_distinct_Osimps_I2_J ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_distinct_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15740), hAPP(hAPP(c_List_Olist_OCons(_u15740), _u15742), _u15744))) | ~hBOOL(hAPP(hAPP(c_member(_u15740), _u15742), hAPP(c_List_Oset(_u15740), _u15744))) )).
% 20.36/20.57 cnf(fact_distinct_Osimps_I2_J-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15740), hAPP(hAPP(c_List_Olist_OCons(_u15740), _u15742), _u15744))) | hBOOL(hAPP(c_List_Odistinct(_u15740), _u15744)) )).
% 20.36/20.57 cnf(fact_distinct_Osimps_I2_J-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15741), _u15743), hAPP(c_List_Oset(_u15741), _u15745))) | ~hBOOL(hAPP(c_List_Odistinct(_u15741), _u15745)) | hBOOL(hAPP(c_List_Odistinct(_u15741), hAPP(hAPP(c_List_Olist_OCons(_u15741), _u15743), _u15745))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_distinct__card ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_distinct__card-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15746), _u15747)) | ( hAPP(c_Finite__Set_Ocard(_u15746), hAPP(c_List_Oset(_u15746), _u15747)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15746)), _u15747)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_card__distinct ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_card__distinct-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u15748), hAPP(c_List_Oset(_u15748), _u15749)) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15748)), _u15749)) | hBOOL(hAPP(c_List_Odistinct(_u15748), _u15749)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_distinct__conv__nth ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_distinct__conv__nth-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15756), _u15758)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15751), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15756)), _u15758))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15750), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15756)), _u15758))) | ( _u15751 = _u15750) | ( hAPP(hAPP(c_List_Onth(_u15756), _u15758), _u15751) != hAPP(hAPP(c_List_Onth(_u15756), _u15758), _u15750)) )).
% 20.36/20.57 cnf(fact_distinct__conv__nth-2, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u15757), _u15759)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem419(_u15759, _u15757)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15757)), _u15759))) )).
% 20.36/20.57 cnf(fact_distinct__conv__nth-3, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u15757), _u15759)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem420(_u15759, _u15757)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15757)), _u15759))) )).
% 20.36/20.57 cnf(fact_distinct__conv__nth-4, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u15757), _u15759)) | ( skolem419(_u15759, _u15757) != skolem420(_u15759, _u15757)) )).
% 20.36/20.57 cnf(fact_distinct__conv__nth-5, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u15757), _u15759)) | ( hAPP(hAPP(c_List_Onth(_u15757), _u15759), skolem419(_u15759, _u15757)) = hAPP(hAPP(c_List_Onth(_u15757), _u15759), skolem420(_u15759, _u15757))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_nth__eq__iff__index__eq ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_nth__eq__iff__index__eq-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15760), _u15761)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15762), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15760)), _u15761))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15763), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15760)), _u15761))) | ( hAPP(hAPP(c_List_Onth(_u15760), _u15761), _u15762) != hAPP(hAPP(c_List_Onth(_u15760), _u15761), _u15763)) | ( _u15762 = _u15763) )).
% 20.36/20.57 cnf(fact_nth__eq__iff__index__eq-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15760), _u15761)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15762), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15760)), _u15761))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15763), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15760)), _u15761))) | ( _u15762 != _u15763) | ( hAPP(hAPP(c_List_Onth(_u15760), _u15761), _u15762) = hAPP(hAPP(c_List_Onth(_u15760), _u15761), _u15763)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_distinct__listsum__conv__Setsum ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_distinct__listsum__conv__Setsum-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u15764) | ~hBOOL(hAPP(c_List_Odistinct(_u15764), _u15765)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15764), _u15765) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15764, _u15764), c_COMBI(_u15764)), hAPP(c_List_Oset(_u15764), _u15765))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Nitpick_Ocard_H__def ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Nitpick_Ocard_H__def-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15768), _u15770)) | ( c_Nitpick_Ocard_H(_u15768, _u15770) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15768)), c_Hilbert__Choice_OEps(tc_List_Olist(_u15768), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15768), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15768)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15768), tc_fun(_u15768, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15768, tc_HOL_Obool), tc_fun(tc_fun(_u15768, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15768)), c_fequal), c_List_Oset(_u15768))), _u15770))), c_List_Odistinct(_u15768))))) )).
% 20.36/20.57 cnf(fact_Nitpick_Ocard_H__def-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u15769), _u15771)) | ( c_Nitpick_Ocard_H(_u15769, _u15771) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_nth__take__lemma ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_nth__take__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15773), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15774)), _u15775))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15773), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15774)), _u15776))) | ( hAPP(hAPP(c_List_Otake(_u15774), _u15773), _u15775) = hAPP(hAPP(c_List_Otake(_u15774), _u15773), _u15776)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem421(_u15776, _u15775, _u15774, _u15773)), _u15773)) )).
% 20.36/20.57 cnf(fact_nth__take__lemma-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15773), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15774)), _u15775))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15773), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15774)), _u15776))) | ( hAPP(hAPP(c_List_Otake(_u15774), _u15773), _u15775) = hAPP(hAPP(c_List_Otake(_u15774), _u15773), _u15776)) | ( hAPP(hAPP(c_List_Onth(_u15774), _u15775), skolem421(_u15776, _u15775, _u15774, _u15773)) != hAPP(hAPP(c_List_Onth(_u15774), _u15776), skolem421(_u15776, _u15775, _u15774, _u15773))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_set__remove1__eq ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_set__remove1__eq-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15777), _u15778)) | ( hAPP(c_List_Oset(_u15777), c_List_Oremove1(_u15777, _u15779, _u15778)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15777, tc_HOL_Obool)), hAPP(c_List_Oset(_u15777), _u15778)), hAPP(hAPP(c_Set_Oinsert(_u15777), _u15779), c_Orderings_Obot__class_Obot(tc_fun(_u15777, tc_HOL_Obool))))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_take__Cons__number__of ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_take__Cons__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15784) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u15786), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15784)), hAPP(hAPP(c_List_Olist_OCons(_u15786), _u15788), _u15790)) = c_List_Olist_ONil(_u15786)) )).
% 20.36/20.57 cnf(fact_take__Cons__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15785) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u15787), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15785)), hAPP(hAPP(c_List_Olist_OCons(_u15787), _u15789), _u15791)) = hAPP(hAPP(c_List_Olist_OCons(_u15787), _u15789), hAPP(hAPP(c_List_Otake(_u15787), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15785)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u15791))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_lists_ONil ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_lists_ONil-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15792)), c_List_Olist_ONil(_u15792)), c_List_Olists(_u15792, _u15793))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_listrel__Nil1 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_listrel__Nil1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15794), tc_List_Olist(_u15794))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15794), tc_List_Olist(_u15794)), c_List_Olist_ONil(_u15794)), _u15795)), c_List_Olistrel(_u15794, _u15796))) | ( _u15795 = c_List_Olist_ONil(_u15794)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_listrel__Nil2 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_listrel__Nil2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15797), tc_List_Olist(_u15797))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15797), tc_List_Olist(_u15797)), _u15798), c_List_Olist_ONil(_u15797))), c_List_Olistrel(_u15797, _u15799))) | ( _u15798 = c_List_Olist_ONil(_u15797)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_distinct__butlast ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_distinct__butlast-1, axiom, ( ( _u15800 = c_List_Olist_ONil(_u15801)) | ~hBOOL(hAPP(c_List_Odistinct(_u15801), _u15800)) | hBOOL(hAPP(c_List_Odistinct(_u15801), c_List_Obutlast(_u15801, _u15800))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_distinct__remove1 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_distinct__remove1-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15802), _u15803)) | hBOOL(hAPP(c_List_Odistinct(_u15802), c_List_Oremove1(_u15802, _u15804, _u15803))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_distinct_Osimps_I1_J ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_distinct_Osimps_I1_J-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u15805), c_List_Olist_ONil(_u15805))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_butlast_Osimps_I1_J ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_butlast_Osimps_I1_J-1, axiom, ( ( c_List_Obutlast(_u15806, c_List_Olist_ONil(_u15806)) = c_List_Olist_ONil(_u15806)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_butlast_Osimps_I2_J ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_butlast_Osimps_I2_J-1, axiom, ( ( _u15810 != c_List_Olist_ONil(_u15812)) | ( c_List_Obutlast(_u15812, hAPP(hAPP(c_List_Olist_OCons(_u15812), _u15814), _u15810)) = c_List_Olist_ONil(_u15812)) )).
% 20.36/20.57 cnf(fact_butlast_Osimps_I2_J-2, axiom, ( ( _u15811 = c_List_Olist_ONil(_u15813)) | ( c_List_Obutlast(_u15813, hAPP(hAPP(c_List_Olist_OCons(_u15813), _u15815), _u15811)) = hAPP(hAPP(c_List_Olist_OCons(_u15813), _u15815), c_List_Obutlast(_u15813, _u15811))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_list_Osimps_I2_J ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_list_Osimps_I2_J-1, axiom, ( ( c_List_Olist_ONil(_u15816) != hAPP(hAPP(c_List_Olist_OCons(_u15816), _u15817), _u15818)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_list_Osimps_I3_J ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_list_Osimps_I3_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15819), _u15820), _u15821) != c_List_Olist_ONil(_u15819)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_remove1_Osimps_I2_J ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_remove1_Osimps_I2_J-1, axiom, ( ( _u15826 != _u15828) | ( c_List_Oremove1(_u15830, _u15826, hAPP(hAPP(c_List_Olist_OCons(_u15830), _u15828), _u15832)) = _u15832) )).
% 20.36/20.57 cnf(fact_remove1_Osimps_I2_J-2, axiom, ( ( _u15827 = _u15829) | ( c_List_Oremove1(_u15831, _u15827, hAPP(hAPP(c_List_Olist_OCons(_u15831), _u15829), _u15833)) = hAPP(hAPP(c_List_Olist_OCons(_u15831), _u15829), c_List_Oremove1(_u15831, _u15827, _u15833))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_upto__empty ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_upto__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u15834), _u15835)) | ( c_List_Oupto(_u15835, _u15834) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_take__eq__Nil ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_take__eq__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u15839), _u15841), _u15843) != c_List_Olist_ONil(_u15839)) | ( _u15841 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u15843 = c_List_Olist_ONil(_u15839)) )).
% 20.36/20.57 cnf(fact_take__eq__Nil-2, axiom, ( ( hAPP(hAPP(c_List_Otake(_u15840), _u15842), _u15844) = c_List_Olist_ONil(_u15840)) | ( _u15842 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.57 cnf(fact_take__eq__Nil-3, axiom, ( ( hAPP(hAPP(c_List_Otake(_u15840), _u15842), _u15844) = c_List_Olist_ONil(_u15840)) | ( _u15844 != c_List_Olist_ONil(_u15840)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_take__0 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_take__0-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u15845), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u15846) = c_List_Olist_ONil(_u15845)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_take__Nil ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_take__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u15847), _u15848), c_List_Olist_ONil(_u15847)) = c_List_Olist_ONil(_u15847)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_sublist__nil ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_sublist__nil-1, axiom, ( ( c_List_Osublist(_u15849, c_List_Olist_ONil(_u15849), _u15850) = c_List_Olist_ONil(_u15849)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_remove1__commute ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_remove1__commute-1, axiom, ( ( c_List_Oremove1(_u15851, _u15852, c_List_Oremove1(_u15851, _u15853, _u15854)) = c_List_Oremove1(_u15851, _u15853, c_List_Oremove1(_u15851, _u15852, _u15854))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_remove1_Osimps_I1_J ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_remove1_Osimps_I1_J-1, axiom, ( ( c_List_Oremove1(_u15855, _u15856, c_List_Olist_ONil(_u15855)) = c_List_Olist_ONil(_u15855)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_listrelp_Oequations_I1_J ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_listrelp_Oequations_I1_J-1, axiom, ( c_List_Olistrelp(_u15857, _u15858, c_List_Olist_ONil(_u15857), c_List_Olist_ONil(_u15857)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_listrelp_ONil ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_listrelp_ONil-1, axiom, ( c_List_Olistrelp(_u15859, _u15860, c_List_Olist_ONil(_u15859), c_List_Olist_ONil(_u15859)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_zip__Nil ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_zip__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u15861, _u15862), c_List_Olist_ONil(_u15861)), _u15863) = c_List_Olist_ONil(tc_prod(_u15861, _u15862))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_zip_Osimps_I1_J ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_zip_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u15864, _u15865), _u15866), c_List_Olist_ONil(_u15865)) = c_List_Olist_ONil(tc_prod(_u15864, _u15865))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_list_Osize_I1_J ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_list_Osize_I1_J-1, axiom, ( ( c_List_Olist_Olist__size(_u15867, _u15868, c_List_Olist_ONil(_u15867)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_listsum__simps_I1_J ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_listsum__simps_I1_J-1, axiom, ( ~class_Groups_Omonoid__add(_u15869) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15869), c_List_Olist_ONil(_u15869)) = c_Groups_Ozero__class_Ozero(_u15869)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_list_Osize_I3_J ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_list_Osize_I3_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15870)), c_List_Olist_ONil(_u15870)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_length__0__conv ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_length__0__conv-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15873)), _u15875) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u15875 = c_List_Olist_ONil(_u15873)) )).
% 20.36/20.57 cnf(fact_length__0__conv-2, axiom, ( ( _u15876 != c_List_Olist_ONil(_u15874)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15874)), _u15876) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_set__empty ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_set__empty-1, axiom, ( ( hAPP(c_List_Oset(_u15879), _u15881) != c_Orderings_Obot__class_Obot(tc_fun(_u15879, tc_HOL_Obool))) | ( _u15881 = c_List_Olist_ONil(_u15879)) )).
% 20.36/20.57 cnf(fact_set__empty-2, axiom, ( ( _u15882 != c_List_Olist_ONil(_u15880)) | ( hAPP(c_List_Oset(_u15880), _u15882) = c_Orderings_Obot__class_Obot(tc_fun(_u15880, tc_HOL_Obool))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_set__empty2 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_set__empty2-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u15885, tc_HOL_Obool)) != hAPP(c_List_Oset(_u15885), _u15887)) | ( _u15887 = c_List_Olist_ONil(_u15885)) )).
% 20.36/20.57 cnf(fact_set__empty2-2, axiom, ( ( _u15888 != c_List_Olist_ONil(_u15886)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u15886, tc_HOL_Obool)) = hAPP(c_List_Oset(_u15886), _u15888)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_List_Oset_Osimps_I1_J ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_List_Oset_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Oset(_u15889), c_List_Olist_ONil(_u15889)) = c_Orderings_Obot__class_Obot(tc_fun(_u15889, tc_HOL_Obool))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_list__update__code_I1_J ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_list__update__code_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u15890, c_List_Olist_ONil(_u15890)), _u15891), _u15892) = c_List_Olist_ONil(_u15890)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_list__update_Osimps_I1_J ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_list__update_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u15893, c_List_Olist_ONil(_u15893)), _u15894), _u15895) = c_List_Olist_ONil(_u15893)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_list__update__nonempty ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_list__update__nonempty-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u15900, _u15902), _u15904), _u15906) != c_List_Olist_ONil(_u15900)) | ( _u15902 = c_List_Olist_ONil(_u15900)) )).
% 20.36/20.57 cnf(fact_list__update__nonempty-2, axiom, ( ( _u15903 != c_List_Olist_ONil(_u15901)) | ( hAPP(hAPP(c_List_Olist__update(_u15901, _u15903), _u15905), _u15907) = c_List_Olist_ONil(_u15901)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_remove1__idem ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_remove1__idem-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15908), _u15909), hAPP(c_List_Oset(_u15908), _u15910))) | ( c_List_Oremove1(_u15908, _u15909, _u15910) = _u15910) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_notin__set__remove1 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_notin__set__remove1-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15911), _u15912), hAPP(c_List_Oset(_u15911), _u15913))) | ~hBOOL(hAPP(hAPP(c_member(_u15911), _u15912), hAPP(c_List_Oset(_u15911), c_List_Oremove1(_u15911, _u15914, _u15913)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_in__set__remove1 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_in__set__remove1-1, axiom, ( ( _u15915 = _u15916) | ~hBOOL(hAPP(hAPP(c_member(_u15917), _u15915), hAPP(c_List_Oset(_u15917), c_List_Oremove1(_u15917, _u15916, _u15918)))) | hBOOL(hAPP(hAPP(c_member(_u15917), _u15915), hAPP(c_List_Oset(_u15917), _u15918))) )).
% 20.36/20.57 cnf(fact_in__set__remove1-2, axiom, ( ( _u15915 = _u15916) | ~hBOOL(hAPP(hAPP(c_member(_u15917), _u15915), hAPP(c_List_Oset(_u15917), _u15918))) | hBOOL(hAPP(hAPP(c_member(_u15917), _u15915), hAPP(c_List_Oset(_u15917), c_List_Oremove1(_u15917, _u15916, _u15918)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_sublist__empty ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_sublist__empty-1, axiom, ( ( c_List_Osublist(_u15919, _u15920, c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) = c_List_Olist_ONil(_u15919)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_set__remove1__subset ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_set__remove1__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15921, tc_HOL_Obool)), hAPP(c_List_Oset(_u15921), c_List_Oremove1(_u15921, _u15922, _u15923))), hAPP(c_List_Oset(_u15921), _u15923))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_length__greater__0__conv ( axiom ) converted to clauses:
% 20.36/20.57 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(_u15926)), _u15928))) | ( _u15928 != c_List_Olist_ONil(_u15926)) )).
% 20.36/20.57 cnf(fact_length__greater__0__conv-2, axiom, ( ( _u15929 = c_List_Olist_ONil(_u15927)) | 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(_u15927)), _u15929))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_take__1__Cons ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_take__1__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u15930), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u15930), _u15931), _u15932)) = hAPP(hAPP(c_List_Olist_OCons(_u15930), _u15931), c_List_Olist_ONil(_u15930))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_not__Nil__listrel1 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_not__Nil__listrel1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15933), tc_List_Olist(_u15933))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15933), tc_List_Olist(_u15933)), c_List_Olist_ONil(_u15933)), _u15934)), c_List_Olistrel1(_u15933, _u15935))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_not__listrel1__Nil ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_not__listrel1__Nil-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15936), tc_List_Olist(_u15936))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15936), tc_List_Olist(_u15936)), _u15937), c_List_Olist_ONil(_u15936))), c_List_Olistrel1(_u15936, _u15938))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_listrel_ONil ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_listrel_ONil-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15939), tc_List_Olist(_u15939))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15939), tc_List_Olist(_u15939)), c_List_Olist_ONil(_u15939)), c_List_Olist_ONil(_u15939))), c_List_Olistrel(_u15939, _u15940))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_lexord__Nil__right ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_lexord__Nil__right-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15941), tc_List_Olist(_u15941))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15941), tc_List_Olist(_u15941)), _u15942), c_List_Olist_ONil(_u15941))), c_List_Olexord(_u15941, _u15943))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Nil__notin__lex ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Nil__notin__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15944), tc_List_Olist(_u15944))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15944), tc_List_Olist(_u15944)), c_List_Olist_ONil(_u15944)), _u15945)), c_List_Olex(_u15944, _u15946))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Nil2__notin__lex ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Nil2__notin__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15947), tc_List_Olist(_u15947))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15947), tc_List_Olist(_u15947)), _u15948), c_List_Olist_ONil(_u15947))), c_List_Olex(_u15947, _u15949))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_take__Cons ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_take__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u15950), _u15951), hAPP(hAPP(c_List_Olist_OCons(_u15950), _u15952), _u15953)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u15950), c_List_Olist_ONil(_u15950), hAPP(hAPP(c_COMBB(tc_List_Olist(_u15950), tc_List_Olist(_u15950), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u15950), _u15952)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u15950), tc_List_Olist(_u15950)), c_List_Otake(_u15950)), _u15953)), _u15951)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_upto_Osimps ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_upto_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u15956), _u15958)) | ( c_List_Oupto(_u15956, _u15958) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u15956), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15956), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u15958))) )).
% 20.36/20.57 cnf(fact_upto_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u15957), _u15959)) | ( c_List_Oupto(_u15957, _u15959) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_sublist__singleton ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_sublist__singleton-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u15963)) | ( c_List_Osublist(_u15965, hAPP(hAPP(c_List_Olist_OCons(_u15965), _u15967), c_List_Olist_ONil(_u15965)), _u15963) = hAPP(hAPP(c_List_Olist_OCons(_u15965), _u15967), c_List_Olist_ONil(_u15965))) )).
% 20.36/20.57 cnf(fact_sublist__singleton-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u15964)) | ( c_List_Osublist(_u15966, hAPP(hAPP(c_List_Olist_OCons(_u15966), _u15968), c_List_Olist_ONil(_u15966)), _u15964) = c_List_Olist_ONil(_u15966)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_lists__empty ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_lists__empty-1, axiom, ( ( c_List_Olists(_u15969, c_Orderings_Obot__class_Obot(tc_fun(_u15969, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15969)), c_List_Olist_ONil(_u15969)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15969), tc_HOL_Obool)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_take__Cons_H ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_take__Cons_H-1, axiom, ( ( _u15974 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u15976), _u15974), hAPP(hAPP(c_List_Olist_OCons(_u15976), _u15978), _u15980)) = c_List_Olist_ONil(_u15976)) )).
% 20.36/20.57 cnf(fact_take__Cons_H-2, axiom, ( ( _u15975 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u15977), _u15975), hAPP(hAPP(c_List_Olist_OCons(_u15977), _u15979), _u15981)) = hAPP(hAPP(c_List_Olist_OCons(_u15977), _u15979), hAPP(hAPP(c_List_Otake(_u15977), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u15975), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u15981))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_upto__rec__number__of ( axiom ) converted to clauses:
% 20.36/20.57 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), _u15984)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15986))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15984), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15986)) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15984)), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15984)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15986)))) )).
% 20.36/20.57 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), _u15985)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15987))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15985), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15987)) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_listrel__Nil ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_listrel__Nil-1, axiom, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u15988), tc_List_Olist(_u15988), c_List_Olistrel(_u15988, _u15989)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15988)), c_List_Olist_ONil(_u15988)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15988), tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15988)), c_List_Olist_ONil(_u15988)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15988), tc_HOL_Obool)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_set__Cons__sing__Nil ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_set__Cons__sing__Nil-1, axiom, ( ( c_List_Oset__Cons(_u15990, _u15991, hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15990)), c_List_Olist_ONil(_u15990)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15990), tc_HOL_Obool)))) = hAPP(c_Set_Oimage(_u15990, tc_List_Olist(_u15990), hAPP(hAPP(c_COMBC(_u15990, tc_List_Olist(_u15990), tc_List_Olist(_u15990)), c_List_Olist_OCons(_u15990)), c_List_Olist_ONil(_u15990))), _u15991)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_length__remove1 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_length__remove1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15995), _u15997), hAPP(c_List_Oset(_u15995), _u15999))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15995)), c_List_Oremove1(_u15995, _u15997, _u15999)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15995)), _u15999)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 20.36/20.57 cnf(fact_length__remove1-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15996), _u15998), hAPP(c_List_Oset(_u15996), _u16000))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15996)), c_List_Oremove1(_u15996, _u15998, _u16000)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15996)), _u16000)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_upto_Opsimps ( axiom ) converted to clauses:
% 20.36/20.57 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), _u16001), _u16002))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u16001), _u16002)) | ( c_List_Oupto(_u16001, _u16002) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u16001), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u16001), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u16002))) )).
% 20.36/20.57 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), _u16001), _u16002))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u16001), _u16002)) | ( c_List_Oupto(_u16001, _u16002) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_select ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_select-1, axiom, ( ( _u16003 = c_List_Olist_ONil(_u16004)) | hBOOL(hAPP(hAPP(c_member(_u16004), hAPP(c_Product__Type_Ofst(_u16004, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect(_u16004, _u16003), _u16005))), hAPP(c_List_Oset(_u16004), _u16003))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_listset_Osimps_I1_J ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_listset_Osimps_I1_J-1, axiom, ( ( c_List_Olistset(_u16006, c_List_Olist_ONil(tc_fun(_u16006, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u16006)), c_List_Olist_ONil(_u16006)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u16006), tc_HOL_Obool)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_zip__Cons1 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_zip__Cons1-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16007, _u16008), hAPP(hAPP(c_List_Olist_OCons(_u16007), _u16009), _u16010)), _u16011) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u16007, _u16008)), _u16008, c_List_Olist_ONil(tc_prod(_u16007, _u16008)), hAPP(hAPP(c_COMBC(_u16008, tc_fun(tc_List_Olist(_u16008), tc_List_Olist(tc_prod(_u16007, _u16008))), tc_fun(tc_List_Olist(_u16008), tc_List_Olist(tc_prod(_u16007, _u16008)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u16007, _u16008)), tc_List_Olist(tc_prod(_u16007, _u16008))), tc_fun(tc_fun(tc_List_Olist(_u16008), tc_List_Olist(tc_prod(_u16007, _u16008))), tc_fun(tc_List_Olist(_u16008), tc_List_Olist(tc_prod(_u16007, _u16008)))), _u16008), c_COMBB(tc_List_Olist(tc_prod(_u16007, _u16008)), tc_List_Olist(tc_prod(_u16007, _u16008)), tc_List_Olist(_u16008))), hAPP(hAPP(c_COMBB(tc_prod(_u16007, _u16008), tc_fun(tc_List_Olist(tc_prod(_u16007, _u16008)), tc_List_Olist(tc_prod(_u16007, _u16008))), _u16008), c_List_Olist_OCons(tc_prod(_u16007, _u16008))), hAPP(c_Product__Type_OPair(_u16007, _u16008), _u16009)))), hAPP(c_List_Ozip(_u16007, _u16008), _u16010))), _u16011)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_list_Osimps_I5_J ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_list_Osimps_I5_J-1, axiom, ( ( hAPP(c_List_Olist_Olist__case(_u16012, _u16013, _u16014, _u16015), hAPP(hAPP(c_List_Olist_OCons(_u16013), _u16016), _u16017)) = hAPP(hAPP(_u16015, _u16016), _u16017)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_list_Osimps_I4_J ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_list_Osimps_I4_J-1, axiom, ( ( hAPP(c_List_Olist_Olist__case(_u16018, _u16019, _u16020, _u16021), c_List_Olist_ONil(_u16019)) = _u16020) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_listset_Osimps_I2_J ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_listset_Osimps_I2_J-1, axiom, ( ( c_List_Olistset(_u16022, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u16022, tc_HOL_Obool)), _u16023), _u16024)) = c_List_Oset__Cons(_u16022, _u16023, c_List_Olistset(_u16022, _u16024))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_zip__Cons ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_zip__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16025, _u16026), _u16027), hAPP(hAPP(c_List_Olist_OCons(_u16026), _u16028), _u16029)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u16025, _u16026)), _u16025, c_List_Olist_ONil(tc_prod(_u16025, _u16026)), hAPP(hAPP(c_COMBC(_u16025, tc_fun(tc_List_Olist(_u16025), tc_List_Olist(tc_prod(_u16025, _u16026))), tc_fun(tc_List_Olist(_u16025), tc_List_Olist(tc_prod(_u16025, _u16026)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u16025, _u16026)), tc_List_Olist(tc_prod(_u16025, _u16026))), tc_fun(tc_fun(tc_List_Olist(_u16025), tc_List_Olist(tc_prod(_u16025, _u16026))), tc_fun(tc_List_Olist(_u16025), tc_List_Olist(tc_prod(_u16025, _u16026)))), _u16025), c_COMBB(tc_List_Olist(tc_prod(_u16025, _u16026)), tc_List_Olist(tc_prod(_u16025, _u16026)), tc_List_Olist(_u16025))), hAPP(hAPP(c_COMBB(tc_prod(_u16025, _u16026), tc_fun(tc_List_Olist(tc_prod(_u16025, _u16026)), tc_List_Olist(tc_prod(_u16025, _u16026))), _u16025), c_List_Olist_OCons(tc_prod(_u16025, _u16026))), hAPP(hAPP(c_COMBC(_u16025, _u16026, tc_prod(_u16025, _u16026)), c_Product__Type_OPair(_u16025, _u16026)), _u16028)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16025), tc_List_Olist(_u16026), tc_List_Olist(tc_prod(_u16025, _u16026))), c_List_Ozip(_u16025, _u16026)), _u16029))), _u16027)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_sorted__list__of__set__remove ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_sorted__list__of__set__remove-1, axiom, ( ~class_Orderings_Olinorder(_u16030) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16030), _u16031)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u16030, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16030, tc_HOL_Obool)), _u16031), hAPP(hAPP(c_Set_Oinsert(_u16030), _u16032), c_Orderings_Obot__class_Obot(tc_fun(_u16030, tc_HOL_Obool))))) = c_List_Oremove1(_u16030, _u16032, c_List_Olinorder__class_Osorted__list__of__set(_u16030, _u16031))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_upto_Opinduct ( axiom ) converted to clauses:
% 20.36/20.57 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), _u16035), _u16036))) | hBOOL(hAPP(hAPP(_u16037, _u16035), _u16036)) | 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), skolem422(_u16037, _u16036, _u16035)), skolem423(_u16037, _u16036, _u16035)))) )).
% 20.36/20.57 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), _u16035), _u16036))) | hBOOL(hAPP(hAPP(_u16037, _u16035), _u16036)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem422(_u16037, _u16036, _u16035)), skolem423(_u16037, _u16036, _u16035))) | hBOOL(hAPP(hAPP(_u16037, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem422(_u16037, _u16036, _u16035)), c_Groups_Oone__class_Oone(tc_Int_Oint))), skolem423(_u16037, _u16036, _u16035))) )).
% 20.36/20.57 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), _u16035), _u16036))) | hBOOL(hAPP(hAPP(_u16037, _u16035), _u16036)) | ~hBOOL(hAPP(hAPP(_u16037, skolem422(_u16037, _u16036, _u16035)), skolem423(_u16037, _u16036, _u16035))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_sorted__list__of__set__empty ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_sorted__list__of__set__empty-1, axiom, ( ~class_Orderings_Olinorder(_u16038) | ( c_List_Olinorder__class_Osorted__list__of__set(_u16038, c_Orderings_Obot__class_Obot(tc_fun(_u16038, tc_HOL_Obool))) = c_List_Olist_ONil(_u16038)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_anamorph_Osimps ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_anamorph_Osimps-1, axiom, ( ( _u16044 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(hAPP(c_Lazy__Sequence_Oanamorph(_u16046, _u16048, _u16050), _u16044), _u16052) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16048), _u16046), c_List_Olist_ONil(_u16048)), _u16052)) )).
% 20.36/20.57 cnf(fact_anamorph_Osimps-2, axiom, ( ( _u16045 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(hAPP(c_Lazy__Sequence_Oanamorph(_u16047, _u16049, _u16051), _u16045), _u16053) = c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(_u16049), _u16047), tc_prod(_u16049, _u16047), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16049), _u16047), c_List_Olist_ONil(_u16049)), _u16053), hAPP(c_Product__Type_Oprod_Oprod__case(_u16049, _u16047, tc_prod(tc_List_Olist(_u16049), _u16047)), hAPP(hAPP(c_COMBC(_u16049, tc_fun(_u16047, tc_prod(tc_List_Olist(_u16049), _u16047)), tc_fun(_u16047, tc_prod(tc_List_Olist(_u16049), _u16047))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(_u16049), _u16047), tc_prod(tc_List_Olist(_u16049), _u16047)), tc_fun(tc_fun(_u16047, tc_prod(tc_List_Olist(_u16049), _u16047)), tc_fun(_u16047, tc_prod(tc_List_Olist(_u16049), _u16047))), _u16049), c_COMBB(tc_prod(tc_List_Olist(_u16049), _u16047), tc_prod(tc_List_Olist(_u16049), _u16047), _u16047)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u16049), tc_fun(_u16047, tc_prod(tc_List_Olist(_u16049), _u16047))), tc_fun(tc_prod(tc_List_Olist(_u16049), _u16047), tc_prod(tc_List_Olist(_u16049), _u16047)), _u16049), c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u16049), _u16047, tc_prod(tc_List_Olist(_u16049), _u16047))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u16049), tc_List_Olist(_u16049)), tc_fun(tc_List_Olist(_u16049), tc_fun(_u16047, tc_prod(tc_List_Olist(_u16049), _u16047))), _u16049), hAPP(c_COMBB(tc_List_Olist(_u16049), tc_fun(_u16047, tc_prod(tc_List_Olist(_u16049), _u16047)), tc_List_Olist(_u16049)), c_Product__Type_OPair(tc_List_Olist(_u16049), _u16047))), c_List_Olist_OCons(_u16049))))), hAPP(c_Lazy__Sequence_Oanamorph(_u16047, _u16049, _u16051), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u16045), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))))), hAPP(_u16051, _u16053))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_sublist__Cons ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_sublist__Cons-1, axiom, ( ( c_List_Osublist(_u16054, hAPP(hAPP(c_List_Olist_OCons(_u16054), _u16055), _u16056), _u16057) = hAPP(hAPP(c_List_Oappend(_u16054), hAPP(hAPP(hAPP(c_If(tc_List_Olist(_u16054)), hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16057)), hAPP(hAPP(c_List_Olist_OCons(_u16054), _u16055), c_List_Olist_ONil(_u16054))), c_List_Olist_ONil(_u16054))), c_List_Osublist(_u16054, _u16056, 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)), _u16057))))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_append__eq__Cons__conv ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_append__eq__Cons__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16065), _u16067), _u16069) != hAPP(hAPP(c_List_Olist_OCons(_u16065), _u16071), _u16073)) | ( _u16067 = c_List_Olist_ONil(_u16065)) | ( _u16067 = hAPP(hAPP(c_List_Olist_OCons(_u16065), _u16071), skolem424(_u16073, _u16071, _u16069, _u16067, _u16065))) )).
% 20.36/20.57 cnf(fact_append__eq__Cons__conv-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16065), _u16067), _u16069) != hAPP(hAPP(c_List_Olist_OCons(_u16065), _u16071), _u16073)) | ( _u16067 = c_List_Olist_ONil(_u16065)) | ( hAPP(hAPP(c_List_Oappend(_u16065), skolem424(_u16073, _u16071, _u16069, _u16067, _u16065)), _u16069) = _u16073) )).
% 20.36/20.57 cnf(fact_append__eq__Cons__conv-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16065), _u16067), _u16069) != hAPP(hAPP(c_List_Olist_OCons(_u16065), _u16071), _u16073)) | ( _u16069 = hAPP(hAPP(c_List_Olist_OCons(_u16065), _u16071), _u16073)) | ( _u16067 = hAPP(hAPP(c_List_Olist_OCons(_u16065), _u16071), skolem424(_u16073, _u16071, _u16069, _u16067, _u16065))) )).
% 20.36/20.57 cnf(fact_append__eq__Cons__conv-4, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16065), _u16067), _u16069) != hAPP(hAPP(c_List_Olist_OCons(_u16065), _u16071), _u16073)) | ( _u16069 = hAPP(hAPP(c_List_Olist_OCons(_u16065), _u16071), _u16073)) | ( hAPP(hAPP(c_List_Oappend(_u16065), skolem424(_u16073, _u16071, _u16069, _u16067, _u16065)), _u16069) = _u16073) )).
% 20.36/20.57 cnf(fact_append__eq__Cons__conv-5, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16066), _u16068), _u16070) = hAPP(hAPP(c_List_Olist_OCons(_u16066), _u16072), _u16074)) | ( _u16068 != c_List_Olist_ONil(_u16066)) | ( _u16070 != hAPP(hAPP(c_List_Olist_OCons(_u16066), _u16072), _u16074)) )).
% 20.36/20.57 cnf(fact_append__eq__Cons__conv-6, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16066), _u16068), _u16070) = hAPP(hAPP(c_List_Olist_OCons(_u16066), _u16072), _u16074)) | ( _u16068 != hAPP(hAPP(c_List_Olist_OCons(_u16066), _u16072), _u16059)) | ( hAPP(hAPP(c_List_Oappend(_u16066), _u16059), _u16070) != _u16074) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Cons__eq__append__conv ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Cons__eq__append__conv-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16082), _u16084), _u16086) != hAPP(hAPP(c_List_Oappend(_u16082), _u16088), _u16090)) | ( _u16088 = c_List_Olist_ONil(_u16082)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16082), _u16084), skolem425(_u16090, _u16088, _u16086, _u16084, _u16082)) = _u16088) )).
% 20.36/20.57 cnf(fact_Cons__eq__append__conv-2, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16082), _u16084), _u16086) != hAPP(hAPP(c_List_Oappend(_u16082), _u16088), _u16090)) | ( _u16088 = c_List_Olist_ONil(_u16082)) | ( _u16086 = hAPP(hAPP(c_List_Oappend(_u16082), skolem425(_u16090, _u16088, _u16086, _u16084, _u16082)), _u16090)) )).
% 20.36/20.57 cnf(fact_Cons__eq__append__conv-3, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16082), _u16084), _u16086) != hAPP(hAPP(c_List_Oappend(_u16082), _u16088), _u16090)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16082), _u16084), _u16086) = _u16090) | ( hAPP(hAPP(c_List_Olist_OCons(_u16082), _u16084), skolem425(_u16090, _u16088, _u16086, _u16084, _u16082)) = _u16088) )).
% 20.36/20.57 cnf(fact_Cons__eq__append__conv-4, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16082), _u16084), _u16086) != hAPP(hAPP(c_List_Oappend(_u16082), _u16088), _u16090)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16082), _u16084), _u16086) = _u16090) | ( _u16086 = hAPP(hAPP(c_List_Oappend(_u16082), skolem425(_u16090, _u16088, _u16086, _u16084, _u16082)), _u16090)) )).
% 20.36/20.57 cnf(fact_Cons__eq__append__conv-5, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16083), _u16085), _u16087) = hAPP(hAPP(c_List_Oappend(_u16083), _u16089), _u16091)) | ( _u16089 != c_List_Olist_ONil(_u16083)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16083), _u16085), _u16087) != _u16091) )).
% 20.36/20.57 cnf(fact_Cons__eq__append__conv-6, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16083), _u16085), _u16087) = hAPP(hAPP(c_List_Oappend(_u16083), _u16089), _u16091)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16083), _u16085), _u16076) != _u16089) | ( _u16087 != hAPP(hAPP(c_List_Oappend(_u16083), _u16076), _u16091)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_append1__eq__conv ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_append1__eq__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16097), _u16099), hAPP(hAPP(c_List_Olist_OCons(_u16097), _u16101), c_List_Olist_ONil(_u16097))) != hAPP(hAPP(c_List_Oappend(_u16097), _u16103), hAPP(hAPP(c_List_Olist_OCons(_u16097), _u16105), c_List_Olist_ONil(_u16097)))) | ( _u16099 = _u16103) )).
% 20.36/20.57 cnf(fact_append1__eq__conv-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16097), _u16099), hAPP(hAPP(c_List_Olist_OCons(_u16097), _u16101), c_List_Olist_ONil(_u16097))) != hAPP(hAPP(c_List_Oappend(_u16097), _u16103), hAPP(hAPP(c_List_Olist_OCons(_u16097), _u16105), c_List_Olist_ONil(_u16097)))) | ( _u16101 = _u16105) )).
% 20.36/20.57 cnf(fact_append1__eq__conv-3, axiom, ( ( _u16100 != _u16104) | ( _u16102 != _u16106) | ( hAPP(hAPP(c_List_Oappend(_u16098), _u16100), hAPP(hAPP(c_List_Olist_OCons(_u16098), _u16102), c_List_Olist_ONil(_u16098))) = hAPP(hAPP(c_List_Oappend(_u16098), _u16104), hAPP(hAPP(c_List_Olist_OCons(_u16098), _u16106), c_List_Olist_ONil(_u16098)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_append__Cons ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_append__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16107), hAPP(hAPP(c_List_Olist_OCons(_u16107), _u16108), _u16109)), _u16110) = hAPP(hAPP(c_List_Olist_OCons(_u16107), _u16108), hAPP(hAPP(c_List_Oappend(_u16107), _u16109), _u16110))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Cons__eq__appendI ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Cons__eq__appendI-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16111), _u16112), _u16113) != _u16114) | ( _u16115 != hAPP(hAPP(c_List_Oappend(_u16111), _u16113), _u16116)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16111), _u16112), _u16115) = hAPP(hAPP(c_List_Oappend(_u16111), _u16114), _u16116)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_append__in__lists__conv ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_append__in__lists__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16121)), hAPP(hAPP(c_List_Oappend(_u16121), _u16123), _u16125)), c_List_Olists(_u16121, _u16127))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16121)), _u16123), c_List_Olists(_u16121, _u16127))) )).
% 20.36/20.57 cnf(fact_append__in__lists__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16121)), hAPP(hAPP(c_List_Oappend(_u16121), _u16123), _u16125)), c_List_Olists(_u16121, _u16127))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16121)), _u16125), c_List_Olists(_u16121, _u16127))) )).
% 20.36/20.57 cnf(fact_append__in__lists__conv-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16122)), _u16124), c_List_Olists(_u16122, _u16128))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16122)), _u16126), c_List_Olists(_u16122, _u16128))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16122)), hAPP(hAPP(c_List_Oappend(_u16122), _u16124), _u16126)), c_List_Olists(_u16122, _u16128))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_append__eq__appendI ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_append__eq__appendI-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16129), _u16130), _u16131) != _u16132) | ( _u16133 != hAPP(hAPP(c_List_Oappend(_u16129), _u16131), _u16134)) | ( hAPP(hAPP(c_List_Oappend(_u16129), _u16130), _u16133) = hAPP(hAPP(c_List_Oappend(_u16129), _u16132), _u16134)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_append__same__eq ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_append__same__eq-1, axiom, ( ( _u16141 = _u16145) | ( hAPP(hAPP(c_List_Oappend(_u16139), _u16141), _u16143) != hAPP(hAPP(c_List_Oappend(_u16139), _u16145), _u16143)) )).
% 20.36/20.57 cnf(fact_append__same__eq-2, axiom, ( ( _u16142 != _u16146) | ( hAPP(hAPP(c_List_Oappend(_u16140), _u16142), _u16144) = hAPP(hAPP(c_List_Oappend(_u16140), _u16146), _u16144)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_same__append__eq ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_same__append__eq-1, axiom, ( ( _u16155 = _u16157) | ( hAPP(hAPP(c_List_Oappend(_u16151), _u16153), _u16155) != hAPP(hAPP(c_List_Oappend(_u16151), _u16153), _u16157)) )).
% 20.36/20.57 cnf(fact_same__append__eq-2, axiom, ( ( _u16156 != _u16158) | ( hAPP(hAPP(c_List_Oappend(_u16152), _u16154), _u16156) = hAPP(hAPP(c_List_Oappend(_u16152), _u16154), _u16158)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_append__eq__append__conv2 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_append__eq__append__conv2-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16170), _u16172), _u16174) != hAPP(hAPP(c_List_Oappend(_u16170), _u16176), _u16178)) | ( _u16172 = hAPP(hAPP(c_List_Oappend(_u16170), _u16176), skolem426(_u16178, _u16176, _u16174, _u16172, _u16170))) | ( hAPP(hAPP(c_List_Oappend(_u16170), _u16172), skolem427(_u16178, _u16176, _u16174, _u16172, _u16170)) = _u16176) )).
% 20.36/20.57 cnf(fact_append__eq__append__conv2-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16170), _u16172), _u16174) != hAPP(hAPP(c_List_Oappend(_u16170), _u16176), _u16178)) | ( _u16172 = hAPP(hAPP(c_List_Oappend(_u16170), _u16176), skolem426(_u16178, _u16176, _u16174, _u16172, _u16170))) | ( _u16174 = hAPP(hAPP(c_List_Oappend(_u16170), skolem427(_u16178, _u16176, _u16174, _u16172, _u16170)), _u16178)) )).
% 20.36/20.57 cnf(fact_append__eq__append__conv2-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16170), _u16172), _u16174) != hAPP(hAPP(c_List_Oappend(_u16170), _u16176), _u16178)) | ( hAPP(hAPP(c_List_Oappend(_u16170), skolem426(_u16178, _u16176, _u16174, _u16172, _u16170)), _u16174) = _u16178) | ( hAPP(hAPP(c_List_Oappend(_u16170), _u16172), skolem427(_u16178, _u16176, _u16174, _u16172, _u16170)) = _u16176) )).
% 20.36/20.57 cnf(fact_append__eq__append__conv2-4, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16170), _u16172), _u16174) != hAPP(hAPP(c_List_Oappend(_u16170), _u16176), _u16178)) | ( hAPP(hAPP(c_List_Oappend(_u16170), skolem426(_u16178, _u16176, _u16174, _u16172, _u16170)), _u16174) = _u16178) | ( _u16174 = hAPP(hAPP(c_List_Oappend(_u16170), skolem427(_u16178, _u16176, _u16174, _u16172, _u16170)), _u16178)) )).
% 20.36/20.57 cnf(fact_append__eq__append__conv2-5, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16171), _u16173), _u16175) = hAPP(hAPP(c_List_Oappend(_u16171), _u16177), _u16179)) | ( _u16173 != hAPP(hAPP(c_List_Oappend(_u16171), _u16177), _u16168)) | ( hAPP(hAPP(c_List_Oappend(_u16171), _u16168), _u16175) != _u16179) )).
% 20.36/20.57 cnf(fact_append__eq__append__conv2-6, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16171), _u16173), _u16175) = hAPP(hAPP(c_List_Oappend(_u16171), _u16177), _u16179)) | ( hAPP(hAPP(c_List_Oappend(_u16171), _u16173), _u16169) != _u16177) | ( _u16175 != hAPP(hAPP(c_List_Oappend(_u16171), _u16169), _u16179)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_append__assoc ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_append__assoc-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16180), hAPP(hAPP(c_List_Oappend(_u16180), _u16181), _u16182)), _u16183) = hAPP(hAPP(c_List_Oappend(_u16180), _u16181), hAPP(hAPP(c_List_Oappend(_u16180), _u16182), _u16183))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_listsum__append ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_listsum__append-1, axiom, ( ~class_Groups_Omonoid__add(_u16184) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16184), hAPP(hAPP(c_List_Oappend(_u16184), _u16185), _u16186)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16184), hAPP(c_List_Omonoid__add__class_Olistsum(_u16184), _u16185)), hAPP(c_List_Omonoid__add__class_Olistsum(_u16184), _u16186))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_length__append ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_length__append-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16187)), hAPP(hAPP(c_List_Oappend(_u16187), _u16188), _u16189)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16187)), _u16188)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16187)), _u16189))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_zip__append ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_zip__append-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16190)), _u16191) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16192)), _u16193)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16190)), _u16194) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16192)), _u16195)) | ( hAPP(hAPP(c_List_Ozip(_u16190, _u16192), hAPP(hAPP(c_List_Oappend(_u16190), _u16191), _u16194)), hAPP(hAPP(c_List_Oappend(_u16192), _u16193), _u16195)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u16190, _u16192)), hAPP(hAPP(c_List_Ozip(_u16190, _u16192), _u16191), _u16193)), hAPP(hAPP(c_List_Ozip(_u16190, _u16192), _u16194), _u16195))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_set__append ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_set__append-1, axiom, ( ( hAPP(c_List_Oset(_u16196), hAPP(hAPP(c_List_Oappend(_u16196), _u16197), _u16198)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16196, tc_HOL_Obool)), hAPP(c_List_Oset(_u16196), _u16197)), hAPP(c_List_Oset(_u16196), _u16198))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_append__Nil ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_append__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16199), c_List_Olist_ONil(_u16199)), _u16200) = _u16200) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Nil__is__append__conv ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Nil__is__append__conv-1, axiom, ( ( c_List_Olist_ONil(_u16204) != hAPP(hAPP(c_List_Oappend(_u16204), _u16206), _u16208)) | ( _u16206 = c_List_Olist_ONil(_u16204)) )).
% 20.36/20.57 cnf(fact_Nil__is__append__conv-2, axiom, ( ( c_List_Olist_ONil(_u16204) != hAPP(hAPP(c_List_Oappend(_u16204), _u16206), _u16208)) | ( _u16208 = c_List_Olist_ONil(_u16204)) )).
% 20.36/20.57 cnf(fact_Nil__is__append__conv-3, axiom, ( ( _u16207 != c_List_Olist_ONil(_u16205)) | ( _u16209 != c_List_Olist_ONil(_u16205)) | ( c_List_Olist_ONil(_u16205) = hAPP(hAPP(c_List_Oappend(_u16205), _u16207), _u16209)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_append__Nil2 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_append__Nil2-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16210), _u16211), c_List_Olist_ONil(_u16210)) = _u16211) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_self__append__conv ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_self__append__conv-1, axiom, ( ( _u16219 = c_List_Olist_ONil(_u16217)) | ( _u16215 != hAPP(hAPP(c_List_Oappend(_u16217), _u16215), _u16219)) )).
% 20.36/20.57 cnf(fact_self__append__conv-2, axiom, ( ( _u16220 != c_List_Olist_ONil(_u16218)) | ( _u16216 = hAPP(hAPP(c_List_Oappend(_u16218), _u16216), _u16220)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_self__append__conv2 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_self__append__conv2-1, axiom, ( ( _u16228 = c_List_Olist_ONil(_u16226)) | ( _u16224 != hAPP(hAPP(c_List_Oappend(_u16226), _u16228), _u16224)) )).
% 20.36/20.57 cnf(fact_self__append__conv2-2, axiom, ( ( _u16229 != c_List_Olist_ONil(_u16227)) | ( _u16225 = hAPP(hAPP(c_List_Oappend(_u16227), _u16229), _u16225)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_append__is__Nil__conv ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_append__is__Nil__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16233), _u16235), _u16237) != c_List_Olist_ONil(_u16233)) | ( _u16235 = c_List_Olist_ONil(_u16233)) )).
% 20.36/20.57 cnf(fact_append__is__Nil__conv-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16233), _u16235), _u16237) != c_List_Olist_ONil(_u16233)) | ( _u16237 = c_List_Olist_ONil(_u16233)) )).
% 20.36/20.57 cnf(fact_append__is__Nil__conv-3, axiom, ( ( _u16236 != c_List_Olist_ONil(_u16234)) | ( _u16238 != c_List_Olist_ONil(_u16234)) | ( hAPP(hAPP(c_List_Oappend(_u16234), _u16236), _u16238) = c_List_Olist_ONil(_u16234)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_append__self__conv ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_append__self__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16242), _u16244), _u16246) != _u16244) | ( _u16246 = c_List_Olist_ONil(_u16242)) )).
% 20.36/20.57 cnf(fact_append__self__conv-2, axiom, ( ( _u16247 != c_List_Olist_ONil(_u16243)) | ( hAPP(hAPP(c_List_Oappend(_u16243), _u16245), _u16247) = _u16245) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_append__self__conv2 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_append__self__conv2-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16251), _u16253), _u16255) != _u16255) | ( _u16253 = c_List_Olist_ONil(_u16251)) )).
% 20.36/20.57 cnf(fact_append__self__conv2-2, axiom, ( ( _u16254 != c_List_Olist_ONil(_u16252)) | ( hAPP(hAPP(c_List_Oappend(_u16252), _u16254), _u16256) = _u16256) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_eq__Nil__appendI ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_eq__Nil__appendI-1, axiom, ( ( _u16257 != _u16258) | ( _u16257 = hAPP(hAPP(c_List_Oappend(_u16259), c_List_Olist_ONil(_u16259)), _u16258)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_butlast__append ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_butlast__append-1, axiom, ( ( _u16263 != c_List_Olist_ONil(_u16265)) | ( c_List_Obutlast(_u16265, hAPP(hAPP(c_List_Oappend(_u16265), _u16267), _u16263)) = c_List_Obutlast(_u16265, _u16267)) )).
% 20.36/20.57 cnf(fact_butlast__append-2, axiom, ( ( _u16264 = c_List_Olist_ONil(_u16266)) | ( c_List_Obutlast(_u16266, hAPP(hAPP(c_List_Oappend(_u16266), _u16268), _u16264)) = hAPP(hAPP(c_List_Oappend(_u16266), _u16268), c_List_Obutlast(_u16266, _u16264))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_nth__append__length ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_nth__append__length-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u16269), hAPP(hAPP(c_List_Oappend(_u16269), _u16270), hAPP(hAPP(c_List_Olist_OCons(_u16269), _u16271), _u16272))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16269)), _u16270)) = _u16271) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_nth__append__length__plus ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_nth__append__length__plus-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u16273), hAPP(hAPP(c_List_Oappend(_u16273), _u16274), _u16275)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16273)), _u16274)), _u16276)) = hAPP(hAPP(c_List_Onth(_u16273), _u16275), _u16276)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_take__append ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_take__append-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u16277), _u16278), hAPP(hAPP(c_List_Oappend(_u16277), _u16279), _u16280)) = hAPP(hAPP(c_List_Oappend(_u16277), hAPP(hAPP(c_List_Otake(_u16277), _u16278), _u16279)), hAPP(hAPP(c_List_Otake(_u16277), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16278), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16277)), _u16279))), _u16280))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_list__update__append1 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_list__update__append1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16281), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16282)), _u16283))) | ( hAPP(hAPP(c_List_Olist__update(_u16282, hAPP(hAPP(c_List_Oappend(_u16282), _u16283), _u16284)), _u16281), _u16285) = hAPP(hAPP(c_List_Oappend(_u16282), hAPP(hAPP(c_List_Olist__update(_u16282, _u16283), _u16281), _u16285)), _u16284)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_list__update__length ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_list__update__length-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u16286, hAPP(hAPP(c_List_Oappend(_u16286), _u16287), hAPP(hAPP(c_List_Olist_OCons(_u16286), _u16288), _u16289))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16286)), _u16287)), _u16290) = hAPP(hAPP(c_List_Oappend(_u16286), _u16287), hAPP(hAPP(c_List_Olist_OCons(_u16286), _u16290), _u16289))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_remove1__append ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_remove1__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16295), _u16297), hAPP(c_List_Oset(_u16295), _u16299))) | ( c_List_Oremove1(_u16295, _u16297, hAPP(hAPP(c_List_Oappend(_u16295), _u16299), _u16301)) = hAPP(hAPP(c_List_Oappend(_u16295), c_List_Oremove1(_u16295, _u16297, _u16299)), _u16301)) )).
% 20.36/20.57 cnf(fact_remove1__append-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16296), _u16298), hAPP(c_List_Oset(_u16296), _u16300))) | ( c_List_Oremove1(_u16296, _u16298, hAPP(hAPP(c_List_Oappend(_u16296), _u16300), _u16302)) = hAPP(hAPP(c_List_Oappend(_u16296), _u16300), c_List_Oremove1(_u16296, _u16298, _u16302))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_in__set__butlast__appendI ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_in__set__butlast__appendI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16303), _u16304), hAPP(c_List_Oset(_u16303), c_List_Obutlast(_u16303, hAPP(hAPP(c_List_Oappend(_u16303), _u16305), _u16306))))) | ~hBOOL(hAPP(hAPP(c_member(_u16303), _u16304), hAPP(c_List_Oset(_u16303), c_List_Obutlast(_u16303, _u16305)))) )).
% 20.36/20.57 cnf(fact_in__set__butlast__appendI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16303), _u16304), hAPP(c_List_Oset(_u16303), c_List_Obutlast(_u16303, hAPP(hAPP(c_List_Oappend(_u16303), _u16305), _u16306))))) | ~hBOOL(hAPP(hAPP(c_member(_u16303), _u16304), hAPP(c_List_Oset(_u16303), c_List_Obutlast(_u16303, _u16306)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_butlast__snoc ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_butlast__snoc-1, axiom, ( ( c_List_Obutlast(_u16307, hAPP(hAPP(c_List_Oappend(_u16307), _u16308), hAPP(hAPP(c_List_Olist_OCons(_u16307), _u16309), c_List_Olist_ONil(_u16307)))) = _u16308) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_append__listrel1I ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_append__listrel1I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16310), tc_List_Olist(_u16310))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16310), tc_List_Olist(_u16310)), hAPP(hAPP(c_List_Oappend(_u16310), _u16311), _u16314)), hAPP(hAPP(c_List_Oappend(_u16310), _u16312), _u16315))), c_List_Olistrel1(_u16310, _u16313))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16310), tc_List_Olist(_u16310))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16310), tc_List_Olist(_u16310)), _u16311), _u16312)), c_List_Olistrel1(_u16310, _u16313))) | ( _u16314 != _u16315) )).
% 20.36/20.57 cnf(fact_append__listrel1I-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16310), tc_List_Olist(_u16310))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16310), tc_List_Olist(_u16310)), hAPP(hAPP(c_List_Oappend(_u16310), _u16311), _u16314)), hAPP(hAPP(c_List_Oappend(_u16310), _u16312), _u16315))), c_List_Olistrel1(_u16310, _u16313))) | ( _u16311 != _u16312) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16310), tc_List_Olist(_u16310))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16310), tc_List_Olist(_u16310)), _u16314), _u16315)), c_List_Olistrel1(_u16310, _u16313))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_lexord__append__leftI ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_lexord__append__leftI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16316), tc_List_Olist(_u16316))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16316), tc_List_Olist(_u16316)), _u16317), _u16318)), c_List_Olexord(_u16316, _u16319))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16316), tc_List_Olist(_u16316))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16316), tc_List_Olist(_u16316)), hAPP(hAPP(c_List_Oappend(_u16316), _u16320), _u16317)), hAPP(hAPP(c_List_Oappend(_u16316), _u16320), _u16318))), c_List_Olexord(_u16316, _u16319))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_distinct__append ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_distinct__append-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16324), hAPP(hAPP(c_List_Oappend(_u16324), _u16326), _u16328))) | hBOOL(hAPP(c_List_Odistinct(_u16324), _u16326)) )).
% 20.36/20.57 cnf(fact_distinct__append-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16324), hAPP(hAPP(c_List_Oappend(_u16324), _u16326), _u16328))) | hBOOL(hAPP(c_List_Odistinct(_u16324), _u16328)) )).
% 20.36/20.57 cnf(fact_distinct__append-3, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16324), hAPP(hAPP(c_List_Oappend(_u16324), _u16326), _u16328))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16324, tc_HOL_Obool)), hAPP(c_List_Oset(_u16324), _u16326)), hAPP(c_List_Oset(_u16324), _u16328)) = c_Orderings_Obot__class_Obot(tc_fun(_u16324, tc_HOL_Obool))) )).
% 20.36/20.57 cnf(fact_distinct__append-4, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16325), _u16327)) | ~hBOOL(hAPP(c_List_Odistinct(_u16325), _u16329)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16325, tc_HOL_Obool)), hAPP(c_List_Oset(_u16325), _u16327)), hAPP(c_List_Oset(_u16325), _u16329)) != c_Orderings_Obot__class_Obot(tc_fun(_u16325, tc_HOL_Obool))) | hBOOL(hAPP(c_List_Odistinct(_u16325), hAPP(hAPP(c_List_Oappend(_u16325), _u16327), _u16329))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_nth__append ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_nth__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16334), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16336)), _u16338))) | ( hAPP(hAPP(c_List_Onth(_u16336), hAPP(hAPP(c_List_Oappend(_u16336), _u16338), _u16340)), _u16334) = hAPP(hAPP(c_List_Onth(_u16336), _u16338), _u16334)) )).
% 20.36/20.57 cnf(fact_nth__append-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16335), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16337)), _u16339))) | ( hAPP(hAPP(c_List_Onth(_u16337), hAPP(hAPP(c_List_Oappend(_u16337), _u16339), _u16341)), _u16335) = hAPP(hAPP(c_List_Onth(_u16337), _u16341), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16335), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16337)), _u16339)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_list__update__append ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_list__update__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16347), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16349)), _u16351))) | ( hAPP(hAPP(c_List_Olist__update(_u16349, hAPP(hAPP(c_List_Oappend(_u16349), _u16351), _u16353)), _u16347), _u16355) = hAPP(hAPP(c_List_Oappend(_u16349), hAPP(hAPP(c_List_Olist__update(_u16349, _u16351), _u16347), _u16355)), _u16353)) )).
% 20.36/20.57 cnf(fact_list__update__append-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16348), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16350)), _u16352))) | ( hAPP(hAPP(c_List_Olist__update(_u16350, hAPP(hAPP(c_List_Oappend(_u16350), _u16352), _u16354)), _u16348), _u16356) = hAPP(hAPP(c_List_Oappend(_u16350), _u16352), hAPP(hAPP(c_List_Olist__update(_u16350, _u16354), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16348), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16350)), _u16352))), _u16356))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_sublist__append ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_sublist__append-1, axiom, ( ( c_List_Osublist(_u16357, hAPP(hAPP(c_List_Oappend(_u16357), _u16358), _u16359), _u16360) = hAPP(hAPP(c_List_Oappend(_u16357), c_List_Osublist(_u16357, _u16358, _u16360)), c_List_Osublist(_u16357, _u16359, 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(_u16357)), _u16358)))), _u16360))))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_listrel1I ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_listrel1I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16361, _u16361)), hAPP(hAPP(c_Product__Type_OPair(_u16361, _u16361), _u16362), _u16363)), _u16364)) | ( _u16365 != hAPP(hAPP(c_List_Oappend(_u16361), _u16366), hAPP(hAPP(c_List_Olist_OCons(_u16361), _u16362), _u16367))) | ( _u16368 != hAPP(hAPP(c_List_Oappend(_u16361), _u16366), hAPP(hAPP(c_List_Olist_OCons(_u16361), _u16363), _u16367))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16361), tc_List_Olist(_u16361))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16361), tc_List_Olist(_u16361)), _u16365), _u16368)), c_List_Olistrel1(_u16361, _u16364))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_lexord__append__left__rightI ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_lexord__append__left__rightI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16369, _u16369)), hAPP(hAPP(c_Product__Type_OPair(_u16369, _u16369), _u16370), _u16371)), _u16372)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16369), tc_List_Olist(_u16369))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16369), tc_List_Olist(_u16369)), hAPP(hAPP(c_List_Oappend(_u16369), _u16373), hAPP(hAPP(c_List_Olist_OCons(_u16369), _u16370), _u16374))), hAPP(hAPP(c_List_Oappend(_u16369), _u16373), hAPP(hAPP(c_List_Olist_OCons(_u16369), _u16371), _u16375)))), c_List_Olexord(_u16369, _u16372))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_take__Suc__conv__app__nth ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_take__Suc__conv__app__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16376), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16377)), _u16378))) | ( hAPP(hAPP(c_List_Otake(_u16377), hAPP(c_Nat_OSuc, _u16376)), _u16378) = hAPP(hAPP(c_List_Oappend(_u16377), hAPP(hAPP(c_List_Otake(_u16377), _u16376), _u16378)), hAPP(hAPP(c_List_Olist_OCons(_u16377), hAPP(hAPP(c_List_Onth(_u16377), _u16378), _u16376)), c_List_Olist_ONil(_u16377)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_snoc__listrel1__snoc__iff ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_snoc__listrel1__snoc__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16385), tc_List_Olist(_u16385))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16385), tc_List_Olist(_u16385)), hAPP(hAPP(c_List_Oappend(_u16385), _u16387), hAPP(hAPP(c_List_Olist_OCons(_u16385), _u16389), c_List_Olist_ONil(_u16385)))), hAPP(hAPP(c_List_Oappend(_u16385), _u16391), hAPP(hAPP(c_List_Olist_OCons(_u16385), _u16393), c_List_Olist_ONil(_u16385))))), c_List_Olistrel1(_u16385, _u16395))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16385), tc_List_Olist(_u16385))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16385), tc_List_Olist(_u16385)), _u16387), _u16391)), c_List_Olistrel1(_u16385, _u16395))) | ( _u16387 = _u16391) )).
% 20.36/20.57 cnf(fact_snoc__listrel1__snoc__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16385), tc_List_Olist(_u16385))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16385), tc_List_Olist(_u16385)), hAPP(hAPP(c_List_Oappend(_u16385), _u16387), hAPP(hAPP(c_List_Olist_OCons(_u16385), _u16389), c_List_Olist_ONil(_u16385)))), hAPP(hAPP(c_List_Oappend(_u16385), _u16391), hAPP(hAPP(c_List_Olist_OCons(_u16385), _u16393), c_List_Olist_ONil(_u16385))))), c_List_Olistrel1(_u16385, _u16395))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16385), tc_List_Olist(_u16385))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16385), tc_List_Olist(_u16385)), _u16387), _u16391)), c_List_Olistrel1(_u16385, _u16395))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16385, _u16385)), hAPP(hAPP(c_Product__Type_OPair(_u16385, _u16385), _u16389), _u16393)), _u16395)) )).
% 20.36/20.57 cnf(fact_snoc__listrel1__snoc__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16385), tc_List_Olist(_u16385))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16385), tc_List_Olist(_u16385)), hAPP(hAPP(c_List_Oappend(_u16385), _u16387), hAPP(hAPP(c_List_Olist_OCons(_u16385), _u16389), c_List_Olist_ONil(_u16385)))), hAPP(hAPP(c_List_Oappend(_u16385), _u16391), hAPP(hAPP(c_List_Olist_OCons(_u16385), _u16393), c_List_Olist_ONil(_u16385))))), c_List_Olistrel1(_u16385, _u16395))) | ( _u16389 = _u16393) | ( _u16387 = _u16391) )).
% 20.36/20.57 cnf(fact_snoc__listrel1__snoc__iff-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16385), tc_List_Olist(_u16385))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16385), tc_List_Olist(_u16385)), hAPP(hAPP(c_List_Oappend(_u16385), _u16387), hAPP(hAPP(c_List_Olist_OCons(_u16385), _u16389), c_List_Olist_ONil(_u16385)))), hAPP(hAPP(c_List_Oappend(_u16385), _u16391), hAPP(hAPP(c_List_Olist_OCons(_u16385), _u16393), c_List_Olist_ONil(_u16385))))), c_List_Olistrel1(_u16385, _u16395))) | ( _u16389 = _u16393) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16385, _u16385)), hAPP(hAPP(c_Product__Type_OPair(_u16385, _u16385), _u16389), _u16393)), _u16395)) )).
% 20.36/20.57 cnf(fact_snoc__listrel1__snoc__iff-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16386), tc_List_Olist(_u16386))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16386), tc_List_Olist(_u16386)), hAPP(hAPP(c_List_Oappend(_u16386), _u16388), hAPP(hAPP(c_List_Olist_OCons(_u16386), _u16390), c_List_Olist_ONil(_u16386)))), hAPP(hAPP(c_List_Oappend(_u16386), _u16392), hAPP(hAPP(c_List_Olist_OCons(_u16386), _u16394), c_List_Olist_ONil(_u16386))))), c_List_Olistrel1(_u16386, _u16396))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16386), tc_List_Olist(_u16386))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16386), tc_List_Olist(_u16386)), _u16388), _u16392)), c_List_Olistrel1(_u16386, _u16396))) | ( _u16390 != _u16394) )).
% 20.36/20.57 cnf(fact_snoc__listrel1__snoc__iff-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16386), tc_List_Olist(_u16386))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16386), tc_List_Olist(_u16386)), hAPP(hAPP(c_List_Oappend(_u16386), _u16388), hAPP(hAPP(c_List_Olist_OCons(_u16386), _u16390), c_List_Olist_ONil(_u16386)))), hAPP(hAPP(c_List_Oappend(_u16386), _u16392), hAPP(hAPP(c_List_Olist_OCons(_u16386), _u16394), c_List_Olist_ONil(_u16386))))), c_List_Olistrel1(_u16386, _u16396))) | ( _u16388 != _u16392) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16386, _u16386)), hAPP(hAPP(c_Product__Type_OPair(_u16386, _u16386), _u16390), _u16394)), _u16396)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_listrel1E ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_listrel1E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16401), tc_List_Olist(_u16401))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16401), tc_List_Olist(_u16401)), _u16402), _u16403)), c_List_Olistrel1(_u16401, _u16404))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16401, _u16401)), hAPP(hAPP(c_Product__Type_OPair(_u16401, _u16401), skolem428(_u16404, _u16403, _u16402, _u16401)), skolem429(_u16404, _u16403, _u16402, _u16401))), _u16404)) )).
% 20.36/20.57 cnf(fact_listrel1E-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16401), tc_List_Olist(_u16401))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16401), tc_List_Olist(_u16401)), _u16402), _u16403)), c_List_Olistrel1(_u16401, _u16404))) | ( _u16402 = hAPP(hAPP(c_List_Oappend(_u16401), skolem430(_u16404, _u16403, _u16402, _u16401)), hAPP(hAPP(c_List_Olist_OCons(_u16401), skolem428(_u16404, _u16403, _u16402, _u16401)), skolem431(_u16404, _u16403, _u16402, _u16401)))) )).
% 20.36/20.57 cnf(fact_listrel1E-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16401), tc_List_Olist(_u16401))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16401), tc_List_Olist(_u16401)), _u16402), _u16403)), c_List_Olistrel1(_u16401, _u16404))) | ( _u16403 = hAPP(hAPP(c_List_Oappend(_u16401), skolem430(_u16404, _u16403, _u16402, _u16401)), hAPP(hAPP(c_List_Olist_OCons(_u16401), skolem429(_u16404, _u16403, _u16402, _u16401)), skolem431(_u16404, _u16403, _u16402, _u16401)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_lexord__append__leftD ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_lexord__append__leftD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16406), tc_List_Olist(_u16406))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16406), tc_List_Olist(_u16406)), hAPP(hAPP(c_List_Oappend(_u16406), _u16407), _u16408)), hAPP(hAPP(c_List_Oappend(_u16406), _u16407), _u16409))), c_List_Olexord(_u16406, _u16410))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16406, _u16406)), hAPP(hAPP(c_Product__Type_OPair(_u16406, _u16406), skolem432(_u16410, _u16409, _u16408, _u16407, _u16406)), skolem432(_u16410, _u16409, _u16408, _u16407, _u16406))), _u16410)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16406), tc_List_Olist(_u16406))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16406), tc_List_Olist(_u16406)), _u16408), _u16409)), c_List_Olexord(_u16406, _u16410))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rotate1__def ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rotate1__def-1, axiom, ( ( hAPP(c_List_Orotate1(_u16411), _u16412) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u16411), _u16411, c_List_Olist_ONil(_u16411), hAPP(hAPP(c_COMBB(tc_List_Olist(_u16411), tc_fun(tc_List_Olist(_u16411), tc_List_Olist(_u16411)), _u16411), hAPP(c_COMBC(tc_List_Olist(_u16411), tc_List_Olist(_u16411), tc_List_Olist(_u16411)), c_List_Oappend(_u16411))), hAPP(hAPP(c_COMBC(_u16411, tc_List_Olist(_u16411), tc_List_Olist(_u16411)), c_List_Olist_OCons(_u16411)), c_List_Olist_ONil(_u16411)))), _u16412)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_upd__conv__take__nth__drop ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_upd__conv__take__nth__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16413), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16414)), _u16415))) | ( hAPP(hAPP(c_List_Olist__update(_u16414, _u16415), _u16413), _u16416) = hAPP(hAPP(c_List_Oappend(_u16414), hAPP(hAPP(c_List_Otake(_u16414), _u16413), _u16415)), hAPP(hAPP(c_List_Olist_OCons(_u16414), _u16416), hAPP(hAPP(c_List_Odrop(_u16414), hAPP(c_Nat_OSuc, _u16413)), _u16415)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_append__take__drop__id ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_append__take__drop__id-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16417), hAPP(hAPP(c_List_Otake(_u16417), _u16418), _u16419)), hAPP(hAPP(c_List_Odrop(_u16417), _u16418), _u16419)) = _u16419) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_drop__1__Cons ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_drop__1__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16420), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u16420), _u16421), _u16422)) = _u16422) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_drop__Suc__Cons ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_drop__Suc__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16423), hAPP(c_Nat_OSuc, _u16424)), hAPP(hAPP(c_List_Olist_OCons(_u16423), _u16425), _u16426)) = hAPP(hAPP(c_List_Odrop(_u16423), _u16424), _u16426)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_nth__via__drop ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_nth__via__drop-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16427), _u16428), _u16429) != hAPP(hAPP(c_List_Olist_OCons(_u16427), _u16430), _u16431)) | ( hAPP(hAPP(c_List_Onth(_u16427), _u16429), _u16428) = _u16430) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_distinct__drop ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_distinct__drop-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16432), _u16433)) | hBOOL(hAPP(c_List_Odistinct(_u16432), hAPP(hAPP(c_List_Odrop(_u16432), _u16434), _u16433))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_distinct1__rotate ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_distinct1__rotate-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16437), hAPP(c_List_Orotate1(_u16437), _u16439))) | hBOOL(hAPP(c_List_Odistinct(_u16437), _u16439)) )).
% 20.36/20.57 cnf(fact_distinct1__rotate-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16438), _u16440)) | hBOOL(hAPP(c_List_Odistinct(_u16438), hAPP(c_List_Orotate1(_u16438), _u16440))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_butlast__drop ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_butlast__drop-1, axiom, ( ( c_List_Obutlast(_u16441, hAPP(hAPP(c_List_Odrop(_u16441), _u16442), _u16443)) = hAPP(hAPP(c_List_Odrop(_u16441), _u16442), c_List_Obutlast(_u16441, _u16443))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_drop__butlast ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_drop__butlast-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16444), _u16445), c_List_Obutlast(_u16444, _u16446)) = c_List_Obutlast(_u16444, hAPP(hAPP(c_List_Odrop(_u16444), _u16445), _u16446))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_drop__take ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_drop__take-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16447), _u16448), hAPP(hAPP(c_List_Otake(_u16447), _u16449), _u16450)) = hAPP(hAPP(c_List_Otake(_u16447), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16449), _u16448)), hAPP(hAPP(c_List_Odrop(_u16447), _u16448), _u16450))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_take__drop ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_take__drop-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u16451), _u16452), hAPP(hAPP(c_List_Odrop(_u16451), _u16453), _u16454)) = hAPP(hAPP(c_List_Odrop(_u16451), _u16453), hAPP(hAPP(c_List_Otake(_u16451), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16452), _u16453)), _u16454))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_drop__drop ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_drop__drop-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16455), _u16456), hAPP(hAPP(c_List_Odrop(_u16455), _u16457), _u16458)) = hAPP(hAPP(c_List_Odrop(_u16455), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16456), _u16457)), _u16458)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_drop__0 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_drop__0-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16459), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16460) = _u16460) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_drop__zip ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_drop__zip-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(tc_prod(_u16461, _u16462)), _u16463), hAPP(hAPP(c_List_Ozip(_u16461, _u16462), _u16464), _u16465)) = hAPP(hAPP(c_List_Ozip(_u16461, _u16462), hAPP(hAPP(c_List_Odrop(_u16461), _u16463), _u16464)), hAPP(hAPP(c_List_Odrop(_u16462), _u16463), _u16465))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_length__rotate1 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_length__rotate1-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16466)), hAPP(c_List_Orotate1(_u16466), _u16467)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16466)), _u16467)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_length__drop ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_length__drop-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16468)), hAPP(hAPP(c_List_Odrop(_u16468), _u16469), _u16470)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16468)), _u16470)), _u16469)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_set__rotate1 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_set__rotate1-1, axiom, ( ( hAPP(c_List_Oset(_u16471), hAPP(c_List_Orotate1(_u16471), _u16472)) = hAPP(c_List_Oset(_u16471), _u16472)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_in__set__dropD ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_in__set__dropD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16473), _u16474), hAPP(c_List_Oset(_u16473), hAPP(hAPP(c_List_Odrop(_u16473), _u16475), _u16476)))) | hBOOL(hAPP(hAPP(c_member(_u16473), _u16474), hAPP(c_List_Oset(_u16473), _u16476))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_set__drop__subset ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_set__drop__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16477, tc_HOL_Obool)), hAPP(c_List_Oset(_u16477), hAPP(hAPP(c_List_Odrop(_u16477), _u16478), _u16479))), hAPP(c_List_Oset(_u16477), _u16479))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_drop__Nil ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_drop__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16480), _u16481), c_List_Olist_ONil(_u16480)) = c_List_Olist_ONil(_u16480)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rotate1__is__Nil__conv ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rotate1__is__Nil__conv-1, axiom, ( ( hAPP(c_List_Orotate1(_u16484), _u16486) != c_List_Olist_ONil(_u16484)) | ( _u16486 = c_List_Olist_ONil(_u16484)) )).
% 20.36/20.57 cnf(fact_rotate1__is__Nil__conv-2, axiom, ( ( _u16487 != c_List_Olist_ONil(_u16485)) | ( hAPP(c_List_Orotate1(_u16485), _u16487) = c_List_Olist_ONil(_u16485)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_set__drop__subset__set__drop ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_set__drop__subset__set__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16488), _u16489)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16490, tc_HOL_Obool)), hAPP(c_List_Oset(_u16490), hAPP(hAPP(c_List_Odrop(_u16490), _u16489), _u16491))), hAPP(c_List_Oset(_u16490), hAPP(hAPP(c_List_Odrop(_u16490), _u16488), _u16491)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_drop__all ( axiom ) converted to clauses:
% 20.36/20.57 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(_u16492)), _u16493)), _u16494)) | ( hAPP(hAPP(c_List_Odrop(_u16492), _u16494), _u16493) = c_List_Olist_ONil(_u16492)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_drop__eq__Nil ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_drop__eq__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16498), _u16500), _u16502) != c_List_Olist_ONil(_u16498)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16498)), _u16502)), _u16500)) )).
% 20.36/20.57 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(_u16499)), _u16503)), _u16501)) | ( hAPP(hAPP(c_List_Odrop(_u16499), _u16501), _u16503) = c_List_Olist_ONil(_u16499)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_drop__append ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_drop__append-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16504), _u16505), hAPP(hAPP(c_List_Oappend(_u16504), _u16506), _u16507)) = hAPP(hAPP(c_List_Oappend(_u16504), hAPP(hAPP(c_List_Odrop(_u16504), _u16505), _u16506)), hAPP(hAPP(c_List_Odrop(_u16504), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16505), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16504)), _u16506))), _u16507))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_append__eq__conv__conj ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_append__eq__conv__conj-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16512), _u16514), _u16516) != _u16518) | ( _u16514 = hAPP(hAPP(c_List_Otake(_u16512), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16512)), _u16514)), _u16518)) )).
% 20.36/20.57 cnf(fact_append__eq__conv__conj-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16512), _u16514), _u16516) != _u16518) | ( _u16516 = hAPP(hAPP(c_List_Odrop(_u16512), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16512)), _u16514)), _u16518)) )).
% 20.36/20.57 cnf(fact_append__eq__conv__conj-3, axiom, ( ( _u16515 != hAPP(hAPP(c_List_Otake(_u16513), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16513)), _u16515)), _u16519)) | ( _u16517 != hAPP(hAPP(c_List_Odrop(_u16513), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16513)), _u16515)), _u16519)) | ( hAPP(hAPP(c_List_Oappend(_u16513), _u16515), _u16517) = _u16519) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_drop__Cons ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_drop__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16520), _u16521), hAPP(hAPP(c_List_Olist_OCons(_u16520), _u16522), _u16523)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u16520), hAPP(hAPP(c_List_Olist_OCons(_u16520), _u16522), _u16523), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u16520), tc_List_Olist(_u16520)), c_List_Odrop(_u16520)), _u16523), _u16521)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_drop__Cons_H ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_drop__Cons_H-1, axiom, ( ( _u16528 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u16530), _u16528), hAPP(hAPP(c_List_Olist_OCons(_u16530), _u16532), _u16534)) = hAPP(hAPP(c_List_Olist_OCons(_u16530), _u16532), _u16534)) )).
% 20.36/20.57 cnf(fact_drop__Cons_H-2, axiom, ( ( _u16529 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u16531), _u16529), hAPP(hAPP(c_List_Olist_OCons(_u16531), _u16533), _u16535)) = hAPP(hAPP(c_List_Odrop(_u16531), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16529), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u16535)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_nth__drop ( axiom ) converted to clauses:
% 20.36/20.57 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), _u16536), _u16537)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16538)), _u16539))) | ( hAPP(hAPP(c_List_Onth(_u16538), hAPP(hAPP(c_List_Odrop(_u16538), _u16536), _u16539)), _u16537) = hAPP(hAPP(c_List_Onth(_u16538), _u16539), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16536), _u16537))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_append__eq__append__conv__if ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_append__eq__append__conv__if-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16545), _u16547), _u16549) != hAPP(hAPP(c_List_Oappend(_u16545), _u16551), _u16553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16545)), _u16547)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16545)), _u16551))) | ( _u16547 = hAPP(hAPP(c_List_Otake(_u16545), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16545)), _u16547)), _u16551)) )).
% 20.36/20.57 cnf(fact_append__eq__append__conv__if-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16545), _u16547), _u16549) != hAPP(hAPP(c_List_Oappend(_u16545), _u16551), _u16553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16545)), _u16547)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16545)), _u16551))) | ( _u16549 = hAPP(hAPP(c_List_Oappend(_u16545), hAPP(hAPP(c_List_Odrop(_u16545), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16545)), _u16547)), _u16551)), _u16553)) )).
% 20.36/20.57 cnf(fact_append__eq__append__conv__if-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16545), _u16547), _u16549) != hAPP(hAPP(c_List_Oappend(_u16545), _u16551), _u16553)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16545)), _u16547)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16545)), _u16551))) | ( hAPP(hAPP(c_List_Otake(_u16545), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16545)), _u16551)), _u16547) = _u16551) )).
% 20.36/20.57 cnf(fact_append__eq__append__conv__if-4, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16545), _u16547), _u16549) != hAPP(hAPP(c_List_Oappend(_u16545), _u16551), _u16553)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16545)), _u16547)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16545)), _u16551))) | ( hAPP(hAPP(c_List_Oappend(_u16545), hAPP(hAPP(c_List_Odrop(_u16545), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16545)), _u16551)), _u16547)), _u16549) = _u16553) )).
% 20.36/20.57 cnf(fact_append__eq__append__conv__if-5, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16546), _u16548), _u16550) = hAPP(hAPP(c_List_Oappend(_u16546), _u16552), _u16554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16546)), _u16548)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16546)), _u16552))) | ( hAPP(hAPP(c_List_Otake(_u16546), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16546)), _u16552)), _u16548) != _u16552) | ( hAPP(hAPP(c_List_Oappend(_u16546), hAPP(hAPP(c_List_Odrop(_u16546), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16546)), _u16552)), _u16548)), _u16550) != _u16554) )).
% 20.36/20.57 cnf(fact_append__eq__append__conv__if-6, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16546), _u16548), _u16550) = hAPP(hAPP(c_List_Oappend(_u16546), _u16552), _u16554)) | ( _u16548 != hAPP(hAPP(c_List_Otake(_u16546), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16546)), _u16548)), _u16552)) | ( _u16550 != hAPP(hAPP(c_List_Oappend(_u16546), hAPP(hAPP(c_List_Odrop(_u16546), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16546)), _u16548)), _u16552)), _u16554)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16546)), _u16548)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16546)), _u16552))) )).
% 20.36/20.57 cnf(fact_append__eq__append__conv__if-7, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16546), _u16548), _u16550) = hAPP(hAPP(c_List_Oappend(_u16546), _u16552), _u16554)) | ( _u16548 != hAPP(hAPP(c_List_Otake(_u16546), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16546)), _u16548)), _u16552)) | ( _u16550 != hAPP(hAPP(c_List_Oappend(_u16546), hAPP(hAPP(c_List_Odrop(_u16546), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16546)), _u16548)), _u16552)), _u16554)) | ( hAPP(hAPP(c_List_Otake(_u16546), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16546)), _u16552)), _u16548) != _u16552) | ( hAPP(hAPP(c_List_Oappend(_u16546), hAPP(hAPP(c_List_Odrop(_u16546), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16546)), _u16552)), _u16548)), _u16550) != _u16554) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_nth__drop_H ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_nth__drop_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16555), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16556)), _u16557))) | ( hAPP(hAPP(c_List_Olist_OCons(_u16556), hAPP(hAPP(c_List_Onth(_u16556), _u16557), _u16555)), hAPP(hAPP(c_List_Odrop(_u16556), hAPP(c_Nat_OSuc, _u16555)), _u16557)) = hAPP(hAPP(c_List_Odrop(_u16556), _u16555), _u16557)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rotate__simps ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rotate__simps-1, axiom, ( ( hAPP(c_List_Orotate1(_u16558), c_List_Olist_ONil(_u16558)) = c_List_Olist_ONil(_u16558)) )).
% 20.36/20.57 cnf(fact_rotate__simps-2, axiom, ( ( hAPP(c_List_Orotate1(_u16559), hAPP(hAPP(c_List_Olist_OCons(_u16559), _u16560), _u16561)) = hAPP(hAPP(c_List_Oappend(_u16559), _u16561), hAPP(hAPP(c_List_Olist_OCons(_u16559), _u16560), c_List_Olist_ONil(_u16559)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_drop__Cons__number__of ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_drop__Cons__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16566) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u16568), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16566)), hAPP(hAPP(c_List_Olist_OCons(_u16568), _u16570), _u16572)) = hAPP(hAPP(c_List_Olist_OCons(_u16568), _u16570), _u16572)) )).
% 20.36/20.57 cnf(fact_drop__Cons__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16567) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u16569), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16567)), hAPP(hAPP(c_List_Olist_OCons(_u16569), _u16571), _u16573)) = hAPP(hAPP(c_List_Odrop(_u16569), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16567)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u16573)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_take__add ( axiom ) converted to clauses:
% 20.36/20.57 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), _u16574), _u16575)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16576)), _u16577))) | ( hAPP(hAPP(c_List_Otake(_u16576), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16574), _u16575)), _u16577) = hAPP(hAPP(c_List_Oappend(_u16576), hAPP(hAPP(c_List_Otake(_u16576), _u16574), _u16577)), hAPP(hAPP(c_List_Otake(_u16576), _u16575), hAPP(hAPP(c_List_Odrop(_u16576), _u16574), _u16577)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rotate1__length01 ( axiom ) converted to clauses:
% 20.36/20.57 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(_u16578)), _u16579)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate1(_u16578), _u16579) = _u16579) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_zip__append2 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_zip__append2-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16580, _u16581), _u16582), hAPP(hAPP(c_List_Oappend(_u16581), _u16583), _u16584)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u16580, _u16581)), hAPP(hAPP(c_List_Ozip(_u16580, _u16581), hAPP(hAPP(c_List_Otake(_u16580), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16581)), _u16583)), _u16582)), _u16583)), hAPP(hAPP(c_List_Ozip(_u16580, _u16581), hAPP(hAPP(c_List_Odrop(_u16580), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16581)), _u16583)), _u16582)), _u16584))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_zip__append1 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_zip__append1-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16585, _u16586), hAPP(hAPP(c_List_Oappend(_u16585), _u16587), _u16588)), _u16589) = hAPP(hAPP(c_List_Oappend(tc_prod(_u16585, _u16586)), hAPP(hAPP(c_List_Ozip(_u16585, _u16586), _u16587), hAPP(hAPP(c_List_Otake(_u16586), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16585)), _u16587)), _u16589))), hAPP(hAPP(c_List_Ozip(_u16585, _u16586), _u16588), hAPP(hAPP(c_List_Odrop(_u16586), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16585)), _u16587)), _u16589)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_id__take__nth__drop ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_id__take__nth__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16590), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16591)), _u16592))) | ( _u16592 = hAPP(hAPP(c_List_Oappend(_u16591), hAPP(hAPP(c_List_Otake(_u16591), _u16590), _u16592)), hAPP(hAPP(c_List_Olist_OCons(_u16591), hAPP(hAPP(c_List_Onth(_u16591), _u16592), _u16590)), hAPP(hAPP(c_List_Odrop(_u16591), hAPP(c_Nat_OSuc, _u16590)), _u16592)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_take__hd__drop ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_take__hd__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16593), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16594)), _u16595))) | ( hAPP(hAPP(c_List_Oappend(_u16594), hAPP(hAPP(c_List_Otake(_u16594), _u16593), _u16595)), hAPP(hAPP(c_List_Olist_OCons(_u16594), hAPP(c_List_Ohd(_u16594), hAPP(hAPP(c_List_Odrop(_u16594), _u16593), _u16595))), c_List_Olist_ONil(_u16594))) = hAPP(hAPP(c_List_Otake(_u16594), hAPP(c_Nat_OSuc, _u16593)), _u16595)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_hd__drop__conv__nth ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_hd__drop__conv__nth-1, axiom, ( ( _u16596 = c_List_Olist_ONil(_u16597)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16598), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16597)), _u16596))) | ( hAPP(c_List_Ohd(_u16597), hAPP(hAPP(c_List_Odrop(_u16597), _u16598), _u16596)) = hAPP(hAPP(c_List_Onth(_u16597), _u16596), _u16598)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_hd_Osimps ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_hd_Osimps-1, axiom, ( ( hAPP(c_List_Ohd(_u16599), hAPP(hAPP(c_List_Olist_OCons(_u16599), _u16600), _u16601)) = _u16600) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_hd__append2 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_hd__append2-1, axiom, ( ( _u16602 = c_List_Olist_ONil(_u16603)) | ( hAPP(c_List_Ohd(_u16603), hAPP(hAPP(c_List_Oappend(_u16603), _u16602), _u16604)) = hAPP(c_List_Ohd(_u16603), _u16602)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_hd__append ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_hd__append-1, axiom, ( ( _u16608 != c_List_Olist_ONil(_u16610)) | ( hAPP(c_List_Ohd(_u16610), hAPP(hAPP(c_List_Oappend(_u16610), _u16608), _u16612)) = hAPP(c_List_Ohd(_u16610), _u16612)) )).
% 20.36/20.57 cnf(fact_hd__append-2, axiom, ( ( _u16609 = c_List_Olist_ONil(_u16611)) | ( hAPP(c_List_Ohd(_u16611), hAPP(hAPP(c_List_Oappend(_u16611), _u16609), _u16613)) = hAPP(c_List_Ohd(_u16611), _u16609)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_hd__in__set ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_hd__in__set-1, axiom, ( ( _u16614 = c_List_Olist_ONil(_u16615)) | hBOOL(hAPP(hAPP(c_member(_u16615), hAPP(c_List_Ohd(_u16615), _u16614)), hAPP(c_List_Oset(_u16615), _u16614))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_hd__conv__nth ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_hd__conv__nth-1, axiom, ( ( _u16616 = c_List_Olist_ONil(_u16617)) | ( hAPP(c_List_Ohd(_u16617), _u16616) = hAPP(hAPP(c_List_Onth(_u16617), _u16616), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rotate1__hd__tl ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rotate1__hd__tl-1, axiom, ( ( _u16618 = c_List_Olist_ONil(_u16619)) | ( hAPP(c_List_Orotate1(_u16619), _u16618) = hAPP(hAPP(c_List_Oappend(_u16619), hAPP(c_List_Otl(_u16619), _u16618)), hAPP(hAPP(c_List_Olist_OCons(_u16619), hAPP(c_List_Ohd(_u16619), _u16618)), c_List_Olist_ONil(_u16619)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_hd__rotate__conv__nth ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_hd__rotate__conv__nth-1, axiom, ( ( _u16620 = c_List_Olist_ONil(_u16621)) | ( hAPP(c_List_Ohd(_u16621), hAPP(c_List_Orotate(_u16621, _u16622), _u16620)) = hAPP(hAPP(c_List_Onth(_u16621), _u16620), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16622, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16621)), _u16620)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_drop__tl ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_drop__tl-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16623), _u16624), hAPP(c_List_Otl(_u16623), _u16625)) = hAPP(c_List_Otl(_u16623), hAPP(hAPP(c_List_Odrop(_u16623), _u16624), _u16625))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_tl__drop ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_tl__drop-1, axiom, ( ( hAPP(c_List_Otl(_u16626), hAPP(hAPP(c_List_Odrop(_u16626), _u16627), _u16628)) = hAPP(hAPP(c_List_Odrop(_u16626), _u16627), hAPP(c_List_Otl(_u16626), _u16628))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_tl_Osimps_I2_J ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_tl_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Otl(_u16629), hAPP(hAPP(c_List_Olist_OCons(_u16629), _u16630), _u16631)) = _u16631) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_distinct__tl ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_distinct__tl-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16632), _u16633)) | hBOOL(hAPP(c_List_Odistinct(_u16632), hAPP(c_List_Otl(_u16632), _u16633))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_distinct__rotate ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_distinct__rotate-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16637), hAPP(c_List_Orotate(_u16637, _u16639), _u16641))) | hBOOL(hAPP(c_List_Odistinct(_u16637), _u16641)) )).
% 20.36/20.57 cnf(fact_distinct__rotate-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16638), _u16642)) | hBOOL(hAPP(c_List_Odistinct(_u16638), hAPP(c_List_Orotate(_u16638, _u16640), _u16642))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rotate__rotate ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rotate__rotate-1, axiom, ( ( hAPP(c_List_Orotate(_u16643, _u16644), hAPP(c_List_Orotate(_u16643, _u16645), _u16646)) = hAPP(c_List_Orotate(_u16643, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16644), _u16645)), _u16646)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rotate0 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rotate0-1, axiom, ( ( c_List_Orotate(_u16647, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(_u16647))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rotate__add ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rotate__add-1, axiom, ( ( c_List_Orotate(_u16648, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16649), _u16650)) = hAPP(c_Fun_Ocomp(tc_List_Olist(_u16648), tc_List_Olist(_u16648), tc_List_Olist(_u16648), c_List_Orotate(_u16648, _u16649)), c_List_Orotate(_u16648, _u16650))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_length__rotate ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_length__rotate-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16651)), hAPP(c_List_Orotate(_u16651, _u16652), _u16653)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16651)), _u16653)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_set__rotate ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_set__rotate-1, axiom, ( ( hAPP(c_List_Oset(_u16654), hAPP(c_List_Orotate(_u16654, _u16655), _u16656)) = hAPP(c_List_Oset(_u16654), _u16656)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_tl_Osimps_I1_J ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_tl_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Otl(_u16657), c_List_Olist_ONil(_u16657)) = c_List_Olist_ONil(_u16657)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rotate__is__Nil__conv ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rotate__is__Nil__conv-1, axiom, ( ( hAPP(c_List_Orotate(_u16661, _u16663), _u16665) != c_List_Olist_ONil(_u16661)) | ( _u16665 = c_List_Olist_ONil(_u16661)) )).
% 20.36/20.57 cnf(fact_rotate__is__Nil__conv-2, axiom, ( ( _u16666 != c_List_Olist_ONil(_u16662)) | ( hAPP(c_List_Orotate(_u16662, _u16664), _u16666) = c_List_Olist_ONil(_u16662)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rotate__def ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rotate__def-1, axiom, ( ( c_List_Orotate(_u16667, _u16668) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(_u16667), tc_List_Olist(_u16667)), _u16668), c_List_Orotate1(_u16667))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rotate1__rotate__swap ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rotate1__rotate__swap-1, axiom, ( ( hAPP(c_List_Orotate1(_u16669), hAPP(c_List_Orotate(_u16669, _u16670), _u16671)) = hAPP(c_List_Orotate(_u16669, _u16670), hAPP(c_List_Orotate1(_u16669), _u16671))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_tl__append2 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_tl__append2-1, axiom, ( ( _u16672 = c_List_Olist_ONil(_u16673)) | ( hAPP(c_List_Otl(_u16673), hAPP(hAPP(c_List_Oappend(_u16673), _u16672), _u16674)) = hAPP(hAPP(c_List_Oappend(_u16673), hAPP(c_List_Otl(_u16673), _u16672)), _u16674)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_take__tl ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_take__tl-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u16675), _u16676), hAPP(c_List_Otl(_u16675), _u16677)) = hAPP(c_List_Otl(_u16675), hAPP(hAPP(c_List_Otake(_u16675), hAPP(c_Nat_OSuc, _u16676)), _u16677))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rotate__conv__mod ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rotate__conv__mod-1, axiom, ( ( hAPP(c_List_Orotate(_u16678, _u16679), _u16680) = hAPP(c_List_Orotate(_u16678, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16679, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16678)), _u16680))), _u16680)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_drop__Suc ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_drop__Suc-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16681), hAPP(c_Nat_OSuc, _u16682)), _u16683) = hAPP(hAPP(c_List_Odrop(_u16681), _u16682), hAPP(c_List_Otl(_u16681), _u16683))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rotate__Suc ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rotate__Suc-1, axiom, ( ( hAPP(c_List_Orotate(_u16684, hAPP(c_Nat_OSuc, _u16685)), _u16686) = hAPP(c_List_Orotate1(_u16684), hAPP(c_List_Orotate(_u16684, _u16685), _u16686))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_tl__append ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_tl__append-1, axiom, ( ( hAPP(c_List_Otl(_u16687), hAPP(hAPP(c_List_Oappend(_u16687), _u16688), _u16689)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u16687), _u16687, hAPP(c_List_Otl(_u16687), _u16689), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u16687), tc_List_Olist(_u16687)), _u16687), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16687), tc_List_Olist(_u16687), tc_List_Olist(_u16687)), c_List_Oappend(_u16687)), _u16689))), _u16688)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rotate__id ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rotate__id-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16690, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16691)), _u16692)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Orotate(_u16691, _u16690), _u16692) = _u16692) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rotate__length01 ( axiom ) converted to clauses:
% 20.36/20.57 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(_u16693)), _u16694)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate(_u16693, _u16695), _u16694) = _u16694) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_length__tl ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_length__tl-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16696)), hAPP(c_List_Otl(_u16696), _u16697)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16696)), _u16697)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_tl__take ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_tl__take-1, axiom, ( ( hAPP(c_List_Otl(_u16698), hAPP(hAPP(c_List_Otake(_u16698), _u16699), _u16700)) = hAPP(hAPP(c_List_Otake(_u16698), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16699), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_List_Otl(_u16698), _u16700))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_take__Suc ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_take__Suc-1, axiom, ( ( _u16701 = c_List_Olist_ONil(_u16702)) | ( hAPP(hAPP(c_List_Otake(_u16702), hAPP(c_Nat_OSuc, _u16703)), _u16701) = hAPP(hAPP(c_List_Olist_OCons(_u16702), hAPP(c_List_Ohd(_u16702), _u16701)), hAPP(hAPP(c_List_Otake(_u16702), _u16703), hAPP(c_List_Otl(_u16702), _u16701)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rotate__drop__take ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rotate__drop__take-1, axiom, ( ( hAPP(c_List_Orotate(_u16704, _u16705), _u16706) = hAPP(hAPP(c_List_Oappend(_u16704), hAPP(hAPP(c_List_Odrop(_u16704), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16705, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16704)), _u16706))), _u16706)), hAPP(hAPP(c_List_Otake(_u16704), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16705, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16704)), _u16706))), _u16706))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_fold1__set ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_fold1__set-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u16707) | ( _u16708 = c_List_Olist_ONil(_u16707)) | ( hAPP(c_Finite__Set_Ofold1(_u16707, c_Groups_Otimes__class_Otimes(_u16707)), hAPP(c_List_Oset(_u16707), _u16708)) = hAPP(c_List_Ofoldl(_u16707, _u16707, c_Groups_Otimes__class_Otimes(_u16707), hAPP(c_List_Ohd(_u16707), _u16708)), hAPP(c_List_Otl(_u16707), _u16708))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_lexord__append__rightI ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_lexord__append__rightI-1, axiom, ( ( _u16711 != hAPP(hAPP(c_List_Olist_OCons(_u16712), _u16710), _u16709)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16712), tc_List_Olist(_u16712))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16712), tc_List_Olist(_u16712)), _u16713), hAPP(hAPP(c_List_Oappend(_u16712), _u16713), _u16711))), c_List_Olexord(_u16712, _u16714))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_foldl__Nil ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_foldl__Nil-1, axiom, ( ( hAPP(c_List_Ofoldl(_u16715, _u16716, _u16717, _u16718), c_List_Olist_ONil(_u16716)) = _u16718) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_start__le__sum ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_start__le__sum-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16719), _u16720)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16719), hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16720), _u16721))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_foldl__assoc ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_foldl__assoc-1, axiom, ( ~class_Groups_Osemigroup__add(_u16722) | ( hAPP(c_List_Ofoldl(_u16722, _u16722, c_Groups_Oplus__class_Oplus(_u16722), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16722), _u16723), _u16724)), _u16725) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16722), _u16723), hAPP(c_List_Ofoldl(_u16722, _u16722, c_Groups_Oplus__class_Oplus(_u16722), _u16724), _u16725))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_foldl__absorb0 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_foldl__absorb0-1, axiom, ( ~class_Groups_Omonoid__add(_u16726) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16726), _u16727), hAPP(c_List_Ofoldl(_u16726, _u16726, c_Groups_Oplus__class_Oplus(_u16726), c_Groups_Ozero__class_Ozero(_u16726)), _u16728)) = hAPP(c_List_Ofoldl(_u16726, _u16726, c_Groups_Oplus__class_Oplus(_u16726), _u16727), _u16728)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_foldl__Cons ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_foldl__Cons-1, axiom, ( ( hAPP(c_List_Ofoldl(_u16729, _u16730, _u16731, _u16732), hAPP(hAPP(c_List_Olist_OCons(_u16730), _u16733), _u16734)) = hAPP(c_List_Ofoldl(_u16729, _u16730, _u16731, hAPP(hAPP(_u16731, _u16732), _u16733)), _u16734)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_foldl__append ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_foldl__append-1, axiom, ( ( hAPP(c_List_Ofoldl(_u16735, _u16736, _u16737, _u16738), hAPP(hAPP(c_List_Oappend(_u16736), _u16739), _u16740)) = hAPP(c_List_Ofoldl(_u16735, _u16736, _u16737, hAPP(c_List_Ofoldl(_u16735, _u16736, _u16737, _u16738), _u16739)), _u16740)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_listsum__foldl ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_listsum__foldl-1, axiom, ( ~class_Groups_Omonoid__add(_u16741) | ( c_List_Omonoid__add__class_Olistsum(_u16741) = c_List_Ofoldl(_u16741, _u16741, c_Groups_Oplus__class_Oplus(_u16741), c_Groups_Ozero__class_Ozero(_u16741))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_sum__eq__0__conv ( axiom ) converted to clauses:
% 20.36/20.57 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), _u16746), _u16748) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16746 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.57 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), _u16746), _u16748) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u16742), hAPP(c_List_Oset(tc_Nat_Onat), _u16748))) | ( _u16742 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.57 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), _u16747), _u16749) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16747 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem433(_u16749, _u16747)), hAPP(c_List_Oset(tc_Nat_Onat), _u16749))) )).
% 20.36/20.57 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), _u16747), _u16749) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16747 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem433(_u16749, _u16747) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_fun__left__comm__idem_Ofold__set ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_fun__left__comm__idem_Ofold__set-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u16750, _u16751, _u16752) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16750, _u16751, _u16752), _u16753), hAPP(c_List_Oset(_u16750), _u16754)) = hAPP(c_List_Ofoldl(_u16751, _u16750, hAPP(c_COMBC(_u16750, _u16751, _u16751), _u16752), _u16753), _u16754)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Sup__set__fold ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Sup__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16755) | ( c_Complete__Lattice_OSup__class_OSup(_u16755, hAPP(c_List_Oset(_u16755), _u16756)) = hAPP(c_List_Ofoldl(_u16755, _u16755, c_Lattices_Osemilattice__sup__class_Osup(_u16755), c_Orderings_Obot__class_Obot(_u16755)), _u16756)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Inf__set__fold ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Inf__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16757) | ( c_Complete__Lattice_OInf__class_OInf(_u16757, hAPP(c_List_Oset(_u16757), _u16758)) = hAPP(c_List_Ofoldl(_u16757, _u16757, c_Lattices_Osemilattice__inf__class_Oinf(_u16757), c_Orderings_Otop__class_Otop(_u16757)), _u16758)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Sup__fin__set__fold ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Sup__fin__set__fold-1, axiom, ( ~class_Lattices_Olattice(_u16759) | ( c_Big__Operators_Olattice__class_OSup__fin(_u16759, hAPP(c_List_Oset(_u16759), hAPP(hAPP(c_List_Olist_OCons(_u16759), _u16760), _u16761))) = hAPP(c_List_Ofoldl(_u16759, _u16759, c_Lattices_Osemilattice__sup__class_Osup(_u16759), _u16760), _u16761)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Inf__fin__set__fold ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Inf__fin__set__fold-1, axiom, ( ~class_Lattices_Olattice(_u16762) | ( c_Big__Operators_Olattice__class_OInf__fin(_u16762, hAPP(c_List_Oset(_u16762), hAPP(hAPP(c_List_Olist_OCons(_u16762), _u16763), _u16764))) = hAPP(c_List_Ofoldl(_u16762, _u16762, c_Lattices_Osemilattice__inf__class_Oinf(_u16762), _u16763), _u16764)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Min__fin__set__fold ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Min__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u16765) | ( c_Big__Operators_Olinorder__class_OMin(_u16765, hAPP(c_List_Oset(_u16765), hAPP(hAPP(c_List_Olist_OCons(_u16765), _u16766), _u16767))) = hAPP(c_List_Ofoldl(_u16765, _u16765, c_Orderings_Oord__class_Omin(_u16765), _u16766), _u16767)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_Max__fin__set__fold ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_Max__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u16768) | ( c_Big__Operators_Olinorder__class_OMax(_u16768, hAPP(c_List_Oset(_u16768), hAPP(hAPP(c_List_Olist_OCons(_u16768), _u16769), _u16770))) = hAPP(c_List_Ofoldl(_u16768, _u16768, c_Orderings_Oord__class_Omax(_u16768), _u16769), _u16770)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_min__max_OInf__fin__set__fold ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_min__max_OInf__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u16771) | ( c_Big__Operators_Olattice_OInf__fin(_u16771, c_Orderings_Oord__class_Omin(_u16771), hAPP(c_List_Oset(_u16771), hAPP(hAPP(c_List_Olist_OCons(_u16771), _u16772), _u16773))) = hAPP(c_List_Ofoldl(_u16771, _u16771, c_Orderings_Oord__class_Omin(_u16771), _u16772), _u16773)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_min__max_OSup__fin__set__fold ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_min__max_OSup__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u16774) | ( c_Big__Operators_Olattice_OSup__fin(_u16774, c_Orderings_Oord__class_Omax(_u16774), hAPP(c_List_Oset(_u16774), hAPP(hAPP(c_List_Olist_OCons(_u16774), _u16775), _u16776))) = hAPP(c_List_Ofoldl(_u16774, _u16774, c_Orderings_Oord__class_Omax(_u16774), _u16775), _u16776)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_SUPR__set__fold ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_SUPR__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16777) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16778, _u16777), hAPP(c_List_Oset(_u16778), _u16779)), _u16780) = hAPP(c_List_Ofoldl(_u16777, _u16778, hAPP(c_COMBC(_u16778, _u16777, _u16777), hAPP(hAPP(c_COMBB(_u16777, tc_fun(_u16777, _u16777), _u16778), c_Lattices_Osemilattice__sup__class_Osup(_u16777)), _u16780)), c_Orderings_Obot__class_Obot(_u16777)), _u16779)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_INFI__set__fold ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_INFI__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16781) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16782, _u16781), hAPP(c_List_Oset(_u16782), _u16783)), _u16784) = hAPP(c_List_Ofoldl(_u16781, _u16782, hAPP(c_COMBC(_u16782, _u16781, _u16781), hAPP(hAPP(c_COMBB(_u16781, tc_fun(_u16781, _u16781), _u16782), c_Lattices_Osemilattice__inf__class_Oinf(_u16781)), _u16784)), c_Orderings_Otop__class_Otop(_u16781)), _u16783)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_elem__le__sum ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_elem__le__sum-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u16785), hAPP(c_List_Oset(tc_Nat_Onat), _u16786))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16785), 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)), _u16786))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_sorted__list__of__set__insert ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_sorted__list__of__set__insert-1, axiom, ( ~class_Orderings_Olinorder(_u16787) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16787), _u16788)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u16787, hAPP(hAPP(c_Set_Oinsert(_u16787), _u16789), _u16788)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16787, _u16787, c_COMBI(_u16787)), _u16789), c_List_Olinorder__class_Osorted__list__of__set(_u16787, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16787, tc_HOL_Obool)), _u16788), hAPP(hAPP(c_Set_Oinsert(_u16787), _u16789), c_Orderings_Obot__class_Obot(tc_fun(_u16787, tc_HOL_Obool))))))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_lexord__Nil__left ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_lexord__Nil__left-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16797), tc_List_Olist(_u16797))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16797), tc_List_Olist(_u16797)), c_List_Olist_ONil(_u16797)), _u16799)), c_List_Olexord(_u16797, _u16801))) | ( _u16799 = hAPP(hAPP(c_List_Olist_OCons(_u16797), skolem434(_u16801, _u16799, _u16797)), skolem435(_u16801, _u16799, _u16797))) )).
% 20.36/20.57 cnf(fact_lexord__Nil__left-2, axiom, ( ( _u16800 != hAPP(hAPP(c_List_Olist_OCons(_u16798), _u16793), _u16792)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16798), tc_List_Olist(_u16798))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16798), tc_List_Olist(_u16798)), c_List_Olist_ONil(_u16798)), _u16800)), c_List_Olexord(_u16798, _u16802))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_insort__key_Osimps_I1_J ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_insort__key_Osimps_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u16803) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16804, _u16803, _u16805), _u16806), c_List_Olist_ONil(_u16804)) = hAPP(hAPP(c_List_Olist_OCons(_u16804), _u16806), c_List_Olist_ONil(_u16804))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_insort__key_Osimps_I2_J ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_insort__key_Osimps_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u16807) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16807), hAPP(_u16808, _u16809)), hAPP(_u16808, _u16810))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16811, _u16807, _u16808), _u16809), hAPP(hAPP(c_List_Olist_OCons(_u16811), _u16810), _u16812)) = hAPP(hAPP(c_List_Olist_OCons(_u16811), _u16809), hAPP(hAPP(c_List_Olist_OCons(_u16811), _u16810), _u16812))) )).
% 20.36/20.57 cnf(fact_insort__key_Osimps_I2_J-2, axiom, ( ~class_Orderings_Olinorder(_u16807) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16807), hAPP(_u16808, _u16809)), hAPP(_u16808, _u16810))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16811, _u16807, _u16808), _u16809), hAPP(hAPP(c_List_Olist_OCons(_u16811), _u16810), _u16812)) = hAPP(hAPP(c_List_Olist_OCons(_u16811), _u16810), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16811, _u16807, _u16808), _u16809), _u16812))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_length__insort ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_length__insort-1, axiom, ( ~class_Orderings_Olinorder(_u16813) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16814)), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16814, _u16813, _u16815), _u16816), _u16817)) = hAPP(c_Nat_OSuc, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16814)), _u16817))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_insort__key__left__comm ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_insort__key__left__comm-1, axiom, ( ~class_Orderings_Olinorder(_u16818) | ( hAPP(_u16819, _u16820) = hAPP(_u16819, _u16821)) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16822, _u16818, _u16819), _u16821), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16822, _u16818, _u16819), _u16820), _u16823)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16822, _u16818, _u16819), _u16820), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16822, _u16818, _u16819), _u16821), _u16823))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_insort__left__comm ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_insort__left__comm-1, axiom, ( ~class_Orderings_Olinorder(_u16824) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16824, _u16824, c_COMBI(_u16824)), _u16825), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16824, _u16824, c_COMBI(_u16824)), _u16826), _u16827)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16824, _u16824, c_COMBI(_u16824)), _u16826), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16824, _u16824, c_COMBI(_u16824)), _u16825), _u16827))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_fun__left__comm__insort ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_fun__left__comm__insort-1, axiom, ( ~class_Orderings_Olinorder(_u16828) | c_Finite__Set_Ofun__left__comm(_u16828, tc_List_Olist(_u16828), c_List_Olinorder__class_Oinsort__key(_u16828, _u16828, c_COMBI(_u16828))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_set__insort ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_set__insort-1, axiom, ( ~class_Orderings_Olinorder(_u16829) | ( hAPP(c_List_Oset(_u16830), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16830, _u16829, _u16831), _u16832), _u16833)) = hAPP(hAPP(c_Set_Oinsert(_u16830), _u16832), hAPP(c_List_Oset(_u16830), _u16833))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_remove1__insort ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_remove1__insort-1, axiom, ( ~class_Orderings_Olinorder(_u16834) | ( c_List_Oremove1(_u16834, _u16835, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16834, _u16834, c_COMBI(_u16834)), _u16835), _u16836)) = _u16836) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_insort__not__Nil ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_insort__not__Nil-1, axiom, ( ~class_Orderings_Olinorder(_u16837) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16838, _u16837, _u16839), _u16840), _u16841) != c_List_Olist_ONil(_u16838)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_distinct__insort ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_distinct__insort-1, axiom, ( ~class_Orderings_Olinorder(_u16842) | ~hBOOL(hAPP(c_List_Odistinct(_u16843), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16843, _u16842, _u16844), _u16845), _u16846))) | ~hBOOL(hAPP(hAPP(c_member(_u16843), _u16845), hAPP(c_List_Oset(_u16843), _u16846))) )).
% 20.36/20.57 cnf(fact_distinct__insort-2, axiom, ( ~class_Orderings_Olinorder(_u16842) | ~hBOOL(hAPP(c_List_Odistinct(_u16843), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16843, _u16842, _u16844), _u16845), _u16846))) | hBOOL(hAPP(c_List_Odistinct(_u16843), _u16846)) )).
% 20.36/20.57 cnf(fact_distinct__insort-3, axiom, ( ~class_Orderings_Olinorder(_u16842) | hBOOL(hAPP(hAPP(c_member(_u16843), _u16845), hAPP(c_List_Oset(_u16843), _u16846))) | ~hBOOL(hAPP(c_List_Odistinct(_u16843), _u16846)) | hBOOL(hAPP(c_List_Odistinct(_u16843), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16843, _u16842, _u16844), _u16845), _u16846))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_insort__insert__insort__key ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_insort__insert__insort__key-1, axiom, ( ~class_Orderings_Olinorder(_u16847) | hBOOL(hAPP(hAPP(c_member(_u16847), hAPP(_u16848, _u16849)), hAPP(c_Set_Oimage(_u16850, _u16847, _u16848), hAPP(c_List_Oset(_u16850), _u16851)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u16850, _u16847, _u16848, _u16849, _u16851) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16850, _u16847, _u16848), _u16849), _u16851)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_insort__insert__insort ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_insort__insert__insort-1, axiom, ( ~class_Orderings_Olinorder(_u16852) | hBOOL(hAPP(hAPP(c_member(_u16852), _u16853), hAPP(c_List_Oset(_u16852), _u16854))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u16852, _u16852, c_COMBI(_u16852), _u16853, _u16854) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16852, _u16852, c_COMBI(_u16852)), _u16853), _u16854)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_distinct__insort__insert ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_distinct__insort__insert-1, axiom, ( ~class_Orderings_Olinorder(_u16855) | ~hBOOL(hAPP(c_List_Odistinct(_u16856), _u16857)) | hBOOL(hAPP(c_List_Odistinct(_u16856), c_List_Olinorder__class_Oinsort__insert__key(_u16856, _u16855, _u16858, _u16859, _u16857))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_insort__insert__triv ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_insort__insert__triv-1, axiom, ( ~class_Orderings_Olinorder(_u16860) | ~hBOOL(hAPP(hAPP(c_member(_u16860), _u16861), hAPP(c_List_Oset(_u16860), _u16862))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u16860, _u16860, c_COMBI(_u16860), _u16861, _u16862) = _u16862) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_set__insort__insert ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_set__insort__insert-1, axiom, ( ~class_Orderings_Olinorder(_u16863) | ( hAPP(c_List_Oset(_u16863), c_List_Olinorder__class_Oinsort__insert__key(_u16863, _u16863, c_COMBI(_u16863), _u16864, _u16865)) = hAPP(hAPP(c_Set_Oinsert(_u16863), _u16864), hAPP(c_List_Oset(_u16863), _u16865))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_insort__insert__key__triv ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_insort__insert__key__triv-1, axiom, ( ~class_Orderings_Olinorder(_u16866) | ~hBOOL(hAPP(hAPP(c_member(_u16866), hAPP(_u16867, _u16868)), hAPP(c_Set_Oimage(_u16869, _u16866, _u16867), hAPP(c_List_Oset(_u16869), _u16870)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u16869, _u16866, _u16867, _u16868, _u16870) = _u16870) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_last__list__update ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_last__list__update-1, axiom, ( ( _u16871 = c_List_Olist_ONil(_u16872)) | ( _u16873 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16872)), _u16871)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u16872, hAPP(hAPP(c_List_Olist__update(_u16872, _u16871), _u16873), _u16874)) = _u16874) )).
% 20.36/20.57 cnf(fact_last__list__update-2, axiom, ( ( _u16871 = c_List_Olist_ONil(_u16872)) | ( _u16873 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16872)), _u16871)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u16872, hAPP(hAPP(c_List_Olist__update(_u16872, _u16871), _u16873), _u16874)) = c_List_Olast(_u16872, _u16871)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_last__conv__nth ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_last__conv__nth-1, axiom, ( ( _u16875 = c_List_Olist_ONil(_u16876)) | ( c_List_Olast(_u16876, _u16875) = hAPP(hAPP(c_List_Onth(_u16876), _u16875), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16876)), _u16875)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_last_Osimps ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_last_Osimps-1, axiom, ( ( _u16880 != c_List_Olist_ONil(_u16882)) | ( c_List_Olast(_u16882, hAPP(hAPP(c_List_Olist_OCons(_u16882), _u16884), _u16880)) = _u16884) )).
% 20.36/20.57 cnf(fact_last_Osimps-2, axiom, ( ( _u16881 = c_List_Olist_ONil(_u16883)) | ( c_List_Olast(_u16883, hAPP(hAPP(c_List_Olist_OCons(_u16883), _u16885), _u16881)) = c_List_Olast(_u16883, _u16881)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_last__ConsR ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_last__ConsR-1, axiom, ( ( _u16886 = c_List_Olist_ONil(_u16887)) | ( c_List_Olast(_u16887, hAPP(hAPP(c_List_Olist_OCons(_u16887), _u16888), _u16886)) = c_List_Olast(_u16887, _u16886)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_last__ConsL ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_last__ConsL-1, axiom, ( ( _u16889 != c_List_Olist_ONil(_u16890)) | ( c_List_Olast(_u16890, hAPP(hAPP(c_List_Olist_OCons(_u16890), _u16891), _u16889)) = _u16891) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_last__append ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_last__append-1, axiom, ( ( _u16895 != c_List_Olist_ONil(_u16897)) | ( c_List_Olast(_u16897, hAPP(hAPP(c_List_Oappend(_u16897), _u16899), _u16895)) = c_List_Olast(_u16897, _u16899)) )).
% 20.36/20.57 cnf(fact_last__append-2, axiom, ( ( _u16896 = c_List_Olist_ONil(_u16898)) | ( c_List_Olast(_u16898, hAPP(hAPP(c_List_Oappend(_u16898), _u16900), _u16896)) = c_List_Olast(_u16898, _u16896)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_last__appendR ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_last__appendR-1, axiom, ( ( _u16901 = c_List_Olist_ONil(_u16902)) | ( c_List_Olast(_u16902, hAPP(hAPP(c_List_Oappend(_u16902), _u16903), _u16901)) = c_List_Olast(_u16902, _u16901)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_last__appendL ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_last__appendL-1, axiom, ( ( _u16904 != c_List_Olist_ONil(_u16905)) | ( c_List_Olast(_u16905, hAPP(hAPP(c_List_Oappend(_u16905), _u16906), _u16904)) = c_List_Olast(_u16905, _u16906)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_last__in__set ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_last__in__set-1, axiom, ( ( _u16907 = c_List_Olist_ONil(_u16908)) | hBOOL(hAPP(hAPP(c_member(_u16908), c_List_Olast(_u16908, _u16907)), hAPP(c_List_Oset(_u16908), _u16907))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_last__snoc ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_last__snoc-1, axiom, ( ( c_List_Olast(_u16909, hAPP(hAPP(c_List_Oappend(_u16909), _u16910), hAPP(hAPP(c_List_Olist_OCons(_u16909), _u16911), c_List_Olist_ONil(_u16909)))) = _u16911) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_last__drop ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_last__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16912), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16913)), _u16914))) | ( c_List_Olast(_u16913, hAPP(hAPP(c_List_Odrop(_u16913), _u16912), _u16914)) = c_List_Olast(_u16913, _u16914)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_append__butlast__last__id ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_append__butlast__last__id-1, axiom, ( ( _u16915 = c_List_Olist_ONil(_u16916)) | ( hAPP(hAPP(c_List_Oappend(_u16916), c_List_Obutlast(_u16916, _u16915)), hAPP(hAPP(c_List_Olist_OCons(_u16916), c_List_Olast(_u16916, _u16915)), c_List_Olist_ONil(_u16916))) = _u16915) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_snoc__eq__iff__butlast ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_snoc__eq__iff__butlast-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16921), _u16923), hAPP(hAPP(c_List_Olist_OCons(_u16921), _u16925), c_List_Olist_ONil(_u16921))) != _u16927) | ( _u16927 != c_List_Olist_ONil(_u16921)) )).
% 20.36/20.57 cnf(fact_snoc__eq__iff__butlast-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16921), _u16923), hAPP(hAPP(c_List_Olist_OCons(_u16921), _u16925), c_List_Olist_ONil(_u16921))) != _u16927) | ( c_List_Obutlast(_u16921, _u16927) = _u16923) )).
% 20.36/20.57 cnf(fact_snoc__eq__iff__butlast-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16921), _u16923), hAPP(hAPP(c_List_Olist_OCons(_u16921), _u16925), c_List_Olist_ONil(_u16921))) != _u16927) | ( c_List_Olast(_u16921, _u16927) = _u16925) )).
% 20.36/20.57 cnf(fact_snoc__eq__iff__butlast-4, axiom, ( ( _u16928 = c_List_Olist_ONil(_u16922)) | ( c_List_Obutlast(_u16922, _u16928) != _u16924) | ( c_List_Olast(_u16922, _u16928) != _u16926) | ( hAPP(hAPP(c_List_Oappend(_u16922), _u16924), hAPP(hAPP(c_List_Olist_OCons(_u16922), _u16926), c_List_Olist_ONil(_u16922))) = _u16928) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_lists_Osimps ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_lists_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16936)), _u16938), c_List_Olists(_u16936, _u16940))) | ( _u16938 = c_List_Olist_ONil(_u16936)) | hBOOL(hAPP(hAPP(c_member(_u16936), skolem436(_u16940, _u16938, _u16936)), _u16940)) )).
% 20.36/20.57 cnf(fact_lists_Osimps-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16936)), _u16938), c_List_Olists(_u16936, _u16940))) | ( _u16938 = c_List_Olist_ONil(_u16936)) | ( _u16938 = hAPP(hAPP(c_List_Olist_OCons(_u16936), skolem436(_u16940, _u16938, _u16936)), skolem437(_u16940, _u16938, _u16936))) )).
% 20.36/20.57 cnf(fact_lists_Osimps-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16936)), _u16938), c_List_Olists(_u16936, _u16940))) | ( _u16938 = c_List_Olist_ONil(_u16936)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16936)), skolem437(_u16940, _u16938, _u16936)), c_List_Olists(_u16936, _u16940))) )).
% 20.36/20.57 cnf(fact_lists_Osimps-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16937)), _u16939), c_List_Olists(_u16937, _u16941))) | ( _u16939 != c_List_Olist_ONil(_u16937)) )).
% 20.36/20.57 cnf(fact_lists_Osimps-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16937)), _u16939), c_List_Olists(_u16937, _u16941))) | ~hBOOL(hAPP(hAPP(c_member(_u16937), _u16932), _u16941)) | ( _u16939 != hAPP(hAPP(c_List_Olist_OCons(_u16937), _u16932), _u16931)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16937)), _u16931), c_List_Olists(_u16937, _u16941))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_select__weigth__select ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_select__weigth__select-1, axiom, ( ( _u16942 = c_List_Olist_ONil(_u16943)) | ( c_Random_Oselect__weight(_u16943, hAPP(hAPP(c_List_Omap(_u16943, tc_prod(tc_Code__Numeral_Ocode__numeral, _u16943)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u16943), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u16942)) = c_Random_Oselect(_u16943, _u16942)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_inj__mapI ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_inj__mapI-1, axiom, ( ~c_Fun_Oinj__on(_u16944, _u16945, _u16946, c_Orderings_Otop__class_Otop(tc_fun(_u16944, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u16944), tc_List_Olist(_u16945), hAPP(c_List_Omap(_u16944, _u16945), _u16946), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u16944), tc_HOL_Obool))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_last__map ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_last__map-1, axiom, ( ( _u16947 = c_List_Olist_ONil(_u16948)) | ( c_List_Olast(_u16949, hAPP(hAPP(c_List_Omap(_u16948, _u16949), _u16950), _u16947)) = hAPP(_u16950, c_List_Olast(_u16948, _u16947))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_foldl__map ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_foldl__map-1, axiom, ( ( hAPP(c_List_Ofoldl(_u16951, _u16952, _u16953, _u16954), hAPP(hAPP(c_List_Omap(_u16955, _u16952), _u16956), _u16957)) = hAPP(c_List_Ofoldl(_u16951, _u16955, hAPP(hAPP(c_COMBC(_u16951, tc_fun(_u16955, _u16952), tc_fun(_u16955, _u16951)), hAPP(hAPP(c_COMBB(tc_fun(_u16952, _u16951), tc_fun(tc_fun(_u16955, _u16952), tc_fun(_u16955, _u16951)), _u16951), c_COMBB(_u16952, _u16951, _u16955)), _u16953)), _u16956), _u16954), _u16957)) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_rotate__map ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_rotate__map-1, axiom, ( ( hAPP(c_List_Orotate(_u16958, _u16959), hAPP(hAPP(c_List_Omap(_u16960, _u16958), _u16961), _u16962)) = hAPP(hAPP(c_List_Omap(_u16960, _u16958), _u16961), hAPP(c_List_Orotate(_u16960, _u16959), _u16962))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_map__tl ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_map__tl-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u16963, _u16964), _u16965), hAPP(c_List_Otl(_u16963), _u16966)) = hAPP(c_List_Otl(_u16964), hAPP(hAPP(c_List_Omap(_u16963, _u16964), _u16965), _u16966))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_zip__map2 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_zip__map2-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16967, _u16968), _u16969), hAPP(hAPP(c_List_Omap(_u16970, _u16968), _u16971), _u16972)) = hAPP(hAPP(c_List_Omap(tc_prod(_u16967, _u16970), tc_prod(_u16967, _u16968)), hAPP(c_Product__Type_Oprod_Oprod__case(_u16967, _u16970, tc_prod(_u16967, _u16968)), hAPP(hAPP(c_COMBC(_u16967, tc_fun(_u16970, _u16968), tc_fun(_u16970, tc_prod(_u16967, _u16968))), hAPP(hAPP(c_COMBB(tc_fun(_u16968, tc_prod(_u16967, _u16968)), tc_fun(tc_fun(_u16970, _u16968), tc_fun(_u16970, tc_prod(_u16967, _u16968))), _u16967), c_COMBB(_u16968, tc_prod(_u16967, _u16968), _u16970)), c_Product__Type_OPair(_u16967, _u16968))), _u16971))), hAPP(hAPP(c_List_Ozip(_u16967, _u16970), _u16969), _u16972))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_map__zip__map2 ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_map__zip__map2-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u16973, _u16974), _u16975), _u16976), hAPP(hAPP(c_List_Ozip(_u16973, _u16974), _u16977), hAPP(hAPP(c_List_Omap(_u16978, _u16974), _u16979), _u16980))) = hAPP(hAPP(c_List_Omap(tc_prod(_u16973, _u16978), _u16975), hAPP(c_Product__Type_Oprod_Oprod__case(_u16973, _u16978, _u16975), hAPP(hAPP(c_COMBB(tc_fun(_u16978, tc_prod(_u16973, _u16974)), tc_fun(_u16978, _u16975), _u16973), hAPP(c_COMBB(tc_prod(_u16973, _u16974), _u16975, _u16978), _u16976)), hAPP(hAPP(c_COMBC(_u16973, tc_fun(_u16978, _u16974), tc_fun(_u16978, tc_prod(_u16973, _u16974))), hAPP(hAPP(c_COMBB(tc_fun(_u16974, tc_prod(_u16973, _u16974)), tc_fun(tc_fun(_u16978, _u16974), tc_fun(_u16978, tc_prod(_u16973, _u16974))), _u16973), c_COMBB(_u16974, tc_prod(_u16973, _u16974), _u16978)), c_Product__Type_OPair(_u16973, _u16974))), _u16979)))), hAPP(hAPP(c_List_Ozip(_u16973, _u16978), _u16977), _u16980))) )).
% 20.36/20.57
% 20.36/20.57 % Formula: fact_map__zip__map ( axiom ) converted to clauses:
% 20.36/20.57 cnf(fact_map__zip__map-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u16981, _u16982), _u16983), _u16984), hAPP(hAPP(c_List_Ozip(_u16981, _u16982), hAPP(hAPP(c_List_Omap(_u16985, _u16981), _u16986), _u16987)), _u16988)) = hAPP(hAPP(c_List_Omap(tc_prod(_u16985, _u16982), _u16983), hAPP(c_Product__Type_Oprod_Oprod__case(_u16985, _u16982, _u16983), hAPP(hAPP(c_COMBB(tc_fun(_u16982, tc_prod(_u16981, _u16982)), tc_fun(_u16982, _u16983), _u16985), hAPP(c_COMBB(tc_prod(_u16981, _u16982), _u16983, _u16982), _u16984)), hAPP(hAPP(c_COMBB(_u16981, tc_fun(_u16982, tc_prod(_u16981, _u16982)), _u16985), c_Product__Type_OPair(_u16981, _u16982)), _u16986)))), hAPP(hAPP(c_List_Ozip(_u16985, _u16982), _u16987), _u16988))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_zip__map1 ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_zip__map1-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16989, _u16990), hAPP(hAPP(c_List_Omap(_u16991, _u16989), _u16992), _u16993)), _u16994) = hAPP(hAPP(c_List_Omap(tc_prod(_u16991, _u16990), tc_prod(_u16989, _u16990)), hAPP(c_Product__Type_Oprod_Oprod__case(_u16991, _u16990, tc_prod(_u16989, _u16990)), hAPP(hAPP(c_COMBB(_u16989, tc_fun(_u16990, tc_prod(_u16989, _u16990)), _u16991), c_Product__Type_OPair(_u16989, _u16990)), _u16992))), hAPP(hAPP(c_List_Ozip(_u16991, _u16990), _u16993), _u16994))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_zip__map__map ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_zip__map__map-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16995, _u16996), hAPP(hAPP(c_List_Omap(_u16997, _u16995), _u16998), _u16999)), hAPP(hAPP(c_List_Omap(_u17000, _u16996), _u17001), _u17002)) = hAPP(hAPP(c_List_Omap(tc_prod(_u16997, _u17000), tc_prod(_u16995, _u16996)), hAPP(c_Product__Type_Oprod_Oprod__case(_u16997, _u17000, tc_prod(_u16995, _u16996)), hAPP(hAPP(c_COMBC(_u16997, tc_fun(_u17000, _u16996), tc_fun(_u17000, tc_prod(_u16995, _u16996))), hAPP(hAPP(c_COMBB(tc_fun(_u16996, tc_prod(_u16995, _u16996)), tc_fun(tc_fun(_u17000, _u16996), tc_fun(_u17000, tc_prod(_u16995, _u16996))), _u16997), c_COMBB(_u16996, tc_prod(_u16995, _u16996), _u17000)), hAPP(hAPP(c_COMBB(_u16995, tc_fun(_u16996, tc_prod(_u16995, _u16996)), _u16997), c_Product__Type_OPair(_u16995, _u16996)), _u16998))), _u17001))), hAPP(hAPP(c_List_Ozip(_u16997, _u17000), _u16999), _u17002))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_zip__same__conv__map ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_zip__same__conv__map-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u17003, _u17003), _u17004), _u17004) = hAPP(hAPP(c_List_Omap(_u17003, tc_prod(_u17003, _u17003)), hAPP(hAPP(c_COMBS(_u17003, _u17003, tc_prod(_u17003, _u17003)), c_Product__Type_OPair(_u17003, _u17003)), c_COMBI(_u17003))), _u17004)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_map__is__Nil__conv ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_map__is__Nil__conv-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17009, _u17011), _u17013), _u17015) != c_List_Olist_ONil(_u17011)) | ( _u17015 = c_List_Olist_ONil(_u17009)) )).
% 20.36/20.58 cnf(fact_map__is__Nil__conv-2, axiom, ( ( _u17016 != c_List_Olist_ONil(_u17010)) | ( hAPP(hAPP(c_List_Omap(_u17010, _u17012), _u17014), _u17016) = c_List_Olist_ONil(_u17012)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_map_Osimps_I1_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_map_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17017, _u17018), _u17019), c_List_Olist_ONil(_u17017)) = c_List_Olist_ONil(_u17018)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_Nil__is__map__conv ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_Nil__is__map__conv-1, axiom, ( ( _u17030 = c_List_Olist_ONil(_u17026)) | ( c_List_Olist_ONil(_u17024) != hAPP(hAPP(c_List_Omap(_u17026, _u17024), _u17028), _u17030)) )).
% 20.36/20.58 cnf(fact_Nil__is__map__conv-2, axiom, ( ( _u17031 != c_List_Olist_ONil(_u17027)) | ( c_List_Olist_ONil(_u17025) = hAPP(hAPP(c_List_Omap(_u17027, _u17025), _u17029), _u17031)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_map__update ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_map__update-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17032, _u17033), _u17034), hAPP(hAPP(c_List_Olist__update(_u17032, _u17035), _u17036), _u17037)) = hAPP(hAPP(c_List_Olist__update(_u17033, hAPP(hAPP(c_List_Omap(_u17032, _u17033), _u17034), _u17035)), _u17036), hAPP(_u17034, _u17037))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_map__eq__conv ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_map__eq__conv-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17045, _u17047), _u17049), _u17051) != hAPP(hAPP(c_List_Omap(_u17045, _u17047), _u17053), _u17051)) | ~hBOOL(hAPP(hAPP(c_member(_u17045), _u17038), hAPP(c_List_Oset(_u17045), _u17051))) | ( hAPP(_u17049, _u17038) = hAPP(_u17053, _u17038)) )).
% 20.36/20.58 cnf(fact_map__eq__conv-2, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17046, _u17048), _u17050), _u17052) = hAPP(hAPP(c_List_Omap(_u17046, _u17048), _u17054), _u17052)) | hBOOL(hAPP(hAPP(c_member(_u17046), skolem438(_u17054, _u17052, _u17050, _u17048, _u17046)), hAPP(c_List_Oset(_u17046), _u17052))) )).
% 20.36/20.58 cnf(fact_map__eq__conv-3, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17046, _u17048), _u17050), _u17052) = hAPP(hAPP(c_List_Omap(_u17046, _u17048), _u17054), _u17052)) | ( hAPP(_u17050, skolem438(_u17054, _u17052, _u17050, _u17048, _u17046)) != hAPP(_u17054, skolem438(_u17054, _u17052, _u17050, _u17048, _u17046))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_map__eq__imp__length__eq ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_map__eq__imp__length__eq-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17055, _u17056), _u17057), _u17058) != hAPP(hAPP(c_List_Omap(_u17059, _u17056), _u17060), _u17061)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17055)), _u17058) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17059)), _u17061)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_length__map ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_length__map-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17062)), hAPP(hAPP(c_List_Omap(_u17063, _u17062), _u17064), _u17065)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17063)), _u17065)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_listsum__mult__const ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_listsum__mult__const-1, axiom, ( ~class_Rings_Osemiring__0(_u17066) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17066), hAPP(hAPP(c_List_Omap(_u17067, _u17066), hAPP(hAPP(c_COMBC(_u17067, _u17066, _u17066), hAPP(hAPP(c_COMBB(_u17066, tc_fun(_u17066, _u17066), _u17067), c_Groups_Otimes__class_Otimes(_u17066)), _u17068)), _u17069)), _u17070)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u17066), hAPP(c_List_Omonoid__add__class_Olistsum(_u17066), hAPP(hAPP(c_List_Omap(_u17067, _u17066), _u17068), _u17070))), _u17069)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_listsum__const__mult ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_listsum__const__mult-1, axiom, ( ~class_Rings_Osemiring__0(_u17071) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17071), hAPP(hAPP(c_List_Omap(_u17072, _u17071), hAPP(hAPP(c_COMBB(_u17071, _u17071, _u17072), hAPP(c_Groups_Otimes__class_Otimes(_u17071), _u17073)), _u17074)), _u17075)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u17071), _u17073), hAPP(c_List_Omonoid__add__class_Olistsum(_u17071), hAPP(hAPP(c_List_Omap(_u17072, _u17071), _u17074), _u17075)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_listsum__0 ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_listsum__0-1, axiom, ( ~class_Groups_Omonoid__add(_u17076) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17076), hAPP(hAPP(c_List_Omap(_u17077, _u17076), hAPP(c_COMBK(_u17076, _u17077), c_Groups_Ozero__class_Ozero(_u17076))), _u17078)) = c_Groups_Ozero__class_Ozero(_u17076)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_listsum__addf ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_listsum__addf-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u17079) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17079), hAPP(hAPP(c_List_Omap(_u17080, _u17079), hAPP(hAPP(c_COMBS(_u17080, _u17079, _u17079), hAPP(hAPP(c_COMBB(_u17079, tc_fun(_u17079, _u17079), _u17080), c_Groups_Oplus__class_Oplus(_u17079)), _u17081)), _u17082)), _u17083)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17079), hAPP(c_List_Omonoid__add__class_Olistsum(_u17079), hAPP(hAPP(c_List_Omap(_u17080, _u17079), _u17081), _u17083))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17079), hAPP(hAPP(c_List_Omap(_u17080, _u17079), _u17082), _u17083)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_listsum__subtractf ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_listsum__subtractf-1, axiom, ( ~class_Groups_Oab__group__add(_u17084) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17084), hAPP(hAPP(c_List_Omap(_u17085, _u17084), hAPP(hAPP(c_COMBS(_u17085, _u17084, _u17084), hAPP(hAPP(c_COMBB(_u17084, tc_fun(_u17084, _u17084), _u17085), c_Groups_Ominus__class_Ominus(_u17084)), _u17086)), _u17087)), _u17088)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u17084), hAPP(c_List_Omonoid__add__class_Olistsum(_u17084), hAPP(hAPP(c_List_Omap(_u17085, _u17084), _u17086), _u17088))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17084), hAPP(hAPP(c_List_Omap(_u17085, _u17084), _u17087), _u17088)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_inj__map__eq__map ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_inj__map__eq__map-1, axiom, ( ~c_Fun_Oinj__on(_u17089, _u17090, _u17091, c_Orderings_Otop__class_Otop(tc_fun(_u17089, tc_HOL_Obool))) | ( hAPP(hAPP(c_List_Omap(_u17089, _u17090), _u17091), _u17092) != hAPP(hAPP(c_List_Omap(_u17089, _u17090), _u17091), _u17093)) | ( _u17092 = _u17093) )).
% 20.36/20.58 cnf(fact_inj__map__eq__map-2, axiom, ( ~c_Fun_Oinj__on(_u17089, _u17090, _u17091, c_Orderings_Otop__class_Otop(tc_fun(_u17089, tc_HOL_Obool))) | ( _u17092 != _u17093) | ( hAPP(hAPP(c_List_Omap(_u17089, _u17090), _u17091), _u17092) = hAPP(hAPP(c_List_Omap(_u17089, _u17090), _u17091), _u17093)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_map__injective ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_map__injective-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17094, _u17095), _u17096), _u17097) != hAPP(hAPP(c_List_Omap(_u17094, _u17095), _u17096), _u17098)) | ~c_Fun_Oinj__on(_u17094, _u17095, _u17096, c_Orderings_Otop__class_Otop(tc_fun(_u17094, tc_HOL_Obool))) | ( _u17097 = _u17098) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_map__ident ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_map__ident-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17099, _u17099), c_COMBI(_u17099)), _u17100) = _u17100) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_take__map ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_take__map-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u17101), _u17102), hAPP(hAPP(c_List_Omap(_u17103, _u17101), _u17104), _u17105)) = hAPP(hAPP(c_List_Omap(_u17103, _u17101), _u17104), hAPP(hAPP(c_List_Otake(_u17103), _u17102), _u17105))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_map__butlast ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_map__butlast-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17106, _u17107), _u17108), c_List_Obutlast(_u17106, _u17109)) = c_List_Obutlast(_u17107, hAPP(hAPP(c_List_Omap(_u17106, _u17107), _u17108), _u17109))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_set__map ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_set__map-1, axiom, ( ( hAPP(c_List_Oset(_u17110), hAPP(hAPP(c_List_Omap(_u17111, _u17110), _u17112), _u17113)) = hAPP(c_Set_Oimage(_u17111, _u17110, _u17112), hAPP(c_List_Oset(_u17111), _u17113))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_map_Osimps_I2_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_map_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17114, _u17115), _u17116), hAPP(hAPP(c_List_Olist_OCons(_u17114), _u17117), _u17118)) = hAPP(hAPP(c_List_Olist_OCons(_u17115), hAPP(_u17116, _u17117)), hAPP(hAPP(c_List_Omap(_u17114, _u17115), _u17116), _u17118))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_map__append ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_map__append-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17119, _u17120), _u17121), hAPP(hAPP(c_List_Oappend(_u17119), _u17122), _u17123)) = hAPP(hAPP(c_List_Oappend(_u17120), hAPP(hAPP(c_List_Omap(_u17119, _u17120), _u17121), _u17122)), hAPP(hAPP(c_List_Omap(_u17119, _u17120), _u17121), _u17123))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_hd__map ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_hd__map-1, axiom, ( ( _u17124 = c_List_Olist_ONil(_u17125)) | ( hAPP(c_List_Ohd(_u17126), hAPP(hAPP(c_List_Omap(_u17125, _u17126), _u17127), _u17124)) = hAPP(_u17127, hAPP(c_List_Ohd(_u17125), _u17124))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_drop__map ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_drop__map-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u17128), _u17129), hAPP(hAPP(c_List_Omap(_u17130, _u17128), _u17131), _u17132)) = hAPP(hAPP(c_List_Omap(_u17130, _u17128), _u17131), hAPP(hAPP(c_List_Odrop(_u17130), _u17129), _u17132))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_List_Omap_Oid ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_List_Omap_Oid-1, axiom, ( ( hAPP(c_List_Omap(_u17133, _u17133), c_Fun_Oid(_u17133)) = c_Fun_Oid(tc_List_Olist(_u17133))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_List_Omap_Oidentity ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_List_Omap_Oidentity-1, axiom, ( ( hAPP(c_List_Omap(_u17134, _u17134), c_COMBI(_u17134)) = c_Fun_Oid(tc_List_Olist(_u17134))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_List_Omap_Ocomp ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_List_Omap_Ocomp-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u17135), tc_List_Olist(_u17136), tc_List_Olist(_u17137), hAPP(c_List_Omap(_u17135, _u17136), _u17138)), hAPP(c_List_Omap(_u17137, _u17135), _u17139)) = hAPP(c_List_Omap(_u17137, _u17136), hAPP(c_Fun_Ocomp(_u17135, _u17136, _u17137, _u17138), _u17139))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_map__comp__map ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_map__comp__map-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u17140), tc_List_Olist(_u17141), tc_List_Olist(_u17142), hAPP(c_List_Omap(_u17140, _u17141), _u17143)), hAPP(c_List_Omap(_u17142, _u17140), _u17144)) = hAPP(c_List_Omap(_u17142, _u17141), hAPP(c_Fun_Ocomp(_u17140, _u17141, _u17142, _u17143), _u17144))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_List_Omap_Ocompositionality ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_List_Omap_Ocompositionality-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17145, _u17146), _u17147), hAPP(hAPP(c_List_Omap(_u17148, _u17145), _u17149), _u17150)) = hAPP(hAPP(c_List_Omap(_u17148, _u17146), hAPP(c_Fun_Ocomp(_u17145, _u17146, _u17148, _u17147), _u17149)), _u17150)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_map__map ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_map__map-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17151, _u17152), _u17153), hAPP(hAPP(c_List_Omap(_u17154, _u17151), _u17155), _u17156)) = hAPP(hAPP(c_List_Omap(_u17154, _u17152), hAPP(c_Fun_Ocomp(_u17151, _u17152, _u17154, _u17153), _u17155)), _u17156)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_list__size__map ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_list__size__map-1, axiom, ( ( c_List_Olist_Olist__size(_u17157, _u17158, hAPP(hAPP(c_List_Omap(_u17159, _u17157), _u17160), _u17161)) = c_List_Olist_Olist__size(_u17159, hAPP(c_Fun_Ocomp(_u17157, tc_Nat_Onat, _u17159, _u17158), _u17160), _u17161)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_map__inj__on ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_map__inj__on-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17162, _u17163), _u17164), _u17165) != hAPP(hAPP(c_List_Omap(_u17162, _u17163), _u17164), _u17166)) | ~c_Fun_Oinj__on(_u17162, _u17163, _u17164, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17162, tc_HOL_Obool)), hAPP(c_List_Oset(_u17162), _u17165)), hAPP(c_List_Oset(_u17162), _u17166))) | ( _u17165 = _u17166) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_inj__on__map__eq__map ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_inj__on__map__eq__map-1, axiom, ( ~c_Fun_Oinj__on(_u17167, _u17168, _u17169, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17167, tc_HOL_Obool)), hAPP(c_List_Oset(_u17167), _u17170)), hAPP(c_List_Oset(_u17167), _u17171))) | ( hAPP(hAPP(c_List_Omap(_u17167, _u17168), _u17169), _u17170) != hAPP(hAPP(c_List_Omap(_u17167, _u17168), _u17169), _u17171)) | ( _u17170 = _u17171) )).
% 20.36/20.58 cnf(fact_inj__on__map__eq__map-2, axiom, ( ~c_Fun_Oinj__on(_u17167, _u17168, _u17169, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17167, tc_HOL_Obool)), hAPP(c_List_Oset(_u17167), _u17170)), hAPP(c_List_Oset(_u17167), _u17171))) | ( _u17170 != _u17171) | ( hAPP(hAPP(c_List_Omap(_u17167, _u17168), _u17169), _u17170) = hAPP(hAPP(c_List_Omap(_u17167, _u17168), _u17169), _u17171)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_nth__map ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_nth__map-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17172), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17173)), _u17174))) | ( hAPP(hAPP(c_List_Onth(_u17175), hAPP(hAPP(c_List_Omap(_u17173, _u17175), _u17176), _u17174)), _u17172) = hAPP(_u17176, hAPP(hAPP(c_List_Onth(_u17173), _u17174), _u17172))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_map__fun__upd ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_map__fun__upd-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17177), _u17178), hAPP(c_List_Oset(_u17177), _u17179))) | ( hAPP(hAPP(c_List_Omap(_u17177, _u17180), c_Fun_Ofun__upd(_u17177, _u17180, _u17181, _u17178, _u17182)), _u17179) = hAPP(hAPP(c_List_Omap(_u17177, _u17180), _u17181), _u17179)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_distinct__map ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_distinct__map-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17187), hAPP(hAPP(c_List_Omap(_u17189, _u17187), _u17191), _u17193))) | hBOOL(hAPP(c_List_Odistinct(_u17189), _u17193)) )).
% 20.36/20.58 cnf(fact_distinct__map-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17187), hAPP(hAPP(c_List_Omap(_u17189, _u17187), _u17191), _u17193))) | c_Fun_Oinj__on(_u17189, _u17187, _u17191, hAPP(c_List_Oset(_u17189), _u17193)) )).
% 20.36/20.58 cnf(fact_distinct__map-3, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17190), _u17194)) | ~c_Fun_Oinj__on(_u17190, _u17188, _u17192, hAPP(c_List_Oset(_u17190), _u17194)) | hBOOL(hAPP(c_List_Odistinct(_u17188), hAPP(hAPP(c_List_Omap(_u17190, _u17188), _u17192), _u17194))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_listsum__abs ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_listsum__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u17195) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17195), hAPP(c_Groups_Oabs__class_Oabs(_u17195), hAPP(c_List_Omonoid__add__class_Olistsum(_u17195), _u17196))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17195), hAPP(hAPP(c_List_Omap(_u17195, _u17195), c_Groups_Oabs__class_Oabs(_u17195)), _u17196)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_uminus__listsum__map ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_uminus__listsum__map-1, axiom, ( ~class_Groups_Oab__group__add(_u17197) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u17197), hAPP(c_List_Omonoid__add__class_Olistsum(_u17197), hAPP(hAPP(c_List_Omap(_u17198, _u17197), _u17199), _u17200))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u17197), hAPP(hAPP(c_List_Omap(_u17198, _u17197), hAPP(c_Fun_Ocomp(_u17197, _u17197, _u17198, c_Groups_Ouminus__class_Ouminus(_u17197)), _u17199)), _u17200))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_inj__on__mapI ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_inj__on__mapI-1, axiom, ( ~c_Fun_Oinj__on(_u17201, _u17202, _u17203, c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17201, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_List_Olist(_u17201), tc_fun(_u17201, tc_HOL_Obool), c_List_Oset(_u17201)), _u17204))) | c_Fun_Oinj__on(tc_List_Olist(_u17201), tc_List_Olist(_u17202), hAPP(c_List_Omap(_u17201, _u17202), _u17203), _u17204) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_inj__mapD ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_inj__mapD-1, axiom, ( ~c_Fun_Oinj__on(tc_List_Olist(_u17205), tc_List_Olist(_u17206), hAPP(c_List_Omap(_u17205, _u17206), _u17207), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17205), tc_HOL_Obool))) | c_Fun_Oinj__on(_u17205, _u17206, _u17207, c_Orderings_Otop__class_Otop(tc_fun(_u17205, tc_HOL_Obool))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_inj__map ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_inj__map-1, axiom, ( ~c_Fun_Oinj__on(tc_List_Olist(_u17211), tc_List_Olist(_u17213), hAPP(c_List_Omap(_u17211, _u17213), _u17215), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17211), tc_HOL_Obool))) | c_Fun_Oinj__on(_u17211, _u17213, _u17215, c_Orderings_Otop__class_Otop(tc_fun(_u17211, tc_HOL_Obool))) )).
% 20.36/20.58 cnf(fact_inj__map-2, axiom, ( ~c_Fun_Oinj__on(_u17212, _u17214, _u17216, c_Orderings_Otop__class_Otop(tc_fun(_u17212, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u17212), tc_List_Olist(_u17214), hAPP(c_List_Omap(_u17212, _u17214), _u17216), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17212), tc_HOL_Obool))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_listsum__distinct__conv__setsum__set ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_listsum__distinct__conv__setsum__set-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u17217) | ~hBOOL(hAPP(c_List_Odistinct(_u17218), _u17219)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17217), hAPP(hAPP(c_List_Omap(_u17218, _u17217), _u17220), _u17219)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u17218, _u17217), _u17220), hAPP(c_List_Oset(_u17218), _u17219))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_listsum__triv ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_listsum__triv-1, axiom, ( ~class_Rings_Osemiring__1(_u17221) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17221), hAPP(hAPP(c_List_Omap(_u17222, _u17221), hAPP(c_COMBK(_u17221, _u17222), _u17223)), _u17224)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u17221), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u17221), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17222)), _u17224))), _u17223)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_listsum__map__remove1 ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_listsum__map__remove1-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u17225) | ~hBOOL(hAPP(hAPP(c_member(_u17226), _u17227), hAPP(c_List_Oset(_u17226), _u17228))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17225), hAPP(hAPP(c_List_Omap(_u17226, _u17225), _u17229), _u17228)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17225), hAPP(_u17229, _u17227)), hAPP(c_List_Omonoid__add__class_Olistsum(_u17225), hAPP(hAPP(c_List_Omap(_u17226, _u17225), _u17229), c_List_Oremove1(_u17226, _u17227, _u17228))))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_Nitpick_Osetsum_H__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_Nitpick_Osetsum_H__def-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u17230) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17231), _u17232)) | ( c_Nitpick_Osetsum_H(_u17231, _u17230, _u17233, _u17232) = hAPP(c_List_Omonoid__add__class_Olistsum(_u17230), hAPP(hAPP(c_List_Omap(_u17231, _u17230), _u17233), c_Hilbert__Choice_OEps(tc_List_Olist(_u17231), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17231), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u17231)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17231), tc_fun(_u17231, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u17231, tc_HOL_Obool), tc_fun(tc_fun(_u17231, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u17231)), c_fequal), c_List_Oset(_u17231))), _u17232))), c_List_Odistinct(_u17231)))))) )).
% 20.36/20.58 cnf(fact_Nitpick_Osetsum_H__def-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u17230) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u17231), _u17232)) | ( c_Nitpick_Osetsum_H(_u17231, _u17230, _u17233, _u17232) = c_Groups_Ozero__class_Ozero(_u17230)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_pick__same ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_pick__same-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17234), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17235)), _u17236))) | ( hAPP(c_Random_Opick(_u17235, hAPP(hAPP(c_List_Omap(_u17235, tc_prod(tc_Code__Numeral_Ocode__numeral, _u17235)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u17235), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u17236)), hAPP(c_Code__Numeral_Oof__nat, _u17234)) = hAPP(hAPP(c_List_Onth(_u17235), _u17236), _u17234)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_zero__code__numeral__def ( axiom ) converted to clauses:
% 20.36/20.58 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))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_times__code__numeral__code ( axiom ) converted to clauses:
% 20.36/20.58 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, _u17237)), hAPP(c_Code__Numeral_Oof__nat, _u17238)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17237), _u17238))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_Code__Numeral_Oof__nat__code ( axiom ) converted to clauses:
% 20.36/20.58 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)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_Code__Numeral_Oof__nat__inject ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_Code__Numeral_Oof__nat__inject-1, axiom, ( ( hAPP(c_Code__Numeral_Oof__nat, _u17241) != hAPP(c_Code__Numeral_Oof__nat, _u17243)) | ( _u17241 = _u17243) )).
% 20.36/20.58 cnf(fact_Code__Numeral_Oof__nat__inject-2, axiom, ( ( _u17242 != _u17244) | ( hAPP(c_Code__Numeral_Oof__nat, _u17242) = hAPP(c_Code__Numeral_Oof__nat, _u17244)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_one__code__numeral__def ( axiom ) converted to clauses:
% 20.36/20.58 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))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_less__code__numeral__code ( axiom ) converted to clauses:
% 20.36/20.58 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, _u17247)), hAPP(c_Code__Numeral_Oof__nat, _u17249))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17247), _u17249)) )).
% 20.36/20.58 cnf(fact_less__code__numeral__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17248), _u17250)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u17248)), hAPP(c_Code__Numeral_Oof__nat, _u17250))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_code__numeral_Oof__nat__inject ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_code__numeral_Oof__nat__inject-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17251), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17252), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( hAPP(c_Code__Numeral_Oof__nat, _u17251) != hAPP(c_Code__Numeral_Oof__nat, _u17252)) | ( _u17251 = _u17252) )).
% 20.36/20.58 cnf(fact_code__numeral_Oof__nat__inject-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17251), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17252), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u17251 != _u17252) | ( hAPP(c_Code__Numeral_Oof__nat, _u17251) = hAPP(c_Code__Numeral_Oof__nat, _u17252)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_map__fst__zip ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_map__fst__zip-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17253)), _u17254) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17255)), _u17256)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17253, _u17255), _u17253), c_Product__Type_Ofst(_u17253, _u17255)), hAPP(hAPP(c_List_Ozip(_u17253, _u17255), _u17254), _u17256)) = _u17254) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_map__snd__zip ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_map__snd__zip-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17257)), _u17258) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17259)), _u17260)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17257, _u17259), _u17259), c_Product__Type_Osnd(_u17257, _u17259)), hAPP(hAPP(c_List_Ozip(_u17257, _u17259), _u17258), _u17260)) = _u17260) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_number__of__code__numeral__def ( axiom ) converted to clauses:
% 20.36/20.58 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)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_zip__map__fst__snd ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_zip__map__fst__snd-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u17261, _u17262), hAPP(hAPP(c_List_Omap(tc_prod(_u17261, _u17262), _u17261), c_Product__Type_Ofst(_u17261, _u17262)), _u17263)), hAPP(hAPP(c_List_Omap(tc_prod(_u17261, _u17262), _u17262), c_Product__Type_Osnd(_u17261, _u17262)), _u17263)) = _u17263) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_plus__code__numeral__code ( axiom ) converted to clauses:
% 20.36/20.58 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, _u17264)), hAPP(c_Code__Numeral_Oof__nat, _u17265)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17264), _u17265))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_less__eq__code__numeral__code ( axiom ) converted to clauses:
% 20.36/20.58 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, _u17268)), hAPP(c_Code__Numeral_Oof__nat, _u17270))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17268), _u17270)) )).
% 20.36/20.58 cnf(fact_less__eq__code__numeral__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17269), _u17271)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u17269)), hAPP(c_Code__Numeral_Oof__nat, _u17271))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_subtract__code__numeral__code ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_subtract__code__numeral__code-1, axiom, ( ( hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, hAPP(c_Code__Numeral_Oof__nat, _u17272)), hAPP(c_Code__Numeral_Oof__nat, _u17273)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17272), _u17273))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_pick__member ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_pick__member-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u17274), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17275), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u17275)), _u17276)))) | hBOOL(hAPP(hAPP(c_member(_u17275), hAPP(c_Random_Opick(_u17275, _u17276), _u17274)), hAPP(c_List_Oset(_u17275), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17275), _u17275), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u17275)), _u17276)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_zip__eq__conv ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_zip__eq__conv-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17277)), _u17278) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17279)), _u17280)) | ( hAPP(hAPP(c_List_Ozip(_u17277, _u17279), _u17278), _u17280) != _u17281) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17277, _u17279), _u17277), c_Product__Type_Ofst(_u17277, _u17279)), _u17281) = _u17278) )).
% 20.36/20.58 cnf(fact_zip__eq__conv-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17277)), _u17278) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17279)), _u17280)) | ( hAPP(hAPP(c_List_Ozip(_u17277, _u17279), _u17278), _u17280) != _u17281) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17277, _u17279), _u17279), c_Product__Type_Osnd(_u17277, _u17279)), _u17281) = _u17280) )).
% 20.36/20.58 cnf(fact_zip__eq__conv-3, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17277)), _u17278) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17279)), _u17280)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17277, _u17279), _u17277), c_Product__Type_Ofst(_u17277, _u17279)), _u17281) != _u17278) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17277, _u17279), _u17279), c_Product__Type_Osnd(_u17277, _u17279)), _u17281) != _u17280) | ( hAPP(hAPP(c_List_Ozip(_u17277, _u17279), _u17278), _u17280) = _u17281) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_list__size__conv__listsum ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_list__size__conv__listsum-1, axiom, ( ( c_List_Olist_Olist__size(_u17282, _u17283, _u17284) = 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(_u17282, tc_Nat_Onat), _u17283), _u17284))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17282)), _u17284))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_code__numeral__not__eq__zero ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_code__numeral__not__eq__zero-1, axiom, ( ( _u17286 = 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)), _u17286)) )).
% 20.36/20.58 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)), _u17287)) | ( _u17287 != hAPP(c_Code__Numeral_Oof__nat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_interv__listsum__conv__setsum__set__int ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_interv__listsum__conv__setsum__set__int-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u17288) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17288), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u17288), _u17289), c_List_Oupto(_u17290, _u17291))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u17288), _u17289), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u17290, _u17291)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_setsum__set__upto__conv__listsum__int ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_setsum__set__upto__conv__listsum__int-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u17292) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u17292), _u17293), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u17294, _u17295))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u17292), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u17292), _u17293), c_List_Oupto(_u17294, _u17295)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_select__weight__member ( axiom ) converted to clauses:
% 20.36/20.58 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, _u17296), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u17296)), _u17297)))) | hBOOL(hAPP(hAPP(c_member(_u17296), hAPP(c_Product__Type_Ofst(_u17296, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect__weight(_u17296, _u17297), _u17298))), hAPP(c_List_Oset(_u17296), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17296), _u17296), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u17296)), _u17297)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_select__weight__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_select__weight__def-1, axiom, ( ( c_Random_Oselect__weight(_u17299, _u17300) = 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(_u17299, 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, _u17299), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u17299)), _u17300)))), hAPP(hAPP(c_COMBB(_u17299, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u17299, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u17299, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random_Opick(_u17299, _u17300)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_select__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_select__def-1, axiom, ( ( c_Random_Oselect(_u17301, _u17302) = 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(_u17301, 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(_u17301)), _u17302)))), hAPP(hAPP(c_COMBB(_u17301, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u17301, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u17301, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u17301, tc_Code__Numeral_Ocode__numeral), hAPP(c_List_Onth(_u17301), _u17302)), c_Code__Numeral_Onat__of)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_listsum__mono ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_listsum__mono-1, axiom, ( ~class_Groups_Omonoid__add(_u17304) | ~class_Groups_Oordered__ab__semigroup__add(_u17304) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17304), hAPP(c_List_Omonoid__add__class_Olistsum(_u17304), hAPP(hAPP(c_List_Omap(_u17305, _u17304), _u17307), _u17306))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17304), hAPP(hAPP(c_List_Omap(_u17305, _u17304), _u17308), _u17306)))) | hBOOL(hAPP(hAPP(c_member(_u17305), skolem439(_u17308, _u17307, _u17306, _u17305, _u17304)), hAPP(c_List_Oset(_u17305), _u17306))) )).
% 20.36/20.58 cnf(fact_listsum__mono-2, axiom, ( ~class_Groups_Omonoid__add(_u17304) | ~class_Groups_Oordered__ab__semigroup__add(_u17304) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17304), hAPP(c_List_Omonoid__add__class_Olistsum(_u17304), hAPP(hAPP(c_List_Omap(_u17305, _u17304), _u17307), _u17306))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17304), hAPP(hAPP(c_List_Omap(_u17305, _u17304), _u17308), _u17306)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17304), hAPP(_u17307, skolem439(_u17308, _u17307, _u17306, _u17305, _u17304))), hAPP(_u17308, skolem439(_u17308, _u17307, _u17306, _u17305, _u17304)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_nat__of__inverse ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_nat__of__inverse-1, axiom, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u17309)) = _u17309) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_of__nat__nat__of ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_of__nat__nat__of-1, axiom, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u17310)) = _u17310) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_nat__of__of__nat ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_nat__of__of__nat-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, hAPP(c_Code__Numeral_Oof__nat, _u17311)) = _u17311) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_times__code__numeral__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_times__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral), _u17312), _u17313) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17312)), hAPP(c_Code__Numeral_Onat__of, _u17313)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_Code__Numeral_Onat__of__inject ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_Code__Numeral_Onat__of__inject-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, _u17316) != hAPP(c_Code__Numeral_Onat__of, _u17318)) | ( _u17316 = _u17318) )).
% 20.36/20.58 cnf(fact_Code__Numeral_Onat__of__inject-2, axiom, ( ( _u17317 != _u17319) | ( hAPP(c_Code__Numeral_Onat__of, _u17317) = hAPP(c_Code__Numeral_Onat__of, _u17319)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_code__numeral_Onat__of__inject ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_code__numeral_Onat__of__inject-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, _u17322) != hAPP(c_Code__Numeral_Onat__of, _u17324)) | ( _u17322 = _u17324) )).
% 20.36/20.58 cnf(fact_code__numeral_Onat__of__inject-2, axiom, ( ( _u17323 != _u17325) | ( hAPP(c_Code__Numeral_Onat__of, _u17323) = hAPP(c_Code__Numeral_Onat__of, _u17325)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_type__definition__code__numeral ( axiom ) converted to clauses:
% 20.36/20.58 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))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_less__code__numeral__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_less__code__numeral__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u17328), _u17330)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17328)), hAPP(c_Code__Numeral_Onat__of, _u17330))) )).
% 20.36/20.58 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, _u17329)), hAPP(c_Code__Numeral_Onat__of, _u17331))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u17329), _u17331)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_nat__of ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_nat__of-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17332)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_nat__of__number ( axiom ) converted to clauses:
% 20.36/20.58 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), _u17333)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17333)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_int__of__def ( axiom ) converted to clauses:
% 20.36/20.58 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)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_less__eq__code__numeral__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_less__eq__code__numeral__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u17336), _u17338)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17336)), hAPP(c_Code__Numeral_Onat__of, _u17338))) )).
% 20.36/20.58 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, _u17337)), hAPP(c_Code__Numeral_Onat__of, _u17339))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u17337), _u17339)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_nat__of__code ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_nat__of__code-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, _u17340) = c_Code__Numeral_Onat__of__aux(_u17340, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_nat__of__aux__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_nat__of__aux__def-1, axiom, ( ( c_Code__Numeral_Onat__of__aux(_u17341, _u17342) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17341)), _u17342)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_Suc__code__numeral__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_Suc__code__numeral__def-1, axiom, ( ( c_Code__Numeral_OSuc__code__numeral(_u17343) = hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Nat_OSuc, hAPP(c_Code__Numeral_Onat__of, _u17343)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_minus__code__numeral__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_minus__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u17344), _u17345) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17344)), hAPP(c_Code__Numeral_Onat__of, _u17345)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_of__nat__inverse ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_of__nat__inverse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17346), 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, _u17346)) = _u17346) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_plus__code__numeral__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_plus__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u17347), _u17348) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17347)), hAPP(c_Code__Numeral_Onat__of, _u17348)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_div__code__numeral__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_div__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u17349), _u17350) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17349)), hAPP(c_Code__Numeral_Onat__of, _u17350)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_mod__code__numeral__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_mod__code__numeral__def-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u17351, _u17352) = hAPP(c_Code__Numeral_Oof__nat, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Code__Numeral_Onat__of, _u17351), hAPP(c_Code__Numeral_Onat__of, _u17352)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_code__numeral__decr ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_code__numeral__decr-1, axiom, ( ( _u17353 = 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, _u17353)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_Code__Numeral_Onat__of, _u17353))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_New__DSequence_Opos__not__seq__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_New__DSequence_Opos__not__seq__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__not__seq(_u17354), _u17355) = c_Lazy__Sequence_Ohb__not__seq(hAPP(_u17354, 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)))), _u17355)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_partition__set ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_partition__set-1, axiom, ( ( c_List_Opartition(_u17356, _u17357, _u17358) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17356), tc_List_Olist(_u17356)), _u17359), _u17360)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17356, tc_HOL_Obool)), hAPP(c_List_Oset(_u17356), _u17359)), hAPP(c_List_Oset(_u17356), _u17360)) = hAPP(c_List_Oset(_u17356), _u17358)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_partition__P ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_partition__P-1, axiom, ( ( c_List_Opartition(_u17363, _u17364, _u17365) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17363), tc_List_Olist(_u17363)), _u17366), _u17367)) | ~hBOOL(hAPP(hAPP(c_member(_u17363), _u17361), hAPP(c_List_Oset(_u17363), _u17366))) | hBOOL(hAPP(_u17364, _u17361)) )).
% 20.36/20.58 cnf(fact_partition__P-2, axiom, ( ( c_List_Opartition(_u17363, _u17364, _u17365) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17363), tc_List_Olist(_u17363)), _u17366), _u17367)) | ~hBOOL(hAPP(hAPP(c_member(_u17363), _u17362), hAPP(c_List_Oset(_u17363), _u17367))) | ~hBOOL(hAPP(_u17364, _u17362)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_partition_Osimps_I1_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_partition_Osimps_I1_J-1, axiom, ( ( c_List_Opartition(_u17368, _u17369, c_List_Olist_ONil(_u17368)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17368), tc_List_Olist(_u17368)), c_List_Olist_ONil(_u17368)), c_List_Olist_ONil(_u17368))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_partition_Osimps_I2_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_partition_Osimps_I2_J-1, axiom, ( ( c_List_Opartition(_u17370, _u17371, hAPP(hAPP(c_List_Olist_OCons(_u17370), _u17372), _u17373)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17370), tc_List_Olist(_u17370), tc_prod(tc_List_Olist(_u17370), tc_List_Olist(_u17370))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17370), tc_fun(tc_List_Olist(_u17370), tc_prod(tc_List_Olist(_u17370), tc_List_Olist(_u17370))), tc_fun(tc_List_Olist(_u17370), tc_prod(tc_List_Olist(_u17370), tc_List_Olist(_u17370)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17370), tc_fun(tc_prod(tc_List_Olist(_u17370), tc_List_Olist(_u17370)), tc_prod(tc_List_Olist(_u17370), tc_List_Olist(_u17370)))), tc_fun(tc_fun(tc_List_Olist(_u17370), tc_prod(tc_List_Olist(_u17370), tc_List_Olist(_u17370))), tc_fun(tc_List_Olist(_u17370), tc_prod(tc_List_Olist(_u17370), tc_List_Olist(_u17370)))), tc_List_Olist(_u17370)), c_COMBS(tc_List_Olist(_u17370), tc_prod(tc_List_Olist(_u17370), tc_List_Olist(_u17370)), tc_prod(tc_List_Olist(_u17370), tc_List_Olist(_u17370)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17370), tc_prod(tc_List_Olist(_u17370), tc_List_Olist(_u17370))), tc_fun(tc_List_Olist(_u17370), tc_fun(tc_prod(tc_List_Olist(_u17370), tc_List_Olist(_u17370)), tc_prod(tc_List_Olist(_u17370), tc_List_Olist(_u17370)))), tc_List_Olist(_u17370)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u17370), tc_List_Olist(_u17370)), tc_fun(tc_prod(tc_List_Olist(_u17370), tc_List_Olist(_u17370)), tc_prod(tc_List_Olist(_u17370), tc_List_Olist(_u17370))), tc_List_Olist(_u17370)), hAPP(c_If(tc_prod(tc_List_Olist(_u17370), tc_List_Olist(_u17370))), hAPP(_u17371, _u17372)))), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17370), tc_fun(tc_List_Olist(_u17370), tc_prod(tc_List_Olist(_u17370), tc_List_Olist(_u17370))), tc_List_Olist(_u17370)), c_Product__Type_OPair(tc_List_Olist(_u17370), tc_List_Olist(_u17370))), hAPP(c_List_Olist_OCons(_u17370), _u17372))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17370), tc_fun(tc_List_Olist(_u17370), tc_List_Olist(_u17370)), tc_fun(tc_List_Olist(_u17370), tc_prod(tc_List_Olist(_u17370), tc_List_Olist(_u17370)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17370), tc_prod(tc_List_Olist(_u17370), tc_List_Olist(_u17370))), tc_fun(tc_fun(tc_List_Olist(_u17370), tc_List_Olist(_u17370)), tc_fun(tc_List_Olist(_u17370), tc_prod(tc_List_Olist(_u17370), tc_List_Olist(_u17370)))), tc_List_Olist(_u17370)), c_COMBB(tc_List_Olist(_u17370), tc_prod(tc_List_Olist(_u17370), tc_List_Olist(_u17370)), tc_List_Olist(_u17370))), c_Product__Type_OPair(tc_List_Olist(_u17370), tc_List_Olist(_u17370)))), hAPP(c_List_Olist_OCons(_u17370), _u17372)))), c_List_Opartition(_u17370, _u17371, _u17373))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_lists__IntI ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_lists__IntI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17374)), _u17375), c_List_Olists(_u17374, _u17376))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17374)), _u17375), c_List_Olists(_u17374, _u17377))) | hBOOL(hAPP(c_List_Olistsp(_u17374, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17374, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u17374, tc_fun(_u17374, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17374)), _u17376)), hAPP(hAPP(c_COMBC(_u17374, tc_fun(_u17374, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17374)), _u17377))), _u17375)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_lists__Int__eq ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_lists__Int__eq-1, axiom, ( ( c_List_Olistsp(_u17378, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17378, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u17378, tc_fun(_u17378, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17378)), _u17379)), hAPP(hAPP(c_COMBC(_u17378, tc_fun(_u17378, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17378)), _u17380))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(_u17378), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17378), tc_fun(tc_List_Olist(_u17378), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u17378))), c_List_Olists(_u17378, _u17379))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17378), tc_fun(tc_List_Olist(_u17378), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u17378))), c_List_Olists(_u17378, _u17380)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_listsp_ONil ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_listsp_ONil-1, axiom, ( hBOOL(hAPP(c_List_Olistsp(_u17381, _u17382), c_List_Olist_ONil(_u17381))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_listsp_Oequations_I1_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_listsp_Oequations_I1_J-1, axiom, ( hBOOL(hAPP(c_List_Olistsp(_u17383, _u17384), c_List_Olist_ONil(_u17383))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_in__listsp__conv__set ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_in__listsp__conv__set-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17390, _u17392), _u17394)) | ~hBOOL(hAPP(hAPP(c_member(_u17390), _u17385), hAPP(c_List_Oset(_u17390), _u17394))) | hBOOL(hAPP(_u17392, _u17385)) )).
% 20.36/20.58 cnf(fact_in__listsp__conv__set-2, axiom, ( hBOOL(hAPP(c_List_Olistsp(_u17391, _u17393), _u17395)) | hBOOL(hAPP(hAPP(c_member(_u17391), skolem440(_u17395, _u17393, _u17391)), hAPP(c_List_Oset(_u17391), _u17395))) )).
% 20.36/20.58 cnf(fact_in__listsp__conv__set-3, axiom, ( hBOOL(hAPP(c_List_Olistsp(_u17391, _u17393), _u17395)) | ~hBOOL(hAPP(_u17393, skolem440(_u17395, _u17393, _u17391))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_listsp__conj__eq ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_listsp__conj__eq-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17400, hAPP(hAPP(c_COMBS(_u17400, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17400), c_fconj), _u17402)), _u17404)), _u17406)) | hBOOL(hAPP(c_List_Olistsp(_u17400, _u17402), _u17406)) )).
% 20.36/20.58 cnf(fact_listsp__conj__eq-2, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17400, hAPP(hAPP(c_COMBS(_u17400, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17400), c_fconj), _u17402)), _u17404)), _u17406)) | hBOOL(hAPP(c_List_Olistsp(_u17400, _u17404), _u17406)) )).
% 20.36/20.58 cnf(fact_listsp__conj__eq-3, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17401, _u17403), _u17407)) | ~hBOOL(hAPP(c_List_Olistsp(_u17401, _u17405), _u17407)) | hBOOL(hAPP(c_List_Olistsp(_u17401, hAPP(hAPP(c_COMBS(_u17401, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17401), c_fconj), _u17403)), _u17405)), _u17407)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_listsp__inf__eq ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_listsp__inf__eq-1, axiom, ( ( c_List_Olistsp(_u17408, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17408, tc_HOL_Obool)), _u17409), _u17410)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(_u17408), tc_HOL_Obool)), c_List_Olistsp(_u17408, _u17409)), c_List_Olistsp(_u17408, _u17410))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_listsp__infI ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_listsp__infI-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17411, _u17412), _u17413)) | ~hBOOL(hAPP(c_List_Olistsp(_u17411, _u17414), _u17413)) | hBOOL(hAPP(c_List_Olistsp(_u17411, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17411, tc_HOL_Obool)), _u17412), _u17414)), _u17413)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_listsp_Oequations_I2_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_listsp_Oequations_I2_J-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17419, _u17421), hAPP(hAPP(c_List_Olist_OCons(_u17419), _u17423), _u17425))) | hBOOL(hAPP(_u17421, _u17423)) )).
% 20.36/20.58 cnf(fact_listsp_Oequations_I2_J-2, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17419, _u17421), hAPP(hAPP(c_List_Olist_OCons(_u17419), _u17423), _u17425))) | hBOOL(hAPP(c_List_Olistsp(_u17419, _u17421), _u17425)) )).
% 20.36/20.58 cnf(fact_listsp_Oequations_I2_J-3, axiom, ( ~hBOOL(hAPP(_u17422, _u17424)) | ~hBOOL(hAPP(c_List_Olistsp(_u17420, _u17422), _u17426)) | hBOOL(hAPP(c_List_Olistsp(_u17420, _u17422), hAPP(hAPP(c_List_Olist_OCons(_u17420), _u17424), _u17426))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_append__in__listsp__conv ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_append__in__listsp__conv-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17431, _u17433), hAPP(hAPP(c_List_Oappend(_u17431), _u17435), _u17437))) | hBOOL(hAPP(c_List_Olistsp(_u17431, _u17433), _u17435)) )).
% 20.36/20.58 cnf(fact_append__in__listsp__conv-2, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17431, _u17433), hAPP(hAPP(c_List_Oappend(_u17431), _u17435), _u17437))) | hBOOL(hAPP(c_List_Olistsp(_u17431, _u17433), _u17437)) )).
% 20.36/20.58 cnf(fact_append__in__listsp__conv-3, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17432, _u17434), _u17436)) | ~hBOOL(hAPP(c_List_Olistsp(_u17432, _u17434), _u17438)) | hBOOL(hAPP(c_List_Olistsp(_u17432, _u17434), hAPP(hAPP(c_List_Oappend(_u17432), _u17436), _u17438))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_listsp__mono ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_listsp__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17439, tc_HOL_Obool)), _u17440), _u17441)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(_u17439), tc_HOL_Obool)), c_List_Olistsp(_u17439, _u17440)), c_List_Olistsp(_u17439, _u17441))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_listsp__lists__eq ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_listsp__lists__eq-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17445, hAPP(hAPP(c_COMBC(_u17445, tc_fun(_u17445, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17445)), _u17447)), _u17449)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17445)), _u17449), c_List_Olists(_u17445, _u17447))) )).
% 20.36/20.58 cnf(fact_listsp__lists__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17446)), _u17450), c_List_Olists(_u17446, _u17448))) | hBOOL(hAPP(c_List_Olistsp(_u17446, hAPP(hAPP(c_COMBC(_u17446, tc_fun(_u17446, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17446)), _u17448)), _u17450)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_product_Osimps_I2_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_product_Osimps_I2_J-1, axiom, ( ( c_Enum_Oproduct(_u17451, _u17452, hAPP(hAPP(c_List_Olist_OCons(_u17451), _u17453), _u17454), _u17455) = hAPP(hAPP(c_List_Oappend(tc_prod(_u17451, _u17452)), hAPP(hAPP(c_List_Omap(_u17452, tc_prod(_u17451, _u17452)), hAPP(c_Product__Type_OPair(_u17451, _u17452), _u17453)), _u17455)), c_Enum_Oproduct(_u17451, _u17452, _u17454, _u17455))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_list__all2__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_list__all2__def-1, axiom, ( ~c_List_Olist__all2(_u17463, _u17465, _u17467, _u17469, _u17471) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17463)), _u17469) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17465)), _u17471)) )).
% 20.36/20.58 cnf(fact_list__all2__def-2, axiom, ( ~c_List_Olist__all2(_u17463, _u17465, _u17467, _u17469, _u17471) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17463, _u17465)), _u17456), hAPP(c_List_Oset(tc_prod(_u17463, _u17465)), hAPP(hAPP(c_List_Ozip(_u17463, _u17465), _u17469), _u17471)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u17463, _u17465, tc_HOL_Obool), _u17467), _u17456)) )).
% 20.36/20.58 cnf(fact_list__all2__def-3, axiom, ( c_List_Olist__all2(_u17464, _u17466, _u17468, _u17470, _u17472) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17464)), _u17470) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17466)), _u17472)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17464, _u17466)), skolem441(_u17472, _u17470, _u17468, _u17466, _u17464)), hAPP(c_List_Oset(tc_prod(_u17464, _u17466)), hAPP(hAPP(c_List_Ozip(_u17464, _u17466), _u17470), _u17472)))) )).
% 20.36/20.58 cnf(fact_list__all2__def-4, axiom, ( c_List_Olist__all2(_u17464, _u17466, _u17468, _u17470, _u17472) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17464)), _u17470) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17466)), _u17472)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u17464, _u17466, tc_HOL_Obool), _u17468), skolem441(_u17472, _u17470, _u17468, _u17466, _u17464))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_list__all2__map2 ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_list__all2__map2-1, axiom, ( ~c_List_Olist__all2(_u17480, _u17482, _u17484, _u17486, hAPP(hAPP(c_List_Omap(_u17488, _u17482), _u17490), _u17492)) | c_List_Olist__all2(_u17480, _u17488, hAPP(hAPP(c_COMBC(_u17480, tc_fun(_u17488, _u17482), tc_fun(_u17488, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17482, tc_HOL_Obool), tc_fun(tc_fun(_u17488, _u17482), tc_fun(_u17488, tc_HOL_Obool)), _u17480), c_COMBB(_u17482, tc_HOL_Obool, _u17488)), _u17484)), _u17490), _u17486, _u17492) )).
% 20.36/20.58 cnf(fact_list__all2__map2-2, axiom, ( ~c_List_Olist__all2(_u17481, _u17489, hAPP(hAPP(c_COMBC(_u17481, tc_fun(_u17489, _u17483), tc_fun(_u17489, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17483, tc_HOL_Obool), tc_fun(tc_fun(_u17489, _u17483), tc_fun(_u17489, tc_HOL_Obool)), _u17481), c_COMBB(_u17483, tc_HOL_Obool, _u17489)), _u17485)), _u17491), _u17487, _u17493) | c_List_Olist__all2(_u17481, _u17483, _u17485, _u17487, hAPP(hAPP(c_List_Omap(_u17489, _u17483), _u17491), _u17493)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_list__all2__map1 ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_list__all2__map1-1, axiom, ( ~c_List_Olist__all2(_u17501, _u17503, _u17505, hAPP(hAPP(c_List_Omap(_u17507, _u17501), _u17509), _u17511), _u17513) | c_List_Olist__all2(_u17507, _u17503, hAPP(hAPP(c_COMBB(_u17501, tc_fun(_u17503, tc_HOL_Obool), _u17507), _u17505), _u17509), _u17511, _u17513) )).
% 20.36/20.58 cnf(fact_list__all2__map1-2, axiom, ( ~c_List_Olist__all2(_u17508, _u17504, hAPP(hAPP(c_COMBB(_u17502, tc_fun(_u17504, tc_HOL_Obool), _u17508), _u17506), _u17510), _u17512, _u17514) | c_List_Olist__all2(_u17502, _u17504, _u17506, hAPP(hAPP(c_List_Omap(_u17508, _u17502), _u17510), _u17512), _u17514) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_list__all2__dropI ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_list__all2__dropI-1, axiom, ( ~c_List_Olist__all2(_u17515, _u17516, _u17517, _u17518, _u17519) | c_List_Olist__all2(_u17515, _u17516, _u17517, hAPP(hAPP(c_List_Odrop(_u17515), _u17520), _u17518), hAPP(hAPP(c_List_Odrop(_u17516), _u17520), _u17519)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_list__all2__appendI ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_list__all2__appendI-1, axiom, ( ~c_List_Olist__all2(_u17521, _u17522, _u17523, _u17524, _u17525) | ~c_List_Olist__all2(_u17521, _u17522, _u17523, _u17526, _u17527) | c_List_Olist__all2(_u17521, _u17522, _u17523, hAPP(hAPP(c_List_Oappend(_u17521), _u17524), _u17526), hAPP(hAPP(c_List_Oappend(_u17522), _u17525), _u17527)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_list__all2__append ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_list__all2__append-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17528)), _u17529) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17530)), _u17531)) | ~c_List_Olist__all2(_u17528, _u17530, _u17532, hAPP(hAPP(c_List_Oappend(_u17528), _u17529), _u17533), hAPP(hAPP(c_List_Oappend(_u17530), _u17531), _u17534)) | c_List_Olist__all2(_u17528, _u17530, _u17532, _u17529, _u17531) )).
% 20.36/20.58 cnf(fact_list__all2__append-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17528)), _u17529) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17530)), _u17531)) | ~c_List_Olist__all2(_u17528, _u17530, _u17532, hAPP(hAPP(c_List_Oappend(_u17528), _u17529), _u17533), hAPP(hAPP(c_List_Oappend(_u17530), _u17531), _u17534)) | c_List_Olist__all2(_u17528, _u17530, _u17532, _u17533, _u17534) )).
% 20.36/20.58 cnf(fact_list__all2__append-3, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17528)), _u17529) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17530)), _u17531)) | ~c_List_Olist__all2(_u17528, _u17530, _u17532, _u17529, _u17531) | ~c_List_Olist__all2(_u17528, _u17530, _u17532, _u17533, _u17534) | c_List_Olist__all2(_u17528, _u17530, _u17532, hAPP(hAPP(c_List_Oappend(_u17528), _u17529), _u17533), hAPP(hAPP(c_List_Oappend(_u17530), _u17531), _u17534)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_list__all2__Cons ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_list__all2__Cons-1, axiom, ( ~c_List_Olist__all2(_u17542, _u17544, _u17546, hAPP(hAPP(c_List_Olist_OCons(_u17542), _u17548), _u17550), hAPP(hAPP(c_List_Olist_OCons(_u17544), _u17552), _u17554)) | hBOOL(hAPP(hAPP(_u17546, _u17548), _u17552)) )).
% 20.36/20.58 cnf(fact_list__all2__Cons-2, axiom, ( ~c_List_Olist__all2(_u17542, _u17544, _u17546, hAPP(hAPP(c_List_Olist_OCons(_u17542), _u17548), _u17550), hAPP(hAPP(c_List_Olist_OCons(_u17544), _u17552), _u17554)) | c_List_Olist__all2(_u17542, _u17544, _u17546, _u17550, _u17554) )).
% 20.36/20.58 cnf(fact_list__all2__Cons-3, axiom, ( ~hBOOL(hAPP(hAPP(_u17547, _u17549), _u17553)) | ~c_List_Olist__all2(_u17543, _u17545, _u17547, _u17551, _u17555) | c_List_Olist__all2(_u17543, _u17545, _u17547, hAPP(hAPP(c_List_Olist_OCons(_u17543), _u17549), _u17551), hAPP(hAPP(c_List_Olist_OCons(_u17545), _u17553), _u17555)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_list__all2__takeI ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_list__all2__takeI-1, axiom, ( ~c_List_Olist__all2(_u17556, _u17557, _u17558, _u17559, _u17560) | c_List_Olist__all2(_u17556, _u17557, _u17558, hAPP(hAPP(c_List_Otake(_u17556), _u17561), _u17559), hAPP(hAPP(c_List_Otake(_u17557), _u17561), _u17560)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_list__all2__eq ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_list__all2__eq-1, axiom, ( ( _u17565 != _u17567) | c_List_Olist__all2(_u17569, _u17569, c_fequal, _u17565, _u17567) )).
% 20.36/20.58 cnf(fact_list__all2__eq-2, axiom, ( ~c_List_Olist__all2(_u17570, _u17570, c_fequal, _u17566, _u17568) | ( _u17566 = _u17568) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_list__all2__lengthD ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_list__all2__lengthD-1, axiom, ( ~c_List_Olist__all2(_u17571, _u17572, _u17573, _u17574, _u17575) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17571)), _u17574) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17572)), _u17575)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_list__all2__Nil ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_list__all2__Nil-1, axiom, ( ( _u17586 = c_List_Olist_ONil(_u17582)) | ~c_List_Olist__all2(_u17580, _u17582, _u17584, c_List_Olist_ONil(_u17580), _u17586) )).
% 20.36/20.58 cnf(fact_list__all2__Nil-2, axiom, ( ( _u17587 != c_List_Olist_ONil(_u17583)) | c_List_Olist__all2(_u17581, _u17583, _u17585, c_List_Olist_ONil(_u17581), _u17587) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_list__all2__Nil2 ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_list__all2__Nil2-1, axiom, ( ~c_List_Olist__all2(_u17592, _u17594, _u17596, _u17598, c_List_Olist_ONil(_u17594)) | ( _u17598 = c_List_Olist_ONil(_u17592)) )).
% 20.36/20.58 cnf(fact_list__all2__Nil2-2, axiom, ( ( _u17599 != c_List_Olist_ONil(_u17593)) | c_List_Olist__all2(_u17593, _u17595, _u17597, _u17599, c_List_Olist_ONil(_u17595)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_product_Osimps_I1_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_product_Osimps_I1_J-1, axiom, ( ( c_Enum_Oproduct(_u17600, _u17601, c_List_Olist_ONil(_u17600), _u17602) = c_List_Olist_ONil(tc_prod(_u17600, _u17601))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_list__all2__conv__all__nth ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_list__all2__conv__all__nth-1, axiom, ( ~c_List_Olist__all2(_u17610, _u17612, _u17614, _u17616, _u17618) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17610)), _u17616) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17612)), _u17618)) )).
% 20.36/20.58 cnf(fact_list__all2__conv__all__nth-2, axiom, ( ~c_List_Olist__all2(_u17610, _u17612, _u17614, _u17616, _u17618) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17603), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17610)), _u17616))) | hBOOL(hAPP(hAPP(_u17614, hAPP(hAPP(c_List_Onth(_u17610), _u17616), _u17603)), hAPP(hAPP(c_List_Onth(_u17612), _u17618), _u17603))) )).
% 20.36/20.58 cnf(fact_list__all2__conv__all__nth-3, axiom, ( c_List_Olist__all2(_u17611, _u17613, _u17615, _u17617, _u17619) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17611)), _u17617) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17613)), _u17619)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem442(_u17619, _u17617, _u17615, _u17613, _u17611)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17611)), _u17617))) )).
% 20.36/20.58 cnf(fact_list__all2__conv__all__nth-4, axiom, ( c_List_Olist__all2(_u17611, _u17613, _u17615, _u17617, _u17619) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17611)), _u17617) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17613)), _u17619)) | ~hBOOL(hAPP(hAPP(_u17615, hAPP(hAPP(c_List_Onth(_u17611), _u17617), skolem442(_u17619, _u17617, _u17615, _u17613, _u17611))), hAPP(hAPP(c_List_Onth(_u17613), _u17619), skolem442(_u17619, _u17617, _u17615, _u17613, _u17611)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_list__all2__nthD ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_list__all2__nthD-1, axiom, ( ~c_List_Olist__all2(_u17620, _u17621, _u17622, _u17623, _u17624) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17625), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17620)), _u17623))) | hBOOL(hAPP(hAPP(_u17622, hAPP(hAPP(c_List_Onth(_u17620), _u17623), _u17625)), hAPP(hAPP(c_List_Onth(_u17621), _u17624), _u17625))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_list__all2__nthD2 ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_list__all2__nthD2-1, axiom, ( ~c_List_Olist__all2(_u17626, _u17627, _u17628, _u17629, _u17630) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17631), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17627)), _u17630))) | hBOOL(hAPP(hAPP(_u17628, hAPP(hAPP(c_List_Onth(_u17626), _u17629), _u17631)), hAPP(hAPP(c_List_Onth(_u17627), _u17630), _u17631))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_list__all2__update__cong ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_list__all2__update__cong-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17632), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17633)), _u17634))) | ~c_List_Olist__all2(_u17633, _u17635, _u17636, _u17634, _u17637) | ~hBOOL(hAPP(hAPP(_u17636, _u17638), _u17639)) | c_List_Olist__all2(_u17633, _u17635, _u17636, hAPP(hAPP(c_List_Olist__update(_u17633, _u17634), _u17632), _u17638), hAPP(hAPP(c_List_Olist__update(_u17635, _u17637), _u17632), _u17639)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_list__all2__update__cong2 ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_list__all2__update__cong2-1, axiom, ( ~c_List_Olist__all2(_u17640, _u17641, _u17642, _u17643, _u17644) | ~hBOOL(hAPP(hAPP(_u17642, _u17645), _u17646)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17647), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17641)), _u17644))) | c_List_Olist__all2(_u17640, _u17641, _u17642, hAPP(hAPP(c_List_Olist__update(_u17640, _u17643), _u17647), _u17645), hAPP(hAPP(c_List_Olist__update(_u17641, _u17644), _u17647), _u17646)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_distinct__product ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_distinct__product-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17648), _u17649)) | ~hBOOL(hAPP(c_List_Odistinct(_u17650), _u17651)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u17648, _u17650)), c_Enum_Oproduct(_u17648, _u17650, _u17649, _u17651))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_product__list__set ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_product__list__set-1, axiom, ( ( hAPP(c_List_Oset(tc_prod(_u17652, _u17653)), c_Enum_Oproduct(_u17652, _u17653, _u17654, _u17655)) = hAPP(hAPP(c_Product__Type_OSigma(_u17652, _u17653), hAPP(c_List_Oset(_u17652), _u17654)), hAPP(c_COMBK(tc_fun(_u17653, tc_HOL_Obool), _u17652), hAPP(c_List_Oset(_u17653), _u17655)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sublists__powset ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sublists__powset-1, axiom, ( ( hAPP(c_Set_Oimage(tc_List_Olist(_u17656), tc_fun(_u17656, tc_HOL_Obool), c_List_Oset(_u17656)), hAPP(c_List_Oset(tc_List_Olist(_u17656)), c_Enum_Osublists(_u17656, _u17657))) = hAPP(c_Set_OPow(_u17656), hAPP(c_List_Oset(_u17656), _u17657))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_length__sublists ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_length__sublists-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17658))), c_Enum_Osublists(_u17658, _u17659)) = 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(_u17658)), _u17659))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sublists_Osimps_I1_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sublists_Osimps_I1_J-1, axiom, ( ( c_Enum_Osublists(_u17660, c_List_Olist_ONil(_u17660)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17660)), c_List_Olist_ONil(_u17660)), c_List_Olist_ONil(tc_List_Olist(_u17660)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sublists_Osimps_I2_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sublists_Osimps_I2_J-1, axiom, ( ( c_Enum_Osublists(_u17661, hAPP(hAPP(c_List_Olist_OCons(_u17661), _u17662), _u17663)) = hAPP(hAPP(c_HOL_OLet(tc_List_Olist(tc_List_Olist(_u17661)), tc_List_Olist(tc_List_Olist(_u17661))), c_Enum_Osublists(_u17661, _u17663)), hAPP(hAPP(c_COMBS(tc_List_Olist(tc_List_Olist(_u17661)), tc_List_Olist(tc_List_Olist(_u17661)), tc_List_Olist(tc_List_Olist(_u17661))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_List_Olist(_u17661)), tc_fun(tc_List_Olist(tc_List_Olist(_u17661)), tc_List_Olist(tc_List_Olist(_u17661))), tc_List_Olist(tc_List_Olist(_u17661))), c_List_Oappend(tc_List_Olist(_u17661))), hAPP(c_List_Omap(tc_List_Olist(_u17661), tc_List_Olist(_u17661)), hAPP(c_List_Olist_OCons(_u17661), _u17662)))), c_COMBI(tc_List_Olist(tc_List_Olist(_u17661)))))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_distinct__set__sublists ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_distinct__set__sublists-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17664), _u17665)) | hBOOL(hAPP(c_List_Odistinct(tc_fun(_u17664, tc_HOL_Obool)), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17664), tc_fun(_u17664, tc_HOL_Obool)), c_List_Oset(_u17664)), c_Enum_Osublists(_u17664, _u17665)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_set__n__lists ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_set__n__lists-1, axiom, ( ( hAPP(c_List_Oset(tc_List_Olist(_u17666)), c_Enum_On__lists(_u17666, _u17667, _u17668)) = hAPP(c_Set_OCollect(tc_List_Olist(_u17666)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17666), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u17666)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17666), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17666)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17666)))), _u17667))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17666), tc_fun(_u17666, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u17666, tc_HOL_Obool), tc_fun(tc_fun(_u17666, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u17666)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u17666, tc_HOL_Obool))), c_List_Oset(_u17666))), hAPP(c_List_Oset(_u17666), _u17668))))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_enum__the__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_enum__the__def-1, axiom, ( ( c_Enum_Oenum__the(_u17669, _u17670) = c_HOL_OThe(_u17669, _u17670)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_distinct__n__lists ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_distinct__n__lists-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17671), _u17672)) | hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u17671)), c_Enum_On__lists(_u17671, _u17673, _u17672))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_n__lists__Nil ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_n__lists__Nil-1, axiom, ( ( _u17676 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Enum_On__lists(_u17678, _u17676, c_List_Olist_ONil(_u17678)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17678)), c_List_Olist_ONil(_u17678)), c_List_Olist_ONil(tc_List_Olist(_u17678)))) )).
% 20.36/20.58 cnf(fact_n__lists__Nil-2, axiom, ( ( _u17677 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Enum_On__lists(_u17679, _u17677, c_List_Olist_ONil(_u17679)) = c_List_Olist_ONil(tc_List_Olist(_u17679))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_n__lists_Osimps_I1_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_n__lists_Osimps_I1_J-1, axiom, ( ( c_Enum_On__lists(_u17680, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u17681) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17680)), c_List_Olist_ONil(_u17680)), c_List_Olist_ONil(tc_List_Olist(_u17680)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_length__n__lists ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_length__n__lists-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17682))), c_Enum_On__lists(_u17682, _u17683, _u17684)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17682)), _u17684)), _u17683)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_length__n__lists__elem ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_length__n__lists__elem-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17685)), _u17686), hAPP(c_List_Oset(tc_List_Olist(_u17685)), c_Enum_On__lists(_u17685, _u17687, _u17688)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17685)), _u17686) = _u17687) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_list__all2I ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_list__all2I-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17690)), _u17692) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17691)), _u17693)) | c_List_Olist__all2(_u17690, _u17691, _u17694, _u17692, _u17693) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17690, _u17691)), skolem443(_u17694, _u17693, _u17692, _u17691, _u17690)), hAPP(c_List_Oset(tc_prod(_u17690, _u17691)), hAPP(hAPP(c_List_Ozip(_u17690, _u17691), _u17692), _u17693)))) )).
% 20.36/20.58 cnf(fact_list__all2I-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17690)), _u17692) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17691)), _u17693)) | c_List_Olist__all2(_u17690, _u17691, _u17694, _u17692, _u17693) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u17690, _u17691, tc_HOL_Obool), _u17694), skolem443(_u17694, _u17693, _u17692, _u17691, _u17690))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_all__nth__imp__all__set ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_all__nth__imp__all__set-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17696), _u17699), hAPP(c_List_Oset(_u17696), _u17697))) | hBOOL(hAPP(_u17698, _u17699)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem444(_u17699, _u17698, _u17697, _u17696)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17696)), _u17697))) )).
% 20.36/20.58 cnf(fact_all__nth__imp__all__set-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17696), _u17699), hAPP(c_List_Oset(_u17696), _u17697))) | hBOOL(hAPP(_u17698, _u17699)) | ~hBOOL(hAPP(_u17698, hAPP(hAPP(c_List_Onth(_u17696), _u17697), skolem444(_u17699, _u17698, _u17697, _u17696)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_fun__left__comm_Ofold__set__remdups ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_fun__left__comm_Ofold__set__remdups-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u17700, _u17701, _u17702) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u17700, _u17701, _u17702), _u17703), hAPP(c_List_Oset(_u17700), _u17704)) = hAPP(c_List_Ofoldl(_u17701, _u17700, hAPP(c_COMBC(_u17700, _u17701, _u17701), _u17702), _u17703), c_List_Oremdups(_u17700, _u17704))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_map__removeAll__inj__on ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_map__removeAll__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u17705, _u17706, _u17707, hAPP(hAPP(c_Set_Oinsert(_u17705), _u17708), hAPP(c_List_Oset(_u17705), _u17709))) | ( hAPP(hAPP(c_List_Omap(_u17705, _u17706), _u17707), hAPP(c_List_OremoveAll(_u17705, _u17708), _u17709)) = hAPP(c_List_OremoveAll(_u17706, hAPP(_u17707, _u17708)), hAPP(hAPP(c_List_Omap(_u17705, _u17706), _u17707), _u17709))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_distinct__remdups ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_distinct__remdups-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u17710), c_List_Oremdups(_u17710, _u17711))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_length__remdups__leq ( axiom ) converted to clauses:
% 20.36/20.58 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(_u17712)), c_List_Oremdups(_u17712, _u17713))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17712)), _u17713))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_distinct__remdups__id ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_distinct__remdups__id-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17714), _u17715)) | ( c_List_Oremdups(_u17714, _u17715) = _u17715) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_distinct__removeAll ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_distinct__removeAll-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17716), _u17717)) | hBOOL(hAPP(c_List_Odistinct(_u17716), hAPP(c_List_OremoveAll(_u17716, _u17718), _u17717))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_remdups__id__iff__distinct ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_remdups__id__iff__distinct-1, axiom, ( ( c_List_Oremdups(_u17721, _u17723) != _u17723) | hBOOL(hAPP(c_List_Odistinct(_u17721), _u17723)) )).
% 20.36/20.58 cnf(fact_remdups__id__iff__distinct-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17722), _u17724)) | ( c_List_Oremdups(_u17722, _u17724) = _u17724) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_set__remdups ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_set__remdups-1, axiom, ( ( hAPP(c_List_Oset(_u17725), c_List_Oremdups(_u17725, _u17726)) = hAPP(c_List_Oset(_u17725), _u17726)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_length__remdups__eq ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_length__remdups__eq-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17729)), c_List_Oremdups(_u17729, _u17731)) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17729)), _u17731)) | ( c_List_Oremdups(_u17729, _u17731) = _u17731) )).
% 20.36/20.58 cnf(fact_length__remdups__eq-2, axiom, ( ( c_List_Oremdups(_u17730, _u17732) != _u17732) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17730)), c_List_Oremdups(_u17730, _u17732)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17730)), _u17732)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_remdups__remdups ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_remdups__remdups-1, axiom, ( ( c_List_Oremdups(_u17733, c_List_Oremdups(_u17733, _u17734)) = c_List_Oremdups(_u17733, _u17734)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_remdups__eq__nil__iff ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_remdups__eq__nil__iff-1, axiom, ( ( c_List_Oremdups(_u17737, _u17739) != c_List_Olist_ONil(_u17737)) | ( _u17739 = c_List_Olist_ONil(_u17737)) )).
% 20.36/20.58 cnf(fact_remdups__eq__nil__iff-2, axiom, ( ( _u17740 != c_List_Olist_ONil(_u17738)) | ( c_List_Oremdups(_u17738, _u17740) = c_List_Olist_ONil(_u17738)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_removeAll_Osimps_I1_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_removeAll_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_OremoveAll(_u17741, _u17742), c_List_Olist_ONil(_u17741)) = c_List_Olist_ONil(_u17741)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_remdups__eq__nil__right__iff ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_remdups__eq__nil__right__iff-1, axiom, ( ( c_List_Olist_ONil(_u17745) != c_List_Oremdups(_u17745, _u17747)) | ( _u17747 = c_List_Olist_ONil(_u17745)) )).
% 20.36/20.58 cnf(fact_remdups__eq__nil__right__iff-2, axiom, ( ( _u17748 != c_List_Olist_ONil(_u17746)) | ( c_List_Olist_ONil(_u17746) = c_List_Oremdups(_u17746, _u17748)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_remdups_Osimps_I1_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_remdups_Osimps_I1_J-1, axiom, ( ( c_List_Oremdups(_u17749, c_List_Olist_ONil(_u17749)) = c_List_Olist_ONil(_u17749)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_removeAll_Osimps_I2_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_removeAll_Osimps_I2_J-1, axiom, ( ( _u17754 != _u17756) | ( hAPP(c_List_OremoveAll(_u17758, _u17754), hAPP(hAPP(c_List_Olist_OCons(_u17758), _u17756), _u17760)) = hAPP(c_List_OremoveAll(_u17758, _u17754), _u17760)) )).
% 20.36/20.58 cnf(fact_removeAll_Osimps_I2_J-2, axiom, ( ( _u17755 = _u17757) | ( hAPP(c_List_OremoveAll(_u17759, _u17755), hAPP(hAPP(c_List_Olist_OCons(_u17759), _u17757), _u17761)) = hAPP(hAPP(c_List_Olist_OCons(_u17759), _u17757), hAPP(c_List_OremoveAll(_u17759, _u17755), _u17761))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_removeAll__append ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_removeAll__append-1, axiom, ( ( hAPP(c_List_OremoveAll(_u17762, _u17763), hAPP(hAPP(c_List_Oappend(_u17762), _u17764), _u17765)) = hAPP(hAPP(c_List_Oappend(_u17762), hAPP(c_List_OremoveAll(_u17762, _u17763), _u17764)), hAPP(c_List_OremoveAll(_u17762, _u17763), _u17765))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_remdups__map__remdups ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_remdups__map__remdups-1, axiom, ( ( c_List_Oremdups(_u17766, hAPP(hAPP(c_List_Omap(_u17767, _u17766), _u17768), c_List_Oremdups(_u17767, _u17769))) = c_List_Oremdups(_u17766, hAPP(hAPP(c_List_Omap(_u17767, _u17766), _u17768), _u17769))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_remove1__remdups ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_remove1__remdups-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17770), _u17771)) | ( c_List_Oremove1(_u17770, _u17772, c_List_Oremdups(_u17770, _u17771)) = c_List_Oremdups(_u17770, c_List_Oremove1(_u17770, _u17772, _u17771))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_removeAll__id ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_removeAll__id-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17773), _u17774), hAPP(c_List_Oset(_u17773), _u17775))) | ( hAPP(c_List_OremoveAll(_u17773, _u17774), _u17775) = _u17775) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_distinct__remove1__removeAll ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_distinct__remove1__removeAll-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17776), _u17777)) | ( c_List_Oremove1(_u17776, _u17778, _u17777) = hAPP(c_List_OremoveAll(_u17776, _u17778), _u17777)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_remdups_Osimps_I2_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_remdups_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17782), _u17784), hAPP(c_List_Oset(_u17782), _u17786))) | ( c_List_Oremdups(_u17782, hAPP(hAPP(c_List_Olist_OCons(_u17782), _u17784), _u17786)) = c_List_Oremdups(_u17782, _u17786)) )).
% 20.36/20.58 cnf(fact_remdups_Osimps_I2_J-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17783), _u17785), hAPP(c_List_Oset(_u17783), _u17787))) | ( c_List_Oremdups(_u17783, hAPP(hAPP(c_List_Olist_OCons(_u17783), _u17785), _u17787)) = hAPP(hAPP(c_List_Olist_OCons(_u17783), _u17785), c_List_Oremdups(_u17783, _u17787))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_length__remdups__card__conv ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_length__remdups__card__conv-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17788)), c_List_Oremdups(_u17788, _u17789)) = hAPP(c_Finite__Set_Ocard(_u17788), hAPP(c_List_Oset(_u17788), _u17789))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_map__removeAll__inj ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_map__removeAll__inj-1, axiom, ( ~c_Fun_Oinj__on(_u17790, _u17791, _u17792, c_Orderings_Otop__class_Otop(tc_fun(_u17790, tc_HOL_Obool))) | ( hAPP(hAPP(c_List_Omap(_u17790, _u17791), _u17792), hAPP(c_List_OremoveAll(_u17790, _u17793), _u17794)) = hAPP(c_List_OremoveAll(_u17791, hAPP(_u17792, _u17793)), hAPP(hAPP(c_List_Omap(_u17790, _u17791), _u17792), _u17794))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_set__removeAll ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_set__removeAll-1, axiom, ( ( hAPP(c_List_Oset(_u17795), hAPP(c_List_OremoveAll(_u17795, _u17796), _u17797)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u17795, tc_HOL_Obool)), hAPP(c_List_Oset(_u17795), _u17797)), hAPP(hAPP(c_Set_Oinsert(_u17795), _u17796), c_Orderings_Obot__class_Obot(tc_fun(_u17795, tc_HOL_Obool))))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_length__remdups__concat ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_length__remdups__concat-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17798)), c_List_Oremdups(_u17798, c_List_Oconcat(_u17798, _u17799))) = hAPP(c_Finite__Set_Ocard(_u17798), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u17798), tc_fun(_u17798, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u17798)), _u17799)), c_List_Oset(_u17798)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sorted__list__of__set__sort__remdups ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sorted__list__of__set__sort__remdups-1, axiom, ( ~class_Orderings_Olinorder(_u17800) | ( c_List_Olinorder__class_Osorted__list__of__set(_u17800, hAPP(c_List_Oset(_u17800), _u17801)) = c_List_Olinorder__class_Osort__key(_u17800, _u17800, c_COMBI(_u17800), c_List_Oremdups(_u17800, _u17801))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sort__key__simps_I1_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sort__key__simps_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u17802) | ( c_List_Olinorder__class_Osort__key(_u17803, _u17802, _u17804, c_List_Olist_ONil(_u17803)) = c_List_Olist_ONil(_u17803)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_foldl__conv__concat ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_foldl__conv__concat-1, axiom, ( ( hAPP(c_List_Ofoldl(tc_List_Olist(_u17805), tc_List_Olist(_u17805), c_List_Oappend(_u17805), _u17806), _u17807) = hAPP(hAPP(c_List_Oappend(_u17805), _u17806), c_List_Oconcat(_u17805, _u17807))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_concat__conv__foldl ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_concat__conv__foldl-1, axiom, ( ( c_List_Oconcat(_u17808, _u17809) = hAPP(c_List_Ofoldl(tc_List_Olist(_u17808), tc_List_Olist(_u17808), c_List_Oappend(_u17808), c_List_Olist_ONil(_u17808)), _u17809)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_length__sort ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_length__sort-1, axiom, ( ~class_Orderings_Olinorder(_u17810) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17811)), c_List_Olinorder__class_Osort__key(_u17811, _u17810, _u17812, _u17813)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17811)), _u17813)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_set__sort ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_set__sort-1, axiom, ( ~class_Orderings_Olinorder(_u17814) | ( hAPP(c_List_Oset(_u17815), c_List_Olinorder__class_Osort__key(_u17815, _u17814, _u17816, _u17817)) = hAPP(c_List_Oset(_u17815), _u17817)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_distinct__sort ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_distinct__sort-1, axiom, ( ~class_Orderings_Olinorder(_u17818) | ~hBOOL(hAPP(c_List_Odistinct(_u17819), c_List_Olinorder__class_Osort__key(_u17819, _u17818, _u17820, _u17821))) | hBOOL(hAPP(c_List_Odistinct(_u17819), _u17821)) )).
% 20.36/20.58 cnf(fact_distinct__sort-2, axiom, ( ~class_Orderings_Olinorder(_u17818) | ~hBOOL(hAPP(c_List_Odistinct(_u17819), _u17821)) | hBOOL(hAPP(c_List_Odistinct(_u17819), c_List_Olinorder__class_Osort__key(_u17819, _u17818, _u17820, _u17821))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_concat_Osimps_I1_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_concat_Osimps_I1_J-1, axiom, ( ( c_List_Oconcat(_u17822, c_List_Olist_ONil(tc_List_Olist(_u17822))) = c_List_Olist_ONil(_u17822)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_concat_Osimps_I2_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_concat_Osimps_I2_J-1, axiom, ( ( c_List_Oconcat(_u17823, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17823)), _u17824), _u17825)) = hAPP(hAPP(c_List_Oappend(_u17823), _u17824), c_List_Oconcat(_u17823, _u17825))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_concat__eq__Nil__conv ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_concat__eq__Nil__conv-1, axiom, ( ( c_List_Oconcat(_u17830, _u17832) != c_List_Olist_ONil(_u17830)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17830)), _u17826), hAPP(c_List_Oset(tc_List_Olist(_u17830)), _u17832))) | ( _u17826 = c_List_Olist_ONil(_u17830)) )).
% 20.36/20.58 cnf(fact_concat__eq__Nil__conv-2, axiom, ( ( c_List_Oconcat(_u17831, _u17833) = c_List_Olist_ONil(_u17831)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17831)), skolem445(_u17833, _u17831)), hAPP(c_List_Oset(tc_List_Olist(_u17831)), _u17833))) )).
% 20.36/20.58 cnf(fact_concat__eq__Nil__conv-3, axiom, ( ( c_List_Oconcat(_u17831, _u17833) = c_List_Olist_ONil(_u17831)) | ( skolem445(_u17833, _u17831) != c_List_Olist_ONil(_u17831)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_Nil__eq__concat__conv ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_Nil__eq__concat__conv-1, axiom, ( ( c_List_Olist_ONil(_u17838) != c_List_Oconcat(_u17838, _u17840)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17838)), _u17834), hAPP(c_List_Oset(tc_List_Olist(_u17838)), _u17840))) | ( _u17834 = c_List_Olist_ONil(_u17838)) )).
% 20.36/20.58 cnf(fact_Nil__eq__concat__conv-2, axiom, ( ( c_List_Olist_ONil(_u17839) = c_List_Oconcat(_u17839, _u17841)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17839)), skolem446(_u17841, _u17839)), hAPP(c_List_Oset(tc_List_Olist(_u17839)), _u17841))) )).
% 20.36/20.58 cnf(fact_Nil__eq__concat__conv-3, axiom, ( ( c_List_Olist_ONil(_u17839) = c_List_Oconcat(_u17839, _u17841)) | ( skolem446(_u17841, _u17839) != c_List_Olist_ONil(_u17839)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_map__concat ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_map__concat-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17842, _u17843), _u17844), c_List_Oconcat(_u17842, _u17845)) = c_List_Oconcat(_u17843, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17842), tc_List_Olist(_u17843)), hAPP(c_List_Omap(_u17842, _u17843), _u17844)), _u17845))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_length__concat ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_length__concat-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17846)), c_List_Oconcat(_u17846, _u17847)) = hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17846), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u17846))), _u17847))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_set__concat ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_set__concat-1, axiom, ( ( hAPP(c_List_Oset(_u17848), c_List_Oconcat(_u17848, _u17849)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u17848), tc_fun(_u17848, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u17848)), _u17849)), c_List_Oset(_u17848))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sort__key__simps_I2_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sort__key__simps_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u17850) | ( c_List_Olinorder__class_Osort__key(_u17851, _u17850, _u17852, hAPP(hAPP(c_List_Olist_OCons(_u17851), _u17853), _u17854)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17851, _u17850, _u17852), _u17853), c_List_Olinorder__class_Osort__key(_u17851, _u17850, _u17852, _u17854))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_concat__append ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_concat__append-1, axiom, ( ( c_List_Oconcat(_u17855, hAPP(hAPP(c_List_Oappend(tc_List_Olist(_u17855)), _u17856), _u17857)) = hAPP(hAPP(c_List_Oappend(_u17855), c_List_Oconcat(_u17855, _u17856)), c_List_Oconcat(_u17855, _u17857))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sort__foldl__insort ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sort__foldl__insort-1, axiom, ( ~class_Orderings_Olinorder(_u17858) | ( c_List_Olinorder__class_Osort__key(_u17858, _u17858, c_COMBI(_u17858), _u17859) = hAPP(c_List_Ofoldl(tc_List_Olist(_u17858), _u17858, hAPP(c_COMBC(_u17858, tc_List_Olist(_u17858), tc_List_Olist(_u17858)), c_List_Olinorder__class_Oinsort__key(_u17858, _u17858, c_COMBI(_u17858))), c_List_Olist_ONil(_u17858)), _u17859)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_concat__eq__concat__iff ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_concat__eq__concat__iff-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17861), tc_List_Olist(_u17861))), skolem447(_u17863, _u17862, _u17861)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u17861), tc_List_Olist(_u17861))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u17861), tc_List_Olist(_u17861)), _u17862), _u17863)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17861))), _u17862) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17861))), _u17863)) | ( c_List_Oconcat(_u17861, _u17862) != c_List_Oconcat(_u17861, _u17863)) | ( _u17862 = _u17863) )).
% 20.36/20.58 cnf(fact_concat__eq__concat__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17861), tc_List_Olist(_u17861))), skolem447(_u17863, _u17862, _u17861)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u17861), tc_List_Olist(_u17861))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u17861), tc_List_Olist(_u17861)), _u17862), _u17863)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17861))), _u17862) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17861))), _u17863)) | ( _u17862 != _u17863) | ( c_List_Oconcat(_u17861, _u17862) = c_List_Oconcat(_u17861, _u17863)) )).
% 20.36/20.58 cnf(fact_concat__eq__concat__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17861), tc_List_Olist(_u17861), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17861), tc_fun(tc_List_Olist(_u17861), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17861), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17861), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17861), tc_HOL_Obool)), tc_List_Olist(_u17861)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17861))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17861)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17861))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17861)))), skolem447(_u17863, _u17862, _u17861))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17861))), _u17862) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17861))), _u17863)) | ( c_List_Oconcat(_u17861, _u17862) != c_List_Oconcat(_u17861, _u17863)) | ( _u17862 = _u17863) )).
% 20.36/20.58 cnf(fact_concat__eq__concat__iff-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17861), tc_List_Olist(_u17861), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17861), tc_fun(tc_List_Olist(_u17861), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17861), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17861), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17861), tc_HOL_Obool)), tc_List_Olist(_u17861)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17861))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17861)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17861))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17861)))), skolem447(_u17863, _u17862, _u17861))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17861))), _u17862) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17861))), _u17863)) | ( _u17862 != _u17863) | ( c_List_Oconcat(_u17861, _u17862) = c_List_Oconcat(_u17861, _u17863)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_concat__injective ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_concat__injective-1, axiom, ( ( c_List_Oconcat(_u17865, _u17866) != c_List_Oconcat(_u17865, _u17867)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17865))), _u17866) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17865))), _u17867)) | ( _u17866 = _u17867) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17865), tc_List_Olist(_u17865))), skolem448(_u17867, _u17866, _u17865)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u17865), tc_List_Olist(_u17865))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u17865), tc_List_Olist(_u17865)), _u17866), _u17867)))) )).
% 20.36/20.58 cnf(fact_concat__injective-2, axiom, ( ( c_List_Oconcat(_u17865, _u17866) != c_List_Oconcat(_u17865, _u17867)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17865))), _u17866) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17865))), _u17867)) | ( _u17866 = _u17867) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17865), tc_List_Olist(_u17865), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17865), tc_fun(tc_List_Olist(_u17865), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17865), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17865), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17865), tc_HOL_Obool)), tc_List_Olist(_u17865)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17865))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17865)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17865))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17865)))), skolem448(_u17867, _u17866, _u17865))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_concat__map__singleton ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_concat__map__singleton-1, axiom, ( ( c_List_Oconcat(_u17868, hAPP(hAPP(c_List_Omap(_u17869, tc_List_Olist(_u17868)), hAPP(hAPP(c_COMBC(_u17869, tc_List_Olist(_u17868), tc_List_Olist(_u17868)), hAPP(hAPP(c_COMBB(_u17868, tc_fun(tc_List_Olist(_u17868), tc_List_Olist(_u17868)), _u17869), c_List_Olist_OCons(_u17868)), _u17870)), c_List_Olist_ONil(_u17868))), _u17871)) = hAPP(hAPP(c_List_Omap(_u17869, _u17868), _u17870), _u17871)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_n__lists_Osimps_I2_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_n__lists_Osimps_I2_J-1, axiom, ( ( c_Enum_On__lists(_u17872, hAPP(c_Nat_OSuc, _u17873), _u17874) = c_List_Oconcat(tc_List_Olist(_u17872), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17872), tc_List_Olist(tc_List_Olist(_u17872))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17872), tc_List_Olist(_u17872), tc_List_Olist(tc_List_Olist(_u17872))), hAPP(hAPP(c_COMBB(tc_fun(_u17872, tc_List_Olist(_u17872)), tc_fun(tc_List_Olist(_u17872), tc_List_Olist(tc_List_Olist(_u17872))), tc_List_Olist(_u17872)), c_List_Omap(_u17872, tc_List_Olist(_u17872))), hAPP(c_COMBC(_u17872, tc_List_Olist(_u17872), tc_List_Olist(_u17872)), c_List_Olist_OCons(_u17872)))), _u17874)), c_Enum_On__lists(_u17872, _u17873, _u17874)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_transpose_Osimps_I3_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_transpose_Osimps_I3_J-1, axiom, ( ( c_List_Otranspose(_u17875, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17875)), hAPP(hAPP(c_List_Olist_OCons(_u17875), _u17876), _u17877)), _u17878)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17875)), hAPP(hAPP(c_List_Olist_OCons(_u17875), _u17876), c_List_Oconcat(_u17875, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17875), tc_List_Olist(_u17875)), c_List_Olist_Olist__case(tc_List_Olist(_u17875), _u17875, c_List_Olist_ONil(_u17875), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17875), tc_fun(tc_List_Olist(_u17875), tc_List_Olist(_u17875)), _u17875), c_COMBK(tc_List_Olist(_u17875), tc_List_Olist(_u17875))), hAPP(hAPP(c_COMBC(_u17875, tc_List_Olist(_u17875), tc_List_Olist(_u17875)), c_List_Olist_OCons(_u17875)), c_List_Olist_ONil(_u17875))))), _u17878)))), c_List_Otranspose(_u17875, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17875)), _u17877), c_List_Oconcat(tc_List_Olist(_u17875), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17875), tc_List_Olist(tc_List_Olist(_u17875))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u17875)), _u17875, c_List_Olist_ONil(tc_List_Olist(_u17875)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u17875), tc_List_Olist(tc_List_Olist(_u17875))), _u17875), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17875), tc_List_Olist(tc_List_Olist(_u17875)), tc_List_Olist(tc_List_Olist(_u17875))), c_List_Olist_OCons(tc_List_Olist(_u17875))), c_List_Olist_ONil(tc_List_Olist(_u17875)))))), _u17878)))))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_transpose__aux__filter__head ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_transpose__aux__filter__head-1, axiom, ( ( c_List_Oconcat(_u17879, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17879), tc_List_Olist(_u17879)), c_List_Olist_Olist__case(tc_List_Olist(_u17879), _u17879, c_List_Olist_ONil(_u17879), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17879), tc_fun(tc_List_Olist(_u17879), tc_List_Olist(_u17879)), _u17879), c_COMBK(tc_List_Olist(_u17879), tc_List_Olist(_u17879))), hAPP(hAPP(c_COMBC(_u17879, tc_List_Olist(_u17879), tc_List_Olist(_u17879)), c_List_Olist_OCons(_u17879)), c_List_Olist_ONil(_u17879))))), _u17880)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17879), _u17879), c_List_Ohd(_u17879)), hAPP(c_List_Ofilter(tc_List_Olist(_u17879), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u17879)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17879), tc_List_Olist(_u17879), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u17879)))), _u17880))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_filter__concat ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_filter__concat-1, axiom, ( ( hAPP(c_List_Ofilter(_u17881, _u17882), c_List_Oconcat(_u17881, _u17883)) = c_List_Oconcat(_u17881, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17881), tc_List_Olist(_u17881)), c_List_Ofilter(_u17881, _u17882)), _u17883))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_filter__sort ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_filter__sort-1, axiom, ( ~class_Orderings_Olinorder(_u17884) | ( hAPP(c_List_Ofilter(_u17885, _u17886), c_List_Olinorder__class_Osort__key(_u17885, _u17884, _u17887, _u17888)) = c_List_Olinorder__class_Osort__key(_u17885, _u17884, _u17887, hAPP(c_List_Ofilter(_u17885, _u17886), _u17888))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_distinct__filter ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_distinct__filter-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17889), _u17890)) | hBOOL(hAPP(c_List_Odistinct(_u17889), hAPP(c_List_Ofilter(_u17889, _u17891), _u17890))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_filter__is__subset ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_filter__is__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17892, tc_HOL_Obool)), hAPP(c_List_Oset(_u17892), hAPP(c_List_Ofilter(_u17892, _u17893), _u17894))), hAPP(c_List_Oset(_u17892), _u17894))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_filter__id__conv ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_filter__id__conv-1, axiom, ( ( hAPP(c_List_Ofilter(_u17900, _u17902), _u17904) != _u17904) | ~hBOOL(hAPP(hAPP(c_member(_u17900), _u17895), hAPP(c_List_Oset(_u17900), _u17904))) | hBOOL(hAPP(_u17902, _u17895)) )).
% 20.36/20.58 cnf(fact_filter__id__conv-2, axiom, ( ( hAPP(c_List_Ofilter(_u17901, _u17903), _u17905) = _u17905) | hBOOL(hAPP(hAPP(c_member(_u17901), skolem449(_u17905, _u17903, _u17901)), hAPP(c_List_Oset(_u17901), _u17905))) )).
% 20.36/20.58 cnf(fact_filter__id__conv-3, axiom, ( ( hAPP(c_List_Ofilter(_u17901, _u17903), _u17905) = _u17905) | ~hBOOL(hAPP(_u17903, skolem449(_u17905, _u17903, _u17901))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sum__length__filter__compl ( axiom ) converted to clauses:
% 20.36/20.58 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(_u17906)), hAPP(c_List_Ofilter(_u17906, _u17907), _u17908))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17906)), hAPP(c_List_Ofilter(_u17906, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u17906), c_fNot), _u17907)), _u17908))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17906)), _u17908)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_length__filter__le ( axiom ) converted to clauses:
% 20.36/20.58 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(_u17909)), hAPP(c_List_Ofilter(_u17909, _u17910), _u17911))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17909)), _u17911))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_filter__filter ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_filter__filter-1, axiom, ( ( hAPP(c_List_Ofilter(_u17912, _u17913), hAPP(c_List_Ofilter(_u17912, _u17914), _u17915)) = hAPP(c_List_Ofilter(_u17912, hAPP(hAPP(c_COMBS(_u17912, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17912), c_fconj), _u17914)), _u17913)), _u17915)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_filter__remove1 ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_filter__remove1-1, axiom, ( ( hAPP(c_List_Ofilter(_u17916, _u17917), c_List_Oremove1(_u17916, _u17918, _u17919)) = c_List_Oremove1(_u17916, _u17918, hAPP(c_List_Ofilter(_u17916, _u17917), _u17919))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_remove1__filter__not ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_remove1__filter__not-1, axiom, ( hBOOL(hAPP(_u17920, _u17921)) | ( c_List_Oremove1(_u17922, _u17921, hAPP(c_List_Ofilter(_u17922, _u17920), _u17923)) = hAPP(c_List_Ofilter(_u17922, _u17920), _u17923)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_filter__insort__triv ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_filter__insort__triv-1, axiom, ( ~class_Orderings_Olinorder(_u17924) | hBOOL(hAPP(_u17925, _u17926)) | ( hAPP(c_List_Ofilter(_u17927, _u17925), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17927, _u17924, _u17928), _u17926), _u17929)) = hAPP(c_List_Ofilter(_u17927, _u17925), _u17929)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_partition__filter1 ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_partition__filter1-1, axiom, ( ( hAPP(c_Product__Type_Ofst(tc_List_Olist(_u17930), tc_List_Olist(_u17930)), c_List_Opartition(_u17930, _u17931, _u17932)) = hAPP(c_List_Ofilter(_u17930, _u17931), _u17932)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_filter__map ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_filter__map-1, axiom, ( ( hAPP(c_List_Ofilter(_u17933, _u17934), hAPP(hAPP(c_List_Omap(_u17935, _u17933), _u17936), _u17937)) = hAPP(hAPP(c_List_Omap(_u17935, _u17933), _u17936), hAPP(c_List_Ofilter(_u17935, hAPP(c_Fun_Ocomp(_u17933, tc_HOL_Obool, _u17935, _u17934), _u17936)), _u17937))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_filter_Osimps_I1_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_filter_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Ofilter(_u17938, _u17939), c_List_Olist_ONil(_u17938)) = c_List_Olist_ONil(_u17938)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_transpose_Osimps_I1_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_transpose_Osimps_I1_J-1, axiom, ( ( c_List_Otranspose(_u17940, c_List_Olist_ONil(tc_List_Olist(_u17940))) = c_List_Olist_ONil(tc_List_Olist(_u17940))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_filter_Osimps_I2_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_filter_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(_u17945, _u17947)) | ( hAPP(c_List_Ofilter(_u17949, _u17945), hAPP(hAPP(c_List_Olist_OCons(_u17949), _u17947), _u17951)) = hAPP(hAPP(c_List_Olist_OCons(_u17949), _u17947), hAPP(c_List_Ofilter(_u17949, _u17945), _u17951))) )).
% 20.36/20.58 cnf(fact_filter_Osimps_I2_J-2, axiom, ( hBOOL(hAPP(_u17946, _u17948)) | ( hAPP(c_List_Ofilter(_u17950, _u17946), hAPP(hAPP(c_List_Olist_OCons(_u17950), _u17948), _u17952)) = hAPP(c_List_Ofilter(_u17950, _u17946), _u17952)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_filter__append ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_filter__append-1, axiom, ( ( hAPP(c_List_Ofilter(_u17953, _u17954), hAPP(hAPP(c_List_Oappend(_u17953), _u17955), _u17956)) = hAPP(hAPP(c_List_Oappend(_u17953), hAPP(c_List_Ofilter(_u17953, _u17954), _u17955)), hAPP(c_List_Ofilter(_u17953, _u17954), _u17956))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_filter__empty__conv ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_filter__empty__conv-1, axiom, ( ( hAPP(c_List_Ofilter(_u17962, _u17964), _u17966) != c_List_Olist_ONil(_u17962)) | ~hBOOL(hAPP(hAPP(c_member(_u17962), _u17957), hAPP(c_List_Oset(_u17962), _u17966))) | ~hBOOL(hAPP(_u17964, _u17957)) )).
% 20.36/20.58 cnf(fact_filter__empty__conv-2, axiom, ( ( hAPP(c_List_Ofilter(_u17963, _u17965), _u17967) = c_List_Olist_ONil(_u17963)) | hBOOL(hAPP(hAPP(c_member(_u17963), skolem450(_u17967, _u17965, _u17963)), hAPP(c_List_Oset(_u17963), _u17967))) )).
% 20.36/20.58 cnf(fact_filter__empty__conv-3, axiom, ( ( hAPP(c_List_Ofilter(_u17963, _u17965), _u17967) = c_List_Olist_ONil(_u17963)) | hBOOL(hAPP(_u17965, skolem450(_u17967, _u17965, _u17963))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_removeAll__filter__not__eq ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_removeAll__filter__not__eq-1, axiom, ( ( c_List_OremoveAll(_u17968, _u17969) = c_List_Ofilter(_u17968, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u17968), c_fNot), hAPP(c_fequal, _u17969)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_remdups__filter ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_remdups__filter-1, axiom, ( ( c_List_Oremdups(_u17970, hAPP(c_List_Ofilter(_u17970, _u17971), _u17972)) = hAPP(c_List_Ofilter(_u17970, _u17971), c_List_Oremdups(_u17970, _u17972))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_removeAll__filter__not ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_removeAll__filter__not-1, axiom, ( hBOOL(hAPP(_u17973, _u17974)) | ( hAPP(c_List_OremoveAll(_u17975, _u17974), hAPP(c_List_Ofilter(_u17975, _u17973), _u17976)) = hAPP(c_List_Ofilter(_u17975, _u17973), _u17976)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_partition__filter2 ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_partition__filter2-1, axiom, ( ( hAPP(c_Product__Type_Osnd(tc_List_Olist(_u17977), tc_List_Olist(_u17977)), c_List_Opartition(_u17977, _u17978, _u17979)) = hAPP(c_List_Ofilter(_u17977, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u17977, c_fNot), _u17978)), _u17979)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_transpose_Osimps_I2_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_transpose_Osimps_I2_J-1, axiom, ( ( c_List_Otranspose(_u17980, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17980)), c_List_Olist_ONil(_u17980)), _u17981)) = c_List_Otranspose(_u17980, _u17981)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_nth__transpose ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_nth__transpose-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17982), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17983))), c_List_Otranspose(_u17983, _u17984)))) | ( hAPP(hAPP(c_List_Onth(tc_List_Olist(_u17983)), c_List_Otranspose(_u17983, _u17984)), _u17982) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17983), _u17983), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17983), tc_Nat_Onat, _u17983), c_List_Onth(_u17983)), _u17982)), hAPP(c_List_Ofilter(tc_List_Olist(_u17983), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17983)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17982)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17983)))), _u17984))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_transpose__map__map ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_transpose__map__map-1, axiom, ( ( c_List_Otranspose(_u17985, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17986), tc_List_Olist(_u17985)), hAPP(c_List_Omap(_u17986, _u17985), _u17987)), _u17988)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17986), tc_List_Olist(_u17985)), hAPP(c_List_Omap(_u17986, _u17985), _u17987)), c_List_Otranspose(_u17986, _u17988))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_set__filter ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_set__filter-1, axiom, ( ( hAPP(c_List_Oset(_u17989), hAPP(c_List_Ofilter(_u17989, _u17990), _u17991)) = hAPP(c_Set_OCollect(_u17989), hAPP(hAPP(c_COMBS(_u17989, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17989), c_fconj), hAPP(hAPP(c_COMBC(_u17989, tc_fun(_u17989, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17989)), hAPP(c_List_Oset(_u17989), _u17991)))), _u17990))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_length__filter__map ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_length__filter__map-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17992)), hAPP(c_List_Ofilter(_u17992, _u17993), hAPP(hAPP(c_List_Omap(_u17994, _u17992), _u17995), _u17996))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17994)), hAPP(c_List_Ofilter(_u17994, hAPP(c_Fun_Ocomp(_u17992, tc_HOL_Obool, _u17994, _u17993), _u17995)), _u17996))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_length__filter__less ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_length__filter__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17997), _u17998), hAPP(c_List_Oset(_u17997), _u17999))) | hBOOL(hAPP(_u18000, _u17998)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17997)), hAPP(c_List_Ofilter(_u17997, _u18000), _u17999))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17997)), _u17999))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_partition__filter__conv ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_partition__filter__conv-1, axiom, ( ( c_List_Opartition(_u18001, _u18002, _u18003) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18001), tc_List_Olist(_u18001)), hAPP(c_List_Ofilter(_u18001, _u18002), _u18003)), hAPP(c_List_Ofilter(_u18001, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u18001, c_fNot), _u18002)), _u18003))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_set__minus__filter__out ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_set__minus__filter__out-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18004, tc_HOL_Obool)), hAPP(c_List_Oset(_u18004), _u18005)), hAPP(hAPP(c_Set_Oinsert(_u18004), _u18006), c_Orderings_Obot__class_Obot(tc_fun(_u18004, tc_HOL_Obool)))) = hAPP(c_List_Oset(_u18004), hAPP(c_List_Ofilter(_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))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_filter__in__sublist ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_filter__in__sublist-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18007), _u18008)) | ( hAPP(c_List_Ofilter(_u18007, hAPP(hAPP(c_COMBC(_u18007, tc_fun(_u18007, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18007)), hAPP(c_List_Oset(_u18007), c_List_Osublist(_u18007, _u18008, _u18009)))), _u18008) = c_List_Osublist(_u18007, _u18008, _u18009)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_transpose__empty ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_transpose__empty-1, axiom, ( ( c_List_Otranspose(_u18014, _u18016) != c_List_Olist_ONil(tc_List_Olist(_u18014))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18014)), _u18010), hAPP(c_List_Oset(tc_List_Olist(_u18014)), _u18016))) | ( _u18010 = c_List_Olist_ONil(_u18014)) )).
% 20.36/20.58 cnf(fact_transpose__empty-2, axiom, ( ( c_List_Otranspose(_u18015, _u18017) = c_List_Olist_ONil(tc_List_Olist(_u18015))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18015)), skolem451(_u18017, _u18015)), hAPP(c_List_Oset(tc_List_Olist(_u18015)), _u18017))) )).
% 20.36/20.58 cnf(fact_transpose__empty-3, axiom, ( ( c_List_Otranspose(_u18015, _u18017) = c_List_Olist_ONil(tc_List_Olist(_u18015))) | ( skolem451(_u18017, _u18015) != c_List_Olist_ONil(_u18015)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_length__filter__conv__card ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_length__filter__conv__card-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18018)), hAPP(c_List_Ofilter(_u18018, _u18019), _u18020)) = 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(_u18018)), _u18020)))), hAPP(hAPP(c_COMBB(_u18018, tc_HOL_Obool, tc_Nat_Onat), _u18019), hAPP(c_List_Onth(_u18018), _u18020)))))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_transpose__aux__filter__tail ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_transpose__aux__filter__tail-1, axiom, ( ( c_List_Oconcat(tc_List_Olist(_u18021), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18021), tc_List_Olist(tc_List_Olist(_u18021))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u18021)), _u18021, c_List_Olist_ONil(tc_List_Olist(_u18021)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u18021), tc_List_Olist(tc_List_Olist(_u18021))), _u18021), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18021), tc_List_Olist(tc_List_Olist(_u18021)), tc_List_Olist(tc_List_Olist(_u18021))), c_List_Olist_OCons(tc_List_Olist(_u18021))), c_List_Olist_ONil(tc_List_Olist(_u18021)))))), _u18022)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18021), tc_List_Olist(_u18021)), c_List_Otl(_u18021)), hAPP(c_List_Ofilter(tc_List_Olist(_u18021), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18021)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18021), tc_List_Olist(_u18021), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u18021)))), _u18022))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_transpose_Opsimps_I3_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_transpose_Opsimps_I3_J-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u18023)), c_List_Otranspose__rel(_u18023)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18023)), hAPP(hAPP(c_List_Olist_OCons(_u18023), _u18024), _u18025)), _u18026))) | ( c_List_Otranspose(_u18023, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18023)), hAPP(hAPP(c_List_Olist_OCons(_u18023), _u18024), _u18025)), _u18026)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18023)), hAPP(hAPP(c_List_Olist_OCons(_u18023), _u18024), c_List_Oconcat(_u18023, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18023), tc_List_Olist(_u18023)), c_List_Olist_Olist__case(tc_List_Olist(_u18023), _u18023, c_List_Olist_ONil(_u18023), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18023), tc_fun(tc_List_Olist(_u18023), tc_List_Olist(_u18023)), _u18023), c_COMBK(tc_List_Olist(_u18023), tc_List_Olist(_u18023))), hAPP(hAPP(c_COMBC(_u18023, tc_List_Olist(_u18023), tc_List_Olist(_u18023)), c_List_Olist_OCons(_u18023)), c_List_Olist_ONil(_u18023))))), _u18026)))), c_List_Otranspose(_u18023, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18023)), _u18025), c_List_Oconcat(tc_List_Olist(_u18023), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18023), tc_List_Olist(tc_List_Olist(_u18023))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u18023)), _u18023, c_List_Olist_ONil(tc_List_Olist(_u18023)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u18023), tc_List_Olist(tc_List_Olist(_u18023))), _u18023), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18023), tc_List_Olist(tc_List_Olist(_u18023)), tc_List_Olist(tc_List_Olist(_u18023))), c_List_Olist_OCons(tc_List_Olist(_u18023))), c_List_Olist_ONil(tc_List_Olist(_u18023)))))), _u18026)))))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_transpose_Opsimps_I2_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_transpose_Opsimps_I2_J-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u18027)), c_List_Otranspose__rel(_u18027)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18027)), c_List_Olist_ONil(_u18027)), _u18028))) | ( c_List_Otranspose(_u18027, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18027)), c_List_Olist_ONil(_u18027)), _u18028)) = c_List_Otranspose(_u18027, _u18028)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sublist__shift__lemma__Suc ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sublist__shift__lemma__Suc-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u18029, tc_Nat_Onat), _u18029), c_Product__Type_Ofst(_u18029, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18029, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u18029, tc_Nat_Onat)), _u18030), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_prod(_u18029, tc_Nat_Onat)), c_Nat_OSuc), c_Product__Type_Osnd(_u18029, tc_Nat_Onat)))), hAPP(hAPP(c_List_Ozip(_u18029, tc_Nat_Onat), _u18031), _u18032))) = hAPP(hAPP(c_List_Omap(tc_prod(_u18029, tc_Nat_Onat), _u18029), c_Product__Type_Ofst(_u18029, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18029, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u18029, tc_Nat_Onat)), _u18030), c_Product__Type_Osnd(_u18029, tc_Nat_Onat))), hAPP(hAPP(c_List_Ozip(_u18029, tc_Nat_Onat), _u18031), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), _u18032))))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_select__weigth__drop__zero ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_select__weigth__drop__zero-1, axiom, ( ( c_Random_Oselect__weight(_u18033, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18033), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u18033, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u18033, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u18033)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u18034)) = c_Random_Oselect__weight(_u18033, _u18034)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_pick__drop__zero ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_pick__drop__zero-1, axiom, ( ( c_Random_Opick(_u18035, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18035), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u18035, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u18035, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u18035)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u18036)) = c_Random_Opick(_u18035, _u18036)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_transpose_Opsimps_I1_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_transpose_Opsimps_I1_J-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u18037)), c_List_Otranspose__rel(_u18037)), c_List_Olist_ONil(tc_List_Olist(_u18037)))) | ( c_List_Otranspose(_u18037, c_List_Olist_ONil(tc_List_Olist(_u18037))) = c_List_Olist_ONil(tc_List_Olist(_u18037))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_transpose__max__length ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_transpose__max__length-1, axiom, ( ( c_List_Ofoldr(tc_List_Olist(_u18038), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u18038)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18038))), c_List_Otranspose(_u18038, _u18039), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18038))), hAPP(c_List_Ofilter(tc_List_Olist(_u18038), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18038)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18038), tc_List_Olist(_u18038), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u18038)))), _u18039))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_transpose__aux__max ( axiom ) converted to clauses:
% 20.36/20.58 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(_u18040)), _u18041))), c_List_Ofoldr(tc_List_Olist(_u18042), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u18042)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18042))), _u18043, 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(_u18040)), _u18041)), c_List_Ofoldr(tc_List_Olist(_u18042), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u18042)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18042), tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u18042)), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18042)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_List_Ofilter(tc_List_Olist(_u18042), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18042)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18042), tc_List_Olist(_u18042), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u18042)))), _u18043), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_foldr_Osimps_I1_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_foldr_Osimps_I1_J-1, axiom, ( ( c_List_Ofoldr(_u18044, _u18045, _u18046, c_List_Olist_ONil(_u18044), _u18047) = _u18047) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_foldr_Osimps_I2_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_foldr_Osimps_I2_J-1, axiom, ( ( c_List_Ofoldr(_u18048, _u18049, _u18050, hAPP(hAPP(c_List_Olist_OCons(_u18048), _u18051), _u18052), _u18053) = hAPP(hAPP(_u18050, _u18051), c_List_Ofoldr(_u18048, _u18049, _u18050, _u18052, _u18053))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_foldr__append ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_foldr__append-1, axiom, ( ( c_List_Ofoldr(_u18054, _u18055, _u18056, hAPP(hAPP(c_List_Oappend(_u18054), _u18057), _u18058), _u18059) = c_List_Ofoldr(_u18054, _u18055, _u18056, _u18057, c_List_Ofoldr(_u18054, _u18055, _u18056, _u18058, _u18059))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_foldr__conv__foldl ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_foldr__conv__foldl-1, axiom, ( ~class_Groups_Oab__semigroup__add(_u18060) | ( c_List_Ofoldr(_u18060, _u18060, c_Groups_Oplus__class_Oplus(_u18060), _u18061, _u18062) = hAPP(c_List_Ofoldl(_u18060, _u18060, c_Groups_Oplus__class_Oplus(_u18060), _u18062), _u18061)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_foldr__map ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_foldr__map-1, axiom, ( ( c_List_Ofoldr(_u18063, _u18064, _u18065, hAPP(hAPP(c_List_Omap(_u18066, _u18063), _u18067), _u18068), _u18069) = c_List_Ofoldr(_u18066, _u18064, hAPP(c_Fun_Ocomp(_u18063, tc_fun(_u18064, _u18064), _u18066, _u18065), _u18067), _u18068, _u18069)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_foldl__foldr1 ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_foldl__foldr1-1, axiom, ( ~class_Groups_Omonoid__add(_u18070) | ( hAPP(c_List_Ofoldl(_u18070, _u18070, c_Groups_Oplus__class_Oplus(_u18070), c_Groups_Ozero__class_Ozero(_u18070)), _u18071) = c_List_Ofoldr(_u18070, _u18070, c_Groups_Oplus__class_Oplus(_u18070), _u18071, c_Groups_Ozero__class_Ozero(_u18070))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_foldl__foldr1__lemma ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_foldl__foldr1__lemma-1, axiom, ( ~class_Groups_Omonoid__add(_u18072) | ( hAPP(c_List_Ofoldl(_u18072, _u18072, c_Groups_Oplus__class_Oplus(_u18072), _u18073), _u18074) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u18072), _u18073), c_List_Ofoldr(_u18072, _u18072, c_Groups_Oplus__class_Oplus(_u18072), _u18074, c_Groups_Ozero__class_Ozero(_u18072)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_length__transpose ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_length__transpose-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18075))), c_List_Otranspose(_u18075, _u18076)) = c_List_Ofoldr(tc_List_Olist(_u18075), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u18075)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18075))), _u18076, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sublist__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sublist__def-1, axiom, ( ( c_List_Osublist(_u18077, _u18078, _u18079) = hAPP(hAPP(c_List_Omap(tc_prod(_u18077, tc_Nat_Onat), _u18077), c_Product__Type_Ofst(_u18077, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18077, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u18077, 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(_u18077, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u18077, tc_Nat_Onat))), _u18079)), hAPP(hAPP(c_List_Ozip(_u18077, tc_Nat_Onat), _u18078), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18077)), _u18078)))))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sublist__shift__lemma ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sublist__shift__lemma-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u18080, tc_Nat_Onat), _u18080), c_Product__Type_Ofst(_u18080, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18080, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u18080, 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(_u18080, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u18080, tc_Nat_Onat))), _u18081)), hAPP(hAPP(c_List_Ozip(_u18080, tc_Nat_Onat), _u18082), c_List_Oupt(_u18083, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18083), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18080)), _u18082)))))) = hAPP(hAPP(c_List_Omap(tc_prod(_u18080, tc_Nat_Onat), _u18080), c_Product__Type_Ofst(_u18080, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18080, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u18080, 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(_u18080, tc_Nat_Onat)), c_member(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u18080, 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(_u18080, tc_Nat_Onat)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Product__Type_Osnd(_u18080, tc_Nat_Onat))), _u18083))), _u18081)), hAPP(hAPP(c_List_Ozip(_u18080, tc_Nat_Onat), _u18082), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18080)), _u18082)))))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_atLeastLessThan__upt ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_atLeastLessThan__upt-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u18084), _u18085) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18084, _u18085))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_set__upt ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_set__upt-1, axiom, ( ( hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18086, _u18087)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u18086), _u18087)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_upt__Suc ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_upt__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18090), _u18092)) | ( c_List_Oupt(_u18090, hAPP(c_Nat_OSuc, _u18092)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u18090, _u18092)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18092), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 20.36/20.58 cnf(fact_upt__Suc-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18091), _u18093)) | ( c_List_Oupt(_u18091, hAPP(c_Nat_OSuc, _u18093)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_upt__Suc__append ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_upt__Suc__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18094), _u18095)) | ( c_List_Oupt(_u18094, hAPP(c_Nat_OSuc, _u18095)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u18094, _u18095)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18095), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_upt__add__eq__append ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_upt__add__eq__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18096), _u18097)) | ( c_List_Oupt(_u18096, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18097), _u18098)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u18096, _u18097)), c_List_Oupt(_u18097, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18097), _u18098)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_upt__rec ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_upt__rec-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18101), _u18103)) | ( c_List_Oupt(_u18101, _u18103) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18101), c_List_Oupt(hAPP(c_Nat_OSuc, _u18101), _u18103))) )).
% 20.36/20.58 cnf(fact_upt__rec-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18102), _u18104)) | ( c_List_Oupt(_u18102, _u18104) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_upt__conv__Cons ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_upt__conv__Cons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18105), _u18106)) | ( c_List_Oupt(_u18105, _u18106) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18105), c_List_Oupt(hAPP(c_Nat_OSuc, _u18105), _u18106))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_upt__conv__Nil ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_upt__conv__Nil-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18107), _u18108)) | ( c_List_Oupt(_u18108, _u18107) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_upt__eq__Nil__conv ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_upt__eq__Nil__conv-1, axiom, ( ( c_List_Oupt(_u18111, _u18113) != c_List_Olist_ONil(tc_Nat_Onat)) | ( _u18113 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18113), _u18111)) )).
% 20.36/20.58 cnf(fact_upt__eq__Nil__conv-2, axiom, ( ( c_List_Oupt(_u18112, _u18114) = c_List_Olist_ONil(tc_Nat_Onat)) | ( _u18114 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.58 cnf(fact_upt__eq__Nil__conv-3, axiom, ( ( c_List_Oupt(_u18112, _u18114) = c_List_Olist_ONil(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18114), _u18112)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_upt__0 ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_upt__0-1, axiom, ( ( c_List_Oupt(_u18115, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_take__upt ( axiom ) converted to clauses:
% 20.36/20.58 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), _u18116), _u18117)), _u18118)) | ( hAPP(hAPP(c_List_Otake(tc_Nat_Onat), _u18117), c_List_Oupt(_u18116, _u18118)) = c_List_Oupt(_u18116, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18116), _u18117))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sorted__list__of__set__range ( axiom ) converted to clauses:
% 20.36/20.58 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, _u18119), _u18120)) = c_List_Oupt(_u18119, _u18120)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_hd__upt ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_hd__upt-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18121), _u18122)) | ( hAPP(c_List_Ohd(tc_Nat_Onat), c_List_Oupt(_u18121, _u18122)) = _u18121) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_drop__upt ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_drop__upt-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(tc_Nat_Onat), _u18123), c_List_Oupt(_u18124, _u18125)) = c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18124), _u18123), _u18125)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_distinct__upt ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_distinct__upt-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat), c_List_Oupt(_u18126, _u18127))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_length__upt ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_length__upt-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), c_List_Oupt(_u18128, _u18129)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18129), _u18128)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_upt__rec__number__of ( axiom ) converted to clauses:
% 20.36/20.58 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), _u18132)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18134))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18132), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18134)) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18132)), c_List_Oupt(hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18132)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18134)))) )).
% 20.36/20.58 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), _u18133)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18135))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18133), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18135)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_upt__eq__Cons__conv ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_upt__eq__Cons__conv-1, axiom, ( ( c_List_Oupt(_u18140, _u18142) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18144), _u18146)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18140), _u18142)) )).
% 20.36/20.58 cnf(fact_upt__eq__Cons__conv-2, axiom, ( ( c_List_Oupt(_u18140, _u18142) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18144), _u18146)) | ( _u18140 = _u18144) )).
% 20.36/20.58 cnf(fact_upt__eq__Cons__conv-3, axiom, ( ( c_List_Oupt(_u18140, _u18142) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18144), _u18146)) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18140), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u18142) = _u18146) )).
% 20.36/20.58 cnf(fact_upt__eq__Cons__conv-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18141), _u18143)) | ( _u18141 != _u18145) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18141), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u18143) != _u18147) | ( c_List_Oupt(_u18141, _u18143) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18145), _u18147)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_last__upt ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_last__upt-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18148), _u18149)) | ( c_List_Olast(tc_Nat_Onat, c_List_Oupt(_u18148, _u18149)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18149), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_map__Suc__upt ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_map__Suc__upt-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), c_List_Oupt(_u18150, _u18151)) = c_List_Oupt(hAPP(c_Nat_OSuc, _u18150), hAPP(c_Nat_OSuc, _u18151))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_atLeastAtMost__upt ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_atLeastAtMost__upt-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u18152, _u18153) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18152, hAPP(c_Nat_OSuc, _u18153)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_atLeast__upt ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_atLeast__upt-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u18154) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18154))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_nth__upt ( axiom ) converted to clauses:
% 20.36/20.58 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), _u18155), _u18156)), _u18157)) | ( hAPP(hAPP(c_List_Onth(tc_Nat_Onat), c_List_Oupt(_u18155, _u18157)), _u18156) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18155), _u18156)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_greaterThanAtMost__upt ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_greaterThanAtMost__upt-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u18158, _u18159) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u18158), hAPP(c_Nat_OSuc, _u18159)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_greaterThanLessThan__upt ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_greaterThanLessThan__upt-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u18160, _u18161) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u18160), _u18161))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_atMost__upto ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_atMost__upto-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u18162) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u18162)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_map__nth ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_map__nth-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18163), hAPP(c_List_Onth(_u18163), _u18164)), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18163)), _u18164))) = _u18164) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_interv__listsum__conv__setsum__set__nat ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_interv__listsum__conv__setsum__set__nat-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18165) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18165), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18165), _u18166), c_List_Oupt(_u18167, _u18168))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u18165), _u18166), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18167, _u18168)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_setsum__set__upt__conv__listsum__nat ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_setsum__set__upt__conv__listsum__nat-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18169) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u18169), _u18170), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18171, _u18172))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18169), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18169), _u18170), c_List_Oupt(_u18171, _u18172)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_nth__map__upt ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_nth__map__upt-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18173), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18174), _u18175))) | ( hAPP(hAPP(c_List_Onth(_u18176), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18176), _u18177), c_List_Oupt(_u18175, _u18174))), _u18173) = hAPP(_u18177, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18175), _u18173))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_transpose__rectangle ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_transpose__rectangle-1, axiom, ( ( _u18179 = c_List_Olist_ONil(tc_List_Olist(_u18180))) | ( c_List_Otranspose(_u18180, _u18179) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18180)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18180)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18180), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18180)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18180)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18180), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18180), tc_fun(tc_Nat_Onat, _u18180), tc_Nat_Onat), c_List_Onth(_u18180)), hAPP(c_List_Onth(tc_List_Olist(_u18180)), _u18179))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18180))), _u18179)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18181))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem452(_u18181, _u18180, _u18179)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18180))), _u18179))) )).
% 20.36/20.58 cnf(fact_transpose__rectangle-2, axiom, ( ( _u18179 = c_List_Olist_ONil(tc_List_Olist(_u18180))) | ( c_List_Otranspose(_u18180, _u18179) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18180)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18180)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18180), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18180)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18180)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18180), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18180), tc_fun(tc_Nat_Onat, _u18180), tc_Nat_Onat), c_List_Onth(_u18180)), hAPP(c_List_Onth(tc_List_Olist(_u18180)), _u18179))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18180))), _u18179)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18181))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18180)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18180)), _u18179), skolem452(_u18181, _u18180, _u18179))) != _u18181) )).
% 20.36/20.58 cnf(fact_transpose__rectangle-3, axiom, ( ( _u18181 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u18180, _u18179) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18180)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18180)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18180), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18180)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18180)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18180), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18180), tc_fun(tc_Nat_Onat, _u18180), tc_Nat_Onat), c_List_Onth(_u18180)), hAPP(c_List_Onth(tc_List_Olist(_u18180)), _u18179))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18180))), _u18179)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18181))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem452(_u18181, _u18180, _u18179)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18180))), _u18179))) )).
% 20.36/20.58 cnf(fact_transpose__rectangle-4, axiom, ( ( _u18181 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u18180, _u18179) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18180)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18180)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18180), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18180)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18180)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18180), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18180), tc_fun(tc_Nat_Onat, _u18180), tc_Nat_Onat), c_List_Onth(_u18180)), hAPP(c_List_Onth(tc_List_Olist(_u18180)), _u18179))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18180))), _u18179)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18181))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18180)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18180)), _u18179), skolem452(_u18181, _u18180, _u18179))) != _u18181) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_insort__key__remove1 ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_insort__key__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u18182) | ~hBOOL(hAPP(hAPP(c_member(_u18183), _u18184), hAPP(c_List_Oset(_u18183), _u18185))) | ~c_List_Olinorder__class_Osorted(_u18182, hAPP(hAPP(c_List_Omap(_u18183, _u18182), _u18186), _u18185)) | ( hAPP(c_List_Ohd(_u18183), hAPP(c_List_Ofilter(_u18183, hAPP(hAPP(c_COMBB(_u18182, tc_HOL_Obool, _u18183), hAPP(c_fequal, hAPP(_u18186, _u18184))), _u18186)), _u18185)) != _u18184) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18183, _u18182, _u18186), _u18184), c_List_Oremove1(_u18183, _u18184, _u18185)) = _u18185) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sorted_ONil ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sorted_ONil-1, axiom, ( ~class_Orderings_Olinorder(_u18187) | c_List_Olinorder__class_Osorted(_u18187, c_List_Olist_ONil(_u18187)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sorted__single ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sorted__single-1, axiom, ( ~class_Orderings_Olinorder(_u18188) | c_List_Olinorder__class_Osorted(_u18188, hAPP(hAPP(c_List_Olist_OCons(_u18188), _u18189), c_List_Olist_ONil(_u18188))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sorted__upt ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sorted__upt-1, axiom, ( c_List_Olinorder__class_Osorted(tc_Nat_Onat, c_List_Oupt(_u18190, _u18191)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sorted__sort ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sorted__sort-1, axiom, ( ~class_Orderings_Olinorder(_u18192) | c_List_Olinorder__class_Osorted(_u18192, c_List_Olinorder__class_Osort__key(_u18192, _u18192, c_COMBI(_u18192), _u18193)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sorted__insort__insert ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sorted__insort__insert-1, axiom, ( ~class_Orderings_Olinorder(_u18194) | ~c_List_Olinorder__class_Osorted(_u18194, _u18195) | c_List_Olinorder__class_Osorted(_u18194, c_List_Olinorder__class_Oinsort__insert__key(_u18194, _u18194, c_COMBI(_u18194), _u18196, _u18195)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sorted__drop ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sorted__drop-1, axiom, ( ~class_Orderings_Olinorder(_u18197) | ~c_List_Olinorder__class_Osorted(_u18197, _u18198) | c_List_Olinorder__class_Osorted(_u18197, hAPP(hAPP(c_List_Odrop(_u18197), _u18199), _u18198)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sorted__upto ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sorted__upto-1, axiom, ( c_List_Olinorder__class_Osorted(tc_Int_Oint, c_List_Oupto(_u18200, _u18201)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sorted__take ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sorted__take-1, axiom, ( ~class_Orderings_Olinorder(_u18202) | ~c_List_Olinorder__class_Osorted(_u18202, _u18203) | c_List_Olinorder__class_Osorted(_u18202, hAPP(hAPP(c_List_Otake(_u18202), _u18204), _u18203)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sorted__remove1 ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sorted__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u18205) | ~c_List_Olinorder__class_Osorted(_u18205, _u18206) | c_List_Olinorder__class_Osorted(_u18205, c_List_Oremove1(_u18205, _u18207, _u18206)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sorted__tl ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sorted__tl-1, axiom, ( ~class_Orderings_Olinorder(_u18208) | ~c_List_Olinorder__class_Osorted(_u18208, _u18209) | c_List_Olinorder__class_Osorted(_u18208, hAPP(c_List_Otl(_u18208), _u18209)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sorted__insort ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sorted__insort-1, axiom, ( ~class_Orderings_Olinorder(_u18210) | ~c_List_Olinorder__class_Osorted(_u18210, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18210, _u18210, c_COMBI(_u18210)), _u18211), _u18212)) | c_List_Olinorder__class_Osorted(_u18210, _u18212) )).
% 20.36/20.58 cnf(fact_sorted__insort-2, axiom, ( ~class_Orderings_Olinorder(_u18210) | ~c_List_Olinorder__class_Osorted(_u18210, _u18212) | c_List_Olinorder__class_Osorted(_u18210, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18210, _u18210, c_COMBI(_u18210)), _u18211), _u18212)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sorted__butlast ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sorted__butlast-1, axiom, ( ~class_Orderings_Olinorder(_u18213) | ( _u18214 = c_List_Olist_ONil(_u18213)) | ~c_List_Olinorder__class_Osorted(_u18213, _u18214) | c_List_Olinorder__class_Osorted(_u18213, c_List_Obutlast(_u18213, _u18214)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sorted_Oequations_I1_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sorted_Oequations_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u18215) | c_List_Olinorder__class_Osorted(_u18215, c_List_Olist_ONil(_u18215)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sorted__many__eq ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sorted__many__eq-1, axiom, ( ~class_Orderings_Olinorder(_u18216) | ~c_List_Olinorder__class_Osorted(_u18216, hAPP(hAPP(c_List_Olist_OCons(_u18216), _u18217), hAPP(hAPP(c_List_Olist_OCons(_u18216), _u18218), _u18219))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18216), _u18217), _u18218)) )).
% 20.36/20.58 cnf(fact_sorted__many__eq-2, axiom, ( ~class_Orderings_Olinorder(_u18216) | ~c_List_Olinorder__class_Osorted(_u18216, hAPP(hAPP(c_List_Olist_OCons(_u18216), _u18217), hAPP(hAPP(c_List_Olist_OCons(_u18216), _u18218), _u18219))) | c_List_Olinorder__class_Osorted(_u18216, hAPP(hAPP(c_List_Olist_OCons(_u18216), _u18218), _u18219)) )).
% 20.36/20.58 cnf(fact_sorted__many__eq-3, axiom, ( ~class_Orderings_Olinorder(_u18216) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18216), _u18217), _u18218)) | ~c_List_Olinorder__class_Osorted(_u18216, hAPP(hAPP(c_List_Olist_OCons(_u18216), _u18218), _u18219)) | c_List_Olinorder__class_Osorted(_u18216, hAPP(hAPP(c_List_Olist_OCons(_u18216), _u18217), hAPP(hAPP(c_List_Olist_OCons(_u18216), _u18218), _u18219))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sorted__many ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sorted__many-1, axiom, ( ~class_Orderings_Olinorder(_u18220) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18220), _u18221), _u18222)) | ~c_List_Olinorder__class_Osorted(_u18220, hAPP(hAPP(c_List_Olist_OCons(_u18220), _u18222), _u18223)) | c_List_Olinorder__class_Osorted(_u18220, hAPP(hAPP(c_List_Olist_OCons(_u18220), _u18221), hAPP(hAPP(c_List_Olist_OCons(_u18220), _u18222), _u18223))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sorted__remdups ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sorted__remdups-1, axiom, ( ~class_Orderings_Olinorder(_u18224) | ~c_List_Olinorder__class_Osorted(_u18224, _u18225) | c_List_Olinorder__class_Osorted(_u18224, c_List_Oremdups(_u18224, _u18225)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sorted__distinct__set__unique ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sorted__distinct__set__unique-1, axiom, ( ~class_Orderings_Olinorder(_u18226) | ~c_List_Olinorder__class_Osorted(_u18226, _u18227) | ~hBOOL(hAPP(c_List_Odistinct(_u18226), _u18227)) | ~c_List_Olinorder__class_Osorted(_u18226, _u18228) | ~hBOOL(hAPP(c_List_Odistinct(_u18226), _u18228)) | ( hAPP(c_List_Oset(_u18226), _u18227) != hAPP(c_List_Oset(_u18226), _u18228)) | ( _u18227 = _u18228) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sorted__sort__key ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sorted__sort__key-1, axiom, ( ~class_Orderings_Olinorder(_u18229) | c_List_Olinorder__class_Osorted(_u18229, hAPP(hAPP(c_List_Omap(_u18230, _u18229), _u18231), c_List_Olinorder__class_Osort__key(_u18230, _u18229, _u18231, _u18232))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sorted__insort__insert__key ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sorted__insort__insert__key-1, axiom, ( ~class_Orderings_Olinorder(_u18233) | ~c_List_Olinorder__class_Osorted(_u18233, hAPP(hAPP(c_List_Omap(_u18234, _u18233), _u18235), _u18236)) | c_List_Olinorder__class_Osorted(_u18233, hAPP(hAPP(c_List_Omap(_u18234, _u18233), _u18235), c_List_Olinorder__class_Oinsort__insert__key(_u18234, _u18233, _u18235, _u18237, _u18236))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sorted__map__remove1 ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sorted__map__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u18238) | ~c_List_Olinorder__class_Osorted(_u18238, hAPP(hAPP(c_List_Omap(_u18239, _u18238), _u18240), _u18241)) | c_List_Olinorder__class_Osorted(_u18238, hAPP(hAPP(c_List_Omap(_u18239, _u18238), _u18240), c_List_Oremove1(_u18239, _u18242, _u18241))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sorted__insort__key ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sorted__insort__key-1, axiom, ( ~class_Orderings_Olinorder(_u18243) | ~c_List_Olinorder__class_Osorted(_u18243, hAPP(hAPP(c_List_Omap(_u18244, _u18243), _u18245), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18244, _u18243, _u18245), _u18246), _u18247))) | c_List_Olinorder__class_Osorted(_u18243, hAPP(hAPP(c_List_Omap(_u18244, _u18243), _u18245), _u18247)) )).
% 20.36/20.58 cnf(fact_sorted__insort__key-2, axiom, ( ~class_Orderings_Olinorder(_u18243) | ~c_List_Olinorder__class_Osorted(_u18243, hAPP(hAPP(c_List_Omap(_u18244, _u18243), _u18245), _u18247)) | c_List_Olinorder__class_Osorted(_u18243, hAPP(hAPP(c_List_Omap(_u18244, _u18243), _u18245), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18244, _u18243, _u18245), _u18246), _u18247))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sorted__map__same ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sorted__map__same-1, axiom, ( ~class_Orderings_Olinorder(_u18248) | c_List_Olinorder__class_Osorted(_u18248, hAPP(hAPP(c_List_Omap(_u18249, _u18248), _u18250), hAPP(c_List_Ofilter(_u18249, hAPP(hAPP(c_COMBC(_u18249, _u18248, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18248, tc_fun(_u18248, tc_HOL_Obool), _u18249), c_fequal), _u18250)), hAPP(_u18251, _u18252))), _u18252))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sorted__filter ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sorted__filter-1, axiom, ( ~class_Orderings_Olinorder(_u18253) | ~c_List_Olinorder__class_Osorted(_u18253, hAPP(hAPP(c_List_Omap(_u18254, _u18253), _u18255), _u18256)) | c_List_Olinorder__class_Osorted(_u18253, hAPP(hAPP(c_List_Omap(_u18254, _u18253), _u18255), hAPP(c_List_Ofilter(_u18254, _u18257), _u18256))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sorted__same ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sorted__same-1, axiom, ( ~class_Orderings_Olinorder(_u18258) | c_List_Olinorder__class_Osorted(_u18258, hAPP(c_List_Ofilter(_u18258, hAPP(hAPP(c_COMBC(_u18258, _u18258, tc_HOL_Obool), c_fequal), hAPP(_u18259, _u18260))), _u18260)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sorted__Cons ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sorted__Cons-1, axiom, ( ~class_Orderings_Olinorder(_u18263) | ~c_List_Olinorder__class_Osorted(_u18263, hAPP(hAPP(c_List_Olist_OCons(_u18263), _u18264), _u18265)) | c_List_Olinorder__class_Osorted(_u18263, _u18265) )).
% 20.36/20.58 cnf(fact_sorted__Cons-2, axiom, ( ~class_Orderings_Olinorder(_u18263) | ~c_List_Olinorder__class_Osorted(_u18263, hAPP(hAPP(c_List_Olist_OCons(_u18263), _u18264), _u18265)) | ~hBOOL(hAPP(hAPP(c_member(_u18263), _u18261), hAPP(c_List_Oset(_u18263), _u18265))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18263), _u18264), _u18261)) )).
% 20.36/20.58 cnf(fact_sorted__Cons-3, axiom, ( ~class_Orderings_Olinorder(_u18263) | c_List_Olinorder__class_Osorted(_u18263, hAPP(hAPP(c_List_Olist_OCons(_u18263), _u18264), _u18265)) | ~c_List_Olinorder__class_Osorted(_u18263, _u18265) | hBOOL(hAPP(hAPP(c_member(_u18263), skolem453(_u18265, _u18264, _u18263)), hAPP(c_List_Oset(_u18263), _u18265))) )).
% 20.36/20.58 cnf(fact_sorted__Cons-4, axiom, ( ~class_Orderings_Olinorder(_u18263) | c_List_Olinorder__class_Osorted(_u18263, hAPP(hAPP(c_List_Olist_OCons(_u18263), _u18264), _u18265)) | ~c_List_Olinorder__class_Osorted(_u18263, _u18265) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18263), _u18264), skolem453(_u18265, _u18264, _u18263))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sorted__append ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sorted__append-1, axiom, ( ~class_Orderings_Olinorder(_u18270) | ~c_List_Olinorder__class_Osorted(_u18270, hAPP(hAPP(c_List_Oappend(_u18270), _u18271), _u18272)) | c_List_Olinorder__class_Osorted(_u18270, _u18271) )).
% 20.36/20.58 cnf(fact_sorted__append-2, axiom, ( ~class_Orderings_Olinorder(_u18270) | ~c_List_Olinorder__class_Osorted(_u18270, hAPP(hAPP(c_List_Oappend(_u18270), _u18271), _u18272)) | c_List_Olinorder__class_Osorted(_u18270, _u18272) )).
% 20.36/20.58 cnf(fact_sorted__append-3, axiom, ( ~class_Orderings_Olinorder(_u18270) | ~c_List_Olinorder__class_Osorted(_u18270, hAPP(hAPP(c_List_Oappend(_u18270), _u18271), _u18272)) | ~hBOOL(hAPP(hAPP(c_member(_u18270), _u18267), hAPP(c_List_Oset(_u18270), _u18271))) | ~hBOOL(hAPP(hAPP(c_member(_u18270), _u18266), hAPP(c_List_Oset(_u18270), _u18272))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18270), _u18267), _u18266)) )).
% 20.36/20.58 cnf(fact_sorted__append-4, axiom, ( ~class_Orderings_Olinorder(_u18270) | c_List_Olinorder__class_Osorted(_u18270, hAPP(hAPP(c_List_Oappend(_u18270), _u18271), _u18272)) | ~c_List_Olinorder__class_Osorted(_u18270, _u18271) | ~c_List_Olinorder__class_Osorted(_u18270, _u18272) | hBOOL(hAPP(hAPP(c_member(_u18270), skolem454(_u18272, _u18271, _u18270)), hAPP(c_List_Oset(_u18270), _u18271))) )).
% 20.36/20.58 cnf(fact_sorted__append-5, axiom, ( ~class_Orderings_Olinorder(_u18270) | c_List_Olinorder__class_Osorted(_u18270, hAPP(hAPP(c_List_Oappend(_u18270), _u18271), _u18272)) | ~c_List_Olinorder__class_Osorted(_u18270, _u18271) | ~c_List_Olinorder__class_Osorted(_u18270, _u18272) | hBOOL(hAPP(hAPP(c_member(_u18270), skolem455(_u18272, _u18271, _u18270)), hAPP(c_List_Oset(_u18270), _u18272))) )).
% 20.36/20.58 cnf(fact_sorted__append-6, axiom, ( ~class_Orderings_Olinorder(_u18270) | c_List_Olinorder__class_Osorted(_u18270, hAPP(hAPP(c_List_Oappend(_u18270), _u18271), _u18272)) | ~c_List_Olinorder__class_Osorted(_u18270, _u18271) | ~c_List_Olinorder__class_Osorted(_u18270, _u18272) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18270), skolem454(_u18272, _u18271, _u18270)), skolem455(_u18272, _u18271, _u18270))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_filter__insort ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_filter__insort-1, axiom, ( ~class_Orderings_Olinorder(_u18273) | ~c_List_Olinorder__class_Osorted(_u18273, hAPP(hAPP(c_List_Omap(_u18274, _u18273), _u18275), _u18276)) | ~hBOOL(hAPP(_u18277, _u18278)) | ( hAPP(c_List_Ofilter(_u18274, _u18277), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18274, _u18273, _u18275), _u18278), _u18276)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18274, _u18273, _u18275), _u18278), hAPP(c_List_Ofilter(_u18274, _u18277), _u18276))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sorted_Oequations_I2_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sorted_Oequations_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u18281) | ~c_List_Olinorder__class_Osorted(_u18281, hAPP(hAPP(c_List_Olist_OCons(_u18281), _u18282), _u18283)) | ~hBOOL(hAPP(hAPP(c_member(_u18281), _u18279), hAPP(c_List_Oset(_u18281), _u18283))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18281), _u18282), _u18279)) )).
% 20.36/20.58 cnf(fact_sorted_Oequations_I2_J-2, axiom, ( ~class_Orderings_Olinorder(_u18281) | ~c_List_Olinorder__class_Osorted(_u18281, hAPP(hAPP(c_List_Olist_OCons(_u18281), _u18282), _u18283)) | c_List_Olinorder__class_Osorted(_u18281, _u18283) )).
% 20.36/20.58 cnf(fact_sorted_Oequations_I2_J-3, axiom, ( ~class_Orderings_Olinorder(_u18281) | c_List_Olinorder__class_Osorted(_u18281, hAPP(hAPP(c_List_Olist_OCons(_u18281), _u18282), _u18283)) | ~c_List_Olinorder__class_Osorted(_u18281, _u18283) | hBOOL(hAPP(hAPP(c_member(_u18281), skolem456(_u18283, _u18282, _u18281)), hAPP(c_List_Oset(_u18281), _u18283))) )).
% 20.36/20.58 cnf(fact_sorted_Oequations_I2_J-4, axiom, ( ~class_Orderings_Olinorder(_u18281) | c_List_Olinorder__class_Osorted(_u18281, hAPP(hAPP(c_List_Olist_OCons(_u18281), _u18282), _u18283)) | ~c_List_Olinorder__class_Osorted(_u18281, _u18283) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18281), _u18282), skolem456(_u18283, _u18282, _u18281))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sorted__list__of__set ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sorted__list__of__set-1, axiom, ( ~class_Orderings_Olinorder(_u18284) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18284), _u18285)) | ( hAPP(c_List_Oset(_u18284), c_List_Olinorder__class_Osorted__list__of__set(_u18284, _u18285)) = _u18285) )).
% 20.36/20.58 cnf(fact_sorted__list__of__set-2, axiom, ( ~class_Orderings_Olinorder(_u18284) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18284), _u18285)) | c_List_Olinorder__class_Osorted(_u18284, c_List_Olinorder__class_Osorted__list__of__set(_u18284, _u18285)) )).
% 20.36/20.58 cnf(fact_sorted__list__of__set-3, axiom, ( ~class_Orderings_Olinorder(_u18284) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18284), _u18285)) | hBOOL(hAPP(c_List_Odistinct(_u18284), c_List_Olinorder__class_Osorted__list__of__set(_u18284, _u18285))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_insort__remove1 ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_insort__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u18286) | ~hBOOL(hAPP(hAPP(c_member(_u18286), _u18287), hAPP(c_List_Oset(_u18286), _u18288))) | ~c_List_Olinorder__class_Osorted(_u18286, _u18288) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18286, _u18286, c_COMBI(_u18286)), _u18287), c_List_Oremove1(_u18286, _u18287, _u18288)) = _u18288) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sorted__nth__mono ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sorted__nth__mono-1, axiom, ( ~class_Orderings_Olinorder(_u18289) | ~c_List_Olinorder__class_Osorted(_u18289, _u18290) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18291), _u18292)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18292), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18289)), _u18290))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18289), hAPP(hAPP(c_List_Onth(_u18289), _u18290), _u18291)), hAPP(hAPP(c_List_Onth(_u18289), _u18290), _u18292))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sorted__equals__nth__mono ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sorted__equals__nth__mono-1, axiom, ( ~class_Orderings_Olinorder(_u18297) | ~c_List_Olinorder__class_Osorted(_u18297, _u18298) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18294), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18297)), _u18298))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18293), _u18294)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18297), hAPP(hAPP(c_List_Onth(_u18297), _u18298), _u18293)), hAPP(hAPP(c_List_Onth(_u18297), _u18298), _u18294))) )).
% 20.36/20.58 cnf(fact_sorted__equals__nth__mono-2, axiom, ( ~class_Orderings_Olinorder(_u18297) | c_List_Olinorder__class_Osorted(_u18297, _u18298) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem457(_u18298, _u18297)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18297)), _u18298))) )).
% 20.36/20.58 cnf(fact_sorted__equals__nth__mono-3, axiom, ( ~class_Orderings_Olinorder(_u18297) | c_List_Olinorder__class_Osorted(_u18297, _u18298) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem458(_u18298, _u18297)), skolem457(_u18298, _u18297))) )).
% 20.36/20.58 cnf(fact_sorted__equals__nth__mono-4, axiom, ( ~class_Orderings_Olinorder(_u18297) | c_List_Olinorder__class_Osorted(_u18297, _u18298) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18297), hAPP(hAPP(c_List_Onth(_u18297), _u18298), skolem458(_u18298, _u18297))), hAPP(hAPP(c_List_Onth(_u18297), _u18298), skolem457(_u18298, _u18297)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_map__sorted__distinct__set__unique ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_map__sorted__distinct__set__unique-1, axiom, ( ~class_Orderings_Olinorder(_u18299) | ~c_Fun_Oinj__on(_u18300, _u18299, _u18301, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18300, tc_HOL_Obool)), hAPP(c_List_Oset(_u18300), _u18302)), hAPP(c_List_Oset(_u18300), _u18303))) | ~c_List_Olinorder__class_Osorted(_u18299, hAPP(hAPP(c_List_Omap(_u18300, _u18299), _u18301), _u18302)) | ~hBOOL(hAPP(c_List_Odistinct(_u18299), hAPP(hAPP(c_List_Omap(_u18300, _u18299), _u18301), _u18302))) | ~c_List_Olinorder__class_Osorted(_u18299, hAPP(hAPP(c_List_Omap(_u18300, _u18299), _u18301), _u18303)) | ~hBOOL(hAPP(c_List_Odistinct(_u18299), hAPP(hAPP(c_List_Omap(_u18300, _u18299), _u18301), _u18303))) | ( hAPP(c_List_Oset(_u18300), _u18302) != hAPP(c_List_Oset(_u18300), _u18303)) | ( _u18302 = _u18303) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_transpose__column ( axiom ) converted to clauses:
% 20.36/20.58 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(_u18304), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18304))), _u18305))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18306), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18304))), _u18305))) | ( hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18304), _u18304), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18304), tc_Nat_Onat, _u18304), c_List_Onth(_u18304)), _u18306)), hAPP(c_List_Ofilter(tc_List_Olist(_u18304), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18304)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18306)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18304)))), c_List_Otranspose(_u18304, _u18305))) = hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18304)), _u18305), _u18306)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_nth__nth__transpose__sorted ( axiom ) converted to clauses:
% 20.36/20.58 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(_u18307), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18307))), _u18308))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18309), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18307))), c_List_Otranspose(_u18307, _u18308)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18310), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18307))), hAPP(c_List_Ofilter(tc_List_Olist(_u18307), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18307)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18309)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18307)))), _u18308)))) | ( hAPP(hAPP(c_List_Onth(_u18307), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18307)), c_List_Otranspose(_u18307, _u18308)), _u18309)), _u18310) = hAPP(hAPP(c_List_Onth(_u18307), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18307)), _u18308), _u18310)), _u18309)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_inj__on__rev ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_inj__on__rev-1, axiom, ( c_Fun_Oinj__on(tc_List_Olist(_u18311), tc_List_Olist(_u18311), c_List_Orev(_u18311), _u18312) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_distinct__rev ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_distinct__rev-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18315), hAPP(c_List_Orev(_u18315), _u18317))) | hBOOL(hAPP(c_List_Odistinct(_u18315), _u18317)) )).
% 20.36/20.58 cnf(fact_distinct__rev-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18316), _u18318)) | hBOOL(hAPP(c_List_Odistinct(_u18316), hAPP(c_List_Orev(_u18316), _u18318))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_rev__is__Nil__conv ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_rev__is__Nil__conv-1, axiom, ( ( hAPP(c_List_Orev(_u18321), _u18323) != c_List_Olist_ONil(_u18321)) | ( _u18323 = c_List_Olist_ONil(_u18321)) )).
% 20.36/20.58 cnf(fact_rev__is__Nil__conv-2, axiom, ( ( _u18324 != c_List_Olist_ONil(_u18322)) | ( hAPP(c_List_Orev(_u18322), _u18324) = c_List_Olist_ONil(_u18322)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_Nil__is__rev__conv ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_Nil__is__rev__conv-1, axiom, ( ( c_List_Olist_ONil(_u18327) != hAPP(c_List_Orev(_u18327), _u18329)) | ( _u18329 = c_List_Olist_ONil(_u18327)) )).
% 20.36/20.58 cnf(fact_Nil__is__rev__conv-2, axiom, ( ( _u18330 != c_List_Olist_ONil(_u18328)) | ( c_List_Olist_ONil(_u18328) = hAPP(c_List_Orev(_u18328), _u18330)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_rev_Osimps_I1_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_rev_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Orev(_u18331), c_List_Olist_ONil(_u18331)) = c_List_Olist_ONil(_u18331)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_singleton__rev__conv ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_singleton__rev__conv-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18335), _u18337), c_List_Olist_ONil(_u18335)) != hAPP(c_List_Orev(_u18335), _u18339)) | ( _u18339 = hAPP(hAPP(c_List_Olist_OCons(_u18335), _u18337), c_List_Olist_ONil(_u18335))) )).
% 20.36/20.58 cnf(fact_singleton__rev__conv-2, axiom, ( ( _u18340 != hAPP(hAPP(c_List_Olist_OCons(_u18336), _u18338), c_List_Olist_ONil(_u18336))) | ( hAPP(hAPP(c_List_Olist_OCons(_u18336), _u18338), c_List_Olist_ONil(_u18336)) = hAPP(c_List_Orev(_u18336), _u18340)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_rev__singleton__conv ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_rev__singleton__conv-1, axiom, ( ( hAPP(c_List_Orev(_u18344), _u18346) != hAPP(hAPP(c_List_Olist_OCons(_u18344), _u18348), c_List_Olist_ONil(_u18344))) | ( _u18346 = hAPP(hAPP(c_List_Olist_OCons(_u18344), _u18348), c_List_Olist_ONil(_u18344))) )).
% 20.36/20.58 cnf(fact_rev__singleton__conv-2, axiom, ( ( _u18347 != hAPP(hAPP(c_List_Olist_OCons(_u18345), _u18349), c_List_Olist_ONil(_u18345))) | ( hAPP(c_List_Orev(_u18345), _u18347) = hAPP(hAPP(c_List_Olist_OCons(_u18345), _u18349), c_List_Olist_ONil(_u18345))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_rev__append ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_rev__append-1, axiom, ( ( hAPP(c_List_Orev(_u18350), hAPP(hAPP(c_List_Oappend(_u18350), _u18351), _u18352)) = hAPP(hAPP(c_List_Oappend(_u18350), hAPP(c_List_Orev(_u18350), _u18352)), hAPP(c_List_Orev(_u18350), _u18351))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_rev__concat ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_rev__concat-1, axiom, ( ( hAPP(c_List_Orev(_u18353), c_List_Oconcat(_u18353, _u18354)) = c_List_Oconcat(_u18353, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18353), tc_List_Olist(_u18353)), c_List_Orev(_u18353)), hAPP(c_List_Orev(tc_List_Olist(_u18353)), _u18354)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_rev__map ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_rev__map-1, axiom, ( ( hAPP(c_List_Orev(_u18355), hAPP(hAPP(c_List_Omap(_u18356, _u18355), _u18357), _u18358)) = hAPP(hAPP(c_List_Omap(_u18356, _u18355), _u18357), hAPP(c_List_Orev(_u18356), _u18358))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_rev__filter ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_rev__filter-1, axiom, ( ( hAPP(c_List_Orev(_u18359), hAPP(c_List_Ofilter(_u18359, _u18360), _u18361)) = hAPP(c_List_Ofilter(_u18359, _u18360), hAPP(c_List_Orev(_u18359), _u18361))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_zip__rev ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_zip__rev-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18362)), _u18363) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18364)), _u18365)) | ( hAPP(hAPP(c_List_Ozip(_u18362, _u18364), hAPP(c_List_Orev(_u18362), _u18363)), hAPP(c_List_Orev(_u18364), _u18365)) = hAPP(c_List_Orev(tc_prod(_u18362, _u18364)), hAPP(hAPP(c_List_Ozip(_u18362, _u18364), _u18363), _u18365))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_set__rev ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_set__rev-1, axiom, ( ( hAPP(c_List_Oset(_u18366), hAPP(c_List_Orev(_u18366), _u18367)) = hAPP(c_List_Oset(_u18366), _u18367)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_list__all2__rev ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_list__all2__rev-1, axiom, ( ~c_List_Olist__all2(_u18373, _u18375, _u18377, hAPP(c_List_Orev(_u18373), _u18379), hAPP(c_List_Orev(_u18375), _u18381)) | c_List_Olist__all2(_u18373, _u18375, _u18377, _u18379, _u18381) )).
% 20.36/20.58 cnf(fact_list__all2__rev-2, axiom, ( ~c_List_Olist__all2(_u18374, _u18376, _u18378, _u18380, _u18382) | c_List_Olist__all2(_u18374, _u18376, _u18378, hAPP(c_List_Orev(_u18374), _u18380), hAPP(c_List_Orev(_u18376), _u18382)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_list__all2__rev1 ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_list__all2__rev1-1, axiom, ( ~c_List_Olist__all2(_u18388, _u18390, _u18392, hAPP(c_List_Orev(_u18388), _u18394), _u18396) | c_List_Olist__all2(_u18388, _u18390, _u18392, _u18394, hAPP(c_List_Orev(_u18390), _u18396)) )).
% 20.36/20.58 cnf(fact_list__all2__rev1-2, axiom, ( ~c_List_Olist__all2(_u18389, _u18391, _u18393, _u18395, hAPP(c_List_Orev(_u18391), _u18397)) | c_List_Olist__all2(_u18389, _u18391, _u18393, hAPP(c_List_Orev(_u18389), _u18395), _u18397) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_rev__rev__ident ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_rev__rev__ident-1, axiom, ( ( hAPP(c_List_Orev(_u18398), hAPP(c_List_Orev(_u18398), _u18399)) = _u18399) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_rev__swap ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_rev__swap-1, axiom, ( ( hAPP(c_List_Orev(_u18403), _u18405) != _u18407) | ( _u18405 = hAPP(c_List_Orev(_u18403), _u18407)) )).
% 20.36/20.58 cnf(fact_rev__swap-2, axiom, ( ( _u18406 != hAPP(c_List_Orev(_u18404), _u18408)) | ( hAPP(c_List_Orev(_u18404), _u18406) = _u18408) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_rev__is__rev__conv ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_rev__is__rev__conv-1, axiom, ( ( _u18414 = _u18416) | ( hAPP(c_List_Orev(_u18412), _u18414) != hAPP(c_List_Orev(_u18412), _u18416)) )).
% 20.36/20.58 cnf(fact_rev__is__rev__conv-2, axiom, ( ( _u18415 != _u18417) | ( hAPP(c_List_Orev(_u18413), _u18415) = hAPP(c_List_Orev(_u18413), _u18417)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_listsum__rev ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_listsum__rev-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18418) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18418), hAPP(c_List_Orev(_u18418), _u18419)) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18418), _u18419)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_length__rev ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_length__rev-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18420)), hAPP(c_List_Orev(_u18420), _u18421)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18420)), _u18421)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_foldl__foldr ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_foldl__foldr-1, axiom, ( ( hAPP(c_List_Ofoldl(_u18422, _u18423, _u18424, _u18425), _u18426) = c_List_Ofoldr(_u18423, _u18422, hAPP(c_COMBC(_u18422, _u18423, _u18422), _u18424), hAPP(c_List_Orev(_u18423), _u18426), _u18425)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_foldr__foldl ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_foldr__foldl-1, axiom, ( ( c_List_Ofoldr(_u18427, _u18428, _u18429, _u18430, _u18431) = hAPP(c_List_Ofoldl(_u18428, _u18427, hAPP(c_COMBC(_u18427, _u18428, _u18428), _u18429), _u18431), hAPP(c_List_Orev(_u18427), _u18430))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_rev__eq__Cons__iff ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_rev__eq__Cons__iff-1, axiom, ( ( hAPP(c_List_Orev(_u18436), _u18438) != hAPP(hAPP(c_List_Olist_OCons(_u18436), _u18440), _u18442)) | ( _u18438 = hAPP(hAPP(c_List_Oappend(_u18436), hAPP(c_List_Orev(_u18436), _u18442)), hAPP(hAPP(c_List_Olist_OCons(_u18436), _u18440), c_List_Olist_ONil(_u18436)))) )).
% 20.36/20.58 cnf(fact_rev__eq__Cons__iff-2, axiom, ( ( _u18439 != hAPP(hAPP(c_List_Oappend(_u18437), hAPP(c_List_Orev(_u18437), _u18443)), hAPP(hAPP(c_List_Olist_OCons(_u18437), _u18441), c_List_Olist_ONil(_u18437)))) | ( hAPP(c_List_Orev(_u18437), _u18439) = hAPP(hAPP(c_List_Olist_OCons(_u18437), _u18441), _u18443)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_rev_Osimps_I2_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_rev_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Orev(_u18444), hAPP(hAPP(c_List_Olist_OCons(_u18444), _u18445), _u18446)) = hAPP(hAPP(c_List_Oappend(_u18444), hAPP(c_List_Orev(_u18444), _u18446)), hAPP(hAPP(c_List_Olist_OCons(_u18444), _u18445), c_List_Olist_ONil(_u18444)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_hd__rev ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_hd__rev-1, axiom, ( ( _u18447 = c_List_Olist_ONil(_u18448)) | ( hAPP(c_List_Ohd(_u18448), hAPP(c_List_Orev(_u18448), _u18447)) = c_List_Olast(_u18448, _u18447)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_last__rev ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_last__rev-1, axiom, ( ( _u18449 = c_List_Olist_ONil(_u18450)) | ( c_List_Olast(_u18450, hAPP(c_List_Orev(_u18450), _u18449)) = hAPP(c_List_Ohd(_u18450), _u18449)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sorted__transpose ( axiom ) converted to clauses:
% 20.36/20.58 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(_u18451), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18451))), c_List_Otranspose(_u18451, _u18452)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_rev__foldl__cons ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_rev__foldl__cons-1, axiom, ( ( hAPP(c_List_Orev(_u18453), _u18454) = hAPP(c_List_Ofoldl(tc_List_Olist(_u18453), _u18453, hAPP(c_COMBC(_u18453, tc_List_Olist(_u18453), tc_List_Olist(_u18453)), c_List_Olist_OCons(_u18453)), c_List_Olist_ONil(_u18453)), _u18454)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_rev__drop ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_rev__drop-1, axiom, ( ( hAPP(c_List_Orev(_u18455), hAPP(hAPP(c_List_Odrop(_u18455), _u18456), _u18457)) = hAPP(hAPP(c_List_Otake(_u18455), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18455)), _u18457)), _u18456)), hAPP(c_List_Orev(_u18455), _u18457))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_rev__take ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_rev__take-1, axiom, ( ( hAPP(c_List_Orev(_u18458), hAPP(hAPP(c_List_Otake(_u18458), _u18459), _u18460)) = hAPP(hAPP(c_List_Odrop(_u18458), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18458)), _u18460)), _u18459)), hAPP(c_List_Orev(_u18458), _u18460))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_rotate__rev ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_rotate__rev-1, axiom, ( ( hAPP(c_List_Orotate(_u18461, _u18462), hAPP(c_List_Orev(_u18461), _u18463)) = hAPP(c_List_Orev(_u18461), hAPP(c_List_Orotate(_u18461, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18461)), _u18463)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u18462, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18461)), _u18463)))), _u18463))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_rev__nth ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_rev__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18464), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18465)), _u18466))) | ( hAPP(hAPP(c_List_Onth(_u18465), hAPP(c_List_Orev(_u18465), _u18466)), _u18464) = hAPP(hAPP(c_List_Onth(_u18465), _u18466), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18465)), _u18466)), hAPP(c_Nat_OSuc, _u18464)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_rev__update ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_rev__update-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18467), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18468)), _u18469))) | ( hAPP(c_List_Orev(_u18468), hAPP(hAPP(c_List_Olist__update(_u18468, _u18469), _u18467), _u18470)) = hAPP(hAPP(c_List_Olist__update(_u18468, hAPP(c_List_Orev(_u18468), _u18469)), 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(_u18468)), _u18469)), _u18467)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u18470)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sorted__rev__nth__mono ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sorted__rev__nth__mono-1, axiom, ( ~class_Orderings_Olinorder(_u18471) | ~c_List_Olinorder__class_Osorted(_u18471, hAPP(c_List_Orev(_u18471), _u18472)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18473), _u18474)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18474), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18471)), _u18472))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18471), hAPP(hAPP(c_List_Onth(_u18471), _u18472), _u18474)), hAPP(hAPP(c_List_Onth(_u18471), _u18472), _u18473))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_foldr__max__sorted ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_foldr__max__sorted-1, axiom, ( ~class_Orderings_Olinorder(_u18475) | ~c_List_Olinorder__class_Osorted(_u18475, hAPP(c_List_Orev(_u18475), _u18476)) | ( _u18476 != c_List_Olist_ONil(_u18475)) | ( c_List_Ofoldr(_u18475, _u18475, c_Orderings_Oord__class_Omax(_u18475), _u18476, _u18477) = _u18477) )).
% 20.36/20.58 cnf(fact_foldr__max__sorted-2, axiom, ( ~class_Orderings_Olinorder(_u18475) | ~c_List_Olinorder__class_Osorted(_u18475, hAPP(c_List_Orev(_u18475), _u18476)) | ( _u18476 = c_List_Olist_ONil(_u18475)) | ( c_List_Ofoldr(_u18475, _u18475, c_Orderings_Oord__class_Omax(_u18475), _u18476, _u18477) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u18475), hAPP(hAPP(c_List_Onth(_u18475), _u18476), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u18477)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_length__transpose__sorted ( axiom ) converted to clauses:
% 20.36/20.58 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(_u18478), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18478))), _u18479))) | ( _u18479 != c_List_Olist_ONil(tc_List_Olist(_u18478))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18478))), c_List_Otranspose(_u18478, _u18479)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.58 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(_u18478), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18478))), _u18479))) | ( _u18479 = c_List_Olist_ONil(tc_List_Olist(_u18478))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18478))), c_List_Otranspose(_u18478, _u18479)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18478)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18478)), _u18479), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_transpose__column__length ( axiom ) converted to clauses:
% 20.36/20.58 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(_u18480), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18480))), _u18481))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18482), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18480))), _u18481))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18480))), hAPP(c_List_Ofilter(tc_List_Olist(_u18480), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18480)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18482)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18480)))), c_List_Otranspose(_u18480, _u18481))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18480)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18480)), _u18481), _u18482))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_transpose__transpose ( axiom ) converted to clauses:
% 20.36/20.58 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(_u18483), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18483))), _u18484))) | ( c_List_Otranspose(_u18483, c_List_Otranspose(_u18483, _u18484)) = c_List_OtakeWhile(tc_List_Olist(_u18483), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18483)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18483), tc_List_Olist(_u18483), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u18483))), _u18484)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_transfer__nat__int__list__functions_I2_J ( axiom ) converted to clauses:
% 20.36/20.58 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))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sorted__takeWhile ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sorted__takeWhile-1, axiom, ( ~class_Orderings_Olinorder(_u18485) | ~c_List_Olinorder__class_Osorted(_u18485, _u18486) | c_List_Olinorder__class_Osorted(_u18485, c_List_OtakeWhile(_u18485, _u18487, _u18486)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_length__takeWhile__le ( axiom ) converted to clauses:
% 20.36/20.58 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(_u18488)), c_List_OtakeWhile(_u18488, _u18489, _u18490))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18488)), _u18490))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_takeWhile__eq__all__conv ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_takeWhile__eq__all__conv-1, axiom, ( ( c_List_OtakeWhile(_u18496, _u18498, _u18500) != _u18500) | ~hBOOL(hAPP(hAPP(c_member(_u18496), _u18491), hAPP(c_List_Oset(_u18496), _u18500))) | hBOOL(hAPP(_u18498, _u18491)) )).
% 20.36/20.58 cnf(fact_takeWhile__eq__all__conv-2, axiom, ( ( c_List_OtakeWhile(_u18497, _u18499, _u18501) = _u18501) | hBOOL(hAPP(hAPP(c_member(_u18497), skolem459(_u18501, _u18499, _u18497)), hAPP(c_List_Oset(_u18497), _u18501))) )).
% 20.36/20.58 cnf(fact_takeWhile__eq__all__conv-3, axiom, ( ( c_List_OtakeWhile(_u18497, _u18499, _u18501) = _u18501) | ~hBOOL(hAPP(_u18499, skolem459(_u18501, _u18499, _u18497))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_set__takeWhileD ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_set__takeWhileD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18502), _u18503), hAPP(c_List_Oset(_u18502), c_List_OtakeWhile(_u18502, _u18504, _u18505)))) | hBOOL(hAPP(hAPP(c_member(_u18502), _u18503), hAPP(c_List_Oset(_u18502), _u18505))) )).
% 20.36/20.58 cnf(fact_set__takeWhileD-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18502), _u18503), hAPP(c_List_Oset(_u18502), c_List_OtakeWhile(_u18502, _u18504, _u18505)))) | hBOOL(hAPP(_u18504, _u18503)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_zip__takeWhile__snd ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_zip__takeWhile__snd-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u18506, _u18507), _u18508), c_List_OtakeWhile(_u18507, _u18509, _u18510)) = c_List_OtakeWhile(tc_prod(_u18506, _u18507), hAPP(c_Fun_Ocomp(_u18507, tc_HOL_Obool, tc_prod(_u18506, _u18507), _u18509), c_Product__Type_Osnd(_u18506, _u18507)), hAPP(hAPP(c_List_Ozip(_u18506, _u18507), _u18508), _u18510))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_zip__takeWhile__fst ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_zip__takeWhile__fst-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u18511, _u18512), c_List_OtakeWhile(_u18511, _u18513, _u18514)), _u18515) = c_List_OtakeWhile(tc_prod(_u18511, _u18512), hAPP(c_Fun_Ocomp(_u18511, tc_HOL_Obool, tc_prod(_u18511, _u18512), _u18513), c_Product__Type_Ofst(_u18511, _u18512)), hAPP(hAPP(c_List_Ozip(_u18511, _u18512), _u18514), _u18515))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_takeWhile__map ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_takeWhile__map-1, axiom, ( ( c_List_OtakeWhile(_u18516, _u18517, hAPP(hAPP(c_List_Omap(_u18518, _u18516), _u18519), _u18520)) = hAPP(hAPP(c_List_Omap(_u18518, _u18516), _u18519), c_List_OtakeWhile(_u18518, hAPP(c_Fun_Ocomp(_u18516, tc_HOL_Obool, _u18518, _u18517), _u18519), _u18520))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_takeWhile__tail ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_takeWhile__tail-1, axiom, ( hBOOL(hAPP(_u18521, _u18522)) | ( c_List_OtakeWhile(_u18523, _u18521, hAPP(hAPP(c_List_Oappend(_u18523), _u18524), hAPP(hAPP(c_List_Olist_OCons(_u18523), _u18522), _u18525))) = c_List_OtakeWhile(_u18523, _u18521, _u18524)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_takeWhile_Osimps_I2_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_takeWhile_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(_u18530, _u18532)) | ( c_List_OtakeWhile(_u18534, _u18530, hAPP(hAPP(c_List_Olist_OCons(_u18534), _u18532), _u18536)) = hAPP(hAPP(c_List_Olist_OCons(_u18534), _u18532), c_List_OtakeWhile(_u18534, _u18530, _u18536))) )).
% 20.36/20.58 cnf(fact_takeWhile_Osimps_I2_J-2, axiom, ( hBOOL(hAPP(_u18531, _u18533)) | ( c_List_OtakeWhile(_u18535, _u18531, hAPP(hAPP(c_List_Olist_OCons(_u18535), _u18533), _u18537)) = c_List_Olist_ONil(_u18535)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_takeWhile_Osimps_I1_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_takeWhile_Osimps_I1_J-1, axiom, ( ( c_List_OtakeWhile(_u18538, _u18539, c_List_Olist_ONil(_u18538)) = c_List_Olist_ONil(_u18538)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_takeWhile__eq__take ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_takeWhile__eq__take-1, axiom, ( ( c_List_OtakeWhile(_u18540, _u18541, _u18542) = hAPP(hAPP(c_List_Otake(_u18540), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18540)), c_List_OtakeWhile(_u18540, _u18541, _u18542))), _u18542)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_distinct__takeWhile ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_distinct__takeWhile-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18543), _u18544)) | hBOOL(hAPP(c_List_Odistinct(_u18543), c_List_OtakeWhile(_u18543, _u18545, _u18544))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_return__list__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_return__list__def-1, axiom, ( ( c_List_Oreturn__list(_u18546) = hAPP(hAPP(c_List_Omap(tc_Int_Oint, tc_Nat_Onat), c_Int_Onat), _u18546)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_takeWhile__append1 ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_takeWhile__append1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18547), _u18548), hAPP(c_List_Oset(_u18547), _u18549))) | hBOOL(hAPP(_u18550, _u18548)) | ( c_List_OtakeWhile(_u18547, _u18550, hAPP(hAPP(c_List_Oappend(_u18547), _u18549), _u18551)) = c_List_OtakeWhile(_u18547, _u18550, _u18549)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_takeWhile__nth ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_takeWhile__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18552), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18553)), c_List_OtakeWhile(_u18553, _u18554, _u18555)))) | ( hAPP(hAPP(c_List_Onth(_u18553), c_List_OtakeWhile(_u18553, _u18554, _u18555)), _u18552) = hAPP(hAPP(c_List_Onth(_u18553), _u18555), _u18552)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_nth__length__takeWhile ( axiom ) converted to clauses:
% 20.36/20.58 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(_u18556)), c_List_OtakeWhile(_u18556, _u18557, _u18558))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18556)), _u18558))) | ~hBOOL(hAPP(_u18557, hAPP(hAPP(c_List_Onth(_u18556), _u18558), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18556)), c_List_OtakeWhile(_u18556, _u18557, _u18558))))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_takeWhile__not__last ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_takeWhile__not__last-1, axiom, ( ( _u18559 = c_List_Olist_ONil(_u18560)) | ~hBOOL(hAPP(c_List_Odistinct(_u18560), _u18559)) | ( c_List_OtakeWhile(_u18560, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18560), c_fNot), hAPP(hAPP(c_COMBC(_u18560, _u18560, tc_HOL_Obool), c_fequal), c_List_Olast(_u18560, _u18559))), _u18559) = c_List_Obutlast(_u18560, _u18559)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_filter__equals__takeWhile__sorted__rev ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_filter__equals__takeWhile__sorted__rev-1, axiom, ( ~class_Orderings_Olinorder(_u18561) | ~c_List_Olinorder__class_Osorted(_u18561, hAPP(c_List_Orev(_u18561), hAPP(hAPP(c_List_Omap(_u18562, _u18561), _u18563), _u18564))) | ( hAPP(c_List_Ofilter(_u18562, hAPP(hAPP(c_COMBB(_u18561, tc_HOL_Obool, _u18562), hAPP(c_Orderings_Oord__class_Oless(_u18561), _u18565)), _u18563)), _u18564) = c_List_OtakeWhile(_u18562, hAPP(hAPP(c_COMBB(_u18561, tc_HOL_Obool, _u18562), hAPP(c_Orderings_Oord__class_Oless(_u18561), _u18565)), _u18563), _u18564)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_transfer__nat__int__list__return__embed ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_transfer__nat__int__list__return__embed-1, axiom, ( ~c_List_Onat__list(_u18566) | ( c_List_Oembed__list(c_List_Oreturn__list(_u18566)) = _u18566) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_transfer__nat__int__list__functions_I1_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_transfer__nat__int__list__functions_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), _u18567), _u18568) = c_List_Oreturn__list(hAPP(hAPP(c_List_Oappend(tc_Int_Oint), c_List_Oembed__list(_u18567)), c_List_Oembed__list(_u18568)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_embed__list__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_embed__list__def-1, axiom, ( ( c_List_Oembed__list(_u18569) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Int_Oint), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u18569)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_takeWhile__neq__rev ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_takeWhile__neq__rev-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18570), _u18571)) | ~hBOOL(hAPP(hAPP(c_member(_u18570), _u18572), hAPP(c_List_Oset(_u18570), _u18571))) | ( c_List_OtakeWhile(_u18570, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18570), c_fNot), hAPP(hAPP(c_COMBC(_u18570, _u18570, tc_HOL_Obool), c_fequal), _u18572)), hAPP(c_List_Orev(_u18570), _u18571)) = hAPP(c_List_Orev(_u18570), hAPP(c_List_Otl(_u18570), c_List_OdropWhile(_u18570, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18570), c_fNot), hAPP(hAPP(c_COMBC(_u18570, _u18570, tc_HOL_Obool), c_fequal), _u18572)), _u18571)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_dropWhile__neq__rev ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_dropWhile__neq__rev-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18573), _u18574)) | ~hBOOL(hAPP(hAPP(c_member(_u18573), _u18575), hAPP(c_List_Oset(_u18573), _u18574))) | ( c_List_OdropWhile(_u18573, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18573), c_fNot), hAPP(hAPP(c_COMBC(_u18573, _u18573, tc_HOL_Obool), c_fequal), _u18575)), hAPP(c_List_Orev(_u18573), _u18574)) = hAPP(hAPP(c_List_Olist_OCons(_u18573), _u18575), hAPP(c_List_Orev(_u18573), c_List_OtakeWhile(_u18573, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18573), c_fNot), hAPP(hAPP(c_COMBC(_u18573, _u18573, tc_HOL_Obool), c_fequal), _u18575)), _u18574)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_takeWhile__dropWhile__id ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_takeWhile__dropWhile__id-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18576), c_List_OtakeWhile(_u18576, _u18577, _u18578)), c_List_OdropWhile(_u18576, _u18577, _u18578)) = _u18578) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sorted__dropWhile ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sorted__dropWhile-1, axiom, ( ~class_Orderings_Olinorder(_u18579) | ~c_List_Olinorder__class_Osorted(_u18579, _u18580) | c_List_Olinorder__class_Osorted(_u18579, c_List_OdropWhile(_u18579, _u18581, _u18580)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_length__dropWhile__le ( axiom ) converted to clauses:
% 20.36/20.58 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(_u18582)), c_List_OdropWhile(_u18582, _u18583, _u18584))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18582)), _u18584))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_dropWhile__eq__Nil__conv ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_dropWhile__eq__Nil__conv-1, axiom, ( ( c_List_OdropWhile(_u18590, _u18592, _u18594) != c_List_Olist_ONil(_u18590)) | ~hBOOL(hAPP(hAPP(c_member(_u18590), _u18585), hAPP(c_List_Oset(_u18590), _u18594))) | hBOOL(hAPP(_u18592, _u18585)) )).
% 20.36/20.58 cnf(fact_dropWhile__eq__Nil__conv-2, axiom, ( ( c_List_OdropWhile(_u18591, _u18593, _u18595) = c_List_Olist_ONil(_u18591)) | hBOOL(hAPP(hAPP(c_member(_u18591), skolem460(_u18595, _u18593, _u18591)), hAPP(c_List_Oset(_u18591), _u18595))) )).
% 20.36/20.58 cnf(fact_dropWhile__eq__Nil__conv-3, axiom, ( ( c_List_OdropWhile(_u18591, _u18593, _u18595) = c_List_Olist_ONil(_u18591)) | ~hBOOL(hAPP(_u18593, skolem460(_u18595, _u18593, _u18591))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_dropWhile_Osimps_I2_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_dropWhile_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(_u18600, _u18602)) | ( c_List_OdropWhile(_u18604, _u18600, hAPP(hAPP(c_List_Olist_OCons(_u18604), _u18602), _u18606)) = c_List_OdropWhile(_u18604, _u18600, _u18606)) )).
% 20.36/20.58 cnf(fact_dropWhile_Osimps_I2_J-2, axiom, ( hBOOL(hAPP(_u18601, _u18603)) | ( c_List_OdropWhile(_u18605, _u18601, hAPP(hAPP(c_List_Olist_OCons(_u18605), _u18603), _u18607)) = hAPP(hAPP(c_List_Olist_OCons(_u18605), _u18603), _u18607)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_dropWhile_Osimps_I1_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_dropWhile_Osimps_I1_J-1, axiom, ( ( c_List_OdropWhile(_u18608, _u18609, c_List_Olist_ONil(_u18608)) = c_List_Olist_ONil(_u18608)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_distinct__dropWhile ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_distinct__dropWhile-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18610), _u18611)) | hBOOL(hAPP(c_List_Odistinct(_u18610), c_List_OdropWhile(_u18610, _u18612, _u18611))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_hd__dropWhile ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_hd__dropWhile-1, axiom, ( ( c_List_OdropWhile(_u18613, _u18614, _u18615) = c_List_Olist_ONil(_u18613)) | ~hBOOL(hAPP(_u18614, hAPP(c_List_Ohd(_u18613), c_List_OdropWhile(_u18613, _u18614, _u18615)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_dropWhile__map ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_dropWhile__map-1, axiom, ( ( c_List_OdropWhile(_u18616, _u18617, hAPP(hAPP(c_List_Omap(_u18618, _u18616), _u18619), _u18620)) = hAPP(hAPP(c_List_Omap(_u18618, _u18616), _u18619), c_List_OdropWhile(_u18618, hAPP(c_Fun_Ocomp(_u18616, tc_HOL_Obool, _u18618, _u18617), _u18619), _u18620))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_dropWhile__append1 ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_dropWhile__append1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18621), _u18622), hAPP(c_List_Oset(_u18621), _u18623))) | hBOOL(hAPP(_u18624, _u18622)) | ( c_List_OdropWhile(_u18621, _u18624, hAPP(hAPP(c_List_Oappend(_u18621), _u18623), _u18625)) = hAPP(hAPP(c_List_Oappend(_u18621), c_List_OdropWhile(_u18621, _u18624, _u18623)), _u18625)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_dropWhile__eq__Cons__conv ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_dropWhile__eq__Cons__conv-1, axiom, ( ( c_List_OdropWhile(_u18631, _u18633, _u18635) != hAPP(hAPP(c_List_Olist_OCons(_u18631), _u18637), _u18639)) | ( _u18635 = hAPP(hAPP(c_List_Oappend(_u18631), c_List_OtakeWhile(_u18631, _u18633, _u18635)), hAPP(hAPP(c_List_Olist_OCons(_u18631), _u18637), _u18639))) )).
% 20.36/20.58 cnf(fact_dropWhile__eq__Cons__conv-2, axiom, ( ( c_List_OdropWhile(_u18631, _u18633, _u18635) != hAPP(hAPP(c_List_Olist_OCons(_u18631), _u18637), _u18639)) | ~hBOOL(hAPP(_u18633, _u18637)) )).
% 20.36/20.58 cnf(fact_dropWhile__eq__Cons__conv-3, axiom, ( ( _u18636 != hAPP(hAPP(c_List_Oappend(_u18632), c_List_OtakeWhile(_u18632, _u18634, _u18636)), hAPP(hAPP(c_List_Olist_OCons(_u18632), _u18638), _u18640))) | hBOOL(hAPP(_u18634, _u18638)) | ( c_List_OdropWhile(_u18632, _u18634, _u18636) = hAPP(hAPP(c_List_Olist_OCons(_u18632), _u18638), _u18640)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_dropWhile__eq__drop ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_dropWhile__eq__drop-1, axiom, ( ( c_List_OdropWhile(_u18641, _u18642, _u18643) = hAPP(hAPP(c_List_Odrop(_u18641), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18641)), c_List_OtakeWhile(_u18641, _u18642, _u18643))), _u18643)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_dropWhile__nth ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_dropWhile__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18644), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18645)), c_List_OdropWhile(_u18645, _u18646, _u18647)))) | ( hAPP(hAPP(c_List_Onth(_u18645), c_List_OdropWhile(_u18645, _u18646, _u18647)), _u18644) = hAPP(hAPP(c_List_Onth(_u18645), _u18647), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18644), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18645)), c_List_OtakeWhile(_u18645, _u18646, _u18647))))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_listsum__map__filter ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_listsum__map__filter-1, axiom, ( ~class_Groups_Omonoid__add(_u18649) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18649), hAPP(hAPP(c_List_Omap(_u18650, _u18649), _u18653), hAPP(c_List_Ofilter(_u18650, _u18652), _u18651))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18649), hAPP(hAPP(c_List_Omap(_u18650, _u18649), _u18653), _u18651))) | hBOOL(hAPP(hAPP(c_member(_u18650), skolem461(_u18653, _u18652, _u18651, _u18650, _u18649)), hAPP(c_List_Oset(_u18650), _u18651))) )).
% 20.36/20.58 cnf(fact_listsum__map__filter-2, axiom, ( ~class_Groups_Omonoid__add(_u18649) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18649), hAPP(hAPP(c_List_Omap(_u18650, _u18649), _u18653), hAPP(c_List_Ofilter(_u18650, _u18652), _u18651))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18649), hAPP(hAPP(c_List_Omap(_u18650, _u18649), _u18653), _u18651))) | ~hBOOL(hAPP(_u18652, skolem461(_u18653, _u18652, _u18651, _u18650, _u18649))) )).
% 20.36/20.58 cnf(fact_listsum__map__filter-3, axiom, ( ~class_Groups_Omonoid__add(_u18649) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18649), hAPP(hAPP(c_List_Omap(_u18650, _u18649), _u18653), hAPP(c_List_Ofilter(_u18650, _u18652), _u18651))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18649), hAPP(hAPP(c_List_Omap(_u18650, _u18649), _u18653), _u18651))) | ( hAPP(_u18653, skolem461(_u18653, _u18652, _u18651, _u18650, _u18649)) != c_Groups_Ozero__class_Ozero(_u18649)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sorted__nth__monoI ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sorted__nth__monoI-1, axiom, ( ~class_Orderings_Olinorder(_u18656) | c_List_Olinorder__class_Osorted(_u18656, _u18657) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem462(_u18657, _u18656)), skolem463(_u18657, _u18656))) )).
% 20.36/20.58 cnf(fact_sorted__nth__monoI-2, axiom, ( ~class_Orderings_Olinorder(_u18656) | c_List_Olinorder__class_Osorted(_u18656, _u18657) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem463(_u18657, _u18656)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18656)), _u18657))) )).
% 20.36/20.58 cnf(fact_sorted__nth__monoI-3, axiom, ( ~class_Orderings_Olinorder(_u18656) | c_List_Olinorder__class_Osorted(_u18656, _u18657) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18656), hAPP(hAPP(c_List_Onth(_u18656), _u18657), skolem462(_u18657, _u18656))), hAPP(hAPP(c_List_Onth(_u18656), _u18657), skolem463(_u18657, _u18656)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_takeWhile__eq__filter ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_takeWhile__eq__filter-1, axiom, ( ( c_List_OtakeWhile(_u18659, _u18660, _u18661) = hAPP(c_List_Ofilter(_u18659, _u18660), _u18661)) | hBOOL(hAPP(hAPP(c_member(_u18659), skolem464(_u18661, _u18660, _u18659)), hAPP(c_List_Oset(_u18659), c_List_OdropWhile(_u18659, _u18660, _u18661)))) )).
% 20.36/20.58 cnf(fact_takeWhile__eq__filter-2, axiom, ( ( c_List_OtakeWhile(_u18659, _u18660, _u18661) = hAPP(c_List_Ofilter(_u18659, _u18660), _u18661)) | hBOOL(hAPP(_u18660, skolem464(_u18661, _u18660, _u18659))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_takeWhile__eq__take__P__nth ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_takeWhile__eq__take__P__nth-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem465(_u18666, _u18665, _u18664, _u18663)), _u18663)) | ( c_List_OtakeWhile(_u18664, _u18666, _u18665) = hAPP(hAPP(c_List_Otake(_u18664), _u18663), _u18665)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18663), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18664)), _u18665))) )).
% 20.36/20.58 cnf(fact_takeWhile__eq__take__P__nth-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem465(_u18666, _u18665, _u18664, _u18663)), _u18663)) | ( c_List_OtakeWhile(_u18664, _u18666, _u18665) = hAPP(hAPP(c_List_Otake(_u18664), _u18663), _u18665)) | hBOOL(hAPP(_u18666, hAPP(hAPP(c_List_Onth(_u18664), _u18665), _u18663))) )).
% 20.36/20.58 cnf(fact_takeWhile__eq__take__P__nth-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem465(_u18666, _u18665, _u18664, _u18663)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18664)), _u18665))) | ( c_List_OtakeWhile(_u18664, _u18666, _u18665) = hAPP(hAPP(c_List_Otake(_u18664), _u18663), _u18665)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18663), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18664)), _u18665))) )).
% 20.36/20.58 cnf(fact_takeWhile__eq__take__P__nth-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem465(_u18666, _u18665, _u18664, _u18663)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18664)), _u18665))) | ( c_List_OtakeWhile(_u18664, _u18666, _u18665) = hAPP(hAPP(c_List_Otake(_u18664), _u18663), _u18665)) | hBOOL(hAPP(_u18666, hAPP(hAPP(c_List_Onth(_u18664), _u18665), _u18663))) )).
% 20.36/20.58 cnf(fact_takeWhile__eq__take__P__nth-5, axiom, ( ~hBOOL(hAPP(_u18666, hAPP(hAPP(c_List_Onth(_u18664), _u18665), skolem465(_u18666, _u18665, _u18664, _u18663)))) | ( c_List_OtakeWhile(_u18664, _u18666, _u18665) = hAPP(hAPP(c_List_Otake(_u18664), _u18663), _u18665)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18663), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18664)), _u18665))) )).
% 20.36/20.58 cnf(fact_takeWhile__eq__take__P__nth-6, axiom, ( ~hBOOL(hAPP(_u18666, hAPP(hAPP(c_List_Onth(_u18664), _u18665), skolem465(_u18666, _u18665, _u18664, _u18663)))) | ( c_List_OtakeWhile(_u18664, _u18666, _u18665) = hAPP(hAPP(c_List_Otake(_u18664), _u18663), _u18665)) | hBOOL(hAPP(_u18666, hAPP(hAPP(c_List_Onth(_u18664), _u18665), _u18663))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_length__takeWhile__less__P__nth ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_length__takeWhile__less__P__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18668), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18670)), _u18671))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18668), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18670)), c_List_OtakeWhile(_u18670, _u18669, _u18671)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem466(_u18671, _u18670, _u18669, _u18668)), _u18668)) )).
% 20.36/20.58 cnf(fact_length__takeWhile__less__P__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18668), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18670)), _u18671))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18668), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18670)), c_List_OtakeWhile(_u18670, _u18669, _u18671)))) | ~hBOOL(hAPP(_u18669, hAPP(hAPP(c_List_Onth(_u18670), _u18671), skolem466(_u18671, _u18670, _u18669, _u18668)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sorted_Osimps ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sorted_Osimps-1, axiom, ( ~class_Orderings_Olinorder(_u18678) | ~c_List_Olinorder__class_Osorted(_u18678, _u18679) | ( _u18679 = c_List_Olist_ONil(_u18678)) | c_List_Olinorder__class_Osorted(_u18678, skolem467(_u18679, _u18678)) )).
% 20.36/20.58 cnf(fact_sorted_Osimps-2, axiom, ( ~class_Orderings_Olinorder(_u18678) | ~c_List_Olinorder__class_Osorted(_u18678, _u18679) | ( _u18679 = c_List_Olist_ONil(_u18678)) | ( _u18679 = hAPP(hAPP(c_List_Olist_OCons(_u18678), skolem468(_u18679, _u18678)), skolem467(_u18679, _u18678))) )).
% 20.36/20.58 cnf(fact_sorted_Osimps-3, axiom, ( ~class_Orderings_Olinorder(_u18678) | ~c_List_Olinorder__class_Osorted(_u18678, _u18679) | ( _u18679 = c_List_Olist_ONil(_u18678)) | ~hBOOL(hAPP(hAPP(c_member(_u18678), _u18672), hAPP(c_List_Oset(_u18678), skolem467(_u18679, _u18678)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18678), skolem468(_u18679, _u18678)), _u18672)) )).
% 20.36/20.58 cnf(fact_sorted_Osimps-4, axiom, ( ~class_Orderings_Olinorder(_u18678) | c_List_Olinorder__class_Osorted(_u18678, _u18679) | ( _u18679 != c_List_Olist_ONil(_u18678)) )).
% 20.36/20.58 cnf(fact_sorted_Osimps-5, axiom, ( ~class_Orderings_Olinorder(_u18678) | c_List_Olinorder__class_Osorted(_u18678, _u18679) | ~c_List_Olinorder__class_Osorted(_u18678, _u18677) | ( _u18679 != hAPP(hAPP(c_List_Olist_OCons(_u18678), _u18676), _u18677)) | hBOOL(hAPP(hAPP(c_member(_u18678), skolem469(_u18679, _u18678, _u18677, _u18676)), hAPP(c_List_Oset(_u18678), _u18677))) )).
% 20.36/20.58 cnf(fact_sorted_Osimps-6, axiom, ( ~class_Orderings_Olinorder(_u18678) | c_List_Olinorder__class_Osorted(_u18678, _u18679) | ~c_List_Olinorder__class_Osorted(_u18678, _u18677) | ( _u18679 != hAPP(hAPP(c_List_Olist_OCons(_u18678), _u18676), _u18677)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18678), _u18676), skolem469(_u18679, _u18678, _u18677, _u18676))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_List_Oinsert__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_List_Oinsert__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18683), _u18685), hAPP(c_List_Oset(_u18683), _u18687))) | ( c_List_Oinsert(_u18683, _u18685, _u18687) = _u18687) )).
% 20.36/20.58 cnf(fact_List_Oinsert__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u18684), _u18686), hAPP(c_List_Oset(_u18684), _u18688))) | ( c_List_Oinsert(_u18684, _u18686, _u18688) = hAPP(hAPP(c_List_Olist_OCons(_u18684), _u18686), _u18688)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_not__in__set__insert ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_not__in__set__insert-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u18689), _u18690), hAPP(c_List_Oset(_u18689), _u18691))) | ( c_List_Oinsert(_u18689, _u18690, _u18691) = hAPP(hAPP(c_List_Olist_OCons(_u18689), _u18690), _u18691)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_insert__remdups ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_insert__remdups-1, axiom, ( ( c_List_Oinsert(_u18692, _u18693, c_List_Oremdups(_u18692, _u18694)) = c_List_Oremdups(_u18692, c_List_Oinsert(_u18692, _u18693, _u18694))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_distinct__insert ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_distinct__insert-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18695), _u18696)) | hBOOL(hAPP(c_List_Odistinct(_u18695), c_List_Oinsert(_u18695, _u18697, _u18696))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_in__set__insert ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_in__set__insert-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18698), _u18699), hAPP(c_List_Oset(_u18698), _u18700))) | ( c_List_Oinsert(_u18698, _u18699, _u18700) = _u18700) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_List_Oset__insert ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_List_Oset__insert-1, axiom, ( ( hAPP(c_List_Oset(_u18701), c_List_Oinsert(_u18701, _u18702, _u18703)) = hAPP(hAPP(c_Set_Oinsert(_u18701), _u18702), hAPP(c_List_Oset(_u18701), _u18703))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_insert__Nil ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_insert__Nil-1, axiom, ( ( c_List_Oinsert(_u18704, _u18705, c_List_Olist_ONil(_u18704)) = hAPP(hAPP(c_List_Olist_OCons(_u18704), _u18705), c_List_Olist_ONil(_u18704))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_maps__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_maps__def-1, axiom, ( ( c_List_Omaps(_u18706, _u18707, _u18708, _u18709) = c_List_Oconcat(_u18707, hAPP(hAPP(c_List_Omap(_u18706, tc_List_Olist(_u18707)), _u18708), _u18709))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_concat__map__maps ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_concat__map__maps-1, axiom, ( ( c_List_Oconcat(_u18710, hAPP(hAPP(c_List_Omap(_u18711, tc_List_Olist(_u18710)), _u18712), _u18713)) = c_List_Omaps(_u18711, _u18710, _u18712, _u18713)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_maps__simps_I2_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_maps__simps_I2_J-1, axiom, ( ( c_List_Omaps(_u18714, _u18715, _u18716, c_List_Olist_ONil(_u18714)) = c_List_Olist_ONil(_u18715)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_maps__simps_I1_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_maps__simps_I1_J-1, axiom, ( ( c_List_Omaps(_u18717, _u18718, _u18719, hAPP(hAPP(c_List_Olist_OCons(_u18717), _u18720), _u18721)) = hAPP(hAPP(c_List_Oappend(_u18718), hAPP(_u18719, _u18720)), c_List_Omaps(_u18717, _u18718, _u18719, _u18721))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_distinct__concat ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_distinct__concat-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18725)), _u18726)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18725)), skolem470(_u18726, _u18725)), hAPP(c_List_Oset(tc_List_Olist(_u18725)), _u18726))) | hBOOL(hAPP(c_List_Odistinct(_u18725), c_List_Oconcat(_u18725, _u18726))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18725)), skolem471(_u18726, _u18725)), hAPP(c_List_Oset(tc_List_Olist(_u18725)), _u18726))) )).
% 20.36/20.58 cnf(fact_distinct__concat-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18725)), _u18726)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18725)), skolem470(_u18726, _u18725)), hAPP(c_List_Oset(tc_List_Olist(_u18725)), _u18726))) | hBOOL(hAPP(c_List_Odistinct(_u18725), c_List_Oconcat(_u18725, _u18726))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18725)), skolem472(_u18726, _u18725)), hAPP(c_List_Oset(tc_List_Olist(_u18725)), _u18726))) )).
% 20.36/20.58 cnf(fact_distinct__concat-3, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18725)), _u18726)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18725)), skolem470(_u18726, _u18725)), hAPP(c_List_Oset(tc_List_Olist(_u18725)), _u18726))) | hBOOL(hAPP(c_List_Odistinct(_u18725), c_List_Oconcat(_u18725, _u18726))) | ( skolem471(_u18726, _u18725) != skolem472(_u18726, _u18725)) )).
% 20.36/20.58 cnf(fact_distinct__concat-4, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18725)), _u18726)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18725)), skolem470(_u18726, _u18725)), hAPP(c_List_Oset(tc_List_Olist(_u18725)), _u18726))) | hBOOL(hAPP(c_List_Odistinct(_u18725), c_List_Oconcat(_u18725, _u18726))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18725, tc_HOL_Obool)), hAPP(c_List_Oset(_u18725), skolem471(_u18726, _u18725))), hAPP(c_List_Oset(_u18725), skolem472(_u18726, _u18725))) != c_Orderings_Obot__class_Obot(tc_fun(_u18725, tc_HOL_Obool))) )).
% 20.36/20.58 cnf(fact_distinct__concat-5, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18725)), _u18726)) | ~hBOOL(hAPP(c_List_Odistinct(_u18725), skolem470(_u18726, _u18725))) | hBOOL(hAPP(c_List_Odistinct(_u18725), c_List_Oconcat(_u18725, _u18726))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18725)), skolem471(_u18726, _u18725)), hAPP(c_List_Oset(tc_List_Olist(_u18725)), _u18726))) )).
% 20.36/20.58 cnf(fact_distinct__concat-6, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18725)), _u18726)) | ~hBOOL(hAPP(c_List_Odistinct(_u18725), skolem470(_u18726, _u18725))) | hBOOL(hAPP(c_List_Odistinct(_u18725), c_List_Oconcat(_u18725, _u18726))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18725)), skolem472(_u18726, _u18725)), hAPP(c_List_Oset(tc_List_Olist(_u18725)), _u18726))) )).
% 20.36/20.58 cnf(fact_distinct__concat-7, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18725)), _u18726)) | ~hBOOL(hAPP(c_List_Odistinct(_u18725), skolem470(_u18726, _u18725))) | hBOOL(hAPP(c_List_Odistinct(_u18725), c_List_Oconcat(_u18725, _u18726))) | ( skolem471(_u18726, _u18725) != skolem472(_u18726, _u18725)) )).
% 20.36/20.58 cnf(fact_distinct__concat-8, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18725)), _u18726)) | ~hBOOL(hAPP(c_List_Odistinct(_u18725), skolem470(_u18726, _u18725))) | hBOOL(hAPP(c_List_Odistinct(_u18725), c_List_Oconcat(_u18725, _u18726))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18725, tc_HOL_Obool)), hAPP(c_List_Oset(_u18725), skolem471(_u18726, _u18725))), hAPP(c_List_Oset(_u18725), skolem472(_u18726, _u18725))) != c_Orderings_Obot__class_Obot(tc_fun(_u18725, tc_HOL_Obool))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_measures__lesseq ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_measures__lesseq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u18727, _u18728)), hAPP(_u18727, _u18729))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18730, _u18730)), hAPP(hAPP(c_Product__Type_OPair(_u18730, _u18730), _u18728), _u18729)), c_List_Omeasures(_u18730, _u18731))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18730, _u18730)), hAPP(hAPP(c_Product__Type_OPair(_u18730, _u18730), _u18728), _u18729)), c_List_Omeasures(_u18730, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18730, tc_Nat_Onat)), _u18727), _u18731)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_wf__measures ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_wf__measures-1, axiom, ( c_Wellfounded_Owf(_u18732, c_List_Omeasures(_u18732, _u18733)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_in__measures_I1_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_in__measures_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18734, _u18734)), hAPP(hAPP(c_Product__Type_OPair(_u18734, _u18734), _u18735), _u18736)), c_List_Omeasures(_u18734, c_List_Olist_ONil(tc_fun(_u18734, tc_Nat_Onat))))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_measures__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_measures__def-1, axiom, ( ( c_List_Omeasures(_u18737, _u18738) = hAPP(hAPP(c_Relation_Oinv__image(tc_List_Olist(tc_Nat_Onat), _u18737), c_List_Olex(tc_Nat_Onat, c_Wellfounded_Oless__than)), hAPP(hAPP(c_COMBC(_u18737, tc_List_Olist(tc_fun(_u18737, tc_Nat_Onat)), tc_List_Olist(tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u18737, tc_Nat_Onat), tc_Nat_Onat), tc_fun(tc_List_Olist(tc_fun(_u18737, tc_Nat_Onat)), tc_List_Olist(tc_Nat_Onat)), _u18737), c_List_Omap(tc_fun(_u18737, tc_Nat_Onat), tc_Nat_Onat)), hAPP(c_COMBC(tc_fun(_u18737, tc_Nat_Onat), _u18737, tc_Nat_Onat), c_COMBI(tc_fun(_u18737, tc_Nat_Onat))))), _u18738))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_measures__less ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_measures__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u18739, _u18740)), hAPP(_u18739, _u18741))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18742, _u18742)), hAPP(hAPP(c_Product__Type_OPair(_u18742, _u18742), _u18740), _u18741)), c_List_Omeasures(_u18742, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18742, tc_Nat_Onat)), _u18739), _u18743)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_in__measures_I2_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_in__measures_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18749, _u18749)), hAPP(hAPP(c_Product__Type_OPair(_u18749, _u18749), _u18751), _u18753)), c_List_Omeasures(_u18749, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18749, tc_Nat_Onat)), _u18755), _u18757)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u18755, _u18751)), hAPP(_u18755, _u18753))) | ( hAPP(_u18755, _u18751) = hAPP(_u18755, _u18753)) )).
% 20.36/20.58 cnf(fact_in__measures_I2_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18749, _u18749)), hAPP(hAPP(c_Product__Type_OPair(_u18749, _u18749), _u18751), _u18753)), c_List_Omeasures(_u18749, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18749, tc_Nat_Onat)), _u18755), _u18757)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u18755, _u18751)), hAPP(_u18755, _u18753))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18749, _u18749)), hAPP(hAPP(c_Product__Type_OPair(_u18749, _u18749), _u18751), _u18753)), c_List_Omeasures(_u18749, _u18757))) )).
% 20.36/20.58 cnf(fact_in__measures_I2_J-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u18750, _u18750)), hAPP(hAPP(c_Product__Type_OPair(_u18750, _u18750), _u18752), _u18754)), c_List_Omeasures(_u18750, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18750, tc_Nat_Onat)), _u18756), _u18758)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u18756, _u18752)), hAPP(_u18756, _u18754))) )).
% 20.36/20.58 cnf(fact_in__measures_I2_J-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u18750, _u18750)), hAPP(hAPP(c_Product__Type_OPair(_u18750, _u18750), _u18752), _u18754)), c_List_Omeasures(_u18750, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18750, tc_Nat_Onat)), _u18756), _u18758)))) | ( hAPP(_u18756, _u18752) != hAPP(_u18756, _u18754)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18750, _u18750)), hAPP(hAPP(c_Product__Type_OPair(_u18750, _u18750), _u18752), _u18754)), c_List_Omeasures(_u18750, _u18758))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_foldl__apply ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_foldl__apply-1, axiom, ( ( hAPP(c_List_Ofoldl(_u18762, _u18760, hAPP(c_COMBC(_u18760, _u18762, _u18762), _u18764), hAPP(_u18765, _u18767)), _u18761) = hAPP(_u18765, hAPP(c_List_Ofoldl(_u18763, _u18760, hAPP(c_COMBC(_u18760, _u18763, _u18763), _u18766), _u18767), _u18761))) | hBOOL(hAPP(hAPP(c_member(_u18760), skolem473(_u18767, _u18766, _u18765, _u18764, _u18763, _u18762, _u18761, _u18760)), hAPP(c_List_Oset(_u18760), _u18761))) )).
% 20.36/20.58 cnf(fact_foldl__apply-2, axiom, ( ( hAPP(c_List_Ofoldl(_u18762, _u18760, hAPP(c_COMBC(_u18760, _u18762, _u18762), _u18764), hAPP(_u18765, _u18767)), _u18761) = hAPP(_u18765, hAPP(c_List_Ofoldl(_u18763, _u18760, hAPP(c_COMBC(_u18760, _u18763, _u18763), _u18766), _u18767), _u18761))) | ( hAPP(c_Fun_Ocomp(_u18762, _u18762, _u18763, hAPP(_u18764, skolem473(_u18767, _u18766, _u18765, _u18764, _u18763, _u18762, _u18761, _u18760))), _u18765) != hAPP(c_Fun_Ocomp(_u18763, _u18762, _u18763, _u18765), hAPP(_u18766, skolem473(_u18767, _u18766, _u18765, _u18764, _u18763, _u18762, _u18761, _u18760)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_order__fun_I2_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_order__fun_I2_J-1, axiom, ( ~class_Orderings_Oorder(_u18768) | ~class_Enum_Oenum(_u18769) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u18769, _u18768)), _u18770), _u18771)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18769, _u18768)), _u18770), _u18771)) )).
% 20.36/20.58 cnf(fact_order__fun_I2_J-2, axiom, ( ~class_Orderings_Oorder(_u18768) | ~class_Enum_Oenum(_u18769) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u18769, _u18768)), _u18770), _u18771)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18769), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18769), c_fNot), hAPP(hAPP(c_COMBS(_u18769, _u18768, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18768, tc_fun(_u18768, tc_HOL_Obool), _u18769), c_fequal), _u18770)), _u18771)))) )).
% 20.36/20.58 cnf(fact_order__fun_I2_J-3, axiom, ( ~class_Orderings_Oorder(_u18768) | ~class_Enum_Oenum(_u18769) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18769, _u18768)), _u18770), _u18771)) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18769), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18769), c_fNot), hAPP(hAPP(c_COMBS(_u18769, _u18768, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18768, tc_fun(_u18768, tc_HOL_Obool), _u18769), c_fequal), _u18770)), _u18771)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u18769, _u18768)), _u18770), _u18771)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_enum__ex__prod__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_enum__ex__prod__def-1, axiom, ( ~class_Enum_Oenum(_u18772) | ~class_Enum_Oenum(_u18773) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(_u18773, _u18772)), _u18774)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18773), hAPP(hAPP(c_COMBB(tc_fun(_u18772, tc_HOL_Obool), tc_HOL_Obool, _u18773), c_Enum_Oenum__class_Oenum__ex(_u18772)), hAPP(hAPP(c_COMBB(tc_fun(_u18772, tc_prod(_u18773, _u18772)), tc_fun(_u18772, tc_HOL_Obool), _u18773), hAPP(c_COMBB(tc_prod(_u18773, _u18772), tc_HOL_Obool, _u18772), _u18774)), c_Product__Type_OPair(_u18773, _u18772))))) )).
% 20.36/20.58 cnf(fact_enum__ex__prod__def-2, axiom, ( ~class_Enum_Oenum(_u18772) | ~class_Enum_Oenum(_u18773) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18773), hAPP(hAPP(c_COMBB(tc_fun(_u18772, tc_HOL_Obool), tc_HOL_Obool, _u18773), c_Enum_Oenum__class_Oenum__ex(_u18772)), hAPP(hAPP(c_COMBB(tc_fun(_u18772, tc_prod(_u18773, _u18772)), tc_fun(_u18772, tc_HOL_Obool), _u18773), hAPP(c_COMBB(tc_prod(_u18773, _u18772), tc_HOL_Obool, _u18772), _u18774)), c_Product__Type_OPair(_u18773, _u18772))))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(_u18773, _u18772)), _u18774)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_enum__ex ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_enum__ex-1, axiom, ( ~class_Enum_Oenum(_u18777) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18777), _u18778)) | hBOOL(hAPP(_u18778, skolem474(_u18778, _u18777))) )).
% 20.36/20.58 cnf(fact_enum__ex-2, axiom, ( ~class_Enum_Oenum(_u18777) | ~hBOOL(hAPP(_u18778, _u18776)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18777), _u18778)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_exists__code ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_exists__code-1, axiom, ( ~class_Enum_Oenum(_u18781) | ~hBOOL(hAPP(_u18782, _u18779)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18781), _u18782)) )).
% 20.36/20.58 cnf(fact_exists__code-2, axiom, ( ~class_Enum_Oenum(_u18781) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18781), _u18782)) | hBOOL(hAPP(_u18782, skolem475(_u18782, _u18781))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_zip__obtain__same__length ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_zip__obtain__same__length-1, axiom, ( hBOOL(hAPP(_u18787, hAPP(hAPP(c_List_Ozip(_u18783, _u18785), _u18784), _u18786))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18783)), hAPP(hAPP(c_List_Otake(_u18783), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18783)), _u18784)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18785)), _u18786))), _u18784)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18785)), hAPP(hAPP(c_List_Otake(_u18785), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18783)), _u18784)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18785)), _u18786))), _u18786))) )).
% 20.36/20.58 cnf(fact_zip__obtain__same__length-2, axiom, ( hBOOL(hAPP(_u18787, hAPP(hAPP(c_List_Ozip(_u18783, _u18785), _u18784), _u18786))) | ~hBOOL(hAPP(_u18787, hAPP(hAPP(c_List_Ozip(_u18783, _u18785), hAPP(hAPP(c_List_Otake(_u18783), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18783)), _u18784)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18785)), _u18786))), _u18784)), hAPP(hAPP(c_List_Otake(_u18785), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18783)), _u18784)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18785)), _u18786))), _u18786)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_pos__not__random__dseq__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_pos__not__random__dseq__def-1, axiom, ( ( c_New__Random__Sequence_Opos__not__random__dseq(_u18788, _u18789, _u18790, _u18791) = c_New__DSequence_Opos__not__seq(hAPP(hAPP(hAPP(_u18788, _u18789), _u18790), _u18791))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_dropWhile__append2 ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_dropWhile__append2-1, axiom, ( ( c_List_OdropWhile(_u18793, _u18795, hAPP(hAPP(c_List_Oappend(_u18793), _u18794), _u18796)) = c_List_OdropWhile(_u18793, _u18795, _u18796)) | hBOOL(hAPP(hAPP(c_member(_u18793), skolem476(_u18796, _u18795, _u18794, _u18793)), hAPP(c_List_Oset(_u18793), _u18794))) )).
% 20.36/20.58 cnf(fact_dropWhile__append2-2, axiom, ( ( c_List_OdropWhile(_u18793, _u18795, hAPP(hAPP(c_List_Oappend(_u18793), _u18794), _u18796)) = c_List_OdropWhile(_u18793, _u18795, _u18796)) | ~hBOOL(hAPP(_u18795, skolem476(_u18796, _u18795, _u18794, _u18793))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_list__all2__all__nthI ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_list__all2__all__nthI-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18798)), _u18799) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18800)), _u18801)) | c_List_Olist__all2(_u18798, _u18800, _u18802, _u18799, _u18801) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem477(_u18802, _u18801, _u18800, _u18799, _u18798)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18798)), _u18799))) )).
% 20.36/20.58 cnf(fact_list__all2__all__nthI-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18798)), _u18799) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18800)), _u18801)) | c_List_Olist__all2(_u18798, _u18800, _u18802, _u18799, _u18801) | ~hBOOL(hAPP(hAPP(_u18802, hAPP(hAPP(c_List_Onth(_u18798), _u18799), skolem477(_u18802, _u18801, _u18800, _u18799, _u18798))), hAPP(hAPP(c_List_Onth(_u18800), _u18801), skolem477(_u18802, _u18801, _u18800, _u18799, _u18798)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_finite__sorted__distinct__unique ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_finite__sorted__distinct__unique-1, axiom, ( ~class_Orderings_Olinorder(_u18805) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18805), _u18806)) | ( hAPP(c_List_Oset(_u18805), skolem478(_u18806, _u18805)) = _u18806) )).
% 20.36/20.58 cnf(fact_finite__sorted__distinct__unique-2, axiom, ( ~class_Orderings_Olinorder(_u18805) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18805), _u18806)) | c_List_Olinorder__class_Osorted(_u18805, skolem478(_u18806, _u18805)) )).
% 20.36/20.58 cnf(fact_finite__sorted__distinct__unique-3, axiom, ( ~class_Orderings_Olinorder(_u18805) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18805), _u18806)) | hBOOL(hAPP(c_List_Odistinct(_u18805), skolem478(_u18806, _u18805))) )).
% 20.36/20.58 cnf(fact_finite__sorted__distinct__unique-4, axiom, ( ~class_Orderings_Olinorder(_u18805) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18805), _u18806)) | ( hAPP(c_List_Oset(_u18805), _u18803) != _u18806) | ~c_List_Olinorder__class_Osorted(_u18805, _u18803) | ~hBOOL(hAPP(c_List_Odistinct(_u18805), _u18803)) | ( _u18803 = skolem478(_u18806, _u18805)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_takeWhile__append2 ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_takeWhile__append2-1, axiom, ( ( c_List_OtakeWhile(_u18808, _u18810, hAPP(hAPP(c_List_Oappend(_u18808), _u18809), _u18811)) = hAPP(hAPP(c_List_Oappend(_u18808), _u18809), c_List_OtakeWhile(_u18808, _u18810, _u18811))) | hBOOL(hAPP(hAPP(c_member(_u18808), skolem479(_u18811, _u18810, _u18809, _u18808)), hAPP(c_List_Oset(_u18808), _u18809))) )).
% 20.36/20.58 cnf(fact_takeWhile__append2-2, axiom, ( ( c_List_OtakeWhile(_u18808, _u18810, hAPP(hAPP(c_List_Oappend(_u18808), _u18809), _u18811)) = hAPP(hAPP(c_List_Oappend(_u18808), _u18809), c_List_OtakeWhile(_u18808, _u18810, _u18811))) | ~hBOOL(hAPP(_u18810, skolem479(_u18811, _u18810, _u18809, _u18808))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_insort__is__Cons ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_insort__is__Cons-1, axiom, ( ~class_Orderings_Olinorder(_u18813) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18814, _u18813, _u18816), _u18817), _u18815) = hAPP(hAPP(c_List_Olist_OCons(_u18814), _u18817), _u18815)) | hBOOL(hAPP(hAPP(c_member(_u18814), skolem480(_u18817, _u18816, _u18815, _u18814, _u18813)), hAPP(c_List_Oset(_u18814), _u18815))) )).
% 20.36/20.58 cnf(fact_insort__is__Cons-2, axiom, ( ~class_Orderings_Olinorder(_u18813) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18814, _u18813, _u18816), _u18817), _u18815) = hAPP(hAPP(c_List_Olist_OCons(_u18814), _u18817), _u18815)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18813), hAPP(_u18816, _u18817)), hAPP(_u18816, skolem480(_u18817, _u18816, _u18815, _u18814, _u18813)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_Cons__eq__filter__iff ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_Cons__eq__filter__iff-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18829), _u18831), _u18833) != hAPP(c_List_Ofilter(_u18829, _u18835), _u18837)) | hBOOL(hAPP(_u18835, _u18831)) )).
% 20.36/20.58 cnf(fact_Cons__eq__filter__iff-2, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18829), _u18831), _u18833) != hAPP(c_List_Ofilter(_u18829, _u18835), _u18837)) | ~hBOOL(hAPP(hAPP(c_member(_u18829), _u18818), hAPP(c_List_Oset(_u18829), skolem481(_u18837, _u18835, _u18833, _u18831, _u18829)))) | ~hBOOL(hAPP(_u18835, _u18818)) )).
% 20.36/20.58 cnf(fact_Cons__eq__filter__iff-3, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18829), _u18831), _u18833) != hAPP(c_List_Ofilter(_u18829, _u18835), _u18837)) | ( _u18837 = hAPP(hAPP(c_List_Oappend(_u18829), skolem481(_u18837, _u18835, _u18833, _u18831, _u18829)), hAPP(hAPP(c_List_Olist_OCons(_u18829), _u18831), skolem482(_u18837, _u18835, _u18833, _u18831, _u18829)))) )).
% 20.36/20.58 cnf(fact_Cons__eq__filter__iff-4, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18829), _u18831), _u18833) != hAPP(c_List_Ofilter(_u18829, _u18835), _u18837)) | ( _u18833 = hAPP(c_List_Ofilter(_u18829, _u18835), skolem482(_u18837, _u18835, _u18833, _u18831, _u18829))) )).
% 20.36/20.58 cnf(fact_Cons__eq__filter__iff-5, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18830), _u18832), _u18834) = hAPP(c_List_Ofilter(_u18830, _u18836), _u18838)) | ~hBOOL(hAPP(_u18836, _u18832)) | ( _u18838 != hAPP(hAPP(c_List_Oappend(_u18830), _u18823), hAPP(hAPP(c_List_Olist_OCons(_u18830), _u18832), _u18822))) | ( _u18834 != hAPP(c_List_Ofilter(_u18830, _u18836), _u18822)) | hBOOL(hAPP(hAPP(c_member(_u18830), skolem483(_u18838, _u18836, _u18834, _u18832, _u18830, _u18823)), hAPP(c_List_Oset(_u18830), _u18823))) )).
% 20.36/20.58 cnf(fact_Cons__eq__filter__iff-6, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18830), _u18832), _u18834) = hAPP(c_List_Ofilter(_u18830, _u18836), _u18838)) | ~hBOOL(hAPP(_u18836, _u18832)) | ( _u18838 != hAPP(hAPP(c_List_Oappend(_u18830), _u18823), hAPP(hAPP(c_List_Olist_OCons(_u18830), _u18832), _u18822))) | ( _u18834 != hAPP(c_List_Ofilter(_u18830, _u18836), _u18822)) | hBOOL(hAPP(_u18836, skolem483(_u18838, _u18836, _u18834, _u18832, _u18830, _u18823))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_filter__eq__Cons__iff ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_filter__eq__Cons__iff-1, axiom, ( ( hAPP(c_List_Ofilter(_u18850, _u18852), _u18854) != hAPP(hAPP(c_List_Olist_OCons(_u18850), _u18856), _u18858)) | hBOOL(hAPP(_u18852, _u18856)) )).
% 20.36/20.58 cnf(fact_filter__eq__Cons__iff-2, axiom, ( ( hAPP(c_List_Ofilter(_u18850, _u18852), _u18854) != hAPP(hAPP(c_List_Olist_OCons(_u18850), _u18856), _u18858)) | ~hBOOL(hAPP(hAPP(c_member(_u18850), _u18839), hAPP(c_List_Oset(_u18850), skolem484(_u18858, _u18856, _u18854, _u18852, _u18850)))) | ~hBOOL(hAPP(_u18852, _u18839)) )).
% 20.36/20.58 cnf(fact_filter__eq__Cons__iff-3, axiom, ( ( hAPP(c_List_Ofilter(_u18850, _u18852), _u18854) != hAPP(hAPP(c_List_Olist_OCons(_u18850), _u18856), _u18858)) | ( _u18854 = hAPP(hAPP(c_List_Oappend(_u18850), skolem484(_u18858, _u18856, _u18854, _u18852, _u18850)), hAPP(hAPP(c_List_Olist_OCons(_u18850), _u18856), skolem485(_u18858, _u18856, _u18854, _u18852, _u18850)))) )).
% 20.36/20.58 cnf(fact_filter__eq__Cons__iff-4, axiom, ( ( hAPP(c_List_Ofilter(_u18850, _u18852), _u18854) != hAPP(hAPP(c_List_Olist_OCons(_u18850), _u18856), _u18858)) | ( _u18858 = hAPP(c_List_Ofilter(_u18850, _u18852), skolem485(_u18858, _u18856, _u18854, _u18852, _u18850))) )).
% 20.36/20.58 cnf(fact_filter__eq__Cons__iff-5, axiom, ( ( hAPP(c_List_Ofilter(_u18851, _u18853), _u18855) = hAPP(hAPP(c_List_Olist_OCons(_u18851), _u18857), _u18859)) | ~hBOOL(hAPP(_u18853, _u18857)) | ( _u18855 != hAPP(hAPP(c_List_Oappend(_u18851), _u18844), hAPP(hAPP(c_List_Olist_OCons(_u18851), _u18857), _u18843))) | ( _u18859 != hAPP(c_List_Ofilter(_u18851, _u18853), _u18843)) | hBOOL(hAPP(hAPP(c_member(_u18851), skolem486(_u18859, _u18857, _u18855, _u18853, _u18851, _u18844)), hAPP(c_List_Oset(_u18851), _u18844))) )).
% 20.36/20.58 cnf(fact_filter__eq__Cons__iff-6, axiom, ( ( hAPP(c_List_Ofilter(_u18851, _u18853), _u18855) = hAPP(hAPP(c_List_Olist_OCons(_u18851), _u18857), _u18859)) | ~hBOOL(hAPP(_u18853, _u18857)) | ( _u18855 != hAPP(hAPP(c_List_Oappend(_u18851), _u18844), hAPP(hAPP(c_List_Olist_OCons(_u18851), _u18857), _u18843))) | ( _u18859 != hAPP(c_List_Ofilter(_u18851, _u18853), _u18843)) | hBOOL(hAPP(_u18853, skolem486(_u18859, _u18857, _u18855, _u18853, _u18851, _u18844))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_order__fun_I1_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_order__fun_I1_J-1, axiom, ( ~class_Orderings_Oorder(_u18860) | ~class_Enum_Oenum(_u18861) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18861, _u18860)), _u18862), _u18863)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18861), hAPP(hAPP(c_COMBS(_u18861, _u18860, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18860, tc_fun(_u18860, tc_HOL_Obool), _u18861), c_Orderings_Oord__class_Oless__eq(_u18860)), _u18862)), _u18863))) )).
% 20.36/20.58 cnf(fact_order__fun_I1_J-2, axiom, ( ~class_Orderings_Oorder(_u18860) | ~class_Enum_Oenum(_u18861) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18861), hAPP(hAPP(c_COMBS(_u18861, _u18860, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18860, tc_fun(_u18860, tc_HOL_Obool), _u18861), c_Orderings_Oord__class_Oless__eq(_u18860)), _u18862)), _u18863))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18861, _u18860)), _u18862), _u18863)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_all__code ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_all__code-1, axiom, ( ~class_Enum_Oenum(_u18866) | ~hBOOL(hAPP(_u18867, skolem487(_u18867, _u18866))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18866), _u18867)) )).
% 20.36/20.58 cnf(fact_all__code-2, axiom, ( ~class_Enum_Oenum(_u18866) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18866), _u18867)) | hBOOL(hAPP(_u18867, _u18865)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_enum__all ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_enum__all-1, axiom, ( ~class_Enum_Oenum(_u18870) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18870), _u18871)) | hBOOL(hAPP(_u18871, _u18868)) )).
% 20.36/20.58 cnf(fact_enum__all-2, axiom, ( ~class_Enum_Oenum(_u18870) | ~hBOOL(hAPP(_u18871, skolem488(_u18871, _u18870))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18870), _u18871)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_enum__all__prod__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_enum__all__prod__def-1, axiom, ( ~class_Enum_Oenum(_u18872) | ~class_Enum_Oenum(_u18873) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(_u18873, _u18872)), _u18874)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18873), hAPP(hAPP(c_COMBB(tc_fun(_u18872, tc_HOL_Obool), tc_HOL_Obool, _u18873), c_Enum_Oenum__class_Oenum__all(_u18872)), hAPP(hAPP(c_COMBB(tc_fun(_u18872, tc_prod(_u18873, _u18872)), tc_fun(_u18872, tc_HOL_Obool), _u18873), hAPP(c_COMBB(tc_prod(_u18873, _u18872), tc_HOL_Obool, _u18872), _u18874)), c_Product__Type_OPair(_u18873, _u18872))))) )).
% 20.36/20.58 cnf(fact_enum__all__prod__def-2, axiom, ( ~class_Enum_Oenum(_u18872) | ~class_Enum_Oenum(_u18873) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18873), hAPP(hAPP(c_COMBB(tc_fun(_u18872, tc_HOL_Obool), tc_HOL_Obool, _u18873), c_Enum_Oenum__class_Oenum__all(_u18872)), hAPP(hAPP(c_COMBB(tc_fun(_u18872, tc_prod(_u18873, _u18872)), tc_fun(_u18872, tc_HOL_Obool), _u18873), hAPP(c_COMBB(tc_prod(_u18873, _u18872), tc_HOL_Obool, _u18872), _u18874)), c_Product__Type_OPair(_u18873, _u18872))))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(_u18873, _u18872)), _u18874)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_list__ball__nth ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_list__ball__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18876), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18877)), _u18878))) | hBOOL(hAPP(_u18879, hAPP(hAPP(c_List_Onth(_u18877), _u18878), _u18876))) | hBOOL(hAPP(hAPP(c_member(_u18877), skolem489(_u18879, _u18878, _u18877, _u18876)), hAPP(c_List_Oset(_u18877), _u18878))) )).
% 20.36/20.58 cnf(fact_list__ball__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18876), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18877)), _u18878))) | hBOOL(hAPP(_u18879, hAPP(hAPP(c_List_Onth(_u18877), _u18878), _u18876))) | ~hBOOL(hAPP(_u18879, skolem489(_u18879, _u18878, _u18877, _u18876))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sorted_OCons ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sorted_OCons-1, axiom, ( ~class_Orderings_Olinorder(_u18881) | ~c_List_Olinorder__class_Osorted(_u18881, _u18882) | c_List_Olinorder__class_Osorted(_u18881, hAPP(hAPP(c_List_Olist_OCons(_u18881), _u18883), _u18882)) | hBOOL(hAPP(hAPP(c_member(_u18881), skolem490(_u18883, _u18882, _u18881)), hAPP(c_List_Oset(_u18881), _u18882))) )).
% 20.36/20.58 cnf(fact_sorted_OCons-2, axiom, ( ~class_Orderings_Olinorder(_u18881) | ~c_List_Olinorder__class_Osorted(_u18881, _u18882) | c_List_Olinorder__class_Osorted(_u18881, hAPP(hAPP(c_List_Olist_OCons(_u18881), _u18883), _u18882)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18881), _u18883), skolem490(_u18883, _u18882, _u18881))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_list__ex__length ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_list__ex__length-1, axiom, ( ~c_List_Olist__ex(_u18889, _u18891, _u18893) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem491(_u18893, _u18891, _u18889)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18889)), _u18893))) )).
% 20.36/20.58 cnf(fact_list__ex__length-2, axiom, ( ~c_List_Olist__ex(_u18889, _u18891, _u18893) | hBOOL(hAPP(_u18891, hAPP(hAPP(c_List_Onth(_u18889), _u18893), skolem491(_u18893, _u18891, _u18889)))) )).
% 20.36/20.58 cnf(fact_list__ex__length-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18885), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18890)), _u18894))) | ~hBOOL(hAPP(_u18892, hAPP(hAPP(c_List_Onth(_u18890), _u18894), _u18885))) | c_List_Olist__ex(_u18890, _u18892, _u18894) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_in__set__conv__decomp ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_in__set__conv__decomp-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18902), _u18904), hAPP(c_List_Oset(_u18902), _u18906))) | ( _u18906 = hAPP(hAPP(c_List_Oappend(_u18902), skolem492(_u18906, _u18904, _u18902)), hAPP(hAPP(c_List_Olist_OCons(_u18902), _u18904), skolem493(_u18906, _u18904, _u18902)))) )).
% 20.36/20.58 cnf(fact_in__set__conv__decomp-2, axiom, ( ( _u18907 != hAPP(hAPP(c_List_Oappend(_u18903), _u18898), hAPP(hAPP(c_List_Olist_OCons(_u18903), _u18905), _u18897))) | hBOOL(hAPP(hAPP(c_member(_u18903), _u18905), hAPP(c_List_Oset(_u18903), _u18907))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_list__ex__simps_I2_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_list__ex__simps_I2_J-1, axiom, ( ~c_List_Olist__ex(_u18908, _u18909, c_List_Olist_ONil(_u18908)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_list__ex__append ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_list__ex__append-1, axiom, ( ~c_List_Olist__ex(_u18914, _u18916, hAPP(hAPP(c_List_Oappend(_u18914), _u18918), _u18920)) | c_List_Olist__ex(_u18914, _u18916, _u18918) | c_List_Olist__ex(_u18914, _u18916, _u18920) )).
% 20.36/20.58 cnf(fact_list__ex__append-2, axiom, ( c_List_Olist__ex(_u18915, _u18917, hAPP(hAPP(c_List_Oappend(_u18915), _u18919), _u18921)) | ~c_List_Olist__ex(_u18915, _u18917, _u18919) )).
% 20.36/20.58 cnf(fact_list__ex__append-3, axiom, ( c_List_Olist__ex(_u18915, _u18917, hAPP(hAPP(c_List_Oappend(_u18915), _u18919), _u18921)) | ~c_List_Olist__ex(_u18915, _u18917, _u18921) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_list__ex__iff ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_list__ex__iff-1, axiom, ( ~c_List_Olist__ex(_u18927, _u18929, _u18931) | hBOOL(hAPP(hAPP(c_member(_u18927), skolem494(_u18931, _u18929, _u18927)), hAPP(c_List_Oset(_u18927), _u18931))) )).
% 20.36/20.58 cnf(fact_list__ex__iff-2, axiom, ( ~c_List_Olist__ex(_u18927, _u18929, _u18931) | hBOOL(hAPP(_u18929, skolem494(_u18931, _u18929, _u18927))) )).
% 20.36/20.58 cnf(fact_list__ex__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18928), _u18923), hAPP(c_List_Oset(_u18928), _u18932))) | ~hBOOL(hAPP(_u18930, _u18923)) | c_List_Olist__ex(_u18928, _u18930, _u18932) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_list__ex__rev ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_list__ex__rev-1, axiom, ( ~c_List_Olist__ex(_u18936, _u18938, hAPP(c_List_Orev(_u18936), _u18940)) | c_List_Olist__ex(_u18936, _u18938, _u18940) )).
% 20.36/20.58 cnf(fact_list__ex__rev-2, axiom, ( ~c_List_Olist__ex(_u18937, _u18939, _u18941) | c_List_Olist__ex(_u18937, _u18939, hAPP(c_List_Orev(_u18937), _u18941)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_list__ex__simps_I1_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_list__ex__simps_I1_J-1, axiom, ( ~c_List_Olist__ex(_u18946, _u18948, hAPP(hAPP(c_List_Olist_OCons(_u18946), _u18950), _u18952)) | hBOOL(hAPP(_u18948, _u18950)) | c_List_Olist__ex(_u18946, _u18948, _u18952) )).
% 20.36/20.58 cnf(fact_list__ex__simps_I1_J-2, axiom, ( c_List_Olist__ex(_u18947, _u18949, hAPP(hAPP(c_List_Olist_OCons(_u18947), _u18951), _u18953)) | ~hBOOL(hAPP(_u18949, _u18951)) )).
% 20.36/20.58 cnf(fact_list__ex__simps_I1_J-3, axiom, ( c_List_Olist__ex(_u18947, _u18949, hAPP(hAPP(c_List_Olist_OCons(_u18947), _u18951), _u18953)) | ~c_List_Olist__ex(_u18947, _u18949, _u18953) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_in__set__conv__decomp__first ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_in__set__conv__decomp__first-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18961), _u18963), hAPP(c_List_Oset(_u18961), _u18965))) | ( _u18965 = hAPP(hAPP(c_List_Oappend(_u18961), skolem495(_u18965, _u18963, _u18961)), hAPP(hAPP(c_List_Olist_OCons(_u18961), _u18963), skolem496(_u18965, _u18963, _u18961)))) )).
% 20.36/20.58 cnf(fact_in__set__conv__decomp__first-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18961), _u18963), hAPP(c_List_Oset(_u18961), _u18965))) | ~hBOOL(hAPP(hAPP(c_member(_u18961), _u18963), hAPP(c_List_Oset(_u18961), skolem495(_u18965, _u18963, _u18961)))) )).
% 20.36/20.58 cnf(fact_in__set__conv__decomp__first-3, axiom, ( ( _u18966 != hAPP(hAPP(c_List_Oappend(_u18962), _u18957), hAPP(hAPP(c_List_Olist_OCons(_u18962), _u18964), _u18956))) | hBOOL(hAPP(hAPP(c_member(_u18962), _u18964), hAPP(c_List_Oset(_u18962), _u18957))) | hBOOL(hAPP(hAPP(c_member(_u18962), _u18964), hAPP(c_List_Oset(_u18962), _u18966))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_in__set__conv__decomp__last ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_in__set__conv__decomp__last-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18974), _u18976), hAPP(c_List_Oset(_u18974), _u18978))) | ( _u18978 = hAPP(hAPP(c_List_Oappend(_u18974), skolem497(_u18978, _u18976, _u18974)), hAPP(hAPP(c_List_Olist_OCons(_u18974), _u18976), skolem498(_u18978, _u18976, _u18974)))) )).
% 20.36/20.58 cnf(fact_in__set__conv__decomp__last-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18974), _u18976), hAPP(c_List_Oset(_u18974), _u18978))) | ~hBOOL(hAPP(hAPP(c_member(_u18974), _u18976), hAPP(c_List_Oset(_u18974), skolem498(_u18978, _u18976, _u18974)))) )).
% 20.36/20.58 cnf(fact_in__set__conv__decomp__last-3, axiom, ( ( _u18979 != hAPP(hAPP(c_List_Oappend(_u18975), _u18970), hAPP(hAPP(c_List_Olist_OCons(_u18975), _u18977), _u18969))) | hBOOL(hAPP(hAPP(c_member(_u18975), _u18977), hAPP(c_List_Oset(_u18975), _u18969))) | hBOOL(hAPP(hAPP(c_member(_u18975), _u18977), hAPP(c_List_Oset(_u18975), _u18979))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_list__all__length ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_list__all__length-1, axiom, ( ~c_List_Olist__all(_u18985, _u18987, _u18989) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18980), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18985)), _u18989))) | hBOOL(hAPP(_u18987, hAPP(hAPP(c_List_Onth(_u18985), _u18989), _u18980))) )).
% 20.36/20.58 cnf(fact_list__all__length-2, axiom, ( c_List_Olist__all(_u18986, _u18988, _u18990) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem499(_u18990, _u18988, _u18986)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18986)), _u18990))) )).
% 20.36/20.58 cnf(fact_list__all__length-3, axiom, ( c_List_Olist__all(_u18986, _u18988, _u18990) | ~hBOOL(hAPP(_u18988, hAPP(hAPP(c_List_Onth(_u18986), _u18990), skolem499(_u18990, _u18988, _u18986)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_measure__function__int ( axiom ) converted to clauses:
% 20.36/20.58 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))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_list__all__simps_I2_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_list__all__simps_I2_J-1, axiom, ( c_List_Olist__all(_u18991, _u18992, c_List_Olist_ONil(_u18991)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_list__all__append ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_list__all__append-1, axiom, ( ~c_List_Olist__all(_u18997, _u18999, hAPP(hAPP(c_List_Oappend(_u18997), _u19001), _u19003)) | c_List_Olist__all(_u18997, _u18999, _u19001) )).
% 20.36/20.58 cnf(fact_list__all__append-2, axiom, ( ~c_List_Olist__all(_u18997, _u18999, hAPP(hAPP(c_List_Oappend(_u18997), _u19001), _u19003)) | c_List_Olist__all(_u18997, _u18999, _u19003) )).
% 20.36/20.58 cnf(fact_list__all__append-3, axiom, ( ~c_List_Olist__all(_u18998, _u19000, _u19002) | ~c_List_Olist__all(_u18998, _u19000, _u19004) | c_List_Olist__all(_u18998, _u19000, hAPP(hAPP(c_List_Oappend(_u18998), _u19002), _u19004)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_measure__size ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_measure__size-1, axiom, ( ~class_Nat_Osize(_u19005) | c_FunDef_Ois__measure(_u19005, c_Nat_Osize__class_Osize(_u19005)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_is__measure_Osimps ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_is__measure_Osimps-1, axiom, ( c_FunDef_Ois__measure(_u19006, _u19007) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_is__measure_Oequations ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_is__measure_Oequations-1, axiom, ( c_FunDef_Ois__measure(_u19008, _u19009) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_is__measure_Ointros ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_is__measure_Ointros-1, axiom, ( c_FunDef_Ois__measure(_u19010, _u19011) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_list__all__iff ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_list__all__iff-1, axiom, ( ~c_List_Olist__all(_u19017, _u19019, _u19021) | ~hBOOL(hAPP(hAPP(c_member(_u19017), _u19012), hAPP(c_List_Oset(_u19017), _u19021))) | hBOOL(hAPP(_u19019, _u19012)) )).
% 20.36/20.58 cnf(fact_list__all__iff-2, axiom, ( c_List_Olist__all(_u19018, _u19020, _u19022) | hBOOL(hAPP(hAPP(c_member(_u19018), skolem500(_u19022, _u19020, _u19018)), hAPP(c_List_Oset(_u19018), _u19022))) )).
% 20.36/20.58 cnf(fact_list__all__iff-3, axiom, ( c_List_Olist__all(_u19018, _u19020, _u19022) | ~hBOOL(hAPP(_u19020, skolem500(_u19022, _u19020, _u19018))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_measure__fst ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_measure__fst-1, axiom, ( ~c_FunDef_Ois__measure(_u19023, _u19024) | c_FunDef_Ois__measure(tc_prod(_u19023, _u19025), hAPP(hAPP(c_COMBB(_u19023, tc_Nat_Onat, tc_prod(_u19023, _u19025)), _u19024), c_Product__Type_Ofst(_u19023, _u19025))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_measure__snd ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_measure__snd-1, axiom, ( ~c_FunDef_Ois__measure(_u19026, _u19027) | c_FunDef_Ois__measure(tc_prod(_u19028, _u19026), hAPP(hAPP(c_COMBB(_u19026, tc_Nat_Onat, tc_prod(_u19028, _u19026)), _u19027), c_Product__Type_Osnd(_u19028, _u19026))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_list__all__rev ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_list__all__rev-1, axiom, ( ~c_List_Olist__all(_u19032, _u19034, hAPP(c_List_Orev(_u19032), _u19036)) | c_List_Olist__all(_u19032, _u19034, _u19036) )).
% 20.36/20.58 cnf(fact_list__all__rev-2, axiom, ( ~c_List_Olist__all(_u19033, _u19035, _u19037) | c_List_Olist__all(_u19033, _u19035, hAPP(c_List_Orev(_u19033), _u19037)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_list__all__simps_I1_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_list__all__simps_I1_J-1, axiom, ( ~c_List_Olist__all(_u19042, _u19044, hAPP(hAPP(c_List_Olist_OCons(_u19042), _u19046), _u19048)) | hBOOL(hAPP(_u19044, _u19046)) )).
% 20.36/20.58 cnf(fact_list__all__simps_I1_J-2, axiom, ( ~c_List_Olist__all(_u19042, _u19044, hAPP(hAPP(c_List_Olist_OCons(_u19042), _u19046), _u19048)) | c_List_Olist__all(_u19042, _u19044, _u19048) )).
% 20.36/20.58 cnf(fact_list__all__simps_I1_J-3, axiom, ( ~hBOOL(hAPP(_u19045, _u19047)) | ~c_List_Olist__all(_u19043, _u19045, _u19049) | c_List_Olist__all(_u19043, _u19045, hAPP(hAPP(c_List_Olist_OCons(_u19043), _u19047), _u19049)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_Ball__set__list__all ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_Ball__set__list__all-1, axiom, ( c_List_Olist__all(_u19055, _u19059, _u19057) | hBOOL(hAPP(hAPP(c_member(_u19055), skolem501(_u19059, _u19057, _u19055)), hAPP(c_List_Oset(_u19055), _u19057))) )).
% 20.36/20.58 cnf(fact_Ball__set__list__all-2, axiom, ( c_List_Olist__all(_u19055, _u19059, _u19057) | ~hBOOL(hAPP(_u19059, skolem501(_u19059, _u19057, _u19055))) )).
% 20.36/20.58 cnf(fact_Ball__set__list__all-3, axiom, ( ~c_List_Olist__all(_u19056, _u19060, _u19058) | ~hBOOL(hAPP(hAPP(c_member(_u19056), _u19051), hAPP(c_List_Oset(_u19056), _u19058))) | hBOOL(hAPP(_u19060, _u19051)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_list__all__iff__raw ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_list__all__iff__raw-1, axiom, ( ~c_List_Olist__all(_u19066, _u19068, _u19070) | ~hBOOL(hAPP(hAPP(c_member(_u19066), _u19061), hAPP(c_List_Oset(_u19066), _u19070))) | hBOOL(hAPP(_u19068, _u19061)) )).
% 20.36/20.58 cnf(fact_list__all__iff__raw-2, axiom, ( c_List_Olist__all(_u19067, _u19069, _u19071) | hBOOL(hAPP(hAPP(c_member(_u19067), skolem502(_u19071, _u19069, _u19067)), hAPP(c_List_Oset(_u19067), _u19071))) )).
% 20.36/20.58 cnf(fact_list__all__iff__raw-3, axiom, ( c_List_Olist__all(_u19067, _u19069, _u19071) | ~hBOOL(hAPP(_u19069, skolem502(_u19071, _u19069, _u19067))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_list__ex1__simps_I2_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_list__ex1__simps_I2_J-1, axiom, ( ~c_List_Olist__ex1(_u19076, _u19078, hAPP(hAPP(c_List_Olist_OCons(_u19076), _u19080), _u19082)) | ~hBOOL(hAPP(_u19078, _u19080)) | c_List_Olist__all(_u19076, hAPP(hAPP(c_COMBS(_u19076, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19076), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19076), c_fNot), _u19078))), hAPP(c_fequal, _u19080)), _u19082) )).
% 20.36/20.58 cnf(fact_list__ex1__simps_I2_J-2, axiom, ( ~c_List_Olist__ex1(_u19076, _u19078, hAPP(hAPP(c_List_Olist_OCons(_u19076), _u19080), _u19082)) | hBOOL(hAPP(_u19078, _u19080)) | c_List_Olist__ex1(_u19076, _u19078, _u19082) )).
% 20.36/20.58 cnf(fact_list__ex1__simps_I2_J-3, axiom, ( c_List_Olist__ex1(_u19077, _u19079, hAPP(hAPP(c_List_Olist_OCons(_u19077), _u19081), _u19083)) | hBOOL(hAPP(_u19079, _u19081)) | ~c_List_Olist__ex1(_u19077, _u19079, _u19083) )).
% 20.36/20.58 cnf(fact_list__ex1__simps_I2_J-4, axiom, ( c_List_Olist__ex1(_u19077, _u19079, hAPP(hAPP(c_List_Olist_OCons(_u19077), _u19081), _u19083)) | ~c_List_Olist__all(_u19077, hAPP(hAPP(c_COMBS(_u19077, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19077), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19077), c_fNot), _u19079))), hAPP(c_fequal, _u19081)), _u19083) | ~hBOOL(hAPP(_u19079, _u19081)) )).
% 20.36/20.58 cnf(fact_list__ex1__simps_I2_J-5, axiom, ( c_List_Olist__ex1(_u19077, _u19079, hAPP(hAPP(c_List_Olist_OCons(_u19077), _u19081), _u19083)) | ~c_List_Olist__all(_u19077, hAPP(hAPP(c_COMBS(_u19077, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19077), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19077), c_fNot), _u19079))), hAPP(c_fequal, _u19081)), _u19083) | ~c_List_Olist__ex1(_u19077, _u19079, _u19083) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_transfer__morphism__int__nat ( axiom ) converted to clauses:
% 20.36/20.58 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)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_list__ex1__simps_I1_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_list__ex1__simps_I1_J-1, axiom, ( ~c_List_Olist__ex1(_u19084, _u19085, c_List_Olist_ONil(_u19084)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_bool_Osize_I3_J ( axiom ) converted to clauses:
% 20.36/20.58 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)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_bool_Osize_I4_J ( axiom ) converted to clauses:
% 20.36/20.58 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)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_list__ex1__iff ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_list__ex1__iff-1, axiom, ( ~c_List_Olist__ex1(_u19093, _u19095, _u19097) | hBOOL(hAPP(hAPP(c_member(_u19093), skolem503(_u19097, _u19095, _u19093)), hAPP(c_List_Oset(_u19093), _u19097))) )).
% 20.36/20.58 cnf(fact_list__ex1__iff-2, axiom, ( ~c_List_Olist__ex1(_u19093, _u19095, _u19097) | hBOOL(hAPP(_u19095, skolem503(_u19097, _u19095, _u19093))) )).
% 20.36/20.58 cnf(fact_list__ex1__iff-3, axiom, ( ~c_List_Olist__ex1(_u19093, _u19095, _u19097) | ~hBOOL(hAPP(hAPP(c_member(_u19093), _u19086), hAPP(c_List_Oset(_u19093), _u19097))) | ~hBOOL(hAPP(_u19095, _u19086)) | ( _u19086 = skolem503(_u19097, _u19095, _u19093)) )).
% 20.36/20.58 cnf(fact_list__ex1__iff-4, axiom, ( c_List_Olist__ex1(_u19094, _u19096, _u19098) | ~hBOOL(hAPP(hAPP(c_member(_u19094), _u19089), hAPP(c_List_Oset(_u19094), _u19098))) | ~hBOOL(hAPP(_u19096, _u19089)) | hBOOL(hAPP(hAPP(c_member(_u19094), skolem504(_u19098, _u19096, _u19094, _u19089)), hAPP(c_List_Oset(_u19094), _u19098))) )).
% 20.36/20.58 cnf(fact_list__ex1__iff-5, axiom, ( c_List_Olist__ex1(_u19094, _u19096, _u19098) | ~hBOOL(hAPP(hAPP(c_member(_u19094), _u19089), hAPP(c_List_Oset(_u19094), _u19098))) | ~hBOOL(hAPP(_u19096, _u19089)) | hBOOL(hAPP(_u19096, skolem504(_u19098, _u19096, _u19094, _u19089))) )).
% 20.36/20.58 cnf(fact_list__ex1__iff-6, axiom, ( c_List_Olist__ex1(_u19094, _u19096, _u19098) | ~hBOOL(hAPP(hAPP(c_member(_u19094), _u19089), hAPP(c_List_Oset(_u19094), _u19098))) | ~hBOOL(hAPP(_u19096, _u19089)) | ( skolem504(_u19098, _u19096, _u19094, _u19089) != _u19089) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_New__DSequence_Oneg__decr__bind__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_New__DSequence_Oneg__decr__bind__def-1, axiom, ( ( _u19104 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u19106, _u19108, _u19110, _u19112), _u19104) = c_Lazy__Sequence_Ohit__bound(_u19108)) )).
% 20.36/20.58 cnf(fact_New__DSequence_Oneg__decr__bind__def-2, axiom, ( ( _u19105 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u19107, _u19109, _u19111, _u19113), _u19105) = c_Lazy__Sequence_Ohb__bind(_u19107, _u19109, hAPP(_u19111, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u19105), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBC(_u19107, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u19109))), _u19113), _u19105))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_New__DSequence_Opos__decr__bind__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_New__DSequence_Opos__decr__bind__def-1, axiom, ( ( _u19119 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u19121, _u19123, _u19125, _u19127), _u19119) = c_Lazy__Sequence_Oempty(_u19123)) )).
% 20.36/20.58 cnf(fact_New__DSequence_Opos__decr__bind__def-2, axiom, ( ( _u19120 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u19122, _u19124, _u19126, _u19128), _u19120) = hAPP(c_Lazy__Sequence_Obind(_u19122, _u19124, hAPP(_u19126, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u19120), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))), hAPP(hAPP(c_COMBC(_u19122, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u19124)), _u19128), _u19120))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_New__Random__Sequence_Opos__decr__bind__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_New__Random__Sequence_Opos__decr__bind__def-1, axiom, ( ( c_New__Random__Sequence_Opos__decr__bind(_u19129, _u19130, _u19131, _u19132, _u19133, _u19134, _u19135) = c_New__DSequence_Opos__decr__bind(_u19129, _u19130, hAPP(hAPP(hAPP(_u19131, _u19133), _u19134), _u19135), hAPP(hAPP(c_COMBC(_u19129, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u19130))), hAPP(hAPP(c_COMBC(_u19129, 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(_u19130)))), hAPP(hAPP(c_COMBC(_u19129, 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(_u19130))))), _u19132), _u19133)), _u19134)), _u19135))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_New__Random__Sequence_Oneg__decr__bind__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_New__Random__Sequence_Oneg__decr__bind__def-1, axiom, ( ( c_New__Random__Sequence_Oneg__decr__bind(_u19136, _u19137, _u19138, _u19139, _u19140, _u19141, _u19142) = c_New__DSequence_Oneg__decr__bind(_u19136, _u19137, hAPP(hAPP(hAPP(_u19138, _u19140), _u19141), _u19142), hAPP(hAPP(c_COMBC(_u19136, 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(_u19137)))), hAPP(hAPP(c_COMBC(_u19136, 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(_u19137))))), hAPP(hAPP(c_COMBC(_u19136, 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(_u19137)))))), _u19139), _u19140)), _u19141)), _u19142))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_New__DSequence_Oneg__bind__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_New__DSequence_Oneg__bind__def-1, axiom, ( ( hAPP(c_New__DSequence_Oneg__bind(_u19143, _u19144, _u19145, _u19146), _u19147) = c_Lazy__Sequence_Ohb__bind(_u19143, _u19144, hAPP(_u19145, _u19147), hAPP(hAPP(c_COMBC(_u19143, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u19144))), _u19146), _u19147))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_New__DSequence_Opos__empty__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_New__DSequence_Opos__empty__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__empty(_u19148), _u19149) = c_Lazy__Sequence_Oempty(_u19148)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_pos__empty__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_pos__empty__def-1, axiom, ( ( c_New__Random__Sequence_Opos__empty(_u19150, _u19151, _u19152, _u19153) = c_New__DSequence_Opos__empty(_u19150)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_neg__bind__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_neg__bind__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(_u19154, _u19155, _u19156, _u19157), _u19158), _u19159), _u19160) = c_New__DSequence_Oneg__bind(_u19154, _u19155, hAPP(hAPP(hAPP(_u19156, _u19158), _u19159), _u19160), hAPP(hAPP(c_COMBC(_u19154, 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(_u19155)))), hAPP(hAPP(c_COMBC(_u19154, 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(_u19155))))), hAPP(hAPP(c_COMBC(_u19154, 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(_u19155)))))), _u19157), _u19158)), _u19159)), _u19160))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_New__DSequence_Opos__bind__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_New__DSequence_Opos__bind__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__bind(_u19161, _u19162, _u19163, _u19164), _u19165) = hAPP(c_Lazy__Sequence_Obind(_u19161, _u19162, hAPP(_u19163, _u19165)), hAPP(hAPP(c_COMBC(_u19161, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u19162)), _u19164), _u19165))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_neg__map__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_neg__map__def-1, axiom, ( ( c_New__Random__Sequence_Oneg__map(_u19166, _u19167, _u19168, _u19169) = c_New__Random__Sequence_Oneg__bind(_u19166, _u19167, _u19169, hAPP(c_Fun_Ocomp(_u19167, 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(_u19167)))))), _u19166, c_New__Random__Sequence_Oneg__single(_u19167)), _u19168))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_neg__single__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_neg__single__def-1, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__single(_u19170), _u19171), _u19172), _u19173), _u19174) = c_New__DSequence_Oneg__single(_u19170, _u19171)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_pos__bind__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_pos__bind__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(_u19175, _u19176, _u19177, _u19178), _u19179), _u19180), _u19181) = c_New__DSequence_Opos__bind(_u19175, _u19176, hAPP(hAPP(hAPP(_u19177, _u19179), _u19180), _u19181), hAPP(hAPP(c_COMBC(_u19175, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u19176))), hAPP(hAPP(c_COMBC(_u19175, 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(_u19176)))), hAPP(hAPP(c_COMBC(_u19175, 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(_u19176))))), _u19178), _u19179)), _u19180)), _u19181))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_New__DSequence_Oneg__single__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_New__DSequence_Oneg__single__def-1, axiom, ( ( hAPP(c_New__DSequence_Oneg__single(_u19182, _u19183), _u19184) = c_Lazy__Sequence_Ohb__single(_u19182, _u19183)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_pos__map__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_pos__map__def-1, axiom, ( ( c_New__Random__Sequence_Opos__map(_u19185, _u19186, _u19187, _u19188) = c_New__Random__Sequence_Opos__bind(_u19185, _u19186, _u19188, hAPP(c_Fun_Ocomp(_u19186, 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(_u19186))))), _u19185, c_New__Random__Sequence_Opos__single(_u19186)), _u19187))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_pos__single__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_pos__single__def-1, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__single(_u19189), _u19190), _u19191), _u19192), _u19193) = c_New__DSequence_Opos__single(_u19189, _u19190)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_length__splice ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_length__splice-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19194)), c_List_Osplice(_u19194, _u19195, _u19196)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19194)), _u19195)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19194)), _u19196))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_splice_Osimps_I3_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_splice_Osimps_I3_J-1, axiom, ( ( c_List_Osplice(_u19197, hAPP(hAPP(c_List_Olist_OCons(_u19197), _u19198), _u19199), hAPP(hAPP(c_List_Olist_OCons(_u19197), _u19200), _u19201)) = hAPP(hAPP(c_List_Olist_OCons(_u19197), _u19198), hAPP(hAPP(c_List_Olist_OCons(_u19197), _u19200), c_List_Osplice(_u19197, _u19199, _u19201)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_splice_Osimps_I1_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_splice_Osimps_I1_J-1, axiom, ( ( c_List_Osplice(_u19202, c_List_Olist_ONil(_u19202), _u19203) = _u19203) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_splice__Nil2 ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_splice__Nil2-1, axiom, ( ( c_List_Osplice(_u19204, _u19205, c_List_Olist_ONil(_u19204)) = _u19205) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_splice_Osimps_I2_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_splice_Osimps_I2_J-1, axiom, ( ( c_List_Osplice(_u19206, hAPP(hAPP(c_List_Olist_OCons(_u19206), _u19207), _u19208), c_List_Olist_ONil(_u19206)) = hAPP(hAPP(c_List_Olist_OCons(_u19206), _u19207), _u19208)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_New__DSequence_Opos__single__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_New__DSequence_Opos__single__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__single(_u19209, _u19210), _u19211) = hAPP(c_Lazy__Sequence_Osingle(_u19209), _u19210)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_acyclicP__converse ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_acyclicP__converse-1, axiom, ( ~c_Wellfounded_Oacyclic(_u19214, hAPP(c_Set_OCollect(tc_prod(_u19214, _u19214)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19214, _u19214, tc_HOL_Obool), c_Predicate_Oconversep(_u19214, _u19214, _u19216)))) | c_Wellfounded_Oacyclic(_u19214, hAPP(c_Set_OCollect(tc_prod(_u19214, _u19214)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19214, _u19214, tc_HOL_Obool), _u19216))) )).
% 20.36/20.58 cnf(fact_acyclicP__converse-2, axiom, ( ~c_Wellfounded_Oacyclic(_u19215, hAPP(c_Set_OCollect(tc_prod(_u19215, _u19215)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19215, _u19215, tc_HOL_Obool), _u19217))) | c_Wellfounded_Oacyclic(_u19215, hAPP(c_Set_OCollect(tc_prod(_u19215, _u19215)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19215, _u19215, tc_HOL_Obool), c_Predicate_Oconversep(_u19215, _u19215, _u19217)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_converse__meet ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_converse__meet-1, axiom, ( ( c_Predicate_Oconversep(_u19218, _u19219, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19218, tc_fun(_u19219, tc_HOL_Obool))), _u19220), _u19221)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19219, tc_fun(_u19218, tc_HOL_Obool))), c_Predicate_Oconversep(_u19218, _u19219, _u19220)), c_Predicate_Oconversep(_u19218, _u19219, _u19221))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_converse__join ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_converse__join-1, axiom, ( ( c_Predicate_Oconversep(_u19222, _u19223, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19222, tc_fun(_u19223, tc_HOL_Obool))), _u19224), _u19225)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19223, tc_fun(_u19222, tc_HOL_Obool))), c_Predicate_Oconversep(_u19222, _u19223, _u19224)), c_Predicate_Oconversep(_u19222, _u19223, _u19225))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_converse__pred__comp ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_converse__pred__comp-1, axiom, ( ( c_Predicate_Oconversep(_u19226, _u19227, c_Predicate_Opred__comp(_u19226, _u19228, _u19227, _u19229, _u19230)) = c_Predicate_Opred__comp(_u19227, _u19228, _u19226, c_Predicate_Oconversep(_u19228, _u19227, _u19230), c_Predicate_Oconversep(_u19226, _u19228, _u19229))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_conversep__noteq ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_conversep__noteq-1, axiom, ( ( _u19236 != _u19238) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19234, _u19234, hAPP(hAPP(c_COMBB(tc_fun(_u19234, tc_HOL_Obool), tc_fun(_u19234, tc_HOL_Obool), _u19234), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19234), c_fNot)), c_fequal)), _u19236), _u19238)) )).
% 20.36/20.58 cnf(fact_conversep__noteq-2, axiom, ( ( _u19237 = _u19239) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19235, _u19235, hAPP(hAPP(c_COMBB(tc_fun(_u19235, tc_HOL_Obool), tc_fun(_u19235, tc_HOL_Obool), _u19235), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19235), c_fNot)), c_fequal)), _u19237), _u19239)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_conversepD ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_conversepD-1, axiom, ( hBOOL(hAPP(hAPP(_u19242, _u19244), _u19243)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19240, _u19241, _u19242), _u19243), _u19244)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_conversep_Ointros ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_conversep_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u19245, _u19246), _u19247)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19248, _u19249, _u19245), _u19247), _u19246)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_conversep_Oequations ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_conversep_Oequations-1, axiom, ( hBOOL(hAPP(hAPP(_u19259, _u19263), _u19261)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19255, _u19257, _u19259), _u19261), _u19263)) )).
% 20.36/20.58 cnf(fact_conversep_Oequations-2, axiom, ( ~hBOOL(hAPP(hAPP(_u19260, _u19264), _u19262)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19256, _u19258, _u19260), _u19262), _u19264)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_conversep__iff ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_conversep__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u19274, _u19278), _u19276)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19270, _u19272, _u19274), _u19276), _u19278)) )).
% 20.36/20.58 cnf(fact_conversep__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u19275, _u19279), _u19277)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19271, _u19273, _u19275), _u19277), _u19279)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_conversep__conversep ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_conversep__conversep-1, axiom, ( ( c_Predicate_Oconversep(_u19280, _u19281, c_Predicate_Oconversep(_u19281, _u19280, _u19282)) = _u19282) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_conversep__eq ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_conversep__eq-1, axiom, ( ( c_Predicate_Oconversep(_u19283, _u19283, c_fequal) = c_fequal) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_conversep__converse__eq ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_conversep__converse__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19289, _u19291, hAPP(hAPP(c_COMBC(_u19289, tc_fun(tc_prod(_u19289, _u19291), tc_HOL_Obool), tc_fun(_u19291, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19291, tc_fun(tc_fun(tc_prod(_u19289, _u19291), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u19289, _u19291), tc_HOL_Obool), tc_fun(_u19291, tc_HOL_Obool)), _u19289), c_COMBC(_u19291, tc_fun(tc_prod(_u19289, _u19291), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19291, tc_prod(_u19289, _u19291)), tc_fun(_u19291, tc_fun(tc_fun(tc_prod(_u19289, _u19291), tc_HOL_Obool), tc_HOL_Obool)), _u19289), hAPP(c_COMBB(tc_prod(_u19289, _u19291), tc_fun(tc_fun(tc_prod(_u19289, _u19291), tc_HOL_Obool), tc_HOL_Obool), _u19291), c_member(tc_prod(_u19289, _u19291)))), c_Product__Type_OPair(_u19289, _u19291)))), _u19293)), _u19295), _u19297)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19291, _u19289)), hAPP(hAPP(c_Product__Type_OPair(_u19291, _u19289), _u19295), _u19297)), hAPP(c_Relation_Oconverse(_u19289, _u19291), _u19293))) )).
% 20.36/20.58 cnf(fact_conversep__converse__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19292, _u19290)), hAPP(hAPP(c_Product__Type_OPair(_u19292, _u19290), _u19296), _u19298)), hAPP(c_Relation_Oconverse(_u19290, _u19292), _u19294))) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19290, _u19292, hAPP(hAPP(c_COMBC(_u19290, tc_fun(tc_prod(_u19290, _u19292), tc_HOL_Obool), tc_fun(_u19292, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19292, tc_fun(tc_fun(tc_prod(_u19290, _u19292), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u19290, _u19292), tc_HOL_Obool), tc_fun(_u19292, tc_HOL_Obool)), _u19290), c_COMBC(_u19292, tc_fun(tc_prod(_u19290, _u19292), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19292, tc_prod(_u19290, _u19292)), tc_fun(_u19292, tc_fun(tc_fun(tc_prod(_u19290, _u19292), tc_HOL_Obool), tc_HOL_Obool)), _u19290), hAPP(c_COMBB(tc_prod(_u19290, _u19292), tc_fun(tc_fun(tc_prod(_u19290, _u19292), tc_HOL_Obool), tc_HOL_Obool), _u19292), c_member(tc_prod(_u19290, _u19292)))), c_Product__Type_OPair(_u19290, _u19292)))), _u19294)), _u19296), _u19298)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_ ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_-1, axiom, ( ( c_Lazy__Sequence_Oproduct(_u19299, _u19300, _u19301, _u19302) = hAPP(c_Lazy__Sequence_Obind(_u19299, tc_prod(_u19299, _u19300), _u19301), hAPP(hAPP(c_COMBB(tc_fun(_u19300, tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19299, _u19300))), tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19299, _u19300)), _u19299), c_Lazy__Sequence_Obind(_u19300, tc_prod(_u19299, _u19300), _u19302)), hAPP(hAPP(c_COMBB(tc_fun(_u19300, tc_prod(_u19299, _u19300)), tc_fun(_u19300, tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19299, _u19300))), _u19299), hAPP(c_COMBB(tc_prod(_u19299, _u19300), tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19299, _u19300)), _u19300), c_Lazy__Sequence_Osingle(tc_prod(_u19299, _u19300)))), c_Product__Type_OPair(_u19299, _u19300))))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_tl__replicate ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_tl__replicate-1, axiom, ( ( _u19303 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Otl(_u19304), c_List_Oreplicate(_u19304, _u19303, _u19305)) = c_List_Oreplicate(_u19304, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19303), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u19305)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_replicate__length__filter ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_replicate__length__filter-1, axiom, ( ( c_List_Oreplicate(_u19306, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19306)), hAPP(c_List_Ofilter(_u19306, hAPP(c_fequal, _u19307)), _u19308)), _u19307) = hAPP(c_List_Ofilter(_u19306, hAPP(c_fequal, _u19307)), _u19308)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_length__replicate ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_length__replicate-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19309)), c_List_Oreplicate(_u19309, _u19310, _u19311)) = _u19310) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_map__replicate__const ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_map__replicate__const-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u19312, _u19313), hAPP(c_COMBK(_u19313, _u19312), _u19314)), _u19315) = c_List_Oreplicate(_u19313, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19312)), _u19315), _u19314)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_replicate__app__Cons__same ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_replicate__app__Cons__same-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19316), c_List_Oreplicate(_u19316, _u19317, _u19318)), hAPP(hAPP(c_List_Olist_OCons(_u19316), _u19318), _u19319)) = hAPP(hAPP(c_List_Olist_OCons(_u19316), _u19318), hAPP(hAPP(c_List_Oappend(_u19316), c_List_Oreplicate(_u19316, _u19317, _u19318)), _u19319))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_replicate__Suc ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_replicate__Suc-1, axiom, ( ( c_List_Oreplicate(_u19320, hAPP(c_Nat_OSuc, _u19321), _u19322) = hAPP(hAPP(c_List_Olist_OCons(_u19320), _u19322), c_List_Oreplicate(_u19320, _u19321, _u19322))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_rev__replicate ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_rev__replicate-1, axiom, ( ( hAPP(c_List_Orev(_u19323), c_List_Oreplicate(_u19323, _u19324, _u19325)) = c_List_Oreplicate(_u19323, _u19324, _u19325)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_take__replicate ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_take__replicate-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u19326), _u19327), c_List_Oreplicate(_u19326, _u19328, _u19329)) = c_List_Oreplicate(_u19326, hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u19327), _u19328), _u19329)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_drop__replicate ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_drop__replicate-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19330), _u19331), c_List_Oreplicate(_u19330, _u19332, _u19333)) = c_List_Oreplicate(_u19330, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19332), _u19331), _u19333)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_hd__replicate ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_hd__replicate-1, axiom, ( ( _u19334 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Ohd(_u19335), c_List_Oreplicate(_u19335, _u19334, _u19336)) = _u19336) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_last__replicate ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_last__replicate-1, axiom, ( ( _u19337 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olast(_u19338, c_List_Oreplicate(_u19338, _u19337, _u19339)) = _u19339) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_zip__replicate ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_zip__replicate-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u19340, _u19341), c_List_Oreplicate(_u19340, _u19342, _u19343)), c_List_Oreplicate(_u19341, _u19344, _u19345)) = c_List_Oreplicate(tc_prod(_u19340, _u19341), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u19342), _u19344), hAPP(hAPP(c_Product__Type_OPair(_u19340, _u19341), _u19343), _u19345))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_Bex__set__replicate ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_Bex__set__replicate-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19352), _u19346), hAPP(c_List_Oset(_u19352), c_List_Oreplicate(_u19352, _u19354, _u19356)))) | ~hBOOL(hAPP(_u19358, _u19346)) | hBOOL(hAPP(_u19358, _u19356)) )).
% 20.36/20.58 cnf(fact_Bex__set__replicate-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19352), _u19346), hAPP(c_List_Oset(_u19352), c_List_Oreplicate(_u19352, _u19354, _u19356)))) | ~hBOOL(hAPP(_u19358, _u19346)) | ( _u19354 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.58 cnf(fact_Bex__set__replicate-3, axiom, ( ~hBOOL(hAPP(_u19359, _u19357)) | ( _u19355 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u19353), skolem505(_u19359, _u19357, _u19355, _u19353)), hAPP(c_List_Oset(_u19353), c_List_Oreplicate(_u19353, _u19355, _u19357)))) )).
% 20.36/20.58 cnf(fact_Bex__set__replicate-4, axiom, ( ~hBOOL(hAPP(_u19359, _u19357)) | ( _u19355 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u19359, skolem505(_u19359, _u19357, _u19355, _u19353))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_Ball__set__replicate ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_Ball__set__replicate-1, axiom, ( hBOOL(hAPP(_u19372, _u19370)) | ( _u19368 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u19366), skolem506(_u19372, _u19370, _u19368, _u19366)), hAPP(c_List_Oset(_u19366), c_List_Oreplicate(_u19366, _u19368, _u19370)))) )).
% 20.36/20.58 cnf(fact_Ball__set__replicate-2, axiom, ( hBOOL(hAPP(_u19372, _u19370)) | ( _u19368 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u19372, skolem506(_u19372, _u19370, _u19368, _u19366))) )).
% 20.36/20.58 cnf(fact_Ball__set__replicate-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19367), _u19361), hAPP(c_List_Oset(_u19367), c_List_Oreplicate(_u19367, _u19369, _u19371)))) | hBOOL(hAPP(_u19373, _u19361)) | ~hBOOL(hAPP(_u19373, _u19371)) )).
% 20.36/20.58 cnf(fact_Ball__set__replicate-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19367), _u19361), hAPP(c_List_Oset(_u19367), c_List_Oreplicate(_u19367, _u19369, _u19371)))) | hBOOL(hAPP(_u19373, _u19361)) | ( _u19369 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_replicate__eq__replicate ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_replicate__eq__replicate-1, axiom, ( ( c_List_Oreplicate(_u19379, _u19381, _u19383) != c_List_Oreplicate(_u19379, _u19385, _u19387)) | ( _u19381 = _u19385) )).
% 20.36/20.58 cnf(fact_replicate__eq__replicate-2, axiom, ( ( c_List_Oreplicate(_u19379, _u19381, _u19383) != c_List_Oreplicate(_u19379, _u19385, _u19387)) | ( _u19381 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u19383 = _u19387) )).
% 20.36/20.58 cnf(fact_replicate__eq__replicate-3, axiom, ( ( c_List_Oreplicate(_u19380, _u19382, _u19384) = c_List_Oreplicate(_u19380, _u19386, _u19388)) | ( _u19382 != _u19386) | ( _u19382 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.58 cnf(fact_replicate__eq__replicate-4, axiom, ( ( c_List_Oreplicate(_u19380, _u19382, _u19384) = c_List_Oreplicate(_u19380, _u19386, _u19388)) | ( _u19382 != _u19386) | ( _u19384 != _u19388) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_nth__replicate ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_nth__replicate-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19389), _u19390)) | ( hAPP(hAPP(c_List_Onth(_u19391), c_List_Oreplicate(_u19391, _u19390, _u19392)), _u19389) = _u19392) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_replicate__add ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_replicate__add-1, axiom, ( ( c_List_Oreplicate(_u19393, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19394), _u19395), _u19396) = hAPP(hAPP(c_List_Oappend(_u19393), c_List_Oreplicate(_u19393, _u19394, _u19396)), c_List_Oreplicate(_u19393, _u19395, _u19396))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_append__replicate__commute ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_append__replicate__commute-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19397), c_List_Oreplicate(_u19397, _u19398, _u19399)), c_List_Oreplicate(_u19397, _u19400, _u19399)) = hAPP(hAPP(c_List_Oappend(_u19397), c_List_Oreplicate(_u19397, _u19400, _u19399)), c_List_Oreplicate(_u19397, _u19398, _u19399))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_filter__replicate ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_filter__replicate-1, axiom, ( ~hBOOL(hAPP(_u19405, _u19407)) | ( hAPP(c_List_Ofilter(_u19409, _u19405), c_List_Oreplicate(_u19409, _u19411, _u19407)) = c_List_Oreplicate(_u19409, _u19411, _u19407)) )).
% 20.36/20.58 cnf(fact_filter__replicate-2, axiom, ( hBOOL(hAPP(_u19406, _u19408)) | ( hAPP(c_List_Ofilter(_u19410, _u19406), c_List_Oreplicate(_u19410, _u19412, _u19408)) = c_List_Olist_ONil(_u19410)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_concat__replicate__trivial ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_concat__replicate__trivial-1, axiom, ( ( c_List_Oconcat(_u19413, c_List_Oreplicate(tc_List_Olist(_u19413), _u19414, c_List_Olist_ONil(_u19413))) = c_List_Olist_ONil(_u19413)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_replicate__0 ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_replicate__0-1, axiom, ( ( c_List_Oreplicate(_u19415, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u19416) = c_List_Olist_ONil(_u19415)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_empty__replicate ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_empty__replicate-1, axiom, ( ( _u19422 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olist_ONil(_u19420) != c_List_Oreplicate(_u19420, _u19422, _u19424)) )).
% 20.36/20.58 cnf(fact_empty__replicate-2, axiom, ( ( _u19423 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olist_ONil(_u19421) = c_List_Oreplicate(_u19421, _u19423, _u19425)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_replicate__empty ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_replicate__empty-1, axiom, ( ( _u19431 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Oreplicate(_u19429, _u19431, _u19433) != c_List_Olist_ONil(_u19429)) )).
% 20.36/20.58 cnf(fact_replicate__empty-2, axiom, ( ( _u19432 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Oreplicate(_u19430, _u19432, _u19434) = c_List_Olist_ONil(_u19430)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_map__replicate ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_map__replicate-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u19435, _u19436), _u19437), c_List_Oreplicate(_u19435, _u19438, _u19439)) = c_List_Oreplicate(_u19436, _u19438, hAPP(_u19437, _u19439))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_in__set__replicate ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_in__set__replicate-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19444), _u19446), hAPP(c_List_Oset(_u19444), c_List_Oreplicate(_u19444, _u19448, _u19450)))) | ( _u19446 = _u19450) )).
% 20.36/20.58 cnf(fact_in__set__replicate-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19444), _u19446), hAPP(c_List_Oset(_u19444), c_List_Oreplicate(_u19444, _u19448, _u19450)))) | ( _u19448 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.58 cnf(fact_in__set__replicate-3, axiom, ( ( _u19447 != _u19451) | ( _u19449 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u19445), _u19447), hAPP(c_List_Oset(_u19445), c_List_Oreplicate(_u19445, _u19449, _u19451)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_replicate__append__same ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_replicate__append__same-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19452), c_List_Oreplicate(_u19452, _u19453, _u19454)), hAPP(hAPP(c_List_Olist_OCons(_u19452), _u19454), c_List_Olist_ONil(_u19452))) = hAPP(hAPP(c_List_Olist_OCons(_u19452), _u19454), c_List_Oreplicate(_u19452, _u19453, _u19454))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_map__replicate__trivial ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_map__replicate__trivial-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u19455), hAPP(c_COMBK(_u19455, tc_Nat_Onat), _u19456)), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u19457)) = c_List_Oreplicate(_u19455, _u19457, _u19456)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_set__replicate ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_set__replicate-1, axiom, ( ( _u19458 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u19459), c_List_Oreplicate(_u19459, _u19458, _u19460)) = hAPP(hAPP(c_Set_Oinsert(_u19459), _u19460), c_Orderings_Obot__class_Obot(tc_fun(_u19459, tc_HOL_Obool)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_set__replicate__conv__if ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_set__replicate__conv__if-1, axiom, ( ( _u19464 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u19466), c_List_Oreplicate(_u19466, _u19464, _u19468)) = c_Orderings_Obot__class_Obot(tc_fun(_u19466, tc_HOL_Obool))) )).
% 20.36/20.58 cnf(fact_set__replicate__conv__if-2, axiom, ( ( _u19465 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u19467), c_List_Oreplicate(_u19467, _u19465, _u19469)) = hAPP(hAPP(c_Set_Oinsert(_u19467), _u19469), c_Orderings_Obot__class_Obot(tc_fun(_u19467, tc_HOL_Obool)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_set__replicate__Suc ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_set__replicate__Suc-1, axiom, ( ( hAPP(c_List_Oset(_u19470), c_List_Oreplicate(_u19470, hAPP(c_Nat_OSuc, _u19471), _u19472)) = hAPP(hAPP(c_Set_Oinsert(_u19470), _u19472), c_Orderings_Obot__class_Obot(tc_fun(_u19470, tc_HOL_Obool)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_small__lazy__list_Osimps ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_small__lazy__list_Osimps-1, axiom, ( ~class_Lazy__Sequence_Osmall__lazy(_u19473) | ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(_u19473), _u19474) = c_Lazy__Sequence_Oappend(tc_List_Olist(_u19473), hAPP(c_Lazy__Sequence_Osingle(tc_List_Olist(_u19473)), c_List_Olist_ONil(_u19473)), hAPP(hAPP(hAPP(c_If(tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19473))), hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u19474)), hAPP(c_Lazy__Sequence_Obind(tc_prod(_u19473, tc_List_Olist(_u19473)), tc_List_Olist(_u19473), c_Lazy__Sequence_Oproduct(_u19473, tc_List_Olist(_u19473), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u19473, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u19474), c_Groups_Oone__class_Oone(tc_Int_Oint))), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(_u19473), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u19474), c_Groups_Oone__class_Oone(tc_Int_Oint))))), hAPP(c_Product__Type_Oprod_Oprod__case(_u19473, tc_List_Olist(_u19473), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19473))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u19473), tc_List_Olist(_u19473)), tc_fun(tc_List_Olist(_u19473), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19473))), _u19473), hAPP(c_COMBB(tc_List_Olist(_u19473), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19473)), tc_List_Olist(_u19473)), c_Lazy__Sequence_Osingle(tc_List_Olist(_u19473)))), c_List_Olist_OCons(_u19473))))), c_Lazy__Sequence_Oempty(tc_List_Olist(_u19473))))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_eq__comp__r ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_eq__comp__r-1, axiom, ( ( c_Predicate_Opred__comp(_u19475, _u19475, _u19475, c_fequal, c_Predicate_Opred__comp(_u19475, _u19475, _u19475, _u19476, c_fequal)) = _u19476) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_small__lazy__prod__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_small__lazy__prod__def-1, axiom, ( ~class_Lazy__Sequence_Osmall__lazy(_u19477) | ~class_Lazy__Sequence_Osmall__lazy(_u19478) | ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_prod(_u19477, _u19478), _u19479) = c_Lazy__Sequence_Oproduct(_u19477, _u19478, c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u19477, _u19479), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u19478, _u19479))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_New__DSequence_Opos__union__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_New__DSequence_Opos__union__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__union(_u19480, _u19481, _u19482), _u19483) = c_Lazy__Sequence_Oappend(_u19480, hAPP(_u19481, _u19483), hAPP(_u19482, _u19483))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_lazy__sequence_Osize_I4_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_lazy__sequence_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19484)), c_Lazy__Sequence_Olazy__sequence_OInsert(_u19484, _u19485, _u19486)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19484)), _u19486)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact__01 ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact__01-1, axiom, ( ( c_Lazy__Sequence_Oappend(_u19487, c_Lazy__Sequence_Olazy__sequence_OInsert(_u19487, _u19488, _u19489), _u19490) = c_Lazy__Sequence_Olazy__sequence_OInsert(_u19487, _u19488, c_Lazy__Sequence_Oappend(_u19487, _u19489, _u19490))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_lazy__sequence_Oinject ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_lazy__sequence_Oinject-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u19496, _u19498, _u19500) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u19496, _u19502, _u19504)) | ( _u19498 = _u19502) )).
% 20.36/20.58 cnf(fact_lazy__sequence_Oinject-2, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u19496, _u19498, _u19500) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u19496, _u19502, _u19504)) | ( _u19500 = _u19504) )).
% 20.36/20.58 cnf(fact_lazy__sequence_Oinject-3, axiom, ( ( _u19499 != _u19503) | ( _u19501 != _u19505) | ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u19497, _u19499, _u19501) = c_Lazy__Sequence_Olazy__sequence_OInsert(_u19497, _u19503, _u19505)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_pos__union__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_pos__union__def-1, axiom, ( ( c_New__Random__Sequence_Opos__union(_u19506, _u19507, _u19508, _u19509, _u19510, _u19511) = c_New__DSequence_Opos__union(_u19506, hAPP(hAPP(hAPP(_u19507, _u19509), _u19510), _u19511), hAPP(hAPP(hAPP(_u19508, _u19509), _u19510), _u19511))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_lazy__sequence_Osize_I2_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_lazy__sequence_Osize_I2_J-1, axiom, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19512, _u19513), c_Lazy__Sequence_Olazy__sequence_OInsert(_u19512, _u19514, _u19515)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u19513, _u19514)), hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19512, _u19513), _u19515))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_small__lazy_H_Osimps ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_small__lazy_H_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u19518), _u19520)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u19518, _u19520) = c_Lazy__Sequence_Oempty(tc_Int_Oint)) )).
% 20.36/20.58 cnf(fact_small__lazy_H_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u19519), _u19521)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u19519, _u19521) = c_Lazy__Sequence_Oappend(tc_Int_Oint, hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint), _u19521), c_Lazy__Sequence_Osmall__lazy_H(_u19519, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u19521), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_small__lazy_H_Opsimps ( axiom ) converted to clauses:
% 20.36/20.58 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), _u19522), _u19523))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u19522), _u19523)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u19522, _u19523) = c_Lazy__Sequence_Oempty(tc_Int_Oint)) )).
% 20.36/20.58 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), _u19522), _u19523))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u19522), _u19523)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u19522, _u19523) = c_Lazy__Sequence_Oappend(tc_Int_Oint, hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint), _u19523), c_Lazy__Sequence_Osmall__lazy_H(_u19522, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u19523), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_small__lazy__int__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_small__lazy__int__def-1, axiom, ( ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_Int_Oint, _u19524) = c_Lazy__Sequence_Osmall__lazy_H(_u19524, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u19524))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_small__lazy_H_Opinduct ( axiom ) converted to clauses:
% 20.36/20.58 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), _u19527), _u19528))) | hBOOL(hAPP(hAPP(_u19529, _u19527), _u19528)) | 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), skolem507(_u19529, _u19528, _u19527)), skolem508(_u19529, _u19528, _u19527)))) )).
% 20.36/20.58 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), _u19527), _u19528))) | hBOOL(hAPP(hAPP(_u19529, _u19527), _u19528)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem507(_u19529, _u19528, _u19527)), skolem508(_u19529, _u19528, _u19527))) | hBOOL(hAPP(hAPP(_u19529, skolem507(_u19529, _u19528, _u19527)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem508(_u19529, _u19528, _u19527)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 20.36/20.58 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), _u19527), _u19528))) | hBOOL(hAPP(hAPP(_u19529, _u19527), _u19528)) | ~hBOOL(hAPP(hAPP(_u19529, skolem507(_u19529, _u19528, _u19527)), skolem508(_u19529, _u19528, _u19527))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_size__code ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_size__code-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19530)), _u19531) = c_Option_Ooption_Ooption__case(tc_Nat_Onat, tc_prod(_u19530, tc_Lazy__Sequence_Olazy__sequence(_u19530)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Product__Type_Oprod_Oprod__case(_u19530, tc_Lazy__Sequence_Olazy__sequence(_u19530), tc_Nat_Onat), hAPP(c_COMBK(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19530), tc_Nat_Onat), _u19530), hAPP(hAPP(c_COMBC(tc_Lazy__Sequence_Olazy__sequence(_u19530), 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(_u19530)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19530)))), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(c_Lazy__Sequence_Oyield(_u19530), _u19531))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_lazy__sequence__size__code ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_lazy__sequence__size__code-1, axiom, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19532, _u19533), _u19534) = c_Option_Ooption_Ooption__case(tc_Nat_Onat, tc_prod(_u19532, tc_Lazy__Sequence_Olazy__sequence(_u19532)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Product__Type_Oprod_Oprod__case(_u19532, tc_Lazy__Sequence_Olazy__sequence(_u19532), tc_Nat_Onat), hAPP(hAPP(c_COMBC(_u19532, tc_Nat_Onat, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19532), tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19532), tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_fun(tc_Nat_Onat, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19532), tc_Nat_Onat)), _u19532), c_COMBC(tc_Lazy__Sequence_Olazy__sequence(_u19532), tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19532), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19532), tc_fun(tc_Nat_Onat, tc_Nat_Onat)), _u19532), hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_Lazy__Sequence_Olazy__sequence(_u19532)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat))), hAPP(hAPP(c_COMBC(_u19532, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19532), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19532), tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_fun(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19532), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19532), tc_Nat_Onat)), _u19532), c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Lazy__Sequence_Olazy__sequence(_u19532))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), _u19532), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u19533))), c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19532, _u19533))))), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_Lazy__Sequence_Oyield(_u19532), _u19534))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_seq__case ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_seq__case-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u19535, _u19536, _u19537, _u19538, _u19539) = c_Option_Ooption_Ooption__case(_u19535, tc_prod(_u19536, tc_Lazy__Sequence_Olazy__sequence(_u19536)), _u19537, hAPP(c_Product__Type_Oprod_Oprod__case(_u19536, tc_Lazy__Sequence_Olazy__sequence(_u19536), _u19535), _u19538), hAPP(c_Lazy__Sequence_Oyield(_u19536), _u19539))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_yieldn__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_yieldn__def-1, axiom, ( ( c_Lazy__Sequence_Oyieldn(_u19540) = c_Lazy__Sequence_Oanamorph(tc_Lazy__Sequence_Olazy__sequence(_u19540), _u19540, c_Lazy__Sequence_Oyield(_u19540))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_lazy__sequence_Osimps_I5_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_lazy__sequence_Osimps_I5_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u19541, _u19542, _u19543, _u19544, c_Lazy__Sequence_Olazy__sequence_OInsert(_u19542, _u19545, _u19546)) = hAPP(hAPP(_u19544, _u19545), _u19546)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_refl__on__INTER ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_refl__on__INTER-1, axiom, ( c_Relation_Orefl__on(_u19550, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19548, tc_fun(_u19550, tc_HOL_Obool)), _u19549), _u19551), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19548, tc_fun(tc_prod(_u19550, _u19550), tc_HOL_Obool)), _u19549), _u19552)) | hBOOL(hAPP(hAPP(c_member(_u19548), skolem509(_u19552, _u19551, _u19550, _u19549, _u19548)), _u19549)) )).
% 20.36/20.58 cnf(fact_refl__on__INTER-2, axiom, ( c_Relation_Orefl__on(_u19550, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19548, tc_fun(_u19550, tc_HOL_Obool)), _u19549), _u19551), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19548, tc_fun(tc_prod(_u19550, _u19550), tc_HOL_Obool)), _u19549), _u19552)) | ~c_Relation_Orefl__on(_u19550, hAPP(_u19551, skolem509(_u19552, _u19551, _u19550, _u19549, _u19548)), hAPP(_u19552, skolem509(_u19552, _u19551, _u19550, _u19549, _u19548))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_List_Omember__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_List_Omember__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u19556), _u19558), _u19560)) | hBOOL(hAPP(hAPP(c_member(_u19556), _u19560), hAPP(c_List_Oset(_u19556), _u19558))) )).
% 20.36/20.58 cnf(fact_List_Omember__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19557), _u19561), hAPP(c_List_Oset(_u19557), _u19559))) | hBOOL(hAPP(hAPP(c_List_Omember(_u19557), _u19559), _u19561)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_member__rec_I2_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_member__rec_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u19562), c_List_Olist_ONil(_u19562)), _u19563)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_member__set ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_member__set-1, axiom, ( ( c_List_Omember(_u19564) = c_List_Oset(_u19564)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_member__rec_I1_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_member__rec_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u19569), hAPP(hAPP(c_List_Olist_OCons(_u19569), _u19571), _u19573)), _u19575)) | ( _u19571 = _u19575) | hBOOL(hAPP(hAPP(c_List_Omember(_u19569), _u19573), _u19575)) )).
% 20.36/20.58 cnf(fact_member__rec_I1_J-2, axiom, ( hBOOL(hAPP(hAPP(c_List_Omember(_u19570), hAPP(hAPP(c_List_Olist_OCons(_u19570), _u19572), _u19574)), _u19576)) | ( _u19572 != _u19576) )).
% 20.36/20.58 cnf(fact_member__rec_I1_J-3, axiom, ( hBOOL(hAPP(hAPP(c_List_Omember(_u19570), hAPP(hAPP(c_List_Olist_OCons(_u19570), _u19572), _u19574)), _u19576)) | ~hBOOL(hAPP(hAPP(c_List_Omember(_u19570), _u19574), _u19576)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_in__set__member ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_in__set__member-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19580), _u19582), hAPP(c_List_Oset(_u19580), _u19584))) | hBOOL(hAPP(hAPP(c_List_Omember(_u19580), _u19584), _u19582)) )).
% 20.36/20.58 cnf(fact_in__set__member-2, axiom, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u19581), _u19585), _u19583)) | hBOOL(hAPP(hAPP(c_member(_u19581), _u19583), hAPP(c_List_Oset(_u19581), _u19585))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_list__ex1__iff__raw ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_list__ex1__iff__raw-1, axiom, ( ~c_List_Olist__ex1(_u19593, _u19595, _u19597) | hBOOL(hAPP(hAPP(c_member(_u19593), skolem510(_u19597, _u19595, _u19593)), hAPP(c_List_Oset(_u19593), _u19597))) )).
% 20.36/20.58 cnf(fact_list__ex1__iff__raw-2, axiom, ( ~c_List_Olist__ex1(_u19593, _u19595, _u19597) | hBOOL(hAPP(_u19595, skolem510(_u19597, _u19595, _u19593))) )).
% 20.36/20.58 cnf(fact_list__ex1__iff__raw-3, axiom, ( ~c_List_Olist__ex1(_u19593, _u19595, _u19597) | ~hBOOL(hAPP(hAPP(c_member(_u19593), _u19586), hAPP(c_List_Oset(_u19593), _u19597))) | ~hBOOL(hAPP(_u19595, _u19586)) | ( _u19586 = skolem510(_u19597, _u19595, _u19593)) )).
% 20.36/20.58 cnf(fact_list__ex1__iff__raw-4, axiom, ( c_List_Olist__ex1(_u19594, _u19596, _u19598) | ~hBOOL(hAPP(hAPP(c_member(_u19594), _u19589), hAPP(c_List_Oset(_u19594), _u19598))) | ~hBOOL(hAPP(_u19596, _u19589)) | hBOOL(hAPP(hAPP(c_member(_u19594), skolem511(_u19598, _u19596, _u19594, _u19589)), hAPP(c_List_Oset(_u19594), _u19598))) )).
% 20.36/20.58 cnf(fact_list__ex1__iff__raw-5, axiom, ( c_List_Olist__ex1(_u19594, _u19596, _u19598) | ~hBOOL(hAPP(hAPP(c_member(_u19594), _u19589), hAPP(c_List_Oset(_u19594), _u19598))) | ~hBOOL(hAPP(_u19596, _u19589)) | hBOOL(hAPP(_u19596, skolem511(_u19598, _u19596, _u19594, _u19589))) )).
% 20.36/20.58 cnf(fact_list__ex1__iff__raw-6, axiom, ( c_List_Olist__ex1(_u19594, _u19596, _u19598) | ~hBOOL(hAPP(hAPP(c_member(_u19594), _u19589), hAPP(c_List_Oset(_u19594), _u19598))) | ~hBOOL(hAPP(_u19596, _u19589)) | ( skolem511(_u19598, _u19596, _u19594, _u19589) != _u19589) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_setsum__UNION__zero ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_setsum__UNION__zero-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19603) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19604, tc_HOL_Obool)), _u19605)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19604, tc_HOL_Obool)), skolem512(_u19606, _u19605, _u19604, _u19603)), _u19605)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19604, tc_HOL_Obool), _u19605)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19604, tc_HOL_Obool), _u19603), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606)), _u19605)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19604, tc_HOL_Obool)), skolem513(_u19606, _u19605, _u19604, _u19603)), _u19605)) )).
% 20.36/20.58 cnf(fact_setsum__UNION__zero-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19603) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19604, tc_HOL_Obool)), _u19605)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19604, tc_HOL_Obool)), skolem512(_u19606, _u19605, _u19604, _u19603)), _u19605)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19604, tc_HOL_Obool), _u19605)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19604, tc_HOL_Obool), _u19603), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606)), _u19605)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19604, tc_HOL_Obool)), skolem514(_u19606, _u19605, _u19604, _u19603)), _u19605)) )).
% 20.36/20.58 cnf(fact_setsum__UNION__zero-3, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19603) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19604, tc_HOL_Obool)), _u19605)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19604, tc_HOL_Obool)), skolem512(_u19606, _u19605, _u19604, _u19603)), _u19605)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19604, tc_HOL_Obool), _u19605)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19604, tc_HOL_Obool), _u19603), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606)), _u19605)) | ( skolem513(_u19606, _u19605, _u19604, _u19603) != skolem514(_u19606, _u19605, _u19604, _u19603)) )).
% 20.36/20.58 cnf(fact_setsum__UNION__zero-4, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19603) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19604, tc_HOL_Obool)), _u19605)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19604, tc_HOL_Obool)), skolem512(_u19606, _u19605, _u19604, _u19603)), _u19605)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19604, tc_HOL_Obool), _u19605)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19604, tc_HOL_Obool), _u19603), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606)), _u19605)) | hBOOL(hAPP(hAPP(c_member(_u19604), skolem515(_u19606, _u19605, _u19604, _u19603)), skolem513(_u19606, _u19605, _u19604, _u19603))) )).
% 20.36/20.58 cnf(fact_setsum__UNION__zero-5, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19603) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19604, tc_HOL_Obool)), _u19605)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19604, tc_HOL_Obool)), skolem512(_u19606, _u19605, _u19604, _u19603)), _u19605)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19604, tc_HOL_Obool), _u19605)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19604, tc_HOL_Obool), _u19603), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606)), _u19605)) | hBOOL(hAPP(hAPP(c_member(_u19604), skolem515(_u19606, _u19605, _u19604, _u19603)), skolem514(_u19606, _u19605, _u19604, _u19603))) )).
% 20.36/20.58 cnf(fact_setsum__UNION__zero-6, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19603) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19604, tc_HOL_Obool)), _u19605)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19604, tc_HOL_Obool)), skolem512(_u19606, _u19605, _u19604, _u19603)), _u19605)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19604, tc_HOL_Obool), _u19605)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19604, tc_HOL_Obool), _u19603), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606)), _u19605)) | ( hAPP(_u19606, skolem515(_u19606, _u19605, _u19604, _u19603)) != c_Groups_Ozero__class_Ozero(_u19603)) )).
% 20.36/20.58 cnf(fact_setsum__UNION__zero-7, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19603) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19604, tc_HOL_Obool)), _u19605)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19604), skolem512(_u19606, _u19605, _u19604, _u19603))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19604, tc_HOL_Obool), _u19605)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19604, tc_HOL_Obool), _u19603), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606)), _u19605)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19604, tc_HOL_Obool)), skolem513(_u19606, _u19605, _u19604, _u19603)), _u19605)) )).
% 20.36/20.58 cnf(fact_setsum__UNION__zero-8, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19603) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19604, tc_HOL_Obool)), _u19605)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19604), skolem512(_u19606, _u19605, _u19604, _u19603))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19604, tc_HOL_Obool), _u19605)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19604, tc_HOL_Obool), _u19603), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606)), _u19605)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19604, tc_HOL_Obool)), skolem514(_u19606, _u19605, _u19604, _u19603)), _u19605)) )).
% 20.36/20.58 cnf(fact_setsum__UNION__zero-9, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19603) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19604, tc_HOL_Obool)), _u19605)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19604), skolem512(_u19606, _u19605, _u19604, _u19603))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19604, tc_HOL_Obool), _u19605)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19604, tc_HOL_Obool), _u19603), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606)), _u19605)) | ( skolem513(_u19606, _u19605, _u19604, _u19603) != skolem514(_u19606, _u19605, _u19604, _u19603)) )).
% 20.36/20.58 cnf(fact_setsum__UNION__zero-10, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19603) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19604, tc_HOL_Obool)), _u19605)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19604), skolem512(_u19606, _u19605, _u19604, _u19603))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19604, tc_HOL_Obool), _u19605)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19604, tc_HOL_Obool), _u19603), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606)), _u19605)) | hBOOL(hAPP(hAPP(c_member(_u19604), skolem515(_u19606, _u19605, _u19604, _u19603)), skolem513(_u19606, _u19605, _u19604, _u19603))) )).
% 20.36/20.58 cnf(fact_setsum__UNION__zero-11, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19603) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19604, tc_HOL_Obool)), _u19605)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19604), skolem512(_u19606, _u19605, _u19604, _u19603))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19604, tc_HOL_Obool), _u19605)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19604, tc_HOL_Obool), _u19603), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606)), _u19605)) | hBOOL(hAPP(hAPP(c_member(_u19604), skolem515(_u19606, _u19605, _u19604, _u19603)), skolem514(_u19606, _u19605, _u19604, _u19603))) )).
% 20.36/20.58 cnf(fact_setsum__UNION__zero-12, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19603) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19604, tc_HOL_Obool)), _u19605)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19604), skolem512(_u19606, _u19605, _u19604, _u19603))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19604, tc_HOL_Obool), _u19605)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19604, tc_HOL_Obool), _u19603), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606)), _u19605)) | ( hAPP(_u19606, skolem515(_u19606, _u19605, _u19604, _u19603)) != c_Groups_Ozero__class_Ozero(_u19603)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_THE__default__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_THE__default__def-1, axiom, ( ( c_FunDef_OTHE__default(_u19616, _u19618, _u19614) = c_HOL_OThe(_u19616, _u19614)) | ~hBOOL(hAPP(_u19614, _u19608)) | hBOOL(hAPP(_u19614, skolem516(_u19618, _u19616, _u19614, _u19608))) )).
% 20.36/20.58 cnf(fact_THE__default__def-2, axiom, ( ( c_FunDef_OTHE__default(_u19616, _u19618, _u19614) = c_HOL_OThe(_u19616, _u19614)) | ~hBOOL(hAPP(_u19614, _u19608)) | ( skolem516(_u19618, _u19616, _u19614, _u19608) != _u19608) )).
% 20.36/20.58 cnf(fact_THE__default__def-3, axiom, ( ( c_FunDef_OTHE__default(_u19617, _u19619, _u19615) = _u19619) | hBOOL(hAPP(_u19615, skolem517(_u19619, _u19617, _u19615))) )).
% 20.36/20.58 cnf(fact_THE__default__def-4, axiom, ( ( c_FunDef_OTHE__default(_u19617, _u19619, _u19615) = _u19619) | ~hBOOL(hAPP(_u19615, _u19609)) | ( _u19609 = skolem517(_u19619, _u19617, _u19615)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_SUP2__E ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_SUP2__E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19621, tc_fun(_u19622, tc_fun(_u19623, tc_HOL_Obool))), _u19624), _u19625), _u19626), _u19627)) | hBOOL(hAPP(hAPP(c_member(_u19621), skolem518(_u19627, _u19626, _u19625, _u19624, _u19623, _u19622, _u19621)), _u19624)) )).
% 20.36/20.58 cnf(fact_SUP2__E-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19621, tc_fun(_u19622, tc_fun(_u19623, tc_HOL_Obool))), _u19624), _u19625), _u19626), _u19627)) | hBOOL(hAPP(hAPP(hAPP(_u19625, skolem518(_u19627, _u19626, _u19625, _u19624, _u19623, _u19622, _u19621)), _u19626), _u19627)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_INF2__I ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_INF2__I-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19629, tc_fun(_u19634, tc_fun(_u19635, tc_HOL_Obool))), _u19630), _u19631), _u19632), _u19633)) | hBOOL(hAPP(hAPP(c_member(_u19629), skolem519(_u19635, _u19634, _u19633, _u19632, _u19631, _u19630, _u19629)), _u19630)) )).
% 20.36/20.58 cnf(fact_INF2__I-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19629, tc_fun(_u19634, tc_fun(_u19635, tc_HOL_Obool))), _u19630), _u19631), _u19632), _u19633)) | ~hBOOL(hAPP(hAPP(hAPP(_u19631, skolem519(_u19635, _u19634, _u19633, _u19632, _u19631, _u19630, _u19629)), _u19632), _u19633)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_finite__maxlen ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_finite__maxlen-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u19638)), _u19639)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19638)), _u19636), _u19639)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19638)), _u19636)), skolem520(_u19639, _u19638))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_lazy__sequence_Osize_I3_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_lazy__sequence_Osize_I3_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19640)), c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19640)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_lazy__sequence_Osize_I1_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_lazy__sequence_Osize_I1_J-1, axiom, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19641, _u19642), c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19641)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact__02 ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact__02-1, axiom, ( ( c_Lazy__Sequence_Oappend(_u19643, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19643), _u19644) = _u19644) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_lazy__sequence_Osimps_I2_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_lazy__sequence_Osimps_I2_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19645) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u19645, _u19646, _u19647)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_lazy__sequence_Osimps_I3_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_lazy__sequence_Osimps_I3_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u19648, _u19649, _u19650) != c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19648)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_lazy__sequence_Osimps_I4_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_lazy__sequence_Osimps_I4_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u19651, _u19652, _u19653, _u19654, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19652)) = _u19653) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_list__all__iff__all__interval__int ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_list__all__iff__all__interval__int-1, axiom, ( ~c_List_Olist__all(tc_Int_Oint, _u19658, c_List_Oupto(_u19660, _u19662)) | c_List_Oall__interval__int(_u19658, _u19660, _u19662) )).
% 20.36/20.58 cnf(fact_list__all__iff__all__interval__int-2, axiom, ( ~c_List_Oall__interval__int(_u19659, _u19661, _u19663) | c_List_Olist__all(tc_Int_Oint, _u19659, c_List_Oupto(_u19661, _u19663)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_list__ex__iff__not__all__inverval__int ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_list__ex__iff__not__all__inverval__int-1, axiom, ( ~c_List_Olist__ex(tc_Int_Oint, _u19667, c_List_Oupto(_u19669, _u19671)) | ~c_List_Oall__interval__int(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint, c_fNot), _u19667), _u19669, _u19671) )).
% 20.36/20.58 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), _u19668), _u19670, _u19672) | c_List_Olist__ex(tc_Int_Oint, _u19668, c_List_Oupto(_u19670, _u19672)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_all__interval__int__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_all__interval__int__def-1, axiom, ( ~c_List_Oall__interval__int(_u19678, _u19680, _u19682) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u19673), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u19680, _u19682))) | hBOOL(hAPP(_u19678, _u19673)) )).
% 20.36/20.58 cnf(fact_all__interval__int__def-2, axiom, ( c_List_Oall__interval__int(_u19679, _u19681, _u19683) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem521(_u19683, _u19681, _u19679)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u19681, _u19683))) )).
% 20.36/20.58 cnf(fact_all__interval__int__def-3, axiom, ( c_List_Oall__interval__int(_u19679, _u19681, _u19683) | ~hBOOL(hAPP(_u19679, skolem521(_u19683, _u19681, _u19679))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_code__numeral_Orecs_I2_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_code__numeral_Orecs_I2_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u19684, _u19685, _u19686, c_Code__Numeral_OSuc__code__numeral(_u19687)) = hAPP(hAPP(_u19686, _u19687), c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u19684, _u19685, _u19686, _u19687))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_Random_Osimps ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_Random_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u19692), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) | ( c_Random__Sequence_ORandom(_u19694, _u19696, _u19692, _u19698) = 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(_u19694)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), c_DSequence_Oempty(_u19694))) )).
% 20.36/20.58 cnf(fact_Random_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u19693), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) | ( c_Random__Sequence_ORandom(_u19695, _u19697, _u19693, _u19699) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u19695, 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(_u19695)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(_u19697, _u19699)), 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(_u19695)))), 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(_u19695)))), 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(_u19695)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_prod(_u19695, 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(_u19695)))), 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(_u19695)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random__Sequence_ORandom(_u19695, _u19697, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u19693), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u19699))), 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(_u19695)))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19695))))), tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19695)))), 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(_u19695)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)))), tc_prod(_u19695, 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(_u19695)))), 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(_u19695)))), 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(_u19695))))), c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19695)))), 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(_u19695)))), tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19695)))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19695))))), tc_prod(_u19695, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), c_DSequence_Ounion(_u19695)), hAPP(hAPP(c_COMBB(_u19695, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19695)))), tc_prod(_u19695, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), c_DSequence_Osingle(_u19695)), c_Product__Type_Ofst(_u19695, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm)))))))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_code__numeral_Orecs_I1_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_code__numeral_Orecs_I1_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u19700, _u19701, _u19702, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u19701) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_Random__Sequence_Oempty__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_Random__Sequence_Oempty__def-1, axiom, ( ( c_Random__Sequence_Oempty(_u19703, _u19704, _u19705) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19703)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), c_DSequence_Oempty(_u19703))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_Random__Sequence_Osingle__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_Random__Sequence_Osingle__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_Random__Sequence_Osingle(_u19706), _u19707), _u19708), _u19709) = 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(_u19706)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_DSequence_Osingle(_u19706), _u19707))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_Random__Sequence_Omap__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_Random__Sequence_Omap__def-1, axiom, ( ( c_Random__Sequence_Omap(_u19710, _u19711, _u19712, _u19713) = c_Random__Sequence_Obind(_u19710, _u19711, _u19713, hAPP(c_Fun_Ocomp(_u19711, 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(_u19711)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))))), _u19710, c_Random__Sequence_Osingle(_u19711)), _u19712))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_exE__realizer ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_exE__realizer-1, axiom, ( ~hBOOL(hAPP(hAPP(_u19716, hAPP(c_Product__Type_Osnd(_u19717, _u19718), _u19719)), hAPP(c_Product__Type_Ofst(_u19717, _u19718), _u19719))) | hBOOL(hAPP(_u19720, hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u19717, _u19718, _u19722), _u19721), _u19719))) | hBOOL(hAPP(hAPP(_u19716, skolem523(_u19722, _u19721, _u19720, _u19719, _u19718, _u19717, _u19716)), skolem522(_u19722, _u19721, _u19720, _u19719, _u19718, _u19717, _u19716))) )).
% 20.36/20.58 cnf(fact_exE__realizer-2, axiom, ( ~hBOOL(hAPP(hAPP(_u19716, hAPP(c_Product__Type_Osnd(_u19717, _u19718), _u19719)), hAPP(c_Product__Type_Ofst(_u19717, _u19718), _u19719))) | hBOOL(hAPP(_u19720, hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u19717, _u19718, _u19722), _u19721), _u19719))) | ~hBOOL(hAPP(_u19720, hAPP(hAPP(_u19721, skolem522(_u19722, _u19721, _u19720, _u19719, _u19718, _u19717, _u19716)), skolem523(_u19722, _u19721, _u19720, _u19719, _u19718, _u19717, _u19716)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_Image__Collect__split ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_Image__Collect__split-1, axiom, ( ( hAPP(c_Relation_OImage(_u19723, _u19724, hAPP(c_Set_OCollect(tc_prod(_u19723, _u19724)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19723, _u19724, tc_HOL_Obool), _u19725))), _u19726) = hAPP(c_Set_OCollect(_u19724), hAPP(hAPP(c_COMBB(tc_fun(_u19723, tc_HOL_Obool), tc_HOL_Obool, _u19724), c_HOL_OEx(_u19723)), hAPP(hAPP(c_COMBB(tc_fun(_u19723, tc_HOL_Obool), tc_fun(_u19723, tc_HOL_Obool), _u19724), hAPP(c_COMBS(_u19723, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19723), c_fconj), hAPP(hAPP(c_COMBC(_u19723, tc_fun(_u19723, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19723)), _u19726)))), hAPP(c_COMBC(_u19723, _u19724, tc_HOL_Obool), _u19725))))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_lexord__trans ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_lexord__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19727), tc_List_Olist(_u19727))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19727), tc_List_Olist(_u19727)), _u19728), _u19729)), c_List_Olexord(_u19727, _u19730))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19727), tc_List_Olist(_u19727))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19727), tc_List_Olist(_u19727)), _u19729), _u19731)), c_List_Olexord(_u19727, _u19730))) | ~c_Relation_Otrans(_u19727, _u19730) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19727), tc_List_Olist(_u19727))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19727), tc_List_Olist(_u19727)), _u19728), _u19731)), c_List_Olexord(_u19727, _u19730))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_trans__less__than ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_trans__less__than-1, axiom, ( c_Relation_Otrans(tc_Nat_Onat, c_Wellfounded_Oless__than) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_trans__lex__prod ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_trans__lex__prod-1, axiom, ( ~c_Relation_Otrans(_u19732, _u19733) | ~c_Relation_Otrans(_u19734, _u19735) | c_Relation_Otrans(tc_prod(_u19732, _u19734), c_Wellfounded_Olex__prod(_u19732, _u19734, _u19733, _u19735)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_transD ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_transD-1, axiom, ( ~c_Relation_Otrans(_u19736, _u19737) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19736, _u19736)), hAPP(hAPP(c_Product__Type_OPair(_u19736, _u19736), _u19738), _u19739)), _u19737)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19736, _u19736)), hAPP(hAPP(c_Product__Type_OPair(_u19736, _u19736), _u19739), _u19740)), _u19737)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19736, _u19736)), hAPP(hAPP(c_Product__Type_OPair(_u19736, _u19736), _u19738), _u19740)), _u19737)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_trans__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_trans__def-1, axiom, ( ~c_Relation_Otrans(_u19749, _u19751) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19749, _u19749)), hAPP(hAPP(c_Product__Type_OPair(_u19749, _u19749), _u19743), _u19742)), _u19751)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19749, _u19749)), hAPP(hAPP(c_Product__Type_OPair(_u19749, _u19749), _u19742), _u19741)), _u19751)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19749, _u19749)), hAPP(hAPP(c_Product__Type_OPair(_u19749, _u19749), _u19743), _u19741)), _u19751)) )).
% 20.36/20.58 cnf(fact_trans__def-2, axiom, ( c_Relation_Otrans(_u19750, _u19752) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19750, _u19750)), hAPP(hAPP(c_Product__Type_OPair(_u19750, _u19750), skolem524(_u19752, _u19750)), skolem525(_u19752, _u19750))), _u19752)) )).
% 20.36/20.58 cnf(fact_trans__def-3, axiom, ( c_Relation_Otrans(_u19750, _u19752) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19750, _u19750)), hAPP(hAPP(c_Product__Type_OPair(_u19750, _u19750), skolem525(_u19752, _u19750)), skolem526(_u19752, _u19750))), _u19752)) )).
% 20.36/20.58 cnf(fact_trans__def-4, axiom, ( c_Relation_Otrans(_u19750, _u19752) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19750, _u19750)), hAPP(hAPP(c_Product__Type_OPair(_u19750, _u19750), skolem524(_u19752, _u19750)), skolem526(_u19752, _u19750))), _u19752)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_trans__rtrancl ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_trans__rtrancl-1, axiom, ( c_Relation_Otrans(_u19753, c_Transitive__Closure_Ortrancl(_u19753, _u19754)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_trans__finite__psubset ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_trans__finite__psubset-1, axiom, ( c_Relation_Otrans(tc_fun(_u19755, tc_HOL_Obool), c_Wellfounded_Ofinite__psubset(_u19755)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_trans__Id__on ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_trans__Id__on-1, axiom, ( c_Relation_Otrans(_u19756, c_Relation_OId__on(_u19756, _u19757)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_trancl__id ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_trancl__id-1, axiom, ( ~c_Relation_Otrans(_u19758, _u19759) | ( c_Transitive__Closure_Otrancl(_u19758, _u19759) = _u19759) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_trans__trancl ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_trans__trancl-1, axiom, ( c_Relation_Otrans(_u19760, c_Transitive__Closure_Otrancl(_u19760, _u19761)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_trans__Id ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_trans__Id-1, axiom, ( c_Relation_Otrans(_u19762, c_Relation_OId(_u19762)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_lexord__transI ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_lexord__transI-1, axiom, ( ~c_Relation_Otrans(_u19763, _u19764) | c_Relation_Otrans(tc_List_Olist(_u19763), c_List_Olexord(_u19763, _u19764)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_trans__converse ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_trans__converse-1, axiom, ( ~c_Relation_Otrans(_u19767, hAPP(c_Relation_Oconverse(_u19767, _u19767), _u19769)) | c_Relation_Otrans(_u19767, _u19769) )).
% 20.36/20.58 cnf(fact_trans__converse-2, axiom, ( ~c_Relation_Otrans(_u19768, _u19770) | c_Relation_Otrans(_u19768, hAPP(c_Relation_Oconverse(_u19768, _u19768), _u19770)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_bex__empty ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_bex__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19772), _u19771), c_Orderings_Obot__class_Obot(tc_fun(_u19772, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u19773, _u19771)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_listrel__trans ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_listrel__trans-1, axiom, ( ~c_Relation_Otrans(_u19774, _u19775) | c_Relation_Otrans(tc_List_Olist(_u19774), c_List_Olistrel(_u19774, _u19775)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_finite__Collect__bex ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_finite__Collect__bex-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19778), _u19779)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19780), hAPP(c_Set_OCollect(_u19780), hAPP(hAPP(c_COMBB(tc_fun(_u19778, tc_HOL_Obool), tc_HOL_Obool, _u19780), c_HOL_OEx(_u19778)), hAPP(hAPP(c_COMBB(tc_fun(_u19778, tc_HOL_Obool), tc_fun(_u19778, tc_HOL_Obool), _u19780), hAPP(c_COMBS(_u19778, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19778), c_fconj), hAPP(hAPP(c_COMBC(_u19778, tc_fun(_u19778, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19778)), _u19779)))), _u19781))))) | ~hBOOL(hAPP(hAPP(c_member(_u19778), _u19776), _u19779)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19780), hAPP(c_Set_OCollect(_u19780), hAPP(hAPP(c_COMBC(_u19780, _u19778, tc_HOL_Obool), _u19781), _u19776)))) )).
% 20.36/20.58 cnf(fact_finite__Collect__bex-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19778), _u19779)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19780), hAPP(c_Set_OCollect(_u19780), hAPP(hAPP(c_COMBB(tc_fun(_u19778, tc_HOL_Obool), tc_HOL_Obool, _u19780), c_HOL_OEx(_u19778)), hAPP(hAPP(c_COMBB(tc_fun(_u19778, tc_HOL_Obool), tc_fun(_u19778, tc_HOL_Obool), _u19780), hAPP(c_COMBS(_u19778, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19778), c_fconj), hAPP(hAPP(c_COMBC(_u19778, tc_fun(_u19778, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19778)), _u19779)))), _u19781))))) | hBOOL(hAPP(hAPP(c_member(_u19778), skolem527(_u19781, _u19780, _u19779, _u19778)), _u19779)) )).
% 20.36/20.58 cnf(fact_finite__Collect__bex-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19778), _u19779)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19780), hAPP(c_Set_OCollect(_u19780), hAPP(hAPP(c_COMBB(tc_fun(_u19778, tc_HOL_Obool), tc_HOL_Obool, _u19780), c_HOL_OEx(_u19778)), hAPP(hAPP(c_COMBB(tc_fun(_u19778, tc_HOL_Obool), tc_fun(_u19778, tc_HOL_Obool), _u19780), hAPP(c_COMBS(_u19778, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19778), c_fconj), hAPP(hAPP(c_COMBC(_u19778, tc_fun(_u19778, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19778)), _u19779)))), _u19781))))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19780), hAPP(c_Set_OCollect(_u19780), hAPP(hAPP(c_COMBC(_u19780, _u19778, tc_HOL_Obool), _u19781), skolem527(_u19781, _u19780, _u19779, _u19778))))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_bex__UNIV ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_bex__UNIV-1, axiom, ( hBOOL(hAPP(_u19790, skolem528(_u19790))) | ~hBOOL(hAPP(hAPP(c_member(_u19788), _u19782), c_Orderings_Otop__class_Otop(tc_fun(_u19788, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u19790, _u19782)) )).
% 20.36/20.58 cnf(fact_bex__UNIV-2, axiom, ( ~hBOOL(hAPP(_u19791, _u19784)) | hBOOL(hAPP(hAPP(c_member(_u19789), skolem529(_u19791, _u19789)), c_Orderings_Otop__class_Otop(tc_fun(_u19789, tc_HOL_Obool)))) )).
% 20.36/20.58 cnf(fact_bex__UNIV-3, axiom, ( ~hBOOL(hAPP(_u19791, _u19784)) | hBOOL(hAPP(_u19791, skolem529(_u19791, _u19789))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_trans__Int ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_trans__Int-1, axiom, ( ~c_Relation_Otrans(_u19792, _u19793) | ~c_Relation_Otrans(_u19792, _u19794) | c_Relation_Otrans(_u19792, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u19792, _u19792), tc_HOL_Obool)), _u19793), _u19794)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_SUPR__bool__eq ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_SUPR__bool__eq-1, axiom, ( ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19795, tc_HOL_Obool) = c_Set_OBex(_u19795)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_trans__O__subset ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_trans__O__subset-1, axiom, ( ~c_Relation_Otrans(_u19796, _u19797) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19796, _u19796), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u19796, _u19796, _u19796), _u19797), _u19797)), _u19797)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_trans__reflclI ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_trans__reflclI-1, axiom, ( ~c_Relation_Otrans(_u19798, _u19799) | c_Relation_Otrans(_u19798, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19798, _u19798), tc_HOL_Obool)), _u19799), c_Relation_OId(_u19798))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_trans__inv__image ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_trans__inv__image-1, axiom, ( ~c_Relation_Otrans(_u19800, _u19801) | c_Relation_Otrans(_u19802, hAPP(hAPP(c_Relation_Oinv__image(_u19800, _u19802), _u19801), _u19803)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_Union__eq ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_Union__eq-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19804, tc_HOL_Obool), _u19805) = hAPP(c_Set_OCollect(_u19804), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19804, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, _u19804), c_HOL_OEx(tc_fun(_u19804, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19804, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u19804, tc_HOL_Obool), tc_HOL_Obool), _u19804), hAPP(c_COMBS(tc_fun(_u19804, 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(_u19804, tc_HOL_Obool)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19804, tc_HOL_Obool), tc_fun(tc_fun(_u19804, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19804, tc_HOL_Obool))), _u19805)))), c_member(_u19804))))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_list__ex__iff__raw ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_list__ex__iff__raw-1, axiom, ( ~c_List_Olist__ex(_u19811, _u19813, _u19815) | hBOOL(hAPP(hAPP(c_member(_u19811), skolem530(_u19815, _u19813, _u19811)), hAPP(c_List_Oset(_u19811), _u19815))) )).
% 20.36/20.58 cnf(fact_list__ex__iff__raw-2, axiom, ( ~c_List_Olist__ex(_u19811, _u19813, _u19815) | hBOOL(hAPP(_u19813, skolem530(_u19815, _u19813, _u19811))) )).
% 20.36/20.58 cnf(fact_list__ex__iff__raw-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19812), _u19807), hAPP(c_List_Oset(_u19812), _u19816))) | ~hBOOL(hAPP(_u19814, _u19807)) | c_List_Olist__ex(_u19812, _u19814, _u19816) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_Bex__set__list__ex ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_Bex__set__list__ex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19822), _u19817), hAPP(c_List_Oset(_u19822), _u19824))) | ~hBOOL(hAPP(_u19826, _u19817)) | c_List_Olist__ex(_u19822, _u19826, _u19824) )).
% 20.36/20.58 cnf(fact_Bex__set__list__ex-2, axiom, ( ~c_List_Olist__ex(_u19823, _u19827, _u19825) | hBOOL(hAPP(hAPP(c_member(_u19823), skolem531(_u19827, _u19825, _u19823)), hAPP(c_List_Oset(_u19823), _u19825))) )).
% 20.36/20.58 cnf(fact_Bex__set__list__ex-3, axiom, ( ~c_List_Olist__ex(_u19823, _u19827, _u19825) | hBOOL(hAPP(_u19827, skolem531(_u19827, _u19825, _u19823))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_UN__eq ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_UN__eq-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19828, tc_fun(_u19829, tc_HOL_Obool)), _u19830), _u19831) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19829, tc_HOL_Obool), hAPP(c_Set_OCollect(tc_fun(_u19829, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19828, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u19829, tc_HOL_Obool)), c_HOL_OEx(_u19828)), hAPP(hAPP(c_COMBB(tc_fun(_u19828, tc_HOL_Obool), tc_fun(_u19828, tc_HOL_Obool), tc_fun(_u19829, tc_HOL_Obool)), hAPP(c_COMBS(_u19828, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19828), c_fconj), hAPP(hAPP(c_COMBC(_u19828, tc_fun(_u19828, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19828)), _u19830)))), hAPP(hAPP(c_COMBC(tc_fun(_u19829, tc_HOL_Obool), tc_fun(_u19828, tc_fun(_u19829, tc_HOL_Obool)), tc_fun(_u19828, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19829, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u19828, tc_fun(_u19829, tc_HOL_Obool)), tc_fun(_u19828, tc_HOL_Obool)), tc_fun(_u19829, tc_HOL_Obool)), c_COMBB(tc_fun(_u19829, tc_HOL_Obool), tc_HOL_Obool, _u19828)), c_fequal)), _u19831)))))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_INT__eq ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_INT__eq-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19832, tc_fun(_u19833, tc_HOL_Obool)), _u19834), _u19835) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u19833, tc_HOL_Obool), hAPP(c_Set_OCollect(tc_fun(_u19833, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19832, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u19833, tc_HOL_Obool)), c_HOL_OEx(_u19832)), hAPP(hAPP(c_COMBB(tc_fun(_u19832, tc_HOL_Obool), tc_fun(_u19832, tc_HOL_Obool), tc_fun(_u19833, tc_HOL_Obool)), hAPP(c_COMBS(_u19832, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19832), c_fconj), hAPP(hAPP(c_COMBC(_u19832, tc_fun(_u19832, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19832)), _u19834)))), hAPP(hAPP(c_COMBC(tc_fun(_u19833, tc_HOL_Obool), tc_fun(_u19832, tc_fun(_u19833, tc_HOL_Obool)), tc_fun(_u19832, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19833, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u19832, tc_fun(_u19833, tc_HOL_Obool)), tc_fun(_u19832, tc_HOL_Obool)), tc_fun(_u19833, tc_HOL_Obool)), c_COMBB(tc_fun(_u19833, tc_HOL_Obool), tc_HOL_Obool, _u19832)), c_fequal)), _u19835)))))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_Sup__fun__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_Sup__fun__def-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19836) | ( hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19837, _u19836), _u19838), _u19839) = c_Complete__Lattice_OSup__class_OSup(_u19836, hAPP(c_Set_OCollect(_u19836), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19837, _u19836), tc_HOL_Obool), tc_HOL_Obool, _u19836), c_HOL_OEx(tc_fun(_u19837, _u19836))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19837, _u19836), tc_HOL_Obool), tc_fun(tc_fun(_u19837, _u19836), tc_HOL_Obool), _u19836), hAPP(c_COMBS(tc_fun(_u19837, _u19836), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u19837, _u19836)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19837, _u19836), tc_fun(tc_fun(_u19837, _u19836), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19837, _u19836))), _u19838)))), hAPP(hAPP(c_COMBC(_u19836, tc_fun(tc_fun(_u19837, _u19836), _u19836), tc_fun(tc_fun(_u19837, _u19836), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19836, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u19837, _u19836), _u19836), tc_fun(tc_fun(_u19837, _u19836), tc_HOL_Obool)), _u19836), c_COMBB(_u19836, tc_HOL_Obool, tc_fun(_u19837, _u19836))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u19837, _u19836), _u19837, _u19836), c_COMBI(tc_fun(_u19837, _u19836))), _u19839))))))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_Sup__apply ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_Sup__apply-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19840) | ( hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19841, _u19840), _u19842), _u19843) = c_Complete__Lattice_OSup__class_OSup(_u19840, hAPP(c_Set_OCollect(_u19840), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19841, _u19840), tc_HOL_Obool), tc_HOL_Obool, _u19840), c_HOL_OEx(tc_fun(_u19841, _u19840))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19841, _u19840), tc_HOL_Obool), tc_fun(tc_fun(_u19841, _u19840), tc_HOL_Obool), _u19840), hAPP(c_COMBS(tc_fun(_u19841, _u19840), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u19841, _u19840)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19841, _u19840), tc_fun(tc_fun(_u19841, _u19840), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19841, _u19840))), _u19842)))), hAPP(hAPP(c_COMBC(_u19840, tc_fun(tc_fun(_u19841, _u19840), _u19840), tc_fun(tc_fun(_u19841, _u19840), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19840, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u19841, _u19840), _u19840), tc_fun(tc_fun(_u19841, _u19840), tc_HOL_Obool)), _u19840), c_COMBB(_u19840, tc_HOL_Obool, tc_fun(_u19841, _u19840))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u19841, _u19840), _u19841, _u19840), c_COMBI(tc_fun(_u19841, _u19840))), _u19843))))))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_Inf__fun__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_Inf__fun__def-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19844) | ( hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(_u19845, _u19844), _u19846), _u19847) = c_Complete__Lattice_OInf__class_OInf(_u19844, hAPP(c_Set_OCollect(_u19844), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19845, _u19844), tc_HOL_Obool), tc_HOL_Obool, _u19844), c_HOL_OEx(tc_fun(_u19845, _u19844))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19845, _u19844), tc_HOL_Obool), tc_fun(tc_fun(_u19845, _u19844), tc_HOL_Obool), _u19844), hAPP(c_COMBS(tc_fun(_u19845, _u19844), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u19845, _u19844)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19845, _u19844), tc_fun(tc_fun(_u19845, _u19844), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19845, _u19844))), _u19846)))), hAPP(hAPP(c_COMBC(_u19844, tc_fun(tc_fun(_u19845, _u19844), _u19844), tc_fun(tc_fun(_u19845, _u19844), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19844, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u19845, _u19844), _u19844), tc_fun(tc_fun(_u19845, _u19844), tc_HOL_Obool)), _u19844), c_COMBB(_u19844, tc_HOL_Obool, tc_fun(_u19845, _u19844))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u19845, _u19844), _u19845, _u19844), c_COMBI(tc_fun(_u19845, _u19844))), _u19847))))))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_Inf__apply ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_Inf__apply-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19848) | ( hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(_u19849, _u19848), _u19850), _u19851) = c_Complete__Lattice_OInf__class_OInf(_u19848, hAPP(c_Set_OCollect(_u19848), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19849, _u19848), tc_HOL_Obool), tc_HOL_Obool, _u19848), c_HOL_OEx(tc_fun(_u19849, _u19848))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19849, _u19848), tc_HOL_Obool), tc_fun(tc_fun(_u19849, _u19848), tc_HOL_Obool), _u19848), hAPP(c_COMBS(tc_fun(_u19849, _u19848), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u19849, _u19848)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19849, _u19848), tc_fun(tc_fun(_u19849, _u19848), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19849, _u19848))), _u19850)))), hAPP(hAPP(c_COMBC(_u19848, tc_fun(tc_fun(_u19849, _u19848), _u19848), tc_fun(tc_fun(_u19849, _u19848), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19848, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u19849, _u19848), _u19848), tc_fun(tc_fun(_u19849, _u19848), tc_HOL_Obool)), _u19848), c_COMBB(_u19848, tc_HOL_Obool, tc_fun(_u19849, _u19848))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u19849, _u19848), _u19849, _u19848), c_COMBI(tc_fun(_u19849, _u19848))), _u19851))))))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_max__extp_Ointros ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_max__extp_Ointros-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19854), _u19855)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19854), _u19856)) | ( _u19856 = c_Orderings_Obot__class_Obot(tc_fun(_u19854, tc_HOL_Obool))) | c_Wellfounded_Omax__extp(_u19854, _u19857, _u19855, _u19856) | hBOOL(hAPP(hAPP(c_member(_u19854), skolem532(_u19857, _u19856, _u19855, _u19854)), _u19855)) )).
% 20.36/20.58 cnf(fact_max__extp_Ointros-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19854), _u19855)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19854), _u19856)) | ( _u19856 = c_Orderings_Obot__class_Obot(tc_fun(_u19854, tc_HOL_Obool))) | c_Wellfounded_Omax__extp(_u19854, _u19857, _u19855, _u19856) | ~hBOOL(hAPP(hAPP(c_member(_u19854), _u19852), _u19856)) | ~hBOOL(hAPP(hAPP(_u19857, skolem532(_u19857, _u19856, _u19855, _u19854)), _u19852)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_transp__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_transp__def-1, axiom, ( ~c_Predicate_Otransp(_u19860, _u19862) | c_Relation_Otrans(_u19860, hAPP(c_Set_OCollect(tc_prod(_u19860, _u19860)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19860, _u19860, tc_HOL_Obool), _u19862))) )).
% 20.36/20.58 cnf(fact_transp__def-2, axiom, ( ~c_Relation_Otrans(_u19861, hAPP(c_Set_OCollect(tc_prod(_u19861, _u19861)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19861, _u19861, tc_HOL_Obool), _u19863))) | c_Predicate_Otransp(_u19861, _u19863) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_transpE ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_transpE-1, axiom, ( ~hBOOL(hAPP(hAPP(_u19865, _u19866), _u19867)) | ~hBOOL(hAPP(hAPP(_u19865, _u19867), _u19868)) | hBOOL(hAPP(hAPP(_u19865, _u19866), _u19868)) | ~c_Predicate_Otransp(_u19864, _u19865) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_equivpE ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_equivpE-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u19869, _u19870) | c_Predicate_Oreflp(_u19869, _u19870) )).
% 20.36/20.58 cnf(fact_equivpE-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u19869, _u19870) | c_Predicate_Osymp(_u19869, _u19870) )).
% 20.36/20.58 cnf(fact_equivpE-3, axiom, ( ~c_Equiv__Relations_Oequivp(_u19869, _u19870) | c_Predicate_Otransp(_u19869, _u19870) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_equivpI ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_equivpI-1, axiom, ( ~c_Predicate_Oreflp(_u19871, _u19872) | ~c_Predicate_Osymp(_u19871, _u19872) | ~c_Predicate_Otransp(_u19871, _u19872) | c_Equiv__Relations_Oequivp(_u19871, _u19872) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sympE ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sympE-1, axiom, ( ~hBOOL(hAPP(hAPP(_u19874, _u19875), _u19876)) | hBOOL(hAPP(hAPP(_u19874, _u19876), _u19875)) | ~c_Predicate_Osymp(_u19873, _u19874) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_equivp__reflp__symp__transp ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_equivp__reflp__symp__transp-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u19879, _u19881) | c_Predicate_Oreflp(_u19879, _u19881) )).
% 20.36/20.58 cnf(fact_equivp__reflp__symp__transp-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u19879, _u19881) | c_Predicate_Osymp(_u19879, _u19881) )).
% 20.36/20.58 cnf(fact_equivp__reflp__symp__transp-3, axiom, ( ~c_Equiv__Relations_Oequivp(_u19879, _u19881) | c_Predicate_Otransp(_u19879, _u19881) )).
% 20.36/20.58 cnf(fact_equivp__reflp__symp__transp-4, axiom, ( ~c_Predicate_Oreflp(_u19880, _u19882) | ~c_Predicate_Osymp(_u19880, _u19882) | ~c_Predicate_Otransp(_u19880, _u19882) | c_Equiv__Relations_Oequivp(_u19880, _u19882) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_max__extp_Osimps ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_max__extp_Osimps-1, axiom, ( ~c_Wellfounded_Omax__extp(_u19891, _u19893, _u19895, _u19897) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19891), _u19895)) )).
% 20.36/20.58 cnf(fact_max__extp_Osimps-2, axiom, ( ~c_Wellfounded_Omax__extp(_u19891, _u19893, _u19895, _u19897) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19891), _u19897)) )).
% 20.36/20.58 cnf(fact_max__extp_Osimps-3, axiom, ( ~c_Wellfounded_Omax__extp(_u19891, _u19893, _u19895, _u19897) | ( _u19897 != c_Orderings_Obot__class_Obot(tc_fun(_u19891, tc_HOL_Obool))) )).
% 20.36/20.58 cnf(fact_max__extp_Osimps-4, axiom, ( ~c_Wellfounded_Omax__extp(_u19891, _u19893, _u19895, _u19897) | ~hBOOL(hAPP(hAPP(c_member(_u19891), _u19884), _u19895)) | hBOOL(hAPP(hAPP(c_member(_u19891), skolem533(_u19897, _u19895, _u19893, _u19891, _u19884)), _u19897)) )).
% 20.36/20.58 cnf(fact_max__extp_Osimps-5, axiom, ( ~c_Wellfounded_Omax__extp(_u19891, _u19893, _u19895, _u19897) | ~hBOOL(hAPP(hAPP(c_member(_u19891), _u19884), _u19895)) | hBOOL(hAPP(hAPP(_u19893, _u19884), skolem533(_u19897, _u19895, _u19893, _u19891, _u19884))) )).
% 20.36/20.58 cnf(fact_max__extp_Osimps-6, axiom, ( c_Wellfounded_Omax__extp(_u19892, _u19894, _u19896, _u19898) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19892), _u19896)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19892), _u19898)) | ( _u19898 = c_Orderings_Obot__class_Obot(tc_fun(_u19892, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u19892), skolem534(_u19898, _u19896, _u19894, _u19892)), _u19896)) )).
% 20.36/20.58 cnf(fact_max__extp_Osimps-7, axiom, ( c_Wellfounded_Omax__extp(_u19892, _u19894, _u19896, _u19898) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19892), _u19896)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19892), _u19898)) | ( _u19898 = c_Orderings_Obot__class_Obot(tc_fun(_u19892, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u19892), _u19885), _u19898)) | ~hBOOL(hAPP(hAPP(_u19894, skolem534(_u19898, _u19896, _u19894, _u19892)), _u19885)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_trans__diff__Id ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_trans__diff__Id-1, axiom, ( ~c_Relation_Otrans(_u19899, _u19900) | ~c_Relation_Oantisym(_u19899, _u19900) | c_Relation_Otrans(_u19899, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u19899, _u19899), tc_HOL_Obool)), _u19900), c_Relation_OId(_u19899))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_antisym__Id__on ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_antisym__Id__on-1, axiom, ( c_Relation_Oantisym(_u19901, c_Relation_OId__on(_u19901, _u19902)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_antisym__empty ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_antisym__empty-1, axiom, ( c_Relation_Oantisym(_u19903, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u19903, _u19903), tc_HOL_Obool))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_antisym__converse ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_antisym__converse-1, axiom, ( ~c_Relation_Oantisym(_u19906, hAPP(c_Relation_Oconverse(_u19906, _u19906), _u19908)) | c_Relation_Oantisym(_u19906, _u19908) )).
% 20.36/20.58 cnf(fact_antisym__converse-2, axiom, ( ~c_Relation_Oantisym(_u19907, _u19909) | c_Relation_Oantisym(_u19907, hAPP(c_Relation_Oconverse(_u19907, _u19907), _u19909)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_antisym__Id ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_antisym__Id-1, axiom, ( c_Relation_Oantisym(_u19910, c_Relation_OId(_u19910)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_antisym__subset ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_antisym__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19911, _u19911), tc_HOL_Obool)), _u19912), _u19913)) | ~c_Relation_Oantisym(_u19911, _u19913) | c_Relation_Oantisym(_u19911, _u19912) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_antisymD ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_antisymD-1, axiom, ( ~c_Relation_Oantisym(_u19914, _u19915) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19914, _u19914)), hAPP(hAPP(c_Product__Type_OPair(_u19914, _u19914), _u19916), _u19917)), _u19915)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19914, _u19914)), hAPP(hAPP(c_Product__Type_OPair(_u19914, _u19914), _u19917), _u19916)), _u19915)) | ( _u19916 = _u19917) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_antisym__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_antisym__def-1, axiom, ( ~c_Relation_Oantisym(_u19924, _u19926) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19924, _u19924)), hAPP(hAPP(c_Product__Type_OPair(_u19924, _u19924), _u19919), _u19918)), _u19926)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19924, _u19924)), hAPP(hAPP(c_Product__Type_OPair(_u19924, _u19924), _u19918), _u19919)), _u19926)) | ( _u19919 = _u19918) )).
% 20.36/20.58 cnf(fact_antisym__def-2, axiom, ( c_Relation_Oantisym(_u19925, _u19927) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19925, _u19925)), hAPP(hAPP(c_Product__Type_OPair(_u19925, _u19925), skolem535(_u19927, _u19925)), skolem536(_u19927, _u19925))), _u19927)) )).
% 20.36/20.58 cnf(fact_antisym__def-3, axiom, ( c_Relation_Oantisym(_u19925, _u19927) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19925, _u19925)), hAPP(hAPP(c_Product__Type_OPair(_u19925, _u19925), skolem536(_u19927, _u19925)), skolem535(_u19927, _u19925))), _u19927)) )).
% 20.36/20.58 cnf(fact_antisym__def-4, axiom, ( c_Relation_Oantisym(_u19925, _u19927) | ( skolem535(_u19927, _u19925) != skolem536(_u19927, _u19925)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_antisym__reflcl ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_antisym__reflcl-1, axiom, ( ~c_Relation_Oantisym(_u19930, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19930, _u19930), tc_HOL_Obool)), _u19932), c_Relation_OId(_u19930))) | c_Relation_Oantisym(_u19930, _u19932) )).
% 20.36/20.58 cnf(fact_antisym__reflcl-2, axiom, ( ~c_Relation_Oantisym(_u19931, _u19933) | c_Relation_Oantisym(_u19931, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19931, _u19931), tc_HOL_Obool)), _u19933), c_Relation_OId(_u19931))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_acyclic__impl__antisym__rtrancl ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_acyclic__impl__antisym__rtrancl-1, axiom, ( ~c_Wellfounded_Oacyclic(_u19934, _u19935) | c_Relation_Oantisym(_u19934, c_Transitive__Closure_Ortrancl(_u19934, _u19935)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_fun__lub__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_fun__lub__def-1, axiom, ( ( c_Partial__Function_Ofun__lub(_u19936, _u19937, _u19938, _u19939, _u19940, _u19941) = hAPP(_u19939, hAPP(c_Set_OCollect(_u19936), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19938, _u19936), tc_HOL_Obool), tc_HOL_Obool, _u19936), c_HOL_OEx(tc_fun(_u19938, _u19936))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19938, _u19936), tc_HOL_Obool), tc_fun(tc_fun(_u19938, _u19936), tc_HOL_Obool), _u19936), hAPP(c_COMBS(tc_fun(_u19938, _u19936), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u19938, _u19936)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19938, _u19936), tc_fun(tc_fun(_u19938, _u19936), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19938, _u19936))), _u19940)))), hAPP(hAPP(c_COMBC(_u19936, tc_fun(tc_fun(_u19938, _u19936), _u19936), tc_fun(tc_fun(_u19938, _u19936), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19936, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u19938, _u19936), _u19936), tc_fun(tc_fun(_u19938, _u19936), tc_HOL_Obool)), _u19936), c_COMBB(_u19936, tc_HOL_Obool, tc_fun(_u19938, _u19936))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u19938, _u19936), _u19938, _u19936), c_COMBI(tc_fun(_u19938, _u19936))), _u19941))))))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sym__trans__comp__subset ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sym__trans__comp__subset-1, axiom, ( ~c_Relation_Osym(_u19942, _u19943) | ~c_Relation_Otrans(_u19942, _u19943) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19942, _u19942), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u19942, _u19942, _u19942), hAPP(c_Relation_Oconverse(_u19942, _u19942), _u19943)), _u19943)), _u19943)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_symD ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_symD-1, axiom, ( ~c_Relation_Osym(_u19944, _u19945) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19944, _u19944)), hAPP(hAPP(c_Product__Type_OPair(_u19944, _u19944), _u19946), _u19947)), _u19945)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19944, _u19944)), hAPP(hAPP(c_Product__Type_OPair(_u19944, _u19944), _u19947), _u19946)), _u19945)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sym__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sym__def-1, axiom, ( ~c_Relation_Osym(_u19954, _u19956) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19954, _u19954)), hAPP(hAPP(c_Product__Type_OPair(_u19954, _u19954), _u19949), _u19948)), _u19956)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19954, _u19954)), hAPP(hAPP(c_Product__Type_OPair(_u19954, _u19954), _u19948), _u19949)), _u19956)) )).
% 20.36/20.58 cnf(fact_sym__def-2, axiom, ( c_Relation_Osym(_u19955, _u19957) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19955, _u19955)), hAPP(hAPP(c_Product__Type_OPair(_u19955, _u19955), skolem537(_u19957, _u19955)), skolem538(_u19957, _u19955))), _u19957)) )).
% 20.36/20.58 cnf(fact_sym__def-3, axiom, ( c_Relation_Osym(_u19955, _u19957) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19955, _u19955)), hAPP(hAPP(c_Product__Type_OPair(_u19955, _u19955), skolem538(_u19957, _u19955)), skolem537(_u19957, _u19955))), _u19957)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sym__rtrancl ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sym__rtrancl-1, axiom, ( ~c_Relation_Osym(_u19958, _u19959) | c_Relation_Osym(_u19958, c_Transitive__Closure_Ortrancl(_u19958, _u19959)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sym__Id__on ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sym__Id__on-1, axiom, ( c_Relation_Osym(_u19960, c_Relation_OId__on(_u19960, _u19961)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sym__trancl ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sym__trancl-1, axiom, ( ~c_Relation_Osym(_u19962, _u19963) | c_Relation_Osym(_u19962, c_Transitive__Closure_Otrancl(_u19962, _u19963)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sym__Un ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sym__Un-1, axiom, ( ~c_Relation_Osym(_u19964, _u19965) | ~c_Relation_Osym(_u19964, _u19966) | c_Relation_Osym(_u19964, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19964, _u19964), tc_HOL_Obool)), _u19965), _u19966)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sym__Id ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sym__Id-1, axiom, ( c_Relation_Osym(_u19967, c_Relation_OId(_u19967)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sym__conv__converse__eq ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sym__conv__converse__eq-1, axiom, ( ~c_Relation_Osym(_u19970, _u19972) | ( hAPP(c_Relation_Oconverse(_u19970, _u19970), _u19972) = _u19972) )).
% 20.36/20.58 cnf(fact_sym__conv__converse__eq-2, axiom, ( ( hAPP(c_Relation_Oconverse(_u19971, _u19971), _u19973) != _u19973) | c_Relation_Osym(_u19971, _u19973) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sym__converse ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sym__converse-1, axiom, ( ~c_Relation_Osym(_u19976, hAPP(c_Relation_Oconverse(_u19976, _u19976), _u19978)) | c_Relation_Osym(_u19976, _u19978) )).
% 20.36/20.58 cnf(fact_sym__converse-2, axiom, ( ~c_Relation_Osym(_u19977, _u19979) | c_Relation_Osym(_u19977, hAPP(c_Relation_Oconverse(_u19977, _u19977), _u19979)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_listrel__sym ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_listrel__sym-1, axiom, ( ~c_Relation_Osym(_u19980, _u19981) | c_Relation_Osym(tc_List_Olist(_u19980), c_List_Olistrel(_u19980, _u19981)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sym__Int ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sym__Int-1, axiom, ( ~c_Relation_Osym(_u19982, _u19983) | ~c_Relation_Osym(_u19982, _u19984) | c_Relation_Osym(_u19982, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u19982, _u19982), tc_HOL_Obool)), _u19983), _u19984)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sym__Un__converse ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sym__Un__converse-1, axiom, ( c_Relation_Osym(_u19985, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19985, _u19985), tc_HOL_Obool)), _u19986), hAPP(c_Relation_Oconverse(_u19985, _u19985), _u19986))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sym__inv__image ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sym__inv__image-1, axiom, ( ~c_Relation_Osym(_u19987, _u19988) | c_Relation_Osym(_u19989, hAPP(hAPP(c_Relation_Oinv__image(_u19987, _u19989), _u19988), _u19990)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_sym__Int__converse ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_sym__Int__converse-1, axiom, ( c_Relation_Osym(_u19991, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u19991, _u19991), tc_HOL_Obool)), _u19992), hAPP(c_Relation_Oconverse(_u19991, _u19991), _u19992))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_equiv__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_equiv__def-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u19996, _u19998, _u20000) | c_Relation_Orefl__on(_u19996, _u19998, _u20000) )).
% 20.36/20.58 cnf(fact_equiv__def-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u19996, _u19998, _u20000) | c_Relation_Osym(_u19996, _u20000) )).
% 20.36/20.58 cnf(fact_equiv__def-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u19996, _u19998, _u20000) | c_Relation_Otrans(_u19996, _u20000) )).
% 20.36/20.58 cnf(fact_equiv__def-4, axiom, ( ~c_Relation_Orefl__on(_u19997, _u19999, _u20001) | ~c_Relation_Osym(_u19997, _u20001) | ~c_Relation_Otrans(_u19997, _u20001) | c_Equiv__Relations_Oequiv(_u19997, _u19999, _u20001) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_equivI ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_equivI-1, axiom, ( ~c_Relation_Orefl__on(_u20002, _u20003, _u20004) | ~c_Relation_Osym(_u20002, _u20004) | ~c_Relation_Otrans(_u20002, _u20004) | c_Equiv__Relations_Oequiv(_u20002, _u20003, _u20004) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_equivE ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_equivE-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u20005, _u20006, _u20007) | c_Relation_Orefl__on(_u20005, _u20006, _u20007) )).
% 20.36/20.58 cnf(fact_equivE-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u20005, _u20006, _u20007) | c_Relation_Osym(_u20005, _u20007) )).
% 20.36/20.58 cnf(fact_equivE-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u20005, _u20006, _u20007) | c_Relation_Otrans(_u20005, _u20007) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_symp__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_symp__def-1, axiom, ( ~c_Predicate_Osymp(_u20010, _u20012) | c_Relation_Osym(_u20010, hAPP(c_Set_OCollect(tc_prod(_u20010, _u20010)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20010, _u20010, tc_HOL_Obool), _u20012))) )).
% 20.36/20.58 cnf(fact_symp__def-2, axiom, ( ~c_Relation_Osym(_u20011, hAPP(c_Set_OCollect(tc_prod(_u20011, _u20011)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20011, _u20011, tc_HOL_Obool), _u20013))) | c_Predicate_Osymp(_u20011, _u20013) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_part__equivpI ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_part__equivpI-1, axiom, ( ~hBOOL(hAPP(hAPP(_u20015, _u20014), _u20014)) | ~c_Predicate_Osymp(_u20016, _u20015) | ~c_Predicate_Otransp(_u20016, _u20015) | c_Equiv__Relations_Opart__equivp(_u20016, _u20015) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_part__equivp__refl__symp__transp ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_part__equivp__refl__symp__transp-1, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20021, _u20023) | hBOOL(hAPP(hAPP(_u20023, skolem539(_u20023, _u20021)), skolem539(_u20023, _u20021))) )).
% 20.36/20.58 cnf(fact_part__equivp__refl__symp__transp-2, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20021, _u20023) | c_Predicate_Osymp(_u20021, _u20023) )).
% 20.36/20.58 cnf(fact_part__equivp__refl__symp__transp-3, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20021, _u20023) | c_Predicate_Otransp(_u20021, _u20023) )).
% 20.36/20.58 cnf(fact_part__equivp__refl__symp__transp-4, axiom, ( ~hBOOL(hAPP(hAPP(_u20024, _u20018), _u20018)) | ~c_Predicate_Osymp(_u20022, _u20024) | ~c_Predicate_Otransp(_u20022, _u20024) | c_Equiv__Relations_Opart__equivp(_u20022, _u20024) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_part__equivp__transp ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_part__equivp__transp-1, axiom, ( ~hBOOL(hAPP(hAPP(_u20026, _u20027), _u20028)) | ~hBOOL(hAPP(hAPP(_u20026, _u20028), _u20029)) | hBOOL(hAPP(hAPP(_u20026, _u20027), _u20029)) | ~c_Equiv__Relations_Opart__equivp(_u20025, _u20026) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_part__equivp__symp ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_part__equivp__symp-1, axiom, ( ~hBOOL(hAPP(hAPP(_u20031, _u20032), _u20033)) | hBOOL(hAPP(hAPP(_u20031, _u20033), _u20032)) | ~c_Equiv__Relations_Opart__equivp(_u20030, _u20031) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_part__equivp__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_part__equivp__def-1, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20050, _u20052) | hBOOL(hAPP(hAPP(_u20052, skolem540(_u20052)), skolem540(_u20052))) )).
% 20.36/20.58 cnf(fact_part__equivp__def-2, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20050, _u20052) | ~hBOOL(hAPP(hAPP(_u20052, _u20044), _u20042)) | hBOOL(hAPP(hAPP(_u20052, _u20044), _u20044)) )).
% 20.36/20.58 cnf(fact_part__equivp__def-3, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20050, _u20052) | ~hBOOL(hAPP(hAPP(_u20052, _u20044), _u20042)) | hBOOL(hAPP(hAPP(_u20052, _u20042), _u20042)) )).
% 20.36/20.58 cnf(fact_part__equivp__def-4, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20050, _u20052) | ~hBOOL(hAPP(hAPP(_u20052, _u20044), _u20042)) | ( hAPP(_u20052, _u20044) = hAPP(_u20052, _u20042)) )).
% 20.36/20.58 cnf(fact_part__equivp__def-5, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20050, _u20052) | ~hBOOL(hAPP(hAPP(_u20052, _u20045), _u20045)) | ~hBOOL(hAPP(hAPP(_u20052, _u20043), _u20043)) | ( hAPP(_u20052, _u20045) != hAPP(_u20052, _u20043)) | hBOOL(hAPP(hAPP(_u20052, _u20045), _u20043)) )).
% 20.36/20.58 cnf(fact_part__equivp__def-6, axiom, ( c_Equiv__Relations_Opart__equivp(_u20051, _u20053) | ~hBOOL(hAPP(hAPP(_u20053, _u20037), _u20037)) | hBOOL(hAPP(hAPP(_u20053, skolem541(_u20053)), skolem542(_u20053))) | hBOOL(hAPP(hAPP(_u20053, skolem543(_u20053)), skolem543(_u20053))) )).
% 20.36/20.58 cnf(fact_part__equivp__def-7, axiom, ( c_Equiv__Relations_Opart__equivp(_u20051, _u20053) | ~hBOOL(hAPP(hAPP(_u20053, _u20037), _u20037)) | hBOOL(hAPP(hAPP(_u20053, skolem541(_u20053)), skolem542(_u20053))) | hBOOL(hAPP(hAPP(_u20053, skolem544(_u20053)), skolem544(_u20053))) )).
% 20.36/20.58 cnf(fact_part__equivp__def-8, axiom, ( c_Equiv__Relations_Opart__equivp(_u20051, _u20053) | ~hBOOL(hAPP(hAPP(_u20053, _u20037), _u20037)) | hBOOL(hAPP(hAPP(_u20053, skolem541(_u20053)), skolem542(_u20053))) | ( hAPP(_u20053, skolem543(_u20053)) = hAPP(_u20053, skolem544(_u20053))) )).
% 20.36/20.58 cnf(fact_part__equivp__def-9, axiom, ( c_Equiv__Relations_Opart__equivp(_u20051, _u20053) | ~hBOOL(hAPP(hAPP(_u20053, _u20037), _u20037)) | hBOOL(hAPP(hAPP(_u20053, skolem541(_u20053)), skolem542(_u20053))) | ~hBOOL(hAPP(hAPP(_u20053, skolem543(_u20053)), skolem544(_u20053))) )).
% 20.36/20.58 cnf(fact_part__equivp__def-10, axiom, ( c_Equiv__Relations_Opart__equivp(_u20051, _u20053) | ~hBOOL(hAPP(hAPP(_u20053, _u20037), _u20037)) | ~hBOOL(hAPP(hAPP(_u20053, skolem541(_u20053)), skolem541(_u20053))) | ~hBOOL(hAPP(hAPP(_u20053, skolem542(_u20053)), skolem542(_u20053))) | ( hAPP(_u20053, skolem541(_u20053)) != hAPP(_u20053, skolem542(_u20053))) | hBOOL(hAPP(hAPP(_u20053, skolem543(_u20053)), skolem543(_u20053))) )).
% 20.36/20.58 cnf(fact_part__equivp__def-11, axiom, ( c_Equiv__Relations_Opart__equivp(_u20051, _u20053) | ~hBOOL(hAPP(hAPP(_u20053, _u20037), _u20037)) | ~hBOOL(hAPP(hAPP(_u20053, skolem541(_u20053)), skolem541(_u20053))) | ~hBOOL(hAPP(hAPP(_u20053, skolem542(_u20053)), skolem542(_u20053))) | ( hAPP(_u20053, skolem541(_u20053)) != hAPP(_u20053, skolem542(_u20053))) | hBOOL(hAPP(hAPP(_u20053, skolem544(_u20053)), skolem544(_u20053))) )).
% 20.36/20.58 cnf(fact_part__equivp__def-12, axiom, ( c_Equiv__Relations_Opart__equivp(_u20051, _u20053) | ~hBOOL(hAPP(hAPP(_u20053, _u20037), _u20037)) | ~hBOOL(hAPP(hAPP(_u20053, skolem541(_u20053)), skolem541(_u20053))) | ~hBOOL(hAPP(hAPP(_u20053, skolem542(_u20053)), skolem542(_u20053))) | ( hAPP(_u20053, skolem541(_u20053)) != hAPP(_u20053, skolem542(_u20053))) | ( hAPP(_u20053, skolem543(_u20053)) = hAPP(_u20053, skolem544(_u20053))) )).
% 20.36/20.58 cnf(fact_part__equivp__def-13, axiom, ( c_Equiv__Relations_Opart__equivp(_u20051, _u20053) | ~hBOOL(hAPP(hAPP(_u20053, _u20037), _u20037)) | ~hBOOL(hAPP(hAPP(_u20053, skolem541(_u20053)), skolem541(_u20053))) | ~hBOOL(hAPP(hAPP(_u20053, skolem542(_u20053)), skolem542(_u20053))) | ( hAPP(_u20053, skolem541(_u20053)) != hAPP(_u20053, skolem542(_u20053))) | ~hBOOL(hAPP(hAPP(_u20053, skolem543(_u20053)), skolem544(_u20053))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_equivp__implies__part__equivp ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_equivp__implies__part__equivp-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u20054, _u20055) | c_Equiv__Relations_Opart__equivp(_u20054, _u20055) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_part__equivpE ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_part__equivpE-1, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20057, _u20058) | hBOOL(hAPP(hAPP(_u20058, skolem545(_u20058, _u20057)), skolem545(_u20058, _u20057))) )).
% 20.36/20.58 cnf(fact_part__equivpE-2, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20057, _u20058) | c_Predicate_Osymp(_u20057, _u20058) )).
% 20.36/20.58 cnf(fact_part__equivpE-3, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20057, _u20058) | c_Predicate_Otransp(_u20057, _u20058) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_part__equivp__typedef ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_part__equivp__typedef-1, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20060, _u20061) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20060, tc_HOL_Obool)), skolem546(_u20061, _u20060)), hAPP(hAPP(c_COMBB(tc_fun(_u20060, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u20060, tc_HOL_Obool)), c_HOL_OEx(_u20060)), hAPP(hAPP(c_COMBB(tc_fun(_u20060, tc_HOL_Obool), tc_fun(_u20060, tc_HOL_Obool), tc_fun(_u20060, tc_HOL_Obool)), hAPP(c_COMBS(_u20060, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20060), c_fconj), hAPP(hAPP(c_COMBS(_u20060, _u20060, tc_HOL_Obool), _u20061), c_COMBI(_u20060))))), hAPP(hAPP(c_COMBC(tc_fun(_u20060, tc_HOL_Obool), tc_fun(_u20060, tc_fun(_u20060, tc_HOL_Obool)), tc_fun(_u20060, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20060, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u20060, tc_fun(_u20060, tc_HOL_Obool)), tc_fun(_u20060, tc_HOL_Obool)), tc_fun(_u20060, tc_HOL_Obool)), c_COMBB(tc_fun(_u20060, tc_HOL_Obool), tc_HOL_Obool, _u20060)), c_fequal)), _u20061))))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_inv__o__cancel ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_inv__o__cancel-1, axiom, ( ~c_Fun_Oinj__on(_u20062, _u20063, _u20064, c_Orderings_Otop__class_Otop(tc_fun(_u20062, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u20063, _u20062, _u20062, c_Hilbert__Choice_Oinv__into(_u20062, _u20063, c_Orderings_Otop__class_Otop(tc_fun(_u20062, tc_HOL_Obool)), _u20064)), _u20064) = c_Fun_Oid(_u20062)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_inj__iff ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_inj__iff-1, axiom, ( ~c_Fun_Oinj__on(_u20068, _u20070, _u20072, c_Orderings_Otop__class_Otop(tc_fun(_u20068, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u20070, _u20068, _u20068, c_Hilbert__Choice_Oinv__into(_u20068, _u20070, c_Orderings_Otop__class_Otop(tc_fun(_u20068, tc_HOL_Obool)), _u20072)), _u20072) = c_Fun_Oid(_u20068)) )).
% 20.36/20.58 cnf(fact_inj__iff-2, axiom, ( ( hAPP(c_Fun_Ocomp(_u20071, _u20069, _u20069, c_Hilbert__Choice_Oinv__into(_u20069, _u20071, c_Orderings_Otop__class_Otop(tc_fun(_u20069, tc_HOL_Obool)), _u20073)), _u20073) != c_Fun_Oid(_u20069)) | c_Fun_Oinj__on(_u20069, _u20071, _u20073, c_Orderings_Otop__class_Otop(tc_fun(_u20069, tc_HOL_Obool))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_inv__id ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_inv__id-1, axiom, ( ( c_Hilbert__Choice_Oinv__into(_u20074, _u20074, c_Orderings_Otop__class_Otop(tc_fun(_u20074, tc_HOL_Obool)), c_Fun_Oid(_u20074)) = c_Fun_Oid(_u20074)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_inv__f__f ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_inv__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u20075, _u20076, _u20077, c_Orderings_Otop__class_Otop(tc_fun(_u20075, tc_HOL_Obool))) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20075, _u20076, c_Orderings_Otop__class_Otop(tc_fun(_u20075, tc_HOL_Obool)), _u20077), hAPP(_u20077, _u20078)) = _u20078) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_inv__f__eq ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_inv__f__eq-1, axiom, ( ~c_Fun_Oinj__on(_u20079, _u20080, _u20081, c_Orderings_Otop__class_Otop(tc_fun(_u20079, tc_HOL_Obool))) | ( hAPP(_u20081, _u20082) != _u20083) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20079, _u20080, c_Orderings_Otop__class_Otop(tc_fun(_u20079, tc_HOL_Obool)), _u20081), _u20083) = _u20082) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_inv__into__f__eq ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_inv__into__f__eq-1, axiom, ( ~c_Fun_Oinj__on(_u20084, _u20085, _u20086, _u20087) | ~hBOOL(hAPP(hAPP(c_member(_u20084), _u20088), _u20087)) | ( hAPP(_u20086, _u20088) != _u20089) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20084, _u20085, _u20087, _u20086), _u20089) = _u20088) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_inv__into__f__f ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_inv__into__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u20090, _u20091, _u20092, _u20093) | ~hBOOL(hAPP(hAPP(c_member(_u20090), _u20094), _u20093)) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20090, _u20091, _u20093, _u20092), hAPP(_u20092, _u20094)) = _u20094) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_inv__into__injective ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_inv__into__injective-1, axiom, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u20095, _u20096, _u20097, _u20098), _u20099) != hAPP(c_Hilbert__Choice_Oinv__into(_u20095, _u20096, _u20097, _u20098), _u20100)) | ~hBOOL(hAPP(hAPP(c_member(_u20096), _u20099), hAPP(c_Set_Oimage(_u20095, _u20096, _u20098), _u20097))) | ~hBOOL(hAPP(hAPP(c_member(_u20096), _u20100), hAPP(c_Set_Oimage(_u20095, _u20096, _u20098), _u20097))) | ( _u20099 = _u20100) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_inv__into__into ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_inv__into__into-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20101), _u20102), hAPP(c_Set_Oimage(_u20103, _u20101, _u20104), _u20105))) | hBOOL(hAPP(hAPP(c_member(_u20103), hAPP(c_Hilbert__Choice_Oinv__into(_u20103, _u20101, _u20105, _u20104), _u20102)), _u20105)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_f__inv__into__f ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_f__inv__into__f-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20106), _u20107), hAPP(c_Set_Oimage(_u20108, _u20106, _u20109), _u20110))) | ( hAPP(_u20109, hAPP(c_Hilbert__Choice_Oinv__into(_u20108, _u20106, _u20110, _u20109), _u20107)) = _u20107) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_surj__iff__all ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_surj__iff__all-1, axiom, ( ( hAPP(c_Set_Oimage(_u20116, _u20118, _u20120), c_Orderings_Otop__class_Otop(tc_fun(_u20116, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20118, tc_HOL_Obool))) | ( hAPP(_u20120, hAPP(c_Hilbert__Choice_Oinv__into(_u20116, _u20118, c_Orderings_Otop__class_Otop(tc_fun(_u20116, tc_HOL_Obool)), _u20120), _u20111)) = _u20111) )).
% 20.36/20.58 cnf(fact_surj__iff__all-2, axiom, ( ( hAPP(_u20121, hAPP(c_Hilbert__Choice_Oinv__into(_u20117, _u20119, c_Orderings_Otop__class_Otop(tc_fun(_u20117, tc_HOL_Obool)), _u20121), skolem547(_u20121, _u20119, _u20117))) != skolem547(_u20121, _u20119, _u20117)) | ( hAPP(c_Set_Oimage(_u20117, _u20119, _u20121), c_Orderings_Otop__class_Otop(tc_fun(_u20117, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20119, tc_HOL_Obool))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_surj__f__inv__f ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_surj__f__inv__f-1, axiom, ( ( hAPP(c_Set_Oimage(_u20122, _u20123, _u20124), c_Orderings_Otop__class_Otop(tc_fun(_u20122, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20123, tc_HOL_Obool))) | ( hAPP(_u20124, hAPP(c_Hilbert__Choice_Oinv__into(_u20122, _u20123, c_Orderings_Otop__class_Otop(tc_fun(_u20122, tc_HOL_Obool)), _u20124), _u20125)) = _u20125) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_image__surj__f__inv__f ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_image__surj__f__inv__f-1, axiom, ( ( hAPP(c_Set_Oimage(_u20126, _u20127, _u20128), c_Orderings_Otop__class_Otop(tc_fun(_u20126, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20127, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20126, _u20127, _u20128), hAPP(c_Set_Oimage(_u20127, _u20126, c_Hilbert__Choice_Oinv__into(_u20126, _u20127, c_Orderings_Otop__class_Otop(tc_fun(_u20126, tc_HOL_Obool)), _u20128)), _u20129)) = _u20129) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_image__inv__into__cancel ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_image__inv__into__cancel-1, axiom, ( ( hAPP(c_Set_Oimage(_u20130, _u20131, _u20132), _u20133) != _u20134) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20131, tc_HOL_Obool)), _u20135), _u20134)) | ( hAPP(c_Set_Oimage(_u20130, _u20131, _u20132), hAPP(c_Set_Oimage(_u20131, _u20130, c_Hilbert__Choice_Oinv__into(_u20130, _u20131, _u20133, _u20132)), _u20135)) = _u20135) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_inv__into__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_inv__into__def-1, axiom, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u20136, _u20137, _u20138, _u20139), _u20140) = c_Hilbert__Choice_OEps(_u20136, hAPP(hAPP(c_COMBS(_u20136, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20136), c_fconj), hAPP(hAPP(c_COMBC(_u20136, tc_fun(_u20136, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20136)), _u20138))), hAPP(hAPP(c_COMBC(_u20136, _u20137, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u20137, tc_fun(_u20137, tc_HOL_Obool), _u20136), c_fequal), _u20139)), _u20140)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_inv__def ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_inv__def-1, axiom, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u20141, _u20142, c_Orderings_Otop__class_Otop(tc_fun(_u20141, tc_HOL_Obool)), _u20143), _u20144) = c_Hilbert__Choice_OEps(_u20141, hAPP(hAPP(c_COMBC(_u20141, _u20142, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u20142, tc_fun(_u20142, tc_HOL_Obool), _u20141), c_fequal), _u20143)), _u20144))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_o__inv__o__cancel ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_o__inv__o__cancel-1, axiom, ( ~c_Fun_Oinj__on(_u20145, _u20146, _u20147, c_Orderings_Otop__class_Otop(tc_fun(_u20145, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u20146, _u20148, _u20145, hAPP(c_Fun_Ocomp(_u20145, _u20148, _u20146, _u20149), c_Hilbert__Choice_Oinv__into(_u20145, _u20146, c_Orderings_Otop__class_Otop(tc_fun(_u20145, tc_HOL_Obool)), _u20147))), _u20147) = _u20149) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_surj__imp__inj__inv ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_surj__imp__inj__inv-1, axiom, ( ( hAPP(c_Set_Oimage(_u20150, _u20151, _u20152), c_Orderings_Otop__class_Otop(tc_fun(_u20150, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20151, tc_HOL_Obool))) | c_Fun_Oinj__on(_u20151, _u20150, c_Hilbert__Choice_Oinv__into(_u20150, _u20151, c_Orderings_Otop__class_Otop(tc_fun(_u20150, tc_HOL_Obool)), _u20152), c_Orderings_Otop__class_Otop(tc_fun(_u20151, tc_HOL_Obool))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_inv__image__comp ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_inv__image__comp-1, axiom, ( ~c_Fun_Oinj__on(_u20153, _u20154, _u20155, c_Orderings_Otop__class_Otop(tc_fun(_u20153, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20154, _u20153, c_Hilbert__Choice_Oinv__into(_u20153, _u20154, c_Orderings_Otop__class_Otop(tc_fun(_u20153, tc_HOL_Obool)), _u20155)), hAPP(c_Set_Oimage(_u20153, _u20154, _u20155), _u20156)) = _u20156) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_image__inv__f__f ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_image__inv__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u20157, _u20158, _u20159, c_Orderings_Otop__class_Otop(tc_fun(_u20157, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20158, _u20157, c_Hilbert__Choice_Oinv__into(_u20157, _u20158, c_Orderings_Otop__class_Otop(tc_fun(_u20157, tc_HOL_Obool)), _u20159)), hAPP(c_Set_Oimage(_u20157, _u20158, _u20159), _u20160)) = _u20160) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_inj__imp__surj__inv ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_inj__imp__surj__inv-1, axiom, ( ~c_Fun_Oinj__on(_u20161, _u20162, _u20163, c_Orderings_Otop__class_Otop(tc_fun(_u20161, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20162, _u20161, c_Hilbert__Choice_Oinv__into(_u20161, _u20162, c_Orderings_Otop__class_Otop(tc_fun(_u20161, tc_HOL_Obool)), _u20163)), c_Orderings_Otop__class_Otop(tc_fun(_u20162, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20161, tc_HOL_Obool))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_inv__into__image__cancel ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_inv__into__image__cancel-1, axiom, ( ~c_Fun_Oinj__on(_u20164, _u20165, _u20166, _u20167) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20164, tc_HOL_Obool)), _u20168), _u20167)) | ( hAPP(c_Set_Oimage(_u20165, _u20164, c_Hilbert__Choice_Oinv__into(_u20164, _u20165, _u20167, _u20166)), hAPP(c_Set_Oimage(_u20164, _u20165, _u20166), _u20168)) = _u20168) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_inj__on__inv__into ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_inj__on__inv__into-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20169, tc_HOL_Obool)), _u20170), hAPP(c_Set_Oimage(_u20171, _u20169, _u20172), _u20173))) | c_Fun_Oinj__on(_u20169, _u20171, c_Hilbert__Choice_Oinv__into(_u20171, _u20169, _u20173, _u20172), _u20170) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_inv__into__comp ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_inv__into__comp-1, axiom, ( ~c_Fun_Oinj__on(_u20174, _u20175, _u20176, hAPP(c_Set_Oimage(_u20177, _u20174, _u20178), _u20179)) | ~c_Fun_Oinj__on(_u20177, _u20174, _u20178, _u20179) | ~hBOOL(hAPP(hAPP(c_member(_u20175), _u20180), hAPP(c_Set_Oimage(_u20174, _u20175, _u20176), hAPP(c_Set_Oimage(_u20177, _u20174, _u20178), _u20179)))) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20177, _u20175, _u20179, hAPP(c_Fun_Ocomp(_u20174, _u20175, _u20177, _u20176), _u20178)), _u20180) = hAPP(hAPP(c_Fun_Ocomp(_u20174, _u20177, _u20175, c_Hilbert__Choice_Oinv__into(_u20177, _u20174, _u20179, _u20178)), c_Hilbert__Choice_Oinv__into(_u20174, _u20175, hAPP(c_Set_Oimage(_u20177, _u20174, _u20178), _u20179), _u20176)), _u20180)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_surj__iff ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_surj__iff-1, axiom, ( ( hAPP(c_Set_Oimage(_u20184, _u20186, _u20188), c_Orderings_Otop__class_Otop(tc_fun(_u20184, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20186, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u20184, _u20186, _u20186, _u20188), c_Hilbert__Choice_Oinv__into(_u20184, _u20186, c_Orderings_Otop__class_Otop(tc_fun(_u20184, tc_HOL_Obool)), _u20188)) = c_Fun_Oid(_u20186)) )).
% 20.36/20.58 cnf(fact_surj__iff-2, axiom, ( ( hAPP(c_Fun_Ocomp(_u20185, _u20187, _u20187, _u20189), c_Hilbert__Choice_Oinv__into(_u20185, _u20187, c_Orderings_Otop__class_Otop(tc_fun(_u20185, tc_HOL_Obool)), _u20189)) != c_Fun_Oid(_u20187)) | ( hAPP(c_Set_Oimage(_u20185, _u20187, _u20189), c_Orderings_Otop__class_Otop(tc_fun(_u20185, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20187, tc_HOL_Obool))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_inj__transfer ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_inj__transfer-1, axiom, ( ~c_Fun_Oinj__on(_u20191, _u20192, _u20193, c_Orderings_Otop__class_Otop(tc_fun(_u20191, tc_HOL_Obool))) | hBOOL(hAPP(_u20194, _u20195)) | hBOOL(hAPP(hAPP(c_member(_u20192), skolem548(_u20195, _u20194, _u20193, _u20192, _u20191)), hAPP(c_Set_Oimage(_u20191, _u20192, _u20193), c_Orderings_Otop__class_Otop(tc_fun(_u20191, tc_HOL_Obool))))) )).
% 20.36/20.58 cnf(fact_inj__transfer-2, axiom, ( ~c_Fun_Oinj__on(_u20191, _u20192, _u20193, c_Orderings_Otop__class_Otop(tc_fun(_u20191, tc_HOL_Obool))) | hBOOL(hAPP(_u20194, _u20195)) | ~hBOOL(hAPP(_u20194, hAPP(c_Hilbert__Choice_Oinv__into(_u20191, _u20192, c_Orderings_Otop__class_Otop(tc_fun(_u20191, tc_HOL_Obool)), _u20193), skolem548(_u20195, _u20194, _u20193, _u20192, _u20191)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_fold__image__UN__disjoint ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_fold__image__UN__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20199) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20200), _u20201)) | hBOOL(hAPP(hAPP(c_member(_u20200), skolem549(_u20204, _u20203, _u20202, _u20201, _u20200, _u20199)), _u20201)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20202, c_Groups_Otimes__class_Otimes(_u20199)), _u20204), c_Groups_Oone__class_Oone(_u20199)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20200, tc_fun(_u20202, tc_HOL_Obool)), _u20201), _u20203)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20200, c_Groups_Otimes__class_Otimes(_u20199)), hAPP(hAPP(c_COMBB(tc_fun(_u20202, tc_HOL_Obool), _u20199, _u20200), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20202, c_Groups_Otimes__class_Otimes(_u20199)), _u20204), c_Groups_Oone__class_Oone(_u20199))), _u20203)), c_Groups_Oone__class_Oone(_u20199)), _u20201)) | hBOOL(hAPP(hAPP(c_member(_u20200), skolem550(_u20204, _u20203, _u20202, _u20201, _u20200, _u20199)), _u20201)) )).
% 20.36/20.58 cnf(fact_fold__image__UN__disjoint-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20199) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20200), _u20201)) | hBOOL(hAPP(hAPP(c_member(_u20200), skolem549(_u20204, _u20203, _u20202, _u20201, _u20200, _u20199)), _u20201)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20202, c_Groups_Otimes__class_Otimes(_u20199)), _u20204), c_Groups_Oone__class_Oone(_u20199)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20200, tc_fun(_u20202, tc_HOL_Obool)), _u20201), _u20203)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20200, c_Groups_Otimes__class_Otimes(_u20199)), hAPP(hAPP(c_COMBB(tc_fun(_u20202, tc_HOL_Obool), _u20199, _u20200), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20202, c_Groups_Otimes__class_Otimes(_u20199)), _u20204), c_Groups_Oone__class_Oone(_u20199))), _u20203)), c_Groups_Oone__class_Oone(_u20199)), _u20201)) | hBOOL(hAPP(hAPP(c_member(_u20200), skolem551(_u20204, _u20203, _u20202, _u20201, _u20200, _u20199)), _u20201)) )).
% 20.36/20.58 cnf(fact_fold__image__UN__disjoint-3, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20199) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20200), _u20201)) | hBOOL(hAPP(hAPP(c_member(_u20200), skolem549(_u20204, _u20203, _u20202, _u20201, _u20200, _u20199)), _u20201)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20202, c_Groups_Otimes__class_Otimes(_u20199)), _u20204), c_Groups_Oone__class_Oone(_u20199)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20200, tc_fun(_u20202, tc_HOL_Obool)), _u20201), _u20203)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20200, c_Groups_Otimes__class_Otimes(_u20199)), hAPP(hAPP(c_COMBB(tc_fun(_u20202, tc_HOL_Obool), _u20199, _u20200), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20202, c_Groups_Otimes__class_Otimes(_u20199)), _u20204), c_Groups_Oone__class_Oone(_u20199))), _u20203)), c_Groups_Oone__class_Oone(_u20199)), _u20201)) | ( skolem550(_u20204, _u20203, _u20202, _u20201, _u20200, _u20199) != skolem551(_u20204, _u20203, _u20202, _u20201, _u20200, _u20199)) )).
% 20.36/20.58 cnf(fact_fold__image__UN__disjoint-4, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20199) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20200), _u20201)) | hBOOL(hAPP(hAPP(c_member(_u20200), skolem549(_u20204, _u20203, _u20202, _u20201, _u20200, _u20199)), _u20201)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20202, c_Groups_Otimes__class_Otimes(_u20199)), _u20204), c_Groups_Oone__class_Oone(_u20199)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20200, tc_fun(_u20202, tc_HOL_Obool)), _u20201), _u20203)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20200, c_Groups_Otimes__class_Otimes(_u20199)), hAPP(hAPP(c_COMBB(tc_fun(_u20202, tc_HOL_Obool), _u20199, _u20200), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20202, c_Groups_Otimes__class_Otimes(_u20199)), _u20204), c_Groups_Oone__class_Oone(_u20199))), _u20203)), c_Groups_Oone__class_Oone(_u20199)), _u20201)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20202, tc_HOL_Obool)), hAPP(_u20203, skolem550(_u20204, _u20203, _u20202, _u20201, _u20200, _u20199))), hAPP(_u20203, skolem551(_u20204, _u20203, _u20202, _u20201, _u20200, _u20199))) != c_Orderings_Obot__class_Obot(tc_fun(_u20202, tc_HOL_Obool))) )).
% 20.36/20.58 cnf(fact_fold__image__UN__disjoint-5, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20199) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20200), _u20201)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20202), hAPP(_u20203, skolem549(_u20204, _u20203, _u20202, _u20201, _u20200, _u20199)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20202, c_Groups_Otimes__class_Otimes(_u20199)), _u20204), c_Groups_Oone__class_Oone(_u20199)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20200, tc_fun(_u20202, tc_HOL_Obool)), _u20201), _u20203)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20200, c_Groups_Otimes__class_Otimes(_u20199)), hAPP(hAPP(c_COMBB(tc_fun(_u20202, tc_HOL_Obool), _u20199, _u20200), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20202, c_Groups_Otimes__class_Otimes(_u20199)), _u20204), c_Groups_Oone__class_Oone(_u20199))), _u20203)), c_Groups_Oone__class_Oone(_u20199)), _u20201)) | hBOOL(hAPP(hAPP(c_member(_u20200), skolem550(_u20204, _u20203, _u20202, _u20201, _u20200, _u20199)), _u20201)) )).
% 20.36/20.58 cnf(fact_fold__image__UN__disjoint-6, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20199) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20200), _u20201)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20202), hAPP(_u20203, skolem549(_u20204, _u20203, _u20202, _u20201, _u20200, _u20199)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20202, c_Groups_Otimes__class_Otimes(_u20199)), _u20204), c_Groups_Oone__class_Oone(_u20199)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20200, tc_fun(_u20202, tc_HOL_Obool)), _u20201), _u20203)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20200, c_Groups_Otimes__class_Otimes(_u20199)), hAPP(hAPP(c_COMBB(tc_fun(_u20202, tc_HOL_Obool), _u20199, _u20200), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20202, c_Groups_Otimes__class_Otimes(_u20199)), _u20204), c_Groups_Oone__class_Oone(_u20199))), _u20203)), c_Groups_Oone__class_Oone(_u20199)), _u20201)) | hBOOL(hAPP(hAPP(c_member(_u20200), skolem551(_u20204, _u20203, _u20202, _u20201, _u20200, _u20199)), _u20201)) )).
% 20.36/20.58 cnf(fact_fold__image__UN__disjoint-7, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20199) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20200), _u20201)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20202), hAPP(_u20203, skolem549(_u20204, _u20203, _u20202, _u20201, _u20200, _u20199)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20202, c_Groups_Otimes__class_Otimes(_u20199)), _u20204), c_Groups_Oone__class_Oone(_u20199)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20200, tc_fun(_u20202, tc_HOL_Obool)), _u20201), _u20203)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20200, c_Groups_Otimes__class_Otimes(_u20199)), hAPP(hAPP(c_COMBB(tc_fun(_u20202, tc_HOL_Obool), _u20199, _u20200), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20202, c_Groups_Otimes__class_Otimes(_u20199)), _u20204), c_Groups_Oone__class_Oone(_u20199))), _u20203)), c_Groups_Oone__class_Oone(_u20199)), _u20201)) | ( skolem550(_u20204, _u20203, _u20202, _u20201, _u20200, _u20199) != skolem551(_u20204, _u20203, _u20202, _u20201, _u20200, _u20199)) )).
% 20.36/20.58 cnf(fact_fold__image__UN__disjoint-8, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20199) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20200), _u20201)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20202), hAPP(_u20203, skolem549(_u20204, _u20203, _u20202, _u20201, _u20200, _u20199)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20202, c_Groups_Otimes__class_Otimes(_u20199)), _u20204), c_Groups_Oone__class_Oone(_u20199)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20200, tc_fun(_u20202, tc_HOL_Obool)), _u20201), _u20203)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20200, c_Groups_Otimes__class_Otimes(_u20199)), hAPP(hAPP(c_COMBB(tc_fun(_u20202, tc_HOL_Obool), _u20199, _u20200), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20202, c_Groups_Otimes__class_Otimes(_u20199)), _u20204), c_Groups_Oone__class_Oone(_u20199))), _u20203)), c_Groups_Oone__class_Oone(_u20199)), _u20201)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20202, tc_HOL_Obool)), hAPP(_u20203, skolem550(_u20204, _u20203, _u20202, _u20201, _u20200, _u20199))), hAPP(_u20203, skolem551(_u20204, _u20203, _u20202, _u20201, _u20200, _u20199))) != c_Orderings_Obot__class_Obot(tc_fun(_u20202, tc_HOL_Obool))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_nat__of__induct ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_nat__of__induct-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20206), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u20207, hAPP(c_Code__Numeral_Onat__of, skolem552(_u20207, _u20206)))) | hBOOL(hAPP(_u20207, _u20206)) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_nat__of__cases ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_nat__of__cases-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20209), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u20209 = hAPP(c_Code__Numeral_Onat__of, skolem553(_u20209))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_of__nat__induct ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_of__nat__induct-1, axiom, ( hBOOL(hAPP(_u20211, _u20212)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem554(_u20212, _u20211)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 20.36/20.58 cnf(fact_of__nat__induct-2, axiom, ( hBOOL(hAPP(_u20211, _u20212)) | ~hBOOL(hAPP(_u20211, hAPP(c_Code__Numeral_Oof__nat, skolem554(_u20212, _u20211)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_of__nat__cases ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_of__nat__cases-1, axiom, ( ( _u20214 = hAPP(c_Code__Numeral_Oof__nat, skolem555(_u20214))) )).
% 20.36/20.58 cnf(fact_of__nat__cases-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem555(_u20214)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 20.36/20.58
% 20.36/20.58 % Formula: fact_lazy__sequence_Orecs_I1_J ( axiom ) converted to clauses:
% 20.36/20.58 cnf(fact_lazy__sequence_Orecs_I1_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(_u20215, _u20216, _u20217, _u20218, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20216)) = _u20217) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_beyond__def ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_beyond__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u20221), _u20223)) | ( c_Quickcheck_Obeyond(_u20221, _u20223) = _u20223) )).
% 20.36/20.59 cnf(fact_beyond__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u20222), _u20224)) | ( c_Quickcheck_Obeyond(_u20222, _u20224) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_beyond__zero ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_beyond__zero-1, axiom, ( ( c_Quickcheck_Obeyond(_u20225, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_lazy__sequence_Orecs_I2_J ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_lazy__sequence_Orecs_I2_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(_u20226, _u20227, _u20228, _u20229, c_Lazy__Sequence_Olazy__sequence_OInsert(_u20227, _u20230, _u20231)) = hAPP(hAPP(hAPP(_u20229, _u20230), _u20231), c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(_u20226, _u20227, _u20228, _u20229, _u20231))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_bij__image__Collect__eq ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_bij__image__Collect__eq-1, axiom, ( ~c_Fun_Obij__betw(_u20232, _u20233, _u20234, c_Orderings_Otop__class_Otop(tc_fun(_u20232, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20233, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20232, _u20233, _u20234), hAPP(c_Set_OCollect(_u20232), _u20235)) = hAPP(c_Set_OCollect(_u20233), hAPP(hAPP(c_COMBB(_u20232, tc_HOL_Obool, _u20233), _u20235), c_Hilbert__Choice_Oinv__into(_u20232, _u20233, c_Orderings_Otop__class_Otop(tc_fun(_u20232, tc_HOL_Obool)), _u20234)))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_curry__def ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_curry__def-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Ocurry(_u20236, _u20237, _u20238, _u20239), _u20240), _u20241) = hAPP(_u20239, hAPP(hAPP(c_Product__Type_OPair(_u20236, _u20237), _u20240), _u20241))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_curryI ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_curryI-1, axiom, ( ~hBOOL(hAPP(_u20242, hAPP(hAPP(c_Product__Type_OPair(_u20243, _u20244), _u20245), _u20246))) | hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u20243, _u20244, tc_HOL_Obool, _u20242), _u20245), _u20246)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_bij__betw__id ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_bij__betw__id-1, axiom, ( c_Fun_Obij__betw(_u20247, _u20247, c_Fun_Oid(_u20247), _u20248, _u20248) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_bij__betw__inv__into ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_bij__betw__inv__into-1, axiom, ( ~c_Fun_Obij__betw(_u20249, _u20250, _u20251, _u20252, _u20253) | c_Fun_Obij__betw(_u20250, _u20249, c_Hilbert__Choice_Oinv__into(_u20249, _u20250, _u20252, _u20251), _u20253, _u20252) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_inv__into__inv__into__eq ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_inv__into__inv__into__eq-1, axiom, ( ~c_Fun_Obij__betw(_u20254, _u20255, _u20256, _u20257, _u20258) | ~hBOOL(hAPP(hAPP(c_member(_u20254), _u20259), _u20257)) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20255, _u20254, _u20258, c_Hilbert__Choice_Oinv__into(_u20254, _u20255, _u20257, _u20256)), _u20259) = hAPP(_u20256, _u20259)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_inv__inv__eq ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_inv__inv__eq-1, axiom, ( ~c_Fun_Obij__betw(_u20260, _u20261, _u20262, c_Orderings_Otop__class_Otop(tc_fun(_u20260, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20261, tc_HOL_Obool))) | ( c_Hilbert__Choice_Oinv__into(_u20261, _u20260, c_Orderings_Otop__class_Otop(tc_fun(_u20261, tc_HOL_Obool)), c_Hilbert__Choice_Oinv__into(_u20260, _u20261, c_Orderings_Otop__class_Otop(tc_fun(_u20260, tc_HOL_Obool)), _u20262)) = _u20262) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_bij__imp__bij__inv ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_bij__imp__bij__inv-1, axiom, ( ~c_Fun_Obij__betw(_u20263, _u20264, _u20265, c_Orderings_Otop__class_Otop(tc_fun(_u20263, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20264, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20264, _u20263, c_Hilbert__Choice_Oinv__into(_u20263, _u20264, c_Orderings_Otop__class_Otop(tc_fun(_u20263, tc_HOL_Obool)), _u20265), c_Orderings_Otop__class_Otop(tc_fun(_u20264, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20263, tc_HOL_Obool))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_o__inv__distrib ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_o__inv__distrib-1, axiom, ( ~c_Fun_Obij__betw(_u20266, _u20267, _u20268, c_Orderings_Otop__class_Otop(tc_fun(_u20266, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20267, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u20269, _u20266, _u20270, c_Orderings_Otop__class_Otop(tc_fun(_u20269, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20266, tc_HOL_Obool))) | ( c_Hilbert__Choice_Oinv__into(_u20269, _u20267, c_Orderings_Otop__class_Otop(tc_fun(_u20269, tc_HOL_Obool)), hAPP(c_Fun_Ocomp(_u20266, _u20267, _u20269, _u20268), _u20270)) = hAPP(c_Fun_Ocomp(_u20266, _u20269, _u20267, c_Hilbert__Choice_Oinv__into(_u20269, _u20266, c_Orderings_Otop__class_Otop(tc_fun(_u20269, tc_HOL_Obool)), _u20270)), c_Hilbert__Choice_Oinv__into(_u20266, _u20267, c_Orderings_Otop__class_Otop(tc_fun(_u20266, tc_HOL_Obool)), _u20268))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_bij__image__INT ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_bij__image__INT-1, axiom, ( ~c_Fun_Obij__betw(_u20271, _u20272, _u20273, c_Orderings_Otop__class_Otop(tc_fun(_u20271, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20272, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20271, _u20272, _u20273), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20274, tc_fun(_u20271, tc_HOL_Obool)), _u20275), _u20276)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20274, tc_fun(_u20272, tc_HOL_Obool)), _u20275), hAPP(hAPP(c_COMBB(tc_fun(_u20271, tc_HOL_Obool), tc_fun(_u20272, tc_HOL_Obool), _u20274), c_Set_Oimage(_u20271, _u20272, _u20273)), _u20276))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_bij__betw__comp__iff2 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_bij__betw__comp__iff2-1, axiom, ( ~c_Fun_Obij__betw(_u20277, _u20278, _u20279, _u20280, _u20281) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20277, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u20282, _u20277, _u20283), _u20284)), _u20280)) | ~c_Fun_Obij__betw(_u20282, _u20277, _u20283, _u20284, _u20280) | c_Fun_Obij__betw(_u20282, _u20278, hAPP(c_Fun_Ocomp(_u20277, _u20278, _u20282, _u20279), _u20283), _u20284, _u20281) )).
% 20.36/20.59 cnf(fact_bij__betw__comp__iff2-2, axiom, ( ~c_Fun_Obij__betw(_u20277, _u20278, _u20279, _u20280, _u20281) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20277, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u20282, _u20277, _u20283), _u20284)), _u20280)) | ~c_Fun_Obij__betw(_u20282, _u20278, hAPP(c_Fun_Ocomp(_u20277, _u20278, _u20282, _u20279), _u20283), _u20284, _u20281) | c_Fun_Obij__betw(_u20282, _u20277, _u20283, _u20284, _u20280) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_bij__betw__trans ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_bij__betw__trans-1, axiom, ( ~c_Fun_Obij__betw(_u20285, _u20286, _u20287, _u20288, _u20289) | ~c_Fun_Obij__betw(_u20286, _u20290, _u20291, _u20289, _u20292) | c_Fun_Obij__betw(_u20285, _u20290, hAPP(c_Fun_Ocomp(_u20286, _u20290, _u20285, _u20291), _u20287), _u20288, _u20292) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_bij__betw__comp__iff ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_bij__betw__comp__iff-1, axiom, ( ~c_Fun_Obij__betw(_u20293, _u20294, _u20295, _u20296, _u20297) | ~c_Fun_Obij__betw(_u20294, _u20298, _u20299, _u20297, _u20300) | c_Fun_Obij__betw(_u20293, _u20298, hAPP(c_Fun_Ocomp(_u20294, _u20298, _u20293, _u20299), _u20295), _u20296, _u20300) )).
% 20.36/20.59 cnf(fact_bij__betw__comp__iff-2, axiom, ( ~c_Fun_Obij__betw(_u20293, _u20294, _u20295, _u20296, _u20297) | ~c_Fun_Obij__betw(_u20293, _u20298, hAPP(c_Fun_Ocomp(_u20294, _u20298, _u20293, _u20299), _u20295), _u20296, _u20300) | c_Fun_Obij__betw(_u20294, _u20298, _u20299, _u20297, _u20300) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_bij__comp ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_bij__comp-1, axiom, ( ~c_Fun_Obij__betw(_u20301, _u20302, _u20303, c_Orderings_Otop__class_Otop(tc_fun(_u20301, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20302, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u20302, _u20304, _u20305, c_Orderings_Otop__class_Otop(tc_fun(_u20302, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20304, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20301, _u20304, hAPP(c_Fun_Ocomp(_u20302, _u20304, _u20301, _u20305), _u20303), c_Orderings_Otop__class_Otop(tc_fun(_u20301, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20304, tc_HOL_Obool))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_curryE ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_curryE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u20306, _u20307, tc_HOL_Obool, _u20308), _u20309), _u20310)) | hBOOL(hAPP(_u20308, hAPP(hAPP(c_Product__Type_OPair(_u20306, _u20307), _u20309), _u20310))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_curryD ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_curryD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u20311, _u20312, tc_HOL_Obool, _u20313), _u20314), _u20315)) | hBOOL(hAPP(_u20313, hAPP(hAPP(c_Product__Type_OPair(_u20311, _u20312), _u20314), _u20315))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_curry__conv ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_curry__conv-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Ocurry(_u20316, _u20317, _u20318, _u20319), _u20320), _u20321) = hAPP(_u20319, hAPP(hAPP(c_Product__Type_OPair(_u20316, _u20317), _u20320), _u20321))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_finite__vimage__iff ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_finite__vimage__iff-1, axiom, ( ~c_Fun_Obij__betw(_u20322, _u20323, _u20324, c_Orderings_Otop__class_Otop(tc_fun(_u20322, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20323, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20322), hAPP(c_Set_Ovimage(_u20322, _u20323, _u20324), _u20325))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20323), _u20325)) )).
% 20.36/20.59 cnf(fact_finite__vimage__iff-2, axiom, ( ~c_Fun_Obij__betw(_u20322, _u20323, _u20324, c_Orderings_Otop__class_Otop(tc_fun(_u20322, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20323, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20323), _u20325)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20322), hAPP(c_Set_Ovimage(_u20322, _u20323, _u20324), _u20325))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_bij__image__Compl__eq ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_bij__image__Compl__eq-1, axiom, ( ~c_Fun_Obij__betw(_u20326, _u20327, _u20328, c_Orderings_Otop__class_Otop(tc_fun(_u20326, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20327, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20326, _u20327, _u20328), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u20326, tc_HOL_Obool)), _u20329)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u20327, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u20326, _u20327, _u20328), _u20329))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_bij__def ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_bij__def-1, axiom, ( ~c_Fun_Obij__betw(_u20333, _u20335, _u20337, c_Orderings_Otop__class_Otop(tc_fun(_u20333, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20335, tc_HOL_Obool))) | c_Fun_Oinj__on(_u20333, _u20335, _u20337, c_Orderings_Otop__class_Otop(tc_fun(_u20333, tc_HOL_Obool))) )).
% 20.36/20.59 cnf(fact_bij__def-2, axiom, ( ~c_Fun_Obij__betw(_u20333, _u20335, _u20337, c_Orderings_Otop__class_Otop(tc_fun(_u20333, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20335, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20333, _u20335, _u20337), c_Orderings_Otop__class_Otop(tc_fun(_u20333, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20335, tc_HOL_Obool))) )).
% 20.36/20.59 cnf(fact_bij__def-3, axiom, ( ~c_Fun_Oinj__on(_u20334, _u20336, _u20338, c_Orderings_Otop__class_Otop(tc_fun(_u20334, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20334, _u20336, _u20338), c_Orderings_Otop__class_Otop(tc_fun(_u20334, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20336, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20334, _u20336, _u20338, c_Orderings_Otop__class_Otop(tc_fun(_u20334, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20336, tc_HOL_Obool))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_bijI ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_bijI-1, axiom, ( ~c_Fun_Oinj__on(_u20339, _u20340, _u20341, c_Orderings_Otop__class_Otop(tc_fun(_u20339, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20339, _u20340, _u20341), c_Orderings_Otop__class_Otop(tc_fun(_u20339, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20340, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20339, _u20340, _u20341, c_Orderings_Otop__class_Otop(tc_fun(_u20339, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20340, tc_HOL_Obool))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_bij__betw__combine ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_bij__betw__combine-1, axiom, ( ~c_Fun_Obij__betw(_u20342, _u20343, _u20344, _u20345, _u20346) | ~c_Fun_Obij__betw(_u20342, _u20343, _u20344, _u20347, _u20348) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20343, tc_HOL_Obool)), _u20346), _u20348) != c_Orderings_Obot__class_Obot(tc_fun(_u20343, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20342, _u20343, _u20344, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20342, tc_HOL_Obool)), _u20345), _u20347), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20343, tc_HOL_Obool)), _u20346), _u20348)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_bij__betw__Disj__Un ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_bij__betw__Disj__Un-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20349, tc_HOL_Obool)), _u20350), _u20351) != c_Orderings_Obot__class_Obot(tc_fun(_u20349, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20352, tc_HOL_Obool)), _u20353), _u20354) != c_Orderings_Obot__class_Obot(tc_fun(_u20352, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u20349, _u20352, _u20355, _u20350, _u20353) | ~c_Fun_Obij__betw(_u20349, _u20352, _u20355, _u20351, _u20354) | c_Fun_Obij__betw(_u20349, _u20352, _u20355, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20349, tc_HOL_Obool)), _u20350), _u20351), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20352, tc_HOL_Obool)), _u20353), _u20354)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_bij__betw__subset ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_bij__betw__subset-1, axiom, ( ~c_Fun_Obij__betw(_u20356, _u20357, _u20358, _u20359, _u20360) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20356, tc_HOL_Obool)), _u20361), _u20359)) | ( hAPP(c_Set_Oimage(_u20356, _u20357, _u20358), _u20361) != _u20362) | c_Fun_Obij__betw(_u20356, _u20357, _u20358, _u20361, _u20362) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_bij__is__surj ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_bij__is__surj-1, axiom, ( ~c_Fun_Obij__betw(_u20363, _u20364, _u20365, c_Orderings_Otop__class_Otop(tc_fun(_u20363, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20364, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20363, _u20364, _u20365), c_Orderings_Otop__class_Otop(tc_fun(_u20363, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20364, tc_HOL_Obool))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_bij__betw__imp__surj ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_bij__betw__imp__surj-1, axiom, ( ~c_Fun_Obij__betw(_u20366, _u20367, _u20368, _u20369, c_Orderings_Otop__class_Otop(tc_fun(_u20367, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20366, _u20367, _u20368), c_Orderings_Otop__class_Otop(tc_fun(_u20366, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20367, tc_HOL_Obool))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_bij__betw__def ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_bij__betw__def-1, axiom, ( ~c_Fun_Obij__betw(_u20375, _u20377, _u20379, _u20381, _u20383) | c_Fun_Oinj__on(_u20375, _u20377, _u20379, _u20381) )).
% 20.36/20.59 cnf(fact_bij__betw__def-2, axiom, ( ~c_Fun_Obij__betw(_u20375, _u20377, _u20379, _u20381, _u20383) | ( hAPP(c_Set_Oimage(_u20375, _u20377, _u20379), _u20381) = _u20383) )).
% 20.36/20.59 cnf(fact_bij__betw__def-3, axiom, ( ~c_Fun_Oinj__on(_u20376, _u20378, _u20380, _u20382) | ( hAPP(c_Set_Oimage(_u20376, _u20378, _u20380), _u20382) != _u20384) | c_Fun_Obij__betw(_u20376, _u20378, _u20380, _u20382, _u20384) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_inj__on__imp__bij__betw ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_inj__on__imp__bij__betw-1, axiom, ( ~c_Fun_Oinj__on(_u20385, _u20386, _u20387, _u20388) | c_Fun_Obij__betw(_u20385, _u20386, _u20387, _u20388, hAPP(c_Set_Oimage(_u20385, _u20386, _u20387), _u20388)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_bij__betw__imp__inj__on ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_bij__betw__imp__inj__on-1, axiom, ( ~c_Fun_Obij__betw(_u20389, _u20390, _u20391, _u20392, _u20393) | c_Fun_Oinj__on(_u20389, _u20390, _u20391, _u20392) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_bij__is__inj ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_bij__is__inj-1, axiom, ( ~c_Fun_Obij__betw(_u20394, _u20395, _u20396, c_Orderings_Otop__class_Otop(tc_fun(_u20394, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20395, tc_HOL_Obool))) | c_Fun_Oinj__on(_u20394, _u20395, _u20396, c_Orderings_Otop__class_Otop(tc_fun(_u20394, tc_HOL_Obool))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_bij__betw__the__inv__into ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_bij__betw__the__inv__into-1, axiom, ( ~c_Fun_Obij__betw(_u20397, _u20398, _u20399, _u20400, _u20401) | c_Fun_Obij__betw(_u20398, _u20397, c_Fun_Othe__inv__into(_u20397, _u20398, _u20400, _u20399), _u20401, _u20400) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_bij__betw__same__card ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_bij__betw__same__card-1, axiom, ( ~c_Fun_Obij__betw(_u20402, _u20403, _u20404, _u20405, _u20406) | ( hAPP(c_Finite__Set_Ocard(_u20402), _u20405) = hAPP(c_Finite__Set_Ocard(_u20403), _u20406)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_bij__betw__empty2 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_bij__betw__empty2-1, axiom, ( ~c_Fun_Obij__betw(_u20407, _u20408, _u20409, _u20410, c_Orderings_Obot__class_Obot(tc_fun(_u20408, tc_HOL_Obool))) | ( _u20410 = c_Orderings_Obot__class_Obot(tc_fun(_u20407, tc_HOL_Obool))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_bij__betw__empty1 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_bij__betw__empty1-1, axiom, ( ( _u20414 = c_Orderings_Obot__class_Obot(tc_fun(_u20412, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u20411, _u20412, _u20413, c_Orderings_Obot__class_Obot(tc_fun(_u20411, tc_HOL_Obool)), _u20414) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_bij__betw__finite ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_bij__betw__finite-1, axiom, ( ~c_Fun_Obij__betw(_u20415, _u20416, _u20417, _u20418, _u20419) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20415), _u20418)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20416), _u20419)) )).
% 20.36/20.59 cnf(fact_bij__betw__finite-2, axiom, ( ~c_Fun_Obij__betw(_u20415, _u20416, _u20417, _u20418, _u20419) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20416), _u20419)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20415), _u20418)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_BIJ ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_BIJ-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20422), _u20423)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20424), _u20425)) | ~c_Fun_Obij__betw(_u20422, _u20424, _u20420, _u20423, _u20425) | ( hAPP(c_Finite__Set_Ocard(_u20422), _u20423) = hAPP(c_Finite__Set_Ocard(_u20424), _u20425)) )).
% 20.36/20.59 cnf(fact_BIJ-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20422), _u20423)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20424), _u20425)) | ( hAPP(c_Finite__Set_Ocard(_u20422), _u20423) != hAPP(c_Finite__Set_Ocard(_u20424), _u20425)) | c_Fun_Obij__betw(_u20422, _u20424, skolem556(_u20425, _u20424, _u20423, _u20422), _u20423, _u20425) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_bij__betw__id__iff ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_bij__betw__id__iff-1, axiom, ( ( _u20431 = _u20433) | ~c_Fun_Obij__betw(_u20429, _u20429, c_Fun_Oid(_u20429), _u20431, _u20433) )).
% 20.36/20.59 cnf(fact_bij__betw__id__iff-2, axiom, ( ( _u20432 != _u20434) | c_Fun_Obij__betw(_u20430, _u20430, c_Fun_Oid(_u20430), _u20432, _u20434) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_bij__id ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_bij__id-1, axiom, ( c_Fun_Obij__betw(_u20435, _u20435, c_Fun_Oid(_u20435), c_Orderings_Otop__class_Otop(tc_fun(_u20435, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20435, tc_HOL_Obool))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_split__curry ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_split__curry-1, axiom, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u20436, _u20437, _u20438), c_Product__Type_Ocurry(_u20436, _u20437, _u20438, _u20439)) = _u20439) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_curry__split ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_curry__split-1, axiom, ( ( c_Product__Type_Ocurry(_u20440, _u20441, _u20442, hAPP(c_Product__Type_Oprod_Oprod__case(_u20440, _u20441, _u20442), _u20443)) = _u20443) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_vimage__subset__eq ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_vimage__subset__eq-1, axiom, ( ~c_Fun_Obij__betw(_u20444, _u20445, _u20446, c_Orderings_Otop__class_Otop(tc_fun(_u20444, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20445, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20444, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u20444, _u20445, _u20446), _u20447)), _u20448)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20445, tc_HOL_Obool)), _u20447), hAPP(c_Set_Oimage(_u20444, _u20445, _u20446), _u20448))) )).
% 20.36/20.59 cnf(fact_vimage__subset__eq-2, axiom, ( ~c_Fun_Obij__betw(_u20444, _u20445, _u20446, c_Orderings_Otop__class_Otop(tc_fun(_u20444, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20445, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20445, tc_HOL_Obool)), _u20447), hAPP(c_Set_Oimage(_u20444, _u20445, _u20446), _u20448))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20444, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u20444, _u20445, _u20446), _u20447)), _u20448)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_bij__vimage__eq__inv__image ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_bij__vimage__eq__inv__image-1, axiom, ( ~c_Fun_Obij__betw(_u20449, _u20450, _u20451, c_Orderings_Otop__class_Otop(tc_fun(_u20449, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20450, tc_HOL_Obool))) | ( hAPP(c_Set_Ovimage(_u20449, _u20450, _u20451), _u20452) = hAPP(c_Set_Oimage(_u20450, _u20449, c_Hilbert__Choice_Oinv__into(_u20449, _u20450, c_Orderings_Otop__class_Otop(tc_fun(_u20449, tc_HOL_Obool)), _u20451)), _u20452)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_ex__bij__betw__nat__finite__1 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_ex__bij__betw__nat__finite__1-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20454), _u20455)) | c_Fun_Obij__betw(tc_Nat_Onat, _u20454, skolem557(_u20455, _u20454), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u20454), _u20455)), _u20455) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_Cantor__Bernstein ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_Cantor__Bernstein-1, axiom, ( ~c_Fun_Oinj__on(_u20457, _u20458, _u20459, _u20460) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20458, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u20457, _u20458, _u20459), _u20460)), _u20461)) | ~c_Fun_Oinj__on(_u20458, _u20457, _u20462, _u20461) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20457, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u20458, _u20457, _u20462), _u20461)), _u20460)) | c_Fun_Obij__betw(_u20457, _u20458, skolem558(_u20462, _u20461, _u20460, _u20459, _u20458, _u20457), _u20460, _u20461) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_ex__bij__betw__nat__finite ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_ex__bij__betw__nat__finite-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20464), _u20465)) | c_Fun_Obij__betw(tc_Nat_Onat, _u20464, skolem559(_u20465, _u20464), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u20464), _u20465)), _u20465) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_ex__bij__betw__finite__nat ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_ex__bij__betw__finite__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20467), _u20468)) | c_Fun_Obij__betw(_u20467, tc_Nat_Onat, skolem560(_u20468, _u20467), _u20468, hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u20467), _u20468))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_refl__on__UNION ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_refl__on__UNION-1, axiom, ( c_Relation_Orefl__on(_u20472, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20470, tc_fun(_u20472, tc_HOL_Obool)), _u20471), _u20473), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20470, tc_fun(tc_prod(_u20472, _u20472), tc_HOL_Obool)), _u20471), _u20474)) | hBOOL(hAPP(hAPP(c_member(_u20470), skolem561(_u20474, _u20473, _u20472, _u20471, _u20470)), _u20471)) )).
% 20.36/20.59 cnf(fact_refl__on__UNION-2, axiom, ( c_Relation_Orefl__on(_u20472, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20470, tc_fun(_u20472, tc_HOL_Obool)), _u20471), _u20473), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20470, tc_fun(tc_prod(_u20472, _u20472), tc_HOL_Obool)), _u20471), _u20474)) | ~c_Relation_Orefl__on(_u20472, hAPP(_u20473, skolem561(_u20474, _u20473, _u20472, _u20471, _u20470)), hAPP(_u20474, skolem561(_u20474, _u20473, _u20472, _u20471, _u20470))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_bex__reg__eqv ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_bex__reg__eqv-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u20479, _u20480) | ~hBOOL(hAPP(hAPP(c_member(_u20479), _u20475), c_Quotient_ORespects(_u20479, _u20480))) | ~hBOOL(hAPP(_u20481, _u20475)) | hBOOL(hAPP(_u20481, skolem562(_u20481, _u20480, _u20479))) )).
% 20.36/20.59 cnf(fact_bex__reg__eqv-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u20479, _u20480) | ~hBOOL(hAPP(_u20481, _u20477)) | hBOOL(hAPP(hAPP(c_member(_u20479), skolem563(_u20481, _u20480, _u20479)), c_Quotient_ORespects(_u20479, _u20480))) )).
% 20.36/20.59 cnf(fact_bex__reg__eqv-3, axiom, ( ~c_Equiv__Relations_Oequivp(_u20479, _u20480) | ~hBOOL(hAPP(_u20481, _u20477)) | hBOOL(hAPP(_u20481, skolem563(_u20481, _u20480, _u20479))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_in__respects ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_in__respects-1, axiom, ( hBOOL(hAPP(hAPP(_u20489, _u20487), _u20487)) | ~hBOOL(hAPP(hAPP(c_member(_u20485), _u20487), c_Quotient_ORespects(_u20485, _u20489))) )).
% 20.36/20.59 cnf(fact_in__respects-2, axiom, ( ~hBOOL(hAPP(hAPP(_u20490, _u20488), _u20488)) | hBOOL(hAPP(hAPP(c_member(_u20486), _u20488), c_Quotient_ORespects(_u20486, _u20490))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_Respects__def ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_Respects__def-1, axiom, ( hBOOL(hAPP(hAPP(_u20496, _u20498), _u20498)) | ~hBOOL(hAPP(c_Quotient_ORespects(_u20494, _u20496), _u20498)) )).
% 20.36/20.59 cnf(fact_Respects__def-2, axiom, ( ~hBOOL(hAPP(hAPP(_u20497, _u20499), _u20499)) | hBOOL(hAPP(c_Quotient_ORespects(_u20495, _u20497), _u20499)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_bex__reg__right ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_bex__reg__right-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u20503, _u20504) | hBOOL(hAPP(_u20505, skolem564(_u20506, _u20505, _u20504, _u20503))) | ~hBOOL(hAPP(_u20505, _u20501)) | hBOOL(hAPP(hAPP(c_member(_u20503), skolem565(_u20506, _u20505, _u20504, _u20503)), c_Quotient_ORespects(_u20503, _u20504))) )).
% 20.36/20.59 cnf(fact_bex__reg__right-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u20503, _u20504) | hBOOL(hAPP(_u20505, skolem564(_u20506, _u20505, _u20504, _u20503))) | ~hBOOL(hAPP(_u20505, _u20501)) | hBOOL(hAPP(_u20506, skolem565(_u20506, _u20505, _u20504, _u20503))) )).
% 20.36/20.59 cnf(fact_bex__reg__right-3, axiom, ( ~c_Equiv__Relations_Oequivp(_u20503, _u20504) | ~hBOOL(hAPP(_u20506, skolem564(_u20506, _u20505, _u20504, _u20503))) | ~hBOOL(hAPP(_u20505, _u20501)) | hBOOL(hAPP(hAPP(c_member(_u20503), skolem565(_u20506, _u20505, _u20504, _u20503)), c_Quotient_ORespects(_u20503, _u20504))) )).
% 20.36/20.59 cnf(fact_bex__reg__right-4, axiom, ( ~c_Equiv__Relations_Oequivp(_u20503, _u20504) | ~hBOOL(hAPP(_u20506, skolem564(_u20506, _u20505, _u20504, _u20503))) | ~hBOOL(hAPP(_u20505, _u20501)) | hBOOL(hAPP(_u20506, skolem565(_u20506, _u20505, _u20504, _u20503))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_babs__reg__eqv ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_babs__reg__eqv-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u20507, _u20508) | ( c_Quotient_OBabs(_u20507, _u20509, c_Quotient_ORespects(_u20507, _u20508), _u20510) = _u20510) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_Babs__def ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_Babs__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20511), _u20512), _u20513)) | ( hAPP(c_Quotient_OBabs(_u20511, _u20514, _u20513, _u20515), _u20512) = hAPP(_u20515, _u20512)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_wf__weak__decr__stable ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_wf__weak__decr__stable-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20519, _u20519)), hAPP(hAPP(c_Product__Type_OPair(_u20519, _u20519), hAPP(_u20520, hAPP(c_Nat_OSuc, skolem566(_u20521, _u20520, _u20519)))), hAPP(_u20520, skolem566(_u20521, _u20520, _u20519)))), c_Transitive__Closure_Ortrancl(_u20519, _u20521))) | ~c_Wellfounded_Owf(_u20519, c_Transitive__Closure_Otrancl(_u20519, _u20521)) | ( hAPP(_u20520, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem567(_u20521, _u20520, _u20519)), _u20517)) = hAPP(_u20520, skolem567(_u20521, _u20520, _u20519))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_INT__anti__mono ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_INT__anti__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20523, tc_HOL_Obool)), _u20524), _u20525)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20526, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20523, tc_fun(_u20526, tc_HOL_Obool)), _u20525), _u20527)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20523, tc_fun(_u20526, tc_HOL_Obool)), _u20525), _u20528))) | hBOOL(hAPP(hAPP(c_member(_u20523), skolem568(_u20528, _u20527, _u20526, _u20525, _u20524, _u20523)), _u20525)) )).
% 20.36/20.59 cnf(fact_INT__anti__mono-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20523, tc_HOL_Obool)), _u20524), _u20525)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20526, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20523, tc_fun(_u20526, tc_HOL_Obool)), _u20525), _u20527)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20523, tc_fun(_u20526, tc_HOL_Obool)), _u20525), _u20528))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20526, tc_HOL_Obool)), hAPP(_u20527, skolem568(_u20528, _u20527, _u20526, _u20525, _u20524, _u20523))), hAPP(_u20528, skolem568(_u20528, _u20527, _u20526, _u20525, _u20524, _u20523)))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_INT__greatest ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_INT__greatest-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20532, tc_HOL_Obool)), _u20533), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20530, tc_fun(_u20532, tc_HOL_Obool)), _u20531), _u20534))) | hBOOL(hAPP(hAPP(c_member(_u20530), skolem569(_u20534, _u20533, _u20532, _u20531, _u20530)), _u20531)) )).
% 20.36/20.59 cnf(fact_INT__greatest-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20532, tc_HOL_Obool)), _u20533), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20530, tc_fun(_u20532, tc_HOL_Obool)), _u20531), _u20534))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20532, tc_HOL_Obool)), _u20533), hAPP(_u20534, skolem569(_u20534, _u20533, _u20532, _u20531, _u20530)))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_rtrancl__induct2 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_rtrancl__induct2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20539, _u20540), tc_prod(_u20539, _u20540))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20539, _u20540), tc_prod(_u20539, _u20540)), hAPP(hAPP(c_Product__Type_OPair(_u20539, _u20540), _u20541), _u20542)), hAPP(hAPP(c_Product__Type_OPair(_u20539, _u20540), _u20543), _u20544))), c_Transitive__Closure_Ortrancl(tc_prod(_u20539, _u20540), _u20545))) | ~hBOOL(hAPP(hAPP(_u20546, _u20541), _u20542)) | hBOOL(hAPP(hAPP(_u20546, _u20543), _u20544)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20539, _u20540), tc_prod(_u20539, _u20540))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20539, _u20540), tc_prod(_u20539, _u20540)), hAPP(hAPP(c_Product__Type_OPair(_u20539, _u20540), _u20541), _u20542)), hAPP(hAPP(c_Product__Type_OPair(_u20539, _u20540), skolem570(_u20546, _u20545, _u20544, _u20543, _u20542, _u20541, _u20540, _u20539)), skolem571(_u20546, _u20545, _u20544, _u20543, _u20542, _u20541, _u20540, _u20539)))), c_Transitive__Closure_Ortrancl(tc_prod(_u20539, _u20540), _u20545))) )).
% 20.36/20.59 cnf(fact_rtrancl__induct2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20539, _u20540), tc_prod(_u20539, _u20540))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20539, _u20540), tc_prod(_u20539, _u20540)), hAPP(hAPP(c_Product__Type_OPair(_u20539, _u20540), _u20541), _u20542)), hAPP(hAPP(c_Product__Type_OPair(_u20539, _u20540), _u20543), _u20544))), c_Transitive__Closure_Ortrancl(tc_prod(_u20539, _u20540), _u20545))) | ~hBOOL(hAPP(hAPP(_u20546, _u20541), _u20542)) | hBOOL(hAPP(hAPP(_u20546, _u20543), _u20544)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20539, _u20540), tc_prod(_u20539, _u20540))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20539, _u20540), tc_prod(_u20539, _u20540)), hAPP(hAPP(c_Product__Type_OPair(_u20539, _u20540), skolem570(_u20546, _u20545, _u20544, _u20543, _u20542, _u20541, _u20540, _u20539)), skolem571(_u20546, _u20545, _u20544, _u20543, _u20542, _u20541, _u20540, _u20539))), hAPP(hAPP(c_Product__Type_OPair(_u20539, _u20540), skolem572(_u20546, _u20545, _u20544, _u20543, _u20542, _u20541, _u20540, _u20539)), skolem573(_u20546, _u20545, _u20544, _u20543, _u20542, _u20541, _u20540, _u20539)))), _u20545)) )).
% 20.36/20.59 cnf(fact_rtrancl__induct2-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20539, _u20540), tc_prod(_u20539, _u20540))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20539, _u20540), tc_prod(_u20539, _u20540)), hAPP(hAPP(c_Product__Type_OPair(_u20539, _u20540), _u20541), _u20542)), hAPP(hAPP(c_Product__Type_OPair(_u20539, _u20540), _u20543), _u20544))), c_Transitive__Closure_Ortrancl(tc_prod(_u20539, _u20540), _u20545))) | ~hBOOL(hAPP(hAPP(_u20546, _u20541), _u20542)) | hBOOL(hAPP(hAPP(_u20546, _u20543), _u20544)) | hBOOL(hAPP(hAPP(_u20546, skolem570(_u20546, _u20545, _u20544, _u20543, _u20542, _u20541, _u20540, _u20539)), skolem571(_u20546, _u20545, _u20544, _u20543, _u20542, _u20541, _u20540, _u20539))) )).
% 20.36/20.59 cnf(fact_rtrancl__induct2-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20539, _u20540), tc_prod(_u20539, _u20540))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20539, _u20540), tc_prod(_u20539, _u20540)), hAPP(hAPP(c_Product__Type_OPair(_u20539, _u20540), _u20541), _u20542)), hAPP(hAPP(c_Product__Type_OPair(_u20539, _u20540), _u20543), _u20544))), c_Transitive__Closure_Ortrancl(tc_prod(_u20539, _u20540), _u20545))) | ~hBOOL(hAPP(hAPP(_u20546, _u20541), _u20542)) | hBOOL(hAPP(hAPP(_u20546, _u20543), _u20544)) | ~hBOOL(hAPP(hAPP(_u20546, skolem572(_u20546, _u20545, _u20544, _u20543, _u20542, _u20541, _u20540, _u20539)), skolem573(_u20546, _u20545, _u20544, _u20543, _u20542, _u20541, _u20540, _u20539))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_converse__rtranclE2 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_converse__rtranclE2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20549, _u20550), tc_prod(_u20549, _u20550))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20549, _u20550), tc_prod(_u20549, _u20550)), hAPP(hAPP(c_Product__Type_OPair(_u20549, _u20550), _u20551), _u20552)), hAPP(hAPP(c_Product__Type_OPair(_u20549, _u20550), _u20553), _u20554))), c_Transitive__Closure_Ortrancl(tc_prod(_u20549, _u20550), _u20555))) | ( hAPP(hAPP(c_Product__Type_OPair(_u20549, _u20550), _u20551), _u20552) = hAPP(hAPP(c_Product__Type_OPair(_u20549, _u20550), _u20553), _u20554)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20549, _u20550), tc_prod(_u20549, _u20550))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20549, _u20550), tc_prod(_u20549, _u20550)), hAPP(hAPP(c_Product__Type_OPair(_u20549, _u20550), _u20551), _u20552)), hAPP(hAPP(c_Product__Type_OPair(_u20549, _u20550), skolem574(_u20555, _u20554, _u20553, _u20552, _u20551, _u20550, _u20549)), skolem575(_u20555, _u20554, _u20553, _u20552, _u20551, _u20550, _u20549)))), _u20555)) )).
% 20.36/20.59 cnf(fact_converse__rtranclE2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20549, _u20550), tc_prod(_u20549, _u20550))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20549, _u20550), tc_prod(_u20549, _u20550)), hAPP(hAPP(c_Product__Type_OPair(_u20549, _u20550), _u20551), _u20552)), hAPP(hAPP(c_Product__Type_OPair(_u20549, _u20550), _u20553), _u20554))), c_Transitive__Closure_Ortrancl(tc_prod(_u20549, _u20550), _u20555))) | ( hAPP(hAPP(c_Product__Type_OPair(_u20549, _u20550), _u20551), _u20552) = hAPP(hAPP(c_Product__Type_OPair(_u20549, _u20550), _u20553), _u20554)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20549, _u20550), tc_prod(_u20549, _u20550))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20549, _u20550), tc_prod(_u20549, _u20550)), hAPP(hAPP(c_Product__Type_OPair(_u20549, _u20550), skolem574(_u20555, _u20554, _u20553, _u20552, _u20551, _u20550, _u20549)), skolem575(_u20555, _u20554, _u20553, _u20552, _u20551, _u20550, _u20549))), hAPP(hAPP(c_Product__Type_OPair(_u20549, _u20550), _u20553), _u20554))), c_Transitive__Closure_Ortrancl(tc_prod(_u20549, _u20550), _u20555))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_converse__rtrancl__induct2 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_converse__rtrancl__induct2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20560, _u20561), tc_prod(_u20560, _u20561))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20560, _u20561), tc_prod(_u20560, _u20561)), hAPP(hAPP(c_Product__Type_OPair(_u20560, _u20561), _u20562), _u20563)), hAPP(hAPP(c_Product__Type_OPair(_u20560, _u20561), _u20564), _u20565))), c_Transitive__Closure_Ortrancl(tc_prod(_u20560, _u20561), _u20566))) | ~hBOOL(hAPP(hAPP(_u20567, _u20564), _u20565)) | hBOOL(hAPP(hAPP(_u20567, _u20562), _u20563)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20560, _u20561), tc_prod(_u20560, _u20561))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20560, _u20561), tc_prod(_u20560, _u20561)), hAPP(hAPP(c_Product__Type_OPair(_u20560, _u20561), skolem576(_u20567, _u20566, _u20565, _u20564, _u20563, _u20562, _u20561, _u20560)), skolem577(_u20567, _u20566, _u20565, _u20564, _u20563, _u20562, _u20561, _u20560))), hAPP(hAPP(c_Product__Type_OPair(_u20560, _u20561), skolem578(_u20567, _u20566, _u20565, _u20564, _u20563, _u20562, _u20561, _u20560)), skolem579(_u20567, _u20566, _u20565, _u20564, _u20563, _u20562, _u20561, _u20560)))), _u20566)) )).
% 20.36/20.59 cnf(fact_converse__rtrancl__induct2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20560, _u20561), tc_prod(_u20560, _u20561))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20560, _u20561), tc_prod(_u20560, _u20561)), hAPP(hAPP(c_Product__Type_OPair(_u20560, _u20561), _u20562), _u20563)), hAPP(hAPP(c_Product__Type_OPair(_u20560, _u20561), _u20564), _u20565))), c_Transitive__Closure_Ortrancl(tc_prod(_u20560, _u20561), _u20566))) | ~hBOOL(hAPP(hAPP(_u20567, _u20564), _u20565)) | hBOOL(hAPP(hAPP(_u20567, _u20562), _u20563)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20560, _u20561), tc_prod(_u20560, _u20561))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20560, _u20561), tc_prod(_u20560, _u20561)), hAPP(hAPP(c_Product__Type_OPair(_u20560, _u20561), skolem578(_u20567, _u20566, _u20565, _u20564, _u20563, _u20562, _u20561, _u20560)), skolem579(_u20567, _u20566, _u20565, _u20564, _u20563, _u20562, _u20561, _u20560))), hAPP(hAPP(c_Product__Type_OPair(_u20560, _u20561), _u20564), _u20565))), c_Transitive__Closure_Ortrancl(tc_prod(_u20560, _u20561), _u20566))) )).
% 20.36/20.59 cnf(fact_converse__rtrancl__induct2-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20560, _u20561), tc_prod(_u20560, _u20561))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20560, _u20561), tc_prod(_u20560, _u20561)), hAPP(hAPP(c_Product__Type_OPair(_u20560, _u20561), _u20562), _u20563)), hAPP(hAPP(c_Product__Type_OPair(_u20560, _u20561), _u20564), _u20565))), c_Transitive__Closure_Ortrancl(tc_prod(_u20560, _u20561), _u20566))) | ~hBOOL(hAPP(hAPP(_u20567, _u20564), _u20565)) | hBOOL(hAPP(hAPP(_u20567, _u20562), _u20563)) | hBOOL(hAPP(hAPP(_u20567, skolem578(_u20567, _u20566, _u20565, _u20564, _u20563, _u20562, _u20561, _u20560)), skolem579(_u20567, _u20566, _u20565, _u20564, _u20563, _u20562, _u20561, _u20560))) )).
% 20.36/20.59 cnf(fact_converse__rtrancl__induct2-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20560, _u20561), tc_prod(_u20560, _u20561))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20560, _u20561), tc_prod(_u20560, _u20561)), hAPP(hAPP(c_Product__Type_OPair(_u20560, _u20561), _u20562), _u20563)), hAPP(hAPP(c_Product__Type_OPair(_u20560, _u20561), _u20564), _u20565))), c_Transitive__Closure_Ortrancl(tc_prod(_u20560, _u20561), _u20566))) | ~hBOOL(hAPP(hAPP(_u20567, _u20564), _u20565)) | hBOOL(hAPP(hAPP(_u20567, _u20562), _u20563)) | ~hBOOL(hAPP(hAPP(_u20567, skolem576(_u20567, _u20566, _u20565, _u20564, _u20563, _u20562, _u20561, _u20560)), skolem577(_u20567, _u20566, _u20565, _u20564, _u20563, _u20562, _u20561, _u20560))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_congruent2I_H ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_congruent2I_H-1, axiom, ( c_Equiv__Relations_Ocongruent2(_u20572, _u20574, _u20577, _u20573, _u20575, _u20576) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20572, _u20572)), hAPP(hAPP(c_Product__Type_OPair(_u20572, _u20572), skolem580(_u20577, _u20576, _u20575, _u20574, _u20573, _u20572)), skolem581(_u20577, _u20576, _u20575, _u20574, _u20573, _u20572))), _u20573)) )).
% 20.36/20.59 cnf(fact_congruent2I_H-2, axiom, ( c_Equiv__Relations_Ocongruent2(_u20572, _u20574, _u20577, _u20573, _u20575, _u20576) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20574, _u20574)), hAPP(hAPP(c_Product__Type_OPair(_u20574, _u20574), skolem582(_u20577, _u20576, _u20575, _u20574, _u20573, _u20572)), skolem583(_u20577, _u20576, _u20575, _u20574, _u20573, _u20572))), _u20575)) )).
% 20.36/20.59 cnf(fact_congruent2I_H-3, axiom, ( c_Equiv__Relations_Ocongruent2(_u20572, _u20574, _u20577, _u20573, _u20575, _u20576) | ( hAPP(hAPP(_u20576, skolem580(_u20577, _u20576, _u20575, _u20574, _u20573, _u20572)), skolem582(_u20577, _u20576, _u20575, _u20574, _u20573, _u20572)) != hAPP(hAPP(_u20576, skolem581(_u20577, _u20576, _u20575, _u20574, _u20573, _u20572)), skolem583(_u20577, _u20576, _u20575, _u20574, _u20573, _u20572))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_congruentI ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_congruentI-1, axiom, ( c_Equiv__Relations_Ocongruent(_u20580, _u20583, _u20581, _u20582) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20580, _u20580)), hAPP(hAPP(c_Product__Type_OPair(_u20580, _u20580), skolem584(_u20583, _u20582, _u20581, _u20580)), skolem585(_u20583, _u20582, _u20581, _u20580))), _u20581)) )).
% 20.36/20.59 cnf(fact_congruentI-2, axiom, ( c_Equiv__Relations_Ocongruent(_u20580, _u20583, _u20581, _u20582) | ( hAPP(_u20582, skolem584(_u20583, _u20582, _u20581, _u20580)) != hAPP(_u20582, skolem585(_u20583, _u20582, _u20581, _u20580))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact__03 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact__03-1, axiom, ( ( c_Lazy__Sequence_Oflat(_u20584, c_Lazy__Sequence_Olazy__sequence_OInsert(tc_Lazy__Sequence_Olazy__sequence(_u20584), _u20585, _u20586)) = c_Lazy__Sequence_Oappend(_u20584, _u20585, c_Lazy__Sequence_Oflat(_u20584, _u20586))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_all__interval__nat__def ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_all__interval__nat__def-1, axiom, ( ~c_List_Oall__interval__nat(_u20592, _u20594, _u20596) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20587), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u20594), _u20596))) | hBOOL(hAPP(_u20592, _u20587)) )).
% 20.36/20.59 cnf(fact_all__interval__nat__def-2, axiom, ( c_List_Oall__interval__nat(_u20593, _u20595, _u20597) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem586(_u20597, _u20595, _u20593)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u20595), _u20597))) )).
% 20.36/20.59 cnf(fact_all__interval__nat__def-3, axiom, ( c_List_Oall__interval__nat(_u20593, _u20595, _u20597) | ~hBOOL(hAPP(_u20593, skolem586(_u20597, _u20595, _u20593))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact__04 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact__04-1, axiom, ( ( c_Lazy__Sequence_Oflat(_u20598, c_Lazy__Sequence_Olazy__sequence_OEmpty(tc_Lazy__Sequence_Olazy__sequence(_u20598))) = c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20598)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_list__all__iff__all__interval__nat ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_list__all__iff__all__interval__nat-1, axiom, ( ~c_List_Olist__all(tc_Nat_Onat, _u20602, c_List_Oupt(_u20604, _u20606)) | c_List_Oall__interval__nat(_u20602, _u20604, _u20606) )).
% 20.36/20.59 cnf(fact_list__all__iff__all__interval__nat-2, axiom, ( ~c_List_Oall__interval__nat(_u20603, _u20605, _u20607) | c_List_Olist__all(tc_Nat_Onat, _u20603, c_List_Oupt(_u20605, _u20607)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_list__ex__iff__not__all__inverval__nat ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_list__ex__iff__not__all__inverval__nat-1, axiom, ( ~c_List_Olist__ex(tc_Nat_Onat, _u20611, c_List_Oupt(_u20613, _u20615)) | ~c_List_Oall__interval__nat(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat, c_fNot), _u20611), _u20613, _u20615) )).
% 20.36/20.59 cnf(fact_list__ex__iff__not__all__inverval__nat-2, axiom, ( c_List_Oall__interval__nat(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat, c_fNot), _u20612), _u20614, _u20616) | c_List_Olist__ex(tc_Nat_Onat, _u20612, c_List_Oupt(_u20614, _u20616)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact__05 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact__05-1, axiom, ( ( hAPP(c_Lazy__Sequence_Obind(_u20617, _u20618, _u20619), _u20620) = c_Lazy__Sequence_Oflat(_u20618, c_Lazy__Sequence_Omap(_u20617, tc_Lazy__Sequence_Olazy__sequence(_u20618), _u20620, _u20619))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_folding__image_Ocong ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_folding__image_Ocong-1, axiom, ( ~c_Finite__Set_Ofolding__image(_u20622, _u20623, _u20624, _u20625, _u20626) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20623), _u20627)) | ( hAPP(hAPP(_u20626, _u20628), _u20627) = hAPP(hAPP(_u20626, _u20629), _u20627)) | hBOOL(hAPP(hAPP(c_member(_u20623), skolem587(_u20629, _u20628, _u20627, _u20626, _u20625, _u20624, _u20623)), _u20627)) )).
% 20.36/20.59 cnf(fact_folding__image_Ocong-2, axiom, ( ~c_Finite__Set_Ofolding__image(_u20622, _u20623, _u20624, _u20625, _u20626) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20623), _u20627)) | ( hAPP(hAPP(_u20626, _u20628), _u20627) = hAPP(hAPP(_u20626, _u20629), _u20627)) | ( hAPP(_u20628, skolem587(_u20629, _u20628, _u20627, _u20626, _u20625, _u20624, _u20623)) != hAPP(_u20629, skolem587(_u20629, _u20628, _u20627, _u20626, _u20625, _u20624, _u20623))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact__06 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact__06-1, axiom, ( ( c_Lazy__Sequence_Omap(_u20630, _u20631, _u20632, c_Lazy__Sequence_Olazy__sequence_OInsert(_u20630, _u20633, _u20634)) = c_Lazy__Sequence_Olazy__sequence_OInsert(_u20631, hAPP(_u20632, _u20633), c_Lazy__Sequence_Omap(_u20630, _u20631, _u20632, _u20634))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact__07 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact__07-1, axiom, ( ( c_Lazy__Sequence_Omap(_u20635, _u20636, _u20637, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20635)) = c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20636)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_New__DSequence_Opos__map__def ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_New__DSequence_Opos__map__def-1, axiom, ( ( c_New__DSequence_Opos__map(_u20638, _u20639, _u20640, _u20641, _u20642) = c_Lazy__Sequence_Omap(_u20638, _u20639, _u20640, hAPP(_u20641, _u20642))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_power__dvd__imp__le ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_power__dvd__imp__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u20643), _u20644)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u20643), _u20645))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u20643)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20644), _u20645)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvd_Oorder__refl ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_dvd_Oorder__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20646), _u20646)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvd__0__right ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_dvd__0__right-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20647) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20647), _u20648), c_Groups_Ozero__class_Ozero(_u20647))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvd__1__left ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_dvd__1__left-1, axiom, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u20649)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvd__mult__cancel ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_dvd__mult__cancel-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20650), _u20651)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20650), _u20652))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u20650)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20651), _u20652)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_nat__mult__dvd__cancel1 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_nat__mult__dvd__cancel1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u20653)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20653), _u20654)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20653), _u20655))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20654), _u20655)) )).
% 20.36/20.59 cnf(fact_nat__mult__dvd__cancel1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u20653)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20654), _u20655)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20653), _u20654)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20653), _u20655))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_setprod__dvd__setprod__subset ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_setprod__dvd__setprod__subset-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20656) | ~class_Rings_Odvd(_u20656) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20657), _u20658)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20657, tc_HOL_Obool)), _u20659), _u20658)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20656), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u20657, _u20656), _u20660), _u20659)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u20657, _u20656), _u20660), _u20658))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_inf__period_I4_J ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_inf__period_I4_J-1, axiom, ( ~class_Rings_Ocomm__ring(_u20663) | ~class_Rings_Odvd(_u20663) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20663), _u20664), _u20665)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20663), _u20664), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20663), _u20669), _u20666))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20663), _u20664), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20663), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u20663), _u20669), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20663), _u20667), _u20665))), _u20666))) )).
% 20.36/20.59 cnf(fact_inf__period_I4_J-2, axiom, ( ~class_Rings_Ocomm__ring(_u20663) | ~class_Rings_Odvd(_u20663) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20663), _u20664), _u20665)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20663), _u20664), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20663), _u20670), _u20666))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20663), _u20664), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20663), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u20663), _u20670), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20663), _u20668), _u20665))), _u20666))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_inf__period_I3_J ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_inf__period_I3_J-1, axiom, ( ~class_Rings_Ocomm__ring(_u20673) | ~class_Rings_Odvd(_u20673) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20673), _u20674), _u20675)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20673), _u20674), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20673), _u20679), _u20676))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20673), _u20674), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20673), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u20673), _u20679), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20673), _u20677), _u20675))), _u20676))) )).
% 20.36/20.59 cnf(fact_inf__period_I3_J-2, axiom, ( ~class_Rings_Ocomm__ring(_u20673) | ~class_Rings_Odvd(_u20673) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20673), _u20674), _u20675)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20673), _u20674), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20673), _u20680), _u20676))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20673), _u20674), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20673), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u20673), _u20680), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20673), _u20678), _u20675))), _u20676))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvd__div__div__eq__mult ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_dvd__div__div__eq__mult-1, axiom, ( ~class_Divides_Osemiring__div(_u20681) | ( _u20682 = c_Groups_Ozero__class_Ozero(_u20681)) | ( _u20683 = c_Groups_Ozero__class_Ozero(_u20681)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20681), _u20682), _u20684)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20681), _u20683), _u20685)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20681), _u20684), _u20682) != hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20681), _u20685), _u20683)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20681), _u20684), _u20683) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20681), _u20682), _u20685)) )).
% 20.36/20.59 cnf(fact_dvd__div__div__eq__mult-2, axiom, ( ~class_Divides_Osemiring__div(_u20681) | ( _u20682 = c_Groups_Ozero__class_Ozero(_u20681)) | ( _u20683 = c_Groups_Ozero__class_Ozero(_u20681)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20681), _u20682), _u20684)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20681), _u20683), _u20685)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20681), _u20684), _u20683) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20681), _u20682), _u20685)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20681), _u20684), _u20682) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20681), _u20685), _u20683)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvd__div__eq__mult ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_dvd__div__eq__mult-1, axiom, ( ~class_Divides_Osemiring__div(_u20686) | ( _u20687 = c_Groups_Ozero__class_Ozero(_u20686)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20686), _u20687), _u20688)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20686), _u20688), _u20687) != _u20689) | ( _u20688 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20686), _u20689), _u20687)) )).
% 20.36/20.59 cnf(fact_dvd__div__eq__mult-2, axiom, ( ~class_Divides_Osemiring__div(_u20686) | ( _u20687 = c_Groups_Ozero__class_Ozero(_u20686)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20686), _u20687), _u20688)) | ( _u20688 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20686), _u20689), _u20687)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20686), _u20688), _u20687) = _u20689) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_unity__coeff__ex ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_unity__coeff__ex-1, axiom, ( ~class_Rings_Odvd(_u20694) | ~class_Rings_Osemiring__0(_u20694) | ~hBOOL(hAPP(_u20695, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20694), _u20696), _u20690))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20694), _u20696), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20694), skolem588(_u20696, _u20695, _u20694)), c_Groups_Ozero__class_Ozero(_u20694)))) )).
% 20.36/20.59 cnf(fact_unity__coeff__ex-2, axiom, ( ~class_Rings_Odvd(_u20694) | ~class_Rings_Osemiring__0(_u20694) | ~hBOOL(hAPP(_u20695, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20694), _u20696), _u20690))) | hBOOL(hAPP(_u20695, skolem588(_u20696, _u20695, _u20694))) )).
% 20.36/20.59 cnf(fact_unity__coeff__ex-3, axiom, ( ~class_Rings_Odvd(_u20694) | ~class_Rings_Osemiring__0(_u20694) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20694), _u20696), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20694), _u20692), c_Groups_Ozero__class_Ozero(_u20694)))) | ~hBOOL(hAPP(_u20695, _u20692)) | hBOOL(hAPP(_u20695, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20694), _u20696), skolem589(_u20696, _u20695, _u20694)))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvd__mult__div__cancel ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_dvd__mult__div__cancel-1, axiom, ( ~class_Divides_Osemiring__div(_u20697) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20697), _u20698), _u20699)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20697), _u20698), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20697), _u20699), _u20698)) = _u20699) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_div__mult__swap ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_div__mult__swap-1, axiom, ( ~class_Divides_Osemiring__div(_u20700) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20700), _u20701), _u20702)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20700), _u20703), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20700), _u20702), _u20701)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20700), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20700), _u20703), _u20702)), _u20701)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvd__div__mult__self ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_dvd__div__mult__self-1, axiom, ( ~class_Divides_Osemiring__div(_u20704) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20704), _u20705), _u20706)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20704), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20704), _u20706), _u20705)), _u20705) = _u20706) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvd__div__mult ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_dvd__div__mult-1, axiom, ( ~class_Divides_Osemiring__div(_u20707) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20707), _u20708), _u20709)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20707), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20707), _u20709), _u20708)), _u20710) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20707), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20707), _u20709), _u20710)), _u20708)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_div__mult__div__if__dvd ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_div__mult__div__if__dvd-1, axiom, ( ~class_Divides_Osemiring__div(_u20711) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20711), _u20712), _u20713)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20711), _u20714), _u20715)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20711), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20711), _u20713), _u20712)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20711), _u20715), _u20714)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20711), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20711), _u20713), _u20715)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20711), _u20712), _u20714))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvd__mult__cancel__left ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_dvd__mult__cancel__left-1, axiom, ( ~class_Rings_Oidom(_u20716) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20716), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20716), _u20717), _u20718)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20716), _u20717), _u20719))) | ( _u20717 = c_Groups_Ozero__class_Ozero(_u20716)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20716), _u20718), _u20719)) )).
% 20.36/20.59 cnf(fact_dvd__mult__cancel__left-2, axiom, ( ~class_Rings_Oidom(_u20716) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20716), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20716), _u20717), _u20718)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20716), _u20717), _u20719))) | ( _u20717 != c_Groups_Ozero__class_Ozero(_u20716)) )).
% 20.36/20.59 cnf(fact_dvd__mult__cancel__left-3, axiom, ( ~class_Rings_Oidom(_u20716) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20716), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20716), _u20717), _u20718)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20716), _u20717), _u20719))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20716), _u20718), _u20719)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvd__mult__cancel__right ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_dvd__mult__cancel__right-1, axiom, ( ~class_Rings_Oidom(_u20720) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20720), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20720), _u20721), _u20722)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20720), _u20723), _u20722))) | ( _u20722 = c_Groups_Ozero__class_Ozero(_u20720)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20720), _u20721), _u20723)) )).
% 20.36/20.59 cnf(fact_dvd__mult__cancel__right-2, axiom, ( ~class_Rings_Oidom(_u20720) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20720), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20720), _u20721), _u20722)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20720), _u20723), _u20722))) | ( _u20722 != c_Groups_Ozero__class_Ozero(_u20720)) )).
% 20.36/20.59 cnf(fact_dvd__mult__cancel__right-3, axiom, ( ~class_Rings_Oidom(_u20720) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20720), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20720), _u20721), _u20722)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20720), _u20723), _u20722))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20720), _u20721), _u20723)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvd__triv__left ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_dvd__triv__left-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20724) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20724), _u20725), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20724), _u20725), _u20726))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvd__triv__right ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_dvd__triv__right-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20727) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20727), _u20728), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20727), _u20729), _u20728))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvd__mult2 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_dvd__mult2-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20730) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20730), _u20731), _u20732)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20730), _u20731), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20730), _u20732), _u20733))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvd__mult ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_dvd__mult-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20734) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20734), _u20735), _u20736)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20734), _u20735), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20734), _u20737), _u20736))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_mult__dvd__mono ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_mult__dvd__mono-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20738) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20738), _u20739), _u20740)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20738), _u20741), _u20742)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20738), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20738), _u20739), _u20741)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20738), _u20740), _u20742))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvdI ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_dvdI-1, axiom, ( ~class_Rings_Odvd(_u20743) | ( _u20744 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20743), _u20745), _u20746)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20743), _u20745), _u20744)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvd__mult__left ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_dvd__mult__left-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20747) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20747), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20747), _u20748), _u20749)), _u20750)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20747), _u20748), _u20750)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvd__mult__right ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_dvd__mult__right-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20751) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20751), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20751), _u20752), _u20753)), _u20754)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20751), _u20753), _u20754)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_nat__mult__dvd__cancel__disj ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_nat__mult__dvd__cancel__disj-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20758), _u20760)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20758), _u20762))) | ( _u20758 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20760), _u20762)) )).
% 20.36/20.59 cnf(fact_nat__mult__dvd__cancel__disj-2, axiom, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20759), _u20761)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20759), _u20763))) | ( _u20759 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.59 cnf(fact_nat__mult__dvd__cancel__disj-3, axiom, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20759), _u20761)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20759), _u20763))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20761), _u20763)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvd__setprod ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_dvd__setprod-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20764) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20765), _u20766)) | ~hBOOL(hAPP(hAPP(c_member(_u20765), _u20767), _u20766)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20764), hAPP(_u20768, _u20767)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u20765, _u20764), _u20768), _u20766))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvd_OatLeastAtMost__singleton__iff ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_dvd_OatLeastAtMost__singleton__iff-1, axiom, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20772, _u20774) != hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u20776), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u20772 = _u20774) )).
% 20.36/20.59 cnf(fact_dvd_OatLeastAtMost__singleton__iff-2, axiom, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20772, _u20774) != hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u20776), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u20774 = _u20776) )).
% 20.36/20.59 cnf(fact_dvd_OatLeastAtMost__singleton__iff-3, axiom, ( ( _u20773 != _u20775) | ( _u20775 != _u20777) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20773, _u20775) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u20777), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvd_OatLeastAtMost__singleton ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_dvd_OatLeastAtMost__singleton-1, axiom, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20778, _u20778) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u20778), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvd_OatLeastAtMost__singleton_H ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_dvd_OatLeastAtMost__singleton_H-1, axiom, ( ( _u20779 != _u20780) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20779, _u20780) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u20779), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvd_OatLeastatMost__empty__iff2 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_dvd_OatLeastatMost__empty__iff2-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) != c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20783, _u20785)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20783), _u20785)) )).
% 20.36/20.59 cnf(fact_dvd_OatLeastatMost__empty__iff2-2, axiom, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20784), _u20786)) | ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) = c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20784, _u20786)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvd_OatLeastatMost__empty__iff ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_dvd_OatLeastatMost__empty__iff-1, axiom, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20789, _u20791) != c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20789), _u20791)) )).
% 20.36/20.59 cnf(fact_dvd_OatLeastatMost__empty__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20790), _u20792)) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20790, _u20792) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvd_OatLeastatMost__empty ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_dvd_OatLeastatMost__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20793), _u20794)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20794), _u20793)) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20794, _u20793) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvd_OgreaterThanAtMost__empty ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_dvd_OgreaterThanAtMost__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20795), _u20796)) | ( c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20796, _u20795) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvd_OatLeastLessThan__empty ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_dvd_OatLeastLessThan__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20797), _u20798)) | ( c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20798, _u20797) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvd_OgreaterThanLessThan__empty ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_dvd_OgreaterThanLessThan__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20799), _u20800)) | ( c_SetInterval_Oord_OgreaterThanLessThan(tc_Nat_Onat, hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20800, _u20799) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvd_OgreaterThanAtMost__empty__iff ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_dvd_OgreaterThanAtMost__empty__iff-1, axiom, ( ( c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20803, _u20805) != c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20803), _u20805)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20805), _u20803)) )).
% 20.36/20.59 cnf(fact_dvd_OgreaterThanAtMost__empty__iff-2, axiom, ( ( c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20804, _u20806) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20804), _u20806)) )).
% 20.36/20.59 cnf(fact_dvd_OgreaterThanAtMost__empty__iff-3, axiom, ( ( c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20804, _u20806) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20806), _u20804)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvd_OatLeastLessThan__empty__iff ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_dvd_OatLeastLessThan__empty__iff-1, axiom, ( ( c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20809, _u20811) != c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20809), _u20811)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20811), _u20809)) )).
% 20.36/20.59 cnf(fact_dvd_OatLeastLessThan__empty__iff-2, axiom, ( ( c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20810, _u20812) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20810), _u20812)) )).
% 20.36/20.59 cnf(fact_dvd_OatLeastLessThan__empty__iff-3, axiom, ( ( c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20810, _u20812) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20812), _u20810)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvd_OgreaterThanAtMost__empty__iff2 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_dvd_OgreaterThanAtMost__empty__iff2-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) != c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20815, _u20817)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20815), _u20817)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20817), _u20815)) )).
% 20.36/20.59 cnf(fact_dvd_OgreaterThanAtMost__empty__iff2-2, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) = c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20816, _u20818)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20816), _u20818)) )).
% 20.36/20.59 cnf(fact_dvd_OgreaterThanAtMost__empty__iff2-3, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) = c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20816, _u20818)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20818), _u20816)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvd_OatLeastLessThan__empty__iff2 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_dvd_OatLeastLessThan__empty__iff2-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) != c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20821, _u20823)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20821), _u20823)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20823), _u20821)) )).
% 20.36/20.59 cnf(fact_dvd_OatLeastLessThan__empty__iff2-2, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) = c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20822, _u20824)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20822), _u20824)) )).
% 20.36/20.59 cnf(fact_dvd_OatLeastLessThan__empty__iff2-3, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) = c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20822, _u20824)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20824), _u20822)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvd__diff__nat ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_dvd__diff__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20825), _u20826)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20825), _u20827)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20825), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u20826), _u20827))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvd__diff ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_dvd__diff-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u20828) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20828), _u20829), _u20830)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20828), _u20829), _u20831)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20828), _u20829), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u20828), _u20830), _u20831))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvd__minus__iff ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_dvd__minus__iff-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u20832) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20832), _u20833), hAPP(c_Groups_Ouminus__class_Ouminus(_u20832), _u20834))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20832), _u20833), _u20834)) )).
% 20.36/20.59 cnf(fact_dvd__minus__iff-2, axiom, ( ~class_Rings_Ocomm__ring__1(_u20832) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20832), _u20833), _u20834)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20832), _u20833), hAPP(c_Groups_Ouminus__class_Ouminus(_u20832), _u20834))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_minus__dvd__iff ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_minus__dvd__iff-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u20835) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20835), hAPP(c_Groups_Ouminus__class_Ouminus(_u20835), _u20836)), _u20837)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20835), _u20836), _u20837)) )).
% 20.36/20.59 cnf(fact_minus__dvd__iff-2, axiom, ( ~class_Rings_Ocomm__ring__1(_u20835) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20835), _u20836), _u20837)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20835), hAPP(c_Groups_Ouminus__class_Ouminus(_u20835), _u20836)), _u20837)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvd__neg__div ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_dvd__neg__div-1, axiom, ( ~class_Divides_Oring__div(_u20838) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20838), _u20839), _u20840)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20838), hAPP(c_Groups_Ouminus__class_Ouminus(_u20838), _u20840)), _u20839) = hAPP(c_Groups_Ouminus__class_Ouminus(_u20838), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20838), _u20840), _u20839))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvd__div__neg ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_dvd__div__neg-1, axiom, ( ~class_Divides_Oring__div(_u20841) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20841), _u20842), _u20843)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20841), _u20843), hAPP(c_Groups_Ouminus__class_Ouminus(_u20841), _u20842)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u20841), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20841), _u20843), _u20842))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvd__eq__mod__eq__0 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_dvd__eq__mod__eq__0-1, axiom, ( ~class_Divides_Osemiring__div(_u20844) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20844), _u20845), _u20846)) | ( c_Divides_Odiv__class_Omod(_u20844, _u20846, _u20845) = c_Groups_Ozero__class_Ozero(_u20844)) )).
% 20.36/20.59 cnf(fact_dvd__eq__mod__eq__0-2, axiom, ( ~class_Divides_Osemiring__div(_u20844) | ( c_Divides_Odiv__class_Omod(_u20844, _u20846, _u20845) != c_Groups_Ozero__class_Ozero(_u20844)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20844), _u20845), _u20846)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvd__imp__mod__0 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_dvd__imp__mod__0-1, axiom, ( ~class_Divides_Osemiring__div(_u20847) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20847), _u20848), _u20849)) | ( c_Divides_Odiv__class_Omod(_u20847, _u20849, _u20848) = c_Groups_Ozero__class_Ozero(_u20847)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvd_OatLeastatMost__psubset__iff ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_dvd_OatLeastatMost__psubset__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20854, _u20856)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20858, _u20860))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20854), _u20856)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20858), _u20854)) )).
% 20.36/20.59 cnf(fact_dvd_OatLeastatMost__psubset__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20854, _u20856)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20858, _u20860))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20854), _u20856)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20856), _u20860)) )).
% 20.36/20.59 cnf(fact_dvd_OatLeastatMost__psubset__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20854, _u20856)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20858, _u20860))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20854), _u20856)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20858), _u20854)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20856), _u20860)) )).
% 20.36/20.59 cnf(fact_dvd_OatLeastatMost__psubset__iff-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20854, _u20856)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20858, _u20860))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20854), _u20856)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20858), _u20854)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20860), _u20856)) )).
% 20.36/20.59 cnf(fact_dvd_OatLeastatMost__psubset__iff-5, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20854, _u20856)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20858, _u20860))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20854), _u20856)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20854), _u20858)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20856), _u20860)) )).
% 20.36/20.59 cnf(fact_dvd_OatLeastatMost__psubset__iff-6, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20854, _u20856)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20858, _u20860))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20854), _u20856)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20854), _u20858)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20860), _u20856)) )).
% 20.36/20.59 cnf(fact_dvd_OatLeastatMost__psubset__iff-7, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20854, _u20856)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20858, _u20860))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20858), _u20860)) )).
% 20.36/20.59 cnf(fact_dvd_OatLeastatMost__psubset__iff-8, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20855, _u20857)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20859, _u20861))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20859), _u20861)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20855), _u20857)) )).
% 20.36/20.59 cnf(fact_dvd_OatLeastatMost__psubset__iff-9, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20855, _u20857)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20859, _u20861))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20859), _u20861)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20859), _u20855)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20857), _u20861)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20855), _u20859)) )).
% 20.36/20.59 cnf(fact_dvd_OatLeastatMost__psubset__iff-10, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20855, _u20857)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20859, _u20861))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20859), _u20861)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20859), _u20855)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20857), _u20861)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20861), _u20857)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvd__abs__iff ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_dvd__abs__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u20862) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20862), _u20863), hAPP(c_Groups_Oabs__class_Oabs(_u20862), _u20864))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20862), _u20863), _u20864)) )).
% 20.36/20.59 cnf(fact_dvd__abs__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u20862) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20862), _u20863), _u20864)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20862), _u20863), hAPP(c_Groups_Oabs__class_Oabs(_u20862), _u20864))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_abs__dvd__iff ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_abs__dvd__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u20865) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20865), hAPP(c_Groups_Oabs__class_Oabs(_u20865), _u20866)), _u20867)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20865), _u20866), _u20867)) )).
% 20.36/20.59 cnf(fact_abs__dvd__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u20865) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20865), _u20866), _u20867)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20865), hAPP(c_Groups_Oabs__class_Oabs(_u20865), _u20866)), _u20867)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvd__if__abs__eq ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_dvd__if__abs__eq-1, axiom, ( ~class_Rings_Olinordered__idom(_u20868) | ( hAPP(c_Groups_Oabs__class_Oabs(_u20868), _u20869) != hAPP(c_Groups_Oabs__class_Oabs(_u20868), _u20870)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20868), _u20869), _u20870)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvd__trans ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_dvd__trans-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20871) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20871), _u20872), _u20873)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20871), _u20873), _u20874)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20871), _u20872), _u20874)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvd__refl ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_dvd__refl-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20875) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20875), _u20876), _u20876)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvd_Oless__asym ( axiom ) converted to clauses:
% 20.36/20.59
% 20.36/20.59 % Formula: fact_dvd_Oless__trans ( axiom ) converted to clauses:
% 20.36/20.59 cnf(fact_dvd_Oless__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20879), _u20880)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20880), _u20879)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20880), _u20881)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20881), _u20880)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20879), _u20881)) )).
% 20.36/20.59 cnf(fact_dvd_Oless__trans-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20879), _u20880)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20880), _u20879)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20880), _u20881)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20881), _u20880)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20881), _u20879)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_HOL__Obool__Lattices_Obounded__lattice ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_HOL__Obool__Lattices_Obounded__lattice-1, axiom, ( class_Lattices_Obounded__lattice(tc_HOL_Obool) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_fun__Lattices_Obounded__lattice ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_fun__Lattices_Obounded__lattice-1, axiom, ( ~class_Lattices_Obounded__lattice(_u20882) | class_Lattices_Obounded__lattice(tc_fun(_u20883, _u20882)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_fun__Complete__Lattice_Ocomplete__lattice ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_fun__Complete__Lattice_Ocomplete__lattice-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20884) | class_Complete__Lattice_Ocomplete__lattice(tc_fun(_u20885, _u20884)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_fun__Lattices_Obounded__lattice__top ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_fun__Lattices_Obounded__lattice__top-1, axiom, ( ~class_Lattices_Obounded__lattice(_u20886) | class_Lattices_Obounded__lattice__top(tc_fun(_u20887, _u20886)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_fun__Lattices_Obounded__lattice__bot ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_fun__Lattices_Obounded__lattice__bot-1, axiom, ( ~class_Lattices_Obounded__lattice(_u20888) | class_Lattices_Obounded__lattice__bot(tc_fun(_u20889, _u20888)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_fun__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_fun__Lattices_Osemilattice__sup-1, axiom, ( ~class_Lattices_Olattice(_u20890) | class_Lattices_Osemilattice__sup(tc_fun(_u20891, _u20890)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_fun__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_fun__Lattices_Osemilattice__inf-1, axiom, ( ~class_Lattices_Olattice(_u20892) | class_Lattices_Osemilattice__inf(tc_fun(_u20893, _u20892)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_fun__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_fun__Lattices_Odistrib__lattice-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u20894) | class_Lattices_Odistrib__lattice(tc_fun(_u20895, _u20894)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_fun__Lattices_Oboolean__algebra ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_fun__Lattices_Oboolean__algebra-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u20896) | class_Lattices_Oboolean__algebra(tc_fun(_u20897, _u20896)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_fun__Orderings_Opreorder ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_fun__Orderings_Opreorder-1, axiom, ( ~class_Orderings_Opreorder(_u20898) | class_Orderings_Opreorder(tc_fun(_u20899, _u20898)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_fun__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_fun__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u20900) | ~class_Finite__Set_Ofinite(_u20901) | class_Finite__Set_Ofinite(tc_fun(_u20900, _u20901)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_fun__Lattices_Olattice ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_fun__Lattices_Olattice-1, axiom, ( ~class_Lattices_Olattice(_u20902) | class_Lattices_Olattice(tc_fun(_u20903, _u20902)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_fun__Orderings_Oorder ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_fun__Orderings_Oorder-1, axiom, ( ~class_Orderings_Oorder(_u20904) | class_Orderings_Oorder(tc_fun(_u20905, _u20904)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_fun__Orderings_Otop ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_fun__Orderings_Otop-1, axiom, ( ~class_Orderings_Otop(_u20906) | class_Orderings_Otop(tc_fun(_u20907, _u20906)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_fun__Orderings_Oord ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_fun__Orderings_Oord-1, axiom, ( ~class_Orderings_Oord(_u20908) | class_Orderings_Oord(tc_fun(_u20909, _u20908)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_fun__Orderings_Obot ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_fun__Orderings_Obot-1, axiom, ( ~class_Orderings_Obot(_u20910) | class_Orderings_Obot(tc_fun(_u20911, _u20910)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_fun__Groups_Ouminus ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_fun__Groups_Ouminus-1, axiom, ( ~class_Groups_Ouminus(_u20912) | class_Groups_Ouminus(tc_fun(_u20913, _u20912)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_fun__Groups_Ominus ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_fun__Groups_Ominus-1, axiom, ( ~class_Groups_Ominus(_u20914) | class_Groups_Ominus(tc_fun(_u20915, _u20914)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_fun__Enum_Oenum ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_fun__Enum_Oenum-1, axiom, ( ~class_Enum_Oenum(_u20916) | ~class_Enum_Oenum(_u20917) | class_Enum_Oenum(tc_fun(_u20916, _u20917)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Com__Ocom__Nat_Osize ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Com__Ocom__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Com_Ocom) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__1__strict ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Rings_Olinordered__semiring__1__strict-1, axiom, ( class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Groups_Olinordered__ab__semigroup__add ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add-1, axiom, ( class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Groups_Oordered__ab__group__add__abs ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Groups_Oordered__ab__group__add__abs-1, axiom, ( class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Groups_Olinordered__ab__group__add ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Groups_Olinordered__ab__group__add-1, axiom, ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Rings_Oring__1__no__zero__divisors ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Rings_Oring__1__no__zero__divisors-1, axiom, ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Rings_Olinordered__ring__strict ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Rings_Olinordered__ring__strict-1, axiom, ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Rings_Oring__no__zero__divisors ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Rings_Oring__no__zero__divisors-1, axiom, ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__1 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Rings_Olinordered__semiring__1-1, axiom, ( class_Rings_Olinordered__semiring__1(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Groups_Oordered__ab__group__add ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Groups_Oordered__ab__group__add-1, axiom, ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Lazy__Sequence_Osmall__lazy ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Lazy__Sequence_Osmall__lazy-1, axiom, ( class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Lattices_Osemilattice__sup-1, axiom, ( class_Lattices_Osemilattice__sup(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Lattices_Osemilattice__inf-1, axiom, ( class_Lattices_Osemilattice__inf(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Lattices_Odistrib__lattice-1, axiom, ( class_Lattices_Odistrib__lattice(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Rings_Oordered__ring__abs ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Rings_Oordered__ring__abs-1, axiom, ( class_Rings_Oordered__ring__abs(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Rings_Olinordered__ring ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Rings_Olinordered__ring-1, axiom, ( class_Rings_Olinordered__ring(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Rings_Olinordered__idom ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Rings_Olinordered__idom-1, axiom, ( class_Rings_Olinordered__idom(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Groups_Osemigroup__add ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Groups_Osemigroup__add-1, axiom, ( class_Groups_Osemigroup__add(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Divides_Osemiring__div ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Divides_Osemiring__div-1, axiom, ( class_Divides_Osemiring__div(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Nat_Osemiring__char__0 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Nat_Osemiring__char__0-1, axiom, ( class_Nat_Osemiring__char__0(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Groups_Oab__group__add ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Groups_Oab__group__add-1, axiom, ( class_Groups_Oab__group__add(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Rings_Oordered__ring ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Rings_Oordered__ring-1, axiom, ( class_Rings_Oordered__ring(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Orderings_Opreorder ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Orderings_Olinorder ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Rings_Ocomm__ring__1 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Rings_Ocomm__ring__1-1, axiom, ( class_Rings_Ocomm__ring__1(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Groups_Omonoid__add ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Rings_Osemiring__1 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Rings_Osemiring__1-1, axiom, ( class_Rings_Osemiring__1(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Lattices_Olattice ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Lattices_Olattice-1, axiom, ( class_Lattices_Olattice(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Groups_Ogroup__add ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Groups_Ogroup__add-1, axiom, ( class_Groups_Ogroup__add(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Divides_Oring__div ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Divides_Oring__div-1, axiom, ( class_Divides_Oring__div(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Rings_Omult__zero ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Rings_Ocomm__ring ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Rings_Ocomm__ring-1, axiom, ( class_Rings_Ocomm__ring(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Orderings_Oorder ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Int_Oring__char__0 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Int_Oring__char__0-1, axiom, ( class_Int_Oring__char__0(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Int_Onumber__ring ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Int_Onumber__ring-1, axiom, ( class_Int_Onumber__ring(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Rings_Osemiring ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Orderings_Oord ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Groups_Ouminus ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Groups_Ouminus-1, axiom, ( class_Groups_Ouminus(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Groups_Osgn__if ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Groups_Osgn__if-1, axiom, ( class_Groups_Osgn__if(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Groups_Oabs__if ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Groups_Oabs__if-1, axiom, ( class_Groups_Oabs__if(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Rings_Oring__1 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Rings_Oring__1-1, axiom, ( class_Rings_Oring__1(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Groups_Ominus ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Power_Opower ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Power_Opower-1, axiom, ( class_Power_Opower(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Groups_Ozero ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Rings_Oring ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Rings_Oring-1, axiom, ( class_Rings_Oring(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Rings_Oidom ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Rings_Oidom-1, axiom, ( class_Rings_Oidom(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Int_Onumber ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Int_Onumber-1, axiom, ( class_Int_Onumber(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Groups_Oone ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Int__Oint__Rings_Odvd ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Int__Oint__Rings_Odvd-1, axiom, ( class_Rings_Odvd(tc_Int_Oint) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add-1, axiom, ( class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Lattices_Osemilattice__sup-1, axiom, ( class_Lattices_Osemilattice__sup(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Lattices_Osemilattice__inf-1, axiom, ( class_Lattices_Osemilattice__inf(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Lattices_Odistrib__lattice-1, axiom, ( class_Lattices_Odistrib__lattice(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Groups_Osemigroup__add ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Groups_Osemigroup__add-1, axiom, ( class_Groups_Osemigroup__add(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Divides_Osemiring__div ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Divides_Osemiring__div-1, axiom, ( class_Divides_Osemiring__div(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Orderings_Owellorder ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Orderings_Owellorder-1, axiom, ( class_Orderings_Owellorder(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Nat_Osemiring__char__0 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Nat_Osemiring__char__0-1, axiom, ( class_Nat_Osemiring__char__0(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Orderings_Opreorder ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Orderings_Olinorder ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Groups_Omonoid__add ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Rings_Osemiring__1 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Rings_Osemiring__1-1, axiom, ( class_Rings_Osemiring__1(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Lattices_Olattice ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Lattices_Olattice-1, axiom, ( class_Lattices_Olattice(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Rings_Omult__zero ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Orderings_Oorder ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Rings_Osemiring ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Orderings_Oord ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Orderings_Obot ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Orderings_Obot-1, axiom, ( class_Orderings_Obot(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Groups_Ominus ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Power_Opower ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Power_Opower-1, axiom, ( class_Power_Opower(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Groups_Ozero ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Int_Onumber ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Int_Onumber-1, axiom, ( class_Int_Onumber(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Groups_Oone ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Rings_Odvd ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Rings_Odvd-1, axiom, ( class_Rings_Odvd(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nat__Onat__Nat_Osize ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nat__Onat__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Nat_Onat) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice-1, axiom, ( class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_HOL__Obool__Lattices_Obounded__lattice__top ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_HOL__Obool__Lattices_Obounded__lattice__top-1, axiom, ( class_Lattices_Obounded__lattice__top(tc_HOL_Obool) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_HOL__Obool__Lattices_Obounded__lattice__bot ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_HOL__Obool__Lattices_Obounded__lattice__bot-1, axiom, ( class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_HOL__Obool__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_HOL__Obool__Lattices_Osemilattice__sup-1, axiom, ( class_Lattices_Osemilattice__sup(tc_HOL_Obool) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_HOL__Obool__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_HOL__Obool__Lattices_Osemilattice__inf-1, axiom, ( class_Lattices_Osemilattice__inf(tc_HOL_Obool) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_HOL__Obool__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_HOL__Obool__Lattices_Odistrib__lattice-1, axiom, ( class_Lattices_Odistrib__lattice(tc_HOL_Obool) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_HOL__Obool__Lattices_Oboolean__algebra ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_HOL__Obool__Lattices_Oboolean__algebra-1, axiom, ( class_Lattices_Oboolean__algebra(tc_HOL_Obool) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_HOL__Obool__Orderings_Opreorder ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_HOL__Obool__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_HOL_Obool) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_HOL__Obool__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_HOL__Obool__Finite__Set_Ofinite-1, axiom, ( class_Finite__Set_Ofinite(tc_HOL_Obool) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_HOL__Obool__Lattices_Olattice ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_HOL__Obool__Lattices_Olattice-1, axiom, ( class_Lattices_Olattice(tc_HOL_Obool) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_HOL__Obool__Orderings_Oorder ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_HOL__Obool__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_HOL_Obool) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_HOL__Obool__Orderings_Otop ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_HOL__Obool__Orderings_Otop-1, axiom, ( class_Orderings_Otop(tc_HOL_Obool) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_HOL__Obool__Orderings_Oord ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_HOL__Obool__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_HOL_Obool) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_HOL__Obool__Orderings_Obot ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_HOL__Obool__Orderings_Obot-1, axiom, ( class_Orderings_Obot(tc_HOL_Obool) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_HOL__Obool__Groups_Ouminus ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_HOL__Obool__Groups_Ouminus-1, axiom, ( class_Groups_Ouminus(tc_HOL_Obool) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_HOL__Obool__Groups_Ominus ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_HOL__Obool__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_HOL_Obool) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_HOL__Obool__Enum_Oenum ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_HOL__Obool__Enum_Oenum-1, axiom, ( class_Enum_Oenum(tc_HOL_Obool) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_HOL__Obool__Nat_Osize ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_HOL__Obool__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_HOL_Obool) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Com__Ostate__Nat_Osize ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Com__Ostate__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Com_Ostate) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_List__Olist__Lazy__Sequence_Osmall__lazy ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_List__Olist__Lazy__Sequence_Osmall__lazy-1, axiom, ( ~class_Lazy__Sequence_Osmall__lazy(_u20918) | class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(_u20918)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_List__Olist__Nat_Osize ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_List__Olist__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_List_Olist(_u20919)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_sum__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_sum__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u20920) | ~class_Finite__Set_Ofinite(_u20921) | class_Finite__Set_Ofinite(tc_sum(_u20920, _u20921)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_sum__Enum_Oenum ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_sum__Enum_Oenum-1, axiom, ( ~class_Enum_Oenum(_u20922) | ~class_Enum_Oenum(_u20923) | class_Enum_Oenum(tc_sum(_u20922, _u20923)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_sum__Nat_Osize ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_sum__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_sum(_u20924, _u20925)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Option__Ooption__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Option__Ooption__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u20926) | class_Finite__Set_Ofinite(tc_Option_Ooption(_u20926)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Option__Ooption__Enum_Oenum ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Option__Ooption__Enum_Oenum-1, axiom, ( ~class_Enum_Oenum(_u20927) | class_Enum_Oenum(tc_Option_Ooption(_u20927)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Option__Ooption__Nat_Osize ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Option__Ooption__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Option_Ooption(_u20928)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Nitpick__Opair____box__Nat_Osize ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Nitpick__Opair____box__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Nitpick_Opair__box(_u20929, _u20930)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_prod__Lazy__Sequence_Osmall__lazy ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_prod__Lazy__Sequence_Osmall__lazy-1, axiom, ( ~class_Lazy__Sequence_Osmall__lazy(_u20931) | ~class_Lazy__Sequence_Osmall__lazy(_u20932) | class_Lazy__Sequence_Osmall__lazy(tc_prod(_u20931, _u20932)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_prod__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_prod__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u20933) | ~class_Finite__Set_Ofinite(_u20934) | class_Finite__Set_Ofinite(tc_prod(_u20933, _u20934)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_prod__Enum_Oenum ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_prod__Enum_Oenum-1, axiom, ( ~class_Enum_Oenum(_u20935) | ~class_Enum_Oenum(_u20936) | class_Enum_Oenum(tc_prod(_u20935, _u20936)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_prod__Nat_Osize ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_prod__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_prod(_u20937, _u20938)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy-1, axiom, ( class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Product____Type__Ounit__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Product____Type__Ounit__Finite__Set_Ofinite-1, axiom, ( class_Finite__Set_Ofinite(tc_Product__Type_Ounit) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Product____Type__Ounit__Enum_Oenum ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Product____Type__Ounit__Enum_Oenum-1, axiom, ( class_Enum_Oenum(tc_Product__Type_Ounit) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Product____Type__Ounit__Nat_Osize ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Product____Type__Ounit__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Product__Type_Ounit) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Code____Evaluation__Oterm__Nat_Osize ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Code____Evaluation__Oterm__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Code__Evaluation_Oterm) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Hoare____Mirabelle__Otriple__Nat_Osize ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Hoare____Mirabelle__Otriple__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(_u20939)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 20.36/20.59 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) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 20.36/20.59 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) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add-1, axiom, ( class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add-1, axiom, ( class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div-1, axiom, ( class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0-1, axiom, ( class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1-1, axiom, ( class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Oorder ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Osemiring ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Oord ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ominus ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Code____Numeral__Ocode____numeral__Power_Opower ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Code____Numeral__Ocode____numeral__Power_Opower-1, axiom, ( class_Power_Opower(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ozero ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Code____Numeral__Ocode____numeral__Int_Onumber ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Code____Numeral__Ocode____numeral__Int_Onumber-1, axiom, ( class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oone ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Odvd ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Odvd-1, axiom, ( class_Rings_Odvd(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Code____Numeral__Ocode____numeral__Nat_Osize ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Code____Numeral__Ocode____numeral__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.59
% 20.36/20.59 % Formula: arity_Lazy____Sequence__Olazy____sequence__Nat_Osize ( axiom ) converted to clauses:
% 20.36/20.59 cnf(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20940)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: help_c__COMBI__1 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(help_c__COMBI__1-1, axiom, ( ( hAPP(c_COMBI(_u20941), _u20942) = _u20942) )).
% 20.36/20.59
% 20.36/20.59 % Formula: help_c__COMBK__1 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(help_c__COMBK__1-1, axiom, ( ( hAPP(hAPP(c_COMBK(_u20943, _u20944), _u20945), _u20946) = _u20945) )).
% 20.36/20.59
% 20.36/20.59 % Formula: help_c__COMBB__1 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(help_c__COMBB__1-1, axiom, ( ( hAPP(hAPP(hAPP(c_COMBB(_u20947, _u20948, _u20949), _u20950), _u20951), _u20952) = hAPP(_u20950, hAPP(_u20951, _u20952))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: help_c__COMBC__1 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(help_c__COMBC__1-1, axiom, ( ( hAPP(hAPP(hAPP(c_COMBC(_u20953, _u20954, _u20955), _u20956), _u20957), _u20958) = hAPP(hAPP(_u20956, _u20958), _u20957)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: help_c__COMBS__1 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(help_c__COMBS__1-1, axiom, ( ( hAPP(hAPP(hAPP(c_COMBS(_u20959, _u20960, _u20961), _u20962), _u20963), _u20964) = hAPP(hAPP(_u20962, _u20964), hAPP(_u20963, _u20964))) )).
% 20.36/20.59
% 20.36/20.59 % Formula: help_c__fequal__1 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(help_c__fequal__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_fequal, _u20965), _u20966)) | ( _u20965 = _u20966) )).
% 20.36/20.59
% 20.36/20.59 % Formula: help_c__fequal__2 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(help_c__fequal__2-1, axiom, ( ( _u20967 != _u20968) | hBOOL(hAPP(hAPP(c_fequal, _u20967), _u20968)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: help_c__fFalse__1 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(help_c__fFalse__1-1, axiom, ( ~hBOOL(c_fFalse) )).
% 20.36/20.59
% 20.36/20.59 % Formula: help_c__fTrue__1 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(help_c__fTrue__1-1, axiom, ( hBOOL(c_fTrue) )).
% 20.36/20.59
% 20.36/20.59 % Formula: help_c__fNot__1 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(help_c__fNot__1-1, axiom, ( ~hBOOL(hAPP(c_fNot, _u20969)) | ~hBOOL(_u20969) )).
% 20.36/20.59
% 20.36/20.59 % Formula: help_c__fNot__2 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(help_c__fNot__2-1, axiom, ( hBOOL(_u20970) | hBOOL(hAPP(c_fNot, _u20970)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: help_c__fconj__1 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(help_c__fconj__1-1, axiom, ( ~hBOOL(_u20972) | ~hBOOL(_u20971) | hBOOL(hAPP(hAPP(c_fconj, _u20971), _u20972)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: help_c__fconj__2 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(help_c__fconj__2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_fconj, _u20973), _u20974)) | hBOOL(_u20973) )).
% 20.36/20.59
% 20.36/20.59 % Formula: help_c__fconj__3 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(help_c__fconj__3-1, axiom, ( hBOOL(_u20976) | ~hBOOL(hAPP(hAPP(c_fconj, _u20975), _u20976)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: help_c__fdisj__1 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(help_c__fdisj__1-1, axiom, ( ~hBOOL(_u20977) | hBOOL(hAPP(hAPP(c_fdisj, _u20977), _u20978)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: help_c__fdisj__2 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(help_c__fdisj__2-1, axiom, ( ~hBOOL(_u20979) | hBOOL(hAPP(hAPP(c_fdisj, _u20980), _u20979)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: help_c__fdisj__3 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(help_c__fdisj__3-1, axiom, ( hBOOL(_u20982) | ~hBOOL(hAPP(hAPP(c_fdisj, _u20981), _u20982)) | hBOOL(_u20981) )).
% 20.36/20.59
% 20.36/20.59 % Formula: help_c__fimplies__1 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(help_c__fimplies__1-1, axiom, ( hBOOL(_u20983) | hBOOL(hAPP(hAPP(c_fimplies, _u20983), _u20984)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: help_c__fimplies__2 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(help_c__fimplies__2-1, axiom, ( ~hBOOL(_u20985) | hBOOL(hAPP(hAPP(c_fimplies, _u20986), _u20985)) )).
% 20.36/20.59
% 20.36/20.59 % Formula: help_c__fimplies__3 ( axiom ) converted to clauses:
% 20.36/20.59 cnf(help_c__fimplies__3-1, axiom, ( hBOOL(_u20988) | ~hBOOL(hAPP(hAPP(c_fimplies, _u20987), _u20988)) | ~hBOOL(_u20987) )).
% 20.36/20.59
% 20.36/20.59 % Formula: conj_0 ( conjecture ) converted to clauses:
% 20.36/20.59 cnf(conj_0-1, negated_conjecture, ( v_P(skolem590, skolem591) )).
% 20.36/20.59 cnf(conj_0-2, negated_conjecture, ( ~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), _u20992), v_c), _u20991)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))) )).
% 20.36/20.59
% 20.36/20.59 % Problem matrix:
% 20.36/20.59 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 20.36/20.59 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 20.36/20.59 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 20.36/20.59 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP(__eqx_0, __eqx_1) = hAPP(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Hoare__Mirabelle_Otriple(__eqx_0) = tc_Hoare__Mirabelle_Otriple(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_fun(__eqx_0, __eqx_1) = tc_fun(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Obot__class_Obot(__eqx_0) = c_Orderings_Obot__class_Obot(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( c_Hoare__Mirabelle_Otriple_Otriple(__eqx_0) = c_Hoare__Mirabelle_Otriple_Otriple(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_Oinsert(__eqx_0) = c_Set_Oinsert(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-9, 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)) )).
% 20.36/20.59 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__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Hoare__Mirabelle_Otriple_Otriple__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-11, 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)) )).
% 20.36/20.59 cnf(matrix-12, 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)) )).
% 20.36/20.59 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Oless__eq(__eqx_0) = c_Orderings_Oord__class_Oless__eq(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( c_member(__eqx_0) = c_member(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-15, 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)) )).
% 20.36/20.59 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lattices_Osemilattice__sup__class_Osup(__eqx_0) = c_Lattices_Osemilattice__sup__class_Osup(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-17, 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)) )).
% 20.36/20.59 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( c_Finite__Set_Ofinite(__eqx_0) = c_Finite__Set_Ofinite(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Ominus__class_Ominus(__eqx_0) = c_Groups_Ominus__class_Ominus(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Predicate_OPowp(__eqx_0, __eqx_1) = c_Predicate_OPowp(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-21, 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)) )).
% 20.36/20.59 cnf(matrix-22, 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)) )).
% 20.36/20.59 cnf(matrix-23, 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)) )).
% 20.36/20.59 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Otimes__class_Otimes(__eqx_0) = c_Groups_Otimes__class_Otimes(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lattices_Osemilattice__inf__class_Oinf(__eqx_0) = c_Lattices_Osemilattice__inf__class_Oinf(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Oless(__eqx_0) = c_Orderings_Oord__class_Oless(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-27, 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)) )).
% 20.36/20.59 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Oplus__class_Oplus(__eqx_0) = c_Groups_Oplus__class_Oplus(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-29, 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)) )).
% 20.36/20.59 cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ( c_Finite__Set_Ocard(__eqx_0) = c_Finite__Set_Ocard(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-31, 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)) )).
% 20.36/20.59 cnf(matrix-32, 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)) )).
% 20.36/20.59 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Omin(__eqx_0) = c_Orderings_Oord__class_Omin(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-34, 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)) )).
% 20.36/20.59 cnf(matrix-35, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Oone__class_Oone(__eqx_0) = c_Groups_Oone__class_Oone(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-36, 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)) )).
% 20.36/20.59 cnf(matrix-37, 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)) )).
% 20.36/20.59 cnf(matrix-38, 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)) )).
% 20.36/20.59 cnf(matrix-39, 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)) )).
% 20.36/20.59 cnf(matrix-40, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Ozero__class_Ozero(__eqx_0) = c_Groups_Ozero__class_Ozero(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-41, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_sum(__eqx_0, __eqx_1) = tc_sum(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-42, 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)) )).
% 20.36/20.59 cnf(matrix-43, 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)) )).
% 20.36/20.59 cnf(matrix-44, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Osize__class_Osize(__eqx_0) = c_Nat_Osize__class_Osize(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-45, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oring__1__class_OInts(__eqx_0) = c_Int_Oring__1__class_OInts(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-46, plain, ( ( __eqx_0 != __eqy_0) | ( c_Com_Ocom_Ocom__size(__eqx_0) = c_Com_Ocom_Ocom__size(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-47, plain, ( ( __eqx_0 != __eqy_0) | ( c_Rings_Oinverse__class_Odivide(__eqx_0) = c_Rings_Oinverse__class_Odivide(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-48, 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)) )).
% 20.36/20.59 cnf(matrix-49, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Onumber__class_Onumber__of(__eqx_0) = c_Int_Onumber__class_Onumber__of(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-50, 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)) )).
% 20.36/20.59 cnf(matrix-51, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Osucc(__eqx_0) = c_Int_Osucc(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-52, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Osemiring__1__class_Oof__nat(__eqx_0) = c_Nat_Osemiring__1__class_Oof__nat(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-53, 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)) )).
% 20.36/20.59 cnf(matrix-54, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Opred(__eqx_0) = c_Int_Opred(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-55, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Osemiring__1__class_ONats(__eqx_0) = c_Nat_Osemiring__1__class_ONats(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-56, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Oabs__class_Oabs(__eqx_0) = c_Groups_Oabs__class_Oabs(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-57, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_OBit1(__eqx_0) = c_Int_OBit1(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-58, 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)) )).
% 20.36/20.59 cnf(matrix-59, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_OBit0(__eqx_0) = c_Int_OBit0(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-60, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Ouminus__class_Ouminus(__eqx_0) = c_Groups_Ouminus__class_Ouminus(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-61, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_SMT_Oz3mod(__eqx_0, __eqx_1) = c_SMT_Oz3mod(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-62, plain, ( ( __eqx_0 != __eqy_0) | ( c_Divides_Odiv__class_Odiv(__eqx_0) = c_Divides_Odiv__class_Odiv(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-63, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_SMT_Oz3div(__eqx_0, __eqx_1) = c_SMT_Oz3div(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-64, 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)) )).
% 20.36/20.59 cnf(matrix-65, 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)) )).
% 20.36/20.59 cnf(matrix-66, plain, ( ( __eqx_0 != __eqy_0) | ( c_Power_Opower__class_Opower(__eqx_0) = c_Power_Opower__class_Opower(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-67, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_OPow(__eqx_0) = c_Set_OPow(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-68, 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)) )).
% 20.36/20.59 cnf(matrix-69, 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)) )).
% 20.36/20.59 cnf(matrix-70, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oring__1__class_Oof__int(__eqx_0) = c_Int_Oring__1__class_Oof__int(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-71, 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)) )).
% 20.36/20.59 cnf(matrix-72, 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)) )).
% 20.36/20.59 cnf(matrix-73, 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)) )).
% 20.36/20.59 cnf(matrix-74, plain, ( ( __eqx_0 != __eqy_0) | ( c_Code__Numeral_OSuc__code__numeral(__eqx_0) = c_Code__Numeral_OSuc__code__numeral(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-75, 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)) )).
% 20.36/20.59 cnf(matrix-76, 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)) )).
% 20.36/20.59 cnf(matrix-77, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Otop__class_Otop(__eqx_0) = c_Orderings_Otop__class_Otop(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-78, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Option_Ooption(__eqx_0) = tc_Option_Ooption(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-79, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_prod(__eqx_0, __eqx_1) = tc_prod(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-80, 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)) )).
% 20.36/20.59 cnf(matrix-81, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Random_Olog(__eqx_0, __eqx_1) = c_Random_Olog(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-82, 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)) )).
% 20.36/20.59 cnf(matrix-83, 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)) )).
% 20.36/20.59 cnf(matrix-84, 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)) )).
% 20.36/20.59 cnf(matrix-85, 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)) )).
% 20.36/20.59 cnf(matrix-86, 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)) )).
% 20.36/20.59 cnf(matrix-87, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_OnegDivAlg(__eqx_0, __eqx_1) = c_Divides_OnegDivAlg(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-88, 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)) )).
% 20.36/20.59 cnf(matrix-89, plain, ( ( __eqx_0 != __eqy_0) | ( c_Divides_Oadjust(__eqx_0) = c_Divides_Oadjust(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-90, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_OposDivAlg(__eqx_0, __eqx_1) = c_Divides_OposDivAlg(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-91, 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)) )).
% 20.36/20.59 cnf(matrix-92, 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)) )).
% 20.36/20.59 cnf(matrix-93, 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)) )).
% 20.36/20.59 cnf(matrix-94, 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)) )).
% 20.36/20.59 cnf(matrix-95, 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)) )).
% 20.36/20.59 cnf(matrix-96, 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)) )).
% 20.36/20.59 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__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)) )).
% 20.36/20.59 cnf(matrix-98, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Wellfounded_Oaccp(__eqx_0, __eqx_1) = c_Wellfounded_Oaccp(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-99, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_Opdivmod(__eqx_0, __eqx_1) = c_Divides_Opdivmod(__eqy_0, __eqy_1)) )).
% 20.36/20.59 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)) )).
% 20.36/20.59 cnf(matrix-101, plain, ( ( __eqx_0 != __eqy_0) | ( c_If(__eqx_0) = c_If(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-102, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Onat_Onat__size(__eqx_0) = c_Nat_Onat_Onat__size(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-103, plain, ( ( __eqx_0 != __eqy_0) | ( c_Wellfounded_Omeasure(__eqx_0) = c_Wellfounded_Omeasure(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-104, 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)) )).
% 20.36/20.59 cnf(matrix-105, 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)) )).
% 20.36/20.59 cnf(matrix-106, 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)) )).
% 20.36/20.59 cnf(matrix-107, 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)) )).
% 20.36/20.59 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__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)) )).
% 20.36/20.59 cnf(matrix-109, 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)) )).
% 20.36/20.59 cnf(matrix-110, plain, ( ( __eqx_0 != __eqy_0) | ( c_Random_Orange(__eqx_0) = c_Random_Orange(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-111, 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)) )).
% 20.36/20.59 cnf(matrix-112, plain, ( ( __eqx_0 != __eqy_0) | ( c_Wellfounded_Ofinite__psubset(__eqx_0) = c_Wellfounded_Ofinite__psubset(__eqy_0)) )).
% 20.36/20.59 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)) )).
% 20.36/20.59 cnf(matrix-114, 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)) )).
% 20.36/20.59 cnf(matrix-115, 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)) )).
% 20.36/20.59 cnf(matrix-116, 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)) )).
% 20.36/20.59 cnf(matrix-117, 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)) )).
% 20.36/20.59 cnf(matrix-118, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Ozero__frac(__eqx_0) = c_Nitpick_Ozero__frac(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-119, 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)) )).
% 20.36/20.59 cnf(matrix-120, 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)) )).
% 20.36/20.59 cnf(matrix-121, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_HOL_OLet(__eqx_0, __eqx_1) = c_HOL_OLet(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-122, 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)) )).
% 20.36/20.59 cnf(matrix-123, 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)) )).
% 20.36/20.59 cnf(matrix-124, 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)) )).
% 20.36/20.59 cnf(matrix-125, plain, ( ( __eqx_0 != __eqy_0) | ( c_COMBI(__eqx_0) = c_COMBI(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-126, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_COMBK(__eqx_0, __eqx_1) = c_COMBK(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-127, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Oone__frac(__eqx_0) = c_Nitpick_Oone__frac(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-128, 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)) )).
% 20.36/20.59 cnf(matrix-129, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Onorm__frac(__eqx_0, __eqx_1) = c_Nitpick_Onorm__frac(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-130, 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)) )).
% 20.36/20.59 cnf(matrix-131, 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)) )).
% 20.36/20.59 cnf(matrix-132, 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)) )).
% 20.36/20.59 cnf(matrix-133, 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)) )).
% 20.36/20.59 cnf(matrix-134, 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)) )).
% 20.36/20.59 cnf(matrix-135, 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)) )).
% 20.36/20.59 cnf(matrix-136, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Ofrac(__eqx_0) = c_Nitpick_Ofrac(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-137, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OlessThan(__eqx_0) = c_SetInterval_Oord__class_OlessThan(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-138, plain, ( ( __eqx_0 != __eqy_0) | ( c_Relation_OField(__eqx_0) = c_Relation_OField(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-139, 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)) )).
% 20.36/20.59 cnf(matrix-140, 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)) )).
% 20.36/20.59 cnf(matrix-141, 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)) )).
% 20.36/20.59 cnf(matrix-142, 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)) )).
% 20.36/20.59 cnf(matrix-143, 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)) )).
% 20.36/20.59 cnf(matrix-144, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_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)) )).
% 20.36/20.59 cnf(matrix-145, 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)) )).
% 20.36/20.59 cnf(matrix-146, 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)) )).
% 20.36/20.59 cnf(matrix-147, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Omax(__eqx_0) = c_Orderings_Oord__class_Omax(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-148, 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)) )).
% 20.36/20.59 cnf(matrix-149, 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)) )).
% 20.36/20.59 cnf(matrix-150, 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)) )).
% 20.36/20.59 cnf(matrix-151, 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)) )).
% 20.36/20.59 cnf(matrix-152, 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)) )).
% 20.36/20.59 cnf(matrix-153, 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)) )).
% 20.36/20.59 cnf(matrix-154, 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)) )).
% 20.36/20.59 cnf(matrix-155, 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)) )).
% 20.36/20.59 cnf(matrix-156, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OatMost(__eqx_0) = c_SetInterval_Oord__class_OatMost(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-157, 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)) )).
% 20.36/20.59 cnf(matrix-158, plain, ( ( __eqx_0 != __eqy_0) | ( c_Equiv__Relations_Oquotient(__eqx_0) = c_Equiv__Relations_Oquotient(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-159, 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)) )).
% 20.36/20.59 cnf(matrix-160, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_HOL_OThe(__eqx_0, __eqx_1) = c_HOL_OThe(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-161, 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)) )).
% 20.36/20.59 cnf(matrix-162, 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)) )).
% 20.36/20.59 cnf(matrix-163, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OatLeast(__eqx_0) = c_SetInterval_Oord__class_OatLeast(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-164, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OgreaterThan(__eqx_0) = c_SetInterval_Oord__class_OgreaterThan(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-165, 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)) )).
% 20.36/20.59 cnf(matrix-166, 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)) )).
% 20.36/20.59 cnf(matrix-167, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Wellfounded_Oacc(__eqx_0, __eqx_1) = c_Wellfounded_Oacc(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-168, 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)) )).
% 20.36/20.59 cnf(matrix-169, 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)) )).
% 20.36/20.59 cnf(matrix-170, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_OCollect(__eqx_0) = c_Set_OCollect(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-171, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_OEx(__eqx_0) = c_HOL_OEx(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-172, 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)) )).
% 20.36/20.59 cnf(matrix-173, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oint__ge__less__than(__eqx_0) = c_Int_Oint__ge__less__than(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-174, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oint__ge__less__than2(__eqx_0) = c_Int_Oint__ge__less__than2(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-175, plain, ( ( __eqx_0 != __eqy_0) | ( c_Fun_Oid(__eqx_0) = c_Fun_Oid(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-176, 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)) )).
% 20.36/20.59 cnf(matrix-177, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_ORange(__eqx_0, __eqx_1) = c_Relation_ORange(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-178, 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)) )).
% 20.36/20.59 cnf(matrix-179, 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)) )).
% 20.36/20.59 cnf(matrix-180, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_ODomain(__eqx_0, __eqx_1) = c_Relation_ODomain(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-181, 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)) )).
% 20.36/20.59 cnf(matrix-182, plain, ( ( __eqx_0 != __eqy_0) | ( tc_List_Olist(__eqx_0) = tc_List_Olist(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-183, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olenlex(__eqx_0, __eqx_1) = c_List_Olenlex(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-184, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olex(__eqx_0, __eqx_1) = c_List_Olex(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-185, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olexn(__eqx_0, __eqx_1) = c_List_Olexn(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-186, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_OBall(__eqx_0) = c_Set_OBall(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-187, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_OAll(__eqx_0) = c_HOL_OAll(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-188, 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)) )).
% 20.36/20.59 cnf(matrix-189, 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)) )).
% 20.36/20.59 cnf(matrix-190, 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)) )).
% 20.36/20.59 cnf(matrix-191, 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)) )).
% 20.36/20.59 cnf(matrix-192, 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)) )).
% 20.36/20.59 cnf(matrix-193, 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)) )).
% 20.36/20.59 cnf(matrix-194, 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)) )).
% 20.36/20.59 cnf(matrix-195, plain, ( ( __eqx_0 != __eqy_0) | ( c_Relation_OId(__eqx_0) = c_Relation_OId(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-196, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_Oconverse(__eqx_0, __eqx_1) = c_Relation_Oconverse(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-197, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nat_Ocompow(__eqx_0, __eqx_1) = c_Nat_Ocompow(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-198, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Ofunpow(__eqx_0) = c_Nat_Ofunpow(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-199, 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)) )).
% 20.36/20.59 cnf(matrix-200, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Odenom(__eqx_0) = c_Nitpick_Odenom(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-201, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Onum(__eqx_0) = c_Nitpick_Onum(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-202, 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)) )).
% 20.36/20.59 cnf(matrix-203, 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)) )).
% 20.36/20.59 cnf(matrix-204, 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)) )).
% 20.36/20.59 cnf(matrix-205, 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)) )).
% 20.36/20.59 cnf(matrix-206, 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)) )).
% 20.36/20.59 cnf(matrix-207, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_ORep__Frac(__eqx_0) = c_Nitpick_ORep__Frac(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-208, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_Obool_Obool__size(__eqx_0) = c_HOL_Obool_Obool__size(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-209, 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)) )).
% 20.36/20.59 cnf(matrix-210, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Olist_OCons(__eqx_0) = c_List_Olist_OCons(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-211, 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)) )).
% 20.36/20.59 cnf(matrix-212, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Random_Opick(__eqx_0, __eqx_1) = c_Random_Opick(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-213, 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)) )).
% 20.36/20.59 cnf(matrix-214, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olexord(__eqx_0, __eqx_1) = c_List_Olexord(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-215, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olistrel1(__eqx_0, __eqx_1) = c_List_Olistrel1(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-216, 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)) )).
% 20.36/20.59 cnf(matrix-217, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olistrel(__eqx_0, __eqx_1) = c_List_Olistrel(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-218, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olists(__eqx_0, __eqx_1) = c_List_Olists(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-219, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Onth(__eqx_0) = c_List_Onth(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-220, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Otake(__eqx_0) = c_List_Otake(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-221, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oset(__eqx_0) = c_List_Oset(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-222, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Ozip(__eqx_0, __eqx_1) = c_List_Ozip(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-223, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oupto(__eqx_0, __eqx_1) = c_List_Oupto(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-224, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Omonoid__add__class_Olistsum(__eqx_0) = c_List_Omonoid__add__class_Olistsum(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-225, 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)) )).
% 20.36/20.59 cnf(matrix-226, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Obutlast(__eqx_0, __eqx_1) = c_List_Obutlast(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-227, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Odistinct(__eqx_0) = c_List_Odistinct(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-228, 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)) )).
% 20.36/20.59 cnf(matrix-229, 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)) )).
% 20.36/20.59 cnf(matrix-230, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Olist_ONil(__eqx_0) = c_List_Olist_ONil(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-231, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Random_Oselect(__eqx_0, __eqx_1) = c_Random_Oselect(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-232, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olistset(__eqx_0, __eqx_1) = c_List_Olistset(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-233, 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)) )).
% 20.36/20.59 cnf(matrix-234, 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)) )).
% 20.36/20.59 cnf(matrix-235, 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)) )).
% 20.36/20.59 cnf(matrix-236, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_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)) )).
% 20.36/20.59 cnf(matrix-237, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oappend(__eqx_0) = c_List_Oappend(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-238, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Orotate1(__eqx_0) = c_List_Orotate1(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-239, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Odrop(__eqx_0) = c_List_Odrop(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-240, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Ohd(__eqx_0) = c_List_Ohd(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-241, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Otl(__eqx_0) = c_List_Otl(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-242, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Orotate(__eqx_0, __eqx_1) = c_List_Orotate(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-243, 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)) )).
% 20.36/20.59 cnf(matrix-244, 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)) )).
% 20.36/20.59 cnf(matrix-245, 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)) )).
% 20.36/20.59 cnf(matrix-246, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olast(__eqx_0, __eqx_1) = c_List_Olast(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-247, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Omap(__eqx_0, __eqx_1) = c_List_Omap(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-248, 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)) )).
% 20.36/20.59 cnf(matrix-249, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__DSequence_Opos__not__seq(__eqx_0) = c_New__DSequence_Opos__not__seq(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-250, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Ohb__not__seq(__eqx_0) = c_Lazy__Sequence_Ohb__not__seq(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-251, 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)) )).
% 20.36/20.59 cnf(matrix-252, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olistsp(__eqx_0, __eqx_1) = c_List_Olistsp(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-253, 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)) )).
% 20.36/20.59 cnf(matrix-254, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Enum_Osublists(__eqx_0, __eqx_1) = c_Enum_Osublists(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-255, 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)) )).
% 20.36/20.59 cnf(matrix-256, 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)) )).
% 20.36/20.59 cnf(matrix-257, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oremdups(__eqx_0, __eqx_1) = c_List_Oremdups(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-258, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_OremoveAll(__eqx_0, __eqx_1) = c_List_OremoveAll(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-259, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oconcat(__eqx_0, __eqx_1) = c_List_Oconcat(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-260, 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)) )).
% 20.36/20.59 cnf(matrix-261, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Otranspose(__eqx_0, __eqx_1) = c_List_Otranspose(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-262, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Ofilter(__eqx_0, __eqx_1) = c_List_Ofilter(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-263, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Otranspose__rel(__eqx_0) = c_List_Otranspose__rel(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-264, 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)) )).
% 20.36/20.59 cnf(matrix-265, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oupt(__eqx_0, __eqx_1) = c_List_Oupt(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-266, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Orev(__eqx_0) = c_List_Orev(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-267, 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)) )).
% 20.36/20.59 cnf(matrix-268, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oreturn__list(__eqx_0) = c_List_Oreturn__list(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-269, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oembed__list(__eqx_0) = c_List_Oembed__list(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-270, 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)) )).
% 20.36/20.59 cnf(matrix-271, 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)) )).
% 20.36/20.59 cnf(matrix-272, 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)) )).
% 20.36/20.59 cnf(matrix-273, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Omeasures(__eqx_0, __eqx_1) = c_List_Omeasures(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-274, plain, ( ( __eqx_0 != __eqy_0) | ( c_Enum_Oenum__class_Oenum__ex(__eqx_0) = c_Enum_Oenum__class_Oenum__ex(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-275, 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)) )).
% 20.36/20.59 cnf(matrix-276, plain, ( ( __eqx_0 != __eqy_0) | ( c_Enum_Oenum__class_Oenum__all(__eqx_0) = c_Enum_Oenum__class_Oenum__all(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-277, 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)) )).
% 20.36/20.59 cnf(matrix-278, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Ohit__bound(__eqx_0) = c_Lazy__Sequence_Ohit__bound(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-279, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Lazy__Sequence_Olazy__sequence(__eqx_0) = tc_Lazy__Sequence_Olazy__sequence(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-280, 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)) )).
% 20.36/20.59 cnf(matrix-281, 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)) )).
% 20.36/20.59 cnf(matrix-282, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Oempty(__eqx_0) = c_Lazy__Sequence_Oempty(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-283, 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)) )).
% 20.36/20.59 cnf(matrix-284, 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)) )).
% 20.36/20.59 cnf(matrix-285, 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)) )).
% 20.36/20.59 cnf(matrix-286, 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)) )).
% 20.36/20.59 cnf(matrix-287, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__DSequence_Opos__empty(__eqx_0) = c_New__DSequence_Opos__empty(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-288, 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)) )).
% 20.36/20.59 cnf(matrix-289, 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)) )).
% 20.36/20.59 cnf(matrix-290, 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)) )).
% 20.36/20.59 cnf(matrix-291, 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)) )).
% 20.36/20.59 cnf(matrix-292, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__Random__Sequence_Oneg__single(__eqx_0) = c_New__Random__Sequence_Oneg__single(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-293, 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)) )).
% 20.36/20.59 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__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__Random__Sequence_Opos__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-295, 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)) )).
% 20.36/20.59 cnf(matrix-296, 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)) )).
% 20.36/20.59 cnf(matrix-297, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__Random__Sequence_Opos__single(__eqx_0) = c_New__Random__Sequence_Opos__single(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-298, 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)) )).
% 20.36/20.59 cnf(matrix-299, 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)) )).
% 20.36/20.59 cnf(matrix-300, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Osingle(__eqx_0) = c_Lazy__Sequence_Osingle(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-301, 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)) )).
% 20.36/20.59 cnf(matrix-302, 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)) )).
% 20.36/20.59 cnf(matrix-303, 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)) )).
% 20.36/20.59 cnf(matrix-304, 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)) )).
% 20.36/20.59 cnf(matrix-305, 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)) )).
% 20.36/20.59 cnf(matrix-306, 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)) )).
% 20.36/20.59 cnf(matrix-307, 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)) )).
% 20.36/20.59 cnf(matrix-308, 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)) )).
% 20.36/20.59 cnf(matrix-309, 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)) )).
% 20.36/20.59 cnf(matrix-310, 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)) )).
% 20.36/20.59 cnf(matrix-311, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Oyield(__eqx_0) = c_Lazy__Sequence_Oyield(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-312, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_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)) )).
% 20.36/20.59 cnf(matrix-313, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Oyieldn(__eqx_0) = c_Lazy__Sequence_Oyieldn(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-314, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Omember(__eqx_0) = c_List_Omember(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-315, 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)) )).
% 20.36/20.59 cnf(matrix-316, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Olazy__sequence_OEmpty(__eqx_0) = c_Lazy__Sequence_Olazy__sequence_OEmpty(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-317, 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)) )).
% 20.36/20.59 cnf(matrix-318, 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)) )).
% 20.36/20.59 cnf(matrix-319, plain, ( ( __eqx_0 != __eqy_0) | ( c_DSequence_Oempty(__eqx_0) = c_DSequence_Oempty(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-320, plain, ( ( __eqx_0 != __eqy_0) | ( c_DSequence_Ounion(__eqx_0) = c_DSequence_Ounion(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-321, plain, ( ( __eqx_0 != __eqy_0) | ( c_DSequence_Osingle(__eqx_0) = c_DSequence_Osingle(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-322, 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)) )).
% 20.36/20.59 cnf(matrix-323, plain, ( ( __eqx_0 != __eqy_0) | ( c_Random__Sequence_Osingle(__eqx_0) = c_Random__Sequence_Osingle(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-324, 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)) )).
% 20.36/20.59 cnf(matrix-325, 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)) )).
% 20.36/20.59 cnf(matrix-326, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_OBex(__eqx_0) = c_Set_OBex(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-327, 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)) )).
% 20.36/20.59 cnf(matrix-328, 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)) )).
% 20.36/20.59 cnf(matrix-329, 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)) )).
% 20.36/20.59 cnf(matrix-330, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Quickcheck_Obeyond(__eqx_0, __eqx_1) = c_Quickcheck_Obeyond(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-331, 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)) )).
% 20.36/20.59 cnf(matrix-332, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Quotient_ORespects(__eqx_0, __eqx_1) = c_Quotient_ORespects(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-333, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Quotient_OBabs(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Quotient_OBabs(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-334, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Lazy__Sequence_Oflat(__eqx_0, __eqx_1) = c_Lazy__Sequence_Oflat(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-335, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Lazy__Sequence_Omap(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Lazy__Sequence_Omap(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-336, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_New__DSequence_Opos__map(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_New__DSequence_Opos__map(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-337, plain, ( ( __eqx_0 != __eqy_0) | ( c_Rings_Odvd__class_Odvd(__eqx_0) = c_Rings_Odvd__class_Odvd(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-338, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 20.36/20.59 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) | ( 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)) )).
% 20.36/20.59 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) | ( 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)) )).
% 20.36/20.59 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) | ( 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)) )).
% 20.36/20.59 cnf(matrix-342, 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)) )).
% 20.36/20.59 cnf(matrix-343, 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) | ( skolem6(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem6(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 20.36/20.59 cnf(matrix-344, 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) | ( skolem7(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem7(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 20.36/20.59 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) | ( skolem8(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem8(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 20.36/20.59 cnf(matrix-346, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem9(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem9(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-347, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem10(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem10(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-348, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem11(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem11(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-349, 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)) )).
% 20.36/20.59 cnf(matrix-350, 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)) )).
% 20.36/20.59 cnf(matrix-351, 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)) )).
% 20.36/20.59 cnf(matrix-352, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem15(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem15(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-353, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem16(__eqx_0, __eqx_1) = skolem16(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-354, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem17(__eqx_0, __eqx_1) = skolem17(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-355, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem18(__eqx_0, __eqx_1) = skolem18(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-356, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem19(__eqx_0, __eqx_1) = skolem19(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-357, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem20(__eqx_0, __eqx_1, __eqx_2) = skolem20(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-358, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem21(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem21(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-359, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem22(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem22(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-360, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem23(__eqx_0, __eqx_1, __eqx_2) = skolem23(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-361, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem24(__eqx_0, __eqx_1, __eqx_2) = skolem24(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-362, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem25(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem25(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-363, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem26(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem26(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-364, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem27(__eqx_0, __eqx_1) = skolem27(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-365, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem28(__eqx_0, __eqx_1) = skolem28(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-366, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem29(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem29(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-367, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem30(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem30(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-368, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem31(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem31(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-369, 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)) )).
% 20.36/20.59 cnf(matrix-370, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem33(__eqx_0, __eqx_1, __eqx_2) = skolem33(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-371, 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)) )).
% 20.36/20.59 cnf(matrix-372, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem35(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem35(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-373, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem36(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem36(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 20.36/20.59 cnf(matrix-374, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem37(__eqx_0, __eqx_1, __eqx_2) = skolem37(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-375, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem38(__eqx_0, __eqx_1) = skolem38(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-376, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem39(__eqx_0, __eqx_1) = skolem39(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-377, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem40(__eqx_0, __eqx_1) = skolem40(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-378, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem41(__eqx_0, __eqx_1) = skolem41(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-379, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem42(__eqx_0, __eqx_1) = skolem42(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-380, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem43(__eqx_0, __eqx_1, __eqx_2) = skolem43(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-381, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem44(__eqx_0, __eqx_1, __eqx_2) = skolem44(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-382, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem45(__eqx_0, __eqx_1, __eqx_2) = skolem45(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-383, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem46(__eqx_0, __eqx_1, __eqx_2) = skolem46(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-384, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem47(__eqx_0, __eqx_1, __eqx_2) = skolem47(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-385, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem48(__eqx_0, __eqx_1, __eqx_2) = skolem48(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-386, 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) | ( skolem49(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem49(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 20.36/20.59 cnf(matrix-387, 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) | ( skolem50(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem50(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 20.36/20.59 cnf(matrix-388, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem51(__eqx_0, __eqx_1, __eqx_2) = skolem51(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-389, 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) | ( skolem52(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem52(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 20.36/20.59 cnf(matrix-390, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem53(__eqx_0, __eqx_1) = skolem53(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-391, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem54(__eqx_0, __eqx_1) = skolem54(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-392, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem55(__eqx_0, __eqx_1) = skolem55(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-393, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem56(__eqx_0, __eqx_1) = skolem56(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-394, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem57(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem57(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-395, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem58(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem58(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-396, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem59(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem59(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-397, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem60(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem60(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-398, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem61(__eqx_0, __eqx_1) = skolem61(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-399, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem62(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem62(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-400, 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) | ( skolem63(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem63(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 20.36/20.59 cnf(matrix-401, 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)) )).
% 20.36/20.59 cnf(matrix-402, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem65(__eqx_0, __eqx_1, __eqx_2) = skolem65(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-403, 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)) )).
% 20.36/20.59 cnf(matrix-404, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem67(__eqx_0, __eqx_1) = skolem67(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-405, 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)) )).
% 20.36/20.59 cnf(matrix-406, 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)) )).
% 20.36/20.59 cnf(matrix-407, 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)) )).
% 20.36/20.59 cnf(matrix-408, 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)) )).
% 20.36/20.59 cnf(matrix-409, 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)) )).
% 20.36/20.59 cnf(matrix-410, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem73(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem73(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-411, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem74(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem74(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-412, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem75(__eqx_0, __eqx_1) = skolem75(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-413, plain, ( ( __eqx_0 != __eqy_0) | ( skolem76(__eqx_0) = skolem76(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-414, 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)) )).
% 20.36/20.59 cnf(matrix-415, 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)) )).
% 20.36/20.59 cnf(matrix-416, 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)) )).
% 20.36/20.59 cnf(matrix-417, 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)) )).
% 20.36/20.59 cnf(matrix-418, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem81(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem81(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-419, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem82(__eqx_0, __eqx_1, __eqx_2) = skolem82(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-420, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem83(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem83(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-421, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem84(__eqx_0, __eqx_1, __eqx_2) = skolem84(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-422, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem85(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem85(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-423, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem86(__eqx_0, __eqx_1, __eqx_2) = skolem86(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-424, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem87(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem87(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-425, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem88(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem88(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-426, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem89(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem89(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-427, 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)) )).
% 20.36/20.59 cnf(matrix-428, 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)) )).
% 20.36/20.59 cnf(matrix-429, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem92(__eqx_0, __eqx_1) = skolem92(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-430, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem93(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem93(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-431, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem94(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem94(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-432, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem95(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem95(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-433, 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)) )).
% 20.36/20.59 cnf(matrix-434, 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)) )).
% 20.36/20.59 cnf(matrix-435, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem98(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem98(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-436, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem99(__eqx_0, __eqx_1) = skolem99(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-437, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem100(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem100(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-438, 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) | ( skolem101(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem101(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 20.36/20.59 cnf(matrix-439, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem102(__eqx_0, __eqx_1, __eqx_2) = skolem102(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-440, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem103(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem103(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-441, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem104(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem104(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-442, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem105(__eqx_0, __eqx_1, __eqx_2) = skolem105(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-443, 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)) )).
% 20.36/20.59 cnf(matrix-444, 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)) )).
% 20.36/20.59 cnf(matrix-445, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem108(__eqx_0, __eqx_1, __eqx_2) = skolem108(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-446, plain, ( ( __eqx_0 != __eqy_0) | ( skolem109(__eqx_0) = skolem109(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-447, plain, ( ( __eqx_0 != __eqy_0) | ( skolem110(__eqx_0) = skolem110(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-448, plain, ( ( __eqx_0 != __eqy_0) | ( skolem111(__eqx_0) = skolem111(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-449, plain, ( ( __eqx_0 != __eqy_0) | ( skolem112(__eqx_0) = skolem112(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-450, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem113(__eqx_0, __eqx_1) = skolem113(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-451, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem114(__eqx_0, __eqx_1) = skolem114(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-452, 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)) )).
% 20.36/20.59 cnf(matrix-453, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem116(__eqx_0, __eqx_1, __eqx_2) = skolem116(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-454, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem117(__eqx_0, __eqx_1, __eqx_2) = skolem117(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-455, plain, ( ( __eqx_0 != __eqy_0) | ( skolem118(__eqx_0) = skolem118(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-456, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem119(__eqx_0, __eqx_1, __eqx_2) = skolem119(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-457, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem120(__eqx_0, __eqx_1, __eqx_2) = skolem120(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-458, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem121(__eqx_0, __eqx_1, __eqx_2) = skolem121(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-459, 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)) )).
% 20.36/20.59 cnf(matrix-460, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem123(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem123(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-461, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem124(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem124(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-462, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem125(__eqx_0, __eqx_1) = skolem125(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-463, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem126(__eqx_0, __eqx_1, __eqx_2) = skolem126(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-464, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem127(__eqx_0, __eqx_1, __eqx_2) = skolem127(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-465, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem128(__eqx_0, __eqx_1, __eqx_2) = skolem128(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-466, 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)) )).
% 20.36/20.59 cnf(matrix-467, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem130(__eqx_0, __eqx_1) = skolem130(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-468, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem131(__eqx_0, __eqx_1, __eqx_2) = skolem131(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-469, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem132(__eqx_0, __eqx_1, __eqx_2) = skolem132(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-470, plain, ( ( __eqx_0 != __eqy_0) | ( skolem133(__eqx_0) = skolem133(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-471, plain, ( ( __eqx_0 != __eqy_0) | ( skolem134(__eqx_0) = skolem134(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-472, plain, ( ( __eqx_0 != __eqy_0) | ( skolem135(__eqx_0) = skolem135(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-473, plain, ( ( __eqx_0 != __eqy_0) | ( skolem136(__eqx_0) = skolem136(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-474, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem137(__eqx_0, __eqx_1) = skolem137(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-475, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem138(__eqx_0, __eqx_1, __eqx_2) = skolem138(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-476, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem139(__eqx_0, __eqx_1, __eqx_2) = skolem139(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-477, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem140(__eqx_0, __eqx_1, __eqx_2) = skolem140(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-478, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem141(__eqx_0, __eqx_1, __eqx_2) = skolem141(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-479, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem142(__eqx_0, __eqx_1, __eqx_2) = skolem142(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-480, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem143(__eqx_0, __eqx_1, __eqx_2) = skolem143(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-481, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem144(__eqx_0, __eqx_1, __eqx_2) = skolem144(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-482, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem145(__eqx_0, __eqx_1, __eqx_2) = skolem145(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-483, 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)) )).
% 20.36/20.59 cnf(matrix-484, 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)) )).
% 20.36/20.59 cnf(matrix-485, 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)) )).
% 20.36/20.59 cnf(matrix-486, plain, ( ( __eqx_0 != __eqy_0) | ( skolem149(__eqx_0) = skolem149(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-487, 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)) )).
% 20.36/20.59 cnf(matrix-488, 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)) )).
% 20.36/20.59 cnf(matrix-489, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem152(__eqx_0, __eqx_1, __eqx_2) = skolem152(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-490, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem153(__eqx_0, __eqx_1, __eqx_2) = skolem153(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-491, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem154(__eqx_0, __eqx_1, __eqx_2) = skolem154(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-492, 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)) )).
% 20.36/20.59 cnf(matrix-493, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem156(__eqx_0, __eqx_1) = skolem156(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-494, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem157(__eqx_0, __eqx_1, __eqx_2) = skolem157(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-495, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem158(__eqx_0, __eqx_1, __eqx_2) = skolem158(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-496, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem159(__eqx_0, __eqx_1, __eqx_2) = skolem159(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-497, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem160(__eqx_0, __eqx_1, __eqx_2) = skolem160(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-498, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem161(__eqx_0, __eqx_1, __eqx_2) = skolem161(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-499, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem162(__eqx_0, __eqx_1, __eqx_2) = skolem162(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-500, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem163(__eqx_0, __eqx_1, __eqx_2) = skolem163(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-501, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem164(__eqx_0, __eqx_1, __eqx_2) = skolem164(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-502, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem165(__eqx_0, __eqx_1, __eqx_2) = skolem165(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-503, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem166(__eqx_0, __eqx_1, __eqx_2) = skolem166(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-504, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem167(__eqx_0, __eqx_1, __eqx_2) = skolem167(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-505, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem168(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem168(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-506, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem169(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem169(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-507, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem170(__eqx_0, __eqx_1, __eqx_2) = skolem170(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-508, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem171(__eqx_0, __eqx_1) = skolem171(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-509, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem172(__eqx_0, __eqx_1, __eqx_2) = skolem172(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-510, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem173(__eqx_0, __eqx_1, __eqx_2) = skolem173(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-511, 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)) )).
% 20.36/20.59 cnf(matrix-512, plain, ( ( __eqx_0 != __eqy_0) | ( skolem175(__eqx_0) = skolem175(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-513, plain, ( ( __eqx_0 != __eqy_0) | ( skolem176(__eqx_0) = skolem176(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-514, plain, ( ( __eqx_0 != __eqy_0) | ( skolem177(__eqx_0) = skolem177(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-515, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem178(__eqx_0, __eqx_1) = skolem178(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-516, plain, ( ( __eqx_0 != __eqy_0) | ( skolem179(__eqx_0) = skolem179(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-517, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem180(__eqx_0, __eqx_1) = skolem180(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-518, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem181(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem181(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-519, 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) | ( skolem182(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem182(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 20.36/20.59 cnf(matrix-520, 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)) )).
% 20.36/20.59 cnf(matrix-521, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem184(__eqx_0, __eqx_1) = skolem184(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-522, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem185(__eqx_0, __eqx_1) = skolem185(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-523, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem186(__eqx_0, __eqx_1) = skolem186(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-524, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem187(__eqx_0, __eqx_1) = skolem187(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-525, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem188(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem188(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-526, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem189(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem189(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-527, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem190(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem190(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-528, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem191(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem191(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-529, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem192(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem192(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-530, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem193(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem193(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-531, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem194(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem194(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-532, 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)) )).
% 20.36/20.59 cnf(matrix-533, 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)) )).
% 20.36/20.59 cnf(matrix-534, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem197(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem197(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-535, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem198(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem198(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-536, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem199(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem199(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-537, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem200(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem200(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-538, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem201(__eqx_0, __eqx_1) = skolem201(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-539, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem202(__eqx_0, __eqx_1) = skolem202(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-540, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem203(__eqx_0, __eqx_1) = skolem203(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-541, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem204(__eqx_0, __eqx_1) = skolem204(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-542, 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) | ( skolem205(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem205(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 20.36/20.59 cnf(matrix-543, 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) | ( skolem206(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem206(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 20.36/20.59 cnf(matrix-544, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem207(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem207(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-545, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem208(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem208(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-546, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem209(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem209(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-547, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem210(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem210(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-548, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem211(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem211(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-549, 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)) )).
% 20.36/20.59 cnf(matrix-550, 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)) )).
% 20.36/20.59 cnf(matrix-551, 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)) )).
% 20.36/20.59 cnf(matrix-552, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem215(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem215(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-553, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem216(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem216(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-554, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem217(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem217(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-555, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem218(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem218(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-556, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem219(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem219(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-557, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem220(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem220(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-558, 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)) )).
% 20.36/20.59 cnf(matrix-559, 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)) )).
% 20.36/20.59 cnf(matrix-560, 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)) )).
% 20.36/20.59 cnf(matrix-561, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem224(__eqx_0, __eqx_1, __eqx_2) = skolem224(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-562, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem225(__eqx_0, __eqx_1, __eqx_2) = skolem225(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-563, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem226(__eqx_0, __eqx_1, __eqx_2) = skolem226(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-564, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem227(__eqx_0, __eqx_1, __eqx_2) = skolem227(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-565, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem228(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem228(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-566, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem229(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem229(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-567, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem230(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem230(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-568, 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)) )).
% 20.36/20.59 cnf(matrix-569, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem232(__eqx_0, __eqx_1) = skolem232(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-570, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem233(__eqx_0, __eqx_1) = skolem233(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-571, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem234(__eqx_0, __eqx_1) = skolem234(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-572, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem235(__eqx_0, __eqx_1) = skolem235(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-573, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem236(__eqx_0, __eqx_1) = skolem236(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-574, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem237(__eqx_0, __eqx_1) = skolem237(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-575, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem238(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem238(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-576, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem239(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem239(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-577, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem240(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem240(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-578, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem241(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem241(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-579, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem242(__eqx_0, __eqx_1, __eqx_2) = skolem242(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-580, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem243(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem243(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-581, 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)) )).
% 20.36/20.59 cnf(matrix-582, plain, ( ( __eqx_0 != __eqy_0) | ( skolem245(__eqx_0) = skolem245(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-583, plain, ( ( __eqx_0 != __eqy_0) | ( skolem246(__eqx_0) = skolem246(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-584, plain, ( ( __eqx_0 != __eqy_0) | ( skolem247(__eqx_0) = skolem247(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-585, plain, ( ( __eqx_0 != __eqy_0) | ( skolem248(__eqx_0) = skolem248(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-586, 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) | ( skolem249(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem249(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 20.36/20.59 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) | ( __eqx_6 != __eqy_6) | ( skolem250(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem250(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 20.36/20.59 cnf(matrix-588, 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) | ( skolem251(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7, __eqx_8, __eqx_9, __eqx_10) = skolem251(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7, __eqy_8, __eqy_9, __eqy_10)) )).
% 20.36/20.59 cnf(matrix-589, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( __eqx_8 != __eqy_8) | ( __eqx_9 != __eqy_9) | ( __eqx_10 != __eqy_10) | ( skolem252(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7, __eqx_8, __eqx_9, __eqx_10) = skolem252(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7, __eqy_8, __eqy_9, __eqy_10)) )).
% 20.36/20.59 cnf(matrix-590, 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) | ( skolem253(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem253(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 20.36/20.59 cnf(matrix-591, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem254(__eqx_0, __eqx_1) = skolem254(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-592, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem255(__eqx_0, __eqx_1) = skolem255(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-593, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem256(__eqx_0, __eqx_1) = skolem256(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-594, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem257(__eqx_0, __eqx_1) = skolem257(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-595, 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)) )).
% 20.36/20.59 cnf(matrix-596, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem259(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem259(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-597, 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)) )).
% 20.36/20.59 cnf(matrix-598, 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)) )).
% 20.36/20.59 cnf(matrix-599, 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)) )).
% 20.36/20.59 cnf(matrix-600, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem263(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem263(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-601, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem264(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem264(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-602, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem265(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem265(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-603, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem266(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem266(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-604, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem267(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem267(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-605, 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)) )).
% 20.36/20.59 cnf(matrix-606, 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)) )).
% 20.36/20.59 cnf(matrix-607, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem270(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem270(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 20.36/20.59 cnf(matrix-608, 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) | ( skolem271(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7, __eqx_8) = skolem271(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7, __eqy_8)) )).
% 20.36/20.59 cnf(matrix-609, plain, ( ( __eqx_0 != __eqy_0) | ( skolem272(__eqx_0) = skolem272(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-610, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem273(__eqx_0, __eqx_1, __eqx_2) = skolem273(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-611, 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)) )).
% 20.36/20.59 cnf(matrix-612, 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)) )).
% 20.36/20.59 cnf(matrix-613, 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)) )).
% 20.36/20.59 cnf(matrix-614, 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)) )).
% 20.36/20.59 cnf(matrix-615, 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)) )).
% 20.36/20.59 cnf(matrix-616, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem279(__eqx_0, __eqx_1, __eqx_2) = skolem279(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-617, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem280(__eqx_0, __eqx_1, __eqx_2) = skolem280(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-618, 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)) )).
% 20.36/20.59 cnf(matrix-619, 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)) )).
% 20.36/20.59 cnf(matrix-620, 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)) )).
% 20.36/20.59 cnf(matrix-621, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem284(__eqx_0, __eqx_1, __eqx_2) = skolem284(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-622, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem285(__eqx_0, __eqx_1, __eqx_2) = skolem285(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-623, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem286(__eqx_0, __eqx_1, __eqx_2) = skolem286(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-624, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem287(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem287(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-625, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem288(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem288(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-626, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem289(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem289(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-627, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem290(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem290(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-628, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem291(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem291(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-629, 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)) )).
% 20.36/20.59 cnf(matrix-630, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem293(__eqx_0, __eqx_1, __eqx_2) = skolem293(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-631, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem294(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem294(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-632, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem295(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem295(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-633, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem296(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem296(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-634, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem297(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem297(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-635, 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) | ( skolem298(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem298(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 20.36/20.59 cnf(matrix-636, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem299(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem299(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-637, 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) | ( skolem300(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem300(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 20.36/20.59 cnf(matrix-638, 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) | ( skolem301(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem301(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 20.36/20.59 cnf(matrix-639, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem302(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem302(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-640, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem303(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem303(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-641, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem304(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem304(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-642, 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) | ( skolem305(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem305(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 20.36/20.59 cnf(matrix-643, 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) | ( skolem306(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem306(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 20.36/20.59 cnf(matrix-644, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem307(__eqx_0, __eqx_1, __eqx_2) = skolem307(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-645, plain, ( ( __eqx_0 != __eqy_0) | ( skolem308(__eqx_0) = skolem308(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-646, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem309(__eqx_0, __eqx_1, __eqx_2) = skolem309(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-647, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem310(__eqx_0, __eqx_1) = skolem310(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-648, 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) | ( skolem311(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem311(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 20.36/20.59 cnf(matrix-649, plain, ( ( __eqx_0 != __eqy_0) | ( skolem312(__eqx_0) = skolem312(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-650, plain, ( ( __eqx_0 != __eqy_0) | ( skolem313(__eqx_0) = skolem313(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-651, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem314(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem314(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 20.36/20.59 cnf(matrix-652, 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)) )).
% 20.36/20.59 cnf(matrix-653, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem316(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem316(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 20.36/20.59 cnf(matrix-654, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem317(__eqx_0, __eqx_1) = skolem317(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-655, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem318(__eqx_0, __eqx_1) = skolem318(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-656, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem319(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem319(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-657, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem320(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem320(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-658, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem321(__eqx_0, __eqx_1) = skolem321(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-659, 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)) )).
% 20.36/20.59 cnf(matrix-660, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem323(__eqx_0, __eqx_1) = skolem323(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-661, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem324(__eqx_0, __eqx_1, __eqx_2) = skolem324(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-662, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem325(__eqx_0, __eqx_1) = skolem325(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-663, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem326(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem326(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-664, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem327(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem327(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-665, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem328(__eqx_0, __eqx_1) = skolem328(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-666, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem329(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem329(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-667, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem330(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem330(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-668, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem331(__eqx_0, __eqx_1) = skolem331(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-669, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem332(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem332(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-670, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem333(__eqx_0, __eqx_1, __eqx_2) = skolem333(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-671, 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)) )).
% 20.36/20.59 cnf(matrix-672, 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)) )).
% 20.36/20.59 cnf(matrix-673, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem336(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem336(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-674, plain, ( ( __eqx_0 != __eqy_0) | ( skolem337(__eqx_0) = skolem337(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-675, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem338(__eqx_0, __eqx_1) = skolem338(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-676, 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)) )).
% 20.36/20.59 cnf(matrix-677, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem340(__eqx_0, __eqx_1) = skolem340(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-678, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem341(__eqx_0, __eqx_1, __eqx_2) = skolem341(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-679, 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)) )).
% 20.36/20.59 cnf(matrix-680, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem343(__eqx_0, __eqx_1, __eqx_2) = skolem343(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-681, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem344(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem344(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 20.36/20.59 cnf(matrix-682, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem345(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem345(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 20.36/20.59 cnf(matrix-683, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem346(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem346(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 20.36/20.59 cnf(matrix-684, 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) | ( skolem347(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem347(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 20.36/20.59 cnf(matrix-685, 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) | ( skolem348(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem348(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 20.36/20.59 cnf(matrix-686, 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) | ( skolem349(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem349(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 20.36/20.59 cnf(matrix-687, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem350(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem350(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 20.36/20.59 cnf(matrix-688, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem351(__eqx_0, __eqx_1) = skolem351(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-689, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem352(__eqx_0, __eqx_1) = skolem352(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-690, 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) | ( skolem353(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem353(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 20.36/20.59 cnf(matrix-691, 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)) )).
% 20.36/20.59 cnf(matrix-692, 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)) )).
% 20.36/20.59 cnf(matrix-693, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem356(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem356(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-694, 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)) )).
% 20.36/20.59 cnf(matrix-695, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem358(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem358(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-696, 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)) )).
% 20.36/20.59 cnf(matrix-697, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem360(__eqx_0, __eqx_1, __eqx_2) = skolem360(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-698, 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) | ( skolem361(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem361(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 20.36/20.59 cnf(matrix-699, 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) | ( skolem362(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem362(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 20.36/20.59 cnf(matrix-700, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem363(__eqx_0, __eqx_1) = skolem363(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-701, 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)) )).
% 20.36/20.59 cnf(matrix-702, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem365(__eqx_0, __eqx_1, __eqx_2) = skolem365(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-703, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem366(__eqx_0, __eqx_1, __eqx_2) = skolem366(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-704, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem367(__eqx_0, __eqx_1, __eqx_2) = skolem367(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-705, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem368(__eqx_0, __eqx_1, __eqx_2) = skolem368(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-706, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem369(__eqx_0, __eqx_1, __eqx_2) = skolem369(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-707, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem370(__eqx_0, __eqx_1) = skolem370(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-708, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem371(__eqx_0, __eqx_1, __eqx_2) = skolem371(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-709, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem372(__eqx_0, __eqx_1, __eqx_2) = skolem372(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-710, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem373(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem373(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-711, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem374(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem374(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-712, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem375(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem375(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-713, 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)) )).
% 20.36/20.59 cnf(matrix-714, 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)) )).
% 20.36/20.59 cnf(matrix-715, 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)) )).
% 20.36/20.59 cnf(matrix-716, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem379(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem379(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-717, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem380(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem380(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-718, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem381(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem381(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-719, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem382(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem382(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-720, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem383(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem383(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-721, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem384(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem384(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-722, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem385(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem385(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-723, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem386(__eqx_0, __eqx_1) = skolem386(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-724, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem387(__eqx_0, __eqx_1, __eqx_2) = skolem387(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-725, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem388(__eqx_0, __eqx_1) = skolem388(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-726, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem389(__eqx_0, __eqx_1) = skolem389(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-727, 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)) )).
% 20.36/20.59 cnf(matrix-728, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem391(__eqx_0, __eqx_1) = skolem391(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-729, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem392(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem392(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-730, 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) | ( skolem393(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem393(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 20.36/20.59 cnf(matrix-731, 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) | ( skolem394(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem394(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 20.36/20.59 cnf(matrix-732, 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) | ( skolem395(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem395(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 20.36/20.59 cnf(matrix-733, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem396(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem396(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-734, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem397(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem397(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-735, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem398(__eqx_0, __eqx_1) = skolem398(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-736, 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)) )).
% 20.36/20.59 cnf(matrix-737, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem400(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem400(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-738, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem401(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem401(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-739, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem402(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem402(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-740, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem403(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem403(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-741, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem404(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem404(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-742, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem405(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem405(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-743, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem406(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem406(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-744, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem407(__eqx_0, __eqx_1, __eqx_2) = skolem407(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-745, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem408(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem408(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-746, 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)) )).
% 20.36/20.59 cnf(matrix-747, 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)) )).
% 20.36/20.59 cnf(matrix-748, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem411(__eqx_0, __eqx_1, __eqx_2) = skolem411(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-749, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem412(__eqx_0, __eqx_1, __eqx_2) = skolem412(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-750, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem413(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem413(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-751, 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)) )).
% 20.36/20.59 cnf(matrix-752, plain, ( ( __eqx_0 != __eqy_0) | ( skolem415(__eqx_0) = skolem415(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-753, 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)) )).
% 20.36/20.59 cnf(matrix-754, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem417(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem417(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-755, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem418(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem418(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-756, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem419(__eqx_0, __eqx_1) = skolem419(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-757, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem420(__eqx_0, __eqx_1) = skolem420(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-758, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem421(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem421(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-759, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem422(__eqx_0, __eqx_1, __eqx_2) = skolem422(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-760, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem423(__eqx_0, __eqx_1, __eqx_2) = skolem423(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-761, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem424(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem424(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-762, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem425(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem425(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-763, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem426(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem426(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-764, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem427(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem427(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-765, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem428(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem428(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-766, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem429(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem429(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-767, 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)) )).
% 20.36/20.59 cnf(matrix-768, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem431(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem431(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-769, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem432(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem432(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-770, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem433(__eqx_0, __eqx_1) = skolem433(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-771, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem434(__eqx_0, __eqx_1, __eqx_2) = skolem434(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-772, 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)) )).
% 20.36/20.59 cnf(matrix-773, 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)) )).
% 20.36/20.59 cnf(matrix-774, 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)) )).
% 20.36/20.59 cnf(matrix-775, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem438(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem438(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-776, 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)) )).
% 20.36/20.59 cnf(matrix-777, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem440(__eqx_0, __eqx_1, __eqx_2) = skolem440(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-778, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem441(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem441(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-779, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem442(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem442(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-780, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem443(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem443(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-781, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem444(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem444(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-782, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem445(__eqx_0, __eqx_1) = skolem445(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-783, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem446(__eqx_0, __eqx_1) = skolem446(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-784, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem447(__eqx_0, __eqx_1, __eqx_2) = skolem447(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-785, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem448(__eqx_0, __eqx_1, __eqx_2) = skolem448(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-786, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem449(__eqx_0, __eqx_1, __eqx_2) = skolem449(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-787, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem450(__eqx_0, __eqx_1, __eqx_2) = skolem450(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-788, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem451(__eqx_0, __eqx_1) = skolem451(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-789, 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)) )).
% 20.36/20.59 cnf(matrix-790, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem453(__eqx_0, __eqx_1, __eqx_2) = skolem453(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-791, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem454(__eqx_0, __eqx_1, __eqx_2) = skolem454(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-792, 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)) )).
% 20.36/20.59 cnf(matrix-793, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem456(__eqx_0, __eqx_1, __eqx_2) = skolem456(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-794, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem457(__eqx_0, __eqx_1) = skolem457(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-795, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem458(__eqx_0, __eqx_1) = skolem458(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-796, 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)) )).
% 20.36/20.59 cnf(matrix-797, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem460(__eqx_0, __eqx_1, __eqx_2) = skolem460(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-798, 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)) )).
% 20.36/20.59 cnf(matrix-799, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem462(__eqx_0, __eqx_1) = skolem462(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-800, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem463(__eqx_0, __eqx_1) = skolem463(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-801, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem464(__eqx_0, __eqx_1, __eqx_2) = skolem464(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-802, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem465(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem465(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-803, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem466(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem466(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-804, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem467(__eqx_0, __eqx_1) = skolem467(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-805, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem468(__eqx_0, __eqx_1) = skolem468(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-806, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem469(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem469(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-807, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem470(__eqx_0, __eqx_1) = skolem470(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-808, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem471(__eqx_0, __eqx_1) = skolem471(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-809, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem472(__eqx_0, __eqx_1) = skolem472(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-810, 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) | ( skolem473(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem473(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 20.36/20.59 cnf(matrix-811, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem474(__eqx_0, __eqx_1) = skolem474(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-812, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem475(__eqx_0, __eqx_1) = skolem475(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-813, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem476(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem476(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-814, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem477(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem477(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-815, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem478(__eqx_0, __eqx_1) = skolem478(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-816, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem479(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem479(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-817, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem480(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem480(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-818, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem481(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem481(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-819, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem482(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem482(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 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) | ( skolem483(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem483(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 20.36/20.59 cnf(matrix-821, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem484(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem484(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-822, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem485(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem485(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-823, 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) | ( skolem486(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem486(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 20.36/20.59 cnf(matrix-824, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem487(__eqx_0, __eqx_1) = skolem487(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-825, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem488(__eqx_0, __eqx_1) = skolem488(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-826, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem489(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem489(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-827, 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)) )).
% 20.36/20.59 cnf(matrix-828, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem491(__eqx_0, __eqx_1, __eqx_2) = skolem491(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-829, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem492(__eqx_0, __eqx_1, __eqx_2) = skolem492(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-830, 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)) )).
% 20.36/20.59 cnf(matrix-831, 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)) )).
% 20.36/20.59 cnf(matrix-832, 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)) )).
% 20.36/20.59 cnf(matrix-833, 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)) )).
% 20.36/20.59 cnf(matrix-834, 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)) )).
% 20.36/20.59 cnf(matrix-835, 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)) )).
% 20.36/20.59 cnf(matrix-836, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem499(__eqx_0, __eqx_1, __eqx_2) = skolem499(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-837, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem500(__eqx_0, __eqx_1, __eqx_2) = skolem500(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-838, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem501(__eqx_0, __eqx_1, __eqx_2) = skolem501(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-839, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem502(__eqx_0, __eqx_1, __eqx_2) = skolem502(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-840, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem503(__eqx_0, __eqx_1, __eqx_2) = skolem503(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-841, 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)) )).
% 20.36/20.59 cnf(matrix-842, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem505(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem505(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-843, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem506(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem506(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-844, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem507(__eqx_0, __eqx_1, __eqx_2) = skolem507(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-845, 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)) )).
% 20.36/20.59 cnf(matrix-846, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem509(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem509(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-847, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem510(__eqx_0, __eqx_1, __eqx_2) = skolem510(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-848, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem511(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem511(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-849, 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)) )).
% 20.36/20.59 cnf(matrix-850, 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)) )).
% 20.36/20.59 cnf(matrix-851, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem514(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem514(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-852, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem515(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem515(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-853, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem516(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem516(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-854, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem517(__eqx_0, __eqx_1, __eqx_2) = skolem517(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-855, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem518(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem518(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 20.36/20.59 cnf(matrix-856, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem519(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem519(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 20.36/20.59 cnf(matrix-857, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem520(__eqx_0, __eqx_1) = skolem520(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-858, 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)) )).
% 20.36/20.59 cnf(matrix-859, 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) | ( skolem522(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem522(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 20.36/20.59 cnf(matrix-860, 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) | ( skolem523(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem523(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 20.36/20.59 cnf(matrix-861, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem524(__eqx_0, __eqx_1) = skolem524(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-862, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem525(__eqx_0, __eqx_1) = skolem525(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-863, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem526(__eqx_0, __eqx_1) = skolem526(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-864, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem527(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem527(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-865, plain, ( ( __eqx_0 != __eqy_0) | ( skolem528(__eqx_0) = skolem528(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-866, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem529(__eqx_0, __eqx_1) = skolem529(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-867, 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)) )).
% 20.36/20.59 cnf(matrix-868, 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)) )).
% 20.36/20.59 cnf(matrix-869, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem532(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem532(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-870, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem533(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem533(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-871, 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)) )).
% 20.36/20.59 cnf(matrix-872, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem535(__eqx_0, __eqx_1) = skolem535(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-873, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem536(__eqx_0, __eqx_1) = skolem536(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-874, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem537(__eqx_0, __eqx_1) = skolem537(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-875, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem538(__eqx_0, __eqx_1) = skolem538(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-876, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem539(__eqx_0, __eqx_1) = skolem539(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-877, plain, ( ( __eqx_0 != __eqy_0) | ( skolem540(__eqx_0) = skolem540(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-878, plain, ( ( __eqx_0 != __eqy_0) | ( skolem541(__eqx_0) = skolem541(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-879, plain, ( ( __eqx_0 != __eqy_0) | ( skolem542(__eqx_0) = skolem542(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-880, plain, ( ( __eqx_0 != __eqy_0) | ( skolem543(__eqx_0) = skolem543(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-881, plain, ( ( __eqx_0 != __eqy_0) | ( skolem544(__eqx_0) = skolem544(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-882, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem545(__eqx_0, __eqx_1) = skolem545(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-883, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem546(__eqx_0, __eqx_1) = skolem546(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-884, 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)) )).
% 20.36/20.59 cnf(matrix-885, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem548(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem548(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-886, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem549(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem549(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 20.36/20.59 cnf(matrix-887, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem550(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem550(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 20.36/20.59 cnf(matrix-888, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem551(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem551(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 20.36/20.59 cnf(matrix-889, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem552(__eqx_0, __eqx_1) = skolem552(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-890, plain, ( ( __eqx_0 != __eqy_0) | ( skolem553(__eqx_0) = skolem553(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-891, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem554(__eqx_0, __eqx_1) = skolem554(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-892, plain, ( ( __eqx_0 != __eqy_0) | ( skolem555(__eqx_0) = skolem555(__eqy_0)) )).
% 20.36/20.59 cnf(matrix-893, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem556(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem556(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-894, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem557(__eqx_0, __eqx_1) = skolem557(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-895, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem558(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem558(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 20.36/20.59 cnf(matrix-896, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem559(__eqx_0, __eqx_1) = skolem559(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-897, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem560(__eqx_0, __eqx_1) = skolem560(__eqy_0, __eqy_1)) )).
% 20.36/20.59 cnf(matrix-898, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem561(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem561(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-899, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem562(__eqx_0, __eqx_1, __eqx_2) = skolem562(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-900, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem563(__eqx_0, __eqx_1, __eqx_2) = skolem563(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-901, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem564(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem564(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-902, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem565(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem565(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-903, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem566(__eqx_0, __eqx_1, __eqx_2) = skolem566(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-904, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem567(__eqx_0, __eqx_1, __eqx_2) = skolem567(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-905, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem568(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem568(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 20.36/20.59 cnf(matrix-906, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem569(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem569(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 20.36/20.59 cnf(matrix-907, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem570(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem570(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 20.36/20.59 cnf(matrix-908, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem571(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem571(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 20.36/20.59 cnf(matrix-909, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem572(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem572(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 20.36/20.59 cnf(matrix-910, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem573(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem573(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 20.36/20.59 cnf(matrix-911, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem574(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem574(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 20.36/20.59 cnf(matrix-912, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem575(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem575(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 20.36/20.59 cnf(matrix-913, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem576(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem576(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 20.36/20.59 cnf(matrix-914, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem577(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem577(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 20.36/20.59 cnf(matrix-915, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem578(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem578(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 20.36/20.59 cnf(matrix-916, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem579(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem579(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 20.36/20.59 cnf(matrix-917, 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) | ( skolem580(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem580(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 20.36/20.59 cnf(matrix-918, 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) | ( skolem581(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem581(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 20.36/20.59 cnf(matrix-919, 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) | ( skolem582(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem582(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 20.36/20.59 cnf(matrix-920, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem583(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem583(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 20.36/20.59 cnf(matrix-921, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem584(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem584(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-922, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem585(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem585(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 20.36/20.59 cnf(matrix-923, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem586(__eqx_0, __eqx_1, __eqx_2) = skolem586(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-924, 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) | ( skolem587(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem587(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 20.36/20.59 cnf(matrix-925, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem588(__eqx_0, __eqx_1, __eqx_2) = skolem588(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-926, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem589(__eqx_0, __eqx_1, __eqx_2) = skolem589(__eqy_0, __eqy_1, __eqy_2)) )).
% 20.36/20.59 cnf(matrix-927, 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) )).
% 20.36/20.59 cnf(matrix-928, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Obot(__eqx_0) | class_Orderings_Obot(__eqy_0) )).
% 20.36/20.59 cnf(matrix-929, plain, ( ( __eqx_0 != __eqy_0) | ~hBOOL(__eqx_0) | hBOOL(__eqy_0) )).
% 20.36/20.59 cnf(matrix-930, 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) )).
% 20.36/20.59 cnf(matrix-931, 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) )).
% 20.36/20.59 cnf(matrix-932, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Opreorder(__eqx_0) | class_Orderings_Opreorder(__eqy_0) )).
% 20.36/20.59 cnf(matrix-933, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Oord(__eqx_0) | class_Orderings_Oord(__eqy_0) )).
% 20.36/20.59 cnf(matrix-934, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Olinorder(__eqx_0) | class_Orderings_Olinorder(__eqy_0) )).
% 20.36/20.59 cnf(matrix-935, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Oorder(__eqx_0) | class_Orderings_Oorder(__eqy_0) )).
% 20.36/20.59 cnf(matrix-936, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Olattice(__eqx_0) | class_Lattices_Olattice(__eqy_0) )).
% 20.36/20.59 cnf(matrix-937, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Obounded__lattice__bot(__eqx_0) | class_Lattices_Obounded__lattice__bot(__eqy_0) )).
% 20.36/20.59 cnf(matrix-938, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Osemilattice__sup(__eqx_0) | class_Lattices_Osemilattice__sup(__eqy_0) )).
% 20.36/20.59 cnf(matrix-939, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ominus(__eqx_0) | class_Groups_Ominus(__eqy_0) )).
% 20.36/20.59 cnf(matrix-940, plain, ( ( __eqx_0 != __eqy_0) | ~class_Finite__Set_Ofinite(__eqx_0) | class_Finite__Set_Ofinite(__eqy_0) )).
% 20.36/20.59 cnf(matrix-941, 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) )).
% 20.36/20.59 cnf(matrix-942, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__group__add(__eqx_0) | class_Groups_Oordered__ab__group__add(__eqy_0) )).
% 20.36/20.59 cnf(matrix-943, 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) )).
% 20.36/20.59 cnf(matrix-944, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__group__add(__eqx_0) | class_Groups_Oab__group__add(__eqy_0) )).
% 20.36/20.59 cnf(matrix-945, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring(__eqx_0) | class_Rings_Oring(__eqy_0) )).
% 20.36/20.59 cnf(matrix-946, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__semigroup__mult(__eqx_0) | class_Groups_Oab__semigroup__mult(__eqy_0) )).
% 20.36/20.59 cnf(matrix-947, 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) )).
% 20.36/20.59 cnf(matrix-948, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Oab__semigroup__idem__mult(__eqx_0) | class_Lattices_Oab__semigroup__idem__mult(__eqy_0) )).
% 20.36/20.59 cnf(matrix-949, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Osemilattice__inf(__eqx_0) | class_Lattices_Osemilattice__inf(__eqy_0) )).
% 20.36/20.59 cnf(matrix-950, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Odistrib__lattice(__eqx_0) | class_Lattices_Odistrib__lattice(__eqy_0) )).
% 20.36/20.59 cnf(matrix-951, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocomm__monoid__add(__eqx_0) | class_Groups_Ocomm__monoid__add(__eqy_0) )).
% 20.36/20.59 cnf(matrix-952, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__cancel__ab__semigroup__add(__eqx_0) | class_Groups_Oordered__cancel__ab__semigroup__add(__eqy_0) )).
% 20.36/20.59 cnf(matrix-953, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocancel__semigroup__add(__eqx_0) | class_Groups_Ocancel__semigroup__add(__eqy_0) )).
% 20.36/20.59 cnf(matrix-954, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocancel__ab__semigroup__add(__eqx_0) | class_Groups_Ocancel__ab__semigroup__add(__eqy_0) )).
% 20.36/20.59 cnf(matrix-955, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__semigroup__add(__eqx_0) | class_Groups_Oab__semigroup__add(__eqy_0) )).
% 20.36/20.59 cnf(matrix-956, 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) )).
% 20.36/20.59 cnf(matrix-957, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__semigroup__add(__eqx_0) | class_Groups_Oordered__ab__semigroup__add(__eqy_0) )).
% 20.36/20.59 cnf(matrix-958, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ogroup__add(__eqx_0) | class_Groups_Ogroup__add(__eqy_0) )).
% 20.36/20.59 cnf(matrix-959, 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) )).
% 20.36/20.59 cnf(matrix-960, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__ring(__eqx_0) | class_Rings_Oordered__ring(__eqy_0) )).
% 20.36/20.59 cnf(matrix-961, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__semiring__1(__eqx_0) | class_Rings_Ocomm__semiring__1(__eqy_0) )).
% 20.36/20.59 cnf(matrix-962, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__idom(__eqx_0) | class_Rings_Olinordered__idom(__eqy_0) )).
% 20.36/20.59 cnf(matrix-963, 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) )).
% 20.36/20.59 cnf(matrix-964, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring(__eqx_0) | class_Rings_Osemiring(__eqy_0) )).
% 20.36/20.59 cnf(matrix-965, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__semiring(__eqx_0) | class_Rings_Ocomm__semiring(__eqy_0) )).
% 20.36/20.59 cnf(matrix-966, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocomm__monoid__mult(__eqx_0) | class_Groups_Ocomm__monoid__mult(__eqy_0) )).
% 20.36/20.59 cnf(matrix-967, 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) )).
% 20.36/20.59 cnf(matrix-968, 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) )).
% 20.36/20.59 cnf(matrix-969, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oone(__eqx_0) | class_Groups_Oone(__eqy_0) )).
% 20.36/20.59 cnf(matrix-970, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Omonoid__mult(__eqx_0) | class_Groups_Omonoid__mult(__eqy_0) )).
% 20.36/20.59 cnf(matrix-971, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semidom(__eqx_0) | class_Rings_Olinordered__semidom(__eqy_0) )).
% 20.36/20.59 cnf(matrix-972, 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) )).
% 20.36/20.59 cnf(matrix-973, plain, ( ( __eqx_0 != __eqy_0) | ~class_Complete__Lattice_Ocomplete__lattice(__eqx_0) | class_Complete__Lattice_Ocomplete__lattice(__eqy_0) )).
% 20.36/20.59 cnf(matrix-974, 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) )).
% 20.36/20.59 cnf(matrix-975, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__1__strict(__eqx_0) | class_Rings_Olinordered__semiring__1__strict(__eqy_0) )).
% 20.36/20.59 cnf(matrix-976, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ozero(__eqx_0) | class_Groups_Ozero(__eqy_0) )).
% 20.36/20.59 cnf(matrix-977, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Omonoid__add(__eqx_0) | class_Groups_Omonoid__add(__eqy_0) )).
% 20.36/20.59 cnf(matrix-978, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Olinordered__ab__group__add(__eqx_0) | class_Groups_Olinordered__ab__group__add(__eqy_0) )).
% 20.36/20.59 cnf(matrix-979, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ono__zero__divisors(__eqx_0) | class_Rings_Ono__zero__divisors(__eqy_0) )).
% 20.36/20.59 cnf(matrix-980, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__no__zero__divisors(__eqx_0) | class_Rings_Oring__no__zero__divisors(__eqy_0) )).
% 20.36/20.59 cnf(matrix-981, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Omult__zero(__eqx_0) | class_Rings_Omult__zero(__eqy_0) )).
% 20.36/20.59 cnf(matrix-982, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ozero__neq__one(__eqx_0) | class_Rings_Ozero__neq__one(__eqy_0) )).
% 20.36/20.59 cnf(matrix-983, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__comm__monoid__add(__eqx_0) | class_Groups_Oordered__comm__monoid__add(__eqy_0) )).
% 20.36/20.59 cnf(matrix-984, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__ring(__eqx_0) | class_Rings_Olinordered__ring(__eqy_0) )).
% 20.36/20.59 cnf(matrix-985, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__ring__strict(__eqx_0) | class_Rings_Olinordered__ring__strict(__eqy_0) )).
% 20.36/20.59 cnf(matrix-986, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__cancel__semiring(__eqx_0) | class_Rings_Oordered__cancel__semiring(__eqy_0) )).
% 20.36/20.59 cnf(matrix-987, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__semiring(__eqx_0) | class_Rings_Oordered__semiring(__eqy_0) )).
% 20.36/20.59 cnf(matrix-988, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__comm__semiring(__eqx_0) | class_Rings_Oordered__comm__semiring(__eqy_0) )).
% 20.36/20.59 cnf(matrix-989, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__comm__semiring__strict(__eqx_0) | class_Rings_Olinordered__comm__semiring__strict(__eqy_0) )).
% 20.36/20.59 cnf(matrix-990, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__strict(__eqx_0) | class_Rings_Olinordered__semiring__strict(__eqy_0) )).
% 20.36/20.59 cnf(matrix-991, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring(__eqx_0) | class_Rings_Olinordered__semiring(__eqy_0) )).
% 20.36/20.59 cnf(matrix-992, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__1(__eqx_0) | class_Rings_Olinordered__semiring__1(__eqy_0) )).
% 20.36/20.59 cnf(matrix-993, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Ofield(__eqx_0) | class_Fields_Ofield(__eqy_0) )).
% 20.36/20.59 cnf(matrix-994, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Odivision__ring(__eqx_0) | class_Rings_Odivision__ring(__eqy_0) )).
% 20.36/20.59 cnf(matrix-995, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Odivision__ring__inverse__zero(__eqx_0) | class_Rings_Odivision__ring__inverse__zero(__eqy_0) )).
% 20.36/20.59 cnf(matrix-996, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__1(__eqx_0) | class_Rings_Oring__1(__eqy_0) )).
% 20.36/20.59 cnf(matrix-997, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Oring__char__0(__eqx_0) | class_Int_Oring__char__0(__eqy_0) )).
% 20.36/20.59 cnf(matrix-998, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Olinordered__field__inverse__zero(__eqx_0) | class_Fields_Olinordered__field__inverse__zero(__eqy_0) )).
% 20.36/20.59 cnf(matrix-999, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Olinordered__field(__eqx_0) | class_Fields_Olinordered__field(__eqy_0) )).
% 20.36/20.59 cnf(matrix-1000, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Ofield__inverse__zero(__eqx_0) | class_Fields_Ofield__inverse__zero(__eqy_0) )).
% 20.36/20.59 cnf(matrix-1001, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Onumber__ring(__eqx_0) | class_Int_Onumber__ring(__eqy_0) )).
% 20.36/20.59 cnf(matrix-1002, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Onumber(__eqx_0) | class_Int_Onumber(__eqy_0) )).
% 20.36/20.59 cnf(matrix-1003, plain, ( ( __eqx_0 != __eqy_0) | ~class_Nat_Osemiring__char__0(__eqx_0) | class_Nat_Osemiring__char__0(__eqy_0) )).
% 20.36/20.59 cnf(matrix-1004, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring__1(__eqx_0) | class_Rings_Osemiring__1(__eqy_0) )).
% 20.36/20.59 cnf(matrix-1005, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__group__add__abs(__eqx_0) | class_Groups_Oordered__ab__group__add__abs(__eqy_0) )).
% 20.36/20.59 cnf(matrix-1006, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__ring__abs(__eqx_0) | class_Rings_Oordered__ring__abs(__eqy_0) )).
% 20.36/20.59 cnf(matrix-1007, plain, ( ( __eqx_0 != __eqy_0) | ~class_Divides_Osemiring__div(__eqx_0) | class_Divides_Osemiring__div(__eqy_0) )).
% 20.36/20.59 cnf(matrix-1008, plain, ( ( __eqx_0 != __eqy_0) | ~class_Divides_Oring__div(__eqx_0) | class_Divides_Oring__div(__eqy_0) )).
% 20.36/20.59 cnf(matrix-1009, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Oboolean__algebra(__eqx_0) | class_Lattices_Oboolean__algebra(__eqy_0) )).
% 20.36/20.59 cnf(matrix-1010, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ouminus(__eqx_0) | class_Groups_Ouminus(__eqy_0) )).
% 20.36/20.59 cnf(matrix-1011, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oidom(__eqx_0) | class_Rings_Oidom(__eqy_0) )).
% 20.36/20.59 cnf(matrix-1012, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__ring__1(__eqx_0) | class_Rings_Ocomm__ring__1(__eqy_0) )).
% 20.36/20.59 cnf(matrix-1013, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__1__no__zero__divisors(__eqx_0) | class_Rings_Oring__1__no__zero__divisors(__eqy_0) )).
% 20.36/20.59 cnf(matrix-1014, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oabs__if(__eqx_0) | class_Groups_Oabs__if(__eqy_0) )).
% 20.36/20.59 cnf(matrix-1015, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Int_Oiszero(__eqx_0, __eqx_1) | c_Int_Oiszero(__eqy_0, __eqy_1) )).
% 20.36/20.59 cnf(matrix-1016, 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) )).
% 20.36/20.59 cnf(matrix-1017, plain, ( ( __eqx_0 != __eqy_0) | ~class_Power_Opower(__eqx_0) | class_Power_Opower(__eqy_0) )).
% 20.36/20.59 cnf(matrix-1018, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring__0(__eqx_0) | class_Rings_Osemiring__0(__eqy_0) )).
% 20.36/20.59 cnf(matrix-1019, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Osgn__if(__eqx_0) | class_Groups_Osgn__if(__eqy_0) )).
% 20.36/20.59 cnf(matrix-1020, plain, ( ( __eqx_0 != __eqy_0) | ~c_Nat__Transfer_Ois__nat(__eqx_0) | c_Nat__Transfer_Ois__nat(__eqy_0) )).
% 20.36/20.59 cnf(matrix-1021, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Otop(__eqx_0) | class_Orderings_Otop(__eqy_0) )).
% 20.36/20.59 cnf(matrix-1022, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Obounded__lattice__top(__eqx_0) | class_Lattices_Obounded__lattice__top(__eqy_0) )).
% 20.36/20.59 cnf(matrix-1023, 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) )).
% 20.36/20.59 cnf(matrix-1024, 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) )).
% 20.36/20.59 cnf(matrix-1025, 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) )).
% 20.36/20.59 cnf(matrix-1026, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Relation_Oirrefl(__eqx_0, __eqx_1) | c_Relation_Oirrefl(__eqy_0, __eqy_1) )).
% 20.36/20.59 cnf(matrix-1027, 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) )).
% 20.36/20.59 cnf(matrix-1028, 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) )).
% 20.36/20.59 cnf(matrix-1029, 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) )).
% 20.36/20.59 cnf(matrix-1030, 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) )).
% 20.36/20.59 cnf(matrix-1031, 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) )).
% 20.36/20.59 cnf(matrix-1032, 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) )).
% 20.36/20.59 cnf(matrix-1033, plain, ( ( __eqx_0 != __eqy_0) | ~c_Nat__Transfer_Onat__set(__eqx_0) | c_Nat__Transfer_Onat__set(__eqy_0) )).
% 20.36/20.59 cnf(matrix-1034, 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) )).
% 20.36/20.59 cnf(matrix-1035, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Olinordered__ab__semigroup__add(__eqx_0) | class_Groups_Olinordered__ab__semigroup__add(__eqy_0) )).
% 20.36/20.59 cnf(matrix-1036, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Predicate_Oreflp(__eqx_0, __eqx_1) | c_Predicate_Oreflp(__eqy_0, __eqy_1) )).
% 20.36/20.59 cnf(matrix-1037, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Wellfounded_Owf(__eqx_0, __eqx_1) | c_Wellfounded_Owf(__eqy_0, __eqy_1) )).
% 20.36/20.59 cnf(matrix-1038, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Owellorder(__eqx_0) | class_Orderings_Owellorder(__eqy_0) )).
% 20.36/20.59 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) )).
% 20.36/20.59 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) )).
% 20.36/20.59 cnf(matrix-1041, 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) )).
% 20.36/20.59 cnf(matrix-1042, plain, ( ( __eqx_0 != __eqy_0) | ~c_Nitpick_Ounknown(__eqx_0) | c_Nitpick_Ounknown(__eqy_0) )).
% 20.36/20.59 cnf(matrix-1043, 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) )).
% 20.36/20.59 cnf(matrix-1044, 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) )).
% 20.36/20.59 cnf(matrix-1045, 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) )).
% 20.36/20.59 cnf(matrix-1046, 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) )).
% 20.36/20.59 cnf(matrix-1047, 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) )).
% 20.36/20.59 cnf(matrix-1048, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oinverse(__eqx_0) | class_Rings_Oinverse(__eqy_0) )).
% 20.36/20.59 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) )).
% 20.36/20.59 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) )).
% 20.36/20.59 cnf(matrix-1051, 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) )).
% 20.36/20.59 cnf(matrix-1052, plain, ( ( __eqx_0 != __eqy_0) | ~c_List_Onat__list(__eqx_0) | c_List_Onat__list(__eqy_0) )).
% 20.36/20.59 cnf(matrix-1053, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Osemigroup__add(__eqx_0) | class_Groups_Osemigroup__add(__eqy_0) )).
% 20.36/20.59 cnf(matrix-1054, 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) )).
% 20.36/20.59 cnf(matrix-1055, 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) )).
% 20.36/20.59 cnf(matrix-1056, plain, ( ( __eqx_0 != __eqy_0) | ~class_Enum_Oenum(__eqx_0) | class_Enum_Oenum(__eqy_0) )).
% 20.36/20.59 cnf(matrix-1057, 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) )).
% 20.36/20.59 cnf(matrix-1058, 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) )).
% 20.36/20.59 cnf(matrix-1059, 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) )).
% 20.36/20.59 cnf(matrix-1060, plain, ( ( __eqx_0 != __eqy_0) | ~class_Nat_Osize(__eqx_0) | class_Nat_Osize(__eqy_0) )).
% 20.36/20.59 cnf(matrix-1061, 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) )).
% 20.36/20.59 cnf(matrix-1062, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lazy__Sequence_Osmall__lazy(__eqx_0) | class_Lazy__Sequence_Osmall__lazy(__eqy_0) )).
% 20.36/20.59 cnf(matrix-1063, 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) )).
% 20.36/20.59 cnf(matrix-1064, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Relation_Otrans(__eqx_0, __eqx_1) | c_Relation_Otrans(__eqy_0, __eqy_1) )).
% 20.36/20.59 cnf(matrix-1065, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Predicate_Otransp(__eqx_0, __eqx_1) | c_Predicate_Otransp(__eqy_0, __eqy_1) )).
% 20.36/20.59 cnf(matrix-1066, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Predicate_Osymp(__eqx_0, __eqx_1) | c_Predicate_Osymp(__eqy_0, __eqy_1) )).
% 20.36/20.59 cnf(matrix-1067, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Relation_Oantisym(__eqx_0, __eqx_1) | c_Relation_Oantisym(__eqy_0, __eqy_1) )).
% 20.36/20.59 cnf(matrix-1068, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Relation_Osym(__eqx_0, __eqx_1) | c_Relation_Osym(__eqy_0, __eqy_1) )).
% 20.36/20.59 cnf(matrix-1069, 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) )).
% 20.36/20.59 cnf(matrix-1070, 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) )).
% 20.36/20.59 cnf(matrix-1071, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_List_Oall__interval__nat(__eqx_0, __eqx_1, __eqx_2) | c_List_Oall__interval__nat(__eqy_0, __eqy_1, __eqy_2) )).
% 20.36/20.59 cnf(matrix-1072, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Odvd(__eqx_0) | class_Rings_Odvd(__eqy_0) )).
% 20.36/20.59 cnf(matrix-1073, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__ring(__eqx_0) | class_Rings_Ocomm__ring(__eqy_0) )).
% 20.36/20.59 cnf(matrix-1074, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Obounded__lattice(__eqx_0) | class_Lattices_Obounded__lattice(__eqy_0) )).
% 20.36/20.59 cnf(matrix-1075, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~v_P(__eqx_0, __eqx_1) | v_P(__eqy_0, __eqy_1) )).
% 20.36/20.59 cnf(matrix-1076, plain, ( ( hAPP(_u1, skolem1(_u2, _u1)) != hAPP(_u2, skolem1(_u2, _u1))) | ( _u1 = _u2) )).
% 20.36/20.59 cnf(matrix-1077, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u3, _u4, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u3), tc_HOL_Obool))) )).
% 20.36/20.59 cnf(matrix-1078, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u5, _u6, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u5), tc_HOL_Obool))) )).
% 20.36/20.59 cnf(matrix-1079, 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) )).
% 20.36/20.59 cnf(matrix-1080, 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) )).
% 20.36/20.59 cnf(matrix-1081, 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) )).
% 20.36/20.59 cnf(matrix-1082, 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)) )).
% 20.36/20.59 cnf(matrix-1083, 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) )).
% 20.36/20.59 cnf(matrix-1084, 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)) )).
% 20.36/20.59 cnf(matrix-1085, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u36, _u37, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u36)), _u38), _u39)) | c_Hoare__Mirabelle_Ohoare__derivs(_u36, _u37, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u36)), _u38), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u36), tc_HOL_Obool)))) )).
% 20.36/20.59 cnf(matrix-1086, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u36, _u37, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u36)), _u38), _u39)) | c_Hoare__Mirabelle_Ohoare__derivs(_u36, _u37, _u39) )).
% 20.36/20.59 cnf(matrix-1087, plain, ( ( c_Hoare__Mirabelle_Otriple_Otriple__rec(_u40, _u41, _u42, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u40), _u43), _u44), _u45)) = hAPP(hAPP(hAPP(_u42, _u43), _u44), _u45)) )).
% 20.36/20.59 cnf(matrix-1088, plain, ( ( c_Hoare__Mirabelle_Otriple_Otriple__case(_u46, _u47, _u48, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u46), _u49), _u50), _u51)) = hAPP(hAPP(hAPP(_u48, _u49), _u50), _u51)) )).
% 20.36/20.59 cnf(matrix-1089, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u52, tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(_u52), _u53), _u54)) )).
% 20.36/20.59 cnf(matrix-1090, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u55), _u56), _u57) != c_Orderings_Obot__class_Obot(tc_fun(_u55, tc_HOL_Obool))) )).
% 20.36/20.59 cnf(matrix-1091, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u63), _u65), hAPP(hAPP(c_Set_Oinsert(_u63), _u67), c_Orderings_Obot__class_Obot(tc_fun(_u63, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u63), _u69), hAPP(hAPP(c_Set_Oinsert(_u63), _u71), c_Orderings_Obot__class_Obot(tc_fun(_u63, tc_HOL_Obool))))) | ( _u65 = _u69) | ( _u65 = _u71) )).
% 20.36/20.59 cnf(matrix-1092, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u63), _u65), hAPP(hAPP(c_Set_Oinsert(_u63), _u67), c_Orderings_Obot__class_Obot(tc_fun(_u63, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u63), _u69), hAPP(hAPP(c_Set_Oinsert(_u63), _u71), c_Orderings_Obot__class_Obot(tc_fun(_u63, tc_HOL_Obool))))) | ( _u65 = _u69) | ( _u67 = _u69) )).
% 20.36/20.59 cnf(matrix-1093, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u63), _u65), hAPP(hAPP(c_Set_Oinsert(_u63), _u67), c_Orderings_Obot__class_Obot(tc_fun(_u63, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u63), _u69), hAPP(hAPP(c_Set_Oinsert(_u63), _u71), c_Orderings_Obot__class_Obot(tc_fun(_u63, tc_HOL_Obool))))) | ( _u67 = _u71) | ( _u65 = _u71) )).
% 20.36/20.59 cnf(matrix-1094, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u63), _u65), hAPP(hAPP(c_Set_Oinsert(_u63), _u67), c_Orderings_Obot__class_Obot(tc_fun(_u63, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u63), _u69), hAPP(hAPP(c_Set_Oinsert(_u63), _u71), c_Orderings_Obot__class_Obot(tc_fun(_u63, tc_HOL_Obool))))) | ( _u67 = _u71) | ( _u67 = _u69) )).
% 20.36/20.59 cnf(matrix-1095, 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 != _u72) )).
% 20.36/20.59 cnf(matrix-1096, 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 != _u72) | ( _u68 != _u70) )).
% 20.36/20.59 cnf(matrix-1097, plain, ( ( _u74 = _u75) | ( hAPP(hAPP(c_Set_Oinsert(_u73), _u74), c_Orderings_Obot__class_Obot(tc_fun(_u73, tc_HOL_Obool))) != hAPP(hAPP(c_Set_Oinsert(_u73), _u75), c_Orderings_Obot__class_Obot(tc_fun(_u73, tc_HOL_Obool)))) )).
% 20.36/20.59 cnf(matrix-1098, plain, ( ~class_Orderings_Obot(_u76) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u77, _u76)), _u78) = c_Orderings_Obot__class_Obot(_u76)) )).
% 20.36/20.59 cnf(matrix-1099, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u79, _u80, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u79)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u79), _u81), c_Com_Ocom_OSKIP), _u81)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u79), tc_HOL_Obool)))) )).
% 20.36/20.59 cnf(matrix-1100, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u82, _u83, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u82)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u82), _u84), c_Com_Ocom_OSKIP), _u84)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u82), tc_HOL_Obool)))) )).
% 20.36/20.59 cnf(matrix-1101, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u87, _u88, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u87)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u87), _u89), _u90), _u91)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u87), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u87, _u88, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u87)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u87), _u89), _u90), _u92)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u87), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u91, skolem2(_u92, _u91, _u90, _u89, _u88, _u87)), skolem3(_u92, _u91, _u90, _u89, _u88, _u87))) )).
% 20.36/20.59 cnf(matrix-1102, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u87, _u88, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u87)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u87), _u89), _u90), _u91)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u87), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u87, _u88, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u87)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u87), _u89), _u90), _u92)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u87), tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(_u92, skolem2(_u92, _u91, _u90, _u89, _u88, _u87)), skolem3(_u92, _u91, _u90, _u89, _u88, _u87))) )).
% 20.36/20.59 cnf(matrix-1103, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u95, _u96, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u95)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u95), _u97), _u98), _u99)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u95), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u95, _u96, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u95)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u95), _u100), _u98), _u99)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u95), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u100, skolem4(_u100, _u99, _u98, _u97, _u96, _u95)), skolem5(_u100, _u99, _u98, _u97, _u96, _u95))) )).
% 20.36/20.59 cnf(matrix-1104, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u95, _u96, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u95)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u95), _u97), _u98), _u99)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u95), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u95, _u96, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u95)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u95), _u100), _u98), _u99)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u95), tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(_u97, skolem4(_u100, _u99, _u98, _u97, _u96, _u95)), skolem5(_u100, _u99, _u98, _u97, _u96, _u95))) )).
% 20.36/20.59 cnf(matrix-1105, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u101, _u102, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u101)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u101), _u103), _u104), _u105)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u101), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u101, _u102, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u101)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u101), _u105), _u106), _u107)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u101), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u101, _u102, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u101)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u101), _u103), c_Com_Ocom_OSemi(_u104, _u106)), _u107)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u101), tc_HOL_Obool)))) )).
% 20.36/20.59 cnf(matrix-1106, plain, ( ( _u114 = _u118) | hBOOL(hAPP(_u116, _u118)) | ~hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u112), _u114), _u116), _u118)) )).
% 20.36/20.59 cnf(matrix-1107, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u113), _u115), _u117), _u119)) | ( _u115 != _u119) )).
% 20.36/20.59 cnf(matrix-1108, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u113), _u115), _u117), _u119)) | ~hBOOL(hAPP(_u117, _u119)) )).
% 20.36/20.59 cnf(matrix-1109, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u120), _u121), hAPP(hAPP(c_Set_Oinsert(_u120), _u122), _u123)) = hAPP(hAPP(c_Set_Oinsert(_u120), _u122), hAPP(hAPP(c_Set_Oinsert(_u120), _u121), _u123))) )).
% 20.36/20.59 cnf(matrix-1110, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u124), _u125), hAPP(hAPP(c_Set_Oinsert(_u124), _u125), _u126)) = hAPP(hAPP(c_Set_Oinsert(_u124), _u125), _u126)) )).
% 20.36/20.59 cnf(matrix-1111, plain, ( ( c_Set_Othe__elem(_u127, hAPP(hAPP(c_Set_Oinsert(_u127), _u128), c_Orderings_Obot__class_Obot(tc_fun(_u127, tc_HOL_Obool)))) = _u128) )).
% 20.36/20.59 cnf(matrix-1112, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(_u129, _u130)) )).
% 20.36/20.59 cnf(matrix-1113, plain, ( ( c_Com_Ocom_OSemi(_u131, _u132) != c_Com_Ocom_OSKIP) )).
% 20.36/20.59 cnf(matrix-1114, plain, ( ( c_Com_Ocom_OSemi(_u137, _u139) != c_Com_Ocom_OSemi(_u141, _u143)) | ( _u137 = _u141) )).
% 20.36/20.59 cnf(matrix-1115, plain, ( ( c_Com_Ocom_OSemi(_u137, _u139) != c_Com_Ocom_OSemi(_u141, _u143)) | ( _u139 = _u143) )).
% 20.36/20.59 cnf(matrix-1116, plain, ( ( _u138 != _u142) | ( _u140 != _u144) | ( c_Com_Ocom_OSemi(_u138, _u140) = c_Com_Ocom_OSemi(_u142, _u144)) )).
% 20.36/20.59 cnf(matrix-1117, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u145, _u146, _u147) | c_Hoare__Mirabelle_Ohoare__valids(_u145, _u146, _u147) )).
% 20.36/20.59 cnf(matrix-1118, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u152, _u153, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u152)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u152), _u154), _u155), _u156)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u152), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u152, _u153, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u152)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u152), _u157), _u155), _u158)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u152), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u157, skolem6(_u158, _u157, _u156, _u155, _u154, _u153, _u152)), skolem7(_u158, _u157, _u156, _u155, _u154, _u153, _u152))) )).
% 20.36/20.59 cnf(matrix-1119, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u152, _u153, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u152)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u152), _u154), _u155), _u156)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u152), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u152, _u153, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u152)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u152), _u157), _u155), _u158)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u152), tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(_u154, _u148), skolem7(_u158, _u157, _u156, _u155, _u154, _u153, _u152))) | hBOOL(hAPP(hAPP(_u156, _u148), skolem8(_u158, _u157, _u156, _u155, _u154, _u153, _u152))) )).
% 20.36/20.59 cnf(matrix-1120, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u152, _u153, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u152)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u152), _u154), _u155), _u156)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u152), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u152, _u153, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u152)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u152), _u157), _u155), _u158)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u152), tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(_u158, skolem6(_u158, _u157, _u156, _u155, _u154, _u153, _u152)), skolem8(_u158, _u157, _u156, _u155, _u154, _u153, _u152))) )).
% 20.36/20.59 cnf(matrix-1121, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u159, tc_HOL_Obool)), _u160), hAPP(hAPP(c_Set_Oinsert(_u159), _u161), c_Orderings_Obot__class_Obot(tc_fun(_u159, tc_HOL_Obool))))) | ( _u160 = c_Orderings_Obot__class_Obot(tc_fun(_u159, tc_HOL_Obool))) | ( _u160 = hAPP(hAPP(c_Set_Oinsert(_u159), _u161), c_Orderings_Obot__class_Obot(tc_fun(_u159, tc_HOL_Obool)))) )).
% 20.36/20.59 cnf(matrix-1122, plain, ( ( _u163 = _u164) | ~hBOOL(hAPP(hAPP(c_member(_u162), _u163), hAPP(hAPP(c_Set_Oinsert(_u162), _u164), c_Orderings_Obot__class_Obot(tc_fun(_u162, tc_HOL_Obool))))) )).
% 20.36/20.59 cnf(matrix-1123, plain, ( ( _u170 = _u172) | ~hBOOL(hAPP(hAPP(c_member(_u168), _u170), hAPP(hAPP(c_Set_Oinsert(_u168), _u172), c_Orderings_Obot__class_Obot(tc_fun(_u168, tc_HOL_Obool))))) )).
% 20.36/20.59 cnf(matrix-1124, plain, ( ( _u171 != _u173) | hBOOL(hAPP(hAPP(c_member(_u169), _u171), hAPP(hAPP(c_Set_Oinsert(_u169), _u173), c_Orderings_Obot__class_Obot(tc_fun(_u169, tc_HOL_Obool))))) )).
% 20.36/20.59 cnf(matrix-1125, plain, ( ~c_Finite__Set_Ofolding__one(_u174, _u175, _u176) | ( hAPP(_u176, hAPP(hAPP(c_Set_Oinsert(_u174), _u177), c_Orderings_Obot__class_Obot(tc_fun(_u174, tc_HOL_Obool)))) = _u177) )).
% 20.36/20.59 cnf(matrix-1126, plain, ( ( _u186 = _u188) | ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u182, _u184, hAPP(hAPP(c_Set_Oinsert(_u182), _u186), c_Orderings_Obot__class_Obot(tc_fun(_u182, tc_HOL_Obool)))), _u188)) )).
% 20.36/20.59 cnf(matrix-1127, plain, ( ( _u187 != _u189) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u183, _u185, hAPP(hAPP(c_Set_Oinsert(_u183), _u187), c_Orderings_Obot__class_Obot(tc_fun(_u183, tc_HOL_Obool)))), _u189)) )).
% 20.36/20.59 cnf(matrix-1128, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u190), _u191), _u192) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u190, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u190), _u191), c_Orderings_Obot__class_Obot(tc_fun(_u190, tc_HOL_Obool)))), _u192)) )).
% 20.36/20.59 cnf(matrix-1129, plain, ( ~class_Orderings_Opreorder(_u193) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u193), _u194), _u194)) )).
% 20.36/20.59 cnf(matrix-1130, plain, ( ( _u195 != _u196) | hBOOL(hAPP(hAPP(c_member(_u197), _u198), _u195)) | ~hBOOL(hAPP(hAPP(c_member(_u197), _u198), _u196)) )).
% 20.36/20.59 cnf(matrix-1131, plain, ( ( _u195 != _u196) | hBOOL(hAPP(hAPP(c_member(_u197), _u198), _u196)) | ~hBOOL(hAPP(hAPP(c_member(_u197), _u198), _u195)) )).
% 20.36/20.59 cnf(matrix-1132, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u199, tc_HOL_Obool)), _u200), _u201)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u199, tc_HOL_Obool)), _u201), _u200)) | ( _u200 = _u201) )).
% 20.36/20.59 cnf(matrix-1133, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u202), _u203), c_Orderings_Obot__class_Obot(tc_fun(_u202, tc_HOL_Obool)))) )).
% 20.36/20.59 cnf(matrix-1134, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u204), _u205), hAPP(hAPP(c_Set_Oinsert(_u204), _u206), _u207))) | ( _u205 = _u206) | hBOOL(hAPP(hAPP(c_member(_u204), _u205), _u207)) )).
% 20.36/20.59 cnf(matrix-1135, plain, ( hBOOL(hAPP(hAPP(c_member(_u208), _u209), hAPP(hAPP(c_Set_Oinsert(_u208), _u211), _u210))) | ~hBOOL(hAPP(hAPP(c_member(_u208), _u209), _u210)) )).
% 20.36/20.59 cnf(matrix-1136, plain, ( hBOOL(hAPP(hAPP(c_member(_u208), _u209), hAPP(hAPP(c_Set_Oinsert(_u208), _u211), _u210))) | ( _u209 != _u211) )).
% 20.36/20.59 cnf(matrix-1137, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u212, tc_HOL_Obool)), _u213), _u214)) | ~hBOOL(hAPP(hAPP(c_member(_u212), _u215), _u213)) | hBOOL(hAPP(hAPP(c_member(_u212), _u215), _u214)) )).
% 20.36/20.59 cnf(matrix-1138, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u216), _u217), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u216, tc_HOL_Obool)), _u218), _u219))) | hBOOL(hAPP(hAPP(c_member(_u216), _u217), _u218)) | hBOOL(hAPP(hAPP(c_member(_u216), _u217), _u219)) )).
% 20.36/20.59 cnf(matrix-1139, plain, ( hBOOL(hAPP(hAPP(c_member(_u220), _u221), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u220, tc_HOL_Obool)), _u223), _u222))) | ~hBOOL(hAPP(hAPP(c_member(_u220), _u221), _u222)) )).
% 20.36/20.59 cnf(matrix-1140, plain, ( hBOOL(hAPP(hAPP(c_member(_u220), _u221), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u220, tc_HOL_Obool)), _u223), _u222))) | ~hBOOL(hAPP(hAPP(c_member(_u220), _u221), _u223)) )).
% 20.36/20.59 cnf(matrix-1141, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u224, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u224, tc_HOL_Obool))), _u225)) )).
% 20.36/20.59 cnf(matrix-1142, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u226, tc_HOL_Obool)), _u227), _u227)) )).
% 20.36/20.59 cnf(matrix-1143, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u228, tc_HOL_Obool)), _u229), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u228, tc_HOL_Obool)), _u229), _u230))) )).
% 20.36/20.59 cnf(matrix-1144, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u231, tc_HOL_Obool)), _u232), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u231, tc_HOL_Obool)), _u233), _u232))) )).
% 20.36/20.59 cnf(matrix-1145, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u234, tc_HOL_Obool)), _u235), _u235) = _u235) )).
% 20.36/20.59 cnf(matrix-1146, plain, ( ~class_Orderings_Oord(_u238) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u239, _u238)), _u240), _u241)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u238), hAPP(_u240, _u236)), hAPP(_u241, _u236))) )).
% 20.36/20.59 cnf(matrix-1147, plain, ( ~class_Orderings_Oord(_u238) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u238), hAPP(_u240, skolem9(_u241, _u240, _u239, _u238))), hAPP(_u241, skolem9(_u241, _u240, _u239, _u238)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u239, _u238)), _u240), _u241)) )).
% 20.36/20.59 cnf(matrix-1148, plain, ( hBOOL(hAPP(_u249, _u247)) | ~hBOOL(hAPP(hAPP(c_member(_u245), _u247), _u249)) )).
% 20.36/20.59 cnf(matrix-1149, plain, ( ~hBOOL(hAPP(_u250, _u248)) | hBOOL(hAPP(hAPP(c_member(_u246), _u248), _u250)) )).
% 20.36/20.59 cnf(matrix-1150, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u251, tc_HOL_Obool)), _u252), _u253) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u251, tc_HOL_Obool)), _u253), _u252)) )).
% 20.36/20.59 cnf(matrix-1151, plain, ( ~class_Orderings_Olinorder(_u254) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u254), _u255), _u256)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u254), _u256), _u255)) )).
% 20.36/20.59 cnf(matrix-1152, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u260, tc_HOL_Obool)), _u262), _u264)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u260, tc_HOL_Obool)), _u262), _u264) = _u264) )).
% 20.36/20.59 cnf(matrix-1153, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u261, tc_HOL_Obool)), _u263), _u265) != _u265) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u261, tc_HOL_Obool)), _u263), _u265)) )).
% 20.36/20.59 cnf(matrix-1154, plain, ( ( _u269 != _u271) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u273, tc_HOL_Obool)), _u269), _u271)) )).
% 20.36/20.59 cnf(matrix-1155, plain, ( ( _u269 != _u271) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u273, tc_HOL_Obool)), _u271), _u269)) )).
% 20.36/20.59 cnf(matrix-1156, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u274, tc_HOL_Obool)), _u270), _u272)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u274, tc_HOL_Obool)), _u272), _u270)) | ( _u270 = _u272) )).
% 20.36/20.59 cnf(matrix-1157, plain, ( ~class_Orderings_Oorder(_u275) | ( _u276 != _u277) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u275), _u276), _u277)) )).
% 20.36/20.59 cnf(matrix-1158, plain, ( ~class_Orderings_Oorder(_u275) | ( _u276 != _u277) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u275), _u277), _u276)) )).
% 20.36/20.59 cnf(matrix-1159, plain, ( ~class_Orderings_Oorder(_u275) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u275), _u276), _u277)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u275), _u277), _u276)) | ( _u276 = _u277) )).
% 20.36/20.59 cnf(matrix-1160, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u278, tc_HOL_Obool)), _u279), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u278, tc_HOL_Obool)), _u279), _u280)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u278, tc_HOL_Obool)), _u279), _u280)) )).
% 20.36/20.59 cnf(matrix-1161, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u281, tc_HOL_Obool)), _u282), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u281, tc_HOL_Obool)), _u283), _u284)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u281, tc_HOL_Obool)), _u283), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u281, tc_HOL_Obool)), _u282), _u284))) )).
% 20.36/20.59 cnf(matrix-1162, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u289), _u291), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u289, tc_HOL_Obool)), _u293), _u295))) | hBOOL(hAPP(hAPP(c_member(_u289), _u291), _u293)) | hBOOL(hAPP(hAPP(c_member(_u289), _u291), _u295)) )).
% 20.36/20.59 cnf(matrix-1163, plain, ( hBOOL(hAPP(hAPP(c_member(_u290), _u292), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u290, tc_HOL_Obool)), _u294), _u296))) | ~hBOOL(hAPP(hAPP(c_member(_u290), _u292), _u294)) )).
% 20.36/20.59 cnf(matrix-1164, plain, ( hBOOL(hAPP(hAPP(c_member(_u290), _u292), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u290, tc_HOL_Obool)), _u294), _u296))) | ~hBOOL(hAPP(hAPP(c_member(_u290), _u292), _u296)) )).
% 20.36/20.59 cnf(matrix-1165, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u297, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u297, tc_HOL_Obool)), _u298), _u299)), _u300) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u297, tc_HOL_Obool)), _u298), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u297, tc_HOL_Obool)), _u299), _u300))) )).
% 20.36/20.59 cnf(matrix-1166, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u311), _u301), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u311, tc_HOL_Obool)), _u313), _u315))) | ~hBOOL(hAPP(_u317, _u301)) | hBOOL(hAPP(hAPP(c_member(_u311), skolem10(_u317, _u315, _u313, _u311)), _u313)) | hBOOL(hAPP(hAPP(c_member(_u311), skolem11(_u317, _u315, _u313, _u311)), _u315)) )).
% 20.36/20.59 cnf(matrix-1167, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u311), _u301), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u311, tc_HOL_Obool)), _u313), _u315))) | ~hBOOL(hAPP(_u317, _u301)) | hBOOL(hAPP(hAPP(c_member(_u311), skolem10(_u317, _u315, _u313, _u311)), _u313)) | hBOOL(hAPP(_u317, skolem11(_u317, _u315, _u313, _u311))) )).
% 20.36/20.59 cnf(matrix-1168, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u311), _u301), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u311, tc_HOL_Obool)), _u313), _u315))) | ~hBOOL(hAPP(_u317, _u301)) | hBOOL(hAPP(_u317, skolem10(_u317, _u315, _u313, _u311))) | hBOOL(hAPP(hAPP(c_member(_u311), skolem11(_u317, _u315, _u313, _u311)), _u315)) )).
% 20.36/20.59 cnf(matrix-1169, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u311), _u301), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u311, tc_HOL_Obool)), _u313), _u315))) | ~hBOOL(hAPP(_u317, _u301)) | hBOOL(hAPP(_u317, skolem10(_u317, _u315, _u313, _u311))) | hBOOL(hAPP(_u317, skolem11(_u317, _u315, _u313, _u311))) )).
% 20.36/20.59 cnf(matrix-1170, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u312), _u304), _u314)) | ~hBOOL(hAPP(_u318, _u304)) | hBOOL(hAPP(hAPP(c_member(_u312), skolem12(_u318, _u316, _u314, _u312)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u312, tc_HOL_Obool)), _u314), _u316))) )).
% 20.36/20.59 cnf(matrix-1171, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u312), _u304), _u314)) | ~hBOOL(hAPP(_u318, _u304)) | hBOOL(hAPP(_u318, skolem12(_u318, _u316, _u314, _u312))) )).
% 20.36/20.59 cnf(matrix-1172, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u312), _u305), _u316)) | ~hBOOL(hAPP(_u318, _u305)) | hBOOL(hAPP(hAPP(c_member(_u312), skolem12(_u318, _u316, _u314, _u312)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u312, tc_HOL_Obool)), _u314), _u316))) )).
% 20.36/20.59 cnf(matrix-1173, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u312), _u305), _u316)) | ~hBOOL(hAPP(_u318, _u305)) | hBOOL(hAPP(_u318, skolem12(_u318, _u316, _u314, _u312))) )).
% 20.36/20.59 cnf(matrix-1174, plain, ( hBOOL(hAPP(hAPP(c_member(_u329), skolem13(_u335, _u333, _u331, _u329)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u329, tc_HOL_Obool)), _u331), _u333))) | ~hBOOL(hAPP(hAPP(c_member(_u329), _u320), _u331)) | hBOOL(hAPP(_u335, _u320)) )).
% 20.36/20.59 cnf(matrix-1175, plain, ( hBOOL(hAPP(hAPP(c_member(_u329), skolem13(_u335, _u333, _u331, _u329)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u329, tc_HOL_Obool)), _u331), _u333))) | ~hBOOL(hAPP(hAPP(c_member(_u329), _u321), _u333)) | hBOOL(hAPP(_u335, _u321)) )).
% 20.36/20.59 cnf(matrix-1176, plain, ( ~hBOOL(hAPP(_u335, skolem13(_u335, _u333, _u331, _u329))) | ~hBOOL(hAPP(hAPP(c_member(_u329), _u320), _u331)) | hBOOL(hAPP(_u335, _u320)) )).
% 20.36/20.59 cnf(matrix-1177, plain, ( ~hBOOL(hAPP(_u335, skolem13(_u335, _u333, _u331, _u329))) | ~hBOOL(hAPP(hAPP(c_member(_u329), _u321), _u333)) | hBOOL(hAPP(_u335, _u321)) )).
% 20.36/20.59 cnf(matrix-1178, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u330), _u324), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u330, tc_HOL_Obool)), _u332), _u334))) | hBOOL(hAPP(_u336, _u324)) | hBOOL(hAPP(hAPP(c_member(_u330), skolem14(_u336, _u334, _u332, _u330)), _u332)) | hBOOL(hAPP(hAPP(c_member(_u330), skolem15(_u336, _u334, _u332, _u330)), _u334)) )).
% 20.36/20.59 cnf(matrix-1179, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u330), _u324), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u330, tc_HOL_Obool)), _u332), _u334))) | hBOOL(hAPP(_u336, _u324)) | hBOOL(hAPP(hAPP(c_member(_u330), skolem14(_u336, _u334, _u332, _u330)), _u332)) | ~hBOOL(hAPP(_u336, skolem15(_u336, _u334, _u332, _u330))) )).
% 20.36/20.59 cnf(matrix-1180, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u330), _u324), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u330, tc_HOL_Obool)), _u332), _u334))) | hBOOL(hAPP(_u336, _u324)) | ~hBOOL(hAPP(_u336, skolem14(_u336, _u334, _u332, _u330))) | hBOOL(hAPP(hAPP(c_member(_u330), skolem15(_u336, _u334, _u332, _u330)), _u334)) )).
% 20.36/20.59 cnf(matrix-1181, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u330), _u324), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u330, tc_HOL_Obool)), _u332), _u334))) | hBOOL(hAPP(_u336, _u324)) | ~hBOOL(hAPP(_u336, skolem14(_u336, _u334, _u332, _u330))) | ~hBOOL(hAPP(_u336, skolem15(_u336, _u334, _u332, _u330))) )).
% 20.36/20.59 cnf(matrix-1182, plain, ( ( _u337 != _u338) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u339, tc_HOL_Obool)), _u337), _u338)) )).
% 20.36/20.59 cnf(matrix-1183, plain, ( ( _u340 != _u341) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u342, tc_HOL_Obool)), _u341), _u340)) )).
% 20.36/20.59 cnf(matrix-1184, plain, ( ~class_Orderings_Opreorder(_u343) | ( _u344 != _u345) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u343), _u344), _u345)) )).
% 20.36/20.59 cnf(matrix-1185, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u346), _u347), _u348)) | hBOOL(hAPP(hAPP(c_member(_u346), _u347), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u346, tc_HOL_Obool)), _u348), _u349))) )).
% 20.36/20.59 cnf(matrix-1186, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u350), _u351), _u352)) | hBOOL(hAPP(hAPP(c_member(_u350), _u351), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u350, tc_HOL_Obool)), _u353), _u352))) )).
% 20.36/20.59 cnf(matrix-1187, plain, ( ~class_Orderings_Oord(_u354) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u355, _u354)), _u356), _u357)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u354), hAPP(_u356, _u358)), hAPP(_u357, _u358))) )).
% 20.36/20.59 cnf(matrix-1188, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u359, tc_HOL_Obool)), _u360), _u361)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u359, tc_HOL_Obool)), _u360), _u361) = _u361) )).
% 20.36/20.59 cnf(matrix-1189, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u362, tc_HOL_Obool)), _u363), _u364)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u362, tc_HOL_Obool)), _u364), _u363) = _u364) )).
% 20.36/20.59 cnf(matrix-1190, plain, ( ( _u365 != _u366) | ~hBOOL(hAPP(hAPP(c_member(_u367), _u368), _u365)) | hBOOL(hAPP(hAPP(c_member(_u367), _u368), _u366)) )).
% 20.36/20.59 cnf(matrix-1191, plain, ( ( _u365 != _u366) | ~hBOOL(hAPP(hAPP(c_member(_u367), _u368), _u366)) | hBOOL(hAPP(hAPP(c_member(_u367), _u368), _u365)) )).
% 20.36/20.59 cnf(matrix-1192, plain, ( ( _u369 != _u370) | ~hBOOL(hAPP(hAPP(c_member(_u371), _u369), _u372)) | hBOOL(hAPP(hAPP(c_member(_u371), _u370), _u372)) )).
% 20.36/20.59 cnf(matrix-1193, plain, ( ( _u369 != _u370) | ~hBOOL(hAPP(hAPP(c_member(_u371), _u370), _u372)) | hBOOL(hAPP(hAPP(c_member(_u371), _u369), _u372)) )).
% 20.36/20.59 cnf(matrix-1194, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u373, tc_HOL_Obool)), _u374), _u375)) | ~hBOOL(hAPP(hAPP(c_member(_u373), _u376), _u374)) | hBOOL(hAPP(hAPP(c_member(_u373), _u376), _u375)) )).
% 20.36/20.59 cnf(matrix-1195, plain, ( ~class_Orderings_Oorder(_u377) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u377), _u378), _u379)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u377), _u379), _u378)) | ( _u379 = _u378) )).
% 20.36/20.59 cnf(matrix-1196, plain, ( ~class_Orderings_Oorder(_u377) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u377), _u378), _u379)) | ( _u379 != _u378) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u377), _u379), _u378)) )).
% 20.36/20.59 cnf(matrix-1197, plain, ( ( _u380 != _u381) | ~hBOOL(hAPP(hAPP(c_member(_u382), _u381), _u383)) | hBOOL(hAPP(hAPP(c_member(_u382), _u380), _u383)) )).
% 20.36/20.59 cnf(matrix-1198, plain, ( ~class_Orderings_Oord(_u384) | ( _u385 != _u386) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u384), _u386), _u387)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u384), _u385), _u387)) )).
% 20.36/20.59 cnf(matrix-1199, plain, ( ~class_Orderings_Oorder(_u388) | ( _u389 != _u390) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u388), _u391), _u390)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u388), _u391), _u389)) )).
% 20.36/20.59 cnf(matrix-1200, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u392), _u393), _u394)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u392, tc_HOL_Obool)), _u394), _u395)) | hBOOL(hAPP(hAPP(c_member(_u392), _u393), _u395)) )).
% 20.36/20.59 cnf(matrix-1201, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u396, tc_HOL_Obool)), _u397), _u398)) | ~hBOOL(hAPP(hAPP(c_member(_u396), _u399), _u397)) | hBOOL(hAPP(hAPP(c_member(_u396), _u399), _u398)) )).
% 20.36/20.59 cnf(matrix-1202, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u400, tc_HOL_Obool)), _u401), _u402)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u400, tc_HOL_Obool)), _u402), _u403)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u400, tc_HOL_Obool)), _u401), _u403)) )).
% 20.36/20.59 cnf(matrix-1203, plain, ( ~class_Orderings_Oord(_u404) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u404), _u405), _u406)) | ( _u406 != _u407) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u404), _u405), _u407)) )).
% 20.36/20.59 cnf(matrix-1204, plain, ( ~class_Orderings_Oorder(_u408) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u408), _u409), _u410)) | ( _u409 != _u411) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u408), _u411), _u410)) )).
% 20.36/20.59 cnf(matrix-1205, plain, ( ~class_Orderings_Oorder(_u412) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u412), _u413), _u414)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u412), _u414), _u413)) | ( _u413 = _u414) )).
% 20.36/20.59 cnf(matrix-1206, plain, ( ~class_Orderings_Opreorder(_u415) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u415), _u416), _u417)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u415), _u417), _u418)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u415), _u416), _u418)) )).
% 20.36/20.59 cnf(matrix-1207, plain, ( ~class_Orderings_Oorder(_u419) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u419), _u420), _u421)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u419), _u421), _u420)) | ( _u421 = _u420) )).
% 20.36/20.59 cnf(matrix-1208, plain, ( ~class_Orderings_Oorder(_u422) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u422), _u423), _u424)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u422), _u425), _u423)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u422), _u425), _u424)) )).
% 20.36/20.59 cnf(matrix-1209, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u426, tc_HOL_Obool)), _u427), _u428)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u426, tc_HOL_Obool)), _u429), _u428)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u426, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u426, tc_HOL_Obool)), _u427), _u429)), _u428)) )).
% 20.36/20.59 cnf(matrix-1210, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u430, tc_HOL_Obool)), _u431), _u432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u430, tc_HOL_Obool)), _u433), _u434)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u430, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u430, tc_HOL_Obool)), _u431), _u433)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u430, tc_HOL_Obool)), _u432), _u434))) )).
% 20.36/20.59 cnf(matrix-1211, plain, ( ( _u435 != _u436) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u437, tc_HOL_Obool)), _u435), _u436)) )).
% 20.36/20.59 cnf(matrix-1212, plain, ( ( _u435 != _u436) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u437, tc_HOL_Obool)), _u436), _u435)) )).
% 20.36/20.59 cnf(matrix-1213, plain, ( ~class_Orderings_Oord(_u438) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u439, _u438)), _u440), _u441)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u438), hAPP(_u440, _u442)), hAPP(_u441, _u442))) )).
% 20.36/20.59 cnf(matrix-1214, plain, ( ~class_Orderings_Olinorder(_u443) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u443), _u444), _u445)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u443), _u445), _u444)) )).
% 20.36/20.59 cnf(matrix-1215, plain, ( hBOOL(hAPP(hAPP(c_member(_u446), _u447), _u448)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u446, tc_HOL_Obool)), _u448), hAPP(hAPP(c_Set_Oinsert(_u446), _u447), _u449))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u446, tc_HOL_Obool)), _u448), _u449)) )).
% 20.36/20.60 cnf(matrix-1216, plain, ( hBOOL(hAPP(hAPP(c_member(_u446), _u447), _u448)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u446, tc_HOL_Obool)), _u448), _u449)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u446, tc_HOL_Obool)), _u448), hAPP(hAPP(c_Set_Oinsert(_u446), _u447), _u449))) )).
% 20.36/20.60 cnf(matrix-1217, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u454, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u454), _u456), _u458)), _u460)) | hBOOL(hAPP(hAPP(c_member(_u454), _u456), _u460)) )).
% 20.36/20.60 cnf(matrix-1218, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u454, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u454), _u456), _u458)), _u460)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u454, tc_HOL_Obool)), _u458), _u460)) )).
% 20.36/20.60 cnf(matrix-1219, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u455), _u457), _u461)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u455, tc_HOL_Obool)), _u459), _u461)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u455, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u455), _u457), _u459)), _u461)) )).
% 20.36/20.60 cnf(matrix-1220, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u462, _u463, c_Orderings_Obot__class_Obot(tc_fun(_u462, tc_HOL_Obool))), _u464)) )).
% 20.36/20.60 cnf(matrix-1221, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u465, _u466, _u467), _u468)) | ( _u467 != c_Orderings_Obot__class_Obot(tc_fun(_u465, tc_HOL_Obool))) )).
% 20.36/20.60 cnf(matrix-1222, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u469, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u469, tc_HOL_Obool))), _u470) = _u470) )).
% 20.36/20.60 cnf(matrix-1223, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u471, tc_HOL_Obool)), _u472), c_Orderings_Obot__class_Obot(tc_fun(_u471, tc_HOL_Obool))) = _u472) )).
% 20.36/20.60 cnf(matrix-1224, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u476, tc_HOL_Obool)), _u478), _u480) != c_Orderings_Obot__class_Obot(tc_fun(_u476, tc_HOL_Obool))) | ( _u478 = c_Orderings_Obot__class_Obot(tc_fun(_u476, tc_HOL_Obool))) )).
% 20.36/20.60 cnf(matrix-1225, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u476, tc_HOL_Obool)), _u478), _u480) != c_Orderings_Obot__class_Obot(tc_fun(_u476, tc_HOL_Obool))) | ( _u480 = c_Orderings_Obot__class_Obot(tc_fun(_u476, tc_HOL_Obool))) )).
% 20.36/20.60 cnf(matrix-1226, plain, ( ( _u479 != c_Orderings_Obot__class_Obot(tc_fun(_u477, tc_HOL_Obool))) | ( _u481 != c_Orderings_Obot__class_Obot(tc_fun(_u477, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u477, tc_HOL_Obool)), _u479), _u481) = c_Orderings_Obot__class_Obot(tc_fun(_u477, tc_HOL_Obool))) )).
% 20.36/20.60 cnf(matrix-1227, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u482, tc_HOL_Obool)), _u483), hAPP(hAPP(c_Set_Oinsert(_u482), _u484), _u485)) = hAPP(hAPP(c_Set_Oinsert(_u482), _u484), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u482, tc_HOL_Obool)), _u483), _u485))) )).
% 20.36/20.60 cnf(matrix-1228, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u486, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u486), _u487), _u488)), _u489) = hAPP(hAPP(c_Set_Oinsert(_u486), _u487), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u486, tc_HOL_Obool)), _u488), _u489))) )).
% 20.36/20.60 cnf(matrix-1229, plain, ( ~class_Orderings_Obot(_u490) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u490), c_Orderings_Obot__class_Obot(_u490)), _u491)) )).
% 20.36/20.60 cnf(matrix-1230, plain, ( hBOOL(hAPP(hAPP(c_member(_u496), skolem16(_u498, _u496)), _u498)) | ( _u498 = c_Orderings_Obot__class_Obot(tc_fun(_u496, tc_HOL_Obool))) )).
% 20.36/20.60 cnf(matrix-1231, plain, ( ( _u499 != c_Orderings_Obot__class_Obot(tc_fun(_u497, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u497), _u493), _u499)) )).
% 20.36/20.60 cnf(matrix-1232, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u504), _u500), _u506)) | ( _u506 != c_Orderings_Obot__class_Obot(tc_fun(_u504, tc_HOL_Obool))) )).
% 20.36/20.60 cnf(matrix-1233, plain, ( ( _u507 = c_Orderings_Obot__class_Obot(tc_fun(_u505, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u505), skolem17(_u507, _u505)), _u507)) )).
% 20.36/20.60 cnf(matrix-1234, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u508), _u509), c_Orderings_Obot__class_Obot(tc_fun(_u508, tc_HOL_Obool)))) )).
% 20.36/20.60 cnf(matrix-1235, plain, ( ( _u510 != c_Orderings_Obot__class_Obot(tc_fun(_u511, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u511), _u512), _u510)) )).
% 20.36/20.60 cnf(matrix-1236, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u515, tc_HOL_Obool)), _u517), c_Orderings_Obot__class_Obot(tc_fun(_u515, tc_HOL_Obool)))) | ( _u517 = c_Orderings_Obot__class_Obot(tc_fun(_u515, tc_HOL_Obool))) )).
% 20.36/20.60 cnf(matrix-1237, plain, ( ( _u518 != c_Orderings_Obot__class_Obot(tc_fun(_u516, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u516, tc_HOL_Obool)), _u518), c_Orderings_Obot__class_Obot(tc_fun(_u516, tc_HOL_Obool)))) )).
% 20.36/20.60 cnf(matrix-1238, plain, ( hBOOL(hAPP(hAPP(c_member(_u519), _u520), hAPP(hAPP(c_Set_Oinsert(_u519), _u520), _u521))) )).
% 20.36/20.60 cnf(matrix-1239, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u526), _u528), hAPP(hAPP(c_Set_Oinsert(_u526), _u530), _u532))) | ( _u528 = _u530) | hBOOL(hAPP(hAPP(c_member(_u526), _u528), _u532)) )).
% 20.36/20.60 cnf(matrix-1240, plain, ( hBOOL(hAPP(hAPP(c_member(_u527), _u529), hAPP(hAPP(c_Set_Oinsert(_u527), _u531), _u533))) | ( _u529 != _u531) )).
% 20.36/20.60 cnf(matrix-1241, plain, ( hBOOL(hAPP(hAPP(c_member(_u527), _u529), hAPP(hAPP(c_Set_Oinsert(_u527), _u531), _u533))) | ~hBOOL(hAPP(hAPP(c_member(_u527), _u529), _u533)) )).
% 20.36/20.60 cnf(matrix-1242, plain, ( hBOOL(hAPP(hAPP(c_member(_u534), _u535), _u536)) | hBOOL(hAPP(hAPP(c_member(_u534), _u535), _u537)) | ( hAPP(hAPP(c_Set_Oinsert(_u534), _u535), _u536) != hAPP(hAPP(c_Set_Oinsert(_u534), _u535), _u537)) | ( _u536 = _u537) )).
% 20.36/20.60 cnf(matrix-1243, plain, ( hBOOL(hAPP(hAPP(c_member(_u534), _u535), _u536)) | hBOOL(hAPP(hAPP(c_member(_u534), _u535), _u537)) | ( _u536 != _u537) | ( hAPP(hAPP(c_Set_Oinsert(_u534), _u535), _u536) = hAPP(hAPP(c_Set_Oinsert(_u534), _u535), _u537)) )).
% 20.36/20.60 cnf(matrix-1244, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u538), _u539), _u540)) | hBOOL(hAPP(hAPP(c_member(_u538), _u539), hAPP(hAPP(c_Set_Oinsert(_u538), _u541), _u540))) )).
% 20.36/20.60 cnf(matrix-1245, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u542), _u543), _u544)) | ( hAPP(hAPP(c_Set_Oinsert(_u542), _u543), _u544) = _u544) )).
% 20.36/20.60 cnf(matrix-1246, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u545, tc_HOL_Obool)), _u546), hAPP(hAPP(c_Set_Oinsert(_u545), _u547), _u546))) )).
% 20.36/20.60 cnf(matrix-1247, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u548, tc_HOL_Obool)), _u549), _u550)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u548, tc_HOL_Obool)), _u549), hAPP(hAPP(c_Set_Oinsert(_u548), _u551), _u550))) )).
% 20.36/20.60 cnf(matrix-1248, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u552, tc_HOL_Obool)), _u553), _u554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u552, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u552), _u555), _u553)), hAPP(hAPP(c_Set_Oinsert(_u552), _u555), _u554))) )).
% 20.36/20.60 cnf(matrix-1249, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u556), tc_HOL_Obool)), _u557), _u558)) | c_Hoare__Mirabelle_Ohoare__derivs(_u556, _u558, _u557) )).
% 20.36/20.60 cnf(matrix-1250, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u559, _u560, _u561) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u559), tc_HOL_Obool)), _u562), _u561)) | c_Hoare__Mirabelle_Ohoare__derivs(_u559, _u560, _u562) )).
% 20.36/20.60 cnf(matrix-1251, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u563, _u564, _u565) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u563), tc_HOL_Obool)), _u564), _u566)) | c_Hoare__Mirabelle_Ohoare__derivs(_u563, _u566, _u565) )).
% 20.36/20.60 cnf(matrix-1252, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u570, tc_HOL_Obool)), _u569), _u567), _u568)) | ~hBOOL(hAPP(_u567, _u568)) )).
% 20.36/20.60 cnf(matrix-1253, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u570, tc_HOL_Obool)), _u569), _u567), _u568)) | ~hBOOL(hAPP(_u569, _u568)) )).
% 20.36/20.60 cnf(matrix-1254, plain, ( hBOOL(hAPP(_u572, _u574)) | hBOOL(hAPP(_u573, _u574)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u571, tc_HOL_Obool)), _u572), _u573), _u574)) )).
% 20.36/20.60 cnf(matrix-1255, plain, ( ~class_Lattices_Olattice(_u575) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u576, _u575)), _u577), _u578), _u579) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u575), hAPP(_u577, _u579)), hAPP(_u578, _u579))) )).
% 20.36/20.60 cnf(matrix-1256, plain, ( ~class_Lattices_Obounded__lattice__bot(_u580) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u580), c_Orderings_Obot__class_Obot(_u580)), _u581) = _u581) )).
% 20.36/20.60 cnf(matrix-1257, plain, ( ~class_Lattices_Obounded__lattice__bot(_u582) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u582), _u583), c_Orderings_Obot__class_Obot(_u582)) = _u583) )).
% 20.36/20.60 cnf(matrix-1258, plain, ( ~class_Lattices_Obounded__lattice__bot(_u584) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u584), _u585), _u586) != c_Orderings_Obot__class_Obot(_u584)) | ( _u585 = c_Orderings_Obot__class_Obot(_u584)) )).
% 20.36/20.60 cnf(matrix-1259, plain, ( ~class_Lattices_Obounded__lattice__bot(_u584) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u584), _u585), _u586) != c_Orderings_Obot__class_Obot(_u584)) | ( _u586 = c_Orderings_Obot__class_Obot(_u584)) )).
% 20.36/20.60 cnf(matrix-1260, plain, ( ~class_Lattices_Obounded__lattice__bot(_u584) | ( _u585 != c_Orderings_Obot__class_Obot(_u584)) | ( _u586 != c_Orderings_Obot__class_Obot(_u584)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u584), _u585), _u586) = c_Orderings_Obot__class_Obot(_u584)) )).
% 20.36/20.60 cnf(matrix-1261, plain, ( ~class_Lattices_Osemilattice__sup(_u587) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u587), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u587), _u588), _u589)), _u590)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u587), _u588), _u590)) )).
% 20.36/20.60 cnf(matrix-1262, plain, ( ~class_Lattices_Osemilattice__sup(_u587) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u587), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u587), _u588), _u589)), _u590)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u587), _u589), _u590)) )).
% 20.36/20.60 cnf(matrix-1263, plain, ( ~class_Lattices_Osemilattice__sup(_u591) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u591), _u592), _u593)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u591), _u594), _u595)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u591), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u591), _u592), _u594)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u591), _u593), _u595))) )).
% 20.36/20.60 cnf(matrix-1264, plain, ( ~class_Lattices_Osemilattice__sup(_u596) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u596), _u597), _u598)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u596), _u599), _u598)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u596), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u596), _u597), _u599)), _u598)) )).
% 20.36/20.60 cnf(matrix-1265, plain, ( ~class_Lattices_Osemilattice__sup(_u600) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u600), _u601), _u602)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u600), _u603), _u602)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u600), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u600), _u601), _u603)), _u602)) )).
% 20.36/20.60 cnf(matrix-1266, plain, ( ~class_Lattices_Osemilattice__sup(_u604) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u604), _u605), _u606)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u604), _u606), _u605) = _u606) )).
% 20.36/20.60 cnf(matrix-1267, plain, ( ~class_Lattices_Osemilattice__sup(_u607) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u607), _u608), _u609)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u607), _u608), _u609) = _u609) )).
% 20.36/20.60 cnf(matrix-1268, plain, ( ( _u615 = _u617) | ~hBOOL(hAPP(hAPP(c_member(_u613), _u615), hAPP(c_fequal, _u617))) )).
% 20.36/20.60 cnf(matrix-1269, plain, ( ( _u616 != _u618) | hBOOL(hAPP(hAPP(c_member(_u614), _u616), hAPP(c_fequal, _u618))) )).
% 20.36/20.60 cnf(matrix-1270, plain, ( ~class_Lattices_Osemilattice__sup(_u619) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u619), _u620), _u620) = _u620) )).
% 20.36/20.60 cnf(matrix-1271, plain, ( ~class_Lattices_Osemilattice__sup(_u621) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u621), _u622), _u622) = _u622) )).
% 20.36/20.60 cnf(matrix-1272, plain, ( ~class_Lattices_Osemilattice__sup(_u623) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u623), _u624), _u625) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u623), _u625), _u624)) )).
% 20.36/20.60 cnf(matrix-1273, plain, ( ~class_Lattices_Olattice(_u626) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u626), _u627), _u628) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u626), _u628), _u627)) )).
% 20.36/20.60 cnf(matrix-1274, plain, ( ~class_Lattices_Osemilattice__sup(_u629) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u629), _u630), _u631) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u629), _u631), _u630)) )).
% 20.36/20.60 cnf(matrix-1275, plain, ( ~class_Lattices_Osemilattice__sup(_u632) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u632), _u633), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u632), _u633), _u634)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u632), _u633), _u634)) )).
% 20.36/20.60 cnf(matrix-1276, plain, ( ~class_Lattices_Olattice(_u635) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u635), _u636), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u635), _u636), _u637)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u635), _u636), _u637)) )).
% 20.36/20.60 cnf(matrix-1277, plain, ( ~class_Lattices_Osemilattice__sup(_u638) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u638), _u639), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u638), _u639), _u640)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u638), _u639), _u640)) )).
% 20.36/20.60 cnf(matrix-1278, plain, ( ~class_Lattices_Osemilattice__sup(_u641) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u641), _u642), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u641), _u643), _u644)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u641), _u643), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u641), _u642), _u644))) )).
% 20.36/20.60 cnf(matrix-1279, plain, ( ~class_Lattices_Olattice(_u645) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u645), _u646), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u645), _u647), _u648)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u645), _u647), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u645), _u646), _u648))) )).
% 20.36/20.60 cnf(matrix-1280, plain, ( ~class_Lattices_Osemilattice__sup(_u649) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u649), _u650), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u649), _u651), _u652)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u649), _u651), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u649), _u650), _u652))) )).
% 20.36/20.60 cnf(matrix-1281, plain, ( ~class_Lattices_Osemilattice__sup(_u653) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u653), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u653), _u654), _u655)), _u656) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u653), _u654), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u653), _u655), _u656))) )).
% 20.36/20.60 cnf(matrix-1282, plain, ( ~class_Lattices_Olattice(_u657) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u657), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u657), _u658), _u659)), _u660) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u657), _u658), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u657), _u659), _u660))) )).
% 20.36/20.60 cnf(matrix-1283, plain, ( ~class_Lattices_Osemilattice__sup(_u661) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u661), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u661), _u662), _u663)), _u664) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u661), _u662), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u661), _u663), _u664))) )).
% 20.36/20.60 cnf(matrix-1284, plain, ( ~hBOOL(hAPP(_u665, _u666)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u667, tc_HOL_Obool)), _u665), _u668)) | hBOOL(hAPP(_u668, _u666)) )).
% 20.36/20.60 cnf(matrix-1285, plain, ( ~hBOOL(hAPP(_u670, _u672)) | hBOOL(hAPP(_u671, _u672)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u669, tc_HOL_Obool)), _u670), _u671)) )).
% 20.36/20.60 cnf(matrix-1286, plain, ( ~hBOOL(hAPP(_u673, _u674)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u675, tc_HOL_Obool)), _u673), _u676), _u674)) )).
% 20.36/20.60 cnf(matrix-1287, plain, ( ~hBOOL(hAPP(_u677, _u678)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u679, tc_HOL_Obool)), _u680), _u677), _u678)) )).
% 20.36/20.60 cnf(matrix-1288, plain, ( ~class_Lattices_Olattice(_u681) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u681), _u682), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u681), _u682), _u683))) )).
% 20.36/20.60 cnf(matrix-1289, plain, ( ~class_Lattices_Osemilattice__sup(_u684) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u684), _u685), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u684), _u685), _u686))) )).
% 20.36/20.60 cnf(matrix-1290, plain, ( ~class_Lattices_Olattice(_u687) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u687), _u688), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u687), _u689), _u688))) )).
% 20.36/20.60 cnf(matrix-1291, plain, ( ~class_Lattices_Osemilattice__sup(_u690) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u690), _u691), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u690), _u692), _u691))) )).
% 20.36/20.60 cnf(matrix-1292, plain, ( ~class_Lattices_Osemilattice__sup(_u693) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u693), _u694), _u695)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u693), _u694), _u695) = _u695) )).
% 20.36/20.60 cnf(matrix-1293, plain, ( ~class_Lattices_Osemilattice__sup(_u693) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u693), _u694), _u695) != _u695) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u693), _u694), _u695)) )).
% 20.36/20.60 cnf(matrix-1294, plain, ( ~class_Lattices_Osemilattice__sup(_u696) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u696), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u696), _u697), _u698)), _u699)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u696), _u697), _u699)) )).
% 20.36/20.60 cnf(matrix-1295, plain, ( ~class_Lattices_Osemilattice__sup(_u696) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u696), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u696), _u697), _u698)), _u699)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u696), _u698), _u699)) )).
% 20.36/20.60 cnf(matrix-1296, plain, ( ~class_Lattices_Osemilattice__sup(_u696) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u696), _u697), _u699)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u696), _u698), _u699)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u696), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u696), _u697), _u698)), _u699)) )).
% 20.36/20.60 cnf(matrix-1297, plain, ( ~class_Lattices_Osemilattice__sup(_u700) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u700), _u701), _u702)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u700), _u701), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u700), _u702), _u703))) )).
% 20.36/20.60 cnf(matrix-1298, plain, ( ~class_Lattices_Osemilattice__sup(_u704) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u704), _u705), _u706)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u704), _u705), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u704), _u707), _u706))) )).
% 20.36/20.60 cnf(matrix-1299, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u708, _u708, _u709, _u710, _u711), _u712)) | hBOOL(hAPP(hAPP(c_member(_u708), _u710), _u711)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u708, _u709, hAPP(hAPP(c_Set_Oinsert(_u708), _u710), _u711)), _u712)) )).
% 20.36/20.60 cnf(matrix-1300, plain, ( ~c_Finite__Set_Ofolding__one(_u713, _u714, _u715) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u713), _u716)) | hBOOL(hAPP(hAPP(c_member(_u713), _u717), _u716)) | ( _u716 = c_Orderings_Obot__class_Obot(tc_fun(_u713, tc_HOL_Obool))) | ( hAPP(_u715, hAPP(hAPP(c_Set_Oinsert(_u713), _u717), _u716)) = hAPP(hAPP(_u714, _u717), hAPP(_u715, _u716))) )).
% 20.36/20.60 cnf(matrix-1301, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u718, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u718, tc_HOL_Obool)), _u719), hAPP(hAPP(c_Set_Oinsert(_u718), _u720), c_Orderings_Obot__class_Obot(tc_fun(_u718, tc_HOL_Obool))))), _u721)) | ~hBOOL(hAPP(hAPP(c_member(_u718), _u720), _u719)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u718, tc_HOL_Obool)), _u719), hAPP(hAPP(c_Set_Oinsert(_u718), _u720), _u721))) )).
% 20.36/20.60 cnf(matrix-1302, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u726, tc_HOL_Obool)), _u728), hAPP(hAPP(c_Set_Oinsert(_u726), _u730), _u732))) | ~hBOOL(hAPP(hAPP(c_member(_u726), _u730), _u728)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u726, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u726, tc_HOL_Obool)), _u728), hAPP(hAPP(c_Set_Oinsert(_u726), _u730), c_Orderings_Obot__class_Obot(tc_fun(_u726, tc_HOL_Obool))))), _u732)) )).
% 20.36/20.60 cnf(matrix-1303, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u726, tc_HOL_Obool)), _u728), hAPP(hAPP(c_Set_Oinsert(_u726), _u730), _u732))) | hBOOL(hAPP(hAPP(c_member(_u726), _u730), _u728)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u726, tc_HOL_Obool)), _u728), _u732)) )).
% 20.36/20.60 cnf(matrix-1304, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u727, tc_HOL_Obool)), _u729), hAPP(hAPP(c_Set_Oinsert(_u727), _u731), _u733))) | hBOOL(hAPP(hAPP(c_member(_u727), _u731), _u729)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u727, tc_HOL_Obool)), _u729), _u733)) )).
% 20.36/20.60 cnf(matrix-1305, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u727, tc_HOL_Obool)), _u729), hAPP(hAPP(c_Set_Oinsert(_u727), _u731), _u733))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u727, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u727, tc_HOL_Obool)), _u729), hAPP(hAPP(c_Set_Oinsert(_u727), _u731), c_Orderings_Obot__class_Obot(tc_fun(_u727, tc_HOL_Obool))))), _u733)) | ~hBOOL(hAPP(hAPP(c_member(_u727), _u731), _u729)) )).
% 20.36/20.60 cnf(matrix-1306, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u727, tc_HOL_Obool)), _u729), hAPP(hAPP(c_Set_Oinsert(_u727), _u731), _u733))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u727, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u727, tc_HOL_Obool)), _u729), hAPP(hAPP(c_Set_Oinsert(_u727), _u731), c_Orderings_Obot__class_Obot(tc_fun(_u727, tc_HOL_Obool))))), _u733)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u727, tc_HOL_Obool)), _u729), _u733)) )).
% 20.36/20.60 cnf(matrix-1307, plain, ( ( _u740 = c_Orderings_Obot__class_Obot(tc_fun(_u742, tc_HOL_Obool))) | ( _u740 = hAPP(hAPP(c_Set_Oinsert(_u742), skolem18(_u742, _u740)), skolem19(_u742, _u740))) )).
% 20.36/20.60 cnf(matrix-1308, plain, ( ( _u740 = c_Orderings_Obot__class_Obot(tc_fun(_u742, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u742), skolem18(_u742, _u740)), skolem19(_u742, _u740))) )).
% 20.36/20.60 cnf(matrix-1309, plain, ( ( _u741 != hAPP(hAPP(c_Set_Oinsert(_u743), _u737), _u736)) | hBOOL(hAPP(hAPP(c_member(_u743), _u737), _u736)) | ( _u741 != c_Orderings_Obot__class_Obot(tc_fun(_u743, tc_HOL_Obool))) )).
% 20.36/20.60 cnf(matrix-1310, plain, ( ~class_Lattices_Olattice(_u744) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u744), _u745), _u745) = _u745) )).
% 20.36/20.60 cnf(matrix-1311, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u746, tc_HOL_Obool)), _u747), _u748)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u746, tc_HOL_Obool), tc_HOL_Obool)), c_Predicate_OPowp(_u746, _u747)), c_Predicate_OPowp(_u746, _u748))) )).
% 20.36/20.60 cnf(matrix-1312, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u750, tc_HOL_Obool)), _u751), _u752)) | hBOOL(hAPP(hAPP(c_member(_u750), skolem20(_u752, _u751, _u750)), _u751)) )).
% 20.36/20.60 cnf(matrix-1313, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u750, tc_HOL_Obool)), _u751), _u752)) | ~hBOOL(hAPP(hAPP(c_member(_u750), skolem20(_u752, _u751, _u750)), _u752)) )).
% 20.36/20.60 cnf(matrix-1314, plain, ( ( hAPP(c_Set_Ovimage(_u753, _u754, _u755), hAPP(hAPP(c_Set_Oinsert(_u754), _u756), _u757)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u753, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u753, _u754, _u755), hAPP(hAPP(c_Set_Oinsert(_u754), _u756), c_Orderings_Obot__class_Obot(tc_fun(_u754, tc_HOL_Obool))))), hAPP(c_Set_Ovimage(_u753, _u754, _u755), _u757))) )).
% 20.36/20.60 cnf(matrix-1315, plain, ( ( hAPP(_u769, _u765) = _u771) | ~hBOOL(hAPP(hAPP(c_member(_u763), _u765), hAPP(c_Set_Ovimage(_u763, _u767, _u769), hAPP(hAPP(c_Set_Oinsert(_u767), _u771), c_Orderings_Obot__class_Obot(tc_fun(_u767, tc_HOL_Obool)))))) )).
% 20.36/20.60 cnf(matrix-1316, plain, ( ( hAPP(_u770, _u766) != _u772) | hBOOL(hAPP(hAPP(c_member(_u764), _u766), hAPP(c_Set_Ovimage(_u764, _u768, _u770), hAPP(hAPP(c_Set_Oinsert(_u768), _u772), c_Orderings_Obot__class_Obot(tc_fun(_u768, tc_HOL_Obool)))))) )).
% 20.36/20.60 cnf(matrix-1317, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u773), _u774), _u775)) | ( hAPP(hAPP(c_Set_Oinsert(_u773), _u774), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u773, tc_HOL_Obool)), _u775), hAPP(hAPP(c_Set_Oinsert(_u773), _u774), c_Orderings_Obot__class_Obot(tc_fun(_u773, tc_HOL_Obool))))) = _u775) )).
% 20.36/20.60 cnf(matrix-1318, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u776), c_Orderings_Obot__class_Obot(tc_fun(_u776, tc_HOL_Obool)))) )).
% 20.36/20.60 cnf(matrix-1319, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u777), _u778)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u777), hAPP(hAPP(c_Set_Oinsert(_u777), _u779), _u778))) )).
% 20.36/20.60 cnf(matrix-1320, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u780), _u781), _u782)) | hBOOL(hAPP(hAPP(c_member(_u780), _u781), _u783)) | hBOOL(hAPP(hAPP(c_member(_u780), _u781), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u780, tc_HOL_Obool)), _u782), _u783))) )).
% 20.36/20.60 cnf(matrix-1321, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u784), _u785), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u784, tc_HOL_Obool)), _u786), _u787))) | hBOOL(hAPP(hAPP(c_member(_u784), _u785), _u786)) )).
% 20.36/20.60 cnf(matrix-1322, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u784), _u785), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u784, tc_HOL_Obool)), _u786), _u787))) | ~hBOOL(hAPP(hAPP(c_member(_u784), _u785), _u787)) )).
% 20.36/20.60 cnf(matrix-1323, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u788), _u789)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u788), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u788, tc_HOL_Obool)), _u789), _u790))) )).
% 20.36/20.60 cnf(matrix-1324, plain, ( ( hAPP(_u791, _u792) != _u793) | ~hBOOL(hAPP(hAPP(c_member(_u794), _u793), _u795)) | hBOOL(hAPP(hAPP(c_member(_u796), _u792), hAPP(c_Set_Ovimage(_u796, _u794, _u791), _u795))) )).
% 20.36/20.60 cnf(matrix-1325, plain, ( ~class_Groups_Ominus(_u797) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u798, _u797)), _u799), _u800), _u801) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u797), hAPP(_u799, _u801)), hAPP(_u800, _u801))) )).
% 20.36/20.60 cnf(matrix-1326, plain, ( ( hAPP(c_Set_Ovimage(_u802, _u803, _u804), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u803, tc_HOL_Obool)), _u805), _u806)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u802, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u802, _u803, _u804), _u805)), hAPP(c_Set_Ovimage(_u802, _u803, _u804), _u806))) )).
% 20.36/20.60 cnf(matrix-1327, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u807, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u807, tc_HOL_Obool)), _u808), _u809)), _u809) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u807, tc_HOL_Obool)), _u808), _u809)) )).
% 20.36/20.60 cnf(matrix-1328, plain, ( hBOOL(hAPP(_u821, hAPP(_u819, _u823))) | ~hBOOL(hAPP(hAPP(c_Set_Ovimage(_u815, _u817, _u819), _u821), _u823)) )).
% 20.36/20.60 cnf(matrix-1329, plain, ( ~hBOOL(hAPP(_u822, hAPP(_u820, _u824))) | hBOOL(hAPP(hAPP(c_Set_Ovimage(_u816, _u818, _u820), _u822), _u824)) )).
% 20.36/20.60 cnf(matrix-1330, plain, ( ~class_Finite__Set_Ofinite(_u825) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u825), _u826)) )).
% 20.36/20.60 cnf(matrix-1331, plain, ( ~class_Finite__Set_Ofinite(_u827) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u827), _u828)) )).
% 20.36/20.60 cnf(matrix-1332, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u829), _u830)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u829), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u829, tc_HOL_Obool)), _u831), _u830))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u829), _u831)) )).
% 20.36/20.60 cnf(matrix-1333, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u829), _u830)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u829), _u831)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u829), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u829, tc_HOL_Obool)), _u831), _u830))) )).
% 20.36/20.60 cnf(matrix-1334, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u832, _u833, _u834, _u835, _u836), _u837)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u832), _u836)) )).
% 20.36/20.60 cnf(matrix-1335, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u842), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u842, tc_HOL_Obool)), _u844), hAPP(hAPP(c_Set_Oinsert(_u842), _u846), _u848)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u842), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u842, tc_HOL_Obool)), _u844), _u848))) )).
% 20.36/20.60 cnf(matrix-1336, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u843), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u843, tc_HOL_Obool)), _u845), _u849))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u843), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u843, tc_HOL_Obool)), _u845), hAPP(hAPP(c_Set_Oinsert(_u843), _u847), _u849)))) )).
% 20.36/20.60 cnf(matrix-1337, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u854), _u856), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u854, tc_HOL_Obool)), _u858), _u860))) | hBOOL(hAPP(hAPP(c_member(_u854), _u856), _u858)) )).
% 20.36/20.60 cnf(matrix-1338, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u854), _u856), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u854, tc_HOL_Obool)), _u858), _u860))) | ~hBOOL(hAPP(hAPP(c_member(_u854), _u856), _u860)) )).
% 20.36/20.60 cnf(matrix-1339, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u855), _u857), _u859)) | hBOOL(hAPP(hAPP(c_member(_u855), _u857), _u861)) | hBOOL(hAPP(hAPP(c_member(_u855), _u857), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u855, tc_HOL_Obool)), _u859), _u861))) )).
% 20.36/20.60 cnf(matrix-1340, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u862), _u863), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u862, tc_HOL_Obool)), _u864), _u865))) | hBOOL(hAPP(hAPP(c_member(_u862), _u863), _u864)) )).
% 20.36/20.60 cnf(matrix-1341, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u866), _u867), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u866, tc_HOL_Obool)), _u868), _u869))) | ~hBOOL(hAPP(hAPP(c_member(_u866), _u867), _u869)) )).
% 20.36/20.60 cnf(matrix-1342, plain, ( hBOOL(hAPP(hAPP(c_member(_u879), hAPP(_u881, _u877)), _u883)) | ~hBOOL(hAPP(hAPP(c_member(_u875), _u877), hAPP(c_Set_Ovimage(_u875, _u879, _u881), _u883))) )).
% 20.36/20.60 cnf(matrix-1343, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u880), hAPP(_u882, _u878)), _u884)) | hBOOL(hAPP(hAPP(c_member(_u876), _u878), hAPP(c_Set_Ovimage(_u876, _u880, _u882), _u884))) )).
% 20.36/20.60 cnf(matrix-1344, plain, ( hBOOL(hAPP(hAPP(c_member(_u887), hAPP(_u888, _u886)), _u889)) | ~hBOOL(hAPP(hAPP(c_member(_u885), _u886), hAPP(c_Set_Ovimage(_u885, _u887, _u888), _u889))) )).
% 20.36/20.60 cnf(matrix-1345, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u890), hAPP(_u891, _u892)), _u893)) | hBOOL(hAPP(hAPP(c_member(_u894), _u892), hAPP(c_Set_Ovimage(_u894, _u890, _u891), _u893))) )).
% 20.36/20.60 cnf(matrix-1346, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u895, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u895, tc_HOL_Obool))), _u896) = c_Orderings_Obot__class_Obot(tc_fun(_u895, tc_HOL_Obool))) )).
% 20.36/20.60 cnf(matrix-1347, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u897, tc_HOL_Obool)), _u898), c_Orderings_Obot__class_Obot(tc_fun(_u897, tc_HOL_Obool))) = _u898) )).
% 20.36/20.60 cnf(matrix-1348, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u899, tc_HOL_Obool)), _u900), _u900) = c_Orderings_Obot__class_Obot(tc_fun(_u899, tc_HOL_Obool))) )).
% 20.36/20.60 cnf(matrix-1349, plain, ( ( hAPP(c_Set_Ovimage(_u901, _u902, _u903), c_Orderings_Obot__class_Obot(tc_fun(_u902, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u901, tc_HOL_Obool))) )).
% 20.36/20.60 cnf(matrix-1350, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u904, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u904, tc_HOL_Obool)), _u905), _u906)), _u905)) )).
% 20.36/20.60 cnf(matrix-1351, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u907, tc_HOL_Obool)), _u908), _u909)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u907, tc_HOL_Obool)), _u910), _u911)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u907, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u907, tc_HOL_Obool)), _u908), _u911)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u907, tc_HOL_Obool)), _u909), _u910))) )).
% 20.36/20.60 cnf(matrix-1352, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u912, tc_HOL_Obool)), _u913), _u914)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u912, tc_HOL_Obool)), _u914), _u915)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u912, tc_HOL_Obool)), _u914), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u912, tc_HOL_Obool)), _u915), _u913)) = _u913) )).
% 20.36/20.60 cnf(matrix-1353, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u916, tc_HOL_Obool)), _u917), _u918)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u919, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u919, _u916, _u920), _u917)), hAPP(c_Set_Ovimage(_u919, _u916, _u920), _u918))) )).
% 20.36/20.60 cnf(matrix-1354, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u921, tc_HOL_Obool)), _u922), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u921, tc_HOL_Obool)), _u923), _u922)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u921, tc_HOL_Obool)), _u922), _u923)) )).
% 20.36/20.60 cnf(matrix-1355, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u924, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u924, tc_HOL_Obool)), _u925), _u926)), _u926) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u924, tc_HOL_Obool)), _u925), _u926)) )).
% 20.36/20.60 cnf(matrix-1356, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u927, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u927, tc_HOL_Obool)), _u928), _u929)), _u930) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u927, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u927, tc_HOL_Obool)), _u928), _u930)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u927, tc_HOL_Obool)), _u929), _u930))) )).
% 20.36/20.60 cnf(matrix-1357, plain, ( ( hAPP(c_Set_Ovimage(_u931, _u932, _u933), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u932, tc_HOL_Obool)), _u934), _u935)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u931, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u931, _u932, _u933), _u934)), hAPP(c_Set_Ovimage(_u931, _u932, _u933), _u935))) )).
% 20.36/20.60 cnf(matrix-1358, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u936), c_Orderings_Obot__class_Obot(tc_fun(_u936, tc_HOL_Obool)))) )).
% 20.36/20.60 cnf(matrix-1359, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u940), hAPP(hAPP(c_Set_Oinsert(_u940), _u942), _u944))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u940), _u944)) )).
% 20.36/20.60 cnf(matrix-1360, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u941), _u945)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u941), hAPP(hAPP(c_Set_Oinsert(_u941), _u943), _u945))) )).
% 20.36/20.60 cnf(matrix-1361, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u946, tc_HOL_Obool)), _u947), _u948)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u946), _u948)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u946), _u947)) )).
% 20.36/20.60 cnf(matrix-1362, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u949), _u950)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u949, tc_HOL_Obool)), _u951), _u950)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u949), _u951)) )).
% 20.36/20.60 cnf(matrix-1363, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u952), _u953)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u952), _u954)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u952), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u952, tc_HOL_Obool)), _u953), _u954))) )).
% 20.36/20.60 cnf(matrix-1364, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u958), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u958, tc_HOL_Obool)), _u960), _u962))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u958), _u960)) )).
% 20.36/20.60 cnf(matrix-1365, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u958), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u958, tc_HOL_Obool)), _u960), _u962))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u958), _u962)) )).
% 20.36/20.60 cnf(matrix-1366, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u959), _u961)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u959), _u963)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u959), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u959, tc_HOL_Obool)), _u961), _u963))) )).
% 20.36/20.60 cnf(matrix-1367, plain, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u964, _u965, _u966, _u967, c_Orderings_Obot__class_Obot(tc_fun(_u964, tc_HOL_Obool))), _u967)) )).
% 20.36/20.60 cnf(matrix-1368, plain, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u968, _u969, _u970, _u971, c_Orderings_Obot__class_Obot(tc_fun(_u968, tc_HOL_Obool))), _u971)) )).
% 20.36/20.60 cnf(matrix-1369, plain, ( ( _u976 = _u975) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u972, _u973, _u974, _u975, c_Orderings_Obot__class_Obot(tc_fun(_u972, tc_HOL_Obool))), _u976)) )).
% 20.36/20.60 cnf(matrix-1370, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u977, _u978, _u979, _u980, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u977, tc_HOL_Obool)), _u981), hAPP(hAPP(c_Set_Oinsert(_u977), _u982), c_Orderings_Obot__class_Obot(tc_fun(_u977, tc_HOL_Obool))))), _u983)) | ~hBOOL(hAPP(hAPP(c_member(_u977), _u982), _u981)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u977, _u978, _u979, _u980, _u981), hAPP(hAPP(_u979, _u982), _u983))) )).
% 20.36/20.60 cnf(matrix-1371, plain, ( ~c_Finite__Set_Ofolding__one(_u984, _u985, _u986) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u984), _u987)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u984, tc_HOL_Obool)), _u987), hAPP(hAPP(c_Set_Oinsert(_u984), _u988), c_Orderings_Obot__class_Obot(tc_fun(_u984, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u984, tc_HOL_Obool))) | ( hAPP(_u986, hAPP(hAPP(c_Set_Oinsert(_u984), _u988), _u987)) = _u988) )).
% 20.36/20.60 cnf(matrix-1372, plain, ( ~c_Finite__Set_Ofolding__one(_u984, _u985, _u986) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u984), _u987)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u984, tc_HOL_Obool)), _u987), hAPP(hAPP(c_Set_Oinsert(_u984), _u988), c_Orderings_Obot__class_Obot(tc_fun(_u984, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u984, tc_HOL_Obool))) | ( hAPP(_u986, hAPP(hAPP(c_Set_Oinsert(_u984), _u988), _u987)) = hAPP(hAPP(_u985, _u988), hAPP(_u986, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u984, tc_HOL_Obool)), _u987), hAPP(hAPP(c_Set_Oinsert(_u984), _u988), c_Orderings_Obot__class_Obot(tc_fun(_u984, tc_HOL_Obool))))))) )).
% 20.36/20.60 cnf(matrix-1373, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u989), _u990), _u991)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u989, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u989), _u990), _u992)), _u991) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u989, tc_HOL_Obool)), _u992), _u991)) )).
% 20.36/20.60 cnf(matrix-1374, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u997), _u999), _u1001)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u997, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u997), _u999), _u1003)), _u1001) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u997, tc_HOL_Obool)), _u1003), _u1001)) )).
% 20.36/20.60 cnf(matrix-1375, plain, ( hBOOL(hAPP(hAPP(c_member(_u998), _u1000), _u1002)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u998, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u998), _u1000), _u1004)), _u1002) = hAPP(hAPP(c_Set_Oinsert(_u998), _u1000), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u998, tc_HOL_Obool)), _u1004), _u1002))) )).
% 20.36/20.60 cnf(matrix-1376, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1005, tc_HOL_Obool)), _u1006), hAPP(hAPP(c_Set_Oinsert(_u1005), _u1007), _u1008)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1005, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1005, tc_HOL_Obool)), _u1006), _u1008)), hAPP(hAPP(c_Set_Oinsert(_u1005), _u1007), c_Orderings_Obot__class_Obot(tc_fun(_u1005, tc_HOL_Obool))))) )).
% 20.36/20.60 cnf(matrix-1377, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1009, tc_HOL_Obool)), _u1010), hAPP(hAPP(c_Set_Oinsert(_u1009), _u1011), _u1012)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1009, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1009, tc_HOL_Obool)), _u1010), hAPP(hAPP(c_Set_Oinsert(_u1009), _u1011), c_Orderings_Obot__class_Obot(tc_fun(_u1009, tc_HOL_Obool))))), _u1012)) )).
% 20.36/20.60 cnf(matrix-1378, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u1013), _u1014), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1013, tc_HOL_Obool)), _u1015), hAPP(hAPP(c_Set_Oinsert(_u1013), _u1014), c_Orderings_Obot__class_Obot(tc_fun(_u1013, tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(_u1013), _u1014), _u1015)) )).
% 20.36/20.60 cnf(matrix-1379, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1020, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1020, tc_HOL_Obool)), _u1022), _u1024)), _u1026)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1020, tc_HOL_Obool)), _u1022), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1020, tc_HOL_Obool)), _u1024), _u1026))) )).
% 20.36/20.60 cnf(matrix-1380, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1021, tc_HOL_Obool)), _u1023), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1021, tc_HOL_Obool)), _u1025), _u1027))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1021, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1021, tc_HOL_Obool)), _u1023), _u1025)), _u1027)) )).
% 20.36/20.60 cnf(matrix-1381, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1028, tc_HOL_Obool)), _u1029), _u1030)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1028, tc_HOL_Obool)), _u1029), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1028, tc_HOL_Obool)), _u1030), _u1029)) = _u1030) )).
% 20.36/20.60 cnf(matrix-1382, plain, ( ~c_Finite__Set_Ofolding__one(_u1031, _u1032, _u1033) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1031), _u1034)) | ~hBOOL(hAPP(hAPP(c_member(_u1031), _u1035), _u1034)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1031, tc_HOL_Obool)), _u1034), hAPP(hAPP(c_Set_Oinsert(_u1031), _u1035), c_Orderings_Obot__class_Obot(tc_fun(_u1031, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u1031, tc_HOL_Obool))) | ( hAPP(_u1033, _u1034) = _u1035) )).
% 20.36/20.60 cnf(matrix-1383, plain, ( ~c_Finite__Set_Ofolding__one(_u1031, _u1032, _u1033) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1031), _u1034)) | ~hBOOL(hAPP(hAPP(c_member(_u1031), _u1035), _u1034)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1031, tc_HOL_Obool)), _u1034), hAPP(hAPP(c_Set_Oinsert(_u1031), _u1035), c_Orderings_Obot__class_Obot(tc_fun(_u1031, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u1031, tc_HOL_Obool))) | ( hAPP(_u1033, _u1034) = hAPP(hAPP(_u1032, _u1035), hAPP(_u1033, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1031, tc_HOL_Obool)), _u1034), hAPP(hAPP(c_Set_Oinsert(_u1031), _u1035), c_Orderings_Obot__class_Obot(tc_fun(_u1031, tc_HOL_Obool))))))) )).
% 20.36/20.60 cnf(matrix-1384, plain, ( hBOOL(hAPP(hAPP(c_member(_u1036), _u1037), _u1038)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1036, _u1039, _u1040, _u1041, _u1038), _u1042)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1036, _u1039, _u1040, _u1041, hAPP(hAPP(c_Set_Oinsert(_u1036), _u1037), _u1038)), hAPP(hAPP(_u1040, _u1037), _u1042))) )).
% 20.36/20.60 cnf(matrix-1385, plain, ( hBOOL(hAPP(hAPP(c_member(_u1043), _u1044), _u1045)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1043, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1043), _u1044), _u1045)), hAPP(hAPP(c_Set_Oinsert(_u1043), _u1044), c_Orderings_Obot__class_Obot(tc_fun(_u1043, tc_HOL_Obool)))) = _u1045) )).
% 20.36/20.60 cnf(matrix-1386, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1047), _u1052)) | ~hBOOL(hAPP(hAPP(c_member(_u1047), _u1053), _u1052)) | ( hAPP(_u1051, _u1052) = hAPP(hAPP(_u1048, hAPP(_u1050, _u1053)), hAPP(_u1051, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1047, tc_HOL_Obool)), _u1052), hAPP(hAPP(c_Set_Oinsert(_u1047), _u1053), c_Orderings_Obot__class_Obot(tc_fun(_u1047, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u1046, _u1047, _u1048, _u1049, _u1050, _u1051) )).
% 20.36/20.60 cnf(matrix-1387, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1055), _u1060)) | ( hAPP(_u1059, hAPP(hAPP(c_Set_Oinsert(_u1055), _u1061), _u1060)) = hAPP(hAPP(_u1056, hAPP(_u1058, _u1061)), hAPP(_u1059, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1055, tc_HOL_Obool)), _u1060), hAPP(hAPP(c_Set_Oinsert(_u1055), _u1061), c_Orderings_Obot__class_Obot(tc_fun(_u1055, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u1054, _u1055, _u1056, _u1057, _u1058, _u1059) )).
% 20.36/20.60 cnf(matrix-1388, plain, ( ~class_Lattices_Olattice(_u1062) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1062), _u1063)) | ~hBOOL(hAPP(hAPP(c_member(_u1062), _u1064), _u1063)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1062, tc_HOL_Obool)), _u1063), hAPP(hAPP(c_Set_Oinsert(_u1062), _u1064), c_Orderings_Obot__class_Obot(tc_fun(_u1062, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u1062, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u1062, _u1063) = _u1064) )).
% 20.36/20.60 cnf(matrix-1389, plain, ( ~class_Lattices_Olattice(_u1062) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1062), _u1063)) | ~hBOOL(hAPP(hAPP(c_member(_u1062), _u1064), _u1063)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1062, tc_HOL_Obool)), _u1063), hAPP(hAPP(c_Set_Oinsert(_u1062), _u1064), c_Orderings_Obot__class_Obot(tc_fun(_u1062, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u1062, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u1062, _u1063) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1062), _u1064), c_Big__Operators_Olattice__class_OSup__fin(_u1062, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1062, tc_HOL_Obool)), _u1063), hAPP(hAPP(c_Set_Oinsert(_u1062), _u1064), c_Orderings_Obot__class_Obot(tc_fun(_u1062, tc_HOL_Obool))))))) )).
% 20.36/20.60 cnf(matrix-1390, plain, ( ~class_Groups_Oordered__ab__group__add(_u1065) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1065), _u1066), _u1067) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1065), _u1068), _u1069)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1065), _u1066), _u1067)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1065), _u1068), _u1069)) )).
% 20.36/20.60 cnf(matrix-1391, plain, ( ~class_Groups_Oordered__ab__group__add(_u1065) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1065), _u1066), _u1067) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1065), _u1068), _u1069)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1065), _u1068), _u1069)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1065), _u1066), _u1067)) )).
% 20.36/20.60 cnf(matrix-1392, plain, ( ~c_Finite__Set_Ofolding__one(_u1072, _u1073, _u1074) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1072), _u1075)) | ( _u1075 = c_Orderings_Obot__class_Obot(tc_fun(_u1072, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u1072), hAPP(hAPP(_u1073, skolem21(_u1075, _u1074, _u1073, _u1072)), skolem22(_u1075, _u1074, _u1073, _u1072))), hAPP(hAPP(c_Set_Oinsert(_u1072), skolem21(_u1075, _u1074, _u1073, _u1072)), hAPP(hAPP(c_Set_Oinsert(_u1072), skolem22(_u1075, _u1074, _u1073, _u1072)), c_Orderings_Obot__class_Obot(tc_fun(_u1072, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u1072), hAPP(_u1074, _u1075)), _u1075)) )).
% 20.36/20.60 cnf(matrix-1393, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1078), _u1079)) | ~hBOOL(hAPP(_u1080, _u1079)) | hBOOL(hAPP(_u1080, c_Orderings_Obot__class_Obot(tc_fun(_u1078, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1078), skolem24(_u1080, _u1079, _u1078))) )).
% 20.36/20.60 cnf(matrix-1394, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1078), _u1079)) | ~hBOOL(hAPP(_u1080, _u1079)) | hBOOL(hAPP(_u1080, c_Orderings_Obot__class_Obot(tc_fun(_u1078, tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_member(_u1078), skolem23(_u1080, _u1079, _u1078)), skolem24(_u1080, _u1079, _u1078))) )).
% 20.36/20.60 cnf(matrix-1395, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1078), _u1079)) | ~hBOOL(hAPP(_u1080, _u1079)) | hBOOL(hAPP(_u1080, c_Orderings_Obot__class_Obot(tc_fun(_u1078, tc_HOL_Obool)))) | hBOOL(hAPP(_u1080, skolem24(_u1080, _u1079, _u1078))) )).
% 20.36/20.60 cnf(matrix-1396, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1078), _u1079)) | ~hBOOL(hAPP(_u1080, _u1079)) | hBOOL(hAPP(_u1080, c_Orderings_Obot__class_Obot(tc_fun(_u1078, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u1080, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1078, tc_HOL_Obool)), skolem24(_u1080, _u1079, _u1078)), hAPP(hAPP(c_Set_Oinsert(_u1078), skolem23(_u1080, _u1079, _u1078)), c_Orderings_Obot__class_Obot(tc_fun(_u1078, tc_HOL_Obool)))))) )).
% 20.36/20.60 cnf(matrix-1397, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u1081, _u1082, _u1083) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1081), _u1084)) | ( _u1084 = c_Orderings_Obot__class_Obot(tc_fun(_u1081, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1081), _u1085)) | ( _u1085 = c_Orderings_Obot__class_Obot(tc_fun(_u1081, tc_HOL_Obool))) | ( hAPP(_u1083, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1081, tc_HOL_Obool)), _u1084), _u1085)) = hAPP(hAPP(_u1082, hAPP(_u1083, _u1084)), hAPP(_u1083, _u1085))) )).
% 20.36/20.60 cnf(matrix-1398, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u1086, _u1087, _u1088) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1086), _u1089)) | ( _u1090 = c_Orderings_Obot__class_Obot(tc_fun(_u1086, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1086, tc_HOL_Obool)), _u1090), _u1089)) | ( hAPP(hAPP(_u1087, hAPP(_u1088, _u1090)), hAPP(_u1088, _u1089)) = hAPP(_u1088, _u1089)) )).
% 20.36/20.60 cnf(matrix-1399, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1093), _u1094)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1093, tc_HOL_Obool)), _u1094), _u1095)) | ~hBOOL(hAPP(_u1096, c_Orderings_Obot__class_Obot(tc_fun(_u1093, tc_HOL_Obool)))) | hBOOL(hAPP(_u1096, _u1094)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1093), skolem26(_u1096, _u1095, _u1094, _u1093))) )).
% 20.36/20.60 cnf(matrix-1400, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1093), _u1094)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1093, tc_HOL_Obool)), _u1094), _u1095)) | ~hBOOL(hAPP(_u1096, c_Orderings_Obot__class_Obot(tc_fun(_u1093, tc_HOL_Obool)))) | hBOOL(hAPP(_u1096, _u1094)) | hBOOL(hAPP(hAPP(c_member(_u1093), skolem25(_u1096, _u1095, _u1094, _u1093)), _u1095)) )).
% 20.36/20.60 cnf(matrix-1401, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1093), _u1094)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1093, tc_HOL_Obool)), _u1094), _u1095)) | ~hBOOL(hAPP(_u1096, c_Orderings_Obot__class_Obot(tc_fun(_u1093, tc_HOL_Obool)))) | hBOOL(hAPP(_u1096, _u1094)) | ~hBOOL(hAPP(hAPP(c_member(_u1093), skolem25(_u1096, _u1095, _u1094, _u1093)), skolem26(_u1096, _u1095, _u1094, _u1093))) )).
% 20.36/20.60 cnf(matrix-1402, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1093), _u1094)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1093, tc_HOL_Obool)), _u1094), _u1095)) | ~hBOOL(hAPP(_u1096, c_Orderings_Obot__class_Obot(tc_fun(_u1093, tc_HOL_Obool)))) | hBOOL(hAPP(_u1096, _u1094)) | hBOOL(hAPP(_u1096, skolem26(_u1096, _u1095, _u1094, _u1093))) )).
% 20.36/20.60 cnf(matrix-1403, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1093), _u1094)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1093, tc_HOL_Obool)), _u1094), _u1095)) | ~hBOOL(hAPP(_u1096, c_Orderings_Obot__class_Obot(tc_fun(_u1093, tc_HOL_Obool)))) | hBOOL(hAPP(_u1096, _u1094)) | ~hBOOL(hAPP(_u1096, hAPP(hAPP(c_Set_Oinsert(_u1093), skolem25(_u1096, _u1095, _u1094, _u1093)), skolem26(_u1096, _u1095, _u1094, _u1093)))) )).
% 20.36/20.60 cnf(matrix-1404, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u1097, _u1098, _u1099) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1097), _u1100)) | ( _u1100 = c_Orderings_Obot__class_Obot(tc_fun(_u1097, tc_HOL_Obool))) | ( hAPP(_u1099, hAPP(hAPP(c_Set_Oinsert(_u1097), _u1101), _u1100)) = hAPP(hAPP(_u1098, _u1101), hAPP(_u1099, _u1100))) )).
% 20.36/20.60 cnf(matrix-1405, plain, ( ~class_Lattices_Olattice(_u1102) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1102), _u1103)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1102, tc_HOL_Obool)), _u1103), hAPP(hAPP(c_Set_Oinsert(_u1102), _u1104), c_Orderings_Obot__class_Obot(tc_fun(_u1102, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u1102, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u1102, hAPP(hAPP(c_Set_Oinsert(_u1102), _u1104), _u1103)) = _u1104) )).
% 20.36/20.60 cnf(matrix-1406, plain, ( ~class_Lattices_Olattice(_u1102) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1102), _u1103)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1102, tc_HOL_Obool)), _u1103), hAPP(hAPP(c_Set_Oinsert(_u1102), _u1104), c_Orderings_Obot__class_Obot(tc_fun(_u1102, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u1102, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u1102, hAPP(hAPP(c_Set_Oinsert(_u1102), _u1104), _u1103)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1102), _u1104), c_Big__Operators_Olattice__class_OSup__fin(_u1102, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1102, tc_HOL_Obool)), _u1103), hAPP(hAPP(c_Set_Oinsert(_u1102), _u1104), c_Orderings_Obot__class_Obot(tc_fun(_u1102, tc_HOL_Obool))))))) )).
% 20.36/20.60 cnf(matrix-1407, plain, ( ( hAPP(hAPP(_u1106, _u1108), _u1108) = _u1108) | ~c_Finite__Set_Ofolding__one__idem(_u1105, _u1106, _u1107) )).
% 20.36/20.60 cnf(matrix-1408, plain, ( ( hAPP(_u1114, c_Orderings_Obot__class_Obot(tc_fun(_u1110, tc_HOL_Obool))) = _u1112) | ~c_Finite__Set_Ofolding__image__simple(_u1109, _u1110, _u1111, _u1112, _u1113, _u1114) )).
% 20.36/20.60 cnf(matrix-1409, plain, ( ~class_Lattices_Olattice(_u1115) | ( c_Big__Operators_Olattice__class_OSup__fin(_u1115, hAPP(hAPP(c_Set_Oinsert(_u1115), _u1116), c_Orderings_Obot__class_Obot(tc_fun(_u1115, tc_HOL_Obool)))) = _u1116) )).
% 20.36/20.60 cnf(matrix-1410, plain, ( ~class_Groups_Oab__group__add(_u1117) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1117), _u1118), _u1119) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1117), _u1120), _u1121)) | ( _u1118 != _u1119) | ( _u1120 = _u1121) )).
% 20.36/20.60 cnf(matrix-1411, plain, ( ~class_Groups_Oab__group__add(_u1117) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1117), _u1118), _u1119) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1117), _u1120), _u1121)) | ( _u1120 != _u1121) | ( _u1118 = _u1119) )).
% 20.36/20.60 cnf(matrix-1412, plain, ( ~class_Lattices_Olattice(_u1122) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1122), _u1123)) | ~hBOOL(hAPP(hAPP(c_member(_u1122), _u1124), _u1123)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1122), _u1124), c_Big__Operators_Olattice__class_OSup__fin(_u1122, _u1123)) = c_Big__Operators_Olattice__class_OSup__fin(_u1122, _u1123)) )).
% 20.36/20.60 cnf(matrix-1413, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u1125, _u1126, _u1127) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1125), _u1128)) | ~hBOOL(hAPP(hAPP(c_member(_u1125), _u1129), _u1128)) | ( hAPP(hAPP(_u1126, _u1129), hAPP(_u1127, _u1128)) = hAPP(_u1127, _u1128)) )).
% 20.36/20.60 cnf(matrix-1414, plain, ( ~class_Lattices_Olattice(_u1130) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1130), _u1131)) | ( _u1131 = c_Orderings_Obot__class_Obot(tc_fun(_u1130, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u1130, hAPP(hAPP(c_Set_Oinsert(_u1130), _u1132), _u1131)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1130), _u1132), c_Big__Operators_Olattice__class_OSup__fin(_u1130, _u1131))) )).
% 20.36/20.60 cnf(matrix-1415, plain, ( ~class_Lattices_Olattice(_u1133) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1133), _u1134)) | ( _u1135 = c_Orderings_Obot__class_Obot(tc_fun(_u1133, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1133, tc_HOL_Obool)), _u1135), _u1134)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1133), c_Big__Operators_Olattice__class_OSup__fin(_u1133, _u1135)), c_Big__Operators_Olattice__class_OSup__fin(_u1133, _u1134)) = c_Big__Operators_Olattice__class_OSup__fin(_u1133, _u1134)) )).
% 20.36/20.60 cnf(matrix-1416, plain, ( ~class_Lattices_Olattice(_u1136) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1136), _u1137)) | ( _u1137 = c_Orderings_Obot__class_Obot(tc_fun(_u1136, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1136), _u1138)) | ( _u1138 = c_Orderings_Obot__class_Obot(tc_fun(_u1136, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u1136, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1136, tc_HOL_Obool)), _u1137), _u1138)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1136), c_Big__Operators_Olattice__class_OSup__fin(_u1136, _u1137)), c_Big__Operators_Olattice__class_OSup__fin(_u1136, _u1138))) )).
% 20.36/20.60 cnf(matrix-1417, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1140), _u1145)) | hBOOL(hAPP(hAPP(c_member(_u1140), _u1146), _u1145)) | ( hAPP(_u1144, hAPP(hAPP(c_Set_Oinsert(_u1140), _u1146), _u1145)) = hAPP(hAPP(_u1141, hAPP(_u1143, _u1146)), hAPP(_u1144, _u1145))) | ~c_Finite__Set_Ofolding__image__simple(_u1139, _u1140, _u1141, _u1142, _u1143, _u1144) )).
% 20.36/20.60 cnf(matrix-1418, plain, ( ~class_Lattices_Olattice(_u1147) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1147), _u1148)) | hBOOL(hAPP(hAPP(c_member(_u1147), _u1149), _u1148)) | ( _u1148 = c_Orderings_Obot__class_Obot(tc_fun(_u1147, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u1147, hAPP(hAPP(c_Set_Oinsert(_u1147), _u1149), _u1148)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1147), _u1149), c_Big__Operators_Olattice__class_OSup__fin(_u1147, _u1148))) )).
% 20.36/20.60 cnf(matrix-1419, plain, ( ~class_Lattices_Olattice(_u1152) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1152), _u1153)) | ( _u1153 = c_Orderings_Obot__class_Obot(tc_fun(_u1152, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u1152), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1152), skolem27(_u1153, _u1152)), skolem28(_u1153, _u1152))), hAPP(hAPP(c_Set_Oinsert(_u1152), skolem27(_u1153, _u1152)), hAPP(hAPP(c_Set_Oinsert(_u1152), skolem28(_u1153, _u1152)), c_Orderings_Obot__class_Obot(tc_fun(_u1152, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u1152), c_Big__Operators_Olattice__class_OSup__fin(_u1152, _u1153)), _u1153)) )).
% 20.36/20.60 cnf(matrix-1420, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1156, _u1157, hAPP(hAPP(c_Set_Oinsert(_u1156), _u1158), _u1159)), _u1160)) | ( hAPP(hAPP(c_Set_Oinsert(_u1156), _u1158), _u1159) = hAPP(hAPP(c_Set_Oinsert(_u1156), skolem29(_u1160, _u1159, _u1158, _u1157, _u1156)), skolem30(_u1160, _u1159, _u1158, _u1157, _u1156))) )).
% 20.36/20.60 cnf(matrix-1421, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1156, _u1157, hAPP(hAPP(c_Set_Oinsert(_u1156), _u1158), _u1159)), _u1160)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1156, _u1156, _u1157, skolem29(_u1160, _u1159, _u1158, _u1157, _u1156), skolem30(_u1160, _u1159, _u1158, _u1157, _u1156)), _u1160)) )).
% 20.36/20.60 cnf(matrix-1422, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1156, _u1157, hAPP(hAPP(c_Set_Oinsert(_u1156), _u1158), _u1159)), _u1160)) | ~hBOOL(hAPP(hAPP(c_member(_u1156), skolem29(_u1160, _u1159, _u1158, _u1157, _u1156)), skolem30(_u1160, _u1159, _u1158, _u1157, _u1156))) )).
% 20.36/20.60 cnf(matrix-1423, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1170, _u1172, hAPP(hAPP(c_Set_Oinsert(_u1170), _u1174), _u1176)), _u1178)) | ( hAPP(hAPP(c_Set_Oinsert(_u1170), _u1174), _u1176) = hAPP(hAPP(c_Set_Oinsert(_u1170), skolem31(_u1178, _u1176, _u1174, _u1172, _u1170)), skolem32(_u1178, _u1176, _u1174, _u1172, _u1170))) )).
% 20.36/20.60 cnf(matrix-1424, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1170, _u1172, hAPP(hAPP(c_Set_Oinsert(_u1170), _u1174), _u1176)), _u1178)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1170, _u1170, _u1172, skolem31(_u1178, _u1176, _u1174, _u1172, _u1170), skolem32(_u1178, _u1176, _u1174, _u1172, _u1170)), _u1178)) )).
% 20.36/20.60 cnf(matrix-1425, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1170, _u1172, hAPP(hAPP(c_Set_Oinsert(_u1170), _u1174), _u1176)), _u1178)) | ~hBOOL(hAPP(hAPP(c_member(_u1170), skolem31(_u1178, _u1176, _u1174, _u1172, _u1170)), skolem32(_u1178, _u1176, _u1174, _u1172, _u1170))) )).
% 20.36/20.60 cnf(matrix-1426, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u1171), _u1175), _u1177) != hAPP(hAPP(c_Set_Oinsert(_u1171), _u1164), _u1163)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1171, _u1171, _u1173, _u1164, _u1163), _u1179)) | hBOOL(hAPP(hAPP(c_member(_u1171), _u1164), _u1163)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1171, _u1173, hAPP(hAPP(c_Set_Oinsert(_u1171), _u1175), _u1177)), _u1179)) )).
% 20.36/20.60 cnf(matrix-1427, plain, ( ~class_Rings_Oring(_u1180) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1181), _u1182)) | ~hBOOL(hAPP(hAPP(c_member(_u1181), _u1183), _u1182)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1181, _u1180), _u1184), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1181, tc_HOL_Obool)), _u1182), hAPP(hAPP(c_Set_Oinsert(_u1181), _u1183), c_Orderings_Obot__class_Obot(tc_fun(_u1181, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1180), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1181, _u1180), _u1184), _u1182)), hAPP(_u1184, _u1183))) )).
% 20.36/20.60 cnf(matrix-1428, plain, ( ~class_Groups_Oab__group__add(_u1185) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1186), _u1187)) | ~hBOOL(hAPP(hAPP(c_member(_u1186), _u1188), _u1187)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1186, _u1185), _u1189), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1186, tc_HOL_Obool)), _u1187), hAPP(hAPP(c_Set_Oinsert(_u1186), _u1188), c_Orderings_Obot__class_Obot(tc_fun(_u1186, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1185), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1186, _u1185), _u1189), _u1187)), hAPP(_u1189, _u1188))) )).
% 20.36/20.60 cnf(matrix-1429, plain, ( ~class_Groups_Oab__group__add(_u1185) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1186), _u1187)) | hBOOL(hAPP(hAPP(c_member(_u1186), _u1188), _u1187)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1186, _u1185), _u1189), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1186, tc_HOL_Obool)), _u1187), hAPP(hAPP(c_Set_Oinsert(_u1186), _u1188), c_Orderings_Obot__class_Obot(tc_fun(_u1186, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1186, _u1185), _u1189), _u1187)) )).
% 20.36/20.60 cnf(matrix-1430, plain, ( ~class_Groups_Oab__semigroup__mult(_u1190) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1190, _u1190, c_Groups_Otimes__class_Otimes(_u1190), _u1191, _u1192), _u1193)) | ~hBOOL(hAPP(hAPP(c_member(_u1190), _u1194), _u1192)) | hBOOL(hAPP(hAPP(c_member(_u1190), _u1191), _u1192)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1190, _u1190, c_Groups_Otimes__class_Otimes(_u1190), _u1194, hAPP(hAPP(c_Set_Oinsert(_u1190), _u1191), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1190, tc_HOL_Obool)), _u1192), hAPP(hAPP(c_Set_Oinsert(_u1190), _u1194), c_Orderings_Obot__class_Obot(tc_fun(_u1190, tc_HOL_Obool)))))), _u1193)) )).
% 20.36/20.60 cnf(matrix-1431, plain, ( ~class_Lattices_Olattice(_u1195) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1195), _u1196)) | ( _u1196 = c_Orderings_Obot__class_Obot(tc_fun(_u1195, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1195), _u1197)) | ( _u1197 = c_Orderings_Obot__class_Obot(tc_fun(_u1195, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1195, tc_HOL_Obool)), _u1196), _u1197) != c_Orderings_Obot__class_Obot(tc_fun(_u1195, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u1195, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1195, tc_HOL_Obool)), _u1196), _u1197)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1195), c_Big__Operators_Olattice__class_OSup__fin(_u1195, _u1196)), c_Big__Operators_Olattice__class_OSup__fin(_u1195, _u1197))) )).
% 20.36/20.60 cnf(matrix-1432, plain, ( ~class_Lattices_Olattice(_u1198) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1198), _u1199)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1198), _u1200)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1198, tc_HOL_Obool)), _u1199), _u1200) = c_Orderings_Obot__class_Obot(tc_fun(_u1198, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1198), c_Big__Operators_Olattice__class_OSup__fin(_u1198, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1198, tc_HOL_Obool)), _u1199), _u1200))), c_Big__Operators_Olattice__class_OSup__fin(_u1198, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1198, tc_HOL_Obool)), _u1199), _u1200))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1198), c_Big__Operators_Olattice__class_OSup__fin(_u1198, _u1199)), c_Big__Operators_Olattice__class_OSup__fin(_u1198, _u1200))) )).
% 20.36/20.60 cnf(matrix-1433, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1205, tc_HOL_Obool)), _u1207), hAPP(hAPP(c_Set_Oinsert(_u1205), _u1209), _u1211))) | ~hBOOL(hAPP(hAPP(c_member(_u1205), _u1209), _u1211)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1205, tc_HOL_Obool)), _u1207), _u1211)) )).
% 20.36/20.60 cnf(matrix-1434, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1205, tc_HOL_Obool)), _u1207), hAPP(hAPP(c_Set_Oinsert(_u1205), _u1209), _u1211))) | hBOOL(hAPP(hAPP(c_member(_u1205), _u1209), _u1211)) | ~hBOOL(hAPP(hAPP(c_member(_u1205), _u1209), _u1207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1205, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1205, tc_HOL_Obool)), _u1207), hAPP(hAPP(c_Set_Oinsert(_u1205), _u1209), c_Orderings_Obot__class_Obot(tc_fun(_u1205, tc_HOL_Obool))))), _u1211)) )).
% 20.36/20.60 cnf(matrix-1435, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1205, tc_HOL_Obool)), _u1207), hAPP(hAPP(c_Set_Oinsert(_u1205), _u1209), _u1211))) | hBOOL(hAPP(hAPP(c_member(_u1205), _u1209), _u1211)) | hBOOL(hAPP(hAPP(c_member(_u1205), _u1209), _u1207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1205, tc_HOL_Obool)), _u1207), _u1211)) )).
% 20.36/20.60 cnf(matrix-1436, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1206, tc_HOL_Obool)), _u1208), hAPP(hAPP(c_Set_Oinsert(_u1206), _u1210), _u1212))) | hBOOL(hAPP(hAPP(c_member(_u1206), _u1210), _u1212)) | hBOOL(hAPP(hAPP(c_member(_u1206), _u1210), _u1208)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1206, tc_HOL_Obool)), _u1208), _u1212)) )).
% 20.36/20.60 cnf(matrix-1437, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1206, tc_HOL_Obool)), _u1208), hAPP(hAPP(c_Set_Oinsert(_u1206), _u1210), _u1212))) | hBOOL(hAPP(hAPP(c_member(_u1206), _u1210), _u1212)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1206, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1206, tc_HOL_Obool)), _u1208), hAPP(hAPP(c_Set_Oinsert(_u1206), _u1210), c_Orderings_Obot__class_Obot(tc_fun(_u1206, tc_HOL_Obool))))), _u1212)) | ~hBOOL(hAPP(hAPP(c_member(_u1206), _u1210), _u1208)) )).
% 20.36/20.60 cnf(matrix-1438, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1206, tc_HOL_Obool)), _u1208), hAPP(hAPP(c_Set_Oinsert(_u1206), _u1210), _u1212))) | hBOOL(hAPP(hAPP(c_member(_u1206), _u1210), _u1212)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1206, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1206, tc_HOL_Obool)), _u1208), hAPP(hAPP(c_Set_Oinsert(_u1206), _u1210), c_Orderings_Obot__class_Obot(tc_fun(_u1206, tc_HOL_Obool))))), _u1212)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1206, tc_HOL_Obool)), _u1208), _u1212)) )).
% 20.36/20.60 cnf(matrix-1439, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1206, tc_HOL_Obool)), _u1208), hAPP(hAPP(c_Set_Oinsert(_u1206), _u1210), _u1212))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1206, tc_HOL_Obool)), _u1208), _u1212)) | ~hBOOL(hAPP(hAPP(c_member(_u1206), _u1210), _u1212)) )).
% 20.36/20.60 cnf(matrix-1440, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1206, tc_HOL_Obool)), _u1208), hAPP(hAPP(c_Set_Oinsert(_u1206), _u1210), _u1212))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1206, tc_HOL_Obool)), _u1208), _u1212)) | hBOOL(hAPP(hAPP(c_member(_u1206), _u1210), _u1208)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1206, tc_HOL_Obool)), _u1208), _u1212)) )).
% 20.36/20.60 cnf(matrix-1441, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1206, tc_HOL_Obool)), _u1208), hAPP(hAPP(c_Set_Oinsert(_u1206), _u1210), _u1212))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1206, tc_HOL_Obool)), _u1208), _u1212)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1206, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1206, tc_HOL_Obool)), _u1208), hAPP(hAPP(c_Set_Oinsert(_u1206), _u1210), c_Orderings_Obot__class_Obot(tc_fun(_u1206, tc_HOL_Obool))))), _u1212)) | ~hBOOL(hAPP(hAPP(c_member(_u1206), _u1210), _u1208)) )).
% 20.36/20.60 cnf(matrix-1442, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1206, tc_HOL_Obool)), _u1208), hAPP(hAPP(c_Set_Oinsert(_u1206), _u1210), _u1212))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1206, tc_HOL_Obool)), _u1208), _u1212)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1206, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1206, tc_HOL_Obool)), _u1208), hAPP(hAPP(c_Set_Oinsert(_u1206), _u1210), c_Orderings_Obot__class_Obot(tc_fun(_u1206, tc_HOL_Obool))))), _u1212)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1206, tc_HOL_Obool)), _u1208), _u1212)) )).
% 20.36/20.60 cnf(matrix-1443, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1214), _u1219)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1214), _u1220)) | ( hAPP(_u1218, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1214, tc_HOL_Obool)), _u1219), _u1220)) = hAPP(hAPP(_u1215, hAPP(_u1218, _u1219)), hAPP(_u1218, _u1220))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u1213, _u1214, _u1215, _u1216, _u1217, _u1218) )).
% 20.36/20.60 cnf(matrix-1444, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1222), _u1227)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1222, tc_HOL_Obool)), _u1228), _u1227)) | ( hAPP(hAPP(_u1223, hAPP(_u1226, _u1228)), hAPP(_u1226, _u1227)) = hAPP(_u1226, _u1227)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u1221, _u1222, _u1223, _u1224, _u1225, _u1226) )).
% 20.36/20.60 cnf(matrix-1445, plain, ( ~hBOOL(hAPP(_u1229, _u1230)) | ~hBOOL(hAPP(_u1231, _u1230)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1232, tc_HOL_Obool)), _u1229), _u1231), _u1230)) )).
% 20.36/20.60 cnf(matrix-1446, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1233, tc_HOL_Obool)), _u1234), _u1235), _u1236)) | hBOOL(hAPP(_u1234, _u1236)) )).
% 20.36/20.60 cnf(matrix-1447, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1233, tc_HOL_Obool)), _u1234), _u1235), _u1236)) | hBOOL(hAPP(_u1235, _u1236)) )).
% 20.36/20.60 cnf(matrix-1448, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1237), _u1238), _u1239)) | ~hBOOL(hAPP(hAPP(c_member(_u1237), _u1238), _u1240)) | hBOOL(hAPP(hAPP(c_member(_u1237), _u1238), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1237, tc_HOL_Obool)), _u1239), _u1240))) )).
% 20.36/20.60 cnf(matrix-1449, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1241), _u1242), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1241, tc_HOL_Obool)), _u1243), _u1244))) | hBOOL(hAPP(hAPP(c_member(_u1241), _u1242), _u1243)) )).
% 20.36/20.60 cnf(matrix-1450, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1241), _u1242), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1241, tc_HOL_Obool)), _u1243), _u1244))) | hBOOL(hAPP(hAPP(c_member(_u1241), _u1242), _u1244)) )).
% 20.36/20.60 cnf(matrix-1451, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u1245), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1245, tc_HOL_Obool)), _u1246), _u1247))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1245), _u1246)) )).
% 20.36/20.60 cnf(matrix-1452, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u1245), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1245, tc_HOL_Obool)), _u1246), _u1247))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1245), _u1247)) )).
% 20.36/20.60 cnf(matrix-1453, plain, ( ~class_Groups_Oab__semigroup__mult(_u1248) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1248), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1248), _u1249), _u1250)), _u1251) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1248), _u1249), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1248), _u1250), _u1251))) )).
% 20.36/20.60 cnf(matrix-1454, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u1252) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1252), _u1253), _u1253) = _u1253) )).
% 20.36/20.60 cnf(matrix-1455, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u1254) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1254), _u1255), _u1255) = _u1255) )).
% 20.36/20.60 cnf(matrix-1456, plain, ( ~class_Lattices_Osemilattice__inf(_u1256) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1256), _u1257), _u1257) = _u1257) )).
% 20.36/20.60 cnf(matrix-1457, plain, ( ~class_Lattices_Osemilattice__inf(_u1258) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1258), _u1259), _u1259) = _u1259) )).
% 20.36/20.60 cnf(matrix-1458, plain, ( ~class_Lattices_Osemilattice__inf(_u1260) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1260), _u1261), _u1262) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1260), _u1262), _u1261)) )).
% 20.36/20.60 cnf(matrix-1459, plain, ( ~class_Lattices_Olattice(_u1263) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1263), _u1264), _u1265) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1263), _u1265), _u1264)) )).
% 20.36/20.60 cnf(matrix-1460, plain, ( ~class_Lattices_Osemilattice__inf(_u1266) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1266), _u1267), _u1268) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1266), _u1268), _u1267)) )).
% 20.36/20.60 cnf(matrix-1461, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u1269) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1269), _u1270), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1269), _u1270), _u1271)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1269), _u1270), _u1271)) )).
% 20.36/20.60 cnf(matrix-1462, plain, ( ~class_Lattices_Osemilattice__inf(_u1272) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1272), _u1273), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1272), _u1273), _u1274)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1272), _u1273), _u1274)) )).
% 20.36/20.60 cnf(matrix-1463, plain, ( ~class_Lattices_Olattice(_u1275) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1275), _u1276), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1275), _u1276), _u1277)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1275), _u1276), _u1277)) )).
% 20.36/20.60 cnf(matrix-1464, plain, ( ~class_Lattices_Osemilattice__inf(_u1278) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1278), _u1279), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1278), _u1279), _u1280)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1278), _u1279), _u1280)) )).
% 20.36/20.60 cnf(matrix-1465, plain, ( ~class_Lattices_Osemilattice__inf(_u1281) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1281), _u1282), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1281), _u1283), _u1284)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1281), _u1283), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1281), _u1282), _u1284))) )).
% 20.36/20.60 cnf(matrix-1466, plain, ( ~class_Lattices_Olattice(_u1285) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1285), _u1286), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1285), _u1287), _u1288)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1285), _u1287), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1285), _u1286), _u1288))) )).
% 20.36/20.60 cnf(matrix-1467, plain, ( ~class_Lattices_Osemilattice__inf(_u1289) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1289), _u1290), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1289), _u1291), _u1292)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1289), _u1291), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1289), _u1290), _u1292))) )).
% 20.36/20.60 cnf(matrix-1468, plain, ( ~class_Lattices_Osemilattice__inf(_u1293) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1293), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1293), _u1294), _u1295)), _u1296) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1293), _u1294), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1293), _u1295), _u1296))) )).
% 20.36/20.60 cnf(matrix-1469, plain, ( ~class_Lattices_Olattice(_u1297) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1297), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1297), _u1298), _u1299)), _u1300) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1297), _u1298), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1297), _u1299), _u1300))) )).
% 20.36/20.60 cnf(matrix-1470, plain, ( ~class_Lattices_Osemilattice__inf(_u1301) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1301), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1301), _u1302), _u1303)), _u1304) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1301), _u1302), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1301), _u1303), _u1304))) )).
% 20.36/20.60 cnf(matrix-1471, plain, ( ~class_Lattices_Olattice(_u1305) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1306, _u1305)), _u1307), _u1308), _u1309) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1305), hAPP(_u1307, _u1309)), hAPP(_u1308, _u1309))) )).
% 20.36/20.60 cnf(matrix-1472, plain, ( ~class_Lattices_Osemilattice__inf(_u1310) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1310), _u1311), _u1312)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1310), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1310), _u1311), _u1313)), _u1312)) )).
% 20.36/20.60 cnf(matrix-1473, plain, ( ~class_Lattices_Osemilattice__inf(_u1314) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1314), _u1315), _u1316)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1314), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1314), _u1317), _u1315)), _u1316)) )).
% 20.36/20.60 cnf(matrix-1474, plain, ( hBOOL(hAPP(_u1319, _u1321)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1318, tc_HOL_Obool)), _u1319), _u1320), _u1321)) )).
% 20.36/20.60 cnf(matrix-1475, plain, ( hBOOL(hAPP(_u1324, _u1325)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1322, tc_HOL_Obool)), _u1323), _u1324), _u1325)) )).
% 20.36/20.60 cnf(matrix-1476, plain, ( ~class_Orderings_Opreorder(_u1326) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1326), _u1327), _u1327)) )).
% 20.36/20.60 cnf(matrix-1477, plain, ( ~class_Orderings_Olinorder(_u1328) | ( _u1329 = _u1330) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1328), _u1329), _u1330)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1328), _u1330), _u1329)) )).
% 20.36/20.60 cnf(matrix-1478, plain, ( ~class_Orderings_Olinorder(_u1328) | ( _u1329 != _u1330) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1328), _u1329), _u1330)) )).
% 20.36/20.60 cnf(matrix-1479, plain, ( ~class_Orderings_Olinorder(_u1328) | ( _u1329 != _u1330) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1328), _u1330), _u1329)) )).
% 20.36/20.60 cnf(matrix-1480, plain, ( ~class_Orderings_Olinorder(_u1331) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1331), _u1332), _u1333)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1331), _u1333), _u1332)) | ( _u1332 = _u1333) )).
% 20.36/20.60 cnf(matrix-1481, plain, ( ~class_Orderings_Olinorder(_u1331) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1331), _u1332), _u1333)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1331), _u1333), _u1332)) )).
% 20.36/20.60 cnf(matrix-1482, plain, ( ~class_Orderings_Olinorder(_u1331) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1331), _u1332), _u1333)) | ( _u1332 != _u1333) )).
% 20.36/20.60 cnf(matrix-1483, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1334, tc_HOL_Obool)), _u1335), _u1335) = _u1335) )).
% 20.36/20.60 cnf(matrix-1484, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1336, tc_HOL_Obool)), _u1337), _u1338) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1336, tc_HOL_Obool)), _u1338), _u1337)) )).
% 20.36/20.60 cnf(matrix-1485, plain, ( ~class_Orderings_Olinorder(_u1339) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1339), _u1340), _u1341)) | ( _u1340 = _u1341) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1339), _u1341), _u1340)) )).
% 20.36/20.60 cnf(matrix-1486, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1342, tc_HOL_Obool)), _u1343), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1342, tc_HOL_Obool)), _u1343), _u1344)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1342, tc_HOL_Obool)), _u1343), _u1344)) )).
% 20.36/20.60 cnf(matrix-1487, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1345, tc_HOL_Obool)), _u1346), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1345, tc_HOL_Obool)), _u1347), _u1348)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1345, tc_HOL_Obool)), _u1347), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1345, tc_HOL_Obool)), _u1346), _u1348))) )).
% 20.36/20.60 cnf(matrix-1488, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1349, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1349, tc_HOL_Obool)), _u1350), _u1351)), _u1352) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1349, tc_HOL_Obool)), _u1350), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1349, tc_HOL_Obool)), _u1351), _u1352))) )).
% 20.36/20.60 cnf(matrix-1489, plain, ( ~class_Orderings_Olinorder(_u1353) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1353), _u1354), _u1355)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1353), _u1355), _u1354)) | ( _u1355 = _u1354) )).
% 20.36/20.60 cnf(matrix-1490, plain, ( ~class_Orderings_Olinorder(_u1353) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1353), _u1354), _u1355)) | ( _u1355 != _u1354) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1353), _u1355), _u1354)) )).
% 20.36/20.60 cnf(matrix-1491, plain, ( ~class_Orderings_Olinorder(_u1356) | ( _u1357 = _u1358) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1356), _u1357), _u1358)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1356), _u1358), _u1357)) )).
% 20.36/20.60 cnf(matrix-1492, plain, ( ~class_Orderings_Oorder(_u1359) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1359), _u1360), _u1361)) | ( _u1360 != _u1361) )).
% 20.36/20.60 cnf(matrix-1493, plain, ( ~class_Orderings_Opreorder(_u1362) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1362), _u1363), _u1364)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1362), _u1364), _u1363)) )).
% 20.36/20.60 cnf(matrix-1494, plain, ( ~class_Orderings_Opreorder(_u1365) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1365), _u1366), _u1367)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1365), _u1367), _u1366)) )).
% 20.36/20.60 cnf(matrix-1495, plain, ( ~class_Orderings_Oorder(_u1368) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1368), _u1369), _u1370)) | ( _u1369 != _u1370) )).
% 20.36/20.60 cnf(matrix-1496, plain, ( ~class_Orderings_Oorder(_u1371) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1371), _u1372), _u1373)) | ( _u1373 != _u1372) )).
% 20.36/20.60 cnf(matrix-1497, plain, ( ~class_Orderings_Opreorder(_u1374) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1374), _u1375), _u1376)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1374), _u1376), _u1375)) )).
% 20.36/20.60 cnf(matrix-1498, plain, ( ~class_Orderings_Oorder(_u1377) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1377), _u1378), _u1379)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1377), _u1379), _u1378)) )).
% 20.36/20.60 cnf(matrix-1499, plain, ( ~class_Orderings_Oord(_u1380) | ( _u1381 != _u1382) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1380), _u1382), _u1383)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1380), _u1381), _u1383)) )).
% 20.36/20.60 cnf(matrix-1500, plain, ( ~class_Orderings_Oorder(_u1384) | ( _u1385 != _u1386) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1384), _u1387), _u1386)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1384), _u1387), _u1385)) )).
% 20.36/20.60 cnf(matrix-1501, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1388, tc_HOL_Obool)), _u1389), _u1390)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1388, tc_HOL_Obool)), _u1390), _u1391)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1388, tc_HOL_Obool)), _u1389), _u1391)) )).
% 20.36/20.60 cnf(matrix-1502, plain, ( ~class_Orderings_Oord(_u1392) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1392), _u1393), _u1394)) | ( _u1394 != _u1395) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1392), _u1393), _u1395)) )).
% 20.36/20.60 cnf(matrix-1503, plain, ( ~class_Orderings_Oorder(_u1396) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1396), _u1397), _u1398)) | ( _u1397 != _u1399) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1396), _u1399), _u1398)) )).
% 20.36/20.60 cnf(matrix-1504, plain, ( ~class_Orderings_Opreorder(_u1400) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1400), _u1401), _u1402)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1400), _u1402), _u1403)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1400), _u1401), _u1403)) )).
% 20.36/20.60 cnf(matrix-1505, plain, ( ~class_Orderings_Oorder(_u1404) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1404), _u1405), _u1406)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1404), _u1407), _u1405)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1404), _u1407), _u1406)) )).
% 20.36/20.60 cnf(matrix-1506, plain, ( ~class_Orderings_Opreorder(_u1408) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1408), _u1409), _u1410)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1408), _u1410), _u1409)) )).
% 20.36/20.60 cnf(matrix-1507, plain, ( ~class_Orderings_Olinorder(_u1411) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1411), _u1412), _u1413)) | ( _u1412 = _u1413) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1411), _u1413), _u1412)) )).
% 20.36/20.60 cnf(matrix-1508, plain, ( ~class_Lattices_Olattice(_u1414) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1414), _u1415), _u1415) = _u1415) )).
% 20.36/20.60 cnf(matrix-1509, plain, ( ( hAPP(hAPP(_u1418, _u1422), _u1422) = _u1422) | ~c_Finite__Set_Ofolding__image__simple__idem(_u1416, _u1417, _u1418, _u1419, _u1420, _u1421) )).
% 20.36/20.60 cnf(matrix-1510, plain, ( ~class_Lattices_Osemilattice__inf(_u1423) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1423), _u1424), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1423), _u1425), _u1426))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1423), _u1424), _u1425)) )).
% 20.36/20.60 cnf(matrix-1511, plain, ( ~class_Lattices_Osemilattice__inf(_u1423) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1423), _u1424), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1423), _u1425), _u1426))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1423), _u1424), _u1426)) )).
% 20.36/20.60 cnf(matrix-1512, plain, ( ~class_Lattices_Osemilattice__inf(_u1427) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1427), _u1428), _u1429)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1427), _u1430), _u1431)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1427), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1427), _u1428), _u1430)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1427), _u1429), _u1431))) )).
% 20.36/20.60 cnf(matrix-1513, plain, ( ~class_Lattices_Osemilattice__inf(_u1432) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1432), _u1433), _u1434)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1432), _u1433), _u1435)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1432), _u1433), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1432), _u1434), _u1435))) )).
% 20.36/20.60 cnf(matrix-1514, plain, ( ~class_Lattices_Osemilattice__inf(_u1436) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1436), _u1437), _u1438)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1436), _u1437), _u1439)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1436), _u1437), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1436), _u1438), _u1439))) )).
% 20.36/20.60 cnf(matrix-1515, plain, ( ~class_Lattices_Osemilattice__inf(_u1440) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1440), _u1441), _u1442)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1440), _u1442), _u1441) = _u1441) )).
% 20.36/20.60 cnf(matrix-1516, plain, ( ~class_Lattices_Osemilattice__inf(_u1443) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1443), _u1444), _u1445)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1443), _u1444), _u1445) = _u1444) )).
% 20.36/20.60 cnf(matrix-1517, plain, ( ~class_Lattices_Osemilattice__inf(_u1446) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1446), _u1447), _u1448)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1446), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1446), _u1449), _u1447)), _u1448)) )).
% 20.36/20.60 cnf(matrix-1518, plain, ( ~class_Lattices_Osemilattice__inf(_u1450) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1450), _u1451), _u1452)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1450), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1450), _u1451), _u1453)), _u1452)) )).
% 20.36/20.60 cnf(matrix-1519, plain, ( ~class_Lattices_Osemilattice__inf(_u1454) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1454), _u1455), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1454), _u1456), _u1457))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1454), _u1455), _u1456)) )).
% 20.36/20.60 cnf(matrix-1520, plain, ( ~class_Lattices_Osemilattice__inf(_u1454) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1454), _u1455), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1454), _u1456), _u1457))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1454), _u1455), _u1457)) )).
% 20.36/20.60 cnf(matrix-1521, plain, ( ~class_Lattices_Osemilattice__inf(_u1454) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1454), _u1455), _u1456)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1454), _u1455), _u1457)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1454), _u1455), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1454), _u1456), _u1457))) )).
% 20.36/20.60 cnf(matrix-1522, plain, ( ~class_Lattices_Osemilattice__inf(_u1458) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1458), _u1459), _u1460)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1458), _u1459), _u1460) = _u1459) )).
% 20.36/20.60 cnf(matrix-1523, plain, ( ~class_Lattices_Osemilattice__inf(_u1458) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1458), _u1459), _u1460) != _u1459) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1458), _u1459), _u1460)) )).
% 20.36/20.60 cnf(matrix-1524, plain, ( ~class_Lattices_Osemilattice__inf(_u1461) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1461), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1461), _u1462), _u1463)), _u1463)) )).
% 20.36/20.60 cnf(matrix-1525, plain, ( ~class_Lattices_Olattice(_u1464) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1464), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1464), _u1465), _u1466)), _u1466)) )).
% 20.36/20.60 cnf(matrix-1526, plain, ( ~class_Lattices_Osemilattice__inf(_u1467) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1467), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1467), _u1468), _u1469)), _u1468)) )).
% 20.36/20.60 cnf(matrix-1527, plain, ( ~class_Lattices_Olattice(_u1470) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1470), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1470), _u1471), _u1472)), _u1471)) )).
% 20.36/20.60 cnf(matrix-1528, plain, ( ~class_Lattices_Obounded__lattice__bot(_u1473) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1473), c_Orderings_Obot__class_Obot(_u1473)), _u1474) = c_Orderings_Obot__class_Obot(_u1473)) )).
% 20.36/20.60 cnf(matrix-1529, plain, ( ~class_Lattices_Obounded__lattice__bot(_u1475) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1475), _u1476), c_Orderings_Obot__class_Obot(_u1475)) = c_Orderings_Obot__class_Obot(_u1475)) )).
% 20.36/20.60 cnf(matrix-1530, plain, ( ~class_Lattices_Odistrib__lattice(_u1477) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1477), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1477), _u1478), _u1479)), _u1480) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1477), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1477), _u1478), _u1480)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1477), _u1479), _u1480))) )).
% 20.36/20.60 cnf(matrix-1531, plain, ( ~class_Lattices_Odistrib__lattice(_u1481) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1481), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1481), _u1482), _u1483)), _u1484) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1481), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1481), _u1482), _u1484)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1481), _u1483), _u1484))) )).
% 20.36/20.60 cnf(matrix-1532, plain, ( ~class_Lattices_Odistrib__lattice(_u1485) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1485), _u1486), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1485), _u1487), _u1488)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1485), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1485), _u1486), _u1487)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1485), _u1486), _u1488))) )).
% 20.36/20.60 cnf(matrix-1533, plain, ( ~class_Lattices_Odistrib__lattice(_u1489) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1489), _u1490), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1489), _u1491), _u1492)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1489), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1489), _u1490), _u1491)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1489), _u1490), _u1492))) )).
% 20.36/20.60 cnf(matrix-1534, plain, ( ~class_Lattices_Olattice(_u1493) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1493), _u1494), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1493), _u1494), _u1495)) = _u1494) )).
% 20.36/20.60 cnf(matrix-1535, plain, ( ~class_Lattices_Olattice(_u1496) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1496), _u1497), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1496), _u1497), _u1498)) = _u1497) )).
% 20.36/20.60 cnf(matrix-1536, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1503), _u1505), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1503, tc_HOL_Obool)), _u1507), _u1509))) | hBOOL(hAPP(hAPP(c_member(_u1503), _u1505), _u1507)) )).
% 20.36/20.60 cnf(matrix-1537, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1503), _u1505), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1503, tc_HOL_Obool)), _u1507), _u1509))) | hBOOL(hAPP(hAPP(c_member(_u1503), _u1505), _u1509)) )).
% 20.36/20.60 cnf(matrix-1538, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1504), _u1506), _u1508)) | ~hBOOL(hAPP(hAPP(c_member(_u1504), _u1506), _u1510)) | hBOOL(hAPP(hAPP(c_member(_u1504), _u1506), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1504, tc_HOL_Obool)), _u1508), _u1510))) )).
% 20.36/20.60 cnf(matrix-1539, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1511), _u1512), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1511, tc_HOL_Obool)), _u1513), _u1514))) | hBOOL(hAPP(hAPP(c_member(_u1511), _u1512), _u1513)) )).
% 20.36/20.60 cnf(matrix-1540, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1515), _u1516), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1515, tc_HOL_Obool)), _u1517), _u1518))) | hBOOL(hAPP(hAPP(c_member(_u1515), _u1516), _u1518)) )).
% 20.36/20.60 cnf(matrix-1541, plain, ( ~class_Orderings_Oord(_u1519) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1520, _u1519)), _u1521), _u1522)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1520, _u1519)), _u1521), _u1522)) )).
% 20.36/20.60 cnf(matrix-1542, plain, ( ~class_Orderings_Oord(_u1519) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1520, _u1519)), _u1521), _u1522)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1520, _u1519)), _u1522), _u1521)) )).
% 20.36/20.60 cnf(matrix-1543, plain, ( ~class_Orderings_Oord(_u1519) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1520, _u1519)), _u1521), _u1522)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1520, _u1519)), _u1522), _u1521)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1520, _u1519)), _u1521), _u1522)) )).
% 20.36/20.60 cnf(matrix-1544, plain, ( ~class_Orderings_Olinorder(_u1523) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1523), _u1524), _u1525)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1523), _u1525), _u1524)) )).
% 20.36/20.60 cnf(matrix-1545, plain, ( ~class_Orderings_Olinorder(_u1523) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1523), _u1525), _u1524)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1523), _u1524), _u1525)) )).
% 20.36/20.60 cnf(matrix-1546, plain, ( ~class_Orderings_Olinorder(_u1526) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1526), _u1527), _u1528)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1526), _u1528), _u1527)) )).
% 20.36/20.60 cnf(matrix-1547, plain, ( ~class_Orderings_Olinorder(_u1526) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1526), _u1528), _u1527)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1526), _u1527), _u1528)) )).
% 20.36/20.60 cnf(matrix-1548, plain, ( ~class_Orderings_Olinorder(_u1529) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1529), _u1530), _u1531)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1529), _u1531), _u1530)) )).
% 20.36/20.60 cnf(matrix-1549, plain, ( ~class_Orderings_Oorder(_u1532) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1532), _u1533), _u1534)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1532), _u1533), _u1534)) )).
% 20.36/20.60 cnf(matrix-1550, plain, ( ~class_Orderings_Oorder(_u1532) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1532), _u1533), _u1534)) | ( _u1533 != _u1534) )).
% 20.36/20.60 cnf(matrix-1551, plain, ( ~class_Orderings_Oorder(_u1532) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1532), _u1533), _u1534)) | ( _u1533 = _u1534) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1532), _u1533), _u1534)) )).
% 20.36/20.60 cnf(matrix-1552, plain, ( ~class_Orderings_Opreorder(_u1535) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1535), _u1536), _u1537)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1535), _u1536), _u1537)) )).
% 20.36/20.60 cnf(matrix-1553, plain, ( ~class_Orderings_Opreorder(_u1535) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1535), _u1536), _u1537)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1535), _u1537), _u1536)) )).
% 20.36/20.60 cnf(matrix-1554, plain, ( ~class_Orderings_Opreorder(_u1535) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1535), _u1536), _u1537)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1535), _u1537), _u1536)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1535), _u1536), _u1537)) )).
% 20.36/20.60 cnf(matrix-1555, plain, ( ~class_Orderings_Oorder(_u1538) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1538), _u1539), _u1540)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1538), _u1539), _u1540)) | ( _u1539 = _u1540) )).
% 20.36/20.60 cnf(matrix-1556, plain, ( ~class_Orderings_Oorder(_u1538) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1538), _u1539), _u1540)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1538), _u1539), _u1540)) )).
% 20.36/20.60 cnf(matrix-1557, plain, ( ~class_Orderings_Oorder(_u1538) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1538), _u1539), _u1540)) | ( _u1539 != _u1540) )).
% 20.36/20.60 cnf(matrix-1558, plain, ( ~class_Orderings_Olinorder(_u1541) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1541), _u1542), _u1543)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1541), _u1543), _u1542)) )).
% 20.36/20.60 cnf(matrix-1559, plain, ( ~class_Orderings_Olinorder(_u1544) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1544), _u1545), _u1546)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1544), _u1546), _u1545)) )).
% 20.36/20.60 cnf(matrix-1560, plain, ( ~class_Orderings_Olinorder(_u1547) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1547), _u1548), _u1549)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1547), _u1548), _u1549)) | ( _u1548 = _u1549) )).
% 20.36/20.60 cnf(matrix-1561, plain, ( ~class_Orderings_Olinorder(_u1547) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1547), _u1548), _u1549)) | ( _u1548 != _u1549) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1547), _u1548), _u1549)) )).
% 20.36/20.60 cnf(matrix-1562, plain, ( ~class_Orderings_Oorder(_u1550) | ( _u1551 = _u1552) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1550), _u1551), _u1552)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1550), _u1551), _u1552)) )).
% 20.36/20.60 cnf(matrix-1563, plain, ( ~class_Orderings_Oorder(_u1553) | ( _u1554 = _u1555) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1553), _u1555), _u1554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1553), _u1555), _u1554)) )).
% 20.36/20.60 cnf(matrix-1564, plain, ( ~class_Orderings_Olinorder(_u1556) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1556), _u1557), _u1558)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1556), _u1558), _u1557)) )).
% 20.36/20.60 cnf(matrix-1565, plain, ( ~class_Orderings_Opreorder(_u1559) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1559), _u1560), _u1561)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1559), _u1560), _u1561)) )).
% 20.36/20.60 cnf(matrix-1566, plain, ( ~class_Orderings_Olinorder(_u1562) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1562), _u1563), _u1564)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1562), _u1563), _u1564)) | ( _u1563 = _u1564) )).
% 20.36/20.60 cnf(matrix-1567, plain, ( ~class_Orderings_Olinorder(_u1562) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1562), _u1563), _u1564)) | ( _u1563 != _u1564) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1562), _u1563), _u1564)) )).
% 20.36/20.60 cnf(matrix-1568, plain, ( ~class_Orderings_Oorder(_u1565) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1565), _u1566), _u1567)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1565), _u1566), _u1567)) | ( _u1566 = _u1567) )).
% 20.36/20.60 cnf(matrix-1569, plain, ( ~class_Orderings_Oorder(_u1568) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1568), _u1569), _u1570)) | ( _u1569 = _u1570) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1568), _u1569), _u1570)) )).
% 20.36/20.60 cnf(matrix-1570, plain, ( ~class_Orderings_Oorder(_u1571) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1571), _u1572), _u1573)) | ( _u1573 = _u1572) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1571), _u1572), _u1573)) )).
% 20.36/20.60 cnf(matrix-1571, plain, ( ~class_Orderings_Opreorder(_u1574) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1574), _u1575), _u1576)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1574), _u1576), _u1577)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1574), _u1575), _u1577)) )).
% 20.36/20.60 cnf(matrix-1572, plain, ( ~class_Orderings_Oorder(_u1578) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1578), _u1579), _u1580)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1578), _u1581), _u1579)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1578), _u1581), _u1580)) )).
% 20.36/20.60 cnf(matrix-1573, plain, ( ~class_Orderings_Opreorder(_u1582) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1582), _u1583), _u1584)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1582), _u1584), _u1585)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1582), _u1583), _u1585)) )).
% 20.36/20.60 cnf(matrix-1574, plain, ( ~class_Orderings_Oorder(_u1586) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1586), _u1587), _u1588)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1586), _u1589), _u1587)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1586), _u1589), _u1588)) )).
% 20.36/20.60 cnf(matrix-1575, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1590, tc_HOL_Obool)), _u1591), _u1592)) | ~hBOOL(hAPP(hAPP(c_member(_u1590), _u1593), _u1591)) | hBOOL(hAPP(hAPP(c_member(_u1590), _u1593), _u1592)) )).
% 20.36/20.60 cnf(matrix-1576, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1594, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u1594, tc_HOL_Obool))), _u1595) = c_Orderings_Obot__class_Obot(tc_fun(_u1594, tc_HOL_Obool))) )).
% 20.36/20.60 cnf(matrix-1577, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1596, tc_HOL_Obool)), _u1597), c_Orderings_Obot__class_Obot(tc_fun(_u1596, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u1596, tc_HOL_Obool))) )).
% 20.36/20.60 cnf(matrix-1578, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1605, tc_HOL_Obool)), _u1607), _u1609) != c_Orderings_Obot__class_Obot(tc_fun(_u1605, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u1605), _u1599), _u1607)) | ~hBOOL(hAPP(hAPP(c_member(_u1605), _u1598), _u1609)) | ( _u1599 != _u1598) )).
% 20.36/20.60 cnf(matrix-1579, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1606, tc_HOL_Obool)), _u1608), _u1610) = c_Orderings_Obot__class_Obot(tc_fun(_u1606, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u1606), skolem33(_u1610, _u1608, _u1606)), _u1608)) )).
% 20.36/20.60 cnf(matrix-1580, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1606, tc_HOL_Obool)), _u1608), _u1610) = c_Orderings_Obot__class_Obot(tc_fun(_u1606, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u1606), skolem34(_u1610, _u1608, _u1606)), _u1610)) )).
% 20.36/20.60 cnf(matrix-1581, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1606, tc_HOL_Obool)), _u1608), _u1610) = c_Orderings_Obot__class_Obot(tc_fun(_u1606, tc_HOL_Obool))) | ( skolem33(_u1610, _u1608, _u1606) = skolem34(_u1610, _u1608, _u1606)) )).
% 20.36/20.60 cnf(matrix-1582, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1611, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1611), _u1612), _u1613)), hAPP(hAPP(c_Set_Oinsert(_u1611), _u1612), _u1614)) = hAPP(hAPP(c_Set_Oinsert(_u1611), _u1612), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1611, tc_HOL_Obool)), _u1613), _u1614))) )).
% 20.36/20.60 cnf(matrix-1583, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1615, tc_HOL_Obool)), _u1616), c_Orderings_Obot__class_Obot(tc_fun(_u1615, tc_HOL_Obool)))) )).
% 20.36/20.60 cnf(matrix-1584, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1617, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1617, tc_HOL_Obool)), _u1618), _u1619)), _u1618)) )).
% 20.36/20.60 cnf(matrix-1585, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1620, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1620, tc_HOL_Obool)), _u1621), _u1622)), _u1622)) )).
% 20.36/20.60 cnf(matrix-1586, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1623, tc_HOL_Obool)), _u1624), _u1625)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1623, tc_HOL_Obool)), _u1624), _u1625) = _u1624) )).
% 20.36/20.60 cnf(matrix-1587, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1626, tc_HOL_Obool)), _u1627), _u1628)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1626, tc_HOL_Obool)), _u1628), _u1627) = _u1627) )).
% 20.36/20.60 cnf(matrix-1588, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1629, tc_HOL_Obool)), _u1630), _u1631)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1629, tc_HOL_Obool)), _u1630), _u1632)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1629, tc_HOL_Obool)), _u1630), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1629, tc_HOL_Obool)), _u1631), _u1632))) )).
% 20.36/20.60 cnf(matrix-1589, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1633, tc_HOL_Obool)), _u1634), _u1635)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1633, tc_HOL_Obool)), _u1636), _u1637)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1633, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1633, tc_HOL_Obool)), _u1634), _u1636)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1633, tc_HOL_Obool)), _u1635), _u1637))) )).
% 20.36/20.60 cnf(matrix-1590, plain, ( ~class_Groups_Oordered__ab__group__add(_u1638) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1638), _u1639), _u1640) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1638), _u1641), _u1642)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1638), _u1639), _u1640)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1638), _u1641), _u1642)) )).
% 20.36/20.60 cnf(matrix-1591, plain, ( ~class_Groups_Oordered__ab__group__add(_u1638) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1638), _u1639), _u1640) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1638), _u1641), _u1642)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1638), _u1641), _u1642)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1638), _u1639), _u1640)) )).
% 20.36/20.60 cnf(matrix-1592, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1643, tc_HOL_Obool)), _u1644), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1643, tc_HOL_Obool)), _u1645), _u1646)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1643, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1643, tc_HOL_Obool)), _u1644), _u1645)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1643, tc_HOL_Obool)), _u1644), _u1646))) )).
% 20.36/20.60 cnf(matrix-1593, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1647, tc_HOL_Obool)), _u1648), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1647, tc_HOL_Obool)), _u1649), _u1650)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1647, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1647, tc_HOL_Obool)), _u1648), _u1649)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1647, tc_HOL_Obool)), _u1648), _u1650))) )).
% 20.36/20.60 cnf(matrix-1594, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1651, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1651, tc_HOL_Obool)), _u1652), _u1653)), _u1654) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1651, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1651, tc_HOL_Obool)), _u1652), _u1654)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1651, tc_HOL_Obool)), _u1653), _u1654))) )).
% 20.36/20.60 cnf(matrix-1595, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1655, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1655, tc_HOL_Obool)), _u1656), _u1657)), _u1658) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1655, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1655, tc_HOL_Obool)), _u1656), _u1658)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1655, tc_HOL_Obool)), _u1657), _u1658))) )).
% 20.36/20.60 cnf(matrix-1596, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1659, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1659, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1659, tc_HOL_Obool)), _u1660), _u1661)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1659, tc_HOL_Obool)), _u1661), _u1662))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1659, tc_HOL_Obool)), _u1662), _u1660)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1659, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1659, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1659, tc_HOL_Obool)), _u1660), _u1661)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1659, tc_HOL_Obool)), _u1661), _u1662))), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1659, tc_HOL_Obool)), _u1662), _u1660))) )).
% 20.36/20.60 cnf(matrix-1597, plain, ( ~class_Lattices_Osemilattice__sup(_u1663) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1663), _u1664), _u1665)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1663), _u1664), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1663), _u1666), _u1665))) )).
% 20.36/20.60 cnf(matrix-1598, plain, ( ~class_Lattices_Osemilattice__sup(_u1667) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1667), _u1668), _u1669)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1667), _u1668), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1667), _u1669), _u1670))) )).
% 20.36/20.60 cnf(matrix-1599, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1674, tc_HOL_Obool)), _u1676), _u1678)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1674, tc_HOL_Obool)), _u1676), _u1678)) )).
% 20.36/20.60 cnf(matrix-1600, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1674, tc_HOL_Obool)), _u1676), _u1678)) | ( _u1676 != _u1678) )).
% 20.36/20.60 cnf(matrix-1601, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1675, tc_HOL_Obool)), _u1677), _u1679)) | ( _u1677 = _u1679) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1675, tc_HOL_Obool)), _u1677), _u1679)) )).
% 20.36/20.60 cnf(matrix-1602, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1683, tc_HOL_Obool)), _u1685), _u1687)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1683, tc_HOL_Obool)), _u1685), _u1687)) | ( _u1685 = _u1687) )).
% 20.36/20.60 cnf(matrix-1603, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1684, tc_HOL_Obool)), _u1686), _u1688)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1684, tc_HOL_Obool)), _u1686), _u1688)) )).
% 20.36/20.60 cnf(matrix-1604, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1684, tc_HOL_Obool)), _u1686), _u1688)) | ( _u1686 != _u1688) )).
% 20.36/20.60 cnf(matrix-1605, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1689, tc_HOL_Obool)), _u1690), _u1691)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1689, tc_HOL_Obool)), _u1690), _u1691)) )).
% 20.36/20.60 cnf(matrix-1606, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1692, tc_HOL_Obool)), _u1693), _u1694)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1692, tc_HOL_Obool)), _u1694), _u1695)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1692, tc_HOL_Obool)), _u1693), _u1695)) )).
% 20.36/20.60 cnf(matrix-1607, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1696, tc_HOL_Obool)), _u1697), _u1698)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1696, tc_HOL_Obool)), _u1698), _u1699)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1696, tc_HOL_Obool)), _u1697), _u1699)) )).
% 20.36/20.60 cnf(matrix-1608, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1700, tc_HOL_Obool)), _u1701), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1700, tc_HOL_Obool)), _u1702), _u1703)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1700, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1700, tc_HOL_Obool)), _u1701), _u1702)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1700, tc_HOL_Obool)), _u1701), _u1703))) )).
% 20.36/20.60 cnf(matrix-1609, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1704, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1704, tc_HOL_Obool)), _u1705), _u1706)), _u1707) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1704, tc_HOL_Obool)), _u1705), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1704, tc_HOL_Obool)), _u1706), _u1707))) )).
% 20.36/20.60 cnf(matrix-1610, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1708, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1708, tc_HOL_Obool)), _u1709), _u1710)), _u1711) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1708, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1708, tc_HOL_Obool)), _u1709), _u1711)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1708, tc_HOL_Obool)), _u1710), _u1711))) )).
% 20.36/20.60 cnf(matrix-1611, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1712, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1712, tc_HOL_Obool)), _u1713), _u1714)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1712, tc_HOL_Obool)), _u1715), _u1714)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1712, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1712, tc_HOL_Obool)), _u1713), _u1714)), _u1715)) )).
% 20.36/20.60 cnf(matrix-1612, plain, ( ( hAPP(c_Set_Ovimage(_u1716, _u1717, _u1718), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1717, tc_HOL_Obool)), _u1719), _u1720)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1716, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u1716, _u1717, _u1718), _u1719)), hAPP(c_Set_Ovimage(_u1716, _u1717, _u1718), _u1720))) )).
% 20.36/20.60 cnf(matrix-1613, plain, ( ~class_Lattices_Olattice(_u1721) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1721), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1721), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1721), _u1722), _u1723)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1721), _u1722), _u1724))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1721), _u1722), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1721), _u1723), _u1724)))) )).
% 20.36/20.60 cnf(matrix-1614, plain, ( ~class_Lattices_Olattice(_u1725) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1725), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1725), _u1726), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1725), _u1727), _u1728))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1725), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1725), _u1726), _u1727)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1725), _u1726), _u1728)))) )).
% 20.36/20.60 cnf(matrix-1615, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1729), _u1730), _u1731)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1729, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1729), _u1730), _u1732)), _u1731) = hAPP(hAPP(c_Set_Oinsert(_u1729), _u1730), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1729, tc_HOL_Obool)), _u1732), _u1731))) )).
% 20.36/20.60 cnf(matrix-1616, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1733), _u1734), _u1735)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1733, tc_HOL_Obool)), _u1735), hAPP(hAPP(c_Set_Oinsert(_u1733), _u1734), _u1736)) = hAPP(hAPP(c_Set_Oinsert(_u1733), _u1734), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1733, tc_HOL_Obool)), _u1735), _u1736))) )).
% 20.36/20.60 cnf(matrix-1617, plain, ( hBOOL(hAPP(hAPP(c_member(_u1737), _u1738), _u1739)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1737, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1737), _u1738), _u1740)), _u1739) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1737, tc_HOL_Obool)), _u1740), _u1739)) )).
% 20.36/20.60 cnf(matrix-1618, plain, ( hBOOL(hAPP(hAPP(c_member(_u1741), _u1742), _u1743)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1741, tc_HOL_Obool)), _u1743), hAPP(hAPP(c_Set_Oinsert(_u1741), _u1742), _u1744)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1741, tc_HOL_Obool)), _u1743), _u1744)) )).
% 20.36/20.60 cnf(matrix-1619, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1749), _u1751), _u1753)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1749, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1749), _u1751), _u1755)), _u1753) = hAPP(hAPP(c_Set_Oinsert(_u1749), _u1751), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1749, tc_HOL_Obool)), _u1755), _u1753))) )).
% 20.36/20.60 cnf(matrix-1620, plain, ( hBOOL(hAPP(hAPP(c_member(_u1750), _u1752), _u1754)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1750, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1750), _u1752), _u1756)), _u1754) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1750, tc_HOL_Obool)), _u1756), _u1754)) )).
% 20.36/20.60 cnf(matrix-1621, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1761), _u1763), _u1765)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1761, tc_HOL_Obool)), _u1765), hAPP(hAPP(c_Set_Oinsert(_u1761), _u1763), _u1767)) = hAPP(hAPP(c_Set_Oinsert(_u1761), _u1763), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1761, tc_HOL_Obool)), _u1765), _u1767))) )).
% 20.36/20.60 cnf(matrix-1622, plain, ( hBOOL(hAPP(hAPP(c_member(_u1762), _u1764), _u1766)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1762, tc_HOL_Obool)), _u1766), hAPP(hAPP(c_Set_Oinsert(_u1762), _u1764), _u1768)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1762, tc_HOL_Obool)), _u1766), _u1768)) )).
% 20.36/20.60 cnf(matrix-1623, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1769, tc_HOL_Obool)), _u1770), _u1771) != c_Orderings_Obot__class_Obot(tc_fun(_u1769, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1769, tc_HOL_Obool)), _u1770), _u1771) = _u1770) )).
% 20.36/20.60 cnf(matrix-1624, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1772, tc_HOL_Obool)), _u1773), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1772, tc_HOL_Obool)), _u1774), _u1773)) = c_Orderings_Obot__class_Obot(tc_fun(_u1772, tc_HOL_Obool))) )).
% 20.36/20.60 cnf(matrix-1625, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1779, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1779, tc_HOL_Obool)), _u1781), _u1783)), _u1785) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1779, tc_HOL_Obool)), _u1781), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1779, tc_HOL_Obool)), _u1783), _u1785))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1779, tc_HOL_Obool)), _u1785), _u1781)) )).
% 20.36/20.60 cnf(matrix-1626, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1780, tc_HOL_Obool)), _u1786), _u1782)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1780, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1780, tc_HOL_Obool)), _u1782), _u1784)), _u1786) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1780, tc_HOL_Obool)), _u1782), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1780, tc_HOL_Obool)), _u1784), _u1786))) )).
% 20.36/20.60 cnf(matrix-1627, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1787, tc_HOL_Obool)), _u1788), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1787, tc_HOL_Obool)), _u1789), _u1790)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1787, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1787, tc_HOL_Obool)), _u1788), _u1789)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1787, tc_HOL_Obool)), _u1788), _u1790))) )).
% 20.36/20.60 cnf(matrix-1628, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1791, tc_HOL_Obool)), _u1792), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1791, tc_HOL_Obool)), _u1793), _u1794)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1791, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1791, tc_HOL_Obool)), _u1792), _u1793)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1791, tc_HOL_Obool)), _u1792), _u1794))) )).
% 20.36/20.60 cnf(matrix-1629, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1795, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1795, tc_HOL_Obool)), _u1796), _u1797)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1795, tc_HOL_Obool)), _u1796), _u1797)) = _u1796) )).
% 20.36/20.60 cnf(matrix-1630, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1798), _u1799)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1798, tc_HOL_Obool)), _u1799), _u1800)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1798, tc_Nat_Onat), _u1801), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1798, tc_HOL_Obool)), _u1800), _u1799)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1798, tc_Nat_Onat), _u1801), _u1800)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1798, tc_Nat_Onat), _u1801), _u1799))) )).
% 20.36/20.60 cnf(matrix-1631, plain, ( ~class_Lattices_Olattice(_u1802) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1802), _u1803)) | ~hBOOL(hAPP(hAPP(c_member(_u1802), _u1804), _u1803)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1802), _u1804), c_Big__Operators_Olattice__class_OSup__fin(_u1802, _u1803)) = _u1804) )).
% 20.36/20.60 cnf(matrix-1632, plain, ( ~class_Groups_Oab__semigroup__mult(_u1805) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1805, _u1805, c_Groups_Otimes__class_Otimes(_u1805), _u1806, _u1807), _u1808)) | hBOOL(hAPP(hAPP(c_member(_u1805), _u1806), _u1807)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1805, _u1805, c_Groups_Otimes__class_Otimes(_u1805), _u1809, hAPP(hAPP(c_Set_Oinsert(_u1805), _u1806), _u1807)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1805), _u1809), _u1808))) )).
% 20.36/20.60 cnf(matrix-1633, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1811), _u1816)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1811), _u1817)) | ( hAPP(hAPP(_u1812, hAPP(_u1815, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1811, tc_HOL_Obool)), _u1816), _u1817))), hAPP(_u1815, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1811, tc_HOL_Obool)), _u1816), _u1817))) = hAPP(hAPP(_u1812, hAPP(_u1815, _u1816)), hAPP(_u1815, _u1817))) | ~c_Finite__Set_Ofolding__image__simple(_u1810, _u1811, _u1812, _u1813, _u1814, _u1815) )).
% 20.36/20.60 cnf(matrix-1634, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1822), _u1824), _u1826)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1822, tc_Nat_Onat), _u1828), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1822, tc_HOL_Obool)), _u1826), hAPP(hAPP(c_Set_Oinsert(_u1822), _u1824), c_Orderings_Obot__class_Obot(tc_fun(_u1822, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1822, tc_Nat_Onat), _u1828), _u1826)), hAPP(_u1828, _u1824))) )).
% 20.36/20.60 cnf(matrix-1635, plain, ( hBOOL(hAPP(hAPP(c_member(_u1823), _u1825), _u1827)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1823, tc_Nat_Onat), _u1829), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1823, tc_HOL_Obool)), _u1827), hAPP(hAPP(c_Set_Oinsert(_u1823), _u1825), c_Orderings_Obot__class_Obot(tc_fun(_u1823, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1823, tc_Nat_Onat), _u1829), _u1827)) )).
% 20.36/20.60 cnf(matrix-1636, plain, ( ~class_Groups_Oab__group__add(_u1830) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1831), _u1832)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1831, tc_HOL_Obool)), _u1833), _u1832)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1831, _u1830), _u1834), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1831, tc_HOL_Obool)), _u1832), _u1833)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1830), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1831, _u1830), _u1834), _u1832)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1831, _u1830), _u1834), _u1833))) )).
% 20.36/20.60 cnf(matrix-1637, plain, ( ~c_Finite__Set_Ofolding__one(_u1835, _u1836, _u1837) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1835), _u1838)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1835), _u1839)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1835, tc_HOL_Obool)), _u1838), _u1839) = c_Orderings_Obot__class_Obot(tc_fun(_u1835, tc_HOL_Obool))) | ( hAPP(hAPP(_u1836, hAPP(_u1837, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1835, tc_HOL_Obool)), _u1838), _u1839))), hAPP(_u1837, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1835, tc_HOL_Obool)), _u1838), _u1839))) = hAPP(hAPP(_u1836, hAPP(_u1837, _u1838)), hAPP(_u1837, _u1839))) )).
% 20.36/20.60 cnf(matrix-1638, plain, ( ~c_Finite__Set_Ofolding__one(_u1840, _u1841, _u1842) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1840), _u1843)) | ( _u1843 = c_Orderings_Obot__class_Obot(tc_fun(_u1840, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1840), _u1844)) | ( _u1844 = c_Orderings_Obot__class_Obot(tc_fun(_u1840, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1840, tc_HOL_Obool)), _u1843), _u1844) != c_Orderings_Obot__class_Obot(tc_fun(_u1840, tc_HOL_Obool))) | ( hAPP(_u1842, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1840, tc_HOL_Obool)), _u1843), _u1844)) = hAPP(hAPP(_u1841, hAPP(_u1842, _u1843)), hAPP(_u1842, _u1844))) )).
% 20.36/20.60 cnf(matrix-1639, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1846), _u1851)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1846), _u1852)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1846, tc_HOL_Obool)), _u1851), _u1852) != c_Orderings_Obot__class_Obot(tc_fun(_u1846, tc_HOL_Obool))) | ( hAPP(_u1850, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1846, tc_HOL_Obool)), _u1851), _u1852)) = hAPP(hAPP(_u1847, hAPP(_u1850, _u1851)), hAPP(_u1850, _u1852))) | ~c_Finite__Set_Ofolding__image__simple(_u1845, _u1846, _u1847, _u1848, _u1849, _u1850) )).
% 20.36/20.60 cnf(matrix-1640, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1854), _u1859)) | ~hBOOL(hAPP(hAPP(c_member(_u1854), _u1860), _u1859)) | ( hAPP(hAPP(_u1855, hAPP(_u1857, _u1860)), hAPP(_u1858, _u1859)) = hAPP(_u1858, _u1859)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u1853, _u1854, _u1855, _u1856, _u1857, _u1858) )).
% 20.36/20.60 cnf(matrix-1641, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1862), _u1867)) | ( hAPP(_u1866, hAPP(hAPP(c_Set_Oinsert(_u1862), _u1868), _u1867)) = hAPP(hAPP(_u1863, hAPP(_u1865, _u1868)), hAPP(_u1866, _u1867))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u1861, _u1862, _u1863, _u1864, _u1865, _u1866) )).
% 20.36/20.60 cnf(matrix-1642, plain, ( ~class_Lattices_Olattice(_u1869) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1869), _u1870)) | ~hBOOL(hAPP(hAPP(c_member(_u1869), _u1871), _u1870)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1869, tc_HOL_Obool)), _u1870), hAPP(hAPP(c_Set_Oinsert(_u1869), _u1871), c_Orderings_Obot__class_Obot(tc_fun(_u1869, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u1869, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u1869, _u1870) = _u1871) )).
% 20.36/20.60 cnf(matrix-1643, plain, ( ~class_Lattices_Olattice(_u1869) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1869), _u1870)) | ~hBOOL(hAPP(hAPP(c_member(_u1869), _u1871), _u1870)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1869, tc_HOL_Obool)), _u1870), hAPP(hAPP(c_Set_Oinsert(_u1869), _u1871), c_Orderings_Obot__class_Obot(tc_fun(_u1869, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u1869, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u1869, _u1870) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1869), _u1871), c_Big__Operators_Olattice__class_OInf__fin(_u1869, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1869, tc_HOL_Obool)), _u1870), hAPP(hAPP(c_Set_Oinsert(_u1869), _u1871), c_Orderings_Obot__class_Obot(tc_fun(_u1869, tc_HOL_Obool))))))) )).
% 20.36/20.60 cnf(matrix-1644, plain, ( ~class_Groups_Ocomm__monoid__add(_u1873) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1873) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1874), _u1875)) | ( _u1875 = c_Orderings_Obot__class_Obot(tc_fun(_u1874, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1873), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1874, _u1873), _u1876), _u1875)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1874, _u1873), _u1877), _u1875))) | hBOOL(hAPP(hAPP(c_member(_u1874), skolem35(_u1877, _u1876, _u1875, _u1874, _u1873)), _u1875)) )).
% 20.36/20.60 cnf(matrix-1645, plain, ( ~class_Groups_Ocomm__monoid__add(_u1873) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1873) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1874), _u1875)) | ( _u1875 = c_Orderings_Obot__class_Obot(tc_fun(_u1874, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1873), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1874, _u1873), _u1876), _u1875)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1874, _u1873), _u1877), _u1875))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1873), hAPP(_u1876, skolem35(_u1877, _u1876, _u1875, _u1874, _u1873))), hAPP(_u1877, skolem35(_u1877, _u1876, _u1875, _u1874, _u1873)))) )).
% 20.36/20.60 cnf(matrix-1646, plain, ( ~class_Groups_Ocomm__monoid__add(_u1878) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1879), _u1880)) | ~hBOOL(hAPP(hAPP(c_member(_u1879), _u1881), _u1880)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1879, _u1878), _u1882), _u1880) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1878), hAPP(_u1882, _u1881)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1879, _u1878), _u1882), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1879, tc_HOL_Obool)), _u1880), hAPP(hAPP(c_Set_Oinsert(_u1879), _u1881), c_Orderings_Obot__class_Obot(tc_fun(_u1879, tc_HOL_Obool))))))) )).
% 20.36/20.60 cnf(matrix-1647, plain, ( ~class_Groups_Ocomm__monoid__add(_u1883) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1884), _u1885)) | ~hBOOL(hAPP(hAPP(c_member(_u1884), _u1886), _u1885)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1884, _u1883), _u1887), _u1885) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1883), hAPP(_u1887, _u1886)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u1884, _u1883), _u1887), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1884, tc_HOL_Obool)), _u1885), hAPP(hAPP(c_Set_Oinsert(_u1884), _u1886), c_Orderings_Obot__class_Obot(tc_fun(_u1884, tc_HOL_Obool))))))) )).
% 20.36/20.60 cnf(matrix-1648, plain, ( ~class_Lattices_Olattice(_u1888) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1888), _u1889)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1888), _u1890)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1888, tc_HOL_Obool)), _u1889), _u1890) = c_Orderings_Obot__class_Obot(tc_fun(_u1888, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1888), c_Big__Operators_Olattice__class_OInf__fin(_u1888, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1888, tc_HOL_Obool)), _u1889), _u1890))), c_Big__Operators_Olattice__class_OInf__fin(_u1888, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1888, tc_HOL_Obool)), _u1889), _u1890))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1888), c_Big__Operators_Olattice__class_OInf__fin(_u1888, _u1889)), c_Big__Operators_Olattice__class_OInf__fin(_u1888, _u1890))) )).
% 20.36/20.60 cnf(matrix-1649, plain, ( ~class_Lattices_Olattice(_u1891) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1891), _u1892)) | ( _u1892 = c_Orderings_Obot__class_Obot(tc_fun(_u1891, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1891), _u1893)) | ( _u1893 = c_Orderings_Obot__class_Obot(tc_fun(_u1891, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1891, tc_HOL_Obool)), _u1892), _u1893) != c_Orderings_Obot__class_Obot(tc_fun(_u1891, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u1891, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1891, tc_HOL_Obool)), _u1892), _u1893)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1891), c_Big__Operators_Olattice__class_OInf__fin(_u1891, _u1892)), c_Big__Operators_Olattice__class_OInf__fin(_u1891, _u1893))) )).
% 20.36/20.60 cnf(matrix-1650, plain, ( ~class_Lattices_Olattice(_u1894) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1894), _u1895)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1894, tc_HOL_Obool)), _u1895), hAPP(hAPP(c_Set_Oinsert(_u1894), _u1896), c_Orderings_Obot__class_Obot(tc_fun(_u1894, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u1894, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u1894, hAPP(hAPP(c_Set_Oinsert(_u1894), _u1896), _u1895)) = _u1896) )).
% 20.36/20.60 cnf(matrix-1651, plain, ( ~class_Lattices_Olattice(_u1894) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1894), _u1895)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1894, tc_HOL_Obool)), _u1895), hAPP(hAPP(c_Set_Oinsert(_u1894), _u1896), c_Orderings_Obot__class_Obot(tc_fun(_u1894, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u1894, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u1894, hAPP(hAPP(c_Set_Oinsert(_u1894), _u1896), _u1895)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1894), _u1896), c_Big__Operators_Olattice__class_OInf__fin(_u1894, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1894, tc_HOL_Obool)), _u1895), hAPP(hAPP(c_Set_Oinsert(_u1894), _u1896), c_Orderings_Obot__class_Obot(tc_fun(_u1894, tc_HOL_Obool))))))) )).
% 20.36/20.60 cnf(matrix-1652, plain, ( ~class_Lattices_Olattice(_u1897) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1897), _u1898)) | hBOOL(hAPP(hAPP(c_member(_u1897), _u1899), _u1898)) | ( _u1898 = c_Orderings_Obot__class_Obot(tc_fun(_u1897, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u1897, hAPP(hAPP(c_Set_Oinsert(_u1897), _u1899), _u1898)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1897), _u1899), c_Big__Operators_Olattice__class_OInf__fin(_u1897, _u1898))) )).
% 20.36/20.60 cnf(matrix-1653, plain, ( ~class_Groups_Oab__semigroup__mult(_u1900) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1900), _u1901)) | ( _u1901 = c_Orderings_Obot__class_Obot(tc_fun(_u1900, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1900), _u1902)) | ( _u1902 = c_Orderings_Obot__class_Obot(tc_fun(_u1900, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1900, tc_HOL_Obool)), _u1901), _u1902) != c_Orderings_Obot__class_Obot(tc_fun(_u1900, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u1900, c_Groups_Otimes__class_Otimes(_u1900)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1900, tc_HOL_Obool)), _u1901), _u1902)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1900), hAPP(c_Finite__Set_Ofold1(_u1900, c_Groups_Otimes__class_Otimes(_u1900)), _u1901)), hAPP(c_Finite__Set_Ofold1(_u1900, c_Groups_Otimes__class_Otimes(_u1900)), _u1902))) )).
% 20.36/20.60 cnf(matrix-1654, plain, ( ~c_Finite__Set_Ofolding__image__simple(_u1904, _u1905, _u1906, _u1907, _u1908, _u1909) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1905), _u1910)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1905), _u1911)) | ( hAPP(_u1909, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1905, tc_HOL_Obool)), _u1910), _u1911)) = hAPP(hAPP(_u1906, hAPP(_u1909, _u1910)), hAPP(_u1909, _u1911))) | hBOOL(hAPP(hAPP(c_member(_u1905), skolem36(_u1911, _u1910, _u1909, _u1908, _u1907, _u1906, _u1905)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1905, tc_HOL_Obool)), _u1910), _u1911))) )).
% 20.36/20.60 cnf(matrix-1655, plain, ( ~c_Finite__Set_Ofolding__image__simple(_u1904, _u1905, _u1906, _u1907, _u1908, _u1909) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1905), _u1910)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1905), _u1911)) | ( hAPP(_u1909, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1905, tc_HOL_Obool)), _u1910), _u1911)) = hAPP(hAPP(_u1906, hAPP(_u1909, _u1910)), hAPP(_u1909, _u1911))) | ( hAPP(_u1908, skolem36(_u1911, _u1910, _u1909, _u1908, _u1907, _u1906, _u1905)) != _u1907) )).
% 20.36/20.60 cnf(matrix-1656, plain, ( ~class_Groups_Oab__semigroup__mult(_u1912) | ( _u1913 = c_Orderings_Obot__class_Obot(tc_fun(_u1912, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1912), _u1913)) | hBOOL(hAPP(hAPP(c_member(_u1912), _u1914), _u1913)) | ( hAPP(c_Finite__Set_Ofold1(_u1912, c_Groups_Otimes__class_Otimes(_u1912)), hAPP(hAPP(c_Set_Oinsert(_u1912), _u1914), _u1913)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1912), _u1914), hAPP(c_Finite__Set_Ofold1(_u1912, c_Groups_Otimes__class_Otimes(_u1912)), _u1913))) )).
% 20.36/20.60 cnf(matrix-1657, plain, ( ~class_Groups_Ocancel__semigroup__add(_u1915) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1915), _u1916), _u1917) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1915), _u1918), _u1917)) | ( _u1916 = _u1918) )).
% 20.36/20.60 cnf(matrix-1658, plain, ( ~class_Groups_Ocancel__ab__semigroup__add(_u1919) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1919), _u1920), _u1921) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1919), _u1920), _u1922)) | ( _u1921 = _u1922) )).
% 20.36/20.60 cnf(matrix-1659, plain, ( ~class_Groups_Ocancel__semigroup__add(_u1923) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1923), _u1924), _u1925) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1923), _u1924), _u1926)) | ( _u1925 = _u1926) )).
% 20.36/20.60 cnf(matrix-1660, plain, ( ~class_Groups_Ocancel__semigroup__add(_u1927) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1927), _u1928), _u1929) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1927), _u1930), _u1929)) | ( _u1928 = _u1930) )).
% 20.36/20.60 cnf(matrix-1661, plain, ( ~class_Groups_Ocancel__semigroup__add(_u1927) | ( _u1928 != _u1930) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1927), _u1928), _u1929) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1927), _u1930), _u1929)) )).
% 20.36/20.60 cnf(matrix-1662, plain, ( ~class_Groups_Ocancel__semigroup__add(_u1931) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1931), _u1932), _u1933) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1931), _u1932), _u1934)) | ( _u1933 = _u1934) )).
% 20.36/20.60 cnf(matrix-1663, plain, ( ~class_Groups_Ocancel__semigroup__add(_u1931) | ( _u1933 != _u1934) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1931), _u1932), _u1933) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1931), _u1932), _u1934)) )).
% 20.36/20.60 cnf(matrix-1664, plain, ( ~class_Groups_Oab__semigroup__add(_u1935) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1935), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1935), _u1936), _u1937)), _u1938) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1935), _u1936), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1935), _u1937), _u1938))) )).
% 20.36/20.60 cnf(matrix-1665, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1939) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1939), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1939), _u1940), _u1941)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1939), _u1942), _u1941))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1939), _u1940), _u1942)) )).
% 20.36/20.60 cnf(matrix-1666, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1939) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1939), _u1940), _u1942)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1939), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1939), _u1940), _u1941)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1939), _u1942), _u1941))) )).
% 20.36/20.60 cnf(matrix-1667, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1943) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1943), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1943), _u1944), _u1945)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1943), _u1944), _u1946))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1943), _u1945), _u1946)) )).
% 20.36/20.60 cnf(matrix-1668, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1943) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1943), _u1945), _u1946)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1943), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1943), _u1944), _u1945)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1943), _u1944), _u1946))) )).
% 20.36/20.60 cnf(matrix-1669, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u1947) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1947), _u1948), _u1949)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1947), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1947), _u1948), _u1950)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1947), _u1949), _u1950))) )).
% 20.36/20.60 cnf(matrix-1670, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u1951) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1951), _u1952), _u1953)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1951), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1951), _u1954), _u1952)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1951), _u1954), _u1953))) )).
% 20.36/20.60 cnf(matrix-1671, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u1955) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1955), _u1956), _u1957)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1955), _u1958), _u1959)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1955), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1955), _u1956), _u1958)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1955), _u1957), _u1959))) )).
% 20.36/20.60 cnf(matrix-1672, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1960) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1960), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1960), _u1961), _u1962)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1960), _u1963), _u1962))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1960), _u1961), _u1963)) )).
% 20.36/20.60 cnf(matrix-1673, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1964) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1964), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1964), _u1965), _u1966)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1964), _u1965), _u1967))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1964), _u1966), _u1967)) )).
% 20.36/20.60 cnf(matrix-1674, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1968) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1968), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1968), _u1969), _u1970)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1968), _u1969), _u1971))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1968), _u1970), _u1971)) )).
% 20.36/20.60 cnf(matrix-1675, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1972) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1972), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1972), _u1973), _u1974)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1972), _u1975), _u1974))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1972), _u1973), _u1975)) )).
% 20.36/20.60 cnf(matrix-1676, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1976) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1976), _u1977), _u1978)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1976), _u1979), _u1980)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1976), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1976), _u1977), _u1979)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1976), _u1978), _u1980))) )).
% 20.36/20.60 cnf(matrix-1677, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1981) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1981), _u1982), _u1983)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1981), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1981), _u1984), _u1982)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1981), _u1984), _u1983))) )).
% 20.36/20.60 cnf(matrix-1678, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1985) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1985), _u1986), _u1987)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1985), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1985), _u1986), _u1988)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1985), _u1987), _u1988))) )).
% 20.36/20.60 cnf(matrix-1679, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1989) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1989), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1989), _u1990), _u1991)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1989), _u1990), _u1992))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1989), _u1991), _u1992)) )).
% 20.36/20.60 cnf(matrix-1680, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1989) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1989), _u1991), _u1992)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1989), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1989), _u1990), _u1991)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1989), _u1990), _u1992))) )).
% 20.36/20.60 cnf(matrix-1681, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1993) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_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(_u1993), _u1994), _u1996)) )).
% 20.36/20.60 cnf(matrix-1682, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1993) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1993), _u1994), _u1996)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1993), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1993), _u1994), _u1995)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1993), _u1996), _u1995))) )).
% 20.36/20.60 cnf(matrix-1683, plain, ( ~class_Lattices_Olattice(_u1997) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1997), _u1998)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u1997, _u1998) = hAPP(c_Finite__Set_Ofold1(_u1997, c_Lattices_Osemilattice__inf__class_Oinf(_u1997)), _u1998)) )).
% 20.36/20.60 cnf(matrix-1684, plain, ( ~class_Groups_Ogroup__add(_u1999) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1999), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1999), _u2000), _u2001)), _u2001) = _u2000) )).
% 20.36/20.60 cnf(matrix-1685, plain, ( ~class_Groups_Ogroup__add(_u2002) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2002), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2002), _u2003), _u2004)), _u2004) = _u2003) )).
% 20.36/20.60 cnf(matrix-1686, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u2005) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2005), _u2006), _u2007)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2005), _u2008), _u2009)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2005), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2005), _u2006), _u2008)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2005), _u2007), _u2009))) )).
% 20.36/20.60 cnf(matrix-1687, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u2010) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2010), _u2011), _u2012)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2010), _u2013), _u2014)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2010), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2010), _u2011), _u2013)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2010), _u2012), _u2014))) )).
% 20.36/20.60 cnf(matrix-1688, plain, ( ( _u2015 != c_Finite__Set_Ofold1(_u2016, _u2017)) | ( hAPP(_u2015, hAPP(hAPP(c_Set_Oinsert(_u2016), _u2018), c_Orderings_Obot__class_Obot(tc_fun(_u2016, tc_HOL_Obool)))) = _u2018) )).
% 20.36/20.60 cnf(matrix-1689, plain, ( ( hAPP(c_Finite__Set_Ofold1(_u2019, _u2020), hAPP(hAPP(c_Set_Oinsert(_u2019), _u2021), c_Orderings_Obot__class_Obot(tc_fun(_u2019, tc_HOL_Obool)))) = _u2021) )).
% 20.36/20.60 cnf(matrix-1690, plain, ( ~class_Lattices_Olattice(_u2022) | ( c_Big__Operators_Olattice__class_OInf__fin(_u2022, hAPP(hAPP(c_Set_Oinsert(_u2022), _u2023), c_Orderings_Obot__class_Obot(tc_fun(_u2022, tc_HOL_Obool)))) = _u2023) )).
% 20.36/20.60 cnf(matrix-1691, plain, ( ~c_Finite__Set_Ofolding__one(_u2024, _u2025, _u2026) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2024), _u2027)) | ( hAPP(_u2026, _u2027) = hAPP(c_Finite__Set_Ofold1(_u2024, _u2025), _u2027)) )).
% 20.36/20.60 cnf(matrix-1692, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2028), _u2029)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2028), _u2030)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2028, tc_Nat_Onat), _u2031), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2028, tc_HOL_Obool)), _u2029), _u2030)) = 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(_u2028, tc_Nat_Onat), _u2031), _u2029)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2028, tc_Nat_Onat), _u2031), _u2030))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2028, tc_Nat_Onat), _u2031), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2028, tc_HOL_Obool)), _u2029), _u2030)))) )).
% 20.36/20.60 cnf(matrix-1693, plain, ( ~class_Lattices_Olattice(_u2032) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2032), _u2033)) | ~hBOOL(hAPP(hAPP(c_member(_u2032), _u2034), _u2033)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2032), _u2034), c_Big__Operators_Olattice__class_OInf__fin(_u2032, _u2033)) = _u2034) )).
% 20.36/20.60 cnf(matrix-1694, plain, ( ~class_Lattices_Olattice(_u2035) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2035), _u2036)) | ~hBOOL(hAPP(hAPP(c_member(_u2035), _u2037), _u2036)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2035), _u2037), c_Big__Operators_Olattice__class_OInf__fin(_u2035, _u2036)) = c_Big__Operators_Olattice__class_OInf__fin(_u2035, _u2036)) )).
% 20.36/20.60 cnf(matrix-1695, plain, ( ~class_Lattices_Olattice(_u2038) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2038), _u2039)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u2038, _u2039) = hAPP(c_Finite__Set_Ofold1(_u2038, c_Lattices_Osemilattice__sup__class_Osup(_u2038)), _u2039)) )).
% 20.36/20.60 cnf(matrix-1696, plain, ( ~class_Groups_Ocomm__monoid__add(_u2040) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2041), _u2042)) | hBOOL(hAPP(hAPP(c_member(_u2041), _u2043), _u2042)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2041, _u2040), _u2044), hAPP(hAPP(c_Set_Oinsert(_u2041), _u2043), _u2042)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2040), hAPP(_u2044, _u2043)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2041, _u2040), _u2044), _u2042))) )).
% 20.36/20.60 cnf(matrix-1697, plain, ( ~class_Groups_Ocomm__monoid__add(_u2045) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2046), _u2047)) | hBOOL(hAPP(hAPP(c_member(_u2046), _u2048), _u2047)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2046, _u2045), _u2049), hAPP(hAPP(c_Set_Oinsert(_u2046), _u2048), _u2047)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2045), hAPP(_u2049, _u2048)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2046, _u2045), _u2049), _u2047))) )).
% 20.36/20.60 cnf(matrix-1698, plain, ( ~class_Groups_Ocomm__monoid__add(_u2050) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2051), _u2052)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2051), _u2053)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2050), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2051, _u2050), _u2054), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2051, tc_HOL_Obool)), _u2052), _u2053))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2051, _u2050), _u2054), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2051, tc_HOL_Obool)), _u2052), _u2053))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2050), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2051, _u2050), _u2054), _u2052)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2051, _u2050), _u2054), _u2053))) )).
% 20.36/20.60 cnf(matrix-1699, plain, ( ~class_Lattices_Osemilattice__inf(_u2055) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2055), _u2056)) | ~hBOOL(hAPP(hAPP(c_member(_u2055), _u2057), _u2056)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2055), hAPP(c_Finite__Set_Ofold1(_u2055, c_Lattices_Osemilattice__inf__class_Oinf(_u2055)), _u2056)), _u2057)) )).
% 20.36/20.60 cnf(matrix-1700, plain, ( ~class_Lattices_Osemilattice__inf(_u2060) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2060), _u2061)) | ( _u2061 = c_Orderings_Obot__class_Obot(tc_fun(_u2060, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2060), _u2062), hAPP(c_Finite__Set_Ofold1(_u2060, c_Lattices_Osemilattice__inf__class_Oinf(_u2060)), _u2061))) | ~hBOOL(hAPP(hAPP(c_member(_u2060), _u2058), _u2061)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2060), _u2062), _u2058)) )).
% 20.36/20.60 cnf(matrix-1701, plain, ( ~class_Lattices_Osemilattice__inf(_u2060) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2060), _u2061)) | ( _u2061 = c_Orderings_Obot__class_Obot(tc_fun(_u2060, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2060), _u2062), hAPP(c_Finite__Set_Ofold1(_u2060, c_Lattices_Osemilattice__inf__class_Oinf(_u2060)), _u2061))) | hBOOL(hAPP(hAPP(c_member(_u2060), skolem37(_u2062, _u2061, _u2060)), _u2061)) )).
% 20.36/20.60 cnf(matrix-1702, plain, ( ~class_Lattices_Osemilattice__inf(_u2060) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2060), _u2061)) | ( _u2061 = c_Orderings_Obot__class_Obot(tc_fun(_u2060, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2060), _u2062), hAPP(c_Finite__Set_Ofold1(_u2060, c_Lattices_Osemilattice__inf__class_Oinf(_u2060)), _u2061))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2060), _u2062), skolem37(_u2062, _u2061, _u2060))) )).
% 20.36/20.60 cnf(matrix-1703, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u2063) | ( _u2064 = c_Orderings_Obot__class_Obot(tc_fun(_u2063, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2063), _u2064)) | ( hAPP(c_Finite__Set_Ofold1(_u2063, c_Groups_Otimes__class_Otimes(_u2063)), hAPP(hAPP(c_Set_Oinsert(_u2063), _u2065), _u2064)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2063), _u2065), hAPP(c_Finite__Set_Ofold1(_u2063, c_Groups_Otimes__class_Otimes(_u2063)), _u2064))) )).
% 20.36/20.60 cnf(matrix-1704, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u2066) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2066), _u2067)) | ( _u2067 = c_Orderings_Obot__class_Obot(tc_fun(_u2066, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2066), _u2068)) | ( _u2068 = c_Orderings_Obot__class_Obot(tc_fun(_u2066, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u2066, c_Groups_Otimes__class_Otimes(_u2066)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2066, tc_HOL_Obool)), _u2067), _u2068)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2066), hAPP(c_Finite__Set_Ofold1(_u2066, c_Groups_Otimes__class_Otimes(_u2066)), _u2067)), hAPP(c_Finite__Set_Ofold1(_u2066, c_Groups_Otimes__class_Otimes(_u2066)), _u2068))) )).
% 20.36/20.60 cnf(matrix-1705, plain, ( ~class_Lattices_Olattice(_u2069) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2069), _u2070)) | ( _u2070 = c_Orderings_Obot__class_Obot(tc_fun(_u2069, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u2069, hAPP(hAPP(c_Set_Oinsert(_u2069), _u2071), _u2070)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2069), _u2071), c_Big__Operators_Olattice__class_OInf__fin(_u2069, _u2070))) )).
% 20.36/20.60 cnf(matrix-1706, plain, ( ~class_Lattices_Olattice(_u2072) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2072), _u2073)) | ( _u2074 = c_Orderings_Obot__class_Obot(tc_fun(_u2072, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2072, tc_HOL_Obool)), _u2074), _u2073)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2072), c_Big__Operators_Olattice__class_OInf__fin(_u2072, _u2074)), c_Big__Operators_Olattice__class_OInf__fin(_u2072, _u2073)) = c_Big__Operators_Olattice__class_OInf__fin(_u2072, _u2073)) )).
% 20.36/20.60 cnf(matrix-1707, plain, ( ~class_Lattices_Olattice(_u2075) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2075), _u2076)) | ( _u2076 = c_Orderings_Obot__class_Obot(tc_fun(_u2075, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2075), _u2077)) | ( _u2077 = c_Orderings_Obot__class_Obot(tc_fun(_u2075, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u2075, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2075, tc_HOL_Obool)), _u2076), _u2077)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2075), c_Big__Operators_Olattice__class_OInf__fin(_u2075, _u2076)), c_Big__Operators_Olattice__class_OInf__fin(_u2075, _u2077))) )).
% 20.36/20.60 cnf(matrix-1708, plain, ( ~class_Lattices_Olattice(_u2078) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2078), _u2079)) | ( _u2079 = c_Orderings_Obot__class_Obot(tc_fun(_u2078, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2078), c_Big__Operators_Olattice__class_OInf__fin(_u2078, _u2079)), c_Big__Operators_Olattice__class_OSup__fin(_u2078, _u2079))) )).
% 20.36/20.60 cnf(matrix-1709, plain, ( ~class_Groups_Ocomm__monoid__add(_u2080) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2081), _u2082)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2081, _u2080), _u2083), hAPP(hAPP(c_Set_Oinsert(_u2081), _u2084), _u2082)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2080), hAPP(_u2083, _u2084)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2081, _u2080), _u2083), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2081, tc_HOL_Obool)), _u2082), hAPP(hAPP(c_Set_Oinsert(_u2081), _u2084), c_Orderings_Obot__class_Obot(tc_fun(_u2081, tc_HOL_Obool))))))) )).
% 20.36/20.60 cnf(matrix-1710, plain, ( ~class_Groups_Ocomm__monoid__add(_u2085) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2086), _u2087)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2086), _u2088)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2086, tc_HOL_Obool)), _u2087), _u2088) != c_Orderings_Obot__class_Obot(tc_fun(_u2086, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2086, _u2085), _u2089), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2086, tc_HOL_Obool)), _u2087), _u2088)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2085), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2086, _u2085), _u2089), _u2087)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2086, _u2085), _u2089), _u2088))) )).
% 20.36/20.60 cnf(matrix-1711, plain, ( ~class_Groups_Oab__group__add(_u2090) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2091), _u2092)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2091), _u2093)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2091, _u2090), _u2094), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2091, tc_HOL_Obool)), _u2092), _u2093)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2090), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2090), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2091, _u2090), _u2094), _u2092)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2091, _u2090), _u2094), _u2093))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2091, _u2090), _u2094), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2091, tc_HOL_Obool)), _u2092), _u2093)))) )).
% 20.36/20.60 cnf(matrix-1712, plain, ( ~c_Big__Operators_Osemilattice__big(_u2095, _u2096, _u2097) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2095), _u2098)) | ( hAPP(_u2097, _u2098) = hAPP(c_Finite__Set_Ofold1(_u2095, _u2096), _u2098)) )).
% 20.36/20.60 cnf(matrix-1713, plain, ( ~class_Rings_Oordered__ring(_u2099) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2099), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2099), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2099), _u2100), _u2101)), _u2102)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2099), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2099), _u2103), _u2101)), _u2104))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2099), _u2102), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2099), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2099), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2099), _u2103), _u2100)), _u2101)), _u2104))) )).
% 20.36/20.60 cnf(matrix-1714, plain, ( ~class_Rings_Oordered__ring(_u2099) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2099), _u2102), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2099), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2099), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2099), _u2103), _u2100)), _u2101)), _u2104))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2099), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2099), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2099), _u2100), _u2101)), _u2102)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2099), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2099), _u2103), _u2101)), _u2104))) )).
% 20.36/20.60 cnf(matrix-1715, plain, ( ~class_Rings_Oordered__ring(_u2105) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2105), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2105), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2105), _u2106), _u2107)), _u2108)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2105), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2105), _u2109), _u2107)), _u2110))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2105), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2105), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2105), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2105), _u2106), _u2109)), _u2107)), _u2108)), _u2110)) )).
% 20.36/20.60 cnf(matrix-1716, plain, ( ~class_Rings_Oordered__ring(_u2105) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2105), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2105), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2105), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2105), _u2106), _u2109)), _u2107)), _u2108)), _u2110)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2105), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2105), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2105), _u2106), _u2107)), _u2108)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2105), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2105), _u2109), _u2107)), _u2110))) )).
% 20.36/20.60 cnf(matrix-1717, plain, ( ~class_Rings_Oordered__ring(_u2111) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2111), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2111), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2111), _u2112), _u2113)), _u2114)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2111), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2111), _u2115), _u2113)), _u2116))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2111), _u2114), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2111), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2111), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2111), _u2115), _u2112)), _u2113)), _u2116))) )).
% 20.36/20.60 cnf(matrix-1718, plain, ( ~class_Rings_Oordered__ring(_u2111) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2111), _u2114), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2111), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2111), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2111), _u2115), _u2112)), _u2113)), _u2116))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2111), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2111), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2111), _u2112), _u2113)), _u2114)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2111), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2111), _u2115), _u2113)), _u2116))) )).
% 20.36/20.60 cnf(matrix-1719, plain, ( ~class_Rings_Oordered__ring(_u2117) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2117), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2117), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2117), _u2118), _u2119)), _u2120)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2117), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2117), _u2121), _u2119)), _u2122))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2117), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2117), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2117), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2117), _u2118), _u2121)), _u2119)), _u2120)), _u2122)) )).
% 20.36/20.60 cnf(matrix-1720, plain, ( ~class_Rings_Oordered__ring(_u2117) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2117), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2117), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2117), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2117), _u2118), _u2121)), _u2119)), _u2120)), _u2122)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2117), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2117), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2117), _u2118), _u2119)), _u2120)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2117), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2117), _u2121), _u2119)), _u2122))) )).
% 20.36/20.60 cnf(matrix-1721, plain, ( ~class_Rings_Oring(_u2123) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2123), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2123), _u2124), _u2125)), _u2126) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2123), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2123), _u2127), _u2125)), _u2128)) | ( _u2126 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2123), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2123), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2123), _u2127), _u2124)), _u2125)), _u2128)) )).
% 20.36/20.60 cnf(matrix-1722, plain, ( ~class_Rings_Oring(_u2123) | ( _u2126 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2123), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2123), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2123), _u2127), _u2124)), _u2125)), _u2128)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2123), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2123), _u2124), _u2125)), _u2126) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2123), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2123), _u2127), _u2125)), _u2128)) )).
% 20.36/20.60 cnf(matrix-1723, plain, ( ~class_Rings_Oring(_u2129) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2129), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2129), _u2130), _u2131)), _u2132) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2129), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2129), _u2133), _u2131)), _u2134)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2129), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2129), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2129), _u2130), _u2133)), _u2131)), _u2132) = _u2134) )).
% 20.36/20.60 cnf(matrix-1724, plain, ( ~class_Rings_Oring(_u2129) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2129), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2129), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2129), _u2130), _u2133)), _u2131)), _u2132) != _u2134) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2129), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2129), _u2130), _u2131)), _u2132) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2129), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2129), _u2133), _u2131)), _u2134)) )).
% 20.36/20.60 cnf(matrix-1725, plain, ( ~class_Lattices_Olattice(_u2137) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2137), _u2138)) | ( _u2138 = c_Orderings_Obot__class_Obot(tc_fun(_u2137, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2137), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2137), skolem38(_u2138, _u2137)), skolem39(_u2138, _u2137))), hAPP(hAPP(c_Set_Oinsert(_u2137), skolem38(_u2138, _u2137)), hAPP(hAPP(c_Set_Oinsert(_u2137), skolem39(_u2138, _u2137)), c_Orderings_Obot__class_Obot(tc_fun(_u2137, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u2137), c_Big__Operators_Olattice__class_OInf__fin(_u2137, _u2138)), _u2138)) )).
% 20.36/20.60 cnf(matrix-1726, plain, ( ~class_Groups_Oab__semigroup__mult(_u2141) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2141), _u2142)) | ( _u2142 = c_Orderings_Obot__class_Obot(tc_fun(_u2141, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2141), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2141), skolem40(_u2142, _u2141)), skolem41(_u2142, _u2141))), hAPP(hAPP(c_Set_Oinsert(_u2141), skolem40(_u2142, _u2141)), hAPP(hAPP(c_Set_Oinsert(_u2141), skolem41(_u2142, _u2141)), c_Orderings_Obot__class_Obot(tc_fun(_u2141, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u2141), hAPP(c_Finite__Set_Ofold1(_u2141, c_Groups_Otimes__class_Otimes(_u2141)), _u2142)), _u2142)) )).
% 20.36/20.60 cnf(matrix-1727, plain, ( ~class_Rings_Ocomm__semiring__1(_u2143) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2143), _u2144), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2143), _u2145), _u2146)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2143), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2143), _u2144), _u2145)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2143), _u2144), _u2146))) )).
% 20.36/20.60 cnf(matrix-1728, plain, ( ~class_Rings_Olinordered__idom(_u2147) | ( _u2148 = _u2149) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2147), _u2148), _u2149)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2147), _u2149), _u2148)) )).
% 20.36/20.60 cnf(matrix-1729, plain, ( ~class_Rings_Ocomm__semiring__1(_u2150) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2150), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2150), _u2151), _u2152)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2150), _u2153), _u2154)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2150), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2150), _u2151), _u2153)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2150), _u2152), _u2154))) )).
% 20.36/20.60 cnf(matrix-1730, plain, ( ~class_Rings_Ocomm__semiring__1(_u2155) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2155), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2155), _u2156), _u2157)), _u2158) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2155), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2155), _u2156), _u2158)), _u2157)) )).
% 20.36/20.60 cnf(matrix-1731, plain, ( ~class_Rings_Ocomm__semiring__1(_u2159) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2159), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2159), _u2160), _u2161)), _u2162) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2159), _u2160), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2159), _u2161), _u2162))) )).
% 20.36/20.60 cnf(matrix-1732, plain, ( ~class_Rings_Ocomm__semiring__1(_u2163) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2163), _u2164), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2163), _u2165), _u2166)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2163), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2163), _u2164), _u2165)), _u2166)) )).
% 20.36/20.60 cnf(matrix-1733, plain, ( ~class_Rings_Ocomm__semiring__1(_u2167) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2167), _u2168), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2167), _u2169), _u2170)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2167), _u2169), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2167), _u2168), _u2170))) )).
% 20.36/20.60 cnf(matrix-1734, plain, ( ~class_Rings_Ocomm__semiring__1(_u2171) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2171), _u2172), _u2173) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2171), _u2173), _u2172)) )).
% 20.36/20.60 cnf(matrix-1735, plain, ( ~class_Rings_Ocomm__semiring__1(_u2174) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2174), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2174), _u2175), _u2176)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2174), _u2177), _u2178)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2174), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2174), _u2175), _u2177)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2174), _u2176), _u2178))) )).
% 20.36/20.60 cnf(matrix-1736, plain, ( ~class_Rings_Ocomm__semiring__1(_u2179) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2179), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2179), _u2180), _u2181)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2179), _u2182), _u2183)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2179), _u2182), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2179), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2179), _u2180), _u2181)), _u2183))) )).
% 20.36/20.60 cnf(matrix-1737, plain, ( ~class_Rings_Ocomm__semiring__1(_u2184) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2184), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2184), _u2185), _u2186)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2184), _u2187), _u2188)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2184), _u2185), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2184), _u2186), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2184), _u2187), _u2188)))) )).
% 20.36/20.60 cnf(matrix-1738, plain, ( ~class_Rings_Ocomm__semiring__1(_u2189) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2189), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2189), _u2190), _u2191)), _u2192) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2189), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2189), _u2190), _u2192)), _u2191)) )).
% 20.36/20.60 cnf(matrix-1739, plain, ( ~class_Rings_Ocomm__semiring__1(_u2193) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2193), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2193), _u2194), _u2195)), _u2196) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2193), _u2194), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2193), _u2195), _u2196))) )).
% 20.36/20.60 cnf(matrix-1740, plain, ( ~class_Rings_Ocomm__semiring__1(_u2197) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2197), _u2198), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2197), _u2199), _u2200)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2197), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2197), _u2198), _u2199)), _u2200)) )).
% 20.36/20.60 cnf(matrix-1741, plain, ( ~class_Rings_Ocomm__semiring__1(_u2201) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2201), _u2202), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2201), _u2203), _u2204)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2201), _u2203), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2201), _u2202), _u2204))) )).
% 20.36/20.60 cnf(matrix-1742, plain, ( ~class_Rings_Ocomm__semiring__1(_u2205) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2205), _u2206), _u2207) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2205), _u2207), _u2206)) )).
% 20.36/20.60 cnf(matrix-1743, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2208) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2208), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2208), _u2209), _u2210)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2208), _u2211), _u2212)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2208), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2208), _u2209), _u2212)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2208), _u2211), _u2210))) | ( _u2209 = _u2211) | ( _u2210 = _u2212) )).
% 20.36/20.60 cnf(matrix-1744, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2208) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2208), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2208), _u2209), _u2210)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2208), _u2211), _u2212)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2208), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2208), _u2209), _u2212)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2208), _u2211), _u2210))) | ( _u2209 != _u2211) )).
% 20.36/20.60 cnf(matrix-1745, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2208) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2208), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2208), _u2209), _u2210)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2208), _u2211), _u2212)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2208), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2208), _u2209), _u2212)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2208), _u2211), _u2210))) | ( _u2210 != _u2212) )).
% 20.36/20.60 cnf(matrix-1746, plain, ( ~class_Rings_Osemiring(_u2213) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2213), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2213), _u2214), _u2215)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2213), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2213), _u2216), _u2215)), _u2217)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2213), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2213), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2213), _u2214), _u2216)), _u2215)), _u2217)) )).
% 20.36/20.60 cnf(matrix-1747, plain, ( ~class_Rings_Ocomm__semiring__1(_u2218) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2218), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2218), _u2219), _u2220)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2218), _u2221), _u2220)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2218), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2218), _u2219), _u2221)), _u2220)) )).
% 20.36/20.60 cnf(matrix-1748, plain, ( ~class_Rings_Ocomm__semiring__1(_u2222) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2222), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2222), _u2223), _u2224)), _u2225) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2222), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2222), _u2223), _u2225)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2222), _u2224), _u2225))) )).
% 20.36/20.60 cnf(matrix-1749, plain, ( ~class_Rings_Ocomm__semiring(_u2226) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2226), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2226), _u2227), _u2228)), _u2229) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2226), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2226), _u2227), _u2229)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2226), _u2228), _u2229))) )).
% 20.36/20.60 cnf(matrix-1750, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2230) | ( _u2231 = _u2232) | ( _u2233 = _u2234) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2230), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2230), _u2231), _u2233)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2230), _u2232), _u2234)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2230), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2230), _u2231), _u2234)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2230), _u2232), _u2233))) )).
% 20.36/20.60 cnf(matrix-1751, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2230) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2230), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2230), _u2231), _u2233)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2230), _u2232), _u2234)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2230), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2230), _u2231), _u2234)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2230), _u2232), _u2233))) | ( _u2231 != _u2232) )).
% 20.36/20.60 cnf(matrix-1752, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2230) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2230), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2230), _u2231), _u2233)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2230), _u2232), _u2234)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2230), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2230), _u2231), _u2234)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2230), _u2232), _u2233))) | ( _u2233 != _u2234) )).
% 20.36/20.60 cnf(matrix-1753, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2235), _u2236)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2236), _u2237)), _u2235) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2236), _u2235)), _u2237)) )).
% 20.36/20.60 cnf(matrix-1754, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2238), _u2239)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2239), _u2238)), _u2240) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2239), _u2240)), _u2238)) )).
% 20.36/20.60 cnf(matrix-1755, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2241), _u2242)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2243), _u2242)), _u2241) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2243), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2242), _u2241))) )).
% 20.36/20.60 cnf(matrix-1756, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2244), _u2245)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2245), _u2244) != _u2246) | ( _u2245 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2246), _u2244)) )).
% 20.36/20.60 cnf(matrix-1757, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2244), _u2245)) | ( _u2245 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2246), _u2244)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2245), _u2244) = _u2246) )).
% 20.36/20.60 cnf(matrix-1758, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2247), _u2248)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2248), _u2247)), _u2247) = _u2248) )).
% 20.36/20.60 cnf(matrix-1759, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2249), _u2250)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2251), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2250), _u2249))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2251), _u2249)), _u2250)) )).
% 20.36/20.60 cnf(matrix-1760, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2249), _u2250)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2251), _u2249)), _u2250)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2251), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2250), _u2249))) )).
% 20.36/20.60 cnf(matrix-1761, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2252), _u2253)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2254), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2253), _u2252)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2254), _u2253)), _u2252)) )).
% 20.36/20.60 cnf(matrix-1762, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2255), _u2256)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2255), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2256), _u2255)) = _u2256) )).
% 20.36/20.60 cnf(matrix-1763, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2257), _u2258)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2259), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2258), _u2259)), _u2257))) )).
% 20.36/20.60 cnf(matrix-1764, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2263), _u2265)), _u2267)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2263), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2267), _u2265))) )).
% 20.36/20.60 cnf(matrix-1765, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2264), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2268), _u2266))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2264), _u2266)), _u2268)) )).
% 20.36/20.60 cnf(matrix-1766, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2269), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2269), _u2269))) )).
% 20.36/20.60 cnf(matrix-1767, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2270), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2270), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2270), _u2270)))) )).
% 20.36/20.60 cnf(matrix-1768, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2271), _u2272)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2271), _u2273)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2272), _u2273))) )).
% 20.36/20.60 cnf(matrix-1769, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2274), _u2275)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2276), _u2274)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2276), _u2275))) )).
% 20.36/20.60 cnf(matrix-1770, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2277), _u2278)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2279), _u2280)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2277), _u2279)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2278), _u2280))) )).
% 20.36/20.60 cnf(matrix-1771, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2281), _u2282)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2282), _u2281)) | ( _u2281 = _u2282) )).
% 20.36/20.60 cnf(matrix-1772, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2283), _u2284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2284), _u2285)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2283), _u2285)) )).
% 20.36/20.60 cnf(matrix-1773, plain, ( ( _u2286 != _u2287) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2286), _u2287)) )).
% 20.36/20.60 cnf(matrix-1774, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2288), _u2289)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2289), _u2288)) )).
% 20.36/20.60 cnf(matrix-1775, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2290), _u2290)) )).
% 20.36/20.60 cnf(matrix-1776, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2291), _u2292)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2291), _u2292)) )).
% 20.36/20.60 cnf(matrix-1777, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2291), _u2292)) | ( _u2291 != _u2292) )).
% 20.36/20.60 cnf(matrix-1778, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2293), _u2294)) | ( _u2293 = _u2294) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2293), _u2294)) )).
% 20.36/20.60 cnf(matrix-1779, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2295), _u2296)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2295), _u2296)) )).
% 20.36/20.60 cnf(matrix-1780, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2299), _u2301)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2299), _u2301)) | ( _u2299 = _u2301) )).
% 20.36/20.60 cnf(matrix-1781, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2300), _u2302)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2300), _u2302)) )).
% 20.36/20.60 cnf(matrix-1782, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2300), _u2302)) | ( _u2300 != _u2302) )).
% 20.36/20.60 cnf(matrix-1783, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2305), _u2307)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2305), _u2307)) )).
% 20.36/20.60 cnf(matrix-1784, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2305), _u2307)) | ( _u2305 != _u2307) )).
% 20.36/20.60 cnf(matrix-1785, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2306), _u2308)) | ( _u2306 = _u2308) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2306), _u2308)) )).
% 20.36/20.60 cnf(matrix-1786, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2312), _u2314) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2316), _u2314)) | ( _u2312 = _u2316) )).
% 20.36/20.60 cnf(matrix-1787, plain, ( ( _u2313 != _u2317) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2313), _u2315) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2317), _u2315)) )).
% 20.36/20.60 cnf(matrix-1788, plain, ( ( _u2323 = _u2325) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2321), _u2323) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2321), _u2325)) )).
% 20.36/20.60 cnf(matrix-1789, plain, ( ( _u2324 != _u2326) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2322), _u2324) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2322), _u2326)) )).
% 20.36/20.60 cnf(matrix-1790, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2327), _u2328)), _u2329) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2327), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2328), _u2329))) )).
% 20.36/20.60 cnf(matrix-1791, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2330), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2331), _u2332)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2331), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2330), _u2332))) )).
% 20.36/20.60 cnf(matrix-1792, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2333), _u2334) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2334), _u2333)) )).
% 20.36/20.60 cnf(matrix-1793, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2335), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2336), _u2335))) )).
% 20.36/20.60 cnf(matrix-1794, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2337), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2337), _u2338))) )).
% 20.36/20.60 cnf(matrix-1795, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2343), _u2345)) | ( _u2345 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2343), skolem42(_u2345, _u2343))) )).
% 20.36/20.60 cnf(matrix-1796, plain, ( ( _u2346 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2344), _u2340)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2344), _u2346)) )).
% 20.36/20.60 cnf(matrix-1797, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2352), _u2354)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2350), _u2352)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2350), _u2354))) )).
% 20.36/20.60 cnf(matrix-1798, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2353), _u2355)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2351), _u2353)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2351), _u2355))) )).
% 20.36/20.60 cnf(matrix-1799, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2356), _u2357)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2356), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2357), _u2358))) )).
% 20.36/20.60 cnf(matrix-1800, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2359), _u2360)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2359), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2361), _u2360))) )).
% 20.36/20.60 cnf(matrix-1801, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2362), _u2363)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2362), _u2364)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2363), _u2364))) )).
% 20.36/20.60 cnf(matrix-1802, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2365), _u2366)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2367), _u2368)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2365), _u2367)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2366), _u2368))) )).
% 20.36/20.60 cnf(matrix-1803, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2370), _u2371)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2369), _u2370)), _u2371)) )).
% 20.36/20.60 cnf(matrix-1804, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2372), _u2373)), _u2374)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2372), _u2374)) )).
% 20.36/20.60 cnf(matrix-1805, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2375), _u2376)), _u2377)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2375), _u2377)) )).
% 20.36/20.60 cnf(matrix-1806, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2375), _u2376)), _u2377)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2376), _u2377)) )).
% 20.36/20.60 cnf(matrix-1807, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2378), _u2379)), _u2378)) )).
% 20.36/20.60 cnf(matrix-1808, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2380), _u2381)), _u2381)) )).
% 20.36/20.60 cnf(matrix-1809, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2382), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2383), _u2384)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2382), _u2383)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2382), _u2384))) )).
% 20.36/20.60 cnf(matrix-1810, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2385), _u2386)), _u2387) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2385), _u2387)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2386), _u2387))) )).
% 20.36/20.60 cnf(matrix-1811, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2393), _u2395)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2391), _u2393)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2391), _u2395))) )).
% 20.36/20.60 cnf(matrix-1812, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2394), _u2396)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2392), _u2394)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2392), _u2396))) )).
% 20.36/20.60 cnf(matrix-1813, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2397), _u2398)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2397), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2398), _u2399))) )).
% 20.36/20.60 cnf(matrix-1814, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2400), _u2401)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2400), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2402), _u2401))) )).
% 20.36/20.60 cnf(matrix-1815, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2403), _u2404)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2403), _u2405)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2404), _u2405))) )).
% 20.36/20.60 cnf(matrix-1816, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2406), _u2407)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2408), _u2409)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2406), _u2408)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2407), _u2409))) )).
% 20.36/20.60 cnf(matrix-1817, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2410), _u2411)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2412), _u2411) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2410), _u2413)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2412), _u2413)) )).
% 20.36/20.60 cnf(matrix-1818, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2414), _u2415)), _u2416)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2414), _u2416)) )).
% 20.36/20.60 cnf(matrix-1819, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2417), _u2418)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2417), _u2419)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2418), _u2417)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2419), _u2417))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2418), _u2419)) )).
% 20.36/20.60 cnf(matrix-1820, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2417), _u2418)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2417), _u2419)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2418), _u2419)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2418), _u2417)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2419), _u2417))) )).
% 20.36/20.60 cnf(matrix-1821, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2420), _u2421)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2422), _u2420)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2420), _u2422)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2421), _u2422))) )).
% 20.36/20.60 cnf(matrix-1822, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2423), _u2424)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2423), _u2425)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2425), _u2424)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2425), _u2423))) )).
% 20.36/20.60 cnf(matrix-1823, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2426), _u2427)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2426), _u2428)), _u2427)) )).
% 20.36/20.60 cnf(matrix-1824, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2429), _u2430)), _u2431) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2429), _u2431)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2430), _u2431))) )).
% 20.36/20.60 cnf(matrix-1825, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2432), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2433), _u2434)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2432), _u2433)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2432), _u2434))) )).
% 20.36/20.60 cnf(matrix-1826, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2435), _u2436)), _u2437) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2435), _u2437)), _u2436)) )).
% 20.36/20.60 cnf(matrix-1827, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2438), _u2439)), _u2438)) )).
% 20.36/20.60 cnf(matrix-1828, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2440), _u2441)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2442), _u2441)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2442), _u2440))) )).
% 20.36/20.60 cnf(matrix-1829, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2443), _u2444)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2443), _u2445)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2444), _u2445))) )).
% 20.36/20.60 cnf(matrix-1830, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2446), _u2447)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2447), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2447), _u2446)) = _u2446) )).
% 20.36/20.60 cnf(matrix-1831, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2448), _u2449)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2448), _u2450)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2449), _u2448) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2450), _u2448)) | ( _u2449 = _u2450) )).
% 20.36/20.60 cnf(matrix-1832, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2448), _u2449)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2448), _u2450)) | ( _u2449 != _u2450) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2449), _u2448) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2450), _u2448)) )).
% 20.36/20.60 cnf(matrix-1833, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2451), _u2452)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2451), _u2453)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2452), _u2451)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2453), _u2451)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2452), _u2453)) )).
% 20.36/20.60 cnf(matrix-1834, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2454), _u2455)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2454), _u2456)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2455), _u2454)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2456), _u2454))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2455), _u2456)) )).
% 20.36/20.60 cnf(matrix-1835, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2454), _u2455)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2454), _u2456)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2455), _u2456)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2455), _u2454)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2456), _u2454))) )).
% 20.36/20.60 cnf(matrix-1836, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2457), _u2458)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2458), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2457), _u2458)) = _u2457) )).
% 20.36/20.60 cnf(matrix-1837, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2462), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2464), _u2466))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2462), _u2466)), _u2464)) )).
% 20.36/20.60 cnf(matrix-1838, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2463), _u2467)), _u2465)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2463), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2465), _u2467))) )).
% 20.36/20.60 cnf(matrix-1839, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2468), _u2469)), _u2469) = _u2468) )).
% 20.36/20.60 cnf(matrix-1840, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2470), _u2471)), _u2470) = _u2471) )).
% 20.36/20.60 cnf(matrix-1841, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2472), _u2473)), _u2474) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2472), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2473), _u2474))) )).
% 20.36/20.60 cnf(matrix-1842, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2475), _u2476)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2475), _u2477)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2476), _u2477)) )).
% 20.36/20.60 cnf(matrix-1843, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2478), _u2479)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2480), _u2479)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2478), _u2480)) )).
% 20.36/20.60 cnf(matrix-1844, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2481), _u2482)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2483), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2482), _u2481)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2483), _u2481)), _u2482)) )).
% 20.36/20.60 cnf(matrix-1845, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2484), _u2485)) | ~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), _u2485), _u2486)), _u2487)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2484), _u2486)), _u2488))) | 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), _u2485), _u2484)), _u2486)), _u2487)), _u2488)) )).
% 20.36/20.60 cnf(matrix-1846, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2484), _u2485)) | ~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), _u2485), _u2484)), _u2486)), _u2487)), _u2488)) | 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), _u2485), _u2486)), _u2487)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2484), _u2486)), _u2488))) )).
% 20.36/20.60 cnf(matrix-1847, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2489), _u2490)) | ~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), _u2490), _u2491)), _u2492)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2489), _u2491)), _u2493))) | 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), _u2490), _u2489)), _u2491)), _u2492)), _u2493)) )).
% 20.36/20.60 cnf(matrix-1848, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2489), _u2490)) | ~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), _u2490), _u2489)), _u2491)), _u2492)), _u2493)) | 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), _u2490), _u2491)), _u2492)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2489), _u2491)), _u2493))) )).
% 20.36/20.60 cnf(matrix-1849, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2494), _u2495)) | ( 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), _u2495), _u2496)), _u2497)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2494), _u2496)), _u2498)) = 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), _u2495), _u2494)), _u2496)), _u2497)), _u2498)) )).
% 20.36/20.60 cnf(matrix-1850, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2499), _u2500)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2500), _u2501)), _u2502) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2499), _u2501)), _u2503)) | ( 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), _u2500), _u2499)), _u2501)), _u2502) = _u2503) )).
% 20.36/20.60 cnf(matrix-1851, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2499), _u2500)) | ( 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), _u2500), _u2499)), _u2501)), _u2502) != _u2503) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2500), _u2501)), _u2502) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2499), _u2501)), _u2503)) )).
% 20.36/20.60 cnf(matrix-1852, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2504), _u2505)) | ~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), _u2504), _u2506)), _u2507)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2505), _u2506)), _u2508))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2507), 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), _u2505), _u2504)), _u2506)), _u2508))) )).
% 20.36/20.60 cnf(matrix-1853, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2504), _u2505)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2507), 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), _u2505), _u2504)), _u2506)), _u2508))) | 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), _u2504), _u2506)), _u2507)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2505), _u2506)), _u2508))) )).
% 20.36/20.60 cnf(matrix-1854, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2509), _u2510)) | ~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), _u2509), _u2511)), _u2512)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2510), _u2511)), _u2513))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2512), 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), _u2510), _u2509)), _u2511)), _u2513))) )).
% 20.36/20.60 cnf(matrix-1855, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2509), _u2510)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2512), 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), _u2510), _u2509)), _u2511)), _u2513))) | 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), _u2509), _u2511)), _u2512)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2510), _u2511)), _u2513))) )).
% 20.36/20.60 cnf(matrix-1856, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2514), _u2515)) | ( 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), _u2514), _u2516)), _u2517)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2515), _u2516)), _u2518)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2517), 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), _u2515), _u2514)), _u2516)), _u2518))) )).
% 20.36/20.60 cnf(matrix-1857, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2519), _u2520)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2519), _u2521)), _u2522) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2520), _u2521)), _u2523)) | ( _u2522 = 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), _u2520), _u2519)), _u2521)), _u2523)) )).
% 20.36/20.60 cnf(matrix-1858, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2519), _u2520)) | ( _u2522 != 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), _u2520), _u2519)), _u2521)), _u2523)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2519), _u2521)), _u2522) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2520), _u2521)), _u2523)) )).
% 20.36/20.60 cnf(matrix-1859, 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), _u2524), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2525), _u2526))) )).
% 20.36/20.60 cnf(matrix-1860, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2527), _u2528)), _u2529) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2527), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2528), _u2529))) )).
% 20.36/20.60 cnf(matrix-1861, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2530), _u2531) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2531), _u2530)) )).
% 20.36/20.60 cnf(matrix-1862, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2532), _u2532)) )).
% 20.36/20.60 cnf(matrix-1863, plain, ( ( _u2535 = _u2537) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2535), _u2537)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2537), _u2535)) )).
% 20.36/20.60 cnf(matrix-1864, plain, ( ( _u2536 != _u2538) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2536), _u2538)) )).
% 20.36/20.60 cnf(matrix-1865, plain, ( ( _u2536 != _u2538) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2538), _u2536)) )).
% 20.36/20.60 cnf(matrix-1866, plain, ( ( _u2539 = _u2540) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2539), _u2540)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2540), _u2539)) )).
% 20.36/20.60 cnf(matrix-1867, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2541), _u2541)) )).
% 20.36/20.60 cnf(matrix-1868, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2542), _u2543)) | ( _u2543 != _u2542) )).
% 20.36/20.60 cnf(matrix-1869, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2544), _u2545)) | ( _u2544 != _u2545) )).
% 20.36/20.60 cnf(matrix-1870, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2546), _u2547)) | ( _u2546 = _u2547) | hBOOL(hAPP(hAPP(_u2548, _u2547), _u2546)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2547), _u2546)) )).
% 20.36/20.60 cnf(matrix-1871, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2549), _u2550)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2549), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2551), _u2550))) )).
% 20.36/20.60 cnf(matrix-1872, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2552), _u2553)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2552), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2553), _u2554))) )).
% 20.36/20.60 cnf(matrix-1873, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2555), _u2556)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2557), _u2556)), _u2558)) = 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), _u2555), _u2557)), _u2556)), _u2558)) )).
% 20.36/20.60 cnf(matrix-1874, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2559), _u2560)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2559), _u2560)) )).
% 20.36/20.60 cnf(matrix-1875, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2561), _u2562)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2561), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2563), _u2562))) )).
% 20.36/20.60 cnf(matrix-1876, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2564), _u2565)) | ~hBOOL(hAPP(hAPP(c_member(_u2564), _u2566), _u2565)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2564), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2564, tc_HOL_Obool)), _u2565), hAPP(hAPP(c_Set_Oinsert(_u2564), _u2566), c_Orderings_Obot__class_Obot(tc_fun(_u2564, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u2564), _u2565))) )).
% 20.36/20.60 cnf(matrix-1877, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2567), _u2568)) | ~hBOOL(hAPP(hAPP(c_member(_u2567), _u2569), _u2568)) | ~hBOOL(hAPP(hAPP(c_member(_u2567), _u2570), _u2568)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2567), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2567, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2567, tc_HOL_Obool)), _u2568), hAPP(hAPP(c_Set_Oinsert(_u2567), _u2569), c_Orderings_Obot__class_Obot(tc_fun(_u2567, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u2567), _u2570), c_Orderings_Obot__class_Obot(tc_fun(_u2567, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u2567), _u2568))) )).
% 20.36/20.60 cnf(matrix-1878, plain, ( ~class_Groups_Ocomm__monoid__mult(_u2571) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2572), _u2573)) | ~hBOOL(hAPP(hAPP(c_member(_u2572), _u2574), _u2573)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2572, _u2571), _u2575), _u2573) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2571), hAPP(_u2575, _u2574)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2572, _u2571), _u2575), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2572, tc_HOL_Obool)), _u2573), hAPP(hAPP(c_Set_Oinsert(_u2572), _u2574), c_Orderings_Obot__class_Obot(tc_fun(_u2572, tc_HOL_Obool))))))) )).
% 20.36/20.60 cnf(matrix-1879, plain, ( ~class_Lattices_Olattice(_u2576) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2576), _u2577)) | hBOOL(hAPP(hAPP(c_member(_u2576), _u2578), _u2577)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u2576, hAPP(hAPP(c_Set_Oinsert(_u2576), _u2578), _u2577)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2576, _u2576, c_Lattices_Osemilattice__inf__class_Oinf(_u2576)), _u2578), _u2577)) )).
% 20.36/20.60 cnf(matrix-1880, plain, ( ~class_Lattices_Olattice(_u2579) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2579), _u2580)) | hBOOL(hAPP(hAPP(c_member(_u2579), _u2581), _u2580)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u2579, hAPP(hAPP(c_Set_Oinsert(_u2579), _u2581), _u2580)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2579, _u2579, c_Lattices_Osemilattice__sup__class_Osup(_u2579)), _u2581), _u2580)) )).
% 20.36/20.60 cnf(matrix-1881, plain, ( ~class_Groups_Oab__semigroup__mult(_u2582) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2582), _u2583)) | hBOOL(hAPP(hAPP(c_member(_u2582), _u2584), _u2583)) | ( hAPP(c_Finite__Set_Ofold1(_u2582, c_Groups_Otimes__class_Otimes(_u2582)), hAPP(hAPP(c_Set_Oinsert(_u2582), _u2584), _u2583)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2582, _u2582, c_Groups_Otimes__class_Otimes(_u2582)), _u2584), _u2583)) )).
% 20.36/20.60 cnf(matrix-1882, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2587), _u2588)) | ~hBOOL(hAPP(_u2589, c_Orderings_Obot__class_Obot(tc_fun(_u2587, tc_HOL_Obool)))) | hBOOL(hAPP(_u2589, _u2588)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2587), skolem44(_u2589, _u2588, _u2587))) )).
% 20.36/20.60 cnf(matrix-1883, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2587), _u2588)) | ~hBOOL(hAPP(_u2589, c_Orderings_Obot__class_Obot(tc_fun(_u2587, tc_HOL_Obool)))) | hBOOL(hAPP(_u2589, _u2588)) | ~hBOOL(hAPP(hAPP(c_member(_u2587), skolem43(_u2589, _u2588, _u2587)), skolem44(_u2589, _u2588, _u2587))) )).
% 20.36/20.60 cnf(matrix-1884, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2587), _u2588)) | ~hBOOL(hAPP(_u2589, c_Orderings_Obot__class_Obot(tc_fun(_u2587, tc_HOL_Obool)))) | hBOOL(hAPP(_u2589, _u2588)) | hBOOL(hAPP(_u2589, skolem44(_u2589, _u2588, _u2587))) )).
% 20.36/20.60 cnf(matrix-1885, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2587), _u2588)) | ~hBOOL(hAPP(_u2589, c_Orderings_Obot__class_Obot(tc_fun(_u2587, tc_HOL_Obool)))) | hBOOL(hAPP(_u2589, _u2588)) | ~hBOOL(hAPP(_u2589, hAPP(hAPP(c_Set_Oinsert(_u2587), skolem43(_u2589, _u2588, _u2587)), skolem44(_u2589, _u2588, _u2587)))) )).
% 20.36/20.60 cnf(matrix-1886, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2590), _u2591), _u2592)) | ~c_Nitpick_Ofold__graph_H(_u2590, _u2593, _u2594, _u2595, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2590, tc_HOL_Obool)), _u2592), hAPP(hAPP(c_Set_Oinsert(_u2590), _u2591), c_Orderings_Obot__class_Obot(tc_fun(_u2590, tc_HOL_Obool)))), _u2596) | c_Nitpick_Ofold__graph_H(_u2590, _u2593, _u2594, _u2595, _u2592, hAPP(hAPP(_u2594, _u2591), _u2596)) )).
% 20.36/20.60 cnf(matrix-1887, plain, ( ~class_Orderings_Olinorder(_u2597) | ( _u2598 = c_Orderings_Obot__class_Obot(tc_fun(_u2597, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2597, tc_HOL_Obool)), _u2598), _u2599)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2597), _u2599)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2597), hAPP(c_Finite__Set_Ofold1(_u2597, c_Orderings_Oord__class_Omin(_u2597)), _u2599)), hAPP(c_Finite__Set_Ofold1(_u2597, c_Orderings_Oord__class_Omin(_u2597)), _u2598))) )).
% 20.36/20.60 cnf(matrix-1888, plain, ( ~class_Orderings_Olinorder(_u2600) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2600), _u2601), _u2601) = _u2601) )).
% 20.36/20.60 cnf(matrix-1889, plain, ( ~class_Orderings_Olinorder(_u2602) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2602), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2602), _u2603), _u2604)), _u2605) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2602), _u2603), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2602), _u2604), _u2605))) )).
% 20.36/20.60 cnf(matrix-1890, plain, ( ~class_Orderings_Olinorder(_u2606) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2606), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2606), _u2607), _u2608)), _u2609) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2606), _u2607), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2606), _u2608), _u2609))) )).
% 20.36/20.60 cnf(matrix-1891, plain, ( ~class_Orderings_Olinorder(_u2610) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2610), _u2611), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2610), _u2612), _u2613)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2610), _u2612), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2610), _u2611), _u2613))) )).
% 20.36/20.60 cnf(matrix-1892, plain, ( ~class_Orderings_Olinorder(_u2614) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2614), _u2615), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2614), _u2616), _u2617)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2614), _u2616), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2614), _u2615), _u2617))) )).
% 20.36/20.60 cnf(matrix-1893, plain, ( ~class_Orderings_Olinorder(_u2618) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2618), _u2619), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2618), _u2619), _u2620)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2618), _u2619), _u2620)) )).
% 20.36/20.60 cnf(matrix-1894, plain, ( ~class_Orderings_Olinorder(_u2621) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2621), _u2622), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2621), _u2622), _u2623)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2621), _u2622), _u2623)) )).
% 20.36/20.60 cnf(matrix-1895, plain, ( ~class_Orderings_Olinorder(_u2624) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2624), _u2625), _u2626) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2624), _u2626), _u2625)) )).
% 20.36/20.60 cnf(matrix-1896, plain, ( ~class_Orderings_Olinorder(_u2627) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2627), _u2628), _u2629) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2627), _u2629), _u2628)) )).
% 20.36/20.60 cnf(matrix-1897, plain, ( ~class_Orderings_Olinorder(_u2630) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2630), _u2631), _u2631) = _u2631) )).
% 20.36/20.60 cnf(matrix-1898, plain, ( ~class_Orderings_Olinorder(_u2632) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2632), _u2633)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u2632, _u2632, c_Orderings_Oord__class_Omin(_u2632)), _u2634), hAPP(hAPP(c_Set_Oinsert(_u2632), _u2635), _u2633)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2632), _u2635), hAPP(hAPP(c_Finite__Set_Ofold(_u2632, _u2632, c_Orderings_Oord__class_Omin(_u2632)), _u2634), _u2633))) )).
% 20.36/20.60 cnf(matrix-1899, plain, ( ~class_Orderings_Olinorder(_u2636) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2636), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2636), _u2637), _u2638)), _u2637)) )).
% 20.36/20.60 cnf(matrix-1900, plain, ( ~class_Orderings_Olinorder(_u2639) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2639), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2639), _u2640), _u2641)), _u2641)) )).
% 20.36/20.60 cnf(matrix-1901, plain, ( ~class_Orderings_Olinorder(_u2642) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2642), _u2643), _u2644)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2642), _u2643), _u2644) = _u2643) )).
% 20.36/20.60 cnf(matrix-1902, plain, ( ~class_Orderings_Olinorder(_u2642) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2642), _u2643), _u2644) != _u2643) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2642), _u2643), _u2644)) )).
% 20.36/20.60 cnf(matrix-1903, plain, ( ~class_Orderings_Olinorder(_u2645) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2645), _u2646), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2645), _u2647), _u2648))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2645), _u2646), _u2647)) )).
% 20.36/20.60 cnf(matrix-1904, plain, ( ~class_Orderings_Olinorder(_u2645) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2645), _u2646), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2645), _u2647), _u2648))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2645), _u2646), _u2648)) )).
% 20.36/20.60 cnf(matrix-1905, plain, ( ~class_Orderings_Olinorder(_u2645) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2645), _u2646), _u2647)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2645), _u2646), _u2648)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2645), _u2646), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2645), _u2647), _u2648))) )).
% 20.36/20.60 cnf(matrix-1906, plain, ( ~class_Orderings_Olinorder(_u2649) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2649), _u2650), _u2651)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2649), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2649), _u2650), _u2652)), _u2651)) )).
% 20.36/20.60 cnf(matrix-1907, plain, ( ~class_Orderings_Olinorder(_u2653) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2653), _u2654), _u2655)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2653), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2653), _u2656), _u2654)), _u2655)) )).
% 20.36/20.60 cnf(matrix-1908, plain, ( ~class_Orderings_Olinorder(_u2657) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2657), _u2658), _u2659)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2657), _u2658), _u2659) = _u2658) )).
% 20.36/20.60 cnf(matrix-1909, plain, ( ~class_Orderings_Olinorder(_u2660) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2660), _u2661), _u2662)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2660), _u2662), _u2661) = _u2661) )).
% 20.36/20.60 cnf(matrix-1910, plain, ( ~class_Orderings_Olinorder(_u2663) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2663), _u2664), _u2665)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2663), _u2664), _u2666)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2663), _u2664), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2663), _u2665), _u2666))) )).
% 20.36/20.60 cnf(matrix-1911, plain, ( ~class_Orderings_Olinorder(_u2667) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2667), _u2668), _u2669)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2667), _u2668), _u2670)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2667), _u2668), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2667), _u2669), _u2670))) )).
% 20.36/20.60 cnf(matrix-1912, plain, ( ~class_Orderings_Olinorder(_u2671) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2671), _u2672), _u2673)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2671), _u2674), _u2675)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2671), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2671), _u2672), _u2674)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2671), _u2673), _u2675))) )).
% 20.36/20.60 cnf(matrix-1913, plain, ( ~class_Orderings_Olinorder(_u2676) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2676), _u2677), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2676), _u2678), _u2679))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2676), _u2677), _u2678)) )).
% 20.36/20.60 cnf(matrix-1914, plain, ( ~class_Orderings_Olinorder(_u2676) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2676), _u2677), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2676), _u2678), _u2679))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2676), _u2677), _u2679)) )).
% 20.36/20.60 cnf(matrix-1915, plain, ( ~class_Orderings_Olinorder(_u2680) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2680), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2680), _u2681), _u2682)), _u2683)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2680), _u2681), _u2683)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2680), _u2682), _u2683)) )).
% 20.36/20.60 cnf(matrix-1916, plain, ( ~class_Orderings_Olinorder(_u2680) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2680), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2680), _u2681), _u2682)), _u2683)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2680), _u2681), _u2683)) )).
% 20.36/20.60 cnf(matrix-1917, plain, ( ~class_Orderings_Olinorder(_u2680) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2680), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2680), _u2681), _u2682)), _u2683)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2680), _u2682), _u2683)) )).
% 20.36/20.60 cnf(matrix-1918, plain, ( ~class_Orderings_Olinorder(_u2684) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2684), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2684), _u2685), _u2686)), _u2687)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2684), _u2685), _u2687)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2684), _u2686), _u2687)) )).
% 20.36/20.60 cnf(matrix-1919, plain, ( ~class_Orderings_Olinorder(_u2684) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2684), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2684), _u2685), _u2686)), _u2687)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2684), _u2685), _u2687)) )).
% 20.36/20.60 cnf(matrix-1920, plain, ( ~class_Orderings_Olinorder(_u2684) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2684), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2684), _u2685), _u2686)), _u2687)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2684), _u2686), _u2687)) )).
% 20.36/20.60 cnf(matrix-1921, plain, ( ~class_Orderings_Olinorder(_u2688) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2688), _u2689), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2688), _u2690), _u2691))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2688), _u2689), _u2690)) )).
% 20.36/20.60 cnf(matrix-1922, plain, ( ~class_Orderings_Olinorder(_u2688) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2688), _u2689), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2688), _u2690), _u2691))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2688), _u2689), _u2691)) )).
% 20.36/20.60 cnf(matrix-1923, plain, ( ~class_Orderings_Olinorder(_u2688) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2688), _u2689), _u2690)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2688), _u2689), _u2691)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2688), _u2689), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2688), _u2690), _u2691))) )).
% 20.36/20.60 cnf(matrix-1924, plain, ( ~class_Orderings_Olinorder(_u2692) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2692), _u2693), _u2694)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2692), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2692), _u2695), _u2693)), _u2694)) )).
% 20.36/20.60 cnf(matrix-1925, plain, ( ~class_Orderings_Olinorder(_u2696) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2696), _u2697), _u2698)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2696), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2696), _u2697), _u2699)), _u2698)) )).
% 20.36/20.60 cnf(matrix-1926, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2700) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2700), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2700), _u2701), _u2702)), _u2703) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2700), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2700), _u2701), _u2703)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2700), _u2702), _u2703))) )).
% 20.36/20.60 cnf(matrix-1927, plain, ( ~class_Groups_Oordered__ab__group__add(_u2704) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2704), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2704), _u2705), _u2706)), _u2707) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2704), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2704), _u2705), _u2707)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2704), _u2706), _u2707))) )).
% 20.36/20.60 cnf(matrix-1928, plain, ( c_Nitpick_Ofold__graph_H(_u2708, _u2709, _u2710, _u2711, c_Orderings_Obot__class_Obot(tc_fun(_u2708, tc_HOL_Obool)), _u2711) )).
% 20.36/20.60 cnf(matrix-1929, plain, ( c_Nitpick_Ofold__graph_H(_u2712, _u2713, _u2714, _u2715, c_Orderings_Obot__class_Obot(tc_fun(_u2712, tc_HOL_Obool)), _u2715) )).
% 20.36/20.60 cnf(matrix-1930, plain, ( ~class_Lattices_Osemilattice__inf(_u2716) | ~class_Orderings_Olinorder(_u2716) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u2716) = c_Orderings_Oord__class_Omin(_u2716)) )).
% 20.36/20.60 cnf(matrix-1931, plain, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u2717, _u2718, _u2719), _u2720), c_Orderings_Obot__class_Obot(tc_fun(_u2717, tc_HOL_Obool))) = _u2720) )).
% 20.36/20.60 cnf(matrix-1932, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2721), _u2722)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2723), _u2722)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u2721), _u2723)), _u2722)) )).
% 20.36/20.60 cnf(matrix-1933, plain, ( ~class_Orderings_Olinorder(_u2724) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2724), _u2725)) | ~hBOOL(hAPP(hAPP(c_member(_u2724), _u2726), _u2725)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2724), hAPP(hAPP(c_Finite__Set_Ofold(_u2724, _u2724, c_Orderings_Oord__class_Omin(_u2724)), _u2727), _u2725)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2724), _u2726), _u2727))) )).
% 20.36/20.60 cnf(matrix-1934, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2728), _u2729)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2728), _u2729)), hAPP(c_Finite__Set_Ocard(_u2728), hAPP(hAPP(c_Set_Oinsert(_u2728), _u2730), _u2729)))) )).
% 20.36/20.60 cnf(matrix-1935, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2731), _u2732)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2731, tc_HOL_Obool)), _u2733), _u2732)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2731), _u2732)), hAPP(c_Finite__Set_Ocard(_u2731), _u2733))) | ( _u2733 = _u2732) )).
% 20.36/20.60 cnf(matrix-1936, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2734), _u2735)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2734, tc_HOL_Obool)), _u2736), _u2735)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2734), _u2736)), hAPP(c_Finite__Set_Ocard(_u2734), _u2735))) )).
% 20.36/20.60 cnf(matrix-1937, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2737), _u2738)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2737, tc_HOL_Obool)), _u2738), _u2739) = hAPP(hAPP(c_Finite__Set_Ofold(_u2737, tc_fun(_u2737, tc_HOL_Obool), c_Set_Oinsert(_u2737)), _u2739), _u2738)) )).
% 20.36/20.60 cnf(matrix-1938, plain, ( ~class_Lattices_Osemilattice__sup(_u2740) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2740), _u2741)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u2740, _u2740, c_Lattices_Osemilattice__sup__class_Osup(_u2740)), _u2742), hAPP(hAPP(c_Set_Oinsert(_u2740), _u2743), _u2741)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2740), _u2743), hAPP(hAPP(c_Finite__Set_Ofold(_u2740, _u2740, c_Lattices_Osemilattice__sup__class_Osup(_u2740)), _u2742), _u2741))) )).
% 20.36/20.60 cnf(matrix-1939, plain, ( ~class_Lattices_Osemilattice__inf(_u2744) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2744), _u2745)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u2744, _u2744, c_Lattices_Osemilattice__inf__class_Oinf(_u2744)), _u2746), hAPP(hAPP(c_Set_Oinsert(_u2744), _u2747), _u2745)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2744), _u2747), hAPP(hAPP(c_Finite__Set_Ofold(_u2744, _u2744, c_Lattices_Osemilattice__inf__class_Oinf(_u2744)), _u2746), _u2745))) )).
% 20.36/20.60 cnf(matrix-1940, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2748), _u2749)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2748, tc_HOL_Obool)), _u2750), _u2749)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2748), _u2750)), hAPP(c_Finite__Set_Ocard(_u2748), _u2749))) )).
% 20.36/20.60 cnf(matrix-1941, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u2751, _u2752, _u2753) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2751), _u2754)) | ( hAPP(_u2753, hAPP(hAPP(c_Set_Oinsert(_u2751), _u2755), _u2754)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2751, _u2751, _u2752), _u2755), _u2754)) )).
% 20.36/20.60 cnf(matrix-1942, plain, ( ~class_Groups_Ocomm__monoid__mult(_u2756) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2757), _u2758)) | hBOOL(hAPP(hAPP(c_member(_u2757), _u2759), _u2758)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2757, _u2756), _u2760), hAPP(hAPP(c_Set_Oinsert(_u2757), _u2759), _u2758)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2756), hAPP(_u2760, _u2759)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2757, _u2756), _u2760), _u2758))) )).
% 20.36/20.60 cnf(matrix-1943, plain, ( ~class_Groups_Ocomm__monoid__mult(_u2761) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2762), _u2763)) | hBOOL(hAPP(hAPP(c_member(_u2762), _u2764), _u2763)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2762, _u2761), _u2765), hAPP(hAPP(c_Set_Oinsert(_u2762), _u2764), _u2763)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2761), hAPP(_u2765, _u2764)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2762, _u2761), _u2765), _u2763))) )).
% 20.36/20.60 cnf(matrix-1944, plain, ( ~class_Groups_Ocomm__monoid__mult(_u2766) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2767), _u2768)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2767), _u2769)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2766), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2767, _u2766), _u2770), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2767, tc_HOL_Obool)), _u2768), _u2769))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2767, _u2766), _u2770), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2767, tc_HOL_Obool)), _u2768), _u2769))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2766), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2767, _u2766), _u2770), _u2768)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2767, _u2766), _u2770), _u2769))) )).
% 20.36/20.60 cnf(matrix-1945, plain, ( ~class_Groups_Ocomm__monoid__mult(_u2771) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2772), _u2773)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2772), _u2774)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2771), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2772, _u2771), _u2775), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2772, tc_HOL_Obool)), _u2773), _u2774))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2772, _u2771), _u2775), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2772, tc_HOL_Obool)), _u2773), _u2774))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2771), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2772, _u2771), _u2775), _u2773)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2772, _u2771), _u2775), _u2774))) )).
% 20.36/20.60 cnf(matrix-1946, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2776), _u2777)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2776), _u2778)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2776), _u2777)), hAPP(c_Finite__Set_Ocard(_u2776), _u2778)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2776), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2776, tc_HOL_Obool)), _u2777), _u2778))), hAPP(c_Finite__Set_Ocard(_u2776), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2776, tc_HOL_Obool)), _u2777), _u2778)))) )).
% 20.36/20.60 cnf(matrix-1947, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2779), _u2780)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2779), _u2781)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2779), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2779, tc_HOL_Obool)), _u2780), _u2781))), hAPP(c_Finite__Set_Ocard(_u2779), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2779, tc_HOL_Obool)), _u2780), _u2781))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2779), _u2780)), hAPP(c_Finite__Set_Ocard(_u2779), _u2781))) )).
% 20.36/20.60 cnf(matrix-1948, plain, ( ~class_Lattices_Osemilattice__sup(_u2782) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2782), _u2783)) | ~hBOOL(hAPP(hAPP(c_member(_u2782), _u2784), _u2783)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2782), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2782), _u2784), _u2785)), hAPP(hAPP(c_Finite__Set_Ofold(_u2782, _u2782, c_Lattices_Osemilattice__sup__class_Osup(_u2782)), _u2785), _u2783))) )).
% 20.36/20.60 cnf(matrix-1949, plain, ( ~class_Lattices_Osemilattice__inf(_u2786) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2786), _u2787)) | ~hBOOL(hAPP(hAPP(c_member(_u2786), _u2788), _u2787)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2786), hAPP(hAPP(c_Finite__Set_Ofold(_u2786, _u2786, c_Lattices_Osemilattice__inf__class_Oinf(_u2786)), _u2789), _u2787)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2786), _u2788), _u2789))) )).
% 20.36/20.60 cnf(matrix-1950, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2790), _u2791)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2790, tc_HOL_Obool)), _u2791), _u2792)) | ( hAPP(c_Finite__Set_Ocard(_u2790), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2790, tc_HOL_Obool)), _u2792), _u2791)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2790), _u2792)), hAPP(c_Finite__Set_Ocard(_u2790), _u2791))) )).
% 20.36/20.60 cnf(matrix-1951, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2793), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2793, tc_HOL_Obool)), _u2794), _u2795))) | ( hAPP(c_Finite__Set_Ocard(_u2793), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2793, tc_HOL_Obool)), _u2794), _u2795)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2793), _u2794)), hAPP(c_Finite__Set_Ocard(_u2793), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2793, tc_HOL_Obool)), _u2794), _u2795)))) )).
% 20.36/20.60 cnf(matrix-1952, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2796), _u2797)) | 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(_u2796), _u2798)), hAPP(c_Finite__Set_Ocard(_u2796), _u2797))), hAPP(c_Finite__Set_Ocard(_u2796), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2796, tc_HOL_Obool)), _u2798), _u2797)))) )).
% 20.36/20.60 cnf(matrix-1953, plain, ( ~class_Orderings_Olinorder(_u2799) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2799), _u2800)) | ~hBOOL(hAPP(hAPP(c_member(_u2799), _u2801), _u2800)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2799), hAPP(c_Finite__Set_Ofold1(_u2799, c_Orderings_Oord__class_Omin(_u2799)), _u2800)), _u2801)) )).
% 20.36/20.60 cnf(matrix-1954, plain, ( ~class_Orderings_Olinorder(_u2804) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2804), _u2805)) | ( _u2805 = c_Orderings_Obot__class_Obot(tc_fun(_u2804, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2804), hAPP(c_Finite__Set_Ofold1(_u2804, c_Orderings_Oord__class_Omin(_u2804)), _u2805)), _u2806)) | hBOOL(hAPP(hAPP(c_member(_u2804), skolem45(_u2806, _u2805, _u2804)), _u2805)) )).
% 20.36/20.60 cnf(matrix-1955, plain, ( ~class_Orderings_Olinorder(_u2804) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2804), _u2805)) | ( _u2805 = c_Orderings_Obot__class_Obot(tc_fun(_u2804, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2804), hAPP(c_Finite__Set_Ofold1(_u2804, c_Orderings_Oord__class_Omin(_u2804)), _u2805)), _u2806)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2804), skolem45(_u2806, _u2805, _u2804)), _u2806)) )).
% 20.36/20.60 cnf(matrix-1956, plain, ( ~class_Orderings_Olinorder(_u2804) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2804), _u2805)) | ( _u2805 = c_Orderings_Obot__class_Obot(tc_fun(_u2804, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2804), _u2803), _u2805)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2804), _u2803), _u2806)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2804), hAPP(c_Finite__Set_Ofold1(_u2804, c_Orderings_Oord__class_Omin(_u2804)), _u2805)), _u2806)) )).
% 20.36/20.60 cnf(matrix-1957, plain, ( ~class_Orderings_Olinorder(_u2809) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2809), _u2810)) | ( _u2810 = c_Orderings_Obot__class_Obot(tc_fun(_u2809, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2809), _u2811), hAPP(c_Finite__Set_Ofold1(_u2809, c_Orderings_Oord__class_Omin(_u2809)), _u2810))) | ~hBOOL(hAPP(hAPP(c_member(_u2809), _u2807), _u2810)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2809), _u2811), _u2807)) )).
% 20.36/20.60 cnf(matrix-1958, plain, ( ~class_Orderings_Olinorder(_u2809) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2809), _u2810)) | ( _u2810 = c_Orderings_Obot__class_Obot(tc_fun(_u2809, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2809), _u2811), hAPP(c_Finite__Set_Ofold1(_u2809, c_Orderings_Oord__class_Omin(_u2809)), _u2810))) | hBOOL(hAPP(hAPP(c_member(_u2809), skolem46(_u2811, _u2810, _u2809)), _u2810)) )).
% 20.36/20.60 cnf(matrix-1959, plain, ( ~class_Orderings_Olinorder(_u2809) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2809), _u2810)) | ( _u2810 = c_Orderings_Obot__class_Obot(tc_fun(_u2809, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2809), _u2811), hAPP(c_Finite__Set_Ofold1(_u2809, c_Orderings_Oord__class_Omin(_u2809)), _u2810))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2809), _u2811), skolem46(_u2811, _u2810, _u2809))) )).
% 20.36/20.60 cnf(matrix-1960, plain, ( ~class_Orderings_Olinorder(_u2814) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2814), _u2815)) | ( _u2815 = c_Orderings_Obot__class_Obot(tc_fun(_u2814, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2814), hAPP(c_Finite__Set_Ofold1(_u2814, c_Orderings_Oord__class_Omin(_u2814)), _u2815)), _u2816)) | hBOOL(hAPP(hAPP(c_member(_u2814), skolem47(_u2816, _u2815, _u2814)), _u2815)) )).
% 20.36/20.60 cnf(matrix-1961, plain, ( ~class_Orderings_Olinorder(_u2814) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2814), _u2815)) | ( _u2815 = c_Orderings_Obot__class_Obot(tc_fun(_u2814, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2814), hAPP(c_Finite__Set_Ofold1(_u2814, c_Orderings_Oord__class_Omin(_u2814)), _u2815)), _u2816)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2814), skolem47(_u2816, _u2815, _u2814)), _u2816)) )).
% 20.36/20.60 cnf(matrix-1962, plain, ( ~class_Orderings_Olinorder(_u2814) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2814), _u2815)) | ( _u2815 = c_Orderings_Obot__class_Obot(tc_fun(_u2814, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2814), _u2813), _u2815)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2814), _u2813), _u2816)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2814), hAPP(c_Finite__Set_Ofold1(_u2814, c_Orderings_Oord__class_Omin(_u2814)), _u2815)), _u2816)) )).
% 20.36/20.60 cnf(matrix-1963, plain, ( ~class_Orderings_Olinorder(_u2819) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2819), _u2820)) | ( _u2820 = c_Orderings_Obot__class_Obot(tc_fun(_u2819, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2819), _u2821), hAPP(c_Finite__Set_Ofold1(_u2819, c_Orderings_Oord__class_Omin(_u2819)), _u2820))) | ~hBOOL(hAPP(hAPP(c_member(_u2819), _u2817), _u2820)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2819), _u2821), _u2817)) )).
% 20.36/20.60 cnf(matrix-1964, plain, ( ~class_Orderings_Olinorder(_u2819) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2819), _u2820)) | ( _u2820 = c_Orderings_Obot__class_Obot(tc_fun(_u2819, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2819), _u2821), hAPP(c_Finite__Set_Ofold1(_u2819, c_Orderings_Oord__class_Omin(_u2819)), _u2820))) | hBOOL(hAPP(hAPP(c_member(_u2819), skolem48(_u2821, _u2820, _u2819)), _u2820)) )).
% 20.36/20.60 cnf(matrix-1965, plain, ( ~class_Orderings_Olinorder(_u2819) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2819), _u2820)) | ( _u2820 = c_Orderings_Obot__class_Obot(tc_fun(_u2819, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2819), _u2821), hAPP(c_Finite__Set_Ofold1(_u2819, c_Orderings_Oord__class_Omin(_u2819)), _u2820))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2819), _u2821), skolem48(_u2821, _u2820, _u2819))) )).
% 20.36/20.60 cnf(matrix-1966, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2822), _u2823)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2822, tc_HOL_Obool)), _u2824), _u2823)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2822), _u2824)), hAPP(c_Finite__Set_Ocard(_u2822), _u2823))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2822, tc_HOL_Obool)), _u2824), _u2823)) )).
% 20.36/20.60 cnf(matrix-1967, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u2825) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2825), _u2826)) | ( hAPP(c_Finite__Set_Ofold1(_u2825, c_Groups_Otimes__class_Otimes(_u2825)), hAPP(hAPP(c_Set_Oinsert(_u2825), _u2827), _u2826)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2825, _u2825, c_Groups_Otimes__class_Otimes(_u2825)), _u2827), _u2826)) )).
% 20.36/20.60 cnf(matrix-1968, plain, ( ~class_Lattices_Olattice(_u2828) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2828), _u2829)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u2828, hAPP(hAPP(c_Set_Oinsert(_u2828), _u2830), _u2829)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2828, _u2828, c_Lattices_Osemilattice__sup__class_Osup(_u2828)), _u2830), _u2829)) )).
% 20.36/20.60 cnf(matrix-1969, plain, ( ~class_Lattices_Olattice(_u2831) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2831), _u2832)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u2831, hAPP(hAPP(c_Set_Oinsert(_u2831), _u2833), _u2832)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2831, _u2831, c_Lattices_Osemilattice__inf__class_Oinf(_u2831)), _u2833), _u2832)) )).
% 20.36/20.60 cnf(matrix-1970, plain, ( ~c_Finite__Set_Ofolding__one(_u2834, _u2835, _u2836) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2834), _u2837)) | hBOOL(hAPP(hAPP(c_member(_u2834), _u2838), _u2837)) | ( hAPP(_u2836, hAPP(hAPP(c_Set_Oinsert(_u2834), _u2838), _u2837)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2834, _u2834, _u2835), _u2838), _u2837)) )).
% 20.36/20.60 cnf(matrix-1971, plain, ( ~class_Groups_Ocomm__monoid__mult(_u2839) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2840), _u2841)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2840, _u2839), _u2842), hAPP(hAPP(c_Set_Oinsert(_u2840), _u2843), _u2841)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2839), hAPP(_u2842, _u2843)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2840, _u2839), _u2842), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2840, tc_HOL_Obool)), _u2841), hAPP(hAPP(c_Set_Oinsert(_u2840), _u2843), c_Orderings_Obot__class_Obot(tc_fun(_u2840, tc_HOL_Obool))))))) )).
% 20.36/20.60 cnf(matrix-1972, plain, ( ~class_Groups_Ocomm__monoid__mult(_u2844) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2845), _u2846)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2845), _u2847)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2845, tc_HOL_Obool)), _u2846), _u2847) != c_Orderings_Obot__class_Obot(tc_fun(_u2845, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2845, _u2844), _u2848), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2845, tc_HOL_Obool)), _u2846), _u2847)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2844), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2845, _u2844), _u2848), _u2846)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2845, _u2844), _u2848), _u2847))) )).
% 20.36/20.60 cnf(matrix-1973, plain, ( ~class_Groups_Ocomm__monoid__mult(_u2849) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2850), _u2851)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2850), _u2852)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2850, tc_HOL_Obool)), _u2851), _u2852) != c_Orderings_Obot__class_Obot(tc_fun(_u2850, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2850, _u2849), _u2853), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2850, tc_HOL_Obool)), _u2851), _u2852)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2849), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2850, _u2849), _u2853), _u2851)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2850, _u2849), _u2853), _u2852))) )).
% 20.36/20.60 cnf(matrix-1974, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2854), _u2855)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2854), _u2856)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2854, tc_HOL_Obool)), _u2855), _u2856) != c_Orderings_Obot__class_Obot(tc_fun(_u2854, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ocard(_u2854), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2854, tc_HOL_Obool)), _u2855), _u2856)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2854), _u2855)), hAPP(c_Finite__Set_Ocard(_u2854), _u2856))) )).
% 20.36/20.60 cnf(matrix-1975, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2857), _u2858)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2857), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2857, tc_HOL_Obool)), _u2858), hAPP(hAPP(c_Set_Oinsert(_u2857), _u2859), c_Orderings_Obot__class_Obot(tc_fun(_u2857, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u2857), _u2858))) )).
% 20.36/20.60 cnf(matrix-1976, plain, ( ~c_Finite__Set_Ofun__left__comm(_u2860, _u2861, _u2862) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2860), _u2863)) | ~hBOOL(hAPP(hAPP(c_member(_u2860), _u2864), _u2863)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u2860, _u2861, _u2862), _u2865), _u2863) = hAPP(hAPP(_u2862, _u2864), hAPP(hAPP(c_Finite__Set_Ofold(_u2860, _u2861, _u2862), _u2865), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2860, tc_HOL_Obool)), _u2863), hAPP(hAPP(c_Set_Oinsert(_u2860), _u2864), c_Orderings_Obot__class_Obot(tc_fun(_u2860, tc_HOL_Obool))))))) )).
% 20.36/20.60 cnf(matrix-1977, plain, ( ~class_Orderings_Oord(_u2866) | ( c_Orderings_Oord__class_Omin(_u2866) = c_Orderings_Oord_Omin(_u2866, c_Orderings_Oord__class_Oless__eq(_u2866))) )).
% 20.36/20.60 cnf(matrix-1978, plain, ( ~c_Finite__Set_Ofun__left__comm(_u2867, _u2868, _u2869) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2867), _u2870)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u2867, _u2868, _u2869), _u2871), hAPP(hAPP(c_Set_Oinsert(_u2867), _u2872), _u2870)) = hAPP(hAPP(_u2869, _u2872), hAPP(hAPP(c_Finite__Set_Ofold(_u2867, _u2868, _u2869), _u2871), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2867, tc_HOL_Obool)), _u2870), hAPP(hAPP(c_Set_Oinsert(_u2867), _u2872), c_Orderings_Obot__class_Obot(tc_fun(_u2867, tc_HOL_Obool))))))) )).
% 20.36/20.60 cnf(matrix-1979, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2873), _u2874)) | ~hBOOL(hAPP(hAPP(c_member(_u2873), _u2875), _u2874)) | ( hAPP(c_Finite__Set_Ocard(_u2873), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2873, tc_HOL_Obool)), _u2874), hAPP(hAPP(c_Set_Oinsert(_u2873), _u2875), c_Orderings_Obot__class_Obot(tc_fun(_u2873, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2873), _u2874)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 20.36/20.60 cnf(matrix-1980, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2876), _u2877)) | ~hBOOL(hAPP(hAPP(c_member(_u2876), _u2878), _u2877)) | ( hAPP(c_Finite__Set_Ocard(_u2876), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2876, tc_HOL_Obool)), _u2877), hAPP(hAPP(c_Set_Oinsert(_u2876), _u2878), c_Orderings_Obot__class_Obot(tc_fun(_u2876, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2876), _u2877)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 20.36/20.60 cnf(matrix-1981, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2876), _u2877)) | hBOOL(hAPP(hAPP(c_member(_u2876), _u2878), _u2877)) | ( hAPP(c_Finite__Set_Ocard(_u2876), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2876, tc_HOL_Obool)), _u2877), hAPP(hAPP(c_Set_Oinsert(_u2876), _u2878), c_Orderings_Obot__class_Obot(tc_fun(_u2876, tc_HOL_Obool))))) = hAPP(c_Finite__Set_Ocard(_u2876), _u2877)) )).
% 20.36/20.60 cnf(matrix-1982, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2879), _u2880)) | ~hBOOL(hAPP(hAPP(c_member(_u2879), _u2881), _u2880)) | ( hAPP(c_Finite__Set_Ocard(_u2879), _u2880) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u2879), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2879, tc_HOL_Obool)), _u2880), hAPP(hAPP(c_Set_Oinsert(_u2879), _u2881), c_Orderings_Obot__class_Obot(tc_fun(_u2879, tc_HOL_Obool))))))) )).
% 20.36/20.60 cnf(matrix-1983, plain, ( ~class_Orderings_Olinorder(_u2882) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2882), _u2883)) | ~hBOOL(hAPP(hAPP(c_member(_u2882), _u2884), _u2883)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2882, tc_HOL_Obool)), _u2883), hAPP(hAPP(c_Set_Oinsert(_u2882), _u2884), c_Orderings_Obot__class_Obot(tc_fun(_u2882, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u2882, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u2882, _u2883) = _u2884) )).
% 20.36/20.60 cnf(matrix-1984, plain, ( ~class_Orderings_Olinorder(_u2882) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2882), _u2883)) | ~hBOOL(hAPP(hAPP(c_member(_u2882), _u2884), _u2883)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2882, tc_HOL_Obool)), _u2883), hAPP(hAPP(c_Set_Oinsert(_u2882), _u2884), c_Orderings_Obot__class_Obot(tc_fun(_u2882, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u2882, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u2882, _u2883) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2882), _u2884), c_Big__Operators_Olinorder__class_OMin(_u2882, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2882, tc_HOL_Obool)), _u2883), hAPP(hAPP(c_Set_Oinsert(_u2882), _u2884), c_Orderings_Obot__class_Obot(tc_fun(_u2882, tc_HOL_Obool))))))) )).
% 20.36/20.60 cnf(matrix-1985, plain, ( ~c_Nitpick_Ofold__graph_H(_u2896, _u2898, _u2900, _u2902, _u2904, hAPP(hAPP(_u2900, _u2906), _u2908)) | ( _u2904 = c_Orderings_Obot__class_Obot(tc_fun(_u2896, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u2896), skolem49(_u2908, _u2906, _u2904, _u2902, _u2900, _u2898, _u2896)), _u2904)) )).
% 20.36/20.60 cnf(matrix-1986, plain, ( ~c_Nitpick_Ofold__graph_H(_u2896, _u2898, _u2900, _u2902, _u2904, hAPP(hAPP(_u2900, _u2906), _u2908)) | ( _u2904 = c_Orderings_Obot__class_Obot(tc_fun(_u2896, tc_HOL_Obool))) | ( hAPP(hAPP(_u2900, _u2906), _u2908) = hAPP(hAPP(_u2900, skolem49(_u2908, _u2906, _u2904, _u2902, _u2900, _u2898, _u2896)), skolem50(_u2908, _u2906, _u2904, _u2902, _u2900, _u2898, _u2896))) )).
% 20.36/20.60 cnf(matrix-1987, plain, ( ~c_Nitpick_Ofold__graph_H(_u2896, _u2898, _u2900, _u2902, _u2904, hAPP(hAPP(_u2900, _u2906), _u2908)) | ( _u2904 = c_Orderings_Obot__class_Obot(tc_fun(_u2896, tc_HOL_Obool))) | c_Nitpick_Ofold__graph_H(_u2896, _u2898, _u2900, _u2902, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2896, tc_HOL_Obool)), _u2904), hAPP(hAPP(c_Set_Oinsert(_u2896), skolem49(_u2908, _u2906, _u2904, _u2902, _u2900, _u2898, _u2896)), c_Orderings_Obot__class_Obot(tc_fun(_u2896, tc_HOL_Obool)))), skolem50(_u2908, _u2906, _u2904, _u2902, _u2900, _u2898, _u2896)) )).
% 20.36/20.60 cnf(matrix-1988, plain, ( ~c_Nitpick_Ofold__graph_H(_u2896, _u2898, _u2900, _u2902, _u2904, hAPP(hAPP(_u2900, _u2906), _u2908)) | ( hAPP(hAPP(_u2900, _u2906), _u2908) = _u2902) | hBOOL(hAPP(hAPP(c_member(_u2896), skolem49(_u2908, _u2906, _u2904, _u2902, _u2900, _u2898, _u2896)), _u2904)) )).
% 20.36/20.60 cnf(matrix-1989, plain, ( ~c_Nitpick_Ofold__graph_H(_u2896, _u2898, _u2900, _u2902, _u2904, hAPP(hAPP(_u2900, _u2906), _u2908)) | ( hAPP(hAPP(_u2900, _u2906), _u2908) = _u2902) | ( hAPP(hAPP(_u2900, _u2906), _u2908) = hAPP(hAPP(_u2900, skolem49(_u2908, _u2906, _u2904, _u2902, _u2900, _u2898, _u2896)), skolem50(_u2908, _u2906, _u2904, _u2902, _u2900, _u2898, _u2896))) )).
% 20.36/20.60 cnf(matrix-1990, plain, ( ~c_Nitpick_Ofold__graph_H(_u2896, _u2898, _u2900, _u2902, _u2904, hAPP(hAPP(_u2900, _u2906), _u2908)) | ( hAPP(hAPP(_u2900, _u2906), _u2908) = _u2902) | c_Nitpick_Ofold__graph_H(_u2896, _u2898, _u2900, _u2902, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2896, tc_HOL_Obool)), _u2904), hAPP(hAPP(c_Set_Oinsert(_u2896), skolem49(_u2908, _u2906, _u2904, _u2902, _u2900, _u2898, _u2896)), c_Orderings_Obot__class_Obot(tc_fun(_u2896, tc_HOL_Obool)))), skolem50(_u2908, _u2906, _u2904, _u2902, _u2900, _u2898, _u2896)) )).
% 20.36/20.60 cnf(matrix-1991, plain, ( c_Nitpick_Ofold__graph_H(_u2897, _u2899, _u2901, _u2903, _u2905, hAPP(hAPP(_u2901, _u2907), _u2909)) | ( _u2905 != c_Orderings_Obot__class_Obot(tc_fun(_u2897, tc_HOL_Obool))) | ( hAPP(hAPP(_u2901, _u2907), _u2909) != _u2903) )).
% 20.36/20.60 cnf(matrix-1992, plain, ( c_Nitpick_Ofold__graph_H(_u2897, _u2899, _u2901, _u2903, _u2905, hAPP(hAPP(_u2901, _u2907), _u2909)) | ~hBOOL(hAPP(hAPP(c_member(_u2897), _u2888), _u2905)) | ( hAPP(hAPP(_u2901, _u2907), _u2909) != hAPP(hAPP(_u2901, _u2888), _u2887)) | ~c_Nitpick_Ofold__graph_H(_u2897, _u2899, _u2901, _u2903, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2897, tc_HOL_Obool)), _u2905), hAPP(hAPP(c_Set_Oinsert(_u2897), _u2888), c_Orderings_Obot__class_Obot(tc_fun(_u2897, tc_HOL_Obool)))), _u2887) )).
% 20.36/20.60 cnf(matrix-1993, plain, ( ~class_Orderings_Olinorder(_u2910) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2910), _u2911)) | ~hBOOL(hAPP(hAPP(c_member(_u2910), _u2912), _u2911)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2910, tc_HOL_Obool)), _u2911), hAPP(hAPP(c_Set_Oinsert(_u2910), _u2912), c_Orderings_Obot__class_Obot(tc_fun(_u2910, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u2910, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u2910, c_Orderings_Oord__class_Omin(_u2910), _u2911) = _u2912) )).
% 20.36/20.60 cnf(matrix-1994, plain, ( ~class_Orderings_Olinorder(_u2910) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2910), _u2911)) | ~hBOOL(hAPP(hAPP(c_member(_u2910), _u2912), _u2911)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2910, tc_HOL_Obool)), _u2911), hAPP(hAPP(c_Set_Oinsert(_u2910), _u2912), c_Orderings_Obot__class_Obot(tc_fun(_u2910, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u2910, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u2910, c_Orderings_Oord__class_Omin(_u2910), _u2911) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2910), _u2912), c_Big__Operators_Olattice_OInf__fin(_u2910, c_Orderings_Oord__class_Omin(_u2910), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2910, tc_HOL_Obool)), _u2911), hAPP(hAPP(c_Set_Oinsert(_u2910), _u2912), c_Orderings_Obot__class_Obot(tc_fun(_u2910, tc_HOL_Obool))))))) )).
% 20.36/20.60 cnf(matrix-1995, plain, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-1996, plain, ( ~class_Groups_Oone(_u2913) | ( c_Groups_Oone__class_Oone(_u2913) != _u2914) | ( _u2914 = c_Groups_Oone__class_Oone(_u2913)) )).
% 20.36/20.60 cnf(matrix-1997, plain, ( ~class_Groups_Oone(_u2913) | ( _u2914 != c_Groups_Oone__class_Oone(_u2913)) | ( c_Groups_Oone__class_Oone(_u2913) = _u2914) )).
% 20.36/20.60 cnf(matrix-1998, plain, ( ( hAPP(hAPP(_u2917, _u2918), hAPP(hAPP(_u2917, _u2919), _u2920)) = hAPP(hAPP(_u2917, _u2919), hAPP(hAPP(_u2917, _u2918), _u2920))) | ~c_Finite__Set_Ofun__left__comm(_u2915, _u2916, _u2917) )).
% 20.36/20.60 cnf(matrix-1999, plain, ( ~class_Rings_Ocomm__semiring__1(_u2921) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2921), _u2922), c_Groups_Oone__class_Oone(_u2921)) = _u2922) )).
% 20.36/20.60 cnf(matrix-2000, plain, ( ~class_Rings_Ocomm__semiring__1(_u2923) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2923), c_Groups_Oone__class_Oone(_u2923)), _u2924) = _u2924) )).
% 20.36/20.60 cnf(matrix-2001, plain, ( ~class_Groups_Omonoid__mult(_u2925) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2925), c_Groups_Oone__class_Oone(_u2925)), _u2926) = _u2926) )).
% 20.36/20.60 cnf(matrix-2002, plain, ( ~class_Groups_Ocomm__monoid__mult(_u2927) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2927), c_Groups_Oone__class_Oone(_u2927)), _u2928) = _u2928) )).
% 20.36/20.60 cnf(matrix-2003, plain, ( ~class_Groups_Omonoid__mult(_u2929) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2929), _u2930), c_Groups_Oone__class_Oone(_u2929)) = _u2930) )).
% 20.36/20.60 cnf(matrix-2004, plain, ( ~class_Groups_Ocomm__monoid__mult(_u2931) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2931), _u2932), c_Groups_Oone__class_Oone(_u2931)) = _u2932) )).
% 20.36/20.60 cnf(matrix-2005, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2935), _u2936)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2935, tc_Nat_Onat), _u2937), _u2936) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u2935), _u2933), _u2936)) | ( hAPP(_u2937, _u2933) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2006, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2935), _u2936)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2935, tc_Nat_Onat), _u2937), _u2936) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u2935), skolem51(_u2937, _u2936, _u2935)), _u2936)) )).
% 20.36/20.60 cnf(matrix-2007, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2935), _u2936)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2935, tc_Nat_Onat), _u2937), _u2936) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u2937, skolem51(_u2937, _u2936, _u2935)) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2008, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2940), _u2942) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2940 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2009, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2940), _u2942) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2942 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2010, plain, ( ( _u2941 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2943 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2941), _u2943) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2011, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2944), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u2944) )).
% 20.36/20.60 cnf(matrix-2012, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2947), _u2949)) | ( _u2947 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2013, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2947), _u2949)) | ( _u2949 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2014, plain, ( ( _u2948 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2950 != 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), _u2948), _u2950)) )).
% 20.36/20.60 cnf(matrix-2015, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u2951) = _u2951) )).
% 20.36/20.60 cnf(matrix-2016, plain, ( ~class_Groups_Oab__semigroup__mult(_u2952) | c_Finite__Set_Ofun__left__comm(_u2952, _u2952, c_Groups_Otimes__class_Otimes(_u2952)) )).
% 20.36/20.60 cnf(matrix-2017, plain, ( ~class_Rings_Olinordered__semidom(_u2953) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2953), _u2954), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2953), _u2954), c_Groups_Oone__class_Oone(_u2953)))) )).
% 20.36/20.60 cnf(matrix-2018, plain, ( ~class_Rings_Olinordered__semidom(_u2955) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2955), c_Groups_Oone__class_Oone(_u2955)), _u2956)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2955), c_Groups_Oone__class_Oone(_u2955)), _u2957)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2955), c_Groups_Oone__class_Oone(_u2955)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2955), _u2956), _u2957))) )).
% 20.36/20.60 cnf(matrix-2019, plain, ( ~class_Rings_Ocomm__semiring__1(_u2958) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2958), _u2959), _u2959) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2958), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2958), c_Groups_Oone__class_Oone(_u2958)), c_Groups_Oone__class_Oone(_u2958))), _u2959)) )).
% 20.36/20.60 cnf(matrix-2020, plain, ( ~class_Rings_Ocomm__semiring__1(_u2960) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2960), _u2961), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2960), _u2962), _u2961)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2960), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2960), _u2962), c_Groups_Oone__class_Oone(_u2960))), _u2961)) )).
% 20.36/20.60 cnf(matrix-2021, plain, ( ~class_Rings_Ocomm__semiring__1(_u2963) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2963), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2963), _u2964), _u2965)), _u2965) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2963), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2963), _u2964), c_Groups_Oone__class_Oone(_u2963))), _u2965)) )).
% 20.36/20.60 cnf(matrix-2022, plain, ( ~c_Finite__Set_Ofun__left__comm(_u2966, _u2967, _u2968) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2966, _u2967, _u2968, _u2969, _u2970), _u2971)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2966, _u2967, _u2968, _u2969, _u2970), _u2972)) | ( _u2972 = _u2971) )).
% 20.36/20.60 cnf(matrix-2023, plain, ( ~class_Groups_Ocomm__monoid__mult(_u2973) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2974, _u2973), _u2975), c_Orderings_Obot__class_Obot(tc_fun(_u2974, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u2973)) )).
% 20.36/20.60 cnf(matrix-2024, plain, ( ~class_Groups_Ocomm__monoid__mult(_u2976) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2977, _u2976), _u2978), c_Orderings_Obot__class_Obot(tc_fun(_u2977, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u2976)) )).
% 20.36/20.60 cnf(matrix-2025, plain, ( ~class_Groups_Ocomm__monoid__mult(_u2979) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2980), _u2981)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2980, _u2979), _u2982), _u2981) = c_Groups_Oone__class_Oone(_u2979)) )).
% 20.36/20.60 cnf(matrix-2026, plain, ( ~class_Groups_Ocomm__monoid__mult(_u2983) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2984), _u2985)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2984, _u2983), _u2986), _u2985) = c_Groups_Oone__class_Oone(_u2983)) )).
% 20.36/20.60 cnf(matrix-2027, plain, ( ~class_Orderings_Olinorder(_u2987) | ( c_Big__Operators_Olinorder__class_OMin(_u2987, hAPP(hAPP(c_Set_Oinsert(_u2987), _u2988), c_Orderings_Obot__class_Obot(tc_fun(_u2987, tc_HOL_Obool)))) = _u2988) )).
% 20.36/20.60 cnf(matrix-2028, plain, ( ~class_Orderings_Olinorder(_u2989) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2989), _u2990)) | ~hBOOL(hAPP(hAPP(c_member(_u2989), _u2991), _u2990)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u2989), _u2991), c_Big__Operators_Olattice_OInf__fin(_u2989, c_Orderings_Oord__class_Omin(_u2989), _u2990)) = c_Big__Operators_Olattice_OInf__fin(_u2989, c_Orderings_Oord__class_Omin(_u2989), _u2990)) )).
% 20.36/20.60 cnf(matrix-2029, plain, ( ~c_Finite__Set_Ofun__left__comm(_u2992, _u2993, _u2994) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2992), _u2995)) | ( hAPP(hAPP(_u2994, _u2996), hAPP(hAPP(c_Finite__Set_Ofold(_u2992, _u2993, _u2994), _u2997), _u2995)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2992, _u2993, _u2994), hAPP(hAPP(_u2994, _u2996), _u2997)), _u2995)) )).
% 20.36/20.60 cnf(matrix-2030, plain, ( ~class_Orderings_Olinorder(_u2998) | ( c_Big__Operators_Olattice_OInf__fin(_u2998, c_Orderings_Oord__class_Omin(_u2998), hAPP(hAPP(c_Set_Oinsert(_u2998), _u2999), c_Orderings_Obot__class_Obot(tc_fun(_u2998, tc_HOL_Obool)))) = _u2999) )).
% 20.36/20.60 cnf(matrix-2031, plain, ( ~class_Orderings_Olinorder(_u3000) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3000), _u3001)) | ~hBOOL(hAPP(hAPP(c_member(_u3000), _u3002), _u3001)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3000), c_Big__Operators_Olinorder__class_OMin(_u3000, _u3001)), _u3002)) )).
% 20.36/20.60 cnf(matrix-2032, plain, ( ~class_Orderings_Olinorder(_u3003) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3003), _u3004)) | ( _u3004 = c_Orderings_Obot__class_Obot(tc_fun(_u3003, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u3003), c_Big__Operators_Olinorder__class_OMin(_u3003, _u3004)), _u3004)) )).
% 20.36/20.60 cnf(matrix-2033, plain, ( ~class_Orderings_Olinorder(_u3005) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3005), _u3006)) | ~hBOOL(hAPP(hAPP(c_member(_u3005), _u3007), _u3006)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u3005), _u3007), c_Big__Operators_Olinorder__class_OMin(_u3005, _u3006)) = c_Big__Operators_Olinorder__class_OMin(_u3005, _u3006)) )).
% 20.36/20.60 cnf(matrix-2034, plain, ( ~class_Orderings_Olinorder(_u3008) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3008), _u3009)) | ( c_Big__Operators_Olattice_OInf__fin(_u3008, c_Orderings_Oord__class_Omin(_u3008), _u3009) = hAPP(c_Finite__Set_Ofold1(_u3008, c_Orderings_Oord__class_Omin(_u3008)), _u3009)) )).
% 20.36/20.60 cnf(matrix-2035, plain, ( ~c_Finite__Set_Ofun__left__comm(_u3010, _u3011, _u3012) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u3010, _u3011, _u3012, _u3013, _u3014), _u3015)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u3010, _u3011, _u3012), _u3013), _u3014) = _u3015) )).
% 20.36/20.60 cnf(matrix-2036, plain, ( ~class_Orderings_Olinorder(_u3016) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3016), _u3017)) | ( c_Big__Operators_Olinorder__class_OMin(_u3016, _u3017) = hAPP(c_Finite__Set_Ofold1(_u3016, c_Orderings_Oord__class_Omin(_u3016)), _u3017)) )).
% 20.36/20.60 cnf(matrix-2037, plain, ( ~class_Orderings_Olinorder(_u3018) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3018), _u3019)) | ( _u3019 = c_Orderings_Obot__class_Obot(tc_fun(_u3018, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u3018, c_Orderings_Oord__class_Omin(_u3018), hAPP(hAPP(c_Set_Oinsert(_u3018), _u3020), _u3019)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u3018), _u3020), c_Big__Operators_Olattice_OInf__fin(_u3018, c_Orderings_Oord__class_Omin(_u3018), _u3019))) )).
% 20.36/20.60 cnf(matrix-2038, plain, ( ~class_Orderings_Olinorder(_u3021) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3021), _u3022)) | ( _u3023 = c_Orderings_Obot__class_Obot(tc_fun(_u3021, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3021, tc_HOL_Obool)), _u3023), _u3022)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u3021), c_Big__Operators_Olattice_OInf__fin(_u3021, c_Orderings_Oord__class_Omin(_u3021), _u3023)), c_Big__Operators_Olattice_OInf__fin(_u3021, c_Orderings_Oord__class_Omin(_u3021), _u3022)) = c_Big__Operators_Olattice_OInf__fin(_u3021, c_Orderings_Oord__class_Omin(_u3021), _u3022)) )).
% 20.36/20.60 cnf(matrix-2039, plain, ( ~class_Orderings_Olinorder(_u3024) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3024), _u3025)) | ( _u3025 = c_Orderings_Obot__class_Obot(tc_fun(_u3024, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3024), _u3026)) | ( _u3026 = c_Orderings_Obot__class_Obot(tc_fun(_u3024, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u3024, c_Orderings_Oord__class_Omin(_u3024), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3024, tc_HOL_Obool)), _u3025), _u3026)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u3024), c_Big__Operators_Olattice_OInf__fin(_u3024, c_Orderings_Oord__class_Omin(_u3024), _u3025)), c_Big__Operators_Olattice_OInf__fin(_u3024, c_Orderings_Oord__class_Omin(_u3024), _u3026))) )).
% 20.36/20.60 cnf(matrix-2040, plain, ( ~class_Orderings_Olinorder(_u3027) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3027, tc_HOL_Obool)), _u3028), _u3029)) | ( _u3028 = c_Orderings_Obot__class_Obot(tc_fun(_u3027, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3027), _u3029)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3027), c_Big__Operators_Olinorder__class_OMin(_u3027, _u3029)), c_Big__Operators_Olinorder__class_OMin(_u3027, _u3028))) )).
% 20.36/20.60 cnf(matrix-2041, plain, ( ~class_Orderings_Olinorder(_u3030) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3030), _u3031)) | ( c_Big__Operators_Olattice_OInf__fin(_u3030, c_Orderings_Oord__class_Omin(_u3030), hAPP(hAPP(c_Set_Oinsert(_u3030), _u3032), _u3031)) = hAPP(hAPP(c_Finite__Set_Ofold(_u3030, _u3030, c_Orderings_Oord__class_Omin(_u3030)), _u3032), _u3031)) )).
% 20.36/20.60 cnf(matrix-2042, plain, ( ~class_Orderings_Olinorder(_u3033) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3033), _u3034)) | ( _u3034 = c_Orderings_Obot__class_Obot(tc_fun(_u3033, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u3033, hAPP(hAPP(c_Set_Oinsert(_u3033), _u3035), _u3034)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u3033), _u3035), c_Big__Operators_Olinorder__class_OMin(_u3033, _u3034))) )).
% 20.36/20.60 cnf(matrix-2043, plain, ( ~class_Orderings_Olinorder(_u3036) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3036), _u3037)) | ( _u3038 = c_Orderings_Obot__class_Obot(tc_fun(_u3036, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3036, tc_HOL_Obool)), _u3038), _u3037)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u3036), c_Big__Operators_Olinorder__class_OMin(_u3036, _u3038)), c_Big__Operators_Olinorder__class_OMin(_u3036, _u3037)) = c_Big__Operators_Olinorder__class_OMin(_u3036, _u3037)) )).
% 20.36/20.60 cnf(matrix-2044, plain, ( ~class_Orderings_Olinorder(_u3039) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3039), _u3040)) | ( _u3040 = c_Orderings_Obot__class_Obot(tc_fun(_u3039, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3039), _u3041)) | ( _u3041 = c_Orderings_Obot__class_Obot(tc_fun(_u3039, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u3039, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3039, tc_HOL_Obool)), _u3040), _u3041)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u3039), c_Big__Operators_Olinorder__class_OMin(_u3039, _u3040)), c_Big__Operators_Olinorder__class_OMin(_u3039, _u3041))) )).
% 20.36/20.60 cnf(matrix-2045, plain, ( ~class_Orderings_Olinorder(_u3042) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3042), _u3043)) | ( c_Big__Operators_Olinorder__class_OMin(_u3042, hAPP(hAPP(c_Set_Oinsert(_u3042), _u3044), _u3043)) = hAPP(hAPP(c_Finite__Set_Ofold(_u3042, _u3042, c_Orderings_Oord__class_Omin(_u3042)), _u3044), _u3043)) )).
% 20.36/20.60 cnf(matrix-2046, plain, ( ~c_Finite__Set_Ofun__left__comm(_u3045, _u3046, _u3047) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3045), _u3048)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u3045, _u3046, _u3047, _u3049, _u3048), hAPP(hAPP(c_Finite__Set_Ofold(_u3045, _u3046, _u3047), _u3049), _u3048))) )).
% 20.36/20.60 cnf(matrix-2047, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3050), _u3051)) | hBOOL(hAPP(hAPP(c_member(_u3050), _u3052), _u3051)) | ( hAPP(c_Finite__Set_Ocard(_u3050), hAPP(hAPP(c_Set_Oinsert(_u3050), _u3052), _u3051)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u3050), _u3051))) )).
% 20.36/20.60 cnf(matrix-2048, plain, ( ~class_Orderings_Olinorder(_u3053) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3053), _u3054)) | hBOOL(hAPP(hAPP(c_member(_u3053), _u3055), _u3054)) | ( _u3054 = c_Orderings_Obot__class_Obot(tc_fun(_u3053, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u3053, c_Orderings_Oord__class_Omin(_u3053), hAPP(hAPP(c_Set_Oinsert(_u3053), _u3055), _u3054)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u3053), _u3055), c_Big__Operators_Olattice_OInf__fin(_u3053, c_Orderings_Oord__class_Omin(_u3053), _u3054))) )).
% 20.36/20.60 cnf(matrix-2049, plain, ( ~class_Orderings_Olinorder(_u3056) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3056), _u3057)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3056, tc_HOL_Obool)), _u3057), hAPP(hAPP(c_Set_Oinsert(_u3056), _u3058), c_Orderings_Obot__class_Obot(tc_fun(_u3056, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u3056, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u3056, c_Orderings_Oord__class_Omin(_u3056), hAPP(hAPP(c_Set_Oinsert(_u3056), _u3058), _u3057)) = _u3058) )).
% 20.36/20.60 cnf(matrix-2050, plain, ( ~class_Orderings_Olinorder(_u3056) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3056), _u3057)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3056, tc_HOL_Obool)), _u3057), hAPP(hAPP(c_Set_Oinsert(_u3056), _u3058), c_Orderings_Obot__class_Obot(tc_fun(_u3056, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u3056, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u3056, c_Orderings_Oord__class_Omin(_u3056), hAPP(hAPP(c_Set_Oinsert(_u3056), _u3058), _u3057)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u3056), _u3058), c_Big__Operators_Olattice_OInf__fin(_u3056, c_Orderings_Oord__class_Omin(_u3056), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3056, tc_HOL_Obool)), _u3057), hAPP(hAPP(c_Set_Oinsert(_u3056), _u3058), c_Orderings_Obot__class_Obot(tc_fun(_u3056, tc_HOL_Obool))))))) )).
% 20.36/20.60 cnf(matrix-2051, plain, ( ~class_Orderings_Olinorder(_u3059) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3059), _u3060)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3059), _u3061)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3059, tc_HOL_Obool)), _u3060), _u3061) = c_Orderings_Obot__class_Obot(tc_fun(_u3059, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u3059), c_Big__Operators_Olattice_OInf__fin(_u3059, c_Orderings_Oord__class_Omin(_u3059), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3059, tc_HOL_Obool)), _u3060), _u3061))), c_Big__Operators_Olattice_OInf__fin(_u3059, c_Orderings_Oord__class_Omin(_u3059), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3059, tc_HOL_Obool)), _u3060), _u3061))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u3059), c_Big__Operators_Olattice_OInf__fin(_u3059, c_Orderings_Oord__class_Omin(_u3059), _u3060)), c_Big__Operators_Olattice_OInf__fin(_u3059, c_Orderings_Oord__class_Omin(_u3059), _u3061))) )).
% 20.36/20.60 cnf(matrix-2052, plain, ( ~class_Orderings_Olinorder(_u3062) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3062), _u3063)) | ( _u3063 = c_Orderings_Obot__class_Obot(tc_fun(_u3062, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3062), _u3064)) | ( _u3064 = c_Orderings_Obot__class_Obot(tc_fun(_u3062, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3062, tc_HOL_Obool)), _u3063), _u3064) != c_Orderings_Obot__class_Obot(tc_fun(_u3062, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u3062, c_Orderings_Oord__class_Omin(_u3062), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3062, tc_HOL_Obool)), _u3063), _u3064)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u3062), c_Big__Operators_Olattice_OInf__fin(_u3062, c_Orderings_Oord__class_Omin(_u3062), _u3063)), c_Big__Operators_Olattice_OInf__fin(_u3062, c_Orderings_Oord__class_Omin(_u3062), _u3064))) )).
% 20.36/20.60 cnf(matrix-2053, plain, ( ~class_Orderings_Olinorder(_u3065) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3065), _u3066)) | hBOOL(hAPP(hAPP(c_member(_u3065), _u3067), _u3066)) | ( c_Big__Operators_Olattice_OInf__fin(_u3065, c_Orderings_Oord__class_Omin(_u3065), hAPP(hAPP(c_Set_Oinsert(_u3065), _u3067), _u3066)) = hAPP(hAPP(c_Finite__Set_Ofold(_u3065, _u3065, c_Orderings_Oord__class_Omin(_u3065)), _u3067), _u3066)) )).
% 20.36/20.60 cnf(matrix-2054, plain, ( ~class_Orderings_Olinorder(_u3068) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3068), _u3069)) | hBOOL(hAPP(hAPP(c_member(_u3068), _u3070), _u3069)) | ( _u3069 = c_Orderings_Obot__class_Obot(tc_fun(_u3068, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u3068, hAPP(hAPP(c_Set_Oinsert(_u3068), _u3070), _u3069)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u3068), _u3070), c_Big__Operators_Olinorder__class_OMin(_u3068, _u3069))) )).
% 20.36/20.60 cnf(matrix-2055, plain, ( ~class_Orderings_Olinorder(_u3071) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3071), _u3072)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3071, tc_HOL_Obool)), _u3072), hAPP(hAPP(c_Set_Oinsert(_u3071), _u3073), c_Orderings_Obot__class_Obot(tc_fun(_u3071, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u3071, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u3071, hAPP(hAPP(c_Set_Oinsert(_u3071), _u3073), _u3072)) = _u3073) )).
% 20.36/20.60 cnf(matrix-2056, plain, ( ~class_Orderings_Olinorder(_u3071) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3071), _u3072)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3071, tc_HOL_Obool)), _u3072), hAPP(hAPP(c_Set_Oinsert(_u3071), _u3073), c_Orderings_Obot__class_Obot(tc_fun(_u3071, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u3071, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u3071, hAPP(hAPP(c_Set_Oinsert(_u3071), _u3073), _u3072)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u3071), _u3073), c_Big__Operators_Olinorder__class_OMin(_u3071, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3071, tc_HOL_Obool)), _u3072), hAPP(hAPP(c_Set_Oinsert(_u3071), _u3073), c_Orderings_Obot__class_Obot(tc_fun(_u3071, tc_HOL_Obool))))))) )).
% 20.36/20.60 cnf(matrix-2057, plain, ( ~class_Orderings_Olinorder(_u3074) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3074), _u3075)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3074), _u3076)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3074, tc_HOL_Obool)), _u3075), _u3076) = c_Orderings_Obot__class_Obot(tc_fun(_u3074, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u3074), c_Big__Operators_Olinorder__class_OMin(_u3074, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3074, tc_HOL_Obool)), _u3075), _u3076))), c_Big__Operators_Olinorder__class_OMin(_u3074, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3074, tc_HOL_Obool)), _u3075), _u3076))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u3074), c_Big__Operators_Olinorder__class_OMin(_u3074, _u3075)), c_Big__Operators_Olinorder__class_OMin(_u3074, _u3076))) )).
% 20.36/20.60 cnf(matrix-2058, plain, ( ~class_Orderings_Olinorder(_u3077) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3077), _u3078)) | ( _u3078 = c_Orderings_Obot__class_Obot(tc_fun(_u3077, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3077), _u3079)) | ( _u3079 = c_Orderings_Obot__class_Obot(tc_fun(_u3077, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3077, tc_HOL_Obool)), _u3078), _u3079) != c_Orderings_Obot__class_Obot(tc_fun(_u3077, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u3077, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3077, tc_HOL_Obool)), _u3078), _u3079)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u3077), c_Big__Operators_Olinorder__class_OMin(_u3077, _u3078)), c_Big__Operators_Olinorder__class_OMin(_u3077, _u3079))) )).
% 20.36/20.60 cnf(matrix-2059, plain, ( ~class_Orderings_Olinorder(_u3080) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3080), _u3081)) | hBOOL(hAPP(hAPP(c_member(_u3080), _u3082), _u3081)) | ( c_Big__Operators_Olinorder__class_OMin(_u3080, hAPP(hAPP(c_Set_Oinsert(_u3080), _u3082), _u3081)) = hAPP(hAPP(c_Finite__Set_Ofold(_u3080, _u3080, c_Orderings_Oord__class_Omin(_u3080)), _u3082), _u3081)) )).
% 20.36/20.60 cnf(matrix-2060, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3083), _u3084)) | ~hBOOL(hAPP(hAPP(c_member(_u3083), _u3085), _u3084)) | hBOOL(hAPP(hAPP(c_member(_u3083), _u3085), _u3086)) | ( hAPP(c_Finite__Set_Ocard(_u3083), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3083, tc_HOL_Obool)), _u3084), hAPP(hAPP(c_Set_Oinsert(_u3083), _u3085), _u3086))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3083), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3083, tc_HOL_Obool)), _u3084), _u3086))), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 20.36/20.60 cnf(matrix-2061, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3087), _u3088)) | ( hAPP(c_Finite__Set_Ocard(_u3087), hAPP(hAPP(c_Set_Oinsert(_u3087), _u3089), _u3088)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u3087), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3087, tc_HOL_Obool)), _u3088), hAPP(hAPP(c_Set_Oinsert(_u3087), _u3089), c_Orderings_Obot__class_Obot(tc_fun(_u3087, tc_HOL_Obool))))))) )).
% 20.36/20.60 cnf(matrix-2062, plain, ( ~c_Finite__Set_Ofun__left__comm(_u3090, _u3091, _u3092) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3090), _u3093)) | hBOOL(hAPP(hAPP(c_member(_u3090), _u3094), _u3093)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u3090, _u3091, _u3092), _u3095), hAPP(hAPP(c_Set_Oinsert(_u3090), _u3094), _u3093)) = hAPP(hAPP(_u3092, _u3094), hAPP(hAPP(c_Finite__Set_Ofold(_u3090, _u3091, _u3092), _u3095), _u3093))) )).
% 20.36/20.60 cnf(matrix-2063, plain, ( ~c_Finite__Set_Ofun__left__comm(_u3096, _u3097, _u3098) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3096), _u3099)) | hBOOL(hAPP(hAPP(c_member(_u3096), _u3100), _u3099)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u3096, _u3097, _u3098), _u3101), hAPP(hAPP(c_Set_Oinsert(_u3096), _u3100), _u3099)) = hAPP(hAPP(c_Finite__Set_Ofold(_u3096, _u3097, _u3098), hAPP(hAPP(_u3098, _u3100), _u3101)), _u3099)) )).
% 20.36/20.60 cnf(matrix-2064, plain, ( ~c_Finite__Set_Ofun__left__comm(_u3103, _u3104, _u3105) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u3103, _u3104, _u3105, _u3106, _u3107), _u3108)) | ~hBOOL(hAPP(hAPP(c_member(_u3103), _u3109), _u3107)) | ( _u3108 = hAPP(hAPP(_u3105, _u3109), skolem52(_u3109, _u3108, _u3107, _u3106, _u3105, _u3104, _u3103))) )).
% 20.36/20.60 cnf(matrix-2065, plain, ( ~c_Finite__Set_Ofun__left__comm(_u3103, _u3104, _u3105) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u3103, _u3104, _u3105, _u3106, _u3107), _u3108)) | ~hBOOL(hAPP(hAPP(c_member(_u3103), _u3109), _u3107)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u3103, _u3104, _u3105, _u3106, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3103, tc_HOL_Obool)), _u3107), hAPP(hAPP(c_Set_Oinsert(_u3103), _u3109), c_Orderings_Obot__class_Obot(tc_fun(_u3103, tc_HOL_Obool))))), skolem52(_u3109, _u3108, _u3107, _u3106, _u3105, _u3104, _u3103))) )).
% 20.36/20.60 cnf(matrix-2066, plain, ( ~class_Orderings_Olinorder(_u3112) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3112), _u3113)) | ( _u3113 = c_Orderings_Obot__class_Obot(tc_fun(_u3112, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u3112), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u3112), skolem53(_u3113, _u3112)), skolem54(_u3113, _u3112))), hAPP(hAPP(c_Set_Oinsert(_u3112), skolem53(_u3113, _u3112)), hAPP(hAPP(c_Set_Oinsert(_u3112), skolem54(_u3113, _u3112)), c_Orderings_Obot__class_Obot(tc_fun(_u3112, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u3112), c_Big__Operators_Olattice_OInf__fin(_u3112, c_Orderings_Oord__class_Omin(_u3112), _u3113)), _u3113)) )).
% 20.36/20.60 cnf(matrix-2067, plain, ( ~class_Orderings_Olinorder(_u3116) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3116), _u3117)) | ( _u3117 = c_Orderings_Obot__class_Obot(tc_fun(_u3116, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u3116), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u3116), skolem55(_u3117, _u3116)), skolem56(_u3117, _u3116))), hAPP(hAPP(c_Set_Oinsert(_u3116), skolem55(_u3117, _u3116)), hAPP(hAPP(c_Set_Oinsert(_u3116), skolem56(_u3117, _u3116)), c_Orderings_Obot__class_Obot(tc_fun(_u3116, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u3116), c_Big__Operators_Olinorder__class_OMin(_u3116, _u3117)), _u3117)) )).
% 20.36/20.60 cnf(matrix-2068, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3119) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3120), _u3121)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3120), _u3122)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3120, _u3119), _u3123), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3120, tc_HOL_Obool)), _u3121), _u3122)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3119), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3120, _u3119), _u3123), _u3121)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3120, _u3119), _u3123), _u3122))) | hBOOL(hAPP(hAPP(c_member(_u3120), skolem57(_u3123, _u3122, _u3121, _u3120, _u3119)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3120, tc_HOL_Obool)), _u3121), _u3122))) )).
% 20.36/20.60 cnf(matrix-2069, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3119) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3120), _u3121)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3120), _u3122)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3120, _u3119), _u3123), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3120, tc_HOL_Obool)), _u3121), _u3122)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3119), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3120, _u3119), _u3123), _u3121)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3120, _u3119), _u3123), _u3122))) | ( hAPP(_u3123, skolem57(_u3123, _u3122, _u3121, _u3120, _u3119)) != c_Groups_Oone__class_Oone(_u3119)) )).
% 20.36/20.60 cnf(matrix-2070, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3125) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3126), _u3127)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3126), _u3128)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3126, _u3125), _u3129), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3126, tc_HOL_Obool)), _u3127), _u3128)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3125), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3126, _u3125), _u3129), _u3127)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3126, _u3125), _u3129), _u3128))) | hBOOL(hAPP(hAPP(c_member(_u3126), skolem58(_u3129, _u3128, _u3127, _u3126, _u3125)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3126, tc_HOL_Obool)), _u3127), _u3128))) )).
% 20.36/20.60 cnf(matrix-2071, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3125) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3126), _u3127)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3126), _u3128)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3126, _u3125), _u3129), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3126, tc_HOL_Obool)), _u3127), _u3128)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3125), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3126, _u3125), _u3129), _u3127)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3126, _u3125), _u3129), _u3128))) | ( hAPP(_u3129, skolem58(_u3129, _u3128, _u3127, _u3126, _u3125)) != c_Groups_Oone__class_Oone(_u3125)) )).
% 20.36/20.60 cnf(matrix-2072, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3130) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3131), _u3132)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3131), _u3133)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3131, tc_HOL_Obool)), _u3132), _u3133) != c_Orderings_Obot__class_Obot(tc_fun(_u3131, tc_HOL_Obool))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3130, _u3131, c_Groups_Otimes__class_Otimes(_u3130)), _u3134), c_Groups_Oone__class_Oone(_u3130)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3131, tc_HOL_Obool)), _u3132), _u3133)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3130), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3130, _u3131, c_Groups_Otimes__class_Otimes(_u3130)), _u3134), c_Groups_Oone__class_Oone(_u3130)), _u3132)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3130, _u3131, c_Groups_Otimes__class_Otimes(_u3130)), _u3134), c_Groups_Oone__class_Oone(_u3130)), _u3133))) )).
% 20.36/20.60 cnf(matrix-2073, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3136) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3137), _u3138)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3137, tc_HOL_Obool)), _u3139), _u3138)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3137, _u3136), _u3140), _u3138) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3137, _u3136), _u3140), _u3139)) | hBOOL(hAPP(hAPP(c_member(_u3137), skolem59(_u3140, _u3139, _u3138, _u3137, _u3136)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3137, tc_HOL_Obool)), _u3138), _u3139))) )).
% 20.36/20.60 cnf(matrix-2074, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3136) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3137), _u3138)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3137, tc_HOL_Obool)), _u3139), _u3138)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3137, _u3136), _u3140), _u3138) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3137, _u3136), _u3140), _u3139)) | ( hAPP(_u3140, skolem59(_u3140, _u3139, _u3138, _u3137, _u3136)) != c_Groups_Oone__class_Oone(_u3136)) )).
% 20.36/20.60 cnf(matrix-2075, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3142) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3143), _u3144)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3143, tc_HOL_Obool)), _u3145), _u3144)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3143, _u3142), _u3146), _u3145) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3143, _u3142), _u3146), _u3144)) | hBOOL(hAPP(hAPP(c_member(_u3143), skolem60(_u3146, _u3145, _u3144, _u3143, _u3142)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3143, tc_HOL_Obool)), _u3144), _u3145))) )).
% 20.36/20.60 cnf(matrix-2076, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3142) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3143), _u3144)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3143, tc_HOL_Obool)), _u3145), _u3144)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3143, _u3142), _u3146), _u3145) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3143, _u3142), _u3146), _u3144)) | ( hAPP(_u3146, skolem60(_u3146, _u3145, _u3144, _u3143, _u3142)) != c_Groups_Oone__class_Oone(_u3142)) )).
% 20.36/20.60 cnf(matrix-2077, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3147), _u3148)) | ~hBOOL(hAPP(hAPP(c_member(_u3147), _u3149), _u3148)) | ( hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u3147), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3147, tc_HOL_Obool)), _u3148), hAPP(hAPP(c_Set_Oinsert(_u3147), _u3149), c_Orderings_Obot__class_Obot(tc_fun(_u3147, tc_HOL_Obool)))))) = hAPP(c_Finite__Set_Ocard(_u3147), _u3148)) )).
% 20.36/20.60 cnf(matrix-2078, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3150), _u3151)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3150)), hAPP(c_Nat_OSuc, _u3151))) )).
% 20.36/20.60 cnf(matrix-2079, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3152), hAPP(c_Nat_OSuc, _u3152))) )).
% 20.36/20.60 cnf(matrix-2080, plain, ( ( hAPP(c_Nat_OSuc, _u3153) != hAPP(c_Nat_OSuc, _u3154)) | ( _u3153 = _u3154) )).
% 20.36/20.60 cnf(matrix-2081, plain, ( ( hAPP(c_Nat_OSuc, _u3157) != hAPP(c_Nat_OSuc, _u3159)) | ( _u3157 = _u3159) )).
% 20.36/20.60 cnf(matrix-2082, plain, ( ( _u3158 != _u3160) | ( hAPP(c_Nat_OSuc, _u3158) = hAPP(c_Nat_OSuc, _u3160)) )).
% 20.36/20.60 cnf(matrix-2083, plain, ( ( hAPP(c_Nat_OSuc, _u3161) != _u3161) )).
% 20.36/20.60 cnf(matrix-2084, plain, ( ( _u3162 != hAPP(c_Nat_OSuc, _u3162)) )).
% 20.36/20.60 cnf(matrix-2085, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3163)), hAPP(c_Nat_OSuc, _u3164))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3163), _u3164)) )).
% 20.36/20.60 cnf(matrix-2086, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3165)), _u3166)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3165), _u3166)) )).
% 20.36/20.60 cnf(matrix-2087, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3167), hAPP(c_Nat_OSuc, _u3168))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3167), _u3168)) | ( _u3167 = _u3168) )).
% 20.36/20.60 cnf(matrix-2088, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3169), _u3170)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3170), _u3171)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3169)), _u3171)) )).
% 20.36/20.60 cnf(matrix-2089, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3172), _u3173)) | ( hAPP(c_Nat_OSuc, _u3172) = _u3173) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3172)), _u3173)) )).
% 20.36/20.60 cnf(matrix-2090, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3174), _u3175)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3174), hAPP(c_Nat_OSuc, _u3175))) )).
% 20.36/20.60 cnf(matrix-2091, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3176), _u3177)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3176), hAPP(c_Nat_OSuc, _u3177))) | ( _u3177 = _u3176) )).
% 20.36/20.60 cnf(matrix-2092, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3178), _u3179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3178), hAPP(c_Nat_OSuc, _u3179))) | ( _u3178 = _u3179) )).
% 20.36/20.60 cnf(matrix-2093, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3178), _u3179)) | ( _u3178 != _u3179) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3178), hAPP(c_Nat_OSuc, _u3179))) )).
% 20.36/20.60 cnf(matrix-2094, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3182)), hAPP(c_Nat_OSuc, _u3184))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3182), _u3184)) )).
% 20.36/20.60 cnf(matrix-2095, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3183), _u3185)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3183)), hAPP(c_Nat_OSuc, _u3185))) )).
% 20.36/20.60 cnf(matrix-2096, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3188), hAPP(c_Nat_OSuc, _u3190))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3188), _u3190)) | ( _u3188 = _u3190) )).
% 20.36/20.60 cnf(matrix-2097, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3189), hAPP(c_Nat_OSuc, _u3191))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3189), _u3191)) )).
% 20.36/20.60 cnf(matrix-2098, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3189), hAPP(c_Nat_OSuc, _u3191))) | ( _u3189 != _u3191) )).
% 20.36/20.60 cnf(matrix-2099, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3194), _u3196)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3196), hAPP(c_Nat_OSuc, _u3194))) )).
% 20.36/20.60 cnf(matrix-2100, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3197), hAPP(c_Nat_OSuc, _u3195))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3195), _u3197)) )).
% 20.36/20.60 cnf(matrix-2101, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3198)), _u3199) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3198), hAPP(c_Nat_OSuc, _u3199))) )).
% 20.36/20.60 cnf(matrix-2102, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3200)), _u3201) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3200), _u3201))) )).
% 20.36/20.60 cnf(matrix-2103, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3202), hAPP(c_Nat_OSuc, _u3203)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3202), _u3203))) )).
% 20.36/20.60 cnf(matrix-2104, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3204)), _u3205)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3204), _u3205)) )).
% 20.36/20.60 cnf(matrix-2105, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3206), hAPP(c_Nat_OSuc, _u3207))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3206), _u3207)) | ( _u3206 = hAPP(c_Nat_OSuc, _u3207)) )).
% 20.36/20.60 cnf(matrix-2106, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3208), _u3209)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3208), hAPP(c_Nat_OSuc, _u3209))) )).
% 20.36/20.60 cnf(matrix-2107, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3212)), hAPP(c_Nat_OSuc, _u3214))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3212), _u3214)) )).
% 20.36/20.60 cnf(matrix-2108, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3213), _u3215)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3213)), hAPP(c_Nat_OSuc, _u3215))) )).
% 20.36/20.60 cnf(matrix-2109, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3218), hAPP(c_Nat_OSuc, _u3220))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3218), _u3220)) | ( _u3218 = hAPP(c_Nat_OSuc, _u3220)) )).
% 20.36/20.60 cnf(matrix-2110, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3219), hAPP(c_Nat_OSuc, _u3221))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3219), _u3221)) )).
% 20.36/20.60 cnf(matrix-2111, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3219), hAPP(c_Nat_OSuc, _u3221))) | ( _u3219 != hAPP(c_Nat_OSuc, _u3221)) )).
% 20.36/20.60 cnf(matrix-2112, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3224), _u3226)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3226)), _u3224)) )).
% 20.36/20.60 cnf(matrix-2113, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3227)), _u3225)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3225), _u3227)) )).
% 20.36/20.60 cnf(matrix-2114, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3228)), _u3228)) )).
% 20.36/20.60 cnf(matrix-2115, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3229)), hAPP(c_Nat_OSuc, _u3230)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3229), _u3230)) )).
% 20.36/20.60 cnf(matrix-2116, 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, _u3231)), _u3232)), hAPP(c_Nat_OSuc, _u3233)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3231), _u3232)), _u3233)) )).
% 20.36/20.60 cnf(matrix-2117, plain, ( ( _u3239 = _u3241) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3237)), _u3239) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3237)), _u3241)) )).
% 20.36/20.60 cnf(matrix-2118, plain, ( ( _u3240 != _u3242) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3238)), _u3240) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3238)), _u3242)) )).
% 20.36/20.60 cnf(matrix-2119, plain, ( ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3243, _u3244, _u3245), _u3246), _u3247), c_Orderings_Obot__class_Obot(tc_fun(_u3244, tc_HOL_Obool))) = _u3247) )).
% 20.36/20.60 cnf(matrix-2120, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3248)), hAPP(c_Nat_OSuc, _u3249)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u3248), _u3249))) )).
% 20.36/20.60 cnf(matrix-2121, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3250), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3250), _u3251)))) )).
% 20.36/20.60 cnf(matrix-2122, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3252), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3253), _u3252)))) )).
% 20.36/20.60 cnf(matrix-2123, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3258), _u3260)) | ( _u3260 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3258), skolem61(_u3260, _u3258)))) )).
% 20.36/20.60 cnf(matrix-2124, plain, ( ( _u3261 != hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3259), _u3255))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3259), _u3261)) )).
% 20.36/20.60 cnf(matrix-2125, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3262)), _u3263)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3262), _u3263)) )).
% 20.36/20.60 cnf(matrix-2126, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3264), _u3265)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3265), hAPP(c_Nat_OSuc, _u3264))) | ( _u3265 = _u3264) )).
% 20.36/20.60 cnf(matrix-2127, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3264), _u3265)) | ( _u3265 != _u3264) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3265), hAPP(c_Nat_OSuc, _u3264))) )).
% 20.36/20.60 cnf(matrix-2128, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3266), _u3267)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3266)), _u3267)) )).
% 20.36/20.60 cnf(matrix-2129, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3268), _u3269)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3268), hAPP(c_Nat_OSuc, _u3269))) )).
% 20.36/20.60 cnf(matrix-2130, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3272)), _u3274)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3272), _u3274)) )).
% 20.36/20.60 cnf(matrix-2131, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3273), _u3275)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3273)), _u3275)) )).
% 20.36/20.60 cnf(matrix-2132, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3278), hAPP(c_Nat_OSuc, _u3280))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3278), _u3280)) )).
% 20.36/20.60 cnf(matrix-2133, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3279), _u3281)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3279), hAPP(c_Nat_OSuc, _u3281))) )).
% 20.36/20.60 cnf(matrix-2134, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3284), _u3286)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3284)), _u3286)) )).
% 20.36/20.60 cnf(matrix-2135, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3285)), _u3287)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3285), _u3287)) )).
% 20.36/20.60 cnf(matrix-2136, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3288), _u3289)), hAPP(c_Nat_OSuc, _u3288))) )).
% 20.36/20.60 cnf(matrix-2137, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3295), _u3297)) | ~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, _u3293)), _u3295)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3293)), _u3297))) )).
% 20.36/20.60 cnf(matrix-2138, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3296), _u3298)) | 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, _u3294)), _u3296)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3294)), _u3298))) )).
% 20.36/20.60 cnf(matrix-2139, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3299), hAPP(c_Nat_OSuc, _u3300)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3299), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3299), _u3300))) )).
% 20.36/20.60 cnf(matrix-2140, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3301)), _u3302) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3302), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3301), _u3302))) )).
% 20.36/20.60 cnf(matrix-2141, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3303), _u3304)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3304)), _u3303) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3304), _u3303))) )).
% 20.36/20.60 cnf(matrix-2142, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3310), _u3312)) | ~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, _u3308)), _u3310)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3308)), _u3312))) )).
% 20.36/20.60 cnf(matrix-2143, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3311), _u3313)) | 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, _u3309)), _u3311)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3309)), _u3313))) )).
% 20.36/20.60 cnf(matrix-2144, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3314)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u3314) )).
% 20.36/20.60 cnf(matrix-2145, plain, ( ~c_Finite__Set_Ofolding__image__simple(_u3315, _u3316, _u3317, _u3318, _u3319, _u3320) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3316), _u3321)) | ( hAPP(_u3320, _u3321) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3315, _u3316, _u3317), _u3319), _u3318), _u3321)) )).
% 20.36/20.60 cnf(matrix-2146, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3322), _u3323)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3324), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3323), _u3322))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3324), _u3322)), hAPP(c_Nat_OSuc, _u3323))) )).
% 20.36/20.60 cnf(matrix-2147, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3325), _u3326)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3326), _u3325))), _u3327) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3326)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3325), _u3327))) )).
% 20.36/20.60 cnf(matrix-2148, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3328), _u3329)) | hBOOL(hAPP(hAPP(c_member(_u3328), _u3330), _u3329)) | ( hAPP(c_Finite__Set_Ocard(_u3328), hAPP(hAPP(c_Set_Oinsert(_u3328), _u3330), _u3329)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u3328), _u3329))) )).
% 20.36/20.60 cnf(matrix-2149, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3331), _u3332)) | ~hBOOL(hAPP(hAPP(c_member(_u3331), _u3333), _u3332)) | ( hAPP(c_Finite__Set_Ocard(_u3331), hAPP(hAPP(c_Set_Oinsert(_u3331), _u3333), _u3332)) = hAPP(c_Finite__Set_Ocard(_u3331), _u3332)) )).
% 20.36/20.60 cnf(matrix-2150, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3331), _u3332)) | hBOOL(hAPP(hAPP(c_member(_u3331), _u3333), _u3332)) | ( hAPP(c_Finite__Set_Ocard(_u3331), hAPP(hAPP(c_Set_Oinsert(_u3331), _u3333), _u3332)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u3331), _u3332))) )).
% 20.36/20.60 cnf(matrix-2151, plain, ( ~class_Groups_Oab__semigroup__mult(_u3334) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3335), _u3336)) | hBOOL(hAPP(hAPP(c_member(_u3335), _u3337), _u3336)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3334, _u3335, c_Groups_Otimes__class_Otimes(_u3334)), _u3338), _u3339), hAPP(hAPP(c_Set_Oinsert(_u3335), _u3337), _u3336)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3334), hAPP(_u3338, _u3337)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3334, _u3335, c_Groups_Otimes__class_Otimes(_u3334)), _u3338), _u3339), _u3336))) )).
% 20.36/20.60 cnf(matrix-2152, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3340) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3341), _u3342)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3341, _u3340), _u3343), _u3342) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3340, _u3341, c_Groups_Otimes__class_Otimes(_u3340)), _u3343), c_Groups_Oone__class_Oone(_u3340)), _u3342)) )).
% 20.36/20.60 cnf(matrix-2153, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3340) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3341), _u3342)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3341, _u3340), _u3343), _u3342) = c_Groups_Oone__class_Oone(_u3340)) )).
% 20.36/20.60 cnf(matrix-2154, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3344) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3345), _u3346)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3345, _u3344), _u3347), _u3346) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3344, _u3345, c_Groups_Otimes__class_Otimes(_u3344)), _u3347), c_Groups_Oone__class_Oone(_u3344)), _u3346)) )).
% 20.36/20.60 cnf(matrix-2155, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3348), _u3349)) | ( hAPP(c_Finite__Set_Ocard(_u3348), hAPP(hAPP(c_Set_Oinsert(_u3348), _u3350), _u3349)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u3348), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3348, tc_HOL_Obool)), _u3349), hAPP(hAPP(c_Set_Oinsert(_u3348), _u3350), c_Orderings_Obot__class_Obot(tc_fun(_u3348, tc_HOL_Obool))))))) )).
% 20.36/20.60 cnf(matrix-2156, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3351) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3352), _u3353)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3352), _u3354)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3351), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3351, _u3352, c_Groups_Otimes__class_Otimes(_u3351)), _u3355), c_Groups_Oone__class_Oone(_u3351)), _u3353)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3351, _u3352, c_Groups_Otimes__class_Otimes(_u3351)), _u3355), c_Groups_Oone__class_Oone(_u3351)), _u3354)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3351), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3351, _u3352, c_Groups_Otimes__class_Otimes(_u3351)), _u3355), c_Groups_Oone__class_Oone(_u3351)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3352, tc_HOL_Obool)), _u3353), _u3354))), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3351, _u3352, c_Groups_Otimes__class_Otimes(_u3351)), _u3355), c_Groups_Oone__class_Oone(_u3351)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3352, tc_HOL_Obool)), _u3353), _u3354)))) )).
% 20.36/20.60 cnf(matrix-2157, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3356), hAPP(c_Nat_OSuc, _u3357)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3356), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u3357)) )).
% 20.36/20.60 cnf(matrix-2158, plain, ( ( hAPP(c_Nat_OSuc, _u3358) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u3358)) )).
% 20.36/20.60 cnf(matrix-2159, plain, ( ( hAPP(c_Nat_OSuc, _u3359) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3359), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 20.36/20.60 cnf(matrix-2160, plain, ( ~c_Big__Operators_Ocomm__monoid__big(_u3360, _u3361, _u3362, _u3363, _u3364) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3361), _u3365)) | ( hAPP(hAPP(_u3364, _u3366), _u3365) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3360, _u3361, _u3362), _u3366), _u3363), _u3365)) )).
% 20.36/20.60 cnf(matrix-2161, plain, ( ~c_Big__Operators_Ocomm__monoid__big(_u3360, _u3361, _u3362, _u3363, _u3364) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3361), _u3365)) | ( hAPP(hAPP(_u3364, _u3366), _u3365) = _u3363) )).
% 20.36/20.60 cnf(matrix-2162, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3368) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3369), _u3370)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3369), _u3371)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3368, _u3369, c_Groups_Otimes__class_Otimes(_u3368)), _u3372), c_Groups_Oone__class_Oone(_u3368)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3369, tc_HOL_Obool)), _u3370), _u3371)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3368), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3368, _u3369, c_Groups_Otimes__class_Otimes(_u3368)), _u3372), c_Groups_Oone__class_Oone(_u3368)), _u3370)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3368, _u3369, c_Groups_Otimes__class_Otimes(_u3368)), _u3372), c_Groups_Oone__class_Oone(_u3368)), _u3371))) | hBOOL(hAPP(hAPP(c_member(_u3369), skolem62(_u3372, _u3371, _u3370, _u3369, _u3368)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3369, tc_HOL_Obool)), _u3370), _u3371))) )).
% 20.36/20.60 cnf(matrix-2163, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3368) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3369), _u3370)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3369), _u3371)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3368, _u3369, c_Groups_Otimes__class_Otimes(_u3368)), _u3372), c_Groups_Oone__class_Oone(_u3368)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3369, tc_HOL_Obool)), _u3370), _u3371)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3368), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3368, _u3369, c_Groups_Otimes__class_Otimes(_u3368)), _u3372), c_Groups_Oone__class_Oone(_u3368)), _u3370)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3368, _u3369, c_Groups_Otimes__class_Otimes(_u3368)), _u3372), c_Groups_Oone__class_Oone(_u3368)), _u3371))) | ( hAPP(_u3372, skolem62(_u3372, _u3371, _u3370, _u3369, _u3368)) != c_Groups_Oone__class_Oone(_u3368)) )).
% 20.36/20.60 cnf(matrix-2164, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3373) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3373), _u3374)) | ( c_Complete__Lattice_OSup__class_OSup(_u3373, _u3374) = hAPP(hAPP(c_Finite__Set_Ofold(_u3373, _u3373, c_Lattices_Osemilattice__sup__class_Osup(_u3373)), c_Orderings_Obot__class_Obot(_u3373)), _u3374)) )).
% 20.36/20.60 cnf(matrix-2165, plain, ( ~c_Finite__Set_Ofun__left__comm(_u3376, _u3377, _u3378) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u3376, _u3377, _u3378, _u3379, hAPP(hAPP(c_Set_Oinsert(_u3376), _u3380), _u3381)), _u3382)) | hBOOL(hAPP(hAPP(c_member(_u3376), _u3380), _u3381)) | ( _u3382 = hAPP(hAPP(_u3378, _u3380), skolem63(_u3382, _u3381, _u3380, _u3379, _u3378, _u3377, _u3376))) )).
% 20.36/20.60 cnf(matrix-2166, plain, ( ~c_Finite__Set_Ofun__left__comm(_u3376, _u3377, _u3378) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u3376, _u3377, _u3378, _u3379, hAPP(hAPP(c_Set_Oinsert(_u3376), _u3380), _u3381)), _u3382)) | hBOOL(hAPP(hAPP(c_member(_u3376), _u3380), _u3381)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u3376, _u3377, _u3378, _u3379, _u3381), skolem63(_u3382, _u3381, _u3380, _u3379, _u3378, _u3377, _u3376))) )).
% 20.36/20.60 cnf(matrix-2167, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3383), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3383, tc_HOL_Obool), _u3384))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u3383, tc_HOL_Obool)), _u3384)) )).
% 20.36/20.60 cnf(matrix-2168, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3385) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3385), _u3386)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3385), _u3387), c_Complete__Lattice_OSup__class_OSup(_u3385, _u3386)) = hAPP(hAPP(c_Finite__Set_Ofold(_u3385, _u3385, c_Lattices_Osemilattice__sup__class_Osup(_u3385)), _u3387), _u3386)) )).
% 20.36/20.60 cnf(matrix-2169, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3388) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3388), _u3389)) | ( _u3389 = c_Orderings_Obot__class_Obot(tc_fun(_u3388, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3388, _u3389) = c_Complete__Lattice_OSup__class_OSup(_u3388, _u3389)) )).
% 20.36/20.60 cnf(matrix-2170, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u3391), _u3395)) | ( hAPP(hAPP(_u3394, _u3396), _u3395) = _u3393) | ~c_Big__Operators_Ocomm__monoid__big(_u3390, _u3391, _u3392, _u3393, _u3394) )).
% 20.36/20.60 cnf(matrix-2171, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3397) | ( c_Complete__Lattice_OSup__class_OSup(_u3397, hAPP(hAPP(c_Set_Oinsert(_u3397), _u3398), hAPP(hAPP(c_Set_Oinsert(_u3397), _u3399), c_Orderings_Obot__class_Obot(tc_fun(_u3397, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3397), _u3398), _u3399)) )).
% 20.36/20.60 cnf(matrix-2172, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3400) | ( c_Complete__Lattice_OSup__class_OSup(_u3400, hAPP(hAPP(c_Set_Oinsert(_u3400), _u3401), _u3402)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3400), _u3401), c_Complete__Lattice_OSup__class_OSup(_u3400, _u3402))) )).
% 20.36/20.60 cnf(matrix-2173, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3403) | ( c_Complete__Lattice_OSup__class_OSup(_u3403, hAPP(hAPP(c_Set_Oinsert(_u3403), _u3404), c_Orderings_Obot__class_Obot(tc_fun(_u3403, tc_HOL_Obool)))) = _u3404) )).
% 20.36/20.60 cnf(matrix-2174, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3405) | ( c_Complete__Lattice_OSup__class_OSup(_u3405, c_Orderings_Obot__class_Obot(tc_fun(_u3405, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u3405)) )).
% 20.36/20.60 cnf(matrix-2175, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3406) | ~hBOOL(hAPP(hAPP(c_member(_u3406), _u3407), _u3408)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3406), _u3407), c_Complete__Lattice_OSup__class_OSup(_u3406, _u3408))) )).
% 20.36/20.60 cnf(matrix-2176, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3409, tc_HOL_Obool)), _u3410), _u3411)) | ~hBOOL(hAPP(hAPP(c_member(_u3409), _u3412), _u3410)) | hBOOL(hAPP(hAPP(c_member(_u3409), _u3412), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3409, tc_HOL_Obool), _u3411))) )).
% 20.36/20.60 cnf(matrix-2177, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u3413, tc_HOL_Obool), tc_HOL_Obool)), _u3414), _u3415)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3413, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3413, tc_HOL_Obool), _u3414)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3413, tc_HOL_Obool), _u3415))) )).
% 20.36/20.60 cnf(matrix-2178, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3418) | ~class_Orderings_Olinorder(_u3418) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3418), _u3419), c_Complete__Lattice_OSup__class_OSup(_u3418, _u3420))) | hBOOL(hAPP(hAPP(c_member(_u3418), skolem64(_u3420, _u3419, _u3418)), _u3420)) )).
% 20.36/20.60 cnf(matrix-2179, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3418) | ~class_Orderings_Olinorder(_u3418) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3418), _u3419), c_Complete__Lattice_OSup__class_OSup(_u3418, _u3420))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3418), _u3419), skolem64(_u3420, _u3419, _u3418))) )).
% 20.36/20.60 cnf(matrix-2180, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3418) | ~class_Orderings_Olinorder(_u3418) | ~hBOOL(hAPP(hAPP(c_member(_u3418), _u3417), _u3420)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3418), _u3419), _u3417)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3418), _u3419), c_Complete__Lattice_OSup__class_OSup(_u3418, _u3420))) )).
% 20.36/20.60 cnf(matrix-2181, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3421, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u3421, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u3421, tc_HOL_Obool))) )).
% 20.36/20.60 cnf(matrix-2182, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3422, tc_HOL_Obool)), _u3423), _u3424)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3422, tc_HOL_Obool)), _u3423), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3422, tc_HOL_Obool), _u3424))) )).
% 20.36/20.60 cnf(matrix-2183, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3425, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u3425, tc_HOL_Obool)), _u3426), _u3427)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3425, tc_HOL_Obool)), _u3426), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3425, tc_HOL_Obool), _u3427))) )).
% 20.36/20.60 cnf(matrix-2184, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3428, tc_HOL_Obool)), _u3429), _u3430) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3428, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u3428, tc_HOL_Obool)), _u3429), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u3428, tc_HOL_Obool)), _u3430), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u3428, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 20.36/20.60 cnf(matrix-2185, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3431, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u3431, tc_HOL_Obool), tc_HOL_Obool)), _u3432), _u3433)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3431, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3431, tc_HOL_Obool), _u3432)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3431, tc_HOL_Obool), _u3433))) )).
% 20.36/20.60 cnf(matrix-2186, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3439, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3439, tc_HOL_Obool), _u3441)), _u3443) != c_Orderings_Obot__class_Obot(tc_fun(_u3439, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3439, tc_HOL_Obool)), _u3434), _u3441)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3439, tc_HOL_Obool)), _u3434), _u3443) = c_Orderings_Obot__class_Obot(tc_fun(_u3439, tc_HOL_Obool))) )).
% 20.36/20.60 cnf(matrix-2187, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3440, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3440, tc_HOL_Obool), _u3442)), _u3444) = c_Orderings_Obot__class_Obot(tc_fun(_u3440, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u3440, tc_HOL_Obool)), skolem65(_u3444, _u3442, _u3440)), _u3442)) )).
% 20.36/20.60 cnf(matrix-2188, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3440, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3440, tc_HOL_Obool), _u3442)), _u3444) = c_Orderings_Obot__class_Obot(tc_fun(_u3440, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3440, tc_HOL_Obool)), skolem65(_u3444, _u3442, _u3440)), _u3444) != c_Orderings_Obot__class_Obot(tc_fun(_u3440, tc_HOL_Obool))) )).
% 20.36/20.60 cnf(matrix-2189, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3445, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3445, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u3445, tc_HOL_Obool), tc_HOL_Obool)), _u3446), _u3447))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3445, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3445, tc_HOL_Obool), _u3446)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3445, tc_HOL_Obool), _u3447)))) )).
% 20.36/20.60 cnf(matrix-2190, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3450) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3450), c_Complete__Lattice_OSup__class_OSup(_u3450, _u3451)), _u3452)) | ~hBOOL(hAPP(hAPP(c_member(_u3450), _u3448), _u3451)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3450), _u3448), _u3452)) )).
% 20.36/20.60 cnf(matrix-2191, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3450) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3450), c_Complete__Lattice_OSup__class_OSup(_u3450, _u3451)), _u3452)) | hBOOL(hAPP(hAPP(c_member(_u3450), skolem66(_u3452, _u3451, _u3450)), _u3451)) )).
% 20.36/20.60 cnf(matrix-2192, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3450) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3450), c_Complete__Lattice_OSup__class_OSup(_u3450, _u3451)), _u3452)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3450), skolem66(_u3452, _u3451, _u3450)), _u3452)) )).
% 20.36/20.60 cnf(matrix-2193, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u3454, tc_HOL_Obool)), _u3455)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3454), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3454, tc_HOL_Obool), _u3455))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u3454, tc_HOL_Obool)), skolem67(_u3455, _u3454)), _u3455)) )).
% 20.36/20.60 cnf(matrix-2194, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u3454, tc_HOL_Obool)), _u3455)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3454), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3454, tc_HOL_Obool), _u3455))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3454), skolem67(_u3455, _u3454))) )).
% 20.36/20.60 cnf(matrix-2195, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u3456, _u3457, _u3458) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3456), _u3459)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u3456, _u3457, _u3458), _u3460), hAPP(hAPP(c_Set_Oinsert(_u3456), _u3461), _u3459)) = hAPP(hAPP(_u3458, _u3461), hAPP(hAPP(c_Finite__Set_Ofold(_u3456, _u3457, _u3458), _u3460), _u3459))) )).
% 20.36/20.60 cnf(matrix-2196, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u3462, _u3463, _u3464) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3462), _u3465)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u3462, _u3463, _u3464), _u3466), hAPP(hAPP(c_Set_Oinsert(_u3462), _u3467), _u3465)) = hAPP(hAPP(c_Finite__Set_Ofold(_u3462, _u3463, _u3464), hAPP(hAPP(_u3464, _u3467), _u3466)), _u3465)) )).
% 20.36/20.60 cnf(matrix-2197, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u3470, tc_HOL_Obool)), _u3471), _u3472)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3470, tc_HOL_Obool)), _u3471), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3470, tc_HOL_Obool), _u3472)) = c_Orderings_Obot__class_Obot(tc_fun(_u3470, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u3470, tc_HOL_Obool)), skolem68(_u3472, _u3471, _u3470)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u3470, tc_HOL_Obool)), _u3471), _u3472))) )).
% 20.36/20.60 cnf(matrix-2198, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u3470, tc_HOL_Obool)), _u3471), _u3472)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3470, tc_HOL_Obool)), _u3471), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3470, tc_HOL_Obool), _u3472)) = c_Orderings_Obot__class_Obot(tc_fun(_u3470, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u3470, tc_HOL_Obool)), skolem69(_u3472, _u3471, _u3470)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u3470, tc_HOL_Obool)), _u3471), _u3472))) )).
% 20.36/20.60 cnf(matrix-2199, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u3470, tc_HOL_Obool)), _u3471), _u3472)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3470, tc_HOL_Obool)), _u3471), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3470, tc_HOL_Obool), _u3472)) = c_Orderings_Obot__class_Obot(tc_fun(_u3470, tc_HOL_Obool))) | ( skolem68(_u3472, _u3471, _u3470) != skolem69(_u3472, _u3471, _u3470)) )).
% 20.36/20.60 cnf(matrix-2200, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u3470, tc_HOL_Obool)), _u3471), _u3472)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3470, tc_HOL_Obool)), _u3471), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3470, tc_HOL_Obool), _u3472)) = c_Orderings_Obot__class_Obot(tc_fun(_u3470, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3470, tc_HOL_Obool)), skolem68(_u3472, _u3471, _u3470)), skolem69(_u3472, _u3471, _u3470)) != c_Orderings_Obot__class_Obot(tc_fun(_u3470, tc_HOL_Obool))) )).
% 20.36/20.60 cnf(matrix-2201, plain, ( ~class_Rings_Olinordered__semiring__1__strict(_u3473) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3473), _u3474), _u3475)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3473), _u3476), _u3475)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3473), c_Groups_Ozero__class_Ozero(_u3473)), _u3477)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3473), c_Groups_Ozero__class_Ozero(_u3473)), _u3478)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3473), _u3477), _u3478) != c_Groups_Oone__class_Oone(_u3473)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3473), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3473), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3473), _u3477), _u3474)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3473), _u3478), _u3476))), _u3475)) )).
% 20.36/20.60 cnf(matrix-2202, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u3482, tc_HOL_Obool)), _u3483)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3482), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3482, tc_HOL_Obool), _u3483))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u3482, tc_HOL_Obool)), skolem70(_u3484, _u3483, _u3482)), _u3483)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3484), hAPP(c_Finite__Set_Ocard(tc_fun(_u3482, tc_HOL_Obool)), _u3483)) = hAPP(c_Finite__Set_Ocard(_u3482), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3482, tc_HOL_Obool), _u3483))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u3482, tc_HOL_Obool)), skolem71(_u3484, _u3483, _u3482)), _u3483)) )).
% 20.36/20.60 cnf(matrix-2203, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u3482, tc_HOL_Obool)), _u3483)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3482), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3482, tc_HOL_Obool), _u3483))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u3482, tc_HOL_Obool)), skolem70(_u3484, _u3483, _u3482)), _u3483)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3484), hAPP(c_Finite__Set_Ocard(tc_fun(_u3482, tc_HOL_Obool)), _u3483)) = hAPP(c_Finite__Set_Ocard(_u3482), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3482, tc_HOL_Obool), _u3483))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u3482, tc_HOL_Obool)), skolem72(_u3484, _u3483, _u3482)), _u3483)) )).
% 20.36/20.60 cnf(matrix-2204, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u3482, tc_HOL_Obool)), _u3483)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3482), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3482, tc_HOL_Obool), _u3483))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u3482, tc_HOL_Obool)), skolem70(_u3484, _u3483, _u3482)), _u3483)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3484), hAPP(c_Finite__Set_Ocard(tc_fun(_u3482, tc_HOL_Obool)), _u3483)) = hAPP(c_Finite__Set_Ocard(_u3482), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3482, tc_HOL_Obool), _u3483))) | ( skolem71(_u3484, _u3483, _u3482) != skolem72(_u3484, _u3483, _u3482)) )).
% 20.36/20.60 cnf(matrix-2205, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u3482, tc_HOL_Obool)), _u3483)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3482), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3482, tc_HOL_Obool), _u3483))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u3482, tc_HOL_Obool)), skolem70(_u3484, _u3483, _u3482)), _u3483)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3484), hAPP(c_Finite__Set_Ocard(tc_fun(_u3482, tc_HOL_Obool)), _u3483)) = hAPP(c_Finite__Set_Ocard(_u3482), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3482, tc_HOL_Obool), _u3483))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3482, tc_HOL_Obool)), skolem71(_u3484, _u3483, _u3482)), skolem72(_u3484, _u3483, _u3482)) != c_Orderings_Obot__class_Obot(tc_fun(_u3482, tc_HOL_Obool))) )).
% 20.36/20.60 cnf(matrix-2206, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u3482, tc_HOL_Obool)), _u3483)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3482), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3482, tc_HOL_Obool), _u3483))) | ( hAPP(c_Finite__Set_Ocard(_u3482), skolem70(_u3484, _u3483, _u3482)) != _u3484) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3484), hAPP(c_Finite__Set_Ocard(tc_fun(_u3482, tc_HOL_Obool)), _u3483)) = hAPP(c_Finite__Set_Ocard(_u3482), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3482, tc_HOL_Obool), _u3483))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u3482, tc_HOL_Obool)), skolem71(_u3484, _u3483, _u3482)), _u3483)) )).
% 20.36/20.60 cnf(matrix-2207, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u3482, tc_HOL_Obool)), _u3483)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3482), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3482, tc_HOL_Obool), _u3483))) | ( hAPP(c_Finite__Set_Ocard(_u3482), skolem70(_u3484, _u3483, _u3482)) != _u3484) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3484), hAPP(c_Finite__Set_Ocard(tc_fun(_u3482, tc_HOL_Obool)), _u3483)) = hAPP(c_Finite__Set_Ocard(_u3482), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3482, tc_HOL_Obool), _u3483))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u3482, tc_HOL_Obool)), skolem72(_u3484, _u3483, _u3482)), _u3483)) )).
% 20.36/20.60 cnf(matrix-2208, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u3482, tc_HOL_Obool)), _u3483)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3482), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3482, tc_HOL_Obool), _u3483))) | ( hAPP(c_Finite__Set_Ocard(_u3482), skolem70(_u3484, _u3483, _u3482)) != _u3484) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3484), hAPP(c_Finite__Set_Ocard(tc_fun(_u3482, tc_HOL_Obool)), _u3483)) = hAPP(c_Finite__Set_Ocard(_u3482), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3482, tc_HOL_Obool), _u3483))) | ( skolem71(_u3484, _u3483, _u3482) != skolem72(_u3484, _u3483, _u3482)) )).
% 20.36/20.60 cnf(matrix-2209, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u3482, tc_HOL_Obool)), _u3483)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3482), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3482, tc_HOL_Obool), _u3483))) | ( hAPP(c_Finite__Set_Ocard(_u3482), skolem70(_u3484, _u3483, _u3482)) != _u3484) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3484), hAPP(c_Finite__Set_Ocard(tc_fun(_u3482, tc_HOL_Obool)), _u3483)) = hAPP(c_Finite__Set_Ocard(_u3482), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3482, tc_HOL_Obool), _u3483))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3482, tc_HOL_Obool)), skolem71(_u3484, _u3483, _u3482)), skolem72(_u3484, _u3483, _u3482)) != c_Orderings_Obot__class_Obot(tc_fun(_u3482, tc_HOL_Obool))) )).
% 20.36/20.60 cnf(matrix-2210, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3486) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3487), _u3488)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3486, _u3487, c_Groups_Otimes__class_Otimes(_u3486)), _u3489), c_Groups_Oone__class_Oone(_u3486)), _u3488) = c_Groups_Oone__class_Oone(_u3486)) | hBOOL(hAPP(hAPP(c_member(_u3487), skolem73(_u3489, _u3488, _u3487, _u3486)), _u3488)) )).
% 20.36/20.60 cnf(matrix-2211, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3486) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3487), _u3488)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3486, _u3487, c_Groups_Otimes__class_Otimes(_u3486)), _u3489), c_Groups_Oone__class_Oone(_u3486)), _u3488) = c_Groups_Oone__class_Oone(_u3486)) | ( hAPP(_u3489, skolem73(_u3489, _u3488, _u3487, _u3486)) != c_Groups_Oone__class_Oone(_u3486)) )).
% 20.36/20.60 cnf(matrix-2212, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3490), _u3491)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3492), _u3493)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u3490, _u3492)), c_Sum__Type_OPlus(_u3490, _u3492, _u3491, _u3493)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3490), _u3491)), hAPP(c_Finite__Set_Ocard(_u3492), _u3493))) )).
% 20.36/20.60 cnf(matrix-2213, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3494), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.60 cnf(matrix-2214, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3495)) )).
% 20.36/20.60 cnf(matrix-2215, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Nat_OSuc, _u3496))) )).
% 20.36/20.60 cnf(matrix-2216, plain, ( ~class_Groups_Ozero(_u3497) | ( c_Groups_Ozero__class_Ozero(_u3497) != _u3498) | ( _u3498 = c_Groups_Ozero__class_Ozero(_u3497)) )).
% 20.36/20.60 cnf(matrix-2217, plain, ( ~class_Groups_Ozero(_u3497) | ( _u3498 != c_Groups_Ozero__class_Ozero(_u3497)) | ( c_Groups_Ozero__class_Ozero(_u3497) = _u3498) )).
% 20.36/20.60 cnf(matrix-2218, plain, ( ( hAPP(hAPP(_u3501, _u3502), hAPP(hAPP(_u3501, _u3502), _u3503)) = hAPP(hAPP(_u3501, _u3502), _u3503)) | ~c_Finite__Set_Ofun__left__comm__idem(_u3499, _u3500, _u3501) )).
% 20.36/20.60 cnf(matrix-2219, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u3504) | ( _u3505 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3504), _u3505), _u3506)) | ( _u3506 = c_Groups_Ozero__class_Ozero(_u3504)) )).
% 20.36/20.60 cnf(matrix-2220, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u3504) | ( _u3506 != c_Groups_Ozero__class_Ozero(_u3504)) | ( _u3505 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3504), _u3505), _u3506)) )).
% 20.36/20.60 cnf(matrix-2221, plain, ( ~class_Rings_Ocomm__semiring__1(_u3507) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3507), _u3508), c_Groups_Ozero__class_Ozero(_u3507)) = _u3508) )).
% 20.36/20.60 cnf(matrix-2222, plain, ( ~class_Rings_Ocomm__semiring__1(_u3509) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3509), c_Groups_Ozero__class_Ozero(_u3509)), _u3510) = _u3510) )).
% 20.36/20.60 cnf(matrix-2223, plain, ( ~class_Groups_Omonoid__add(_u3511) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3511), c_Groups_Ozero__class_Ozero(_u3511)), _u3512) = _u3512) )).
% 20.36/20.60 cnf(matrix-2224, plain, ( ~class_Groups_Ocomm__monoid__add(_u3513) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3513), c_Groups_Ozero__class_Ozero(_u3513)), _u3514) = _u3514) )).
% 20.36/20.60 cnf(matrix-2225, plain, ( ~class_Groups_Olinordered__ab__group__add(_u3515) | ( c_Groups_Ozero__class_Ozero(_u3515) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3515), _u3516), _u3516)) | ( _u3516 = c_Groups_Ozero__class_Ozero(_u3515)) )).
% 20.36/20.60 cnf(matrix-2226, plain, ( ~class_Groups_Olinordered__ab__group__add(_u3515) | ( _u3516 != c_Groups_Ozero__class_Ozero(_u3515)) | ( c_Groups_Ozero__class_Ozero(_u3515) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3515), _u3516), _u3516)) )).
% 20.36/20.60 cnf(matrix-2227, plain, ( ~class_Groups_Omonoid__add(_u3517) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3517), _u3518), c_Groups_Ozero__class_Ozero(_u3517)) = _u3518) )).
% 20.36/20.60 cnf(matrix-2228, plain, ( ~class_Groups_Ocomm__monoid__add(_u3519) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3519), _u3520), c_Groups_Ozero__class_Ozero(_u3519)) = _u3520) )).
% 20.36/20.60 cnf(matrix-2229, plain, ( ~class_Rings_Ono__zero__divisors(_u3521) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3521), _u3522), _u3523) != c_Groups_Ozero__class_Ozero(_u3521)) | ( _u3522 = c_Groups_Ozero__class_Ozero(_u3521)) | ( _u3523 = c_Groups_Ozero__class_Ozero(_u3521)) )).
% 20.36/20.60 cnf(matrix-2230, plain, ( ~class_Rings_Ono__zero__divisors(_u3524) | ( _u3525 = c_Groups_Ozero__class_Ozero(_u3524)) | ( _u3526 = c_Groups_Ozero__class_Ozero(_u3524)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3524), _u3525), _u3526) != c_Groups_Ozero__class_Ozero(_u3524)) )).
% 20.36/20.60 cnf(matrix-2231, plain, ( ~class_Rings_Oring__no__zero__divisors(_u3527) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3527), _u3528), _u3529) != c_Groups_Ozero__class_Ozero(_u3527)) | ( _u3528 = c_Groups_Ozero__class_Ozero(_u3527)) | ( _u3529 = c_Groups_Ozero__class_Ozero(_u3527)) )).
% 20.36/20.60 cnf(matrix-2232, plain, ( ~class_Rings_Oring__no__zero__divisors(_u3527) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3527), _u3528), _u3529) = c_Groups_Ozero__class_Ozero(_u3527)) | ( _u3528 != c_Groups_Ozero__class_Ozero(_u3527)) )).
% 20.36/20.60 cnf(matrix-2233, plain, ( ~class_Rings_Oring__no__zero__divisors(_u3527) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3527), _u3528), _u3529) = c_Groups_Ozero__class_Ozero(_u3527)) | ( _u3529 != c_Groups_Ozero__class_Ozero(_u3527)) )).
% 20.36/20.60 cnf(matrix-2234, plain, ( ~class_Rings_Ocomm__semiring__1(_u3530) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3530), _u3531), c_Groups_Ozero__class_Ozero(_u3530)) = c_Groups_Ozero__class_Ozero(_u3530)) )).
% 20.36/20.60 cnf(matrix-2235, plain, ( ~class_Rings_Omult__zero(_u3532) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3532), _u3533), c_Groups_Ozero__class_Ozero(_u3532)) = c_Groups_Ozero__class_Ozero(_u3532)) )).
% 20.36/20.60 cnf(matrix-2236, plain, ( ~class_Rings_Ocomm__semiring__1(_u3534) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3534), c_Groups_Ozero__class_Ozero(_u3534)), _u3535) = c_Groups_Ozero__class_Ozero(_u3534)) )).
% 20.36/20.60 cnf(matrix-2237, plain, ( ~class_Rings_Omult__zero(_u3536) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3536), c_Groups_Ozero__class_Ozero(_u3536)), _u3537) = c_Groups_Ozero__class_Ozero(_u3536)) )).
% 20.36/20.60 cnf(matrix-2238, plain, ( ~class_Groups_Ogroup__add(_u3538) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3538), _u3539), _u3540) != c_Groups_Ozero__class_Ozero(_u3538)) | ( _u3539 = _u3540) )).
% 20.36/20.60 cnf(matrix-2239, plain, ( ~class_Groups_Ogroup__add(_u3538) | ( _u3539 != _u3540) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3538), _u3539), _u3540) = c_Groups_Ozero__class_Ozero(_u3538)) )).
% 20.36/20.60 cnf(matrix-2240, plain, ( ~class_Groups_Oab__group__add(_u3541) | ( _u3542 != _u3543) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3541), _u3542), _u3543) = c_Groups_Ozero__class_Ozero(_u3541)) )).
% 20.36/20.60 cnf(matrix-2241, plain, ( ~class_Groups_Oab__group__add(_u3541) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3541), _u3542), _u3543) != c_Groups_Ozero__class_Ozero(_u3541)) | ( _u3542 = _u3543) )).
% 20.36/20.60 cnf(matrix-2242, plain, ( ~class_Groups_Ogroup__add(_u3544) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3544), _u3545), _u3545) = c_Groups_Ozero__class_Ozero(_u3544)) )).
% 20.36/20.60 cnf(matrix-2243, plain, ( ~class_Groups_Ogroup__add(_u3546) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3546), _u3547), c_Groups_Ozero__class_Ozero(_u3546)) = _u3547) )).
% 20.36/20.60 cnf(matrix-2244, plain, ( ~class_Rings_Ozero__neq__one(_u3548) | ( c_Groups_Oone__class_Oone(_u3548) != c_Groups_Ozero__class_Ozero(_u3548)) )).
% 20.36/20.60 cnf(matrix-2245, plain, ( ~class_Rings_Ozero__neq__one(_u3549) | ( c_Groups_Ozero__class_Ozero(_u3549) != c_Groups_Oone__class_Oone(_u3549)) )).
% 20.36/20.60 cnf(matrix-2246, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u3550)) )).
% 20.36/20.60 cnf(matrix-2247, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u3551)) )).
% 20.36/20.60 cnf(matrix-2248, plain, ( ( hAPP(c_Nat_OSuc, _u3552) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2249, plain, ( ( hAPP(c_Nat_OSuc, _u3553) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2250, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u3554)) )).
% 20.36/20.60 cnf(matrix-2251, plain, ( ( hAPP(c_Nat_OSuc, _u3555) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2252, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3556), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.60 cnf(matrix-2253, plain, ( ( _u3558 = 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)), _u3558)) )).
% 20.36/20.60 cnf(matrix-2254, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3559)) | ( _u3559 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2255, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3560), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.60 cnf(matrix-2256, plain, ( ( _u3562 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3561), _u3562)) )).
% 20.36/20.60 cnf(matrix-2257, plain, ( ( _u3563 = 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)), _u3563)) )).
% 20.36/20.60 cnf(matrix-2258, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3564) = _u3564) )).
% 20.36/20.60 cnf(matrix-2259, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3565), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u3565) )).
% 20.36/20.60 cnf(matrix-2260, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3568), _u3570) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3568 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2261, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3568), _u3570) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3570 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2262, plain, ( ( _u3569 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3571 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3569), _u3571) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2263, plain, ( ( _u3573 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3572), _u3573) != _u3572) )).
% 20.36/20.60 cnf(matrix-2264, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3574)) )).
% 20.36/20.60 cnf(matrix-2265, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3576), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3576 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2266, plain, ( ( _u3577 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3577), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.60 cnf(matrix-2267, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3578), _u3579) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3579), _u3578) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3578 = _u3579) )).
% 20.36/20.60 cnf(matrix-2268, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3580), _u3580) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2269, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3581), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u3581) )).
% 20.36/20.60 cnf(matrix-2270, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3582) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2271, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3586), _u3588) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3590), _u3588)) | ( _u3586 = _u3590) | ( _u3588 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2272, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3587), _u3589) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3591), _u3589)) | ( _u3587 != _u3591) )).
% 20.36/20.60 cnf(matrix-2273, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3587), _u3589) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3591), _u3589)) | ( _u3589 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2274, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3595), _u3597) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3595), _u3599)) | ( _u3597 = _u3599) | ( _u3595 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2275, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3596), _u3598) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3596), _u3600)) | ( _u3598 != _u3600) )).
% 20.36/20.60 cnf(matrix-2276, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3596), _u3598) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3596), _u3600)) | ( _u3596 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2277, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3603), _u3605) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3603 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3605 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2278, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3604), _u3606) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3604 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2279, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3604), _u3606) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3606 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2280, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3607), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2281, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3608) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2282, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3612), _u3614) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3612), _u3616)) | ( _u3612 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3614 = _u3616) )).
% 20.36/20.60 cnf(matrix-2283, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3613), _u3615) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3613), _u3617)) | ( _u3613 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2284, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3613), _u3615) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3613), _u3617)) | ( _u3615 != _u3617) )).
% 20.36/20.60 cnf(matrix-2285, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u3618), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2286, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3619) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2287, plain, ( c_Finite__Set_Ofun__left__comm__idem(_u3620, tc_fun(_u3620, tc_HOL_Obool), c_Set_Oinsert(_u3620)) )).
% 20.36/20.60 cnf(matrix-2288, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u3625, _u3627)), c_Sum__Type_OPlus(_u3625, _u3627, _u3629, _u3631))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3625), _u3629)) )).
% 20.36/20.60 cnf(matrix-2289, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u3625, _u3627)), c_Sum__Type_OPlus(_u3625, _u3627, _u3629, _u3631))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3627), _u3631)) )).
% 20.36/20.60 cnf(matrix-2290, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3626), _u3630)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3628), _u3632)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u3626, _u3628)), c_Sum__Type_OPlus(_u3626, _u3628, _u3630, _u3632))) )).
% 20.36/20.60 cnf(matrix-2291, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3633), _u3634)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3635), _u3636)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u3633, _u3635)), c_Sum__Type_OPlus(_u3633, _u3635, _u3634, _u3636))) )).
% 20.36/20.60 cnf(matrix-2292, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u3637, _u3638)), c_Sum__Type_OPlus(_u3637, _u3638, _u3639, _u3640))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3637), _u3639)) )).
% 20.36/20.60 cnf(matrix-2293, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u3642), _u3644)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u3641, _u3642)), c_Sum__Type_OPlus(_u3641, _u3642, _u3643, _u3644))) )).
% 20.36/20.60 cnf(matrix-2294, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3649), _u3651)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3653), _u3655)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u3649, _u3653)), c_Sum__Type_OPlus(_u3649, _u3653, _u3651, _u3655)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3649), _u3651)), hAPP(c_Finite__Set_Ocard(_u3653), _u3655))) )).
% 20.36/20.60 cnf(matrix-2295, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u3650, _u3654)), c_Sum__Type_OPlus(_u3650, _u3654, _u3652, _u3656)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3650), _u3652)) )).
% 20.36/20.60 cnf(matrix-2296, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u3650, _u3654)), c_Sum__Type_OPlus(_u3650, _u3654, _u3652, _u3656)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3654), _u3656)) )).
% 20.36/20.60 cnf(matrix-2297, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u3657) | c_Finite__Set_Ofun__left__comm__idem(_u3657, _u3657, c_Groups_Otimes__class_Otimes(_u3657)) )).
% 20.36/20.60 cnf(matrix-2298, plain, ( ~class_Lattices_Osemilattice__sup(_u3658) | c_Finite__Set_Ofun__left__comm__idem(_u3658, _u3658, c_Lattices_Osemilattice__sup__class_Osup(_u3658)) )).
% 20.36/20.60 cnf(matrix-2299, plain, ( ~class_Lattices_Osemilattice__inf(_u3659) | c_Finite__Set_Ofun__left__comm__idem(_u3659, _u3659, c_Lattices_Osemilattice__inf__class_Oinf(_u3659)) )).
% 20.36/20.60 cnf(matrix-2300, plain, ( ~class_Orderings_Olinorder(_u3660) | c_Finite__Set_Ofun__left__comm__idem(_u3660, _u3660, c_Orderings_Oord__class_Omin(_u3660)) )).
% 20.36/20.60 cnf(matrix-2301, plain, ( ~class_Groups_Olinordered__ab__group__add(_u3661) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3661), c_Groups_Ozero__class_Ozero(_u3661)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3661), _u3662), _u3662))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3661), c_Groups_Ozero__class_Ozero(_u3661)), _u3662)) )).
% 20.36/20.60 cnf(matrix-2302, plain, ( ~class_Groups_Olinordered__ab__group__add(_u3661) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3661), c_Groups_Ozero__class_Ozero(_u3661)), _u3662)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3661), c_Groups_Ozero__class_Ozero(_u3661)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3661), _u3662), _u3662))) )).
% 20.36/20.60 cnf(matrix-2303, plain, ( ~class_Groups_Olinordered__ab__group__add(_u3663) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3663), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3663), _u3664), _u3664)), c_Groups_Ozero__class_Ozero(_u3663))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3663), _u3664), c_Groups_Ozero__class_Ozero(_u3663))) )).
% 20.36/20.60 cnf(matrix-2304, plain, ( ~class_Groups_Olinordered__ab__group__add(_u3663) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3663), _u3664), c_Groups_Ozero__class_Ozero(_u3663))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3663), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3663), _u3664), _u3664)), c_Groups_Ozero__class_Ozero(_u3663))) )).
% 20.36/20.60 cnf(matrix-2305, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3665) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3665), c_Groups_Ozero__class_Ozero(_u3665)), _u3666)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3665), c_Groups_Ozero__class_Ozero(_u3665)), _u3667)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3665), c_Groups_Ozero__class_Ozero(_u3665)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3665), _u3666), _u3667))) )).
% 20.36/20.60 cnf(matrix-2306, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3668) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3668), c_Groups_Ozero__class_Ozero(_u3668)), _u3669)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3668), c_Groups_Ozero__class_Ozero(_u3668)), _u3670)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3668), _u3669), _u3670) != c_Groups_Ozero__class_Ozero(_u3668)) | ( _u3669 = c_Groups_Ozero__class_Ozero(_u3668)) )).
% 20.36/20.60 cnf(matrix-2307, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3668) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3668), c_Groups_Ozero__class_Ozero(_u3668)), _u3669)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3668), c_Groups_Ozero__class_Ozero(_u3668)), _u3670)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3668), _u3669), _u3670) != c_Groups_Ozero__class_Ozero(_u3668)) | ( _u3670 = c_Groups_Ozero__class_Ozero(_u3668)) )).
% 20.36/20.60 cnf(matrix-2308, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3668) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3668), c_Groups_Ozero__class_Ozero(_u3668)), _u3669)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3668), c_Groups_Ozero__class_Ozero(_u3668)), _u3670)) | ( _u3669 != c_Groups_Ozero__class_Ozero(_u3668)) | ( _u3670 != c_Groups_Ozero__class_Ozero(_u3668)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3668), _u3669), _u3670) = c_Groups_Ozero__class_Ozero(_u3668)) )).
% 20.36/20.60 cnf(matrix-2309, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3671) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3671), c_Groups_Ozero__class_Ozero(_u3671)), _u3672)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3671), _u3673), _u3674)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3671), _u3673), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3671), _u3672), _u3674))) )).
% 20.36/20.60 cnf(matrix-2310, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3675) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3675), c_Groups_Ozero__class_Ozero(_u3675)), _u3676)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3675), _u3677), _u3678)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3675), _u3677), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3675), _u3678), _u3676))) )).
% 20.36/20.60 cnf(matrix-2311, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3679) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3679), _u3680), c_Groups_Ozero__class_Ozero(_u3679))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3679), _u3681), c_Groups_Ozero__class_Ozero(_u3679))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3679), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3679), _u3680), _u3681)), c_Groups_Ozero__class_Ozero(_u3679))) )).
% 20.36/20.60 cnf(matrix-2312, plain, ( ~class_Rings_Olinordered__ring(_u3682) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3682), c_Groups_Ozero__class_Ozero(_u3682)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3682), _u3683), _u3683))) )).
% 20.36/20.60 cnf(matrix-2313, plain, ( ~class_Rings_Olinordered__ring__strict(_u3684) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3684), c_Groups_Ozero__class_Ozero(_u3684)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3684), _u3685), _u3686))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3684), c_Groups_Ozero__class_Ozero(_u3684)), _u3685)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3684), _u3685), c_Groups_Ozero__class_Ozero(_u3684))) )).
% 20.36/20.60 cnf(matrix-2314, plain, ( ~class_Rings_Olinordered__ring__strict(_u3684) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3684), c_Groups_Ozero__class_Ozero(_u3684)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3684), _u3685), _u3686))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3684), c_Groups_Ozero__class_Ozero(_u3684)), _u3685)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3684), _u3686), c_Groups_Ozero__class_Ozero(_u3684))) )).
% 20.36/20.60 cnf(matrix-2315, plain, ( ~class_Rings_Olinordered__ring__strict(_u3684) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3684), c_Groups_Ozero__class_Ozero(_u3684)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3684), _u3685), _u3686))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3684), c_Groups_Ozero__class_Ozero(_u3684)), _u3686)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3684), _u3685), c_Groups_Ozero__class_Ozero(_u3684))) )).
% 20.36/20.60 cnf(matrix-2316, plain, ( ~class_Rings_Olinordered__ring__strict(_u3684) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3684), c_Groups_Ozero__class_Ozero(_u3684)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3684), _u3685), _u3686))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3684), c_Groups_Ozero__class_Ozero(_u3684)), _u3686)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3684), _u3686), c_Groups_Ozero__class_Ozero(_u3684))) )).
% 20.36/20.60 cnf(matrix-2317, plain, ( ~class_Rings_Olinordered__ring__strict(_u3684) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3684), c_Groups_Ozero__class_Ozero(_u3684)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3684), _u3685), _u3686))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3684), c_Groups_Ozero__class_Ozero(_u3684)), _u3685)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3684), c_Groups_Ozero__class_Ozero(_u3684)), _u3686)) )).
% 20.36/20.60 cnf(matrix-2318, plain, ( ~class_Rings_Olinordered__ring__strict(_u3684) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3684), c_Groups_Ozero__class_Ozero(_u3684)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3684), _u3685), _u3686))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3684), _u3685), c_Groups_Ozero__class_Ozero(_u3684))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3684), _u3686), c_Groups_Ozero__class_Ozero(_u3684))) )).
% 20.36/20.60 cnf(matrix-2319, plain, ( ~class_Rings_Olinordered__ring__strict(_u3687) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3687), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3687), _u3688), _u3689)), c_Groups_Ozero__class_Ozero(_u3687))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3687), c_Groups_Ozero__class_Ozero(_u3687)), _u3688)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3687), _u3688), c_Groups_Ozero__class_Ozero(_u3687))) )).
% 20.36/20.60 cnf(matrix-2320, plain, ( ~class_Rings_Olinordered__ring__strict(_u3687) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3687), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3687), _u3688), _u3689)), c_Groups_Ozero__class_Ozero(_u3687))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3687), c_Groups_Ozero__class_Ozero(_u3687)), _u3688)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3687), c_Groups_Ozero__class_Ozero(_u3687)), _u3689)) )).
% 20.36/20.60 cnf(matrix-2321, plain, ( ~class_Rings_Olinordered__ring__strict(_u3687) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3687), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3687), _u3688), _u3689)), c_Groups_Ozero__class_Ozero(_u3687))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3687), _u3689), c_Groups_Ozero__class_Ozero(_u3687))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3687), _u3688), c_Groups_Ozero__class_Ozero(_u3687))) )).
% 20.36/20.60 cnf(matrix-2322, plain, ( ~class_Rings_Olinordered__ring__strict(_u3687) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3687), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3687), _u3688), _u3689)), c_Groups_Ozero__class_Ozero(_u3687))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3687), _u3689), c_Groups_Ozero__class_Ozero(_u3687))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3687), c_Groups_Ozero__class_Ozero(_u3687)), _u3689)) )).
% 20.36/20.60 cnf(matrix-2323, plain, ( ~class_Rings_Olinordered__ring__strict(_u3687) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3687), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3687), _u3688), _u3689)), c_Groups_Ozero__class_Ozero(_u3687))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3687), c_Groups_Ozero__class_Ozero(_u3687)), _u3688)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3687), _u3689), c_Groups_Ozero__class_Ozero(_u3687))) )).
% 20.36/20.60 cnf(matrix-2324, plain, ( ~class_Rings_Olinordered__ring__strict(_u3687) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3687), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3687), _u3688), _u3689)), c_Groups_Ozero__class_Ozero(_u3687))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3687), _u3688), c_Groups_Ozero__class_Ozero(_u3687))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3687), c_Groups_Ozero__class_Ozero(_u3687)), _u3689)) )).
% 20.36/20.60 cnf(matrix-2325, plain, ( ~class_Rings_Oordered__cancel__semiring(_u3690) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3690), c_Groups_Ozero__class_Ozero(_u3690)), _u3691)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3690), c_Groups_Ozero__class_Ozero(_u3690)), _u3692)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3690), c_Groups_Ozero__class_Ozero(_u3690)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3690), _u3691), _u3692))) )).
% 20.36/20.60 cnf(matrix-2326, plain, ( ~class_Rings_Oordered__cancel__semiring(_u3693) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3693), c_Groups_Ozero__class_Ozero(_u3693)), _u3694)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3693), _u3695), c_Groups_Ozero__class_Ozero(_u3693))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3693), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3693), _u3694), _u3695)), c_Groups_Ozero__class_Ozero(_u3693))) )).
% 20.36/20.60 cnf(matrix-2327, plain, ( ~class_Rings_Oordered__cancel__semiring(_u3696) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3696), c_Groups_Ozero__class_Ozero(_u3696)), _u3697)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3696), _u3698), c_Groups_Ozero__class_Ozero(_u3696))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3696), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3696), _u3698), _u3697)), c_Groups_Ozero__class_Ozero(_u3696))) )).
% 20.36/20.60 cnf(matrix-2328, plain, ( ~class_Rings_Oordered__cancel__semiring(_u3699) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3699), _u3700), c_Groups_Ozero__class_Ozero(_u3699))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3699), c_Groups_Ozero__class_Ozero(_u3699)), _u3701)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3699), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3699), _u3700), _u3701)), c_Groups_Ozero__class_Ozero(_u3699))) )).
% 20.36/20.60 cnf(matrix-2329, plain, ( ~class_Rings_Oordered__ring(_u3702) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3702), _u3703), c_Groups_Ozero__class_Ozero(_u3702))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3702), _u3704), c_Groups_Ozero__class_Ozero(_u3702))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3702), c_Groups_Ozero__class_Ozero(_u3702)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3702), _u3703), _u3704))) )).
% 20.36/20.60 cnf(matrix-2330, plain, ( ~class_Rings_Oordered__semiring(_u3705) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3705), _u3706), _u3707)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3705), c_Groups_Ozero__class_Ozero(_u3705)), _u3708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3705), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3705), _u3706), _u3708)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3705), _u3707), _u3708))) )).
% 20.36/20.60 cnf(matrix-2331, plain, ( ~class_Rings_Oordered__semiring(_u3709) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3709), _u3710), _u3711)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3709), c_Groups_Ozero__class_Ozero(_u3709)), _u3712)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3709), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3709), _u3712), _u3710)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3709), _u3712), _u3711))) )).
% 20.36/20.60 cnf(matrix-2332, plain, ( ~class_Rings_Oordered__comm__semiring(_u3713) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3713), _u3714), _u3715)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3713), c_Groups_Ozero__class_Ozero(_u3713)), _u3716)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3713), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3713), _u3716), _u3714)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3713), _u3716), _u3715))) )).
% 20.36/20.60 cnf(matrix-2333, plain, ( ~class_Rings_Oordered__ring(_u3717) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3717), _u3718), _u3719)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3717), _u3720), c_Groups_Ozero__class_Ozero(_u3717))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3717), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3717), _u3719), _u3720)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3717), _u3718), _u3720))) )).
% 20.36/20.60 cnf(matrix-2334, plain, ( ~class_Rings_Oordered__ring(_u3721) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3721), _u3722), _u3723)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3721), _u3724), c_Groups_Ozero__class_Ozero(_u3721))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3721), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3721), _u3724), _u3723)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3721), _u3724), _u3722))) )).
% 20.36/20.60 cnf(matrix-2335, plain, ( ~class_Rings_Oordered__semiring(_u3725) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3725), _u3726), _u3727)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3725), _u3728), _u3729)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3725), c_Groups_Ozero__class_Ozero(_u3725)), _u3726)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3725), c_Groups_Ozero__class_Ozero(_u3725)), _u3728)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3725), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3725), _u3726), _u3728)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3725), _u3727), _u3729))) )).
% 20.36/20.60 cnf(matrix-2336, plain, ( ~class_Rings_Oordered__semiring(_u3730) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3730), _u3731), _u3732)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3730), _u3733), _u3734)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3730), c_Groups_Ozero__class_Ozero(_u3730)), _u3732)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3730), c_Groups_Ozero__class_Ozero(_u3730)), _u3733)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3730), _u3731), _u3733)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3730), _u3732), _u3734))) )).
% 20.36/20.60 cnf(matrix-2337, plain, ( ~class_Rings_Oordered__ring(_u3735) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3735), c_Groups_Ozero__class_Ozero(_u3735)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3735), _u3736), _u3737))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3735), c_Groups_Ozero__class_Ozero(_u3735)), _u3736)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3735), c_Groups_Ozero__class_Ozero(_u3735)), _u3737)) )).
% 20.36/20.60 cnf(matrix-2338, plain, ( ~class_Rings_Oordered__ring(_u3735) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3735), c_Groups_Ozero__class_Ozero(_u3735)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3735), _u3736), _u3737))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3735), _u3736), c_Groups_Ozero__class_Ozero(_u3735))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3735), _u3737), c_Groups_Ozero__class_Ozero(_u3735))) )).
% 20.36/20.60 cnf(matrix-2339, plain, ( ~class_Rings_Oordered__cancel__semiring(_u3738) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3738), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3738), _u3739), _u3740)), c_Groups_Ozero__class_Ozero(_u3738))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3738), c_Groups_Ozero__class_Ozero(_u3738)), _u3739)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3738), _u3740), c_Groups_Ozero__class_Ozero(_u3738))) )).
% 20.36/20.60 cnf(matrix-2340, plain, ( ~class_Rings_Oordered__cancel__semiring(_u3738) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3738), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3738), _u3739), _u3740)), c_Groups_Ozero__class_Ozero(_u3738))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3738), _u3739), c_Groups_Ozero__class_Ozero(_u3738))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3738), c_Groups_Ozero__class_Ozero(_u3738)), _u3740)) )).
% 20.36/20.60 cnf(matrix-2341, plain, ( ~class_Rings_Olinordered__semidom(_u3741) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3741), c_Groups_Ozero__class_Ozero(_u3741)), _u3742)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3741), _u3743), _u3744)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3741), _u3743), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3741), _u3742), _u3744))) )).
% 20.36/20.60 cnf(matrix-2342, plain, ( ~class_Groups_Olinordered__ab__group__add(_u3745) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3745), c_Groups_Ozero__class_Ozero(_u3745)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3745), _u3746), _u3746))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3745), c_Groups_Ozero__class_Ozero(_u3745)), _u3746)) )).
% 20.36/20.60 cnf(matrix-2343, plain, ( ~class_Groups_Olinordered__ab__group__add(_u3745) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3745), c_Groups_Ozero__class_Ozero(_u3745)), _u3746)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3745), c_Groups_Ozero__class_Ozero(_u3745)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3745), _u3746), _u3746))) )).
% 20.36/20.60 cnf(matrix-2344, plain, ( ~class_Groups_Olinordered__ab__group__add(_u3747) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3747), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3747), _u3748), _u3748)), c_Groups_Ozero__class_Ozero(_u3747))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3747), _u3748), c_Groups_Ozero__class_Ozero(_u3747))) )).
% 20.36/20.60 cnf(matrix-2345, plain, ( ~class_Groups_Olinordered__ab__group__add(_u3747) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3747), _u3748), c_Groups_Ozero__class_Ozero(_u3747))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3747), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3747), _u3748), _u3748)), c_Groups_Ozero__class_Ozero(_u3747))) )).
% 20.36/20.60 cnf(matrix-2346, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3749) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3749), c_Groups_Ozero__class_Ozero(_u3749)), _u3750)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3749), c_Groups_Ozero__class_Ozero(_u3749)), _u3751)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3749), c_Groups_Ozero__class_Ozero(_u3749)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3749), _u3750), _u3751))) )).
% 20.36/20.60 cnf(matrix-2347, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3752) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3752), _u3753), c_Groups_Ozero__class_Ozero(_u3752))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3752), _u3754), c_Groups_Ozero__class_Ozero(_u3752))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3752), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3752), _u3753), _u3754)), c_Groups_Ozero__class_Ozero(_u3752))) )).
% 20.36/20.60 cnf(matrix-2348, plain, ( ~class_Rings_Olinordered__ring__strict(_u3755) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3755), _u3756), _u3757)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3755), _u3758), c_Groups_Ozero__class_Ozero(_u3755))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3755), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3755), _u3758), _u3757)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3755), _u3758), _u3756))) )).
% 20.36/20.60 cnf(matrix-2349, plain, ( ~class_Rings_Olinordered__ring__strict(_u3759) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3759), _u3760), _u3761)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3759), _u3762), c_Groups_Ozero__class_Ozero(_u3759))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3759), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3759), _u3761), _u3762)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3759), _u3760), _u3762))) )).
% 20.36/20.60 cnf(matrix-2350, plain, ( ~class_Rings_Olinordered__comm__semiring__strict(_u3763) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3763), _u3764), _u3765)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3763), c_Groups_Ozero__class_Ozero(_u3763)), _u3766)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3763), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3763), _u3766), _u3764)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3763), _u3766), _u3765))) )).
% 20.36/20.60 cnf(matrix-2351, plain, ( ~class_Rings_Olinordered__semiring__strict(_u3767) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3767), _u3768), _u3769)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3767), c_Groups_Ozero__class_Ozero(_u3767)), _u3770)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3767), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3767), _u3770), _u3768)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3767), _u3770), _u3769))) )).
% 20.36/20.60 cnf(matrix-2352, plain, ( ~class_Rings_Olinordered__semiring__strict(_u3771) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3771), _u3772), _u3773)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3771), c_Groups_Ozero__class_Ozero(_u3771)), _u3774)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3771), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3771), _u3772), _u3774)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3771), _u3773), _u3774))) )).
% 20.36/20.60 cnf(matrix-2353, plain, ( ~class_Rings_Olinordered__ring__strict(_u3775) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3775), _u3776), c_Groups_Ozero__class_Ozero(_u3775))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3775), _u3777), c_Groups_Ozero__class_Ozero(_u3775))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3775), c_Groups_Ozero__class_Ozero(_u3775)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3775), _u3776), _u3777))) )).
% 20.36/20.60 cnf(matrix-2354, plain, ( ~class_Rings_Olinordered__semiring__strict(_u3778) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3778), _u3779), c_Groups_Ozero__class_Ozero(_u3778))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3778), c_Groups_Ozero__class_Ozero(_u3778)), _u3780)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3778), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3778), _u3779), _u3780)), c_Groups_Ozero__class_Ozero(_u3778))) )).
% 20.36/20.60 cnf(matrix-2355, plain, ( ~class_Rings_Olinordered__ring__strict(_u3781) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3781), _u3782), c_Groups_Ozero__class_Ozero(_u3781))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3781), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3781), _u3782), _u3783)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3781), _u3782), _u3784))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3781), _u3784), _u3783)) )).
% 20.36/20.60 cnf(matrix-2356, plain, ( ~class_Rings_Olinordered__ring__strict(_u3781) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3781), _u3782), c_Groups_Ozero__class_Ozero(_u3781))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3781), _u3784), _u3783)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3781), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3781), _u3782), _u3783)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3781), _u3782), _u3784))) )).
% 20.36/20.60 cnf(matrix-2357, plain, ( ~class_Rings_Olinordered__semiring__strict(_u3785) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3785), c_Groups_Ozero__class_Ozero(_u3785)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3785), _u3786), _u3787))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3785), c_Groups_Ozero__class_Ozero(_u3785)), _u3787)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3785), c_Groups_Ozero__class_Ozero(_u3785)), _u3786)) )).
% 20.36/20.60 cnf(matrix-2358, plain, ( ~class_Rings_Olinordered__semiring__strict(_u3788) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3788), c_Groups_Ozero__class_Ozero(_u3788)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3788), _u3789), _u3790))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3788), c_Groups_Ozero__class_Ozero(_u3788)), _u3789)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3788), c_Groups_Ozero__class_Ozero(_u3788)), _u3790)) )).
% 20.36/20.60 cnf(matrix-2359, plain, ( ~class_Rings_Olinordered__semiring__strict(_u3791) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3791), c_Groups_Ozero__class_Ozero(_u3791)), _u3792)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3791), _u3793), c_Groups_Ozero__class_Ozero(_u3791))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3791), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3791), _u3793), _u3792)), c_Groups_Ozero__class_Ozero(_u3791))) )).
% 20.36/20.60 cnf(matrix-2360, plain, ( ~class_Rings_Olinordered__semiring__strict(_u3794) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3794), c_Groups_Ozero__class_Ozero(_u3794)), _u3795)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3794), _u3796), c_Groups_Ozero__class_Ozero(_u3794))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3794), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3794), _u3795), _u3796)), c_Groups_Ozero__class_Ozero(_u3794))) )).
% 20.36/20.60 cnf(matrix-2361, plain, ( ~class_Rings_Olinordered__semiring__strict(_u3797) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3797), c_Groups_Ozero__class_Ozero(_u3797)), _u3798)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3797), c_Groups_Ozero__class_Ozero(_u3797)), _u3799)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3797), c_Groups_Ozero__class_Ozero(_u3797)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3797), _u3798), _u3799))) )).
% 20.36/20.60 cnf(matrix-2362, plain, ( ~class_Rings_Olinordered__ring__strict(_u3800) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3800), c_Groups_Ozero__class_Ozero(_u3800)), _u3801)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3800), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3800), _u3801), _u3802)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3800), _u3801), _u3803))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3800), _u3802), _u3803)) )).
% 20.36/20.60 cnf(matrix-2363, plain, ( ~class_Rings_Olinordered__ring__strict(_u3800) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3800), c_Groups_Ozero__class_Ozero(_u3800)), _u3801)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3800), _u3802), _u3803)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3800), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3800), _u3801), _u3802)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3800), _u3801), _u3803))) )).
% 20.36/20.60 cnf(matrix-2364, plain, ( ~class_Rings_Olinordered__ring__strict(_u3804) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3804), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3804), _u3805), _u3806)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3804), _u3805), _u3807))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3804), c_Groups_Ozero__class_Ozero(_u3804)), _u3805)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3804), _u3805), c_Groups_Ozero__class_Ozero(_u3804))) )).
% 20.36/20.60 cnf(matrix-2365, plain, ( ~class_Rings_Olinordered__ring__strict(_u3804) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3804), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3804), _u3805), _u3806)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3804), _u3805), _u3807))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3804), c_Groups_Ozero__class_Ozero(_u3804)), _u3805)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3804), _u3807), _u3806)) )).
% 20.36/20.60 cnf(matrix-2366, plain, ( ~class_Rings_Olinordered__ring__strict(_u3804) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3804), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3804), _u3805), _u3806)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3804), _u3805), _u3807))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3804), _u3806), _u3807)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3804), _u3805), c_Groups_Ozero__class_Ozero(_u3804))) )).
% 20.36/20.60 cnf(matrix-2367, plain, ( ~class_Rings_Olinordered__ring__strict(_u3804) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3804), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3804), _u3805), _u3806)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3804), _u3805), _u3807))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3804), _u3806), _u3807)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3804), _u3807), _u3806)) )).
% 20.36/20.60 cnf(matrix-2368, plain, ( ~class_Rings_Olinordered__ring__strict(_u3804) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3804), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3804), _u3805), _u3806)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3804), _u3805), _u3807))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3804), c_Groups_Ozero__class_Ozero(_u3804)), _u3805)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3804), _u3806), _u3807)) )).
% 20.36/20.60 cnf(matrix-2369, plain, ( ~class_Rings_Olinordered__ring__strict(_u3804) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3804), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3804), _u3805), _u3806)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3804), _u3805), _u3807))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3804), _u3805), c_Groups_Ozero__class_Ozero(_u3804))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3804), _u3807), _u3806)) )).
% 20.36/20.60 cnf(matrix-2370, plain, ( ~class_Rings_Olinordered__ring__strict(_u3808) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3808), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3808), _u3809), _u3810)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3808), _u3811), _u3810))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3808), c_Groups_Ozero__class_Ozero(_u3808)), _u3810)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3808), _u3810), c_Groups_Ozero__class_Ozero(_u3808))) )).
% 20.36/20.60 cnf(matrix-2371, plain, ( ~class_Rings_Olinordered__ring__strict(_u3808) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3808), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3808), _u3809), _u3810)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3808), _u3811), _u3810))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3808), c_Groups_Ozero__class_Ozero(_u3808)), _u3810)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3808), _u3811), _u3809)) )).
% 20.36/20.60 cnf(matrix-2372, plain, ( ~class_Rings_Olinordered__ring__strict(_u3808) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3808), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3808), _u3809), _u3810)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3808), _u3811), _u3810))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3808), _u3809), _u3811)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3808), _u3810), c_Groups_Ozero__class_Ozero(_u3808))) )).
% 20.36/20.60 cnf(matrix-2373, plain, ( ~class_Rings_Olinordered__ring__strict(_u3808) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3808), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3808), _u3809), _u3810)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3808), _u3811), _u3810))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3808), _u3809), _u3811)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3808), _u3811), _u3809)) )).
% 20.36/20.60 cnf(matrix-2374, plain, ( ~class_Rings_Olinordered__ring__strict(_u3808) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3808), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3808), _u3809), _u3810)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3808), _u3811), _u3810))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3808), c_Groups_Ozero__class_Ozero(_u3808)), _u3810)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3808), _u3809), _u3811)) )).
% 20.36/20.60 cnf(matrix-2375, plain, ( ~class_Rings_Olinordered__ring__strict(_u3808) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3808), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3808), _u3809), _u3810)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3808), _u3811), _u3810))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3808), _u3810), c_Groups_Ozero__class_Ozero(_u3808))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3808), _u3811), _u3809)) )).
% 20.36/20.60 cnf(matrix-2376, plain, ( ~class_Rings_Olinordered__ring(_u3812) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3812), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3812), _u3813), _u3813)), c_Groups_Ozero__class_Ozero(_u3812))) )).
% 20.36/20.60 cnf(matrix-2377, plain, ( ~class_Groups_Oordered__ab__group__add(_u3814) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3814), _u3815), _u3816)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3814), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3814), _u3815), _u3816)), c_Groups_Ozero__class_Ozero(_u3814))) )).
% 20.36/20.60 cnf(matrix-2378, plain, ( ~class_Groups_Oordered__ab__group__add(_u3814) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3814), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3814), _u3815), _u3816)), c_Groups_Ozero__class_Ozero(_u3814))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3814), _u3815), _u3816)) )).
% 20.36/20.60 cnf(matrix-2379, plain, ( ~class_Groups_Oordered__ab__group__add(_u3817) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3817), _u3818), _u3819)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3817), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3817), _u3818), _u3819)), c_Groups_Ozero__class_Ozero(_u3817))) )).
% 20.36/20.60 cnf(matrix-2380, plain, ( ~class_Groups_Oordered__ab__group__add(_u3817) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3817), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3817), _u3818), _u3819)), c_Groups_Ozero__class_Ozero(_u3817))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3817), _u3818), _u3819)) )).
% 20.36/20.60 cnf(matrix-2381, plain, ( ~class_Rings_Olinordered__ring__strict(_u3820) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3820), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3820), _u3821), _u3821)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3820), _u3822), _u3822)) != c_Groups_Ozero__class_Ozero(_u3820)) | ( _u3821 = c_Groups_Ozero__class_Ozero(_u3820)) )).
% 20.36/20.60 cnf(matrix-2382, plain, ( ~class_Rings_Olinordered__ring__strict(_u3820) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3820), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3820), _u3821), _u3821)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3820), _u3822), _u3822)) != c_Groups_Ozero__class_Ozero(_u3820)) | ( _u3822 = c_Groups_Ozero__class_Ozero(_u3820)) )).
% 20.36/20.60 cnf(matrix-2383, plain, ( ~class_Rings_Olinordered__ring__strict(_u3820) | ( _u3821 != c_Groups_Ozero__class_Ozero(_u3820)) | ( _u3822 != c_Groups_Ozero__class_Ozero(_u3820)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3820), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3820), _u3821), _u3821)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3820), _u3822), _u3822)) = c_Groups_Ozero__class_Ozero(_u3820)) )).
% 20.36/20.60 cnf(matrix-2384, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u3823) | ( _u3824 = c_Groups_Ozero__class_Ozero(_u3823)) | ( _u3825 != _u3826) | ( _u3827 = _u3828) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3823), _u3825), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3823), _u3824), _u3827)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3823), _u3826), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3823), _u3824), _u3828))) )).
% 20.36/20.60 cnf(matrix-2385, plain, ( ~class_Rings_Olinordered__semidom(_u3829) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3829), c_Groups_Oone__class_Oone(_u3829)), c_Groups_Ozero__class_Ozero(_u3829))) )).
% 20.36/20.60 cnf(matrix-2386, plain, ( ~class_Rings_Olinordered__semidom(_u3830) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3830), c_Groups_Ozero__class_Ozero(_u3830)), c_Groups_Oone__class_Oone(_u3830))) )).
% 20.36/20.60 cnf(matrix-2387, plain, ( ~class_Rings_Olinordered__semidom(_u3831) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3831), c_Groups_Ozero__class_Ozero(_u3831)), c_Groups_Oone__class_Oone(_u3831))) )).
% 20.36/20.60 cnf(matrix-2388, plain, ( ~class_Rings_Olinordered__semidom(_u3832) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3832), c_Groups_Oone__class_Oone(_u3832)), c_Groups_Ozero__class_Ozero(_u3832))) )).
% 20.36/20.60 cnf(matrix-2389, plain, ( ~class_Groups_Ocomm__monoid__add(_u3833) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3834, _u3833), _u3835), c_Orderings_Obot__class_Obot(tc_fun(_u3834, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u3833)) )).
% 20.36/20.60 cnf(matrix-2390, plain, ( ~class_Groups_Ocomm__monoid__add(_u3836) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3837, _u3836), _u3838), c_Orderings_Obot__class_Obot(tc_fun(_u3837, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u3836)) )).
% 20.36/20.60 cnf(matrix-2391, plain, ( ~class_Groups_Ocomm__monoid__add(_u3839) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3840), _u3841)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3840, _u3839), _u3842), _u3841) = c_Groups_Ozero__class_Ozero(_u3839)) )).
% 20.36/20.60 cnf(matrix-2392, plain, ( ~class_Groups_Ocomm__monoid__add(_u3843) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3844), _u3845)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3844, _u3843), _u3846), _u3845) = c_Groups_Ozero__class_Ozero(_u3843)) )).
% 20.36/20.60 cnf(matrix-2393, plain, ( ~class_Rings_Ocomm__semiring__1(_u3849) | ~class_Rings_Ono__zero__divisors(_u3849) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3850), _u3851)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3850, _u3849), _u3852), _u3851) != c_Groups_Ozero__class_Ozero(_u3849)) | hBOOL(hAPP(hAPP(c_member(_u3850), skolem74(_u3852, _u3851, _u3850, _u3849)), _u3851)) )).
% 20.36/20.60 cnf(matrix-2394, plain, ( ~class_Rings_Ocomm__semiring__1(_u3849) | ~class_Rings_Ono__zero__divisors(_u3849) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3850), _u3851)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3850, _u3849), _u3852), _u3851) != c_Groups_Ozero__class_Ozero(_u3849)) | ( hAPP(_u3852, skolem74(_u3852, _u3851, _u3850, _u3849)) = c_Groups_Ozero__class_Ozero(_u3849)) )).
% 20.36/20.60 cnf(matrix-2395, plain, ( ~class_Rings_Ocomm__semiring__1(_u3849) | ~class_Rings_Ono__zero__divisors(_u3849) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3850), _u3851)) | ~hBOOL(hAPP(hAPP(c_member(_u3850), _u3848), _u3851)) | ( hAPP(_u3852, _u3848) != c_Groups_Ozero__class_Ozero(_u3849)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3850, _u3849), _u3852), _u3851) = c_Groups_Ozero__class_Ozero(_u3849)) )).
% 20.36/20.60 cnf(matrix-2396, plain, ( ~class_Rings_Ocomm__semiring__1(_u3854) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3855), _u3856)) | ~hBOOL(hAPP(hAPP(c_member(_u3855), _u3853), _u3856)) | ( hAPP(_u3857, _u3853) != c_Groups_Ozero__class_Ozero(_u3854)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3855, _u3854), _u3857), _u3856) = c_Groups_Ozero__class_Ozero(_u3854)) )).
% 20.36/20.60 cnf(matrix-2397, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3862), hAPP(c_Nat_OSuc, _u3864))) | ( _u3862 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3862 = hAPP(c_Nat_OSuc, skolem75(_u3864, _u3862))) )).
% 20.36/20.60 cnf(matrix-2398, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3862), hAPP(c_Nat_OSuc, _u3864))) | ( _u3862 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem75(_u3864, _u3862)), _u3864)) )).
% 20.36/20.60 cnf(matrix-2399, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3863), hAPP(c_Nat_OSuc, _u3865))) | ( _u3863 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2400, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3863), hAPP(c_Nat_OSuc, _u3865))) | ( _u3863 != hAPP(c_Nat_OSuc, _u3859)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3859), _u3865)) )).
% 20.36/20.60 cnf(matrix-2401, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3867), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) | ( _u3867 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2402, plain, ( ( _u3868 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3868), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 20.36/20.60 cnf(matrix-2403, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3872)) | ( _u3872 = hAPP(c_Nat_OSuc, skolem76(_u3872))) )).
% 20.36/20.60 cnf(matrix-2404, plain, ( ( _u3873 != hAPP(c_Nat_OSuc, _u3870)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3873)) )).
% 20.36/20.60 cnf(matrix-2405, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3876), _u3878)) | ( _u3876 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3876 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2406, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3876), _u3878)) | ( _u3876 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3878 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.60 cnf(matrix-2407, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3876), _u3878)) | ( _u3878 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3876 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2408, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3876), _u3878)) | ( _u3878 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3878 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.60 cnf(matrix-2409, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3877), _u3879)) | ( _u3877 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3879 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2410, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3877), _u3879)) | ( _u3877 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3879 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.60 cnf(matrix-2411, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3882), _u3884) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3882 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3882 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2412, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3882), _u3884) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3882 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3884 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.60 cnf(matrix-2413, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3882), _u3884) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3884 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3882 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2414, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3882), _u3884) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3884 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3884 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.60 cnf(matrix-2415, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3883), _u3885) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3883 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3885 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2416, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3883), _u3885) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3883 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3885 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.60 cnf(matrix-2417, 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), _u3888), _u3890))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3888)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3890)) )).
% 20.36/20.60 cnf(matrix-2418, 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), _u3889), _u3891))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3889)) )).
% 20.36/20.60 cnf(matrix-2419, 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), _u3889), _u3891))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3891)) )).
% 20.36/20.60 cnf(matrix-2420, plain, ( ( hAPP(c_Finite__Set_Ocard(_u3892), c_Orderings_Obot__class_Obot(tc_fun(_u3892, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2421, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u3893), _u3894)) | ( hAPP(c_Finite__Set_Ocard(_u3893), _u3894) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2422, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3897), _u3899) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3897 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.60 cnf(matrix-2423, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3897), _u3899) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3899 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.60 cnf(matrix-2424, plain, ( ( _u3898 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3900 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3898), _u3900) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.60 cnf(matrix-2425, 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), _u3903), _u3905))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3905), _u3903)) )).
% 20.36/20.60 cnf(matrix-2426, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3906), _u3904)) | 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), _u3904), _u3906))) )).
% 20.36/20.60 cnf(matrix-2427, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3907)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3908)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3908), _u3907)), _u3908)) )).
% 20.36/20.60 cnf(matrix-2428, 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), _u3911), _u3913))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3911)) )).
% 20.36/20.60 cnf(matrix-2429, 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), _u3911), _u3913))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3913)) )).
% 20.36/20.60 cnf(matrix-2430, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3912)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3914)) | 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), _u3912), _u3914))) )).
% 20.36/20.60 cnf(matrix-2431, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3918), _u3920)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3918), _u3922))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3918)) )).
% 20.36/20.60 cnf(matrix-2432, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3918), _u3920)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3918), _u3922))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3920), _u3922)) )).
% 20.36/20.60 cnf(matrix-2433, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3919)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3921), _u3923)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3919), _u3921)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3919), _u3923))) )).
% 20.36/20.60 cnf(matrix-2434, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3927), _u3929)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3931), _u3929))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3929)) )).
% 20.36/20.60 cnf(matrix-2435, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3927), _u3929)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3931), _u3929))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3927), _u3931)) )).
% 20.36/20.60 cnf(matrix-2436, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3930)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3928), _u3932)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3928), _u3930)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3932), _u3930))) )).
% 20.36/20.60 cnf(matrix-2437, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3933), _u3934)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3935)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3933), _u3935)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3934), _u3935))) )).
% 20.36/20.60 cnf(matrix-2438, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3936), _u3937)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3938)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3938), _u3936)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3938), _u3937))) )).
% 20.36/20.60 cnf(matrix-2439, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3939)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3939), _u3940)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3939), _u3941))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3940), _u3941)) )).
% 20.36/20.60 cnf(matrix-2440, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3939)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3940), _u3941)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3939), _u3940)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3939), _u3941))) )).
% 20.36/20.60 cnf(matrix-2441, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3942)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3942), _u3943) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3942), _u3944)) | ( _u3943 = _u3944) )).
% 20.36/20.60 cnf(matrix-2442, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3942)) | ( _u3943 != _u3944) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3942), _u3943) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3942), _u3944)) )).
% 20.36/20.60 cnf(matrix-2443, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3945), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3945), _u3946)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2444, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3947), _u3948)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3947), _u3948) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2445, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3951), _u3953) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3951), _u3953)) )).
% 20.36/20.60 cnf(matrix-2446, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3952), _u3954)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3952), _u3954) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2447, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.60 cnf(matrix-2448, plain, ( ( _u3955 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3955), _u3956)) | ( _u3956 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u3955 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2449, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3959), _u3960)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3959, tc_Nat_Onat), _u3961), _u3960) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u3959), _u3957), _u3960)) | ( hAPP(_u3961, _u3957) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2450, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3959), _u3960)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3959, tc_Nat_Onat), _u3961), _u3960) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u3959), skolem77(_u3961, _u3960, _u3959)), _u3960)) )).
% 20.36/20.60 cnf(matrix-2451, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3959), _u3960)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3959, tc_Nat_Onat), _u3961), _u3960) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(_u3961, skolem77(_u3961, _u3960, _u3959)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2452, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3962) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3962), _u3963), c_Groups_Ozero__class_Ozero(_u3962))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3962), _u3964), c_Groups_Ozero__class_Ozero(_u3962))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3962), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3962), _u3963), _u3964)), c_Groups_Ozero__class_Ozero(_u3962))) )).
% 20.36/20.60 cnf(matrix-2453, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3965) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3965), _u3966), c_Groups_Ozero__class_Ozero(_u3965))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3965), _u3967), c_Groups_Ozero__class_Ozero(_u3965))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3965), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3965), _u3966), _u3967)), c_Groups_Ozero__class_Ozero(_u3965))) )).
% 20.36/20.60 cnf(matrix-2454, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3968) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3968), c_Groups_Ozero__class_Ozero(_u3968)), _u3969)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3968), _u3970), _u3971)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3968), _u3970), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3968), _u3969), _u3971))) )).
% 20.36/20.60 cnf(matrix-2455, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3972) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3972), c_Groups_Ozero__class_Ozero(_u3972)), _u3973)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3972), _u3974), _u3975)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3972), _u3974), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3972), _u3973), _u3975))) )).
% 20.36/20.60 cnf(matrix-2456, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3976) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3976), c_Groups_Ozero__class_Ozero(_u3976)), _u3977)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3976), c_Groups_Ozero__class_Ozero(_u3976)), _u3978)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3976), c_Groups_Ozero__class_Ozero(_u3976)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3976), _u3977), _u3978))) )).
% 20.36/20.60 cnf(matrix-2457, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3979) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3979), c_Groups_Ozero__class_Ozero(_u3979)), _u3980)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3979), c_Groups_Ozero__class_Ozero(_u3979)), _u3981)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3979), c_Groups_Ozero__class_Ozero(_u3979)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3979), _u3980), _u3981))) )).
% 20.36/20.60 cnf(matrix-2458, plain, ( ~class_Rings_Olinordered__ring__strict(_u3982) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3982), c_Groups_Ozero__class_Ozero(_u3982)), _u3983)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3982), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3982), _u3983), _u3984)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3982), _u3983), _u3985))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3982), _u3984), _u3985)) )).
% 20.36/20.60 cnf(matrix-2459, plain, ( ~class_Rings_Olinordered__ring__strict(_u3982) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3982), c_Groups_Ozero__class_Ozero(_u3982)), _u3983)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3982), _u3984), _u3985)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3982), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3982), _u3983), _u3984)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3982), _u3983), _u3985))) )).
% 20.36/20.60 cnf(matrix-2460, plain, ( ~class_Rings_Olinordered__ring__strict(_u3986) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3986), _u3987), c_Groups_Ozero__class_Ozero(_u3986))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3986), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3986), _u3987), _u3988)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3986), _u3987), _u3989))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3986), _u3989), _u3988)) )).
% 20.36/20.60 cnf(matrix-2461, plain, ( ~class_Rings_Olinordered__ring__strict(_u3986) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3986), _u3987), c_Groups_Ozero__class_Ozero(_u3986))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3986), _u3989), _u3988)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3986), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3986), _u3987), _u3988)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3986), _u3987), _u3989))) )).
% 20.36/20.60 cnf(matrix-2462, plain, ( ~class_Rings_Olinordered__semiring__strict(_u3990) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3990), _u3991), _u3992)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3990), _u3993), _u3994)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3990), c_Groups_Ozero__class_Ozero(_u3990)), _u3992)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3990), c_Groups_Ozero__class_Ozero(_u3990)), _u3993)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3990), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3990), _u3991), _u3993)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3990), _u3992), _u3994))) )).
% 20.36/20.60 cnf(matrix-2463, plain, ( ~class_Rings_Olinordered__semiring__strict(_u3995) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3995), _u3996), _u3997)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3995), _u3998), _u3999)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3995), c_Groups_Ozero__class_Ozero(_u3995)), _u3996)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3995), c_Groups_Ozero__class_Ozero(_u3995)), _u3998)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3995), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3995), _u3996), _u3998)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3995), _u3997), _u3999))) )).
% 20.36/20.60 cnf(matrix-2464, plain, ( ~class_Rings_Olinordered__semiring__strict(_u4000) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4000), _u4001), _u4002)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4000), _u4003), _u4004)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4000), c_Groups_Ozero__class_Ozero(_u4000)), _u4001)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4000), c_Groups_Ozero__class_Ozero(_u4000)), _u4003)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4000), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4000), _u4001), _u4003)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4000), _u4002), _u4004))) )).
% 20.36/20.60 cnf(matrix-2465, plain, ( ~class_Rings_Olinordered__semiring__strict(_u4005) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4005), _u4006), _u4007)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4005), _u4008), _u4009)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4005), c_Groups_Ozero__class_Ozero(_u4005)), _u4006)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4005), c_Groups_Ozero__class_Ozero(_u4005)), _u4008)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4005), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4005), _u4006), _u4008)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4005), _u4007), _u4009))) )).
% 20.36/20.60 cnf(matrix-2466, plain, ( ~class_Rings_Olinordered__semiring(_u4010) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4010), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4010), _u4011), _u4012)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4010), _u4013), _u4012))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4010), c_Groups_Ozero__class_Ozero(_u4010)), _u4012)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4010), _u4011), _u4013)) )).
% 20.36/20.60 cnf(matrix-2467, plain, ( ~class_Rings_Olinordered__semiring__strict(_u4014) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4014), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4014), _u4015), _u4016)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4014), _u4017), _u4016))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4014), c_Groups_Ozero__class_Ozero(_u4014)), _u4016)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4014), _u4015), _u4017)) )).
% 20.36/20.60 cnf(matrix-2468, plain, ( ~class_Rings_Olinordered__semiring(_u4018) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4018), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4018), _u4019), _u4020)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4018), _u4019), _u4021))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4018), c_Groups_Ozero__class_Ozero(_u4018)), _u4019)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4018), _u4020), _u4021)) )).
% 20.36/20.60 cnf(matrix-2469, plain, ( ~class_Rings_Olinordered__semiring__strict(_u4022) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4022), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4022), _u4023), _u4024)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4022), _u4023), _u4025))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4022), c_Groups_Ozero__class_Ozero(_u4022)), _u4023)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4022), _u4024), _u4025)) )).
% 20.36/20.60 cnf(matrix-2470, plain, ( ~class_Rings_Olinordered__semiring__strict(_u4026) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4026), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4026), _u4027), _u4028)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4026), _u4029), _u4028))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4026), c_Groups_Ozero__class_Ozero(_u4026)), _u4028)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4026), _u4027), _u4029)) )).
% 20.36/20.60 cnf(matrix-2471, plain, ( ~class_Rings_Olinordered__semiring__strict(_u4030) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4030), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4030), _u4031), _u4032)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4030), _u4031), _u4033))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4030), c_Groups_Ozero__class_Ozero(_u4030)), _u4031)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4030), _u4032), _u4033)) )).
% 20.36/20.60 cnf(matrix-2472, plain, ( ~class_Rings_Olinordered__ring(_u4034) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4034), c_Groups_Ozero__class_Ozero(_u4034)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4034), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4034), _u4035), _u4035)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4034), _u4036), _u4036)))) )).
% 20.36/20.60 cnf(matrix-2473, plain, ( ~class_Rings_Olinordered__ring__strict(_u4037) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4037), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4037), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4037), _u4038), _u4038)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4037), _u4039), _u4039))), c_Groups_Ozero__class_Ozero(_u4037))) | ( _u4038 = c_Groups_Ozero__class_Ozero(_u4037)) )).
% 20.36/20.60 cnf(matrix-2474, plain, ( ~class_Rings_Olinordered__ring__strict(_u4037) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4037), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4037), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4037), _u4038), _u4038)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4037), _u4039), _u4039))), c_Groups_Ozero__class_Ozero(_u4037))) | ( _u4039 = c_Groups_Ozero__class_Ozero(_u4037)) )).
% 20.36/20.60 cnf(matrix-2475, plain, ( ~class_Rings_Olinordered__ring__strict(_u4037) | ( _u4038 != c_Groups_Ozero__class_Ozero(_u4037)) | ( _u4039 != c_Groups_Ozero__class_Ozero(_u4037)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4037), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4037), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4037), _u4038), _u4038)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4037), _u4039), _u4039))), c_Groups_Ozero__class_Ozero(_u4037))) )).
% 20.36/20.60 cnf(matrix-2476, plain, ( ~class_Rings_Olinordered__ring__strict(_u4040) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4040), c_Groups_Ozero__class_Ozero(_u4040)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4040), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4040), _u4041), _u4041)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4040), _u4042), _u4042)))) | ( _u4041 != c_Groups_Ozero__class_Ozero(_u4040)) | ( _u4042 != c_Groups_Ozero__class_Ozero(_u4040)) )).
% 20.36/20.60 cnf(matrix-2477, plain, ( ~class_Rings_Olinordered__ring__strict(_u4040) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4040), c_Groups_Ozero__class_Ozero(_u4040)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4040), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4040), _u4041), _u4041)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4040), _u4042), _u4042)))) | ( _u4041 = c_Groups_Ozero__class_Ozero(_u4040)) )).
% 20.36/20.60 cnf(matrix-2478, plain, ( ~class_Rings_Olinordered__ring__strict(_u4040) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4040), c_Groups_Ozero__class_Ozero(_u4040)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4040), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4040), _u4041), _u4041)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4040), _u4042), _u4042)))) | ( _u4042 = c_Groups_Ozero__class_Ozero(_u4040)) )).
% 20.36/20.60 cnf(matrix-2479, plain, ( ~class_Rings_Olinordered__ring(_u4043) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4043), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4043), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4043), _u4044), _u4044)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4043), _u4045), _u4045))), c_Groups_Ozero__class_Ozero(_u4043))) )).
% 20.36/20.60 cnf(matrix-2480, plain, ( ~class_Rings_Olinordered__idom(_u4046) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4046), c_Groups_Ozero__class_Ozero(_u4046)), _u4047)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4046), c_Groups_Ozero__class_Ozero(_u4046)), _u4048)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4046), _u4048), c_Groups_Oone__class_Oone(_u4046))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4046), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4046), _u4047), _u4048)), _u4047)) )).
% 20.36/20.60 cnf(matrix-2481, plain, ( ~class_Rings_Olinordered__idom(_u4049) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4049), c_Groups_Ozero__class_Ozero(_u4049)), _u4050)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4049), c_Groups_Ozero__class_Ozero(_u4049)), _u4051)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4049), _u4051), c_Groups_Oone__class_Oone(_u4049))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4049), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4049), _u4051), _u4050)), _u4050)) )).
% 20.36/20.60 cnf(matrix-2482, plain, ( ~class_Rings_Olinordered__semidom(_u4052) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), c_Groups_Ozero__class_Ozero(_u4052)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4052), c_Groups_Oone__class_Oone(_u4052)), c_Groups_Oone__class_Oone(_u4052)))) )).
% 20.36/20.60 cnf(matrix-2483, plain, ( ( hAPP(c_Finite__Set_Ocard(_u4055), _u4057) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4057 = c_Orderings_Obot__class_Obot(tc_fun(_u4055, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4055), _u4057)) )).
% 20.36/20.60 cnf(matrix-2484, plain, ( ( hAPP(c_Finite__Set_Ocard(_u4056), _u4058) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4058 != c_Orderings_Obot__class_Obot(tc_fun(_u4056, tc_HOL_Obool))) )).
% 20.36/20.60 cnf(matrix-2485, plain, ( ( hAPP(c_Finite__Set_Ocard(_u4056), _u4058) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4056), _u4058)) )).
% 20.36/20.60 cnf(matrix-2486, 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(_u4059), _u4060))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4059), _u4060)) )).
% 20.36/20.60 cnf(matrix-2487, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4061)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4061), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = _u4061) )).
% 20.36/20.60 cnf(matrix-2488, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4062)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4062), hAPP(c_Nat_OSuc, _u4063))), _u4062)) )).
% 20.36/20.60 cnf(matrix-2489, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4064)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4065)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4064), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4065), _u4064))) )).
% 20.36/20.60 cnf(matrix-2490, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4066)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4067)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4066), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4066), _u4067))) )).
% 20.36/20.60 cnf(matrix-2491, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4068)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4069)) | 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), _u4069), _u4068))) )).
% 20.36/20.60 cnf(matrix-2492, plain, ( ~hBOOL(hAPP(_u4075, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4077), _u4079))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4077), _u4079)) | hBOOL(hAPP(_u4075, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.60 cnf(matrix-2493, plain, ( ~hBOOL(hAPP(_u4075, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4077), _u4079))) | ( _u4077 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4079), _u4070)) | hBOOL(hAPP(_u4075, _u4070)) )).
% 20.36/20.60 cnf(matrix-2494, plain, ( hBOOL(hAPP(_u4076, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4078), _u4080))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4078), _u4080)) | ( _u4078 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4080), skolem78(_u4080, _u4078, _u4076))) )).
% 20.36/20.60 cnf(matrix-2495, plain, ( hBOOL(hAPP(_u4076, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4078), _u4080))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4078), _u4080)) | ~hBOOL(hAPP(_u4076, skolem78(_u4080, _u4078, _u4076))) )).
% 20.36/20.60 cnf(matrix-2496, plain, ( hBOOL(hAPP(_u4076, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4078), _u4080))) | ~hBOOL(hAPP(_u4076, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4078 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4080), skolem78(_u4080, _u4078, _u4076))) )).
% 20.36/20.60 cnf(matrix-2497, plain, ( hBOOL(hAPP(_u4076, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4078), _u4080))) | ~hBOOL(hAPP(_u4076, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u4076, skolem78(_u4080, _u4078, _u4076))) )).
% 20.36/20.60 cnf(matrix-2498, plain, ( ~hBOOL(hAPP(_u4086, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4088), _u4090))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4088), _u4090)) | hBOOL(hAPP(_u4086, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.60 cnf(matrix-2499, plain, ( ~hBOOL(hAPP(_u4086, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4088), _u4090))) | ( _u4088 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4090), _u4081)) | hBOOL(hAPP(_u4086, _u4081)) )).
% 20.36/20.60 cnf(matrix-2500, plain, ( hBOOL(hAPP(_u4087, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4089), _u4091))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4089), _u4091)) | ( _u4089 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4091), skolem79(_u4091, _u4089, _u4087))) )).
% 20.36/20.60 cnf(matrix-2501, plain, ( hBOOL(hAPP(_u4087, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4089), _u4091))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4089), _u4091)) | ~hBOOL(hAPP(_u4087, skolem79(_u4091, _u4089, _u4087))) )).
% 20.36/20.60 cnf(matrix-2502, plain, ( hBOOL(hAPP(_u4087, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4089), _u4091))) | ~hBOOL(hAPP(_u4087, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4089 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4091), skolem79(_u4091, _u4089, _u4087))) )).
% 20.36/20.60 cnf(matrix-2503, plain, ( hBOOL(hAPP(_u4087, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4089), _u4091))) | ~hBOOL(hAPP(_u4087, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u4087, skolem79(_u4091, _u4089, _u4087))) )).
% 20.36/20.60 cnf(matrix-2504, 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), _u4094), _u4096))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4094)) )).
% 20.36/20.60 cnf(matrix-2505, 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), _u4094), _u4096))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4096)) )).
% 20.36/20.60 cnf(matrix-2506, 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))), _u4095)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4097)) | 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), _u4095), _u4097))) )).
% 20.36/20.60 cnf(matrix-2507, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4098)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4098), _u4099)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4098), _u4100))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4099), _u4100)) )).
% 20.36/20.60 cnf(matrix-2508, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4098)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4099), _u4100)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4098), _u4099)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4098), _u4100))) )).
% 20.36/20.60 cnf(matrix-2509, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4104), _u4106)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4104), _u4108))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4104)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4106), _u4108)) )).
% 20.36/20.60 cnf(matrix-2510, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4105), _u4107)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4105), _u4109))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4105)) )).
% 20.36/20.60 cnf(matrix-2511, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4105), _u4107)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4105), _u4109))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4107), _u4109)) )).
% 20.36/20.60 cnf(matrix-2512, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4113), _u4115)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4117), _u4115))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4115)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4113), _u4117)) )).
% 20.36/20.60 cnf(matrix-2513, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4114), _u4116)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4118), _u4116))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4116)) )).
% 20.36/20.60 cnf(matrix-2514, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4114), _u4116)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4118), _u4116))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4114), _u4118)) )).
% 20.36/20.60 cnf(matrix-2515, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4123), _u4124)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4123, tc_Nat_Onat), _u4125), _u4124) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u4123), skolem80(_u4125, _u4124, _u4123)), _u4124)) )).
% 20.36/20.60 cnf(matrix-2516, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4123), _u4124)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4123, tc_Nat_Onat), _u4125), _u4124) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u4125, skolem80(_u4125, _u4124, _u4123)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.60 cnf(matrix-2517, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4123), _u4124)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4123, tc_Nat_Onat), _u4125), _u4124) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u4123), _u4119), _u4124)) | ( skolem80(_u4125, _u4124, _u4123) = _u4119) | ( hAPP(_u4125, _u4119) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2518, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4123), _u4124)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4123, tc_Nat_Onat), _u4125), _u4124) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u4123), _u4122), _u4124)) | ( hAPP(_u4125, _u4122) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u4123), skolem81(_u4125, _u4124, _u4123, _u4122)), _u4124)) )).
% 20.36/20.60 cnf(matrix-2519, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4123), _u4124)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4123, tc_Nat_Onat), _u4125), _u4124) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u4123), _u4122), _u4124)) | ( hAPP(_u4125, _u4122) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4122 != skolem81(_u4125, _u4124, _u4123, _u4122)) )).
% 20.36/20.60 cnf(matrix-2520, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4123), _u4124)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4123, tc_Nat_Onat), _u4125), _u4124) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u4123), _u4122), _u4124)) | ( hAPP(_u4125, _u4122) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u4125, skolem81(_u4125, _u4124, _u4123, _u4122)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2521, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4130), _u4131)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4130, tc_Nat_Onat), _u4132), _u4131) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u4130), skolem82(_u4132, _u4131, _u4130)), _u4131)) )).
% 20.36/20.60 cnf(matrix-2522, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4130), _u4131)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4130, tc_Nat_Onat), _u4132), _u4131) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u4132, skolem82(_u4132, _u4131, _u4130)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2523, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4130), _u4131)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4130, tc_Nat_Onat), _u4132), _u4131) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u4130), _u4126), _u4131)) | ( skolem82(_u4132, _u4131, _u4130) = _u4126) | ( hAPP(_u4132, _u4126) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2524, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4130), _u4131)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4130, tc_Nat_Onat), _u4132), _u4131) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u4130), _u4129), _u4131)) | ( hAPP(_u4132, _u4129) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u4130), skolem83(_u4132, _u4131, _u4130, _u4129)), _u4131)) )).
% 20.36/20.60 cnf(matrix-2525, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4130), _u4131)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4130, tc_Nat_Onat), _u4132), _u4131) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u4130), _u4129), _u4131)) | ( hAPP(_u4132, _u4129) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u4129 != skolem83(_u4132, _u4131, _u4130, _u4129)) )).
% 20.36/20.60 cnf(matrix-2526, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4130), _u4131)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4130, tc_Nat_Onat), _u4132), _u4131) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u4130), _u4129), _u4131)) | ( hAPP(_u4132, _u4129) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u4132, skolem83(_u4132, _u4131, _u4130, _u4129)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2527, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4135), _u4136)) | ~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(_u4135, tc_Nat_Onat), _u4137), _u4136))) | ~hBOOL(hAPP(hAPP(c_member(_u4135), _u4133), _u4136)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u4137, _u4133))) )).
% 20.36/20.60 cnf(matrix-2528, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4135), _u4136)) | 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(_u4135, tc_Nat_Onat), _u4137), _u4136))) | hBOOL(hAPP(hAPP(c_member(_u4135), skolem84(_u4137, _u4136, _u4135)), _u4136)) )).
% 20.36/20.60 cnf(matrix-2529, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4135), _u4136)) | 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(_u4135, tc_Nat_Onat), _u4137), _u4136))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u4137, skolem84(_u4137, _u4136, _u4135)))) )).
% 20.36/20.60 cnf(matrix-2530, plain, ( ~class_Rings_Olinordered__semiring__1(_u4138) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4138), _u4139), _u4140)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4138), _u4141), _u4140)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4138), c_Groups_Ozero__class_Ozero(_u4138)), _u4142)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4138), c_Groups_Ozero__class_Ozero(_u4138)), _u4143)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4138), _u4142), _u4143) != c_Groups_Oone__class_Oone(_u4138)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4138), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4138), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4138), _u4142), _u4139)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4138), _u4143), _u4141))), _u4140)) )).
% 20.36/20.60 cnf(matrix-2531, 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(_u4146), _u4148))) | ( _u4148 != c_Orderings_Obot__class_Obot(tc_fun(_u4146, tc_HOL_Obool))) )).
% 20.36/20.60 cnf(matrix-2532, 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(_u4146), _u4148))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4146), _u4148)) )).
% 20.36/20.60 cnf(matrix-2533, plain, ( ( _u4149 = c_Orderings_Obot__class_Obot(tc_fun(_u4147, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4147), _u4149)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u4147), _u4149))) )).
% 20.36/20.60 cnf(matrix-2534, plain, ( ~class_Groups_Ocomm__monoid__add(_u4150) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4151), _u4152)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4151, _u4150), _u4153), _u4152) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4150, _u4151, c_Groups_Oplus__class_Oplus(_u4150)), _u4153), c_Groups_Ozero__class_Ozero(_u4150)), _u4152)) )).
% 20.36/20.60 cnf(matrix-2535, plain, ( ~class_Groups_Ocomm__monoid__add(_u4150) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4151), _u4152)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4151, _u4150), _u4153), _u4152) = c_Groups_Ozero__class_Ozero(_u4150)) )).
% 20.36/20.60 cnf(matrix-2536, plain, ( ~class_Groups_Ocomm__monoid__add(_u4154) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4155), _u4156)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4155, _u4154), _u4157), _u4156) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4154, _u4155, c_Groups_Oplus__class_Oplus(_u4154)), _u4157), c_Groups_Ozero__class_Ozero(_u4154)), _u4156)) )).
% 20.36/20.60 cnf(matrix-2537, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4158)) | ( _u4158 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4158), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 20.36/20.60 cnf(matrix-2538, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4159)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4159), c_Groups_Oone__class_Oone(tc_Nat_Onat))) = _u4159) )).
% 20.36/20.60 cnf(matrix-2539, plain, ( ( _u4162 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4162), _u4164) = _u4164) )).
% 20.36/20.60 cnf(matrix-2540, plain, ( ( _u4163 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4163), _u4165) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4163), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u4165))) )).
% 20.36/20.60 cnf(matrix-2541, plain, ( ( _u4168 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4168), _u4170) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2542, plain, ( ( _u4169 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4169), _u4171) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4171), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4169), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u4171))) )).
% 20.36/20.60 cnf(matrix-2543, plain, ( ~class_Rings_Olinordered__idom(_u4172) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4172), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4172), _u4173), _u4173)), c_Groups_Ozero__class_Ozero(_u4172))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4172), _u4173), c_Groups_Ozero__class_Ozero(_u4172))) )).
% 20.36/20.60 cnf(matrix-2544, plain, ( ~class_Rings_Olinordered__idom(_u4172) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4172), _u4173), c_Groups_Ozero__class_Ozero(_u4172))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4172), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4172), _u4173), _u4173)), c_Groups_Ozero__class_Ozero(_u4172))) )).
% 20.36/20.60 cnf(matrix-2545, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u4175) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4176), _u4177)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4176, tc_HOL_Obool)), _u4178), _u4177)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4175), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4176, _u4175), _u4179), _u4178)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4176, _u4175), _u4179), _u4177))) | hBOOL(hAPP(hAPP(c_member(_u4176), skolem85(_u4179, _u4178, _u4177, _u4176, _u4175)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4176, tc_HOL_Obool)), _u4177), _u4178))) )).
% 20.36/20.60 cnf(matrix-2546, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u4175) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4176), _u4177)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4176, tc_HOL_Obool)), _u4178), _u4177)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4175), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4176, _u4175), _u4179), _u4178)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4176, _u4175), _u4179), _u4177))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4175), c_Groups_Ozero__class_Ozero(_u4175)), hAPP(_u4179, skolem85(_u4179, _u4178, _u4177, _u4176, _u4175)))) )).
% 20.36/20.60 cnf(matrix-2547, plain, ( ( c_Hoare__Mirabelle_Otriple_Otriple__size(_u4180, _u4181, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u4180), _u4182), _u4183), _u4184)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2548, plain, ( ( c_Sum__Type_OPlus(_u4189, _u4191, _u4193, _u4195) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u4189, _u4191), tc_HOL_Obool))) | ( _u4193 = c_Orderings_Obot__class_Obot(tc_fun(_u4189, tc_HOL_Obool))) )).
% 20.36/20.60 cnf(matrix-2549, plain, ( ( c_Sum__Type_OPlus(_u4189, _u4191, _u4193, _u4195) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u4189, _u4191), tc_HOL_Obool))) | ( _u4195 = c_Orderings_Obot__class_Obot(tc_fun(_u4191, tc_HOL_Obool))) )).
% 20.36/20.60 cnf(matrix-2550, plain, ( ( _u4194 != c_Orderings_Obot__class_Obot(tc_fun(_u4190, tc_HOL_Obool))) | ( _u4196 != c_Orderings_Obot__class_Obot(tc_fun(_u4192, tc_HOL_Obool))) | ( c_Sum__Type_OPlus(_u4190, _u4192, _u4194, _u4196) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u4190, _u4192), tc_HOL_Obool))) )).
% 20.36/20.60 cnf(matrix-2551, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4198), _u4199)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4198), _u4200)) | ( hAPP(c_Finite__Set_Ocard(_u4198), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4198, tc_HOL_Obool)), _u4199), _u4200)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4198), _u4199)), hAPP(c_Finite__Set_Ocard(_u4198), _u4200))) | hBOOL(hAPP(hAPP(c_member(_u4198), skolem86(_u4200, _u4199, _u4198)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4198, tc_HOL_Obool)), _u4199), _u4200))) )).
% 20.36/20.60 cnf(matrix-2552, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4198), _u4199)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4198), _u4200)) | ( hAPP(c_Finite__Set_Ocard(_u4198), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4198, tc_HOL_Obool)), _u4199), _u4200)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4198), _u4199)), hAPP(c_Finite__Set_Ocard(_u4198), _u4200))) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2553, plain, ( ~class_Groups_Ocomm__monoid__add(_u4202) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4203), _u4204)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4203), _u4205)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4203, _u4202), _u4206), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4203, tc_HOL_Obool)), _u4204), _u4205)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4202), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4203, _u4202), _u4206), _u4204)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4203, _u4202), _u4206), _u4205))) | hBOOL(hAPP(hAPP(c_member(_u4203), skolem87(_u4206, _u4205, _u4204, _u4203, _u4202)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4203, tc_HOL_Obool)), _u4204), _u4205))) )).
% 20.36/20.60 cnf(matrix-2554, plain, ( ~class_Groups_Ocomm__monoid__add(_u4202) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4203), _u4204)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4203), _u4205)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4203, _u4202), _u4206), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4203, tc_HOL_Obool)), _u4204), _u4205)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4202), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4203, _u4202), _u4206), _u4204)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4203, _u4202), _u4206), _u4205))) | ( hAPP(_u4206, skolem87(_u4206, _u4205, _u4204, _u4203, _u4202)) != c_Groups_Ozero__class_Ozero(_u4202)) )).
% 20.36/20.60 cnf(matrix-2555, plain, ( ~class_Groups_Ocomm__monoid__add(_u4208) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4209), _u4210)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4209), _u4211)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4209, _u4208), _u4212), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4209, tc_HOL_Obool)), _u4210), _u4211)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4208), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4209, _u4208), _u4212), _u4210)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4209, _u4208), _u4212), _u4211))) | hBOOL(hAPP(hAPP(c_member(_u4209), skolem88(_u4212, _u4211, _u4210, _u4209, _u4208)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4209, tc_HOL_Obool)), _u4210), _u4211))) )).
% 20.36/20.60 cnf(matrix-2556, plain, ( ~class_Groups_Ocomm__monoid__add(_u4208) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4209), _u4210)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4209), _u4211)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4209, _u4208), _u4212), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4209, tc_HOL_Obool)), _u4210), _u4211)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4208), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4209, _u4208), _u4212), _u4210)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4209, _u4208), _u4212), _u4211))) | ( hAPP(_u4212, skolem88(_u4212, _u4211, _u4210, _u4209, _u4208)) != c_Groups_Ozero__class_Ozero(_u4208)) )).
% 20.36/20.60 cnf(matrix-2557, plain, ( ~class_Groups_Ocomm__monoid__add(_u4214) | ~class_Groups_Oordered__ab__semigroup__add(_u4214) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4215), _u4216)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4215, tc_HOL_Obool)), _u4217), _u4216)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4214), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4215, _u4214), _u4218), _u4217)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4215, _u4214), _u4218), _u4216))) | hBOOL(hAPP(hAPP(c_member(_u4215), skolem89(_u4218, _u4217, _u4216, _u4215, _u4214)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4215, tc_HOL_Obool)), _u4216), _u4217))) )).
% 20.36/20.60 cnf(matrix-2558, plain, ( ~class_Groups_Ocomm__monoid__add(_u4214) | ~class_Groups_Oordered__ab__semigroup__add(_u4214) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4215), _u4216)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4215, tc_HOL_Obool)), _u4217), _u4216)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4214), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4215, _u4214), _u4218), _u4217)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4215, _u4214), _u4218), _u4216))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4214), c_Groups_Ozero__class_Ozero(_u4214)), hAPP(_u4218, skolem89(_u4218, _u4217, _u4216, _u4215, _u4214)))) )).
% 20.36/20.60 cnf(matrix-2559, plain, ( ( c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2560, plain, ( ~class_Groups_Olinordered__ab__group__add(_u4219) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4219), _u4220), _u4220) != c_Groups_Ozero__class_Ozero(_u4219)) | ( _u4220 = c_Groups_Ozero__class_Ozero(_u4219)) )).
% 20.36/20.60 cnf(matrix-2561, plain, ( ~class_Groups_Olinordered__ab__group__add(_u4219) | ( _u4220 != c_Groups_Ozero__class_Ozero(_u4219)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4219), _u4220), _u4220) = c_Groups_Ozero__class_Ozero(_u4219)) )).
% 20.36/20.60 cnf(matrix-2562, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(_u4221)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u4221), _u4222), _u4223), _u4224)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2563, plain, ( ( hAPP(c_Finite__Set_Ocard(_u4232), _u4234) != hAPP(c_Nat_OSuc, _u4236)) | ( _u4234 = hAPP(hAPP(c_Set_Oinsert(_u4232), skolem90(_u4236, _u4234, _u4232)), skolem91(_u4236, _u4234, _u4232))) )).
% 20.36/20.60 cnf(matrix-2564, plain, ( ( hAPP(c_Finite__Set_Ocard(_u4232), _u4234) != hAPP(c_Nat_OSuc, _u4236)) | ~hBOOL(hAPP(hAPP(c_member(_u4232), skolem90(_u4236, _u4234, _u4232)), skolem91(_u4236, _u4234, _u4232))) )).
% 20.36/20.60 cnf(matrix-2565, plain, ( ( hAPP(c_Finite__Set_Ocard(_u4232), _u4234) != hAPP(c_Nat_OSuc, _u4236)) | ( hAPP(c_Finite__Set_Ocard(_u4232), skolem91(_u4236, _u4234, _u4232)) = _u4236) )).
% 20.36/20.60 cnf(matrix-2566, plain, ( ( hAPP(c_Finite__Set_Ocard(_u4232), _u4234) != hAPP(c_Nat_OSuc, _u4236)) | ( _u4236 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem91(_u4236, _u4234, _u4232) = c_Orderings_Obot__class_Obot(tc_fun(_u4232, tc_HOL_Obool))) )).
% 20.36/20.60 cnf(matrix-2567, plain, ( ( hAPP(c_Finite__Set_Ocard(_u4233), _u4235) = hAPP(c_Nat_OSuc, _u4237)) | ( _u4235 != hAPP(hAPP(c_Set_Oinsert(_u4233), _u4228), _u4227)) | hBOOL(hAPP(hAPP(c_member(_u4233), _u4228), _u4227)) | ( hAPP(c_Finite__Set_Ocard(_u4233), _u4227) != _u4237) | ( _u4237 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2568, plain, ( ( hAPP(c_Finite__Set_Ocard(_u4233), _u4235) = hAPP(c_Nat_OSuc, _u4237)) | ( _u4235 != hAPP(hAPP(c_Set_Oinsert(_u4233), _u4228), _u4227)) | hBOOL(hAPP(hAPP(c_member(_u4233), _u4228), _u4227)) | ( hAPP(c_Finite__Set_Ocard(_u4233), _u4227) != _u4237) | ( _u4227 != c_Orderings_Obot__class_Obot(tc_fun(_u4233, tc_HOL_Obool))) )).
% 20.36/20.60 cnf(matrix-2569, plain, ( ~class_Rings_Olinordered__idom(_u4238) | ~hBOOL(hAPP(hAPP(c_member(_u4238), _u4239), c_Int_Oring__1__class_OInts(_u4238))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4238), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4238), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4238), c_Groups_Oone__class_Oone(_u4238)), _u4239)), _u4239)), c_Groups_Ozero__class_Ozero(_u4238))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4238), _u4239), c_Groups_Ozero__class_Ozero(_u4238))) )).
% 20.36/20.60 cnf(matrix-2570, plain, ( ~class_Rings_Olinordered__idom(_u4238) | ~hBOOL(hAPP(hAPP(c_member(_u4238), _u4239), c_Int_Oring__1__class_OInts(_u4238))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4238), _u4239), c_Groups_Ozero__class_Ozero(_u4238))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4238), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4238), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4238), c_Groups_Oone__class_Oone(_u4238)), _u4239)), _u4239)), c_Groups_Ozero__class_Ozero(_u4238))) )).
% 20.36/20.60 cnf(matrix-2571, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OSemi(_u4240, _u4241)) = 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(_u4240)), c_Com_Ocom_Ocom__size(_u4241))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 20.36/20.60 cnf(matrix-2572, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OSemi(_u4242, _u4243)) = 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), _u4242)), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u4243))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 20.36/20.60 cnf(matrix-2573, plain, ( ~class_Fields_Ofield(_u4244) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4245), _u4246)) | ( hAPP(_u4247, _u4248) = c_Groups_Ozero__class_Ozero(_u4244)) | ~hBOOL(hAPP(hAPP(c_member(_u4245), _u4248), _u4246)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4245, _u4244), _u4247), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4245, tc_HOL_Obool)), _u4246), hAPP(hAPP(c_Set_Oinsert(_u4245), _u4248), c_Orderings_Obot__class_Obot(tc_fun(_u4245, tc_HOL_Obool))))) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4244), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4245, _u4244), _u4247), _u4246)), hAPP(_u4247, _u4248))) )).
% 20.36/20.60 cnf(matrix-2574, plain, ( ~class_Fields_Ofield(_u4244) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4245), _u4246)) | ( hAPP(_u4247, _u4248) = c_Groups_Ozero__class_Ozero(_u4244)) | hBOOL(hAPP(hAPP(c_member(_u4245), _u4248), _u4246)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4245, _u4244), _u4247), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4245, tc_HOL_Obool)), _u4246), hAPP(hAPP(c_Set_Oinsert(_u4245), _u4248), c_Orderings_Obot__class_Obot(tc_fun(_u4245, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4245, _u4244), _u4247), _u4246)) )).
% 20.36/20.60 cnf(matrix-2575, plain, ( hBOOL(hAPP(_u4251, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u4251, _u4252)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem92(_u4252, _u4251)), _u4252)) )).
% 20.36/20.60 cnf(matrix-2576, plain, ( hBOOL(hAPP(_u4251, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u4251, _u4252)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4249), skolem92(_u4252, _u4251))) | ~hBOOL(hAPP(_u4251, _u4249)) )).
% 20.36/20.60 cnf(matrix-2577, plain, ( hBOOL(hAPP(_u4251, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u4251, _u4252)) | hBOOL(hAPP(_u4251, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem92(_u4252, _u4251)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 20.36/20.60 cnf(matrix-2578, plain, ( ~class_Rings_Odivision__ring(_u4253) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4253), c_Groups_Ozero__class_Ozero(_u4253)), _u4254) = c_Groups_Ozero__class_Ozero(_u4253)) )).
% 20.36/20.60 cnf(matrix-2579, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u4255) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4255), _u4256), c_Groups_Ozero__class_Ozero(_u4255)) = c_Groups_Ozero__class_Ozero(_u4255)) )).
% 20.36/20.60 cnf(matrix-2580, plain, ( ~class_Rings_Odivision__ring(_u4257) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4257), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4257), _u4258), _u4259)), _u4260) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4257), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4257), _u4258), _u4260)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4257), _u4259), _u4260))) )).
% 20.36/20.60 cnf(matrix-2581, plain, ( ~class_Rings_Odivision__ring(_u4261) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4261), _u4262), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4261), _u4263), _u4264)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4261), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4261), _u4262), _u4263)), _u4264)) )).
% 20.36/20.60 cnf(matrix-2582, plain, ( ~class_Rings_Odivision__ring(_u4265) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4265), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4265), _u4266), _u4267)), _u4268) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4265), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4265), _u4266), _u4268)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4265), _u4267), _u4268))) )).
% 20.36/20.60 cnf(matrix-2583, plain, ( ~class_Rings_Odivision__ring(_u4269) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4269), _u4270), c_Groups_Oone__class_Oone(_u4269)) = _u4270) )).
% 20.36/20.60 cnf(matrix-2584, plain, ( ~class_Rings_Odivision__ring(_u4271) | ( _u4272 = c_Groups_Ozero__class_Ozero(_u4271)) | ( _u4273 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4271), _u4274), _u4272)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4271), _u4273), _u4272) = _u4274) )).
% 20.36/20.60 cnf(matrix-2585, plain, ( ~class_Rings_Odivision__ring(_u4271) | ( _u4272 = c_Groups_Ozero__class_Ozero(_u4271)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4271), _u4273), _u4272) != _u4274) | ( _u4273 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4271), _u4274), _u4272)) )).
% 20.36/20.60 cnf(matrix-2586, plain, ( ~class_Rings_Odivision__ring(_u4275) | ( _u4276 = c_Groups_Ozero__class_Ozero(_u4275)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4275), _u4277), _u4276) != _u4278) | ( _u4277 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4275), _u4278), _u4276)) )).
% 20.36/20.60 cnf(matrix-2587, plain, ( ~class_Rings_Odivision__ring(_u4275) | ( _u4276 = c_Groups_Ozero__class_Ozero(_u4275)) | ( _u4277 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4275), _u4278), _u4276)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4275), _u4277), _u4276) = _u4278) )).
% 20.36/20.60 cnf(matrix-2588, plain, ( ~class_Rings_Odivision__ring(_u4279) | ( _u4280 = c_Groups_Ozero__class_Ozero(_u4279)) | ( _u4281 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4279), _u4282), _u4280)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4279), _u4281), _u4280) = _u4282) )).
% 20.36/20.60 cnf(matrix-2589, plain, ( ~class_Rings_Odivision__ring(_u4283) | ( _u4284 = c_Groups_Ozero__class_Ozero(_u4283)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4283), _u4285), _u4284) != _u4286) | ( _u4285 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4283), _u4286), _u4284)) )).
% 20.36/20.60 cnf(matrix-2590, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u4287) | ( _u4288 != c_Groups_Ozero__class_Ozero(_u4287)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4287), _u4288), _u4288) = c_Groups_Ozero__class_Ozero(_u4287)) )).
% 20.36/20.60 cnf(matrix-2591, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u4287) | ( _u4288 = c_Groups_Ozero__class_Ozero(_u4287)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4287), _u4288), _u4288) = c_Groups_Oone__class_Oone(_u4287)) )).
% 20.36/20.60 cnf(matrix-2592, plain, ( ~class_Rings_Odivision__ring(_u4289) | ( _u4290 = c_Groups_Ozero__class_Ozero(_u4289)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4289), _u4290), _u4290) = c_Groups_Oone__class_Oone(_u4289)) )).
% 20.36/20.60 cnf(matrix-2593, plain, ( ~class_Rings_Odivision__ring(_u4291) | ( _u4292 = c_Groups_Ozero__class_Ozero(_u4291)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4291), _u4293), _u4292) != c_Groups_Oone__class_Oone(_u4291)) | ( _u4293 = _u4292) )).
% 20.36/20.60 cnf(matrix-2594, plain, ( ~class_Rings_Odivision__ring(_u4291) | ( _u4292 = c_Groups_Ozero__class_Ozero(_u4291)) | ( _u4293 != _u4292) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4291), _u4293), _u4292) = c_Groups_Oone__class_Oone(_u4291)) )).
% 20.36/20.60 cnf(matrix-2595, plain, ( ~class_Rings_Oring__1(_u4294) | hBOOL(hAPP(hAPP(c_member(_u4294), c_Groups_Ozero__class_Ozero(_u4294)), c_Int_Oring__1__class_OInts(_u4294))) )).
% 20.36/20.60 cnf(matrix-2596, plain, ( ~class_Rings_Oring__1(_u4295) | ~hBOOL(hAPP(hAPP(c_member(_u4295), _u4296), c_Int_Oring__1__class_OInts(_u4295))) | ~hBOOL(hAPP(hAPP(c_member(_u4295), _u4297), c_Int_Oring__1__class_OInts(_u4295))) | hBOOL(hAPP(hAPP(c_member(_u4295), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4295), _u4296), _u4297)), c_Int_Oring__1__class_OInts(_u4295))) )).
% 20.36/20.60 cnf(matrix-2597, plain, ( ~class_Rings_Oring__1(_u4298) | ~hBOOL(hAPP(hAPP(c_member(_u4298), _u4299), c_Int_Oring__1__class_OInts(_u4298))) | ~hBOOL(hAPP(hAPP(c_member(_u4298), _u4300), c_Int_Oring__1__class_OInts(_u4298))) | hBOOL(hAPP(hAPP(c_member(_u4298), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4298), _u4299), _u4300)), c_Int_Oring__1__class_OInts(_u4298))) )).
% 20.36/20.60 cnf(matrix-2598, plain, ( ~class_Rings_Oring__1(_u4301) | ~hBOOL(hAPP(hAPP(c_member(_u4301), _u4302), c_Int_Oring__1__class_OInts(_u4301))) | ~hBOOL(hAPP(hAPP(c_member(_u4301), _u4303), c_Int_Oring__1__class_OInts(_u4301))) | hBOOL(hAPP(hAPP(c_member(_u4301), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4301), _u4302), _u4303)), c_Int_Oring__1__class_OInts(_u4301))) )).
% 20.36/20.60 cnf(matrix-2599, plain, ( ~class_Rings_Oring__1(_u4304) | hBOOL(hAPP(hAPP(c_member(_u4304), c_Groups_Oone__class_Oone(_u4304)), c_Int_Oring__1__class_OInts(_u4304))) )).
% 20.36/20.60 cnf(matrix-2600, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2601, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2602, plain, ( ~class_Int_Oring__char__0(_u4305) | ~hBOOL(hAPP(hAPP(c_member(_u4305), _u4306), c_Int_Oring__1__class_OInts(_u4305))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4305), _u4306), _u4306) != c_Groups_Ozero__class_Ozero(_u4305)) | ( _u4306 = c_Groups_Ozero__class_Ozero(_u4305)) )).
% 20.36/20.60 cnf(matrix-2603, plain, ( ~class_Int_Oring__char__0(_u4305) | ~hBOOL(hAPP(hAPP(c_member(_u4305), _u4306), c_Int_Oring__1__class_OInts(_u4305))) | ( _u4306 != c_Groups_Ozero__class_Ozero(_u4305)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4305), _u4306), _u4306) = c_Groups_Ozero__class_Ozero(_u4305)) )).
% 20.36/20.60 cnf(matrix-2604, plain, ( ~class_Int_Oring__char__0(_u4307) | ~hBOOL(hAPP(hAPP(c_member(_u4307), _u4308), c_Int_Oring__1__class_OInts(_u4307))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4307), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4307), c_Groups_Oone__class_Oone(_u4307)), _u4308)), _u4308) != c_Groups_Ozero__class_Ozero(_u4307)) )).
% 20.36/20.60 cnf(matrix-2605, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4309) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), _u4310), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4309), _u4311), _u4312))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4309), c_Groups_Ozero__class_Ozero(_u4309)), _u4312)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4309), _u4310), _u4312)), _u4311)) )).
% 20.36/20.60 cnf(matrix-2606, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4309) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), _u4310), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4309), _u4311), _u4312))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4309), c_Groups_Ozero__class_Ozero(_u4309)), _u4312)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4309), _u4312), c_Groups_Ozero__class_Ozero(_u4309))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), _u4311), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4309), _u4310), _u4312))) )).
% 20.36/20.60 cnf(matrix-2607, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4309) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), _u4310), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4309), _u4311), _u4312))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4309), c_Groups_Ozero__class_Ozero(_u4309)), _u4312)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4309), _u4312), c_Groups_Ozero__class_Ozero(_u4309))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), _u4310), c_Groups_Ozero__class_Ozero(_u4309))) )).
% 20.36/20.60 cnf(matrix-2608, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4309) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), _u4310), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4309), _u4311), _u4312))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4309), c_Groups_Ozero__class_Ozero(_u4309)), _u4312)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4309), _u4312), c_Groups_Ozero__class_Ozero(_u4309))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), _u4310), c_Groups_Ozero__class_Ozero(_u4309))) )).
% 20.36/20.60 cnf(matrix-2609, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4309) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), _u4310), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4309), _u4311), _u4312))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4309), c_Groups_Ozero__class_Ozero(_u4309)), _u4312)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), _u4311), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4309), _u4310), _u4312))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4309), _u4312), c_Groups_Ozero__class_Ozero(_u4309))) )).
% 20.36/20.60 cnf(matrix-2610, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4309) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), _u4310), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4309), _u4311), _u4312))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4309), c_Groups_Ozero__class_Ozero(_u4309)), _u4312)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), _u4311), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4309), _u4310), _u4312))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), _u4310), c_Groups_Ozero__class_Ozero(_u4309))) )).
% 20.36/20.60 cnf(matrix-2611, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4309) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), _u4310), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4309), _u4311), _u4312))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4309), _u4310), _u4312)), _u4311)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4309), c_Groups_Ozero__class_Ozero(_u4309)), _u4312)) )).
% 20.36/20.60 cnf(matrix-2612, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4309) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), _u4310), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4309), _u4311), _u4312))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4309), _u4310), _u4312)), _u4311)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4309), _u4312), c_Groups_Ozero__class_Ozero(_u4309))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), _u4310), c_Groups_Ozero__class_Ozero(_u4309))) )).
% 20.36/20.60 cnf(matrix-2613, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4309) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), _u4310), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4309), _u4311), _u4312))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4309), _u4310), _u4312)), _u4311)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), _u4311), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4309), _u4310), _u4312))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4309), _u4312), c_Groups_Ozero__class_Ozero(_u4309))) )).
% 20.36/20.60 cnf(matrix-2614, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4309) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), _u4310), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4309), _u4311), _u4312))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4309), _u4310), _u4312)), _u4311)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), _u4311), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4309), _u4310), _u4312))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4309), _u4310), c_Groups_Ozero__class_Ozero(_u4309))) )).
% 20.36/20.60 cnf(matrix-2615, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4313) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4313), _u4314), _u4315)), _u4316)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4313), c_Groups_Ozero__class_Ozero(_u4313)), _u4315)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), _u4314), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4313), _u4316), _u4315))) )).
% 20.36/20.60 cnf(matrix-2616, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4313) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4313), _u4314), _u4315)), _u4316)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4313), c_Groups_Ozero__class_Ozero(_u4313)), _u4315)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4313), _u4315), c_Groups_Ozero__class_Ozero(_u4313))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4313), _u4316), _u4315)), _u4314)) )).
% 20.36/20.60 cnf(matrix-2617, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4313) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4313), _u4314), _u4315)), _u4316)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4313), c_Groups_Ozero__class_Ozero(_u4313)), _u4315)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4313), _u4315), c_Groups_Ozero__class_Ozero(_u4313))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), c_Groups_Ozero__class_Ozero(_u4313)), _u4316)) )).
% 20.36/20.60 cnf(matrix-2618, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4313) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4313), _u4314), _u4315)), _u4316)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4313), c_Groups_Ozero__class_Ozero(_u4313)), _u4315)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4313), _u4315), c_Groups_Ozero__class_Ozero(_u4313))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), c_Groups_Ozero__class_Ozero(_u4313)), _u4316)) )).
% 20.36/20.60 cnf(matrix-2619, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4313) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4313), _u4314), _u4315)), _u4316)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4313), c_Groups_Ozero__class_Ozero(_u4313)), _u4315)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4313), _u4316), _u4315)), _u4314)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4313), _u4315), c_Groups_Ozero__class_Ozero(_u4313))) )).
% 20.36/20.60 cnf(matrix-2620, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4313) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4313), _u4314), _u4315)), _u4316)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4313), c_Groups_Ozero__class_Ozero(_u4313)), _u4315)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4313), _u4316), _u4315)), _u4314)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), c_Groups_Ozero__class_Ozero(_u4313)), _u4316)) )).
% 20.36/20.60 cnf(matrix-2621, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4313) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4313), _u4314), _u4315)), _u4316)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), _u4314), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4313), _u4316), _u4315))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4313), c_Groups_Ozero__class_Ozero(_u4313)), _u4315)) )).
% 20.36/20.60 cnf(matrix-2622, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4313) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4313), _u4314), _u4315)), _u4316)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), _u4314), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4313), _u4316), _u4315))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4313), _u4315), c_Groups_Ozero__class_Ozero(_u4313))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), c_Groups_Ozero__class_Ozero(_u4313)), _u4316)) )).
% 20.36/20.60 cnf(matrix-2623, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4313) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4313), _u4314), _u4315)), _u4316)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), _u4314), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4313), _u4316), _u4315))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4313), _u4316), _u4315)), _u4314)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4313), _u4315), c_Groups_Ozero__class_Ozero(_u4313))) )).
% 20.36/20.60 cnf(matrix-2624, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4313) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4313), _u4314), _u4315)), _u4316)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), _u4314), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4313), _u4316), _u4315))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4313), _u4316), _u4315)), _u4314)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4313), c_Groups_Ozero__class_Ozero(_u4313)), _u4316)) )).
% 20.36/20.60 cnf(matrix-2625, plain, ( ~class_Fields_Olinordered__field(_u4317) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4317), c_Groups_Ozero__class_Ozero(_u4317)), _u4318)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4317), _u4319), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4317), _u4320), _u4318))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4317), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4317), _u4319), _u4318)), _u4320)) )).
% 20.36/20.60 cnf(matrix-2626, plain, ( ~class_Fields_Olinordered__field(_u4317) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4317), c_Groups_Ozero__class_Ozero(_u4317)), _u4318)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4317), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4317), _u4319), _u4318)), _u4320)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4317), _u4319), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4317), _u4320), _u4318))) )).
% 20.36/20.60 cnf(matrix-2627, plain, ( ~class_Fields_Olinordered__field(_u4321) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4321), c_Groups_Ozero__class_Ozero(_u4321)), _u4322)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4321), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4321), _u4323), _u4322)), _u4324)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4321), _u4323), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4321), _u4324), _u4322))) )).
% 20.36/20.60 cnf(matrix-2628, plain, ( ~class_Fields_Olinordered__field(_u4321) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4321), c_Groups_Ozero__class_Ozero(_u4321)), _u4322)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4321), _u4323), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4321), _u4324), _u4322))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4321), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4321), _u4323), _u4322)), _u4324)) )).
% 20.36/20.60 cnf(matrix-2629, plain, ( ~class_Fields_Olinordered__field(_u4325) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4325), c_Groups_Ozero__class_Ozero(_u4325)), _u4326)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4325), _u4327), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4325), _u4328), _u4326))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4325), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4325), _u4327), _u4326)), _u4328)) )).
% 20.36/20.60 cnf(matrix-2630, plain, ( ~class_Fields_Olinordered__field(_u4329) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4329), c_Groups_Ozero__class_Ozero(_u4329)), _u4330)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4329), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4329), _u4331), _u4330)), _u4332)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4329), _u4331), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4329), _u4332), _u4330))) )).
% 20.36/20.60 cnf(matrix-2631, plain, ( ~class_Fields_Olinordered__field(_u4333) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4333), _u4334), c_Groups_Ozero__class_Ozero(_u4333))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4333), _u4335), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4333), _u4336), _u4334))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4333), _u4336), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4333), _u4335), _u4334))) )).
% 20.36/20.60 cnf(matrix-2632, plain, ( ~class_Fields_Olinordered__field(_u4333) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4333), _u4334), c_Groups_Ozero__class_Ozero(_u4333))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4333), _u4336), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4333), _u4335), _u4334))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4333), _u4335), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4333), _u4336), _u4334))) )).
% 20.36/20.60 cnf(matrix-2633, plain, ( ~class_Fields_Ofield__inverse__zero(_u4337) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4337), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4337), _u4338), _u4339)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4337), _u4340), _u4341)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4337), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4337), _u4338), _u4340)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4337), _u4339), _u4341))) )).
% 20.36/20.60 cnf(matrix-2634, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4342) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4342), c_Groups_Ozero__class_Ozero(_u4342)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4342), _u4343), _u4344))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4342), c_Groups_Ozero__class_Ozero(_u4342)), _u4343)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4342), _u4343), c_Groups_Ozero__class_Ozero(_u4342))) )).
% 20.36/20.60 cnf(matrix-2635, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4342) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4342), c_Groups_Ozero__class_Ozero(_u4342)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4342), _u4343), _u4344))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4342), c_Groups_Ozero__class_Ozero(_u4342)), _u4343)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4342), _u4344), c_Groups_Ozero__class_Ozero(_u4342))) )).
% 20.36/20.60 cnf(matrix-2636, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4342) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4342), c_Groups_Ozero__class_Ozero(_u4342)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4342), _u4343), _u4344))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4342), c_Groups_Ozero__class_Ozero(_u4342)), _u4344)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4342), _u4343), c_Groups_Ozero__class_Ozero(_u4342))) )).
% 20.36/20.60 cnf(matrix-2637, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4342) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4342), c_Groups_Ozero__class_Ozero(_u4342)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4342), _u4343), _u4344))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4342), c_Groups_Ozero__class_Ozero(_u4342)), _u4344)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4342), _u4344), c_Groups_Ozero__class_Ozero(_u4342))) )).
% 20.36/20.60 cnf(matrix-2638, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4342) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4342), c_Groups_Ozero__class_Ozero(_u4342)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4342), _u4343), _u4344))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4342), c_Groups_Ozero__class_Ozero(_u4342)), _u4343)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4342), c_Groups_Ozero__class_Ozero(_u4342)), _u4344)) )).
% 20.36/20.60 cnf(matrix-2639, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4342) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4342), c_Groups_Ozero__class_Ozero(_u4342)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4342), _u4343), _u4344))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4342), _u4343), c_Groups_Ozero__class_Ozero(_u4342))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4342), _u4344), c_Groups_Ozero__class_Ozero(_u4342))) )).
% 20.36/20.60 cnf(matrix-2640, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4345) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4345), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4345), _u4346), _u4347)), c_Groups_Ozero__class_Ozero(_u4345))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4345), c_Groups_Ozero__class_Ozero(_u4345)), _u4346)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4345), _u4346), c_Groups_Ozero__class_Ozero(_u4345))) )).
% 20.36/20.60 cnf(matrix-2641, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4345) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4345), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4345), _u4346), _u4347)), c_Groups_Ozero__class_Ozero(_u4345))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4345), c_Groups_Ozero__class_Ozero(_u4345)), _u4346)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4345), c_Groups_Ozero__class_Ozero(_u4345)), _u4347)) )).
% 20.36/20.60 cnf(matrix-2642, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4345) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4345), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4345), _u4346), _u4347)), c_Groups_Ozero__class_Ozero(_u4345))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4345), _u4347), c_Groups_Ozero__class_Ozero(_u4345))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4345), _u4346), c_Groups_Ozero__class_Ozero(_u4345))) )).
% 20.36/20.60 cnf(matrix-2643, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4345) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4345), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4345), _u4346), _u4347)), c_Groups_Ozero__class_Ozero(_u4345))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4345), _u4347), c_Groups_Ozero__class_Ozero(_u4345))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4345), c_Groups_Ozero__class_Ozero(_u4345)), _u4347)) )).
% 20.36/20.60 cnf(matrix-2644, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4345) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4345), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4345), _u4346), _u4347)), c_Groups_Ozero__class_Ozero(_u4345))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4345), c_Groups_Ozero__class_Ozero(_u4345)), _u4346)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4345), _u4347), c_Groups_Ozero__class_Ozero(_u4345))) )).
% 20.36/20.60 cnf(matrix-2645, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4345) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4345), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4345), _u4346), _u4347)), c_Groups_Ozero__class_Ozero(_u4345))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4345), _u4346), c_Groups_Ozero__class_Ozero(_u4345))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4345), c_Groups_Ozero__class_Ozero(_u4345)), _u4347)) )).
% 20.36/20.60 cnf(matrix-2646, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4348) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4348), _u4349), _u4350)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4348), c_Groups_Ozero__class_Ozero(_u4348)), _u4351)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4348), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4348), _u4349), _u4351)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4348), _u4350), _u4351))) )).
% 20.36/20.60 cnf(matrix-2647, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4352) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4352), _u4353), _u4354)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4352), _u4355), c_Groups_Ozero__class_Ozero(_u4352))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4352), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4352), _u4354), _u4355)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4352), _u4353), _u4355))) )).
% 20.36/20.60 cnf(matrix-2648, plain, ( ~class_Fields_Olinordered__field(_u4356) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4356), _u4357), _u4358)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4356), _u4359), c_Groups_Ozero__class_Ozero(_u4356))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4356), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4356), _u4358), _u4359)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4356), _u4357), _u4359))) )).
% 20.36/20.60 cnf(matrix-2649, plain, ( ~class_Fields_Olinordered__field(_u4360) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4360), _u4361), _u4362)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4360), c_Groups_Ozero__class_Ozero(_u4360)), _u4363)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4360), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4360), _u4361), _u4363)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4360), _u4362), _u4363))) )).
% 20.36/20.60 cnf(matrix-2650, plain, ( ~class_Fields_Olinordered__field(_u4364) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4364), _u4365), c_Groups_Ozero__class_Ozero(_u4364))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4364), _u4366), c_Groups_Ozero__class_Ozero(_u4364))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4364), c_Groups_Ozero__class_Ozero(_u4364)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4364), _u4365), _u4366))) )).
% 20.36/20.60 cnf(matrix-2651, plain, ( ~class_Fields_Olinordered__field(_u4367) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4367), _u4368), c_Groups_Ozero__class_Ozero(_u4367))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4367), c_Groups_Ozero__class_Ozero(_u4367)), _u4369)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4367), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4367), _u4368), _u4369)), c_Groups_Ozero__class_Ozero(_u4367))) )).
% 20.36/20.60 cnf(matrix-2652, plain, ( ~class_Fields_Olinordered__field(_u4370) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4370), c_Groups_Ozero__class_Ozero(_u4370)), _u4371)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4370), _u4372), c_Groups_Ozero__class_Ozero(_u4370))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4370), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4370), _u4371), _u4372)), c_Groups_Ozero__class_Ozero(_u4370))) )).
% 20.36/20.60 cnf(matrix-2653, plain, ( ~class_Fields_Olinordered__field(_u4373) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4373), c_Groups_Ozero__class_Ozero(_u4373)), _u4374)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4373), c_Groups_Ozero__class_Ozero(_u4373)), _u4375)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4373), c_Groups_Ozero__class_Ozero(_u4373)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4373), _u4374), _u4375))) )).
% 20.36/20.60 cnf(matrix-2654, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4376) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4376), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4376), _u4377), _u4378)), c_Groups_Ozero__class_Ozero(_u4376))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4376), c_Groups_Ozero__class_Ozero(_u4376)), _u4377)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4376), _u4377), c_Groups_Ozero__class_Ozero(_u4376))) )).
% 20.36/20.60 cnf(matrix-2655, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4376) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4376), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4376), _u4377), _u4378)), c_Groups_Ozero__class_Ozero(_u4376))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4376), c_Groups_Ozero__class_Ozero(_u4376)), _u4377)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4376), c_Groups_Ozero__class_Ozero(_u4376)), _u4378)) )).
% 20.36/20.60 cnf(matrix-2656, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4376) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4376), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4376), _u4377), _u4378)), c_Groups_Ozero__class_Ozero(_u4376))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4376), _u4378), c_Groups_Ozero__class_Ozero(_u4376))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4376), _u4377), c_Groups_Ozero__class_Ozero(_u4376))) )).
% 20.36/20.60 cnf(matrix-2657, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4376) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4376), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4376), _u4377), _u4378)), c_Groups_Ozero__class_Ozero(_u4376))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4376), _u4378), c_Groups_Ozero__class_Ozero(_u4376))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4376), c_Groups_Ozero__class_Ozero(_u4376)), _u4378)) )).
% 20.36/20.60 cnf(matrix-2658, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4376) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4376), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4376), _u4377), _u4378)), c_Groups_Ozero__class_Ozero(_u4376))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4376), c_Groups_Ozero__class_Ozero(_u4376)), _u4377)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4376), _u4378), c_Groups_Ozero__class_Ozero(_u4376))) )).
% 20.36/20.60 cnf(matrix-2659, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4376) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4376), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4376), _u4377), _u4378)), c_Groups_Ozero__class_Ozero(_u4376))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4376), _u4377), c_Groups_Ozero__class_Ozero(_u4376))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4376), c_Groups_Ozero__class_Ozero(_u4376)), _u4378)) )).
% 20.36/20.60 cnf(matrix-2660, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4379) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4379), c_Groups_Ozero__class_Ozero(_u4379)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4379), _u4380), _u4381))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4379), c_Groups_Ozero__class_Ozero(_u4379)), _u4380)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4379), _u4380), c_Groups_Ozero__class_Ozero(_u4379))) )).
% 20.36/20.60 cnf(matrix-2661, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4379) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4379), c_Groups_Ozero__class_Ozero(_u4379)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4379), _u4380), _u4381))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4379), c_Groups_Ozero__class_Ozero(_u4379)), _u4380)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4379), _u4381), c_Groups_Ozero__class_Ozero(_u4379))) )).
% 20.36/20.60 cnf(matrix-2662, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4379) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4379), c_Groups_Ozero__class_Ozero(_u4379)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4379), _u4380), _u4381))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4379), c_Groups_Ozero__class_Ozero(_u4379)), _u4381)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4379), _u4380), c_Groups_Ozero__class_Ozero(_u4379))) )).
% 20.36/20.60 cnf(matrix-2663, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4379) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4379), c_Groups_Ozero__class_Ozero(_u4379)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4379), _u4380), _u4381))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4379), c_Groups_Ozero__class_Ozero(_u4379)), _u4381)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4379), _u4381), c_Groups_Ozero__class_Ozero(_u4379))) )).
% 20.36/20.60 cnf(matrix-2664, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4379) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4379), c_Groups_Ozero__class_Ozero(_u4379)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4379), _u4380), _u4381))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4379), c_Groups_Ozero__class_Ozero(_u4379)), _u4380)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4379), c_Groups_Ozero__class_Ozero(_u4379)), _u4381)) )).
% 20.36/20.60 cnf(matrix-2665, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4379) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4379), c_Groups_Ozero__class_Ozero(_u4379)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4379), _u4380), _u4381))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4379), _u4380), c_Groups_Ozero__class_Ozero(_u4379))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4379), _u4381), c_Groups_Ozero__class_Ozero(_u4379))) )).
% 20.36/20.60 cnf(matrix-2666, plain, ( ~class_Fields_Ofield__inverse__zero(_u4382) | ( _u4383 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4382), _u4384), _u4385)) | ( _u4385 = c_Groups_Ozero__class_Ozero(_u4382)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4382), _u4383), _u4385) = _u4384) )).
% 20.36/20.60 cnf(matrix-2667, plain, ( ~class_Fields_Ofield__inverse__zero(_u4382) | ( _u4383 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4382), _u4384), _u4385)) | ( _u4385 != c_Groups_Ozero__class_Ozero(_u4382)) | ( _u4383 = c_Groups_Ozero__class_Ozero(_u4382)) )).
% 20.36/20.60 cnf(matrix-2668, plain, ( ~class_Fields_Ofield__inverse__zero(_u4382) | ( _u4383 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4382), _u4384), _u4385)) | ( _u4385 != c_Groups_Ozero__class_Ozero(_u4382)) | ( _u4383 != c_Groups_Ozero__class_Ozero(_u4382)) )).
% 20.36/20.60 cnf(matrix-2669, plain, ( ~class_Fields_Ofield__inverse__zero(_u4382) | ( _u4383 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4382), _u4384), _u4385)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4382), _u4383), _u4385) != _u4384) | ( _u4385 = c_Groups_Ozero__class_Ozero(_u4382)) )).
% 20.36/20.60 cnf(matrix-2670, plain, ( ~class_Fields_Ofield__inverse__zero(_u4382) | ( _u4383 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4382), _u4384), _u4385)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4382), _u4383), _u4385) != _u4384) | ( _u4383 != c_Groups_Ozero__class_Ozero(_u4382)) )).
% 20.36/20.60 cnf(matrix-2671, plain, ( ~class_Fields_Ofield__inverse__zero(_u4386) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4386), _u4387), _u4388) != _u4389) | ( _u4388 = c_Groups_Ozero__class_Ozero(_u4386)) | ( _u4387 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4386), _u4389), _u4388)) )).
% 20.36/20.60 cnf(matrix-2672, plain, ( ~class_Fields_Ofield__inverse__zero(_u4386) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4386), _u4387), _u4388) != _u4389) | ( _u4388 != c_Groups_Ozero__class_Ozero(_u4386)) | ( _u4389 = c_Groups_Ozero__class_Ozero(_u4386)) )).
% 20.36/20.60 cnf(matrix-2673, plain, ( ~class_Fields_Ofield__inverse__zero(_u4386) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4386), _u4387), _u4388) = _u4389) | ( _u4388 != c_Groups_Ozero__class_Ozero(_u4386)) | ( _u4389 != c_Groups_Ozero__class_Ozero(_u4386)) )).
% 20.36/20.60 cnf(matrix-2674, plain, ( ~class_Fields_Ofield__inverse__zero(_u4386) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4386), _u4387), _u4388) = _u4389) | ( _u4387 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4386), _u4389), _u4388)) | ( _u4388 = c_Groups_Ozero__class_Ozero(_u4386)) )).
% 20.36/20.60 cnf(matrix-2675, plain, ( ~class_Fields_Ofield__inverse__zero(_u4386) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4386), _u4387), _u4388) = _u4389) | ( _u4387 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4386), _u4389), _u4388)) | ( _u4389 != c_Groups_Ozero__class_Ozero(_u4386)) )).
% 20.36/20.60 cnf(matrix-2676, plain, ( ~class_Fields_Ofield__inverse__zero(_u4390) | ( _u4391 = c_Groups_Ozero__class_Ozero(_u4390)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4390), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4390), _u4392), _u4391)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4390), _u4393), _u4391)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4390), _u4392), _u4393)) )).
% 20.36/20.60 cnf(matrix-2677, plain, ( ~class_Fields_Ofield__inverse__zero(_u4394) | ( _u4395 = c_Groups_Ozero__class_Ozero(_u4394)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4394), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4394), _u4395), _u4396)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4394), _u4395), _u4397)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4394), _u4396), _u4397)) )).
% 20.36/20.60 cnf(matrix-2678, plain, ( ~class_Fields_Ofield(_u4398) | ( _u4399 = c_Groups_Ozero__class_Ozero(_u4398)) | ( _u4400 = c_Groups_Ozero__class_Ozero(_u4398)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4398), _u4401), _u4399) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4398), _u4402), _u4400)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4398), _u4401), _u4400) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4398), _u4402), _u4399)) )).
% 20.36/20.60 cnf(matrix-2679, plain, ( ~class_Fields_Ofield(_u4398) | ( _u4399 = c_Groups_Ozero__class_Ozero(_u4398)) | ( _u4400 = c_Groups_Ozero__class_Ozero(_u4398)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4398), _u4401), _u4400) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4398), _u4402), _u4399)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4398), _u4401), _u4399) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4398), _u4402), _u4400)) )).
% 20.36/20.60 cnf(matrix-2680, plain, ( ~class_Fields_Olinordered__field(_u4403) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4403), c_Groups_Ozero__class_Ozero(_u4403)), _u4404)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4403), c_Groups_Ozero__class_Ozero(_u4403)), _u4405)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4403), c_Groups_Ozero__class_Ozero(_u4403)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4403), _u4404), _u4405))) )).
% 20.36/20.60 cnf(matrix-2681, plain, ( ~class_Fields_Olinordered__field(_u4406) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4406), c_Groups_Ozero__class_Ozero(_u4406)), _u4407)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4406), _u4408), c_Groups_Ozero__class_Ozero(_u4406))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4406), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4406), _u4407), _u4408)), c_Groups_Ozero__class_Ozero(_u4406))) )).
% 20.36/20.60 cnf(matrix-2682, plain, ( ~class_Fields_Olinordered__field(_u4409) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4409), c_Groups_Ozero__class_Ozero(_u4409)), _u4410)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4409), _u4410), _u4411)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4409), c_Groups_Ozero__class_Ozero(_u4409)), _u4412)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4409), _u4412), _u4413)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4409), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4409), _u4410), _u4413)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4409), _u4411), _u4412))) )).
% 20.36/20.60 cnf(matrix-2683, plain, ( ~class_Fields_Olinordered__field(_u4414) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4414), c_Groups_Ozero__class_Ozero(_u4414)), _u4415)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4414), _u4415), _u4416)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4414), c_Groups_Ozero__class_Ozero(_u4414)), _u4417)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4414), _u4417), _u4418)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4414), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4414), _u4415), _u4418)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4414), _u4416), _u4417))) )).
% 20.36/20.60 cnf(matrix-2684, plain, ( ~class_Fields_Olinordered__field(_u4419) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4419), c_Groups_Ozero__class_Ozero(_u4419)), _u4420)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4419), _u4420), _u4421)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4419), c_Groups_Ozero__class_Ozero(_u4419)), _u4422)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4419), _u4422), _u4423)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4419), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4419), _u4420), _u4423)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4419), _u4421), _u4422))) )).
% 20.36/20.60 cnf(matrix-2685, plain, ( ~class_Fields_Olinordered__field(_u4424) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4424), _u4425), c_Groups_Ozero__class_Ozero(_u4424))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4424), c_Groups_Ozero__class_Ozero(_u4424)), _u4426)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4424), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4424), _u4425), _u4426)), c_Groups_Ozero__class_Ozero(_u4424))) )).
% 20.36/20.60 cnf(matrix-2686, plain, ( ~class_Fields_Olinordered__field(_u4427) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4427), _u4428), c_Groups_Ozero__class_Ozero(_u4427))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4427), _u4429), c_Groups_Ozero__class_Ozero(_u4427))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4427), c_Groups_Ozero__class_Ozero(_u4427)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4427), _u4428), _u4429))) )).
% 20.36/20.60 cnf(matrix-2687, plain, ( ~class_Fields_Olinordered__field(_u4430) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4430), _u4431), _u4432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4430), _u4433), c_Groups_Ozero__class_Ozero(_u4430))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4430), c_Groups_Ozero__class_Ozero(_u4430)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4430), _u4431), _u4432))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4430), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4430), _u4433), _u4431)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4430), _u4433), _u4432))) )).
% 20.36/20.60 cnf(matrix-2688, plain, ( ~class_Fields_Olinordered__field(_u4434) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4434), _u4435), _u4436)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4434), c_Groups_Ozero__class_Ozero(_u4434)), _u4437)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4434), c_Groups_Ozero__class_Ozero(_u4434)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4434), _u4436), _u4435))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4434), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4434), _u4437), _u4436)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4434), _u4437), _u4435))) )).
% 20.36/20.60 cnf(matrix-2689, plain, ( ~class_Fields_Olinordered__field(_u4438) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4438), _u4439), c_Groups_Ozero__class_Ozero(_u4438))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4438), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4438), _u4440), _u4439)), _u4441)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4438), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4438), _u4441), _u4439)), _u4440)) )).
% 20.36/20.60 cnf(matrix-2690, plain, ( ~class_Fields_Olinordered__field(_u4438) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4438), _u4439), c_Groups_Ozero__class_Ozero(_u4438))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4438), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4438), _u4441), _u4439)), _u4440)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4438), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4438), _u4440), _u4439)), _u4441)) )).
% 20.36/20.60 cnf(matrix-2691, plain, ( ~class_Fields_Olinordered__field(_u4442) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4442), _u4443), c_Groups_Ozero__class_Ozero(_u4442))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4442), _u4444), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4442), _u4445), _u4443))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4442), _u4445), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4442), _u4444), _u4443))) )).
% 20.36/20.60 cnf(matrix-2692, plain, ( ~class_Fields_Olinordered__field(_u4442) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4442), _u4443), c_Groups_Ozero__class_Ozero(_u4442))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4442), _u4445), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4442), _u4444), _u4443))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4442), _u4444), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4442), _u4445), _u4443))) )).
% 20.36/20.60 cnf(matrix-2693, plain, ( ~class_Fields_Olinordered__field(_u4446) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4446), c_Groups_Ozero__class_Ozero(_u4446)), _u4447)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4446), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4446), _u4448), _u4447)), _u4449)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4446), _u4448), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4446), _u4449), _u4447))) )).
% 20.36/20.60 cnf(matrix-2694, plain, ( ~class_Fields_Olinordered__field(_u4450) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4450), c_Groups_Ozero__class_Ozero(_u4450)), _u4451)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4450), _u4452), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4450), _u4453), _u4451))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4450), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4450), _u4452), _u4451)), _u4453)) )).
% 20.36/20.60 cnf(matrix-2695, plain, ( ~class_Fields_Olinordered__field(_u4454) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4454), c_Groups_Ozero__class_Ozero(_u4454)), _u4455)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4454), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4454), _u4456), _u4455)), _u4457)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4454), _u4456), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4454), _u4457), _u4455))) )).
% 20.36/20.60 cnf(matrix-2696, plain, ( ~class_Fields_Olinordered__field(_u4454) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4454), c_Groups_Ozero__class_Ozero(_u4454)), _u4455)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4454), _u4456), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4454), _u4457), _u4455))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4454), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4454), _u4456), _u4455)), _u4457)) )).
% 20.36/20.60 cnf(matrix-2697, plain, ( ~class_Fields_Olinordered__field(_u4458) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4458), c_Groups_Ozero__class_Ozero(_u4458)), _u4459)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4458), _u4460), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4458), _u4461), _u4459))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4458), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4458), _u4460), _u4459)), _u4461)) )).
% 20.36/20.60 cnf(matrix-2698, plain, ( ~class_Fields_Olinordered__field(_u4458) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4458), c_Groups_Ozero__class_Ozero(_u4458)), _u4459)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4458), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4458), _u4460), _u4459)), _u4461)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4458), _u4460), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4458), _u4461), _u4459))) )).
% 20.36/20.60 cnf(matrix-2699, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4462) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4462), _u4463), _u4464)), _u4465)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), c_Groups_Ozero__class_Ozero(_u4462)), _u4464)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), _u4463), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4462), _u4465), _u4464))) )).
% 20.36/20.60 cnf(matrix-2700, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4462) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4462), _u4463), _u4464)), _u4465)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), c_Groups_Ozero__class_Ozero(_u4462)), _u4464)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), _u4464), c_Groups_Ozero__class_Ozero(_u4462))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4462), _u4465), _u4464)), _u4463)) )).
% 20.36/20.60 cnf(matrix-2701, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4462) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4462), _u4463), _u4464)), _u4465)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), c_Groups_Ozero__class_Ozero(_u4462)), _u4464)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), _u4464), c_Groups_Ozero__class_Ozero(_u4462))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), c_Groups_Ozero__class_Ozero(_u4462)), _u4465)) )).
% 20.36/20.60 cnf(matrix-2702, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4462) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4462), _u4463), _u4464)), _u4465)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), c_Groups_Ozero__class_Ozero(_u4462)), _u4464)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), _u4464), c_Groups_Ozero__class_Ozero(_u4462))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), c_Groups_Ozero__class_Ozero(_u4462)), _u4465)) )).
% 20.36/20.60 cnf(matrix-2703, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4462) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4462), _u4463), _u4464)), _u4465)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), c_Groups_Ozero__class_Ozero(_u4462)), _u4464)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4462), _u4465), _u4464)), _u4463)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), _u4464), c_Groups_Ozero__class_Ozero(_u4462))) )).
% 20.36/20.60 cnf(matrix-2704, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4462) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4462), _u4463), _u4464)), _u4465)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), c_Groups_Ozero__class_Ozero(_u4462)), _u4464)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4462), _u4465), _u4464)), _u4463)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), c_Groups_Ozero__class_Ozero(_u4462)), _u4465)) )).
% 20.36/20.60 cnf(matrix-2705, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4462) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4462), _u4463), _u4464)), _u4465)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), _u4463), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4462), _u4465), _u4464))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), c_Groups_Ozero__class_Ozero(_u4462)), _u4464)) )).
% 20.36/20.60 cnf(matrix-2706, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4462) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4462), _u4463), _u4464)), _u4465)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), _u4463), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4462), _u4465), _u4464))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), _u4464), c_Groups_Ozero__class_Ozero(_u4462))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), c_Groups_Ozero__class_Ozero(_u4462)), _u4465)) )).
% 20.36/20.60 cnf(matrix-2707, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4462) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4462), _u4463), _u4464)), _u4465)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), _u4463), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4462), _u4465), _u4464))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4462), _u4465), _u4464)), _u4463)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), _u4464), c_Groups_Ozero__class_Ozero(_u4462))) )).
% 20.36/20.60 cnf(matrix-2708, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4462) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4462), _u4463), _u4464)), _u4465)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), _u4463), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4462), _u4465), _u4464))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4462), _u4465), _u4464)), _u4463)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4462), c_Groups_Ozero__class_Ozero(_u4462)), _u4465)) )).
% 20.36/20.60 cnf(matrix-2709, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4466) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4467), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4466), _u4468), _u4469))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), c_Groups_Ozero__class_Ozero(_u4466)), _u4469)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4466), _u4467), _u4469)), _u4468)) )).
% 20.36/20.60 cnf(matrix-2710, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4466) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4467), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4466), _u4468), _u4469))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), c_Groups_Ozero__class_Ozero(_u4466)), _u4469)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4469), c_Groups_Ozero__class_Ozero(_u4466))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4468), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4466), _u4467), _u4469))) )).
% 20.36/20.60 cnf(matrix-2711, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4466) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4467), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4466), _u4468), _u4469))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), c_Groups_Ozero__class_Ozero(_u4466)), _u4469)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4469), c_Groups_Ozero__class_Ozero(_u4466))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4467), c_Groups_Ozero__class_Ozero(_u4466))) )).
% 20.36/20.60 cnf(matrix-2712, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4466) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4467), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4466), _u4468), _u4469))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), c_Groups_Ozero__class_Ozero(_u4466)), _u4469)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4469), c_Groups_Ozero__class_Ozero(_u4466))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4467), c_Groups_Ozero__class_Ozero(_u4466))) )).
% 20.36/20.60 cnf(matrix-2713, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4466) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4467), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4466), _u4468), _u4469))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), c_Groups_Ozero__class_Ozero(_u4466)), _u4469)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4468), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4466), _u4467), _u4469))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4469), c_Groups_Ozero__class_Ozero(_u4466))) )).
% 20.36/20.60 cnf(matrix-2714, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4466) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4467), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4466), _u4468), _u4469))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), c_Groups_Ozero__class_Ozero(_u4466)), _u4469)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4468), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4466), _u4467), _u4469))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4467), c_Groups_Ozero__class_Ozero(_u4466))) )).
% 20.36/20.60 cnf(matrix-2715, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4466) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4467), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4466), _u4468), _u4469))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4466), _u4467), _u4469)), _u4468)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), c_Groups_Ozero__class_Ozero(_u4466)), _u4469)) )).
% 20.36/20.60 cnf(matrix-2716, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4466) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4467), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4466), _u4468), _u4469))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4466), _u4467), _u4469)), _u4468)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4469), c_Groups_Ozero__class_Ozero(_u4466))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4467), c_Groups_Ozero__class_Ozero(_u4466))) )).
% 20.36/20.60 cnf(matrix-2717, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4466) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4467), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4466), _u4468), _u4469))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4466), _u4467), _u4469)), _u4468)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4468), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4466), _u4467), _u4469))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4469), c_Groups_Ozero__class_Ozero(_u4466))) )).
% 20.36/20.60 cnf(matrix-2718, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4466) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4467), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4466), _u4468), _u4469))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4466), _u4467), _u4469)), _u4468)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4468), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4466), _u4467), _u4469))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4467), c_Groups_Ozero__class_Ozero(_u4466))) )).
% 20.36/20.60 cnf(matrix-2719, plain, ( ~class_Fields_Ofield__inverse__zero(_u4470) | ( _u4471 = c_Groups_Ozero__class_Ozero(_u4470)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4470), _u4472), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4470), _u4473), _u4471)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4470), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4470), _u4473), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4470), _u4472), _u4471))), _u4471)) )).
% 20.36/20.60 cnf(matrix-2720, plain, ( ~class_Fields_Ofield(_u4474) | ( _u4475 = c_Groups_Ozero__class_Ozero(_u4474)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4474), _u4476), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4474), _u4477), _u4475)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4474), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4474), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4474), _u4475), _u4476)), _u4477)), _u4475)) )).
% 20.36/20.60 cnf(matrix-2721, plain, ( ~class_Fields_Ofield__inverse__zero(_u4478) | ( _u4479 = c_Groups_Ozero__class_Ozero(_u4478)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4478), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4478), _u4480), _u4479)), _u4481) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4478), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4478), _u4480), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4478), _u4481), _u4479))), _u4479)) )).
% 20.36/20.60 cnf(matrix-2722, plain, ( ~class_Fields_Ofield(_u4482) | ( _u4483 = c_Groups_Ozero__class_Ozero(_u4482)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4482), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4482), _u4484), _u4483)), _u4485) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4482), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4482), _u4484), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4482), _u4483), _u4485))), _u4483)) )).
% 20.36/20.60 cnf(matrix-2723, plain, ( ~class_Fields_Ofield(_u4486) | ( _u4487 = c_Groups_Ozero__class_Ozero(_u4486)) | ( _u4488 = c_Groups_Ozero__class_Ozero(_u4486)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4486), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4486), _u4489), _u4487)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4486), _u4490), _u4488)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4486), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4486), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4486), _u4489), _u4488)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4486), _u4490), _u4487))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4486), _u4487), _u4488))) )).
% 20.36/20.60 cnf(matrix-2724, plain, ( ~class_Fields_Ofield(_u4491) | ( _u4492 = c_Groups_Ozero__class_Ozero(_u4491)) | ( _u4493 = c_Groups_Ozero__class_Ozero(_u4491)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4491), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4491), _u4494), _u4492)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4491), _u4495), _u4493)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4491), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4491), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4491), _u4494), _u4493)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4491), _u4495), _u4492))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4491), _u4492), _u4493))) )).
% 20.36/20.60 cnf(matrix-2725, plain, ( ~class_Fields_Ofield(_u4496) | ( _u4497 = c_Groups_Ozero__class_Ozero(_u4496)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4496), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4496), _u4498), _u4497)), _u4499) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4496), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4496), _u4498), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4496), _u4497), _u4499))), _u4497)) )).
% 20.36/20.60 cnf(matrix-2726, plain, ( ~class_Fields_Ofield(_u4500) | ( _u4501 = c_Groups_Ozero__class_Ozero(_u4500)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4500), _u4502), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4500), _u4503), _u4501)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4500), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4500), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4500), _u4501), _u4502)), _u4503)), _u4501)) )).
% 20.36/20.60 cnf(matrix-2727, plain, ( ~class_Fields_Olinordered__field(_u4504) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4504), _u4505), _u4506)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4504), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4504), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4504), _u4505), _u4506)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4504), c_Groups_Oone__class_Oone(_u4504)), c_Groups_Oone__class_Oone(_u4504)))), _u4506)) )).
% 20.36/20.60 cnf(matrix-2728, plain, ( ~class_Fields_Olinordered__field(_u4507) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4507), _u4508), _u4509)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4507), _u4508), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4507), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4507), _u4508), _u4509)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4507), c_Groups_Oone__class_Oone(_u4507)), c_Groups_Oone__class_Oone(_u4507))))) )).
% 20.36/20.60 cnf(matrix-2729, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4510) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4510), _u4511), _u4512)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4510), _u4513), c_Groups_Ozero__class_Ozero(_u4510))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4510), c_Groups_Ozero__class_Ozero(_u4510)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4510), _u4511), _u4512))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4510), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4510), _u4513), _u4511)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4510), _u4513), _u4512))) )).
% 20.36/20.60 cnf(matrix-2730, plain, ( ~class_Fields_Olinordered__field(_u4514) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4514), _u4515), _u4516)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4514), c_Groups_Ozero__class_Ozero(_u4514)), _u4517)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4514), c_Groups_Ozero__class_Ozero(_u4514)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4514), _u4516), _u4515))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4514), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4514), _u4517), _u4516)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4514), _u4517), _u4515))) )).
% 20.36/20.60 cnf(matrix-2731, plain, ( ~class_Fields_Olinordered__field(_u4518) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4518), _u4519), c_Groups_Ozero__class_Ozero(_u4518))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4518), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4518), _u4520), _u4519)), _u4521)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4518), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4518), _u4521), _u4519)), _u4520)) )).
% 20.36/20.60 cnf(matrix-2732, plain, ( ~class_Fields_Olinordered__field(_u4518) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4518), _u4519), c_Groups_Ozero__class_Ozero(_u4518))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4518), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4518), _u4521), _u4519)), _u4520)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4518), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4518), _u4520), _u4519)), _u4521)) )).
% 20.36/20.60 cnf(matrix-2733, plain, ( ~class_Fields_Ofield(_u4523) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4524), _u4525)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4524), _u4526)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4524, _u4523), _u4527), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4524, tc_HOL_Obool)), _u4525), _u4526)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4523), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4523), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4524, _u4523), _u4527), _u4525)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4524, _u4523), _u4527), _u4526))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4524, _u4523), _u4527), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4524, tc_HOL_Obool)), _u4525), _u4526)))) | hBOOL(hAPP(hAPP(c_member(_u4524), skolem93(_u4527, _u4526, _u4525, _u4524, _u4523)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4524, tc_HOL_Obool)), _u4525), _u4526))) )).
% 20.36/20.60 cnf(matrix-2734, plain, ( ~class_Fields_Ofield(_u4523) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4524), _u4525)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4524), _u4526)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4524, _u4523), _u4527), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4524, tc_HOL_Obool)), _u4525), _u4526)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4523), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4523), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4524, _u4523), _u4527), _u4525)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4524, _u4523), _u4527), _u4526))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4524, _u4523), _u4527), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4524, tc_HOL_Obool)), _u4525), _u4526)))) | ( hAPP(_u4527, skolem93(_u4527, _u4526, _u4525, _u4524, _u4523)) = c_Groups_Ozero__class_Ozero(_u4523)) )).
% 20.36/20.60 cnf(matrix-2735, plain, ( ~class_Groups_Ocomm__monoid__add(_u4529) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4530), _u4531)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4530, tc_HOL_Obool)), _u4532), _u4531)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4530, _u4529), _u4533), _u4532) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4530, _u4529), _u4533), _u4531)) | hBOOL(hAPP(hAPP(c_member(_u4530), skolem94(_u4533, _u4532, _u4531, _u4530, _u4529)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4530, tc_HOL_Obool)), _u4531), _u4532))) )).
% 20.36/20.60 cnf(matrix-2736, plain, ( ~class_Groups_Ocomm__monoid__add(_u4529) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4530), _u4531)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4530, tc_HOL_Obool)), _u4532), _u4531)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4530, _u4529), _u4533), _u4532) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4530, _u4529), _u4533), _u4531)) | ( hAPP(_u4533, skolem94(_u4533, _u4532, _u4531, _u4530, _u4529)) != c_Groups_Ozero__class_Ozero(_u4529)) )).
% 20.36/20.60 cnf(matrix-2737, plain, ( ~class_Groups_Ocomm__monoid__add(_u4535) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4536), _u4537)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4536, tc_HOL_Obool)), _u4538), _u4537)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4536, _u4535), _u4539), _u4537) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4536, _u4535), _u4539), _u4538)) | hBOOL(hAPP(hAPP(c_member(_u4536), skolem95(_u4539, _u4538, _u4537, _u4536, _u4535)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4536, tc_HOL_Obool)), _u4537), _u4538))) )).
% 20.36/20.60 cnf(matrix-2738, plain, ( ~class_Groups_Ocomm__monoid__add(_u4535) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4536), _u4537)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4536, tc_HOL_Obool)), _u4538), _u4537)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4536, _u4535), _u4539), _u4537) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4536, _u4535), _u4539), _u4538)) | ( hAPP(_u4539, skolem95(_u4539, _u4538, _u4537, _u4536, _u4535)) != c_Groups_Ozero__class_Ozero(_u4535)) )).
% 20.36/20.60 cnf(matrix-2739, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4541) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4541), _u4542), _u4543)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4541), c_Groups_Ozero__class_Ozero(_u4541)), skolem96(_u4543, _u4542, _u4541))) )).
% 20.36/20.60 cnf(matrix-2740, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4541) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4541), _u4542), _u4543)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4541), skolem96(_u4543, _u4542, _u4541)), c_Groups_Oone__class_Oone(_u4541))) )).
% 20.36/20.60 cnf(matrix-2741, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4541) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4541), _u4542), _u4543)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4541), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4541), skolem96(_u4543, _u4542, _u4541)), _u4542)), _u4543)) )).
% 20.36/20.60 cnf(matrix-2742, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4545), _u4546)) | 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(_u4545, tc_Nat_Onat), _u4547), _u4546))) | hBOOL(hAPP(hAPP(c_member(_u4545), skolem97(_u4547, _u4546, _u4545)), _u4546)) )).
% 20.36/20.60 cnf(matrix-2743, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4545), _u4546)) | 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(_u4545, tc_Nat_Onat), _u4547), _u4546))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u4547, skolem97(_u4547, _u4546, _u4545)))) )).
% 20.36/20.60 cnf(matrix-2744, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4549, tc_Nat_Onat), _u4550), _u4551) != hAPP(c_Nat_OSuc, _u4552)) | hBOOL(hAPP(hAPP(c_member(_u4549), skolem98(_u4552, _u4551, _u4550, _u4549)), _u4551)) )).
% 20.36/20.60 cnf(matrix-2745, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4549, tc_Nat_Onat), _u4550), _u4551) != hAPP(c_Nat_OSuc, _u4552)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u4550, skolem98(_u4552, _u4551, _u4550, _u4549)))) )).
% 20.36/20.60 cnf(matrix-2746, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OCond(_u4553, _u4554, _u4555)) = 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(_u4554)), c_Com_Ocom_Ocom__size(_u4555))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 20.36/20.60 cnf(matrix-2747, plain, ( ( c_Com_Ocom_OCond(_u4562, _u4564, _u4566) != c_Com_Ocom_OCond(_u4568, _u4570, _u4572)) | ( _u4562 = _u4568) )).
% 20.36/20.60 cnf(matrix-2748, plain, ( ( c_Com_Ocom_OCond(_u4562, _u4564, _u4566) != c_Com_Ocom_OCond(_u4568, _u4570, _u4572)) | ( _u4564 = _u4570) )).
% 20.36/20.60 cnf(matrix-2749, plain, ( ( c_Com_Ocom_OCond(_u4562, _u4564, _u4566) != c_Com_Ocom_OCond(_u4568, _u4570, _u4572)) | ( _u4566 = _u4572) )).
% 20.36/20.60 cnf(matrix-2750, plain, ( ( _u4563 != _u4569) | ( _u4565 != _u4571) | ( _u4567 != _u4573) | ( c_Com_Ocom_OCond(_u4563, _u4565, _u4567) = c_Com_Ocom_OCond(_u4569, _u4571, _u4573)) )).
% 20.36/20.60 cnf(matrix-2751, plain, ( ( c_Com_Ocom_OCond(_u4574, _u4575, _u4576) != c_Com_Ocom_OSemi(_u4577, _u4578)) )).
% 20.36/20.60 cnf(matrix-2752, plain, ( ( c_Com_Ocom_OSemi(_u4579, _u4580) != c_Com_Ocom_OCond(_u4581, _u4582, _u4583)) )).
% 20.36/20.60 cnf(matrix-2753, plain, ( ( c_Com_Ocom_OCond(_u4584, _u4585, _u4586) != c_Com_Ocom_OSKIP) )).
% 20.36/20.60 cnf(matrix-2754, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(_u4587, _u4588, _u4589)) )).
% 20.36/20.60 cnf(matrix-2755, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OCond(_u4590, _u4591, _u4592)) = 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), _u4591)), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u4592))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 20.36/20.60 cnf(matrix-2756, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4594), _u4595)) | ( hAPP(c_Finite__Set_Ocard(_u4594), _u4595) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u4594), skolem99(_u4595, _u4594)), _u4595)) )).
% 20.36/20.60 cnf(matrix-2757, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4594), _u4595)) | ( hAPP(c_Finite__Set_Ocard(_u4594), _u4595) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2758, plain, ( ~class_Orderings_Olinorder(_u4597) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4597), _u4598)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4597), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4597), _u4599), _u4600)), hAPP(hAPP(c_Finite__Set_Ofold(_u4597, _u4597, c_Orderings_Oord__class_Omin(_u4597)), _u4600), _u4598))) | hBOOL(hAPP(hAPP(c_member(_u4597), skolem100(_u4600, _u4599, _u4598, _u4597)), _u4598)) )).
% 20.36/20.60 cnf(matrix-2759, plain, ( ~class_Orderings_Olinorder(_u4597) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4597), _u4598)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4597), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4597), _u4599), _u4600)), hAPP(hAPP(c_Finite__Set_Ofold(_u4597, _u4597, c_Orderings_Oord__class_Omin(_u4597)), _u4600), _u4598))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4597), _u4599), skolem100(_u4600, _u4599, _u4598, _u4597))) )).
% 20.36/20.60 cnf(matrix-2760, plain, ( ~class_Groups_Oab__semigroup__mult(_u4602) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4603), _u4604)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4602, _u4603, c_Groups_Otimes__class_Otimes(_u4602)), _u4605), _u4607), _u4604) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4602, _u4603, c_Groups_Otimes__class_Otimes(_u4602)), _u4606), _u4607), _u4604)) | hBOOL(hAPP(hAPP(c_member(_u4603), skolem101(_u4607, _u4606, _u4605, _u4604, _u4603, _u4602)), _u4604)) )).
% 20.36/20.60 cnf(matrix-2761, plain, ( ~class_Groups_Oab__semigroup__mult(_u4602) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4603), _u4604)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4602, _u4603, c_Groups_Otimes__class_Otimes(_u4602)), _u4605), _u4607), _u4604) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4602, _u4603, c_Groups_Otimes__class_Otimes(_u4602)), _u4606), _u4607), _u4604)) | ( hAPP(_u4605, skolem101(_u4607, _u4606, _u4605, _u4604, _u4603, _u4602)) != hAPP(_u4606, skolem101(_u4607, _u4606, _u4605, _u4604, _u4603, _u4602))) )).
% 20.36/20.60 cnf(matrix-2762, plain, ( ~class_Orderings_Olinorder(_u4609) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4609), _u4610)) | ~hBOOL(hAPP(hAPP(c_member(_u4609), _u4611), _u4610)) | ( c_Big__Operators_Olinorder__class_OMin(_u4609, _u4610) = _u4611) | hBOOL(hAPP(hAPP(c_member(_u4609), skolem102(_u4611, _u4610, _u4609)), _u4610)) )).
% 20.36/20.60 cnf(matrix-2763, plain, ( ~class_Orderings_Olinorder(_u4609) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4609), _u4610)) | ~hBOOL(hAPP(hAPP(c_member(_u4609), _u4611), _u4610)) | ( c_Big__Operators_Olinorder__class_OMin(_u4609, _u4610) = _u4611) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4609), _u4611), skolem102(_u4611, _u4610, _u4609))) )).
% 20.36/20.60 cnf(matrix-2764, plain, ( ~class_Lattices_Osemilattice__inf(_u4613) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4613), _u4614)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4613), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4613), _u4615), _u4616)), hAPP(hAPP(c_Finite__Set_Ofold(_u4613, _u4613, c_Lattices_Osemilattice__inf__class_Oinf(_u4613)), _u4616), _u4614))) | hBOOL(hAPP(hAPP(c_member(_u4613), skolem103(_u4616, _u4615, _u4614, _u4613)), _u4614)) )).
% 20.36/20.60 cnf(matrix-2765, plain, ( ~class_Lattices_Osemilattice__inf(_u4613) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4613), _u4614)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4613), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4613), _u4615), _u4616)), hAPP(hAPP(c_Finite__Set_Ofold(_u4613, _u4613, c_Lattices_Osemilattice__inf__class_Oinf(_u4613)), _u4616), _u4614))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4613), _u4615), skolem103(_u4616, _u4615, _u4614, _u4613))) )).
% 20.36/20.60 cnf(matrix-2766, plain, ( ~class_Lattices_Osemilattice__sup(_u4618) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4618), _u4619)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4618), hAPP(hAPP(c_Finite__Set_Ofold(_u4618, _u4618, c_Lattices_Osemilattice__sup__class_Osup(_u4618)), _u4621), _u4619)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4618), _u4620), _u4621))) | hBOOL(hAPP(hAPP(c_member(_u4618), skolem104(_u4621, _u4620, _u4619, _u4618)), _u4619)) )).
% 20.36/20.60 cnf(matrix-2767, plain, ( ~class_Lattices_Osemilattice__sup(_u4618) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4618), _u4619)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4618), hAPP(hAPP(c_Finite__Set_Ofold(_u4618, _u4618, c_Lattices_Osemilattice__sup__class_Osup(_u4618)), _u4621), _u4619)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4618), _u4620), _u4621))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4618), skolem104(_u4621, _u4620, _u4619, _u4618)), _u4620)) )).
% 20.36/20.60 cnf(matrix-2768, 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), _u4622))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4622) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4622)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 20.36/20.60 cnf(matrix-2769, plain, ( ~class_Int_Onumber__ring(_u4623) | ~class_Int_Oring__char__0(_u4623) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4623), _u4624) != hAPP(c_Int_Onumber__class_Onumber__of(_u4623), _u4625)) | ( _u4624 = _u4625) )).
% 20.36/20.60 cnf(matrix-2770, plain, ( ~class_Int_Onumber__ring(_u4623) | ~class_Int_Oring__char__0(_u4623) | ( _u4624 != _u4625) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4623), _u4624) = hAPP(c_Int_Onumber__class_Onumber__of(_u4623), _u4625)) )).
% 20.36/20.60 cnf(matrix-2771, plain, ( ~class_Int_Onumber(_u4626) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4626), _u4627) != _u4628) | ( _u4628 = hAPP(c_Int_Onumber__class_Onumber__of(_u4626), _u4627)) )).
% 20.36/20.60 cnf(matrix-2772, plain, ( ~class_Int_Onumber(_u4626) | ( _u4628 != hAPP(c_Int_Onumber__class_Onumber__of(_u4626), _u4627)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4626), _u4627) = _u4628) )).
% 20.36/20.60 cnf(matrix-2773, plain, ( ~class_Int_Onumber__ring(_u4629) | ~class_Rings_Olinordered__idom(_u4629) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4629), hAPP(c_Int_Onumber__class_Onumber__of(_u4629), _u4630)), hAPP(c_Int_Onumber__class_Onumber__of(_u4629), _u4631))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4630), _u4631)) )).
% 20.36/20.60 cnf(matrix-2774, plain, ( ~class_Int_Onumber__ring(_u4629) | ~class_Rings_Olinordered__idom(_u4629) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4630), _u4631)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4629), hAPP(c_Int_Onumber__class_Onumber__of(_u4629), _u4630)), hAPP(c_Int_Onumber__class_Onumber__of(_u4629), _u4631))) )).
% 20.36/20.60 cnf(matrix-2775, plain, ( ~class_Int_Onumber__ring(_u4632) | ~class_Rings_Olinordered__idom(_u4632) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4632), hAPP(c_Int_Onumber__class_Onumber__of(_u4632), _u4633)), hAPP(c_Int_Onumber__class_Onumber__of(_u4632), _u4634))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4633), _u4634)) )).
% 20.36/20.60 cnf(matrix-2776, plain, ( ~class_Int_Onumber__ring(_u4632) | ~class_Rings_Olinordered__idom(_u4632) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4633), _u4634)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4632), hAPP(c_Int_Onumber__class_Onumber__of(_u4632), _u4633)), hAPP(c_Int_Onumber__class_Onumber__of(_u4632), _u4634))) )).
% 20.36/20.60 cnf(matrix-2777, plain, ( ~class_Int_Onumber__ring(_u4635) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4635), hAPP(c_Int_Onumber__class_Onumber__of(_u4635), _u4636)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4635), hAPP(c_Int_Onumber__class_Onumber__of(_u4635), _u4637)), _u4638)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4635), hAPP(c_Int_Onumber__class_Onumber__of(_u4635), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4636), _u4637))), _u4638)) )).
% 20.36/20.60 cnf(matrix-2778, plain, ( ~class_Int_Onumber__ring(_u4639) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4639), hAPP(c_Int_Onumber__class_Onumber__of(_u4639), _u4640)), hAPP(c_Int_Onumber__class_Onumber__of(_u4639), _u4641)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4639), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4640), _u4641))) )).
% 20.36/20.60 cnf(matrix-2779, plain, ( ~class_Int_Onumber__ring(_u4642) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4642), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4643), _u4644)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4642), hAPP(c_Int_Onumber__class_Onumber__of(_u4642), _u4643)), hAPP(c_Int_Onumber__class_Onumber__of(_u4642), _u4644))) )).
% 20.36/20.60 cnf(matrix-2780, plain, ( ~class_Int_Onumber__ring(_u4645) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4645), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4646), _u4647)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4645), hAPP(c_Int_Onumber__class_Onumber__of(_u4645), _u4646)), hAPP(c_Int_Onumber__class_Onumber__of(_u4645), _u4647))) )).
% 20.36/20.60 cnf(matrix-2781, plain, ( ~class_Int_Onumber__ring(_u4648) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4648), hAPP(c_Int_Onumber__class_Onumber__of(_u4648), _u4649)), hAPP(c_Int_Onumber__class_Onumber__of(_u4648), _u4650)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4648), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4649), _u4650))) )).
% 20.36/20.60 cnf(matrix-2782, plain, ( ~class_Int_Onumber__ring(_u4651) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4651), hAPP(c_Int_Onumber__class_Onumber__of(_u4651), _u4652)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4651), hAPP(c_Int_Onumber__class_Onumber__of(_u4651), _u4653)), _u4654)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4651), hAPP(c_Int_Onumber__class_Onumber__of(_u4651), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4652), _u4653))), _u4654)) )).
% 20.36/20.60 cnf(matrix-2783, plain, ( ~class_Int_Onumber__ring(_u4655) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4655), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4656), _u4657)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4655), hAPP(c_Int_Onumber__class_Onumber__of(_u4655), _u4656)), hAPP(c_Int_Onumber__class_Onumber__of(_u4655), _u4657))) )).
% 20.36/20.60 cnf(matrix-2784, plain, ( ~class_Int_Onumber(_u4658) | ~class_Orderings_Olinorder(_u4658) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4658), hAPP(c_Int_Onumber__class_Onumber__of(_u4658), _u4659)), hAPP(c_Int_Onumber__class_Onumber__of(_u4658), _u4660))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4658), hAPP(c_Int_Onumber__class_Onumber__of(_u4658), _u4660)), hAPP(c_Int_Onumber__class_Onumber__of(_u4658), _u4659))) )).
% 20.36/20.60 cnf(matrix-2785, plain, ( ~class_Int_Onumber(_u4658) | ~class_Orderings_Olinorder(_u4658) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4658), hAPP(c_Int_Onumber__class_Onumber__of(_u4658), _u4660)), hAPP(c_Int_Onumber__class_Onumber__of(_u4658), _u4659))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4658), hAPP(c_Int_Onumber__class_Onumber__of(_u4658), _u4659)), hAPP(c_Int_Onumber__class_Onumber__of(_u4658), _u4660))) )).
% 20.36/20.60 cnf(matrix-2786, plain, ( ~class_Int_Onumber(_u4661) | ~class_Rings_Osemiring(_u4661) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4661), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4661), _u4662), _u4663)), hAPP(c_Int_Onumber__class_Onumber__of(_u4661), _u4664)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4661), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4661), _u4662), hAPP(c_Int_Onumber__class_Onumber__of(_u4661), _u4664))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4661), _u4663), hAPP(c_Int_Onumber__class_Onumber__of(_u4661), _u4664)))) )).
% 20.36/20.60 cnf(matrix-2787, plain, ( ~class_Int_Onumber(_u4665) | ~class_Rings_Osemiring(_u4665) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4665), hAPP(c_Int_Onumber__class_Onumber__of(_u4665), _u4666)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4665), _u4667), _u4668)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4665), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4665), hAPP(c_Int_Onumber__class_Onumber__of(_u4665), _u4666)), _u4667)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4665), hAPP(c_Int_Onumber__class_Onumber__of(_u4665), _u4666)), _u4668))) )).
% 20.36/20.60 cnf(matrix-2788, plain, ( ~class_Int_Onumber__ring(_u4669) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4669), hAPP(c_Int_Onumber__class_Onumber__of(_u4669), _u4670)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4669), hAPP(c_Int_Onumber__class_Onumber__of(_u4669), _u4671)), _u4672)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4669), hAPP(c_Int_Onumber__class_Onumber__of(_u4669), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4670), _u4671))), _u4672)) )).
% 20.36/20.60 cnf(matrix-2789, plain, ( ~class_Int_Onumber(_u4673) | ~class_Rings_Oring(_u4673) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4673), hAPP(c_Int_Onumber__class_Onumber__of(_u4673), _u4674)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4673), _u4675), _u4676)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4673), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4673), hAPP(c_Int_Onumber__class_Onumber__of(_u4673), _u4674)), _u4675)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4673), hAPP(c_Int_Onumber__class_Onumber__of(_u4673), _u4674)), _u4676))) )).
% 20.36/20.60 cnf(matrix-2790, plain, ( ~class_Int_Onumber(_u4677) | ~class_Rings_Oring(_u4677) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4677), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4677), _u4678), _u4679)), hAPP(c_Int_Onumber__class_Onumber__of(_u4677), _u4680)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4677), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4677), _u4678), hAPP(c_Int_Onumber__class_Onumber__of(_u4677), _u4680))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4677), _u4679), hAPP(c_Int_Onumber__class_Onumber__of(_u4677), _u4680)))) )).
% 20.36/20.60 cnf(matrix-2791, plain, ( ~class_Int_Onumber(_u4681) | ~class_Orderings_Oord(_u4681) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4681), hAPP(c_Int_Onumber__class_Onumber__of(_u4681), _u4682)), hAPP(c_Int_Onumber__class_Onumber__of(_u4681), _u4683))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4681), hAPP(c_Int_Onumber__class_Onumber__of(_u4681), _u4682)), hAPP(c_Int_Onumber__class_Onumber__of(_u4681), _u4683)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4681), _u4682)) )).
% 20.36/20.60 cnf(matrix-2792, plain, ( ~class_Int_Onumber(_u4681) | ~class_Orderings_Oord(_u4681) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4681), hAPP(c_Int_Onumber__class_Onumber__of(_u4681), _u4682)), hAPP(c_Int_Onumber__class_Onumber__of(_u4681), _u4683))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4681), hAPP(c_Int_Onumber__class_Onumber__of(_u4681), _u4682)), hAPP(c_Int_Onumber__class_Onumber__of(_u4681), _u4683)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4681), _u4683)) )).
% 20.36/20.60 cnf(matrix-2793, plain, ( ~class_Int_Onumber__ring(_u4684) | hBOOL(hAPP(hAPP(c_member(_u4684), hAPP(c_Int_Onumber__class_Onumber__of(_u4684), _u4685)), c_Int_Oring__1__class_OInts(_u4684))) )).
% 20.36/20.60 cnf(matrix-2794, plain, ( ~class_Fields_Ofield__inverse__zero(_u4686) | ~class_Int_Onumber(_u4686) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4686), _u4687), hAPP(c_Int_Onumber__class_Onumber__of(_u4686), _u4688)) != _u4689) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4686), _u4688) = c_Groups_Ozero__class_Ozero(_u4686)) | ( _u4687 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4686), _u4689), hAPP(c_Int_Onumber__class_Onumber__of(_u4686), _u4688))) )).
% 20.36/20.60 cnf(matrix-2795, plain, ( ~class_Fields_Ofield__inverse__zero(_u4686) | ~class_Int_Onumber(_u4686) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4686), _u4687), hAPP(c_Int_Onumber__class_Onumber__of(_u4686), _u4688)) != _u4689) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4686), _u4688) != c_Groups_Ozero__class_Ozero(_u4686)) | ( _u4689 = c_Groups_Ozero__class_Ozero(_u4686)) )).
% 20.36/20.60 cnf(matrix-2796, plain, ( ~class_Fields_Ofield__inverse__zero(_u4686) | ~class_Int_Onumber(_u4686) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4686), _u4687), hAPP(c_Int_Onumber__class_Onumber__of(_u4686), _u4688)) = _u4689) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4686), _u4688) != c_Groups_Ozero__class_Ozero(_u4686)) | ( _u4689 != c_Groups_Ozero__class_Ozero(_u4686)) )).
% 20.36/20.60 cnf(matrix-2797, plain, ( ~class_Fields_Ofield__inverse__zero(_u4686) | ~class_Int_Onumber(_u4686) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4686), _u4687), hAPP(c_Int_Onumber__class_Onumber__of(_u4686), _u4688)) = _u4689) | ( _u4687 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4686), _u4689), hAPP(c_Int_Onumber__class_Onumber__of(_u4686), _u4688))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4686), _u4688) = c_Groups_Ozero__class_Ozero(_u4686)) )).
% 20.36/20.60 cnf(matrix-2798, plain, ( ~class_Fields_Ofield__inverse__zero(_u4686) | ~class_Int_Onumber(_u4686) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4686), _u4687), hAPP(c_Int_Onumber__class_Onumber__of(_u4686), _u4688)) = _u4689) | ( _u4687 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4686), _u4689), hAPP(c_Int_Onumber__class_Onumber__of(_u4686), _u4688))) | ( _u4689 != c_Groups_Ozero__class_Ozero(_u4686)) )).
% 20.36/20.60 cnf(matrix-2799, plain, ( ~class_Fields_Ofield__inverse__zero(_u4690) | ~class_Int_Onumber(_u4690) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4690), _u4691), _u4692) != hAPP(c_Int_Onumber__class_Onumber__of(_u4690), _u4693)) | ( _u4692 = c_Groups_Ozero__class_Ozero(_u4690)) | ( _u4691 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4690), hAPP(c_Int_Onumber__class_Onumber__of(_u4690), _u4693)), _u4692)) )).
% 20.36/20.60 cnf(matrix-2800, plain, ( ~class_Fields_Ofield__inverse__zero(_u4690) | ~class_Int_Onumber(_u4690) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4690), _u4691), _u4692) != hAPP(c_Int_Onumber__class_Onumber__of(_u4690), _u4693)) | ( _u4692 != c_Groups_Ozero__class_Ozero(_u4690)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4690), _u4693) = c_Groups_Ozero__class_Ozero(_u4690)) )).
% 20.36/20.60 cnf(matrix-2801, plain, ( ~class_Fields_Ofield__inverse__zero(_u4690) | ~class_Int_Onumber(_u4690) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4690), _u4691), _u4692) = hAPP(c_Int_Onumber__class_Onumber__of(_u4690), _u4693)) | ( _u4692 != c_Groups_Ozero__class_Ozero(_u4690)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4690), _u4693) != c_Groups_Ozero__class_Ozero(_u4690)) )).
% 20.36/20.60 cnf(matrix-2802, plain, ( ~class_Fields_Ofield__inverse__zero(_u4690) | ~class_Int_Onumber(_u4690) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4690), _u4691), _u4692) = hAPP(c_Int_Onumber__class_Onumber__of(_u4690), _u4693)) | ( _u4691 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4690), hAPP(c_Int_Onumber__class_Onumber__of(_u4690), _u4693)), _u4692)) | ( _u4692 = c_Groups_Ozero__class_Ozero(_u4690)) )).
% 20.36/20.60 cnf(matrix-2803, plain, ( ~class_Fields_Ofield__inverse__zero(_u4690) | ~class_Int_Onumber(_u4690) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4690), _u4691), _u4692) = hAPP(c_Int_Onumber__class_Onumber__of(_u4690), _u4693)) | ( _u4691 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4690), hAPP(c_Int_Onumber__class_Onumber__of(_u4690), _u4693)), _u4692)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4690), _u4693) != c_Groups_Ozero__class_Ozero(_u4690)) )).
% 20.36/20.60 cnf(matrix-2804, plain, ( ~class_Fields_Ofield__inverse__zero(_u4694) | ~class_Int_Onumber(_u4694) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4694), _u4695) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4694), _u4696), _u4697)) | ( _u4697 = c_Groups_Ozero__class_Ozero(_u4694)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4694), hAPP(c_Int_Onumber__class_Onumber__of(_u4694), _u4695)), _u4697) = _u4696) )).
% 20.36/20.60 cnf(matrix-2805, plain, ( ~class_Fields_Ofield__inverse__zero(_u4694) | ~class_Int_Onumber(_u4694) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4694), _u4695) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4694), _u4696), _u4697)) | ( _u4697 != c_Groups_Ozero__class_Ozero(_u4694)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4694), _u4695) = c_Groups_Ozero__class_Ozero(_u4694)) )).
% 20.36/20.60 cnf(matrix-2806, plain, ( ~class_Fields_Ofield__inverse__zero(_u4694) | ~class_Int_Onumber(_u4694) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4694), _u4695) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4694), _u4696), _u4697)) | ( _u4697 != c_Groups_Ozero__class_Ozero(_u4694)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4694), _u4695) != c_Groups_Ozero__class_Ozero(_u4694)) )).
% 20.36/20.60 cnf(matrix-2807, plain, ( ~class_Fields_Ofield__inverse__zero(_u4694) | ~class_Int_Onumber(_u4694) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4694), _u4695) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4694), _u4696), _u4697)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4694), hAPP(c_Int_Onumber__class_Onumber__of(_u4694), _u4695)), _u4697) != _u4696) | ( _u4697 = c_Groups_Ozero__class_Ozero(_u4694)) )).
% 20.36/20.60 cnf(matrix-2808, plain, ( ~class_Fields_Ofield__inverse__zero(_u4694) | ~class_Int_Onumber(_u4694) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4694), _u4695) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4694), _u4696), _u4697)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4694), hAPP(c_Int_Onumber__class_Onumber__of(_u4694), _u4695)), _u4697) != _u4696) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4694), _u4695) != c_Groups_Ozero__class_Ozero(_u4694)) )).
% 20.36/20.60 cnf(matrix-2809, plain, ( ~class_Fields_Ofield__inverse__zero(_u4698) | ~class_Int_Onumber(_u4698) | ( _u4699 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4698), _u4700), hAPP(c_Int_Onumber__class_Onumber__of(_u4698), _u4701))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4698), _u4701) = c_Groups_Ozero__class_Ozero(_u4698)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4698), _u4699), hAPP(c_Int_Onumber__class_Onumber__of(_u4698), _u4701)) = _u4700) )).
% 20.36/20.60 cnf(matrix-2810, plain, ( ~class_Fields_Ofield__inverse__zero(_u4698) | ~class_Int_Onumber(_u4698) | ( _u4699 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4698), _u4700), hAPP(c_Int_Onumber__class_Onumber__of(_u4698), _u4701))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4698), _u4701) != c_Groups_Ozero__class_Ozero(_u4698)) | ( _u4699 = c_Groups_Ozero__class_Ozero(_u4698)) )).
% 20.36/20.60 cnf(matrix-2811, plain, ( ~class_Fields_Ofield__inverse__zero(_u4698) | ~class_Int_Onumber(_u4698) | ( _u4699 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4698), _u4700), hAPP(c_Int_Onumber__class_Onumber__of(_u4698), _u4701))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4698), _u4701) != c_Groups_Ozero__class_Ozero(_u4698)) | ( _u4699 != c_Groups_Ozero__class_Ozero(_u4698)) )).
% 20.36/20.60 cnf(matrix-2812, plain, ( ~class_Fields_Ofield__inverse__zero(_u4698) | ~class_Int_Onumber(_u4698) | ( _u4699 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4698), _u4700), hAPP(c_Int_Onumber__class_Onumber__of(_u4698), _u4701))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4698), _u4699), hAPP(c_Int_Onumber__class_Onumber__of(_u4698), _u4701)) != _u4700) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4698), _u4701) = c_Groups_Ozero__class_Ozero(_u4698)) )).
% 20.36/20.60 cnf(matrix-2813, plain, ( ~class_Fields_Ofield__inverse__zero(_u4698) | ~class_Int_Onumber(_u4698) | ( _u4699 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4698), _u4700), hAPP(c_Int_Onumber__class_Onumber__of(_u4698), _u4701))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4698), _u4699), hAPP(c_Int_Onumber__class_Onumber__of(_u4698), _u4701)) != _u4700) | ( _u4699 != c_Groups_Ozero__class_Ozero(_u4698)) )).
% 20.36/20.60 cnf(matrix-2814, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4702) | ~class_Int_Onumber(_u4702) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4702), _u4703), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704))), _u4705)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), c_Groups_Ozero__class_Ozero(_u4702)), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), _u4703), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4702), _u4705), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704)))) )).
% 20.36/20.60 cnf(matrix-2815, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4702) | ~class_Int_Onumber(_u4702) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4702), _u4703), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704))), _u4705)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), c_Groups_Ozero__class_Ozero(_u4702)), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704)), c_Groups_Ozero__class_Ozero(_u4702))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4702), _u4705), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704))), _u4703)) )).
% 20.36/20.60 cnf(matrix-2816, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4702) | ~class_Int_Onumber(_u4702) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4702), _u4703), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704))), _u4705)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), c_Groups_Ozero__class_Ozero(_u4702)), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704)), c_Groups_Ozero__class_Ozero(_u4702))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), c_Groups_Ozero__class_Ozero(_u4702)), _u4705)) )).
% 20.36/20.60 cnf(matrix-2817, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4702) | ~class_Int_Onumber(_u4702) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4702), _u4703), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704))), _u4705)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), c_Groups_Ozero__class_Ozero(_u4702)), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704)), c_Groups_Ozero__class_Ozero(_u4702))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), c_Groups_Ozero__class_Ozero(_u4702)), _u4705)) )).
% 20.36/20.60 cnf(matrix-2818, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4702) | ~class_Int_Onumber(_u4702) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4702), _u4703), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704))), _u4705)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), c_Groups_Ozero__class_Ozero(_u4702)), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4702), _u4705), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704))), _u4703)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704)), c_Groups_Ozero__class_Ozero(_u4702))) )).
% 20.36/20.60 cnf(matrix-2819, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4702) | ~class_Int_Onumber(_u4702) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4702), _u4703), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704))), _u4705)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), c_Groups_Ozero__class_Ozero(_u4702)), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4702), _u4705), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704))), _u4703)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), c_Groups_Ozero__class_Ozero(_u4702)), _u4705)) )).
% 20.36/20.60 cnf(matrix-2820, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4702) | ~class_Int_Onumber(_u4702) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4702), _u4703), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704))), _u4705)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), _u4703), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4702), _u4705), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), c_Groups_Ozero__class_Ozero(_u4702)), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704))) )).
% 20.36/20.60 cnf(matrix-2821, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4702) | ~class_Int_Onumber(_u4702) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4702), _u4703), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704))), _u4705)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), _u4703), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4702), _u4705), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704)), c_Groups_Ozero__class_Ozero(_u4702))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), c_Groups_Ozero__class_Ozero(_u4702)), _u4705)) )).
% 20.36/20.60 cnf(matrix-2822, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4702) | ~class_Int_Onumber(_u4702) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4702), _u4703), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704))), _u4705)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), _u4703), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4702), _u4705), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4702), _u4705), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704))), _u4703)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704)), c_Groups_Ozero__class_Ozero(_u4702))) )).
% 20.36/20.60 cnf(matrix-2823, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4702) | ~class_Int_Onumber(_u4702) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4702), _u4703), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704))), _u4705)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), _u4703), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4702), _u4705), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4702), _u4705), hAPP(c_Int_Onumber__class_Onumber__of(_u4702), _u4704))), _u4703)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4702), c_Groups_Ozero__class_Ozero(_u4702)), _u4705)) )).
% 20.36/20.60 cnf(matrix-2824, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4706) | ~class_Int_Onumber(_u4706) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4706), _u4707), _u4708)), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), c_Groups_Ozero__class_Ozero(_u4706)), _u4708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), _u4707), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4706), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709)), _u4708))) )).
% 20.36/20.60 cnf(matrix-2825, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4706) | ~class_Int_Onumber(_u4706) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4706), _u4707), _u4708)), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), c_Groups_Ozero__class_Ozero(_u4706)), _u4708)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), _u4708), c_Groups_Ozero__class_Ozero(_u4706))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4706), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709)), _u4708)), _u4707)) )).
% 20.36/20.60 cnf(matrix-2826, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4706) | ~class_Int_Onumber(_u4706) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4706), _u4707), _u4708)), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), c_Groups_Ozero__class_Ozero(_u4706)), _u4708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), _u4708), c_Groups_Ozero__class_Ozero(_u4706))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), c_Groups_Ozero__class_Ozero(_u4706)), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709))) )).
% 20.36/20.60 cnf(matrix-2827, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4706) | ~class_Int_Onumber(_u4706) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4706), _u4707), _u4708)), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), c_Groups_Ozero__class_Ozero(_u4706)), _u4708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), _u4708), c_Groups_Ozero__class_Ozero(_u4706))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), c_Groups_Ozero__class_Ozero(_u4706)), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709))) )).
% 20.36/20.60 cnf(matrix-2828, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4706) | ~class_Int_Onumber(_u4706) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4706), _u4707), _u4708)), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), c_Groups_Ozero__class_Ozero(_u4706)), _u4708)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4706), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709)), _u4708)), _u4707)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), _u4708), c_Groups_Ozero__class_Ozero(_u4706))) )).
% 20.36/20.60 cnf(matrix-2829, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4706) | ~class_Int_Onumber(_u4706) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4706), _u4707), _u4708)), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), c_Groups_Ozero__class_Ozero(_u4706)), _u4708)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4706), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709)), _u4708)), _u4707)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), c_Groups_Ozero__class_Ozero(_u4706)), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709))) )).
% 20.36/20.60 cnf(matrix-2830, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4706) | ~class_Int_Onumber(_u4706) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4706), _u4707), _u4708)), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), _u4707), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4706), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709)), _u4708))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), c_Groups_Ozero__class_Ozero(_u4706)), _u4708)) )).
% 20.36/20.60 cnf(matrix-2831, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4706) | ~class_Int_Onumber(_u4706) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4706), _u4707), _u4708)), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), _u4707), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4706), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709)), _u4708))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), _u4708), c_Groups_Ozero__class_Ozero(_u4706))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), c_Groups_Ozero__class_Ozero(_u4706)), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709))) )).
% 20.36/20.60 cnf(matrix-2832, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4706) | ~class_Int_Onumber(_u4706) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4706), _u4707), _u4708)), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), _u4707), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4706), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709)), _u4708))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4706), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709)), _u4708)), _u4707)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), _u4708), c_Groups_Ozero__class_Ozero(_u4706))) )).
% 20.36/20.60 cnf(matrix-2833, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4706) | ~class_Int_Onumber(_u4706) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4706), _u4707), _u4708)), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), _u4707), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4706), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709)), _u4708))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4706), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709)), _u4708)), _u4707)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4706), c_Groups_Ozero__class_Ozero(_u4706)), hAPP(c_Int_Onumber__class_Onumber__of(_u4706), _u4709))) )).
% 20.36/20.60 cnf(matrix-2834, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4710) | ~class_Int_Onumber(_u4710) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4710), _u4712), _u4713))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), c_Groups_Ozero__class_Ozero(_u4710)), _u4713)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), _u4713)), _u4712)) )).
% 20.36/20.60 cnf(matrix-2835, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4710) | ~class_Int_Onumber(_u4710) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4710), _u4712), _u4713))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), c_Groups_Ozero__class_Ozero(_u4710)), _u4713)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), _u4713), c_Groups_Ozero__class_Ozero(_u4710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), _u4712), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), _u4713))) )).
% 20.36/20.60 cnf(matrix-2836, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4710) | ~class_Int_Onumber(_u4710) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4710), _u4712), _u4713))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), c_Groups_Ozero__class_Ozero(_u4710)), _u4713)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), _u4713), c_Groups_Ozero__class_Ozero(_u4710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), c_Groups_Ozero__class_Ozero(_u4710))) )).
% 20.36/20.60 cnf(matrix-2837, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4710) | ~class_Int_Onumber(_u4710) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4710), _u4712), _u4713))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), c_Groups_Ozero__class_Ozero(_u4710)), _u4713)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), _u4713), c_Groups_Ozero__class_Ozero(_u4710))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), c_Groups_Ozero__class_Ozero(_u4710))) )).
% 20.36/20.60 cnf(matrix-2838, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4710) | ~class_Int_Onumber(_u4710) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4710), _u4712), _u4713))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), c_Groups_Ozero__class_Ozero(_u4710)), _u4713)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), _u4712), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), _u4713))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), _u4713), c_Groups_Ozero__class_Ozero(_u4710))) )).
% 20.36/20.60 cnf(matrix-2839, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4710) | ~class_Int_Onumber(_u4710) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4710), _u4712), _u4713))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), c_Groups_Ozero__class_Ozero(_u4710)), _u4713)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), _u4712), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), _u4713))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), c_Groups_Ozero__class_Ozero(_u4710))) )).
% 20.36/20.60 cnf(matrix-2840, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4710) | ~class_Int_Onumber(_u4710) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4710), _u4712), _u4713))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), _u4713)), _u4712)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), c_Groups_Ozero__class_Ozero(_u4710)), _u4713)) )).
% 20.36/20.60 cnf(matrix-2841, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4710) | ~class_Int_Onumber(_u4710) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4710), _u4712), _u4713))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), _u4713)), _u4712)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), _u4713), c_Groups_Ozero__class_Ozero(_u4710))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), c_Groups_Ozero__class_Ozero(_u4710))) )).
% 20.36/20.60 cnf(matrix-2842, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4710) | ~class_Int_Onumber(_u4710) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4710), _u4712), _u4713))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), _u4713)), _u4712)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), _u4712), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), _u4713))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), _u4713), c_Groups_Ozero__class_Ozero(_u4710))) )).
% 20.36/20.60 cnf(matrix-2843, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4710) | ~class_Int_Onumber(_u4710) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4710), _u4712), _u4713))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), _u4713)), _u4712)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), _u4712), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), _u4713))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4710), hAPP(c_Int_Onumber__class_Onumber__of(_u4710), _u4711)), c_Groups_Ozero__class_Ozero(_u4710))) )).
% 20.36/20.60 cnf(matrix-2844, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4714) | ~class_Int_Onumber(_u4714) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), _u4715), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4714), _u4716), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), c_Groups_Ozero__class_Ozero(_u4714)), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4714), _u4715), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717))), _u4716)) )).
% 20.36/20.60 cnf(matrix-2845, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4714) | ~class_Int_Onumber(_u4714) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), _u4715), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4714), _u4716), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), c_Groups_Ozero__class_Ozero(_u4714)), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717)), c_Groups_Ozero__class_Ozero(_u4714))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), _u4716), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4714), _u4715), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717)))) )).
% 20.36/20.60 cnf(matrix-2846, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4714) | ~class_Int_Onumber(_u4714) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), _u4715), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4714), _u4716), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), c_Groups_Ozero__class_Ozero(_u4714)), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717)), c_Groups_Ozero__class_Ozero(_u4714))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), _u4715), c_Groups_Ozero__class_Ozero(_u4714))) )).
% 20.36/20.60 cnf(matrix-2847, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4714) | ~class_Int_Onumber(_u4714) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), _u4715), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4714), _u4716), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), c_Groups_Ozero__class_Ozero(_u4714)), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717)), c_Groups_Ozero__class_Ozero(_u4714))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), _u4715), c_Groups_Ozero__class_Ozero(_u4714))) )).
% 20.36/20.60 cnf(matrix-2848, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4714) | ~class_Int_Onumber(_u4714) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), _u4715), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4714), _u4716), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), c_Groups_Ozero__class_Ozero(_u4714)), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), _u4716), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4714), _u4715), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717)), c_Groups_Ozero__class_Ozero(_u4714))) )).
% 20.36/20.60 cnf(matrix-2849, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4714) | ~class_Int_Onumber(_u4714) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), _u4715), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4714), _u4716), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), c_Groups_Ozero__class_Ozero(_u4714)), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), _u4716), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4714), _u4715), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), _u4715), c_Groups_Ozero__class_Ozero(_u4714))) )).
% 20.36/20.60 cnf(matrix-2850, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4714) | ~class_Int_Onumber(_u4714) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), _u4715), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4714), _u4716), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4714), _u4715), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717))), _u4716)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), c_Groups_Ozero__class_Ozero(_u4714)), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717))) )).
% 20.36/20.60 cnf(matrix-2851, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4714) | ~class_Int_Onumber(_u4714) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), _u4715), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4714), _u4716), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4714), _u4715), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717))), _u4716)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717)), c_Groups_Ozero__class_Ozero(_u4714))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), _u4715), c_Groups_Ozero__class_Ozero(_u4714))) )).
% 20.36/20.60 cnf(matrix-2852, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4714) | ~class_Int_Onumber(_u4714) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), _u4715), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4714), _u4716), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4714), _u4715), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717))), _u4716)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), _u4716), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4714), _u4715), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717)), c_Groups_Ozero__class_Ozero(_u4714))) )).
% 20.36/20.60 cnf(matrix-2853, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4714) | ~class_Int_Onumber(_u4714) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), _u4715), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4714), _u4716), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4714), _u4715), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717))), _u4716)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), _u4716), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4714), _u4715), hAPP(c_Int_Onumber__class_Onumber__of(_u4714), _u4717)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4714), _u4715), c_Groups_Ozero__class_Ozero(_u4714))) )).
% 20.36/20.60 cnf(matrix-2854, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4718) | ~class_Int_Onumber(_u4718) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), _u4719), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4718), _u4720), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4718), c_Groups_Ozero__class_Ozero(_u4718)), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4718), _u4719), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721))), _u4720)) )).
% 20.36/20.60 cnf(matrix-2855, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4718) | ~class_Int_Onumber(_u4718) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), _u4719), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4718), _u4720), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4718), c_Groups_Ozero__class_Ozero(_u4718)), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4718), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721)), c_Groups_Ozero__class_Ozero(_u4718))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), _u4720), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4718), _u4719), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721)))) )).
% 20.36/20.60 cnf(matrix-2856, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4718) | ~class_Int_Onumber(_u4718) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), _u4719), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4718), _u4720), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4718), c_Groups_Ozero__class_Ozero(_u4718)), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4718), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721)), c_Groups_Ozero__class_Ozero(_u4718))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), _u4719), c_Groups_Ozero__class_Ozero(_u4718))) )).
% 20.36/20.60 cnf(matrix-2857, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4718) | ~class_Int_Onumber(_u4718) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), _u4719), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4718), _u4720), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4718), c_Groups_Ozero__class_Ozero(_u4718)), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4718), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721)), c_Groups_Ozero__class_Ozero(_u4718))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), _u4719), c_Groups_Ozero__class_Ozero(_u4718))) )).
% 20.36/20.60 cnf(matrix-2858, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4718) | ~class_Int_Onumber(_u4718) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), _u4719), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4718), _u4720), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4718), c_Groups_Ozero__class_Ozero(_u4718)), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), _u4720), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4718), _u4719), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4718), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721)), c_Groups_Ozero__class_Ozero(_u4718))) )).
% 20.36/20.60 cnf(matrix-2859, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4718) | ~class_Int_Onumber(_u4718) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), _u4719), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4718), _u4720), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4718), c_Groups_Ozero__class_Ozero(_u4718)), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), _u4720), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4718), _u4719), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), _u4719), c_Groups_Ozero__class_Ozero(_u4718))) )).
% 20.36/20.60 cnf(matrix-2860, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4718) | ~class_Int_Onumber(_u4718) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), _u4719), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4718), _u4720), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4718), _u4719), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721))), _u4720)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4718), c_Groups_Ozero__class_Ozero(_u4718)), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721))) )).
% 20.36/20.60 cnf(matrix-2861, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4718) | ~class_Int_Onumber(_u4718) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), _u4719), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4718), _u4720), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4718), _u4719), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721))), _u4720)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4718), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721)), c_Groups_Ozero__class_Ozero(_u4718))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), _u4719), c_Groups_Ozero__class_Ozero(_u4718))) )).
% 20.36/20.60 cnf(matrix-2862, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4718) | ~class_Int_Onumber(_u4718) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), _u4719), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4718), _u4720), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4718), _u4719), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721))), _u4720)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), _u4720), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4718), _u4719), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4718), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721)), c_Groups_Ozero__class_Ozero(_u4718))) )).
% 20.36/20.60 cnf(matrix-2863, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4718) | ~class_Int_Onumber(_u4718) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), _u4719), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4718), _u4720), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4718), _u4719), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721))), _u4720)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), _u4720), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4718), _u4719), hAPP(c_Int_Onumber__class_Onumber__of(_u4718), _u4721)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4718), _u4719), c_Groups_Ozero__class_Ozero(_u4718))) )).
% 20.36/20.60 cnf(matrix-2864, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4722) | ~class_Int_Onumber(_u4722) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4722), _u4724), _u4725))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4722), c_Groups_Ozero__class_Ozero(_u4722)), _u4725)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), _u4725)), _u4724)) )).
% 20.36/20.60 cnf(matrix-2865, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4722) | ~class_Int_Onumber(_u4722) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4722), _u4724), _u4725))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4722), c_Groups_Ozero__class_Ozero(_u4722)), _u4725)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4722), _u4725), c_Groups_Ozero__class_Ozero(_u4722))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), _u4724), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), _u4725))) )).
% 20.36/20.60 cnf(matrix-2866, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4722) | ~class_Int_Onumber(_u4722) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4722), _u4724), _u4725))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4722), c_Groups_Ozero__class_Ozero(_u4722)), _u4725)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4722), _u4725), c_Groups_Ozero__class_Ozero(_u4722))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), c_Groups_Ozero__class_Ozero(_u4722))) )).
% 20.36/20.60 cnf(matrix-2867, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4722) | ~class_Int_Onumber(_u4722) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4722), _u4724), _u4725))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4722), c_Groups_Ozero__class_Ozero(_u4722)), _u4725)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4722), _u4725), c_Groups_Ozero__class_Ozero(_u4722))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), c_Groups_Ozero__class_Ozero(_u4722))) )).
% 20.36/20.60 cnf(matrix-2868, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4722) | ~class_Int_Onumber(_u4722) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4722), _u4724), _u4725))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4722), c_Groups_Ozero__class_Ozero(_u4722)), _u4725)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), _u4724), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), _u4725))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4722), _u4725), c_Groups_Ozero__class_Ozero(_u4722))) )).
% 20.36/20.60 cnf(matrix-2869, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4722) | ~class_Int_Onumber(_u4722) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4722), _u4724), _u4725))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4722), c_Groups_Ozero__class_Ozero(_u4722)), _u4725)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), _u4724), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), _u4725))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), c_Groups_Ozero__class_Ozero(_u4722))) )).
% 20.36/20.60 cnf(matrix-2870, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4722) | ~class_Int_Onumber(_u4722) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4722), _u4724), _u4725))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), _u4725)), _u4724)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4722), c_Groups_Ozero__class_Ozero(_u4722)), _u4725)) )).
% 20.36/20.60 cnf(matrix-2871, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4722) | ~class_Int_Onumber(_u4722) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4722), _u4724), _u4725))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), _u4725)), _u4724)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4722), _u4725), c_Groups_Ozero__class_Ozero(_u4722))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), c_Groups_Ozero__class_Ozero(_u4722))) )).
% 20.36/20.60 cnf(matrix-2872, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4722) | ~class_Int_Onumber(_u4722) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4722), _u4724), _u4725))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), _u4725)), _u4724)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), _u4724), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), _u4725))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4722), _u4725), c_Groups_Ozero__class_Ozero(_u4722))) )).
% 20.36/20.60 cnf(matrix-2873, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4722) | ~class_Int_Onumber(_u4722) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4722), _u4724), _u4725))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), _u4725)), _u4724)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), _u4724), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), _u4725))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4722), hAPP(c_Int_Onumber__class_Onumber__of(_u4722), _u4723)), c_Groups_Ozero__class_Ozero(_u4722))) )).
% 20.36/20.60 cnf(matrix-2874, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4726) | ~class_Int_Onumber(_u4726) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4726), _u4727), _u4728)), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4726), c_Groups_Ozero__class_Ozero(_u4726)), _u4728)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), _u4727), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4726), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729)), _u4728))) )).
% 20.36/20.60 cnf(matrix-2875, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4726) | ~class_Int_Onumber(_u4726) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4726), _u4727), _u4728)), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4726), c_Groups_Ozero__class_Ozero(_u4726)), _u4728)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4726), _u4728), c_Groups_Ozero__class_Ozero(_u4726))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4726), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729)), _u4728)), _u4727)) )).
% 20.36/20.60 cnf(matrix-2876, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4726) | ~class_Int_Onumber(_u4726) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4726), _u4727), _u4728)), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4726), c_Groups_Ozero__class_Ozero(_u4726)), _u4728)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4726), _u4728), c_Groups_Ozero__class_Ozero(_u4726))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), c_Groups_Ozero__class_Ozero(_u4726)), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729))) )).
% 20.36/20.60 cnf(matrix-2877, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4726) | ~class_Int_Onumber(_u4726) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4726), _u4727), _u4728)), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4726), c_Groups_Ozero__class_Ozero(_u4726)), _u4728)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4726), _u4728), c_Groups_Ozero__class_Ozero(_u4726))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), c_Groups_Ozero__class_Ozero(_u4726)), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729))) )).
% 20.36/20.60 cnf(matrix-2878, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4726) | ~class_Int_Onumber(_u4726) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4726), _u4727), _u4728)), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4726), c_Groups_Ozero__class_Ozero(_u4726)), _u4728)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4726), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729)), _u4728)), _u4727)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4726), _u4728), c_Groups_Ozero__class_Ozero(_u4726))) )).
% 20.36/20.60 cnf(matrix-2879, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4726) | ~class_Int_Onumber(_u4726) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4726), _u4727), _u4728)), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4726), c_Groups_Ozero__class_Ozero(_u4726)), _u4728)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4726), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729)), _u4728)), _u4727)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), c_Groups_Ozero__class_Ozero(_u4726)), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729))) )).
% 20.36/20.60 cnf(matrix-2880, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4726) | ~class_Int_Onumber(_u4726) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4726), _u4727), _u4728)), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), _u4727), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4726), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729)), _u4728))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4726), c_Groups_Ozero__class_Ozero(_u4726)), _u4728)) )).
% 20.36/20.60 cnf(matrix-2881, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4726) | ~class_Int_Onumber(_u4726) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4726), _u4727), _u4728)), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), _u4727), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4726), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729)), _u4728))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4726), _u4728), c_Groups_Ozero__class_Ozero(_u4726))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), c_Groups_Ozero__class_Ozero(_u4726)), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729))) )).
% 20.36/20.60 cnf(matrix-2882, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4726) | ~class_Int_Onumber(_u4726) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4726), _u4727), _u4728)), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), _u4727), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4726), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729)), _u4728))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4726), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729)), _u4728)), _u4727)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4726), _u4728), c_Groups_Ozero__class_Ozero(_u4726))) )).
% 20.36/20.60 cnf(matrix-2883, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4726) | ~class_Int_Onumber(_u4726) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4726), _u4727), _u4728)), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), _u4727), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4726), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729)), _u4728))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4726), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729)), _u4728)), _u4727)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4726), c_Groups_Ozero__class_Ozero(_u4726)), hAPP(c_Int_Onumber__class_Onumber__of(_u4726), _u4729))) )).
% 20.36/20.60 cnf(matrix-2884, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4730) | ~class_Int_Onumber(_u4730) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4730), _u4731), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732))), _u4733)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4730), c_Groups_Ozero__class_Ozero(_u4730)), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), _u4731), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4730), _u4733), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732)))) )).
% 20.36/20.60 cnf(matrix-2885, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4730) | ~class_Int_Onumber(_u4730) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4730), _u4731), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732))), _u4733)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4730), c_Groups_Ozero__class_Ozero(_u4730)), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4730), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732)), c_Groups_Ozero__class_Ozero(_u4730))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4730), _u4733), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732))), _u4731)) )).
% 20.36/20.60 cnf(matrix-2886, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4730) | ~class_Int_Onumber(_u4730) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4730), _u4731), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732))), _u4733)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4730), c_Groups_Ozero__class_Ozero(_u4730)), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4730), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732)), c_Groups_Ozero__class_Ozero(_u4730))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), c_Groups_Ozero__class_Ozero(_u4730)), _u4733)) )).
% 20.36/20.60 cnf(matrix-2887, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4730) | ~class_Int_Onumber(_u4730) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4730), _u4731), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732))), _u4733)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4730), c_Groups_Ozero__class_Ozero(_u4730)), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4730), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732)), c_Groups_Ozero__class_Ozero(_u4730))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), c_Groups_Ozero__class_Ozero(_u4730)), _u4733)) )).
% 20.36/20.60 cnf(matrix-2888, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4730) | ~class_Int_Onumber(_u4730) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4730), _u4731), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732))), _u4733)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4730), c_Groups_Ozero__class_Ozero(_u4730)), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4730), _u4733), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732))), _u4731)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4730), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732)), c_Groups_Ozero__class_Ozero(_u4730))) )).
% 20.36/20.60 cnf(matrix-2889, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4730) | ~class_Int_Onumber(_u4730) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4730), _u4731), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732))), _u4733)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4730), c_Groups_Ozero__class_Ozero(_u4730)), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4730), _u4733), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732))), _u4731)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), c_Groups_Ozero__class_Ozero(_u4730)), _u4733)) )).
% 20.36/20.60 cnf(matrix-2890, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4730) | ~class_Int_Onumber(_u4730) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4730), _u4731), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732))), _u4733)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), _u4731), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4730), _u4733), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4730), c_Groups_Ozero__class_Ozero(_u4730)), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732))) )).
% 20.36/20.60 cnf(matrix-2891, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4730) | ~class_Int_Onumber(_u4730) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4730), _u4731), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732))), _u4733)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), _u4731), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4730), _u4733), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4730), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732)), c_Groups_Ozero__class_Ozero(_u4730))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), c_Groups_Ozero__class_Ozero(_u4730)), _u4733)) )).
% 20.36/20.60 cnf(matrix-2892, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4730) | ~class_Int_Onumber(_u4730) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4730), _u4731), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732))), _u4733)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), _u4731), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4730), _u4733), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4730), _u4733), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732))), _u4731)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4730), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732)), c_Groups_Ozero__class_Ozero(_u4730))) )).
% 20.36/20.60 cnf(matrix-2893, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4730) | ~class_Int_Onumber(_u4730) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4730), _u4731), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732))), _u4733)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), _u4731), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4730), _u4733), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4730), _u4733), hAPP(c_Int_Onumber__class_Onumber__of(_u4730), _u4732))), _u4731)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4730), c_Groups_Ozero__class_Ozero(_u4730)), _u4733)) )).
% 20.36/20.60 cnf(matrix-2894, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OLocal(_u4734, _u4735, _u4736)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Com_Ocom_Ocom__size(_u4736)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 20.36/20.60 cnf(matrix-2895, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OLocal(_u4737, _u4738, _u4739)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u4739)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 20.36/20.60 cnf(matrix-2896, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4741), _u4742), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u4741, tc_HOL_Obool), _u4743))) | hBOOL(hAPP(hAPP(c_member(_u4741), _u4742), skolem105(_u4743, _u4742, _u4741))) )).
% 20.36/20.60 cnf(matrix-2897, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4741), _u4742), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u4741, tc_HOL_Obool), _u4743))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u4741, tc_HOL_Obool)), skolem105(_u4743, _u4742, _u4741)), _u4743)) )).
% 20.36/20.60 cnf(matrix-2898, plain, ( ~class_Rings_Olinordered__semidom(_u4745) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4745), c_Groups_Ozero__class_Ozero(_u4745)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4746, _u4745), _u4748), _u4747))) | hBOOL(hAPP(hAPP(c_member(_u4746), skolem106(_u4748, _u4747, _u4746, _u4745)), _u4747)) )).
% 20.36/20.60 cnf(matrix-2899, plain, ( ~class_Rings_Olinordered__semidom(_u4745) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4745), c_Groups_Ozero__class_Ozero(_u4745)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4746, _u4745), _u4748), _u4747))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4745), c_Groups_Ozero__class_Ozero(_u4745)), hAPP(_u4748, skolem106(_u4748, _u4747, _u4746, _u4745)))) )).
% 20.36/20.60 cnf(matrix-2900, plain, ( ~class_Rings_Olinordered__semidom(_u4750) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4750), c_Groups_Ozero__class_Ozero(_u4750)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4751, _u4750), _u4753), _u4752))) | hBOOL(hAPP(hAPP(c_member(_u4751), skolem107(_u4753, _u4752, _u4751, _u4750)), _u4752)) )).
% 20.36/20.60 cnf(matrix-2901, plain, ( ~class_Rings_Olinordered__semidom(_u4750) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4750), c_Groups_Ozero__class_Ozero(_u4750)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4751, _u4750), _u4753), _u4752))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4750), c_Groups_Ozero__class_Ozero(_u4750)), hAPP(_u4753, skolem107(_u4753, _u4752, _u4751, _u4750)))) )).
% 20.36/20.60 cnf(matrix-2902, plain, ( ~class_Int_Onumber__ring(_u4754) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4754), c_Int_Osucc(_u4755)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4754), c_Groups_Oone__class_Oone(_u4754)), hAPP(c_Int_Onumber__class_Onumber__of(_u4754), _u4755))) )).
% 20.36/20.60 cnf(matrix-2903, plain, ( ~class_Fields_Olinordered__field(_u4757) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4757), _u4758), _u4759)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4757), c_Groups_Ozero__class_Ozero(_u4757)), skolem108(_u4759, _u4758, _u4757))) )).
% 20.36/20.60 cnf(matrix-2904, plain, ( ~class_Fields_Olinordered__field(_u4757) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4757), _u4758), _u4759)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4757), _u4758), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4757), _u4759), skolem108(_u4759, _u4758, _u4757)))) )).
% 20.36/20.60 cnf(matrix-2905, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4762)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4764))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4762), _u4764)) )).
% 20.36/20.60 cnf(matrix-2906, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4763), _u4765)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4763)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4765))) )).
% 20.36/20.60 cnf(matrix-2907, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4766)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4767)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4766), _u4767))) )).
% 20.36/20.60 cnf(matrix-2908, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4768)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4769)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4768), _u4769))) )).
% 20.36/20.60 cnf(matrix-2909, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4772)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4774))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4772), _u4774)) )).
% 20.36/20.60 cnf(matrix-2910, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4773), _u4775)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4773)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4775))) )).
% 20.36/20.60 cnf(matrix-2911, 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)), _u4776)), _u4776) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.60 cnf(matrix-2912, 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)), _u4778)), _u4778)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4778), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.60 cnf(matrix-2913, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4779), 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)), _u4779)), _u4779)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.60 cnf(matrix-2914, 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))) )).
% 20.36/20.60 cnf(matrix-2915, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4780)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4780), _u4781) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4780 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 20.36/20.60 cnf(matrix-2916, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4780)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4780), _u4781) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4781 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 20.36/20.60 cnf(matrix-2917, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4780)) | ( _u4780 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4781 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4780), _u4781) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 20.36/20.60 cnf(matrix-2918, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u4783)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4783)) )).
% 20.36/20.60 cnf(matrix-2919, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4784)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u4784)) )).
% 20.36/20.60 cnf(matrix-2920, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4785)) | 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)), _u4785))) )).
% 20.36/20.60 cnf(matrix-2921, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4786), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u4786) )).
% 20.36/20.60 cnf(matrix-2922, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4787) = _u4787) )).
% 20.36/20.60 cnf(matrix-2923, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4788), _u4789)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4790)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4790), _u4788)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4790), _u4789))) )).
% 20.36/20.60 cnf(matrix-2924, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4793), _u4795)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4793), _u4795)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.60 cnf(matrix-2925, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4794), _u4796)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4794), _u4796)) )).
% 20.36/20.60 cnf(matrix-2926, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4797), _u4798)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4799), _u4800)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4797), _u4799)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4798), _u4800))) )).
% 20.36/20.60 cnf(matrix-2927, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4803), _u4805)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4803), _u4805)) )).
% 20.36/20.60 cnf(matrix-2928, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4803), _u4805)) | ( _u4803 != _u4805) )).
% 20.36/20.60 cnf(matrix-2929, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4804), _u4806)) | ( _u4804 = _u4806) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4804), _u4806)) )).
% 20.36/20.60 cnf(matrix-2930, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4807), _u4808)), _u4809) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4807), _u4809)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4808), _u4809))) )).
% 20.36/20.60 cnf(matrix-2931, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4810), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4811), _u4812)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4810), _u4811)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4810), _u4812))) )).
% 20.36/20.60 cnf(matrix-2932, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4813), _u4814)) | ( _u4813 = _u4814) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4814), _u4813)) )).
% 20.36/20.60 cnf(matrix-2933, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4815), _u4816) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4816), _u4815)) )).
% 20.36/20.60 cnf(matrix-2934, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4817), _u4818)), _u4819) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4817), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4818), _u4819))) )).
% 20.36/20.60 cnf(matrix-2935, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4820), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4821), _u4822)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4820), _u4821)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4820), _u4822))) )).
% 20.36/20.60 cnf(matrix-2936, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4823), _u4824)), _u4825) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4823), _u4825)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4824), _u4825))) )).
% 20.36/20.60 cnf(matrix-2937, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4826), _u4827)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4826), _u4828)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4827), _u4828))) )).
% 20.36/20.60 cnf(matrix-2938, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4829), _u4830) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4830), _u4829)) )).
% 20.36/20.60 cnf(matrix-2939, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4831), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4832), _u4833)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4832), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4831), _u4833))) )).
% 20.36/20.60 cnf(matrix-2940, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4834), _u4835)), _u4836) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4834), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4835), _u4836))) )).
% 20.36/20.60 cnf(matrix-2941, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4837), _u4837)) )).
% 20.36/20.60 cnf(matrix-2942, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4838), _u4839)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4839), _u4838)) )).
% 20.36/20.60 cnf(matrix-2943, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4840), _u4841)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4841), _u4842)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4840), _u4842)) )).
% 20.36/20.60 cnf(matrix-2944, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4843), _u4844)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4844), _u4843)) | ( _u4843 = _u4844) )).
% 20.36/20.60 cnf(matrix-2945, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4845), _u4846)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4847), _u4845)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4847), _u4846))) )).
% 20.36/20.60 cnf(matrix-2946, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4850), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4852), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4850), _u4852)) )).
% 20.36/20.60 cnf(matrix-2947, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4851), _u4853)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4851), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4853), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 20.36/20.60 cnf(matrix-2948, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4856), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u4858)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4856), _u4858)) )).
% 20.36/20.60 cnf(matrix-2949, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4857), _u4859)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4857), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u4859)) )).
% 20.36/20.60 cnf(matrix-2950, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4860), _u4861)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4860), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u4861)) )).
% 20.36/20.60 cnf(matrix-2951, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4864), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4866), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4864), _u4866)) )).
% 20.36/20.60 cnf(matrix-2952, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4865), _u4867)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4865), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4867), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 20.36/20.60 cnf(matrix-2953, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u4868) = _u4868) )).
% 20.36/20.60 cnf(matrix-2954, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4869), c_Groups_Oone__class_Oone(tc_Int_Oint)) = _u4869) )).
% 20.36/20.60 cnf(matrix-2955, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4872), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4874), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4872), _u4874)) | ( _u4872 = _u4874) )).
% 20.36/20.60 cnf(matrix-2956, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4873), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4875), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4873), _u4875)) )).
% 20.36/20.60 cnf(matrix-2957, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4873), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4875), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ( _u4873 != _u4875) )).
% 20.36/20.60 cnf(matrix-2958, plain, ( ( c_Int_Osucc(_u4876) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4876), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 20.36/20.60 cnf(matrix-2959, plain, ( ( c_Com_Ocom_OLocal(_u4883, _u4885, _u4887) != c_Com_Ocom_OLocal(_u4889, _u4891, _u4893)) | ( _u4883 = _u4889) )).
% 20.36/20.60 cnf(matrix-2960, plain, ( ( c_Com_Ocom_OLocal(_u4883, _u4885, _u4887) != c_Com_Ocom_OLocal(_u4889, _u4891, _u4893)) | ( _u4885 = _u4891) )).
% 20.36/20.60 cnf(matrix-2961, plain, ( ( c_Com_Ocom_OLocal(_u4883, _u4885, _u4887) != c_Com_Ocom_OLocal(_u4889, _u4891, _u4893)) | ( _u4887 = _u4893) )).
% 20.36/20.60 cnf(matrix-2962, plain, ( ( _u4884 != _u4890) | ( _u4886 != _u4892) | ( _u4888 != _u4894) | ( c_Com_Ocom_OLocal(_u4884, _u4886, _u4888) = c_Com_Ocom_OLocal(_u4890, _u4892, _u4894)) )).
% 20.36/20.60 cnf(matrix-2963, plain, ( ( c_Com_Ocom_OCond(_u4895, _u4896, _u4897) != c_Com_Ocom_OLocal(_u4898, _u4899, _u4900)) )).
% 20.36/20.60 cnf(matrix-2964, plain, ( ( c_Com_Ocom_OLocal(_u4901, _u4902, _u4903) != c_Com_Ocom_OCond(_u4904, _u4905, _u4906)) )).
% 20.36/20.60 cnf(matrix-2965, plain, ( ( c_Com_Ocom_OLocal(_u4907, _u4908, _u4909) != c_Com_Ocom_OSemi(_u4910, _u4911)) )).
% 20.36/20.60 cnf(matrix-2966, plain, ( ( c_Com_Ocom_OSemi(_u4912, _u4913) != c_Com_Ocom_OLocal(_u4914, _u4915, _u4916)) )).
% 20.36/20.60 cnf(matrix-2967, plain, ( ( c_Com_Ocom_OLocal(_u4917, _u4918, _u4919) != c_Com_Ocom_OSKIP) )).
% 20.36/20.60 cnf(matrix-2968, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OLocal(_u4920, _u4921, _u4922)) )).
% 20.36/20.60 cnf(matrix-2969, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4923)) | ( _u4923 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4924), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4923), _u4925))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4924), _u4923)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u4925)) )).
% 20.36/20.60 cnf(matrix-2970, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4926)) | ( _u4926 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4927), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4926), _u4928))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4927)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4928), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 20.36/20.60 cnf(matrix-2971, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4929), _u4930)), _u4931) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4932), _u4933)), _u4934)) | ~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), _u4932), _u4933)), _u4934)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4931), _u4929)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4934)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4932)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4932), _u4929)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4933), _u4930)) )).
% 20.36/20.60 cnf(matrix-2972, 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), _u4935), _u4936)), _u4937)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4935), _u4938)), _u4939))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4939), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4935), _u4939)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4935), _u4937)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4938), _u4936)) )).
% 20.36/20.60 cnf(matrix-2973, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4940), _u4941)), _u4942) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4943), _u4944)), _u4945)) | ~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), _u4943), _u4944)), _u4945))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4945), _u4943)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4942)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4943)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4943), _u4940)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4941), _u4944)) )).
% 20.36/20.60 cnf(matrix-2974, 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), _u4946), _u4947)), _u4948)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4946), _u4949)), _u4950))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4948)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4948), _u4946)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4950), _u4946)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4947), _u4949)) )).
% 20.36/20.60 cnf(matrix-2975, 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), _u4951), _u4952)), _u4953)), 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)), _u4953)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4951)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4952), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.60 cnf(matrix-2976, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4954) = _u4954) )).
% 20.36/20.60 cnf(matrix-2977, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 20.36/20.60 cnf(matrix-2978, 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), _u4955), _u4956)), _u4957))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4957), _u4955)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4955)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4956)) )).
% 20.36/20.60 cnf(matrix-2979, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4958)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4959)) | 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), _u4958), _u4959))) )).
% 20.36/20.60 cnf(matrix-2980, 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))) )).
% 20.36/20.60 cnf(matrix-2981, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4960)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4961)) | 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), _u4960), _u4961))) )).
% 20.36/20.60 cnf(matrix-2982, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4964))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4964)), _u4966)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u4966)) )).
% 20.36/20.60 cnf(matrix-2983, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4965))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4965)), _u4967)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u4965))), _u4967)) )).
% 20.36/20.60 cnf(matrix-2984, 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))) )).
% 20.36/20.60 cnf(matrix-2985, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4969))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4969)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-2986, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4970))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4970)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u4970))) )).
% 20.36/20.60 cnf(matrix-2987, plain, ( ~class_Int_Onumber__ring(_u4971) | ~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))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4971), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4972)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4971), _u4972)) )).
% 20.36/20.60 cnf(matrix-2988, plain, ( ~class_Int_Onumber__ring(_u4971) | 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))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4971), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4972)) = c_Groups_Ozero__class_Ozero(_u4971)) )).
% 20.36/20.60 cnf(matrix-2989, plain, ( ~class_Nat_Osemiring__char__0(_u4973) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4973), _u4974) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4973), _u4975)) | ( _u4974 = _u4975) )).
% 20.36/20.60 cnf(matrix-2990, plain, ( ~class_Nat_Osemiring__char__0(_u4973) | ( _u4974 != _u4975) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4973), _u4974) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4973), _u4975)) )).
% 20.36/20.60 cnf(matrix-2991, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4976))) )).
% 20.36/20.60 cnf(matrix-2992, 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))) )).
% 20.36/20.60 cnf(matrix-2993, 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), _u4977))) )).
% 20.36/20.60 cnf(matrix-2994, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4978)) | ~hBOOL(hAPP(_u4983, _u4978)) | hBOOL(hAPP(_u4983, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem109(_u4983)))) )).
% 20.36/20.60 cnf(matrix-2995, plain, ( ~hBOOL(hAPP(_u4984, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4980))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem110(_u4984))) )).
% 20.36/20.60 cnf(matrix-2996, plain, ( ~hBOOL(hAPP(_u4984, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4980))) | hBOOL(hAPP(_u4984, skolem110(_u4984))) )).
% 20.36/20.60 cnf(matrix-2997, plain, ( hBOOL(hAPP(_u4990, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4986))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem111(_u4990))) )).
% 20.36/20.60 cnf(matrix-2998, plain, ( hBOOL(hAPP(_u4990, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4986))) | ~hBOOL(hAPP(_u4990, skolem111(_u4990))) )).
% 20.36/20.60 cnf(matrix-2999, plain, ( ~hBOOL(hAPP(_u4991, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem112(_u4991)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4988)) | hBOOL(hAPP(_u4991, _u4988)) )).
% 20.36/20.60 cnf(matrix-3000, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4994)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4996))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4994), _u4996)) )).
% 20.36/20.60 cnf(matrix-3001, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4995), _u4997)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4995)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4997))) )).
% 20.36/20.60 cnf(matrix-3002, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5000)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5002))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5000), _u5002)) )).
% 20.36/20.60 cnf(matrix-3003, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5001), _u5003)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5001)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5003))) )).
% 20.36/20.60 cnf(matrix-3004, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5004)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5005)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5004), _u5005))) )).
% 20.36/20.60 cnf(matrix-3005, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.60 cnf(matrix-3006, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5006)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5007)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5006), _u5007))) )).
% 20.36/20.60 cnf(matrix-3007, 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))) )).
% 20.36/20.60 cnf(matrix-3008, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 20.36/20.60 cnf(matrix-3009, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5009))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5009)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.60 cnf(matrix-3010, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5010))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5010)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5010)) )).
% 20.36/20.60 cnf(matrix-3011, 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)) )).
% 20.36/20.60 cnf(matrix-3012, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5012) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5012 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.60 cnf(matrix-3013, plain, ( ( _u5013 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5013) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.60 cnf(matrix-3014, 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), _u5014))) )).
% 20.36/20.60 cnf(matrix-3015, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5015)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.60 cnf(matrix-3016, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5018)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5020))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5018), _u5020)) )).
% 20.36/20.60 cnf(matrix-3017, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5019), _u5021)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5019)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5021))) )).
% 20.36/20.60 cnf(matrix-3018, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5024)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5026))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5024), _u5026)) )).
% 20.36/20.60 cnf(matrix-3019, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5025), _u5027)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5025)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5027))) )).
% 20.36/20.60 cnf(matrix-3020, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5028)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5029)), _u5030)) = 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), _u5028), _u5029))), _u5030)) )).
% 20.36/20.60 cnf(matrix-3021, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5031)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5032)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5031), _u5032))) )).
% 20.36/20.60 cnf(matrix-3022, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5037), _u5039)) | ( _u5039 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5037), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem113(_u5039, _u5037)))) )).
% 20.36/20.60 cnf(matrix-3023, plain, ( ( _u5040 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5038), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5034))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5038), _u5040)) )).
% 20.36/20.60 cnf(matrix-3024, plain, ( ~class_Rings_Olinordered__semidom(_u5041) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5041), c_Groups_Ozero__class_Ozero(_u5041)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5041), _u5042))) )).
% 20.36/20.60 cnf(matrix-3025, plain, ( ~class_Rings_Olinordered__semidom(_u5043) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5043), c_Groups_Ozero__class_Ozero(_u5043)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5043), _u5044))) )).
% 20.36/20.60 cnf(matrix-3026, plain, ( ~class_Rings_Olinordered__semidom(_u5045) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5045), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5045), _u5046)), c_Groups_Ozero__class_Ozero(_u5045))) )).
% 20.36/20.60 cnf(matrix-3027, plain, ( ~class_Int_Onumber__ring(_u5047) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5048))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5047), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5048)) = c_Groups_Ozero__class_Ozero(_u5047)) )).
% 20.36/20.61 cnf(matrix-3028, plain, ( ~class_Int_Onumber__ring(_u5047) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5048))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5047), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5048)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5047), _u5048)) )).
% 20.36/20.61 cnf(matrix-3029, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5049)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5050)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5049), _u5050))) )).
% 20.36/20.61 cnf(matrix-3030, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5051), _u5052)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5051)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5052))) )).
% 20.36/20.61 cnf(matrix-3031, plain, ( ~class_Rings_Osemiring__1(_u5053) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5053), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(_u5053)) )).
% 20.36/20.61 cnf(matrix-3032, plain, ( ~class_Rings_Olinordered__semidom(_u5054) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5054), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5054), _u5055)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5054), _u5056))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5055), _u5056)) )).
% 20.36/20.61 cnf(matrix-3033, plain, ( ~class_Rings_Olinordered__semidom(_u5057) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5058), _u5059)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5057), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5057), _u5058)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5057), _u5059))) )).
% 20.36/20.61 cnf(matrix-3034, plain, ( ~class_Rings_Olinordered__semidom(_u5060) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5060), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5060), _u5061)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5060), _u5062))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5061), _u5062)) )).
% 20.36/20.61 cnf(matrix-3035, plain, ( ~class_Rings_Olinordered__semidom(_u5060) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5061), _u5062)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5060), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5060), _u5061)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5060), _u5062))) )).
% 20.36/20.61 cnf(matrix-3036, 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)) )).
% 20.36/20.61 cnf(matrix-3037, plain, ( ~class_Rings_Olinordered__semidom(_u5063) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5063), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5063), _u5064)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5063), _u5065))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5064), _u5065)) )).
% 20.36/20.61 cnf(matrix-3038, plain, ( ~class_Rings_Olinordered__semidom(_u5063) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5064), _u5065)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5063), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5063), _u5064)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5063), _u5065))) )).
% 20.36/20.61 cnf(matrix-3039, plain, ( ~class_Rings_Osemiring__1(_u5066) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5066), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5067), _u5068)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5066), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5066), _u5067)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5066), _u5068))) )).
% 20.36/20.61 cnf(matrix-3040, plain, ( ~class_Rings_Osemiring__1(_u5069) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5069), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5070), _u5071)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5069), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5069), _u5070)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5069), _u5071))) )).
% 20.36/20.61 cnf(matrix-3041, plain, ( ~class_Rings_Osemiring__1(_u5072) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5072), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u5072)) )).
% 20.36/20.61 cnf(matrix-3042, plain, ( ~class_Rings_Oring__1(_u5073) | hBOOL(hAPP(hAPP(c_member(_u5073), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5073), _u5074)), c_Int_Oring__1__class_OInts(_u5073))) )).
% 20.36/20.61 cnf(matrix-3043, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u5076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5076)) )).
% 20.36/20.61 cnf(matrix-3044, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5077)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u5077)) )).
% 20.36/20.61 cnf(matrix-3045, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u5079)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5079), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3046, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5080), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, _u5080)) )).
% 20.36/20.61 cnf(matrix-3047, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5082)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u5082 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-3048, plain, ( ( _u5083 != 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), _u5083)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3049, 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)) )).
% 20.36/20.61 cnf(matrix-3050, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5088), _u5090)) | ( _u5090 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5088), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem114(_u5090, _u5088))))) )).
% 20.36/20.61 cnf(matrix-3051, plain, ( ( _u5091 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5089), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u5085)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5089), _u5091)) )).
% 20.36/20.61 cnf(matrix-3052, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u5092)) = 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), _u5092))) )).
% 20.36/20.61 cnf(matrix-3053, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5093), _u5094)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5094)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5093)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5094), _u5093))) )).
% 20.36/20.61 cnf(matrix-3054, plain, ( ~class_Rings_Osemiring__1(_u5095) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5095), hAPP(c_Nat_OSuc, _u5096)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5095), c_Groups_Oone__class_Oone(_u5095)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5095), _u5096))) )).
% 20.36/20.61 cnf(matrix-3055, plain, ( ~class_Rings_Oring__1(_u5097) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5098), _u5099)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5097), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5099), _u5098)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5097), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5097), _u5099)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5097), _u5098))) )).
% 20.36/20.61 cnf(matrix-3056, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5100))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5100) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-3057, 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), _u5102))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5102)) )).
% 20.36/20.61 cnf(matrix-3058, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5103)) | 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), _u5103))) )).
% 20.36/20.61 cnf(matrix-3059, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5104), _u5105)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5106)) | 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), _u5106)), _u5104)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5106)), _u5105))) )).
% 20.36/20.61 cnf(matrix-3060, plain, ( ~class_Rings_Olinordered__semidom(_u5107) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5107), c_Groups_Ozero__class_Ozero(_u5107)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5107), _u5108))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5108)) )).
% 20.36/20.61 cnf(matrix-3061, plain, ( ~class_Rings_Olinordered__semidom(_u5107) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5108)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5107), c_Groups_Ozero__class_Ozero(_u5107)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5107), _u5108))) )).
% 20.36/20.61 cnf(matrix-3062, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5111) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5113)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5111))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5113)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3063, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5111) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5113)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5111))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5113))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5111) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.61 cnf(matrix-3064, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5111) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5113)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5111))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5113))) | ( _u5111 = _u5113) )).
% 20.36/20.61 cnf(matrix-3065, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5112) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5114)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5112))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5114))) | ( _u5112 != _u5114) )).
% 20.36/20.61 cnf(matrix-3066, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5112) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5114)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5112))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5112) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5114))) )).
% 20.36/20.61 cnf(matrix-3067, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5112) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5114)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5112))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5112) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5112 != _u5114) )).
% 20.36/20.61 cnf(matrix-3068, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5112) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5114)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5114)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5112))) )).
% 20.36/20.61 cnf(matrix-3069, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5112) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5114)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5114)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5114))) | ( _u5112 != _u5114) )).
% 20.36/20.61 cnf(matrix-3070, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5112) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5114)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5114)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5112) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5114))) )).
% 20.36/20.61 cnf(matrix-3071, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5112) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5114)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5114)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5112) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5112 != _u5114) )).
% 20.36/20.61 cnf(matrix-3072, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5118))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5118)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5120)), _u5122)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5120)), _u5122)) )).
% 20.36/20.61 cnf(matrix-3073, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5119))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5121))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5119)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5121)), _u5123)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5119)), _u5123)) )).
% 20.36/20.61 cnf(matrix-3074, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5119))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5121))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5119)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5121)), _u5123)) = 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), _u5119), _u5121))), _u5123)) )).
% 20.36/20.61 cnf(matrix-3075, plain, ( ~hBOOL(hAPP(_u5127, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5129), _u5131)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5131), _u5129)) | hBOOL(hAPP(_u5127, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5129)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5131)))) )).
% 20.36/20.61 cnf(matrix-3076, plain, ( ~hBOOL(hAPP(_u5127, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5129), _u5131)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5129), _u5131)) | hBOOL(hAPP(_u5127, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3077, plain, ( hBOOL(hAPP(_u5128, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5130), _u5132)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5132), _u5130)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5130), _u5132)) )).
% 20.36/20.61 cnf(matrix-3078, plain, ( hBOOL(hAPP(_u5128, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5130), _u5132)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5132), _u5130)) | ~hBOOL(hAPP(_u5128, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3079, plain, ( hBOOL(hAPP(_u5128, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5130), _u5132)))) | ~hBOOL(hAPP(_u5128, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5130)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5132)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5130), _u5132)) )).
% 20.36/20.61 cnf(matrix-3080, plain, ( hBOOL(hAPP(_u5128, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5130), _u5132)))) | ~hBOOL(hAPP(_u5128, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5130)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5132)))) | ~hBOOL(hAPP(_u5128, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3081, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u5134) | ~class_Rings_Osemiring__1(_u5134) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5134), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5135, _u5134), _u5137), _u5136)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5134), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5134), hAPP(c_Finite__Set_Ocard(_u5135), _u5136))), _u5138))) | hBOOL(hAPP(hAPP(c_member(_u5135), skolem115(_u5138, _u5137, _u5136, _u5135, _u5134)), _u5136)) )).
% 20.36/20.61 cnf(matrix-3082, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u5134) | ~class_Rings_Osemiring__1(_u5134) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5134), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5135, _u5134), _u5137), _u5136)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5134), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5134), hAPP(c_Finite__Set_Ocard(_u5135), _u5136))), _u5138))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5134), hAPP(_u5137, skolem115(_u5138, _u5137, _u5136, _u5135, _u5134))), _u5138)) )).
% 20.36/20.61 cnf(matrix-3083, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5141), _u5143)) | ( c_Nat__Transfer_Otsub(_u5143, _u5141) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5143), _u5141)) )).
% 20.36/20.61 cnf(matrix-3084, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5142), _u5144)) | ( c_Nat__Transfer_Otsub(_u5144, _u5142) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.61 cnf(matrix-3085, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5146), 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), _u5146)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-3086, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5147), 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), _u5147)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u5147))) )).
% 20.36/20.61 cnf(matrix-3087, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5149), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5149)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-3088, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5150), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5150)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u5150))) )).
% 20.36/20.61 cnf(matrix-3089, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u5152)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5152) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-3090, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5153) != 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(_u5153)))) )).
% 20.36/20.61 cnf(matrix-3091, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5156), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5156)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5158)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-3092, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5157), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5157)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5159)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5157), _u5159))) )).
% 20.36/20.61 cnf(matrix-3093, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5162) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5164)) | ( _u5162 = _u5164) )).
% 20.36/20.61 cnf(matrix-3094, plain, ( ( _u5163 != _u5165) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5163) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5165)) )).
% 20.36/20.61 cnf(matrix-3095, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5168) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5170)) | ( _u5168 = _u5170) )).
% 20.36/20.61 cnf(matrix-3096, plain, ( ( _u5169 != _u5171) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5169) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5171)) )).
% 20.36/20.61 cnf(matrix-3097, plain, ( ( c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.61 cnf(matrix-3098, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OPls)) )).
% 20.36/20.61 cnf(matrix-3099, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OPls)) )).
% 20.36/20.61 cnf(matrix-3100, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5172), c_Int_OPls) = _u5172) )).
% 20.36/20.61 cnf(matrix-3101, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), _u5173) = _u5173) )).
% 20.36/20.61 cnf(matrix-3102, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OPls), _u5174) = c_Int_OPls) )).
% 20.36/20.61 cnf(matrix-3103, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5175), c_Int_OPls) = _u5175) )).
% 20.36/20.61 cnf(matrix-3104, plain, ( ( c_Int_Osucc(c_Int_Opred(_u5176)) = _u5176) )).
% 20.36/20.61 cnf(matrix-3105, plain, ( ~class_Int_Onumber__ring(_u5177) | ( c_Groups_Ozero__class_Ozero(_u5177) = hAPP(c_Int_Onumber__class_Onumber__of(_u5177), c_Int_OPls)) )).
% 20.36/20.61 cnf(matrix-3106, plain, ( ~class_Int_Onumber__ring(_u5178) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5178), c_Int_OPls) = c_Groups_Ozero__class_Ozero(_u5178)) )).
% 20.36/20.61 cnf(matrix-3107, plain, ( ~class_Int_Onumber__ring(_u5179) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5179), hAPP(c_Int_Onumber__class_Onumber__of(_u5179), c_Int_OPls)), _u5180) = _u5180) )).
% 20.36/20.61 cnf(matrix-3108, plain, ( ~class_Int_Onumber__ring(_u5181) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5181), _u5182), hAPP(c_Int_Onumber__class_Onumber__of(_u5181), c_Int_OPls)) = _u5182) )).
% 20.36/20.61 cnf(matrix-3109, 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))) )).
% 20.36/20.61 cnf(matrix-3110, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3111, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-3112, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OPls)) )).
% 20.36/20.61 cnf(matrix-3113, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls)) )).
% 20.36/20.61 cnf(matrix-3114, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u5183)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5184)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5183)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5184), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u5183)))) )).
% 20.36/20.61 cnf(matrix-3115, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls))) )).
% 20.36/20.61 cnf(matrix-3116, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5187), _u5189)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u5187)), _u5189)) )).
% 20.36/20.61 cnf(matrix-3117, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u5188)), _u5190)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5188), _u5190)) )).
% 20.36/20.61 cnf(matrix-3118, plain, ( ( c_Int_Opred(_u5191) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5191), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3119, plain, ( ( c_Nat__Transfer_Otsub(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5192), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5193)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5192), _u5193))) )).
% 20.36/20.61 cnf(matrix-3120, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5195), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5195)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-3121, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5196), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5196)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u5196))) )).
% 20.36/20.61 cnf(matrix-3122, plain, ( ~class_Fields_Ofield__inverse__zero(_u5197) | ~class_Int_Onumber__ring(_u5197) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5197), _u5198), hAPP(c_Int_Onumber__class_Onumber__of(_u5197), c_Int_OPls)) = c_Groups_Ozero__class_Ozero(_u5197)) )).
% 20.36/20.61 cnf(matrix-3123, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5200) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5200), c_Int_OPls)) )).
% 20.36/20.61 cnf(matrix-3124, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5201), c_Int_OPls)) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5201) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-3125, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5203)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5203), c_Int_OPls)) )).
% 20.36/20.61 cnf(matrix-3126, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5204), c_Int_OPls)) | ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5204)) )).
% 20.36/20.61 cnf(matrix-3127, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5207)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5209))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5207), _u5209)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u5209)) )).
% 20.36/20.61 cnf(matrix-3128, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5207)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5207), _u5209)) )).
% 20.36/20.61 cnf(matrix-3129, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5208)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5210))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5208), _u5210)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u5210)) )).
% 20.36/20.61 cnf(matrix-3130, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5213)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5215))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5213), _u5215)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5213), c_Int_OPls)) )).
% 20.36/20.61 cnf(matrix-3131, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5214)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5216))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5214), _u5216)) )).
% 20.36/20.61 cnf(matrix-3132, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5214)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5216))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5214), c_Int_OPls)) )).
% 20.36/20.61 cnf(matrix-3133, plain, ( ~class_Int_Onumber__ring(_u5217) | ~class_Rings_Olinordered__idom(_u5217) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5217), hAPP(c_Int_Onumber__class_Onumber__of(_u5217), _u5218)), c_Groups_Ozero__class_Ozero(_u5217))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5218), c_Int_OPls)) )).
% 20.36/20.61 cnf(matrix-3134, plain, ( ~class_Int_Onumber__ring(_u5217) | ~class_Rings_Olinordered__idom(_u5217) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5218), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5217), hAPP(c_Int_Onumber__class_Onumber__of(_u5217), _u5218)), c_Groups_Ozero__class_Ozero(_u5217))) )).
% 20.36/20.61 cnf(matrix-3135, plain, ( ~class_Int_Onumber__ring(_u5219) | ~class_Rings_Olinordered__idom(_u5219) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5219), c_Groups_Ozero__class_Ozero(_u5219)), hAPP(c_Int_Onumber__class_Onumber__of(_u5219), _u5220))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u5220)) )).
% 20.36/20.61 cnf(matrix-3136, plain, ( ~class_Int_Onumber__ring(_u5219) | ~class_Rings_Olinordered__idom(_u5219) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u5220)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5219), c_Groups_Ozero__class_Ozero(_u5219)), hAPP(c_Int_Onumber__class_Onumber__of(_u5219), _u5220))) )).
% 20.36/20.61 cnf(matrix-3137, plain, ( ~class_Int_Onumber__ring(_u5221) | ~class_Rings_Olinordered__idom(_u5221) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5221), c_Groups_Ozero__class_Ozero(_u5221)), hAPP(c_Int_Onumber__class_Onumber__of(_u5221), _u5222))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u5222)) )).
% 20.36/20.61 cnf(matrix-3138, plain, ( ~class_Int_Onumber__ring(_u5221) | ~class_Rings_Olinordered__idom(_u5221) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u5222)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5221), c_Groups_Ozero__class_Ozero(_u5221)), hAPP(c_Int_Onumber__class_Onumber__of(_u5221), _u5222))) )).
% 20.36/20.61 cnf(matrix-3139, plain, ( ~class_Int_Onumber__ring(_u5223) | ~class_Rings_Olinordered__idom(_u5223) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5223), hAPP(c_Int_Onumber__class_Onumber__of(_u5223), _u5224)), c_Groups_Ozero__class_Ozero(_u5223))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5224), c_Int_OPls)) )).
% 20.36/20.61 cnf(matrix-3140, plain, ( ~class_Int_Onumber__ring(_u5223) | ~class_Rings_Olinordered__idom(_u5223) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5224), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5223), hAPP(c_Int_Onumber__class_Onumber__of(_u5223), _u5224)), c_Groups_Ozero__class_Ozero(_u5223))) )).
% 20.36/20.61 cnf(matrix-3141, 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), _u5226))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u5226)) )).
% 20.36/20.61 cnf(matrix-3142, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u5227)) | 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), _u5227))) )).
% 20.36/20.61 cnf(matrix-3143, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5230), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5230)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5232)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5232)) )).
% 20.36/20.61 cnf(matrix-3144, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5231), c_Int_OPls)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5233), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5231)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5233)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5231)) )).
% 20.36/20.61 cnf(matrix-3145, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5231), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5233), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5231)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5233)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5231), _u5233))) )).
% 20.36/20.61 cnf(matrix-3146, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5234)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5235)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Nat__Transfer_Otsub(_u5234, _u5235))) )).
% 20.36/20.61 cnf(matrix-3147, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5236), _u5237)) | ( c_Nat__Transfer_Otsub(_u5237, _u5236) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5237), _u5236)) )).
% 20.36/20.61 cnf(matrix-3148, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5241), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5241)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5243)), _u5245)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-3149, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5242), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5242)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5244)), _u5246)) = 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), _u5242), _u5244))), _u5246)) )).
% 20.36/20.61 cnf(matrix-3150, plain, ( ~class_Int_Onumber__ring(_u5247) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u5248)) | hBOOL(hAPP(hAPP(c_member(_u5247), hAPP(c_Int_Onumber__class_Onumber__of(_u5247), _u5248)), c_Nat_Osemiring__1__class_ONats(_u5247))) )).
% 20.36/20.61 cnf(matrix-3151, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5251)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5253)) | ~hBOOL(hAPP(_u5252, _u5250)) | hBOOL(hAPP(_u5252, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5250), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5253), _u5251)))) | hBOOL(hAPP(_u5252, skolem116(_u5253, _u5252, _u5251))) )).
% 20.36/20.61 cnf(matrix-3152, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5251)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5253)) | ~hBOOL(hAPP(_u5252, _u5250)) | hBOOL(hAPP(_u5252, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5250), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5253), _u5251)))) | ~hBOOL(hAPP(_u5252, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem116(_u5253, _u5252, _u5251)), _u5251))) )).
% 20.36/20.61 cnf(matrix-3153, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5256)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5258)) | ~hBOOL(hAPP(_u5257, _u5255)) | hBOOL(hAPP(_u5257, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5255), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5258), _u5256)))) | hBOOL(hAPP(_u5257, skolem117(_u5258, _u5257, _u5256))) )).
% 20.36/20.61 cnf(matrix-3154, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5256)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5258)) | ~hBOOL(hAPP(_u5257, _u5255)) | hBOOL(hAPP(_u5257, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5255), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5258), _u5256)))) | ~hBOOL(hAPP(_u5257, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem117(_u5258, _u5257, _u5256)), _u5256))) )).
% 20.36/20.61 cnf(matrix-3155, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5260)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem118(_u5260))) )).
% 20.36/20.61 cnf(matrix-3156, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5260)) | ( _u5260 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem118(_u5260))) )).
% 20.36/20.61 cnf(matrix-3157, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5261)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5262), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5263), 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), _u5263), _u5262))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5261)))) )).
% 20.36/20.61 cnf(matrix-3158, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5264)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5265), 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), _u5265), _u5266))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5264))), _u5266)) )).
% 20.36/20.61 cnf(matrix-3159, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5267) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5267), hAPP(c_Groups_Oabs__class_Oabs(_u5267), _u5268)) = hAPP(c_Groups_Oabs__class_Oabs(_u5267), _u5268)) )).
% 20.36/20.61 cnf(matrix-3160, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5269) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5269), hAPP(c_Groups_Oabs__class_Oabs(_u5269), _u5270)), _u5271)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5269), _u5270), _u5271)) )).
% 20.36/20.61 cnf(matrix-3161, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5272) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5272), _u5273), hAPP(c_Groups_Oabs__class_Oabs(_u5272), _u5273))) )).
% 20.36/20.61 cnf(matrix-3162, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5274) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5274), c_Groups_Ozero__class_Ozero(_u5274)) = c_Groups_Ozero__class_Ozero(_u5274)) )).
% 20.36/20.61 cnf(matrix-3163, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5275) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5275), _u5276) != c_Groups_Ozero__class_Ozero(_u5275)) | ( _u5276 = c_Groups_Ozero__class_Ozero(_u5275)) )).
% 20.36/20.61 cnf(matrix-3164, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5275) | ( _u5276 != c_Groups_Ozero__class_Ozero(_u5275)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5275), _u5276) = c_Groups_Ozero__class_Ozero(_u5275)) )).
% 20.36/20.61 cnf(matrix-3165, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5277) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5277), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5277), hAPP(c_Groups_Oabs__class_Oabs(_u5277), _u5278)), hAPP(c_Groups_Oabs__class_Oabs(_u5277), _u5279))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5277), hAPP(c_Groups_Oabs__class_Oabs(_u5277), _u5278)), hAPP(c_Groups_Oabs__class_Oabs(_u5277), _u5279))) )).
% 20.36/20.61 cnf(matrix-3166, plain, ( ~class_Rings_Olinordered__idom(_u5280) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5280), hAPP(c_Groups_Oabs__class_Oabs(_u5280), _u5281)), hAPP(c_Groups_Oabs__class_Oabs(_u5280), _u5281)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5280), _u5281), _u5281)) )).
% 20.36/20.61 cnf(matrix-3167, plain, ( ~class_Rings_Olinordered__idom(_u5282) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5282), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5282), _u5283), _u5284)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5282), hAPP(c_Groups_Oabs__class_Oabs(_u5282), _u5283)), hAPP(c_Groups_Oabs__class_Oabs(_u5282), _u5284))) )).
% 20.36/20.61 cnf(matrix-3168, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5285) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5285), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5285), _u5286), _u5287)) = hAPP(c_Groups_Oabs__class_Oabs(_u5285), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5285), _u5287), _u5286))) )).
% 20.36/20.61 cnf(matrix-3169, plain, ( ~class_Rings_Olinordered__idom(_u5288) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5288), c_Groups_Oone__class_Oone(_u5288)) = c_Groups_Oone__class_Oone(_u5288)) )).
% 20.36/20.61 cnf(matrix-3170, plain, ( ~class_Rings_Olinordered__idom(_u5289) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5289), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5289), _u5290)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5289), _u5290)) )).
% 20.36/20.61 cnf(matrix-3171, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5291) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5291), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5291), _u5292), _u5293)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5291), hAPP(c_Groups_Oabs__class_Oabs(_u5291), _u5292)), hAPP(c_Groups_Oabs__class_Oabs(_u5291), _u5293))) )).
% 20.36/20.61 cnf(matrix-3172, plain, ( ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5294)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5294)) )).
% 20.36/20.61 cnf(matrix-3173, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5295) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5295), c_Groups_Ozero__class_Ozero(_u5295)), hAPP(c_Groups_Oabs__class_Oabs(_u5295), _u5296))) )).
% 20.36/20.61 cnf(matrix-3174, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5297) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5297), hAPP(c_Groups_Oabs__class_Oabs(_u5297), _u5298)), c_Groups_Ozero__class_Ozero(_u5297))) | ( _u5298 = c_Groups_Ozero__class_Ozero(_u5297)) )).
% 20.36/20.61 cnf(matrix-3175, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5297) | ( _u5298 != c_Groups_Ozero__class_Ozero(_u5297)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5297), hAPP(c_Groups_Oabs__class_Oabs(_u5297), _u5298)), c_Groups_Ozero__class_Ozero(_u5297))) )).
% 20.36/20.61 cnf(matrix-3176, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5299) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5299), c_Groups_Ozero__class_Ozero(_u5299)), _u5300)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5299), _u5300) = _u5300) )).
% 20.36/20.61 cnf(matrix-3177, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5301) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5301), hAPP(c_Groups_Oabs__class_Oabs(_u5301), _u5302)), c_Groups_Ozero__class_Ozero(_u5301))) )).
% 20.36/20.61 cnf(matrix-3178, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5303) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), c_Groups_Ozero__class_Ozero(_u5303)), hAPP(c_Groups_Oabs__class_Oabs(_u5303), _u5304))) | ( _u5304 != c_Groups_Ozero__class_Ozero(_u5303)) )).
% 20.36/20.61 cnf(matrix-3179, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5303) | ( _u5304 = c_Groups_Ozero__class_Ozero(_u5303)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), c_Groups_Ozero__class_Ozero(_u5303)), hAPP(c_Groups_Oabs__class_Oabs(_u5303), _u5304))) )).
% 20.36/20.61 cnf(matrix-3180, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5305) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5305), c_Groups_Ozero__class_Ozero(_u5305)), _u5306)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5305), _u5306) = _u5306) )).
% 20.36/20.61 cnf(matrix-3181, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5307) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5307), hAPP(c_Groups_Oabs__class_Oabs(_u5307), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5307), _u5308), _u5309))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5307), hAPP(c_Groups_Oabs__class_Oabs(_u5307), _u5308)), hAPP(c_Groups_Oabs__class_Oabs(_u5307), _u5309)))) )).
% 20.36/20.61 cnf(matrix-3182, plain, ( ~class_Rings_Olinordered__idom(_u5310) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5310), hAPP(c_Groups_Oabs__class_Oabs(_u5310), _u5311)), _u5312)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5310), hAPP(c_Groups_Oabs__class_Oabs(_u5310), _u5313)), _u5314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5310), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5310), hAPP(c_Groups_Oabs__class_Oabs(_u5310), _u5311)), hAPP(c_Groups_Oabs__class_Oabs(_u5310), _u5313))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5310), _u5312), _u5314))) )).
% 20.36/20.61 cnf(matrix-3183, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5315) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5315), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5315), hAPP(c_Groups_Oabs__class_Oabs(_u5315), _u5316)), hAPP(c_Groups_Oabs__class_Oabs(_u5315), _u5317))), hAPP(c_Groups_Oabs__class_Oabs(_u5315), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5315), _u5317), _u5316)))) )).
% 20.36/20.61 cnf(matrix-3184, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5318) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5318), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5318), hAPP(c_Groups_Oabs__class_Oabs(_u5318), _u5319)), hAPP(c_Groups_Oabs__class_Oabs(_u5318), _u5320))), hAPP(c_Groups_Oabs__class_Oabs(_u5318), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5318), _u5319), _u5320)))) )).
% 20.36/20.61 cnf(matrix-3185, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5321) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), hAPP(c_Groups_Oabs__class_Oabs(_u5321), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5321), hAPP(c_Groups_Oabs__class_Oabs(_u5321), _u5322)), hAPP(c_Groups_Oabs__class_Oabs(_u5321), _u5323)))), hAPP(c_Groups_Oabs__class_Oabs(_u5321), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5321), _u5322), _u5323)))) )).
% 20.36/20.61 cnf(matrix-3186, plain, ( ~class_Fields_Olinordered__field(_u5324) | ( _u5325 = c_Groups_Ozero__class_Ozero(_u5324)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5324), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5324), _u5326), _u5325)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5324), hAPP(c_Groups_Oabs__class_Oabs(_u5324), _u5326)), hAPP(c_Groups_Oabs__class_Oabs(_u5324), _u5325))) )).
% 20.36/20.61 cnf(matrix-3187, plain, ( ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5327), _u5328)) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u5327) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 20.36/20.61 cnf(matrix-3188, plain, ( ~class_Rings_Olinordered__idom(_u5329) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), c_Groups_Ozero__class_Ozero(_u5329)), _u5330)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5329), hAPP(c_Groups_Oabs__class_Oabs(_u5329), _u5331)), _u5330) = hAPP(c_Groups_Oabs__class_Oabs(_u5329), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5329), _u5331), _u5330))) )).
% 20.36/20.61 cnf(matrix-3189, plain, ( ~class_Rings_Oordered__ring__abs(_u5332) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5332), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5332), _u5333), _u5334)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5332), hAPP(c_Groups_Oabs__class_Oabs(_u5332), _u5333)), hAPP(c_Groups_Oabs__class_Oabs(_u5332), _u5334))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5332), c_Groups_Ozero__class_Ozero(_u5332)), _u5333)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5332), c_Groups_Ozero__class_Ozero(_u5332)), _u5334)) )).
% 20.36/20.61 cnf(matrix-3190, plain, ( ~class_Rings_Oordered__ring__abs(_u5332) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5332), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5332), _u5333), _u5334)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5332), hAPP(c_Groups_Oabs__class_Oabs(_u5332), _u5333)), hAPP(c_Groups_Oabs__class_Oabs(_u5332), _u5334))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5332), c_Groups_Ozero__class_Ozero(_u5332)), _u5333)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5332), _u5334), c_Groups_Ozero__class_Ozero(_u5332))) )).
% 20.36/20.61 cnf(matrix-3191, plain, ( ~class_Rings_Oordered__ring__abs(_u5332) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5332), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5332), _u5333), _u5334)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5332), hAPP(c_Groups_Oabs__class_Oabs(_u5332), _u5333)), hAPP(c_Groups_Oabs__class_Oabs(_u5332), _u5334))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5332), _u5333), c_Groups_Ozero__class_Ozero(_u5332))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5332), c_Groups_Ozero__class_Ozero(_u5332)), _u5334)) )).
% 20.36/20.61 cnf(matrix-3192, plain, ( ~class_Rings_Oordered__ring__abs(_u5332) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5332), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5332), _u5333), _u5334)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5332), hAPP(c_Groups_Oabs__class_Oabs(_u5332), _u5333)), hAPP(c_Groups_Oabs__class_Oabs(_u5332), _u5334))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5332), _u5333), c_Groups_Ozero__class_Ozero(_u5332))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5332), _u5334), c_Groups_Ozero__class_Ozero(_u5332))) )).
% 20.36/20.61 cnf(matrix-3193, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5335) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5335), hAPP(c_Groups_Oabs__class_Oabs(_u5335), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5335), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5335), _u5336), _u5337)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5335), _u5338), _u5339)))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5335), hAPP(c_Groups_Oabs__class_Oabs(_u5335), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5335), _u5336), _u5338))), hAPP(c_Groups_Oabs__class_Oabs(_u5335), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5335), _u5337), _u5339))))) )).
% 20.36/20.61 cnf(matrix-3194, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5340) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5340), hAPP(c_Groups_Oabs__class_Oabs(_u5340), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5340), _u5341), _u5342))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5340), hAPP(c_Groups_Oabs__class_Oabs(_u5340), _u5341)), hAPP(c_Groups_Oabs__class_Oabs(_u5340), _u5342)))) )).
% 20.36/20.61 cnf(matrix-3195, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5343) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5343), c_Groups_Ozero__class_Ozero(_u5343)), _u5344)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5343), hAPP(c_Groups_Oabs__class_Oabs(_u5343), _u5345)), _u5344) = hAPP(c_Groups_Oabs__class_Oabs(_u5343), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5343), _u5345), _u5344))) )).
% 20.36/20.61 cnf(matrix-3196, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u5347)), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( _u5347 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.61 cnf(matrix-3197, plain, ( ( _u5348 != 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), _u5348)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3198, plain, ( ~class_Rings_Osemiring__1(_u5349) | hBOOL(hAPP(hAPP(c_member(_u5349), c_Groups_Ozero__class_Ozero(_u5349)), c_Nat_Osemiring__1__class_ONats(_u5349))) )).
% 20.36/20.61 cnf(matrix-3199, plain, ( ~class_Rings_Osemiring__1(_u5350) | ~hBOOL(hAPP(hAPP(c_member(_u5350), _u5351), c_Nat_Osemiring__1__class_ONats(_u5350))) | ~hBOOL(hAPP(hAPP(c_member(_u5350), _u5352), c_Nat_Osemiring__1__class_ONats(_u5350))) | hBOOL(hAPP(hAPP(c_member(_u5350), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5350), _u5351), _u5352)), c_Nat_Osemiring__1__class_ONats(_u5350))) )).
% 20.36/20.61 cnf(matrix-3200, plain, ( ~class_Rings_Osemiring__1(_u5353) | ~hBOOL(hAPP(hAPP(c_member(_u5353), _u5354), c_Nat_Osemiring__1__class_ONats(_u5353))) | ~hBOOL(hAPP(hAPP(c_member(_u5353), _u5355), c_Nat_Osemiring__1__class_ONats(_u5353))) | hBOOL(hAPP(hAPP(c_member(_u5353), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5353), _u5354), _u5355)), c_Nat_Osemiring__1__class_ONats(_u5353))) )).
% 20.36/20.61 cnf(matrix-3201, plain, ( ~class_Rings_Osemiring__1(_u5356) | hBOOL(hAPP(hAPP(c_member(_u5356), c_Groups_Oone__class_Oone(_u5356)), c_Nat_Osemiring__1__class_ONats(_u5356))) )).
% 20.36/20.61 cnf(matrix-3202, plain, ( ~class_Rings_Osemiring__1(_u5357) | hBOOL(hAPP(hAPP(c_member(_u5357), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5357), _u5358)), c_Nat_Osemiring__1__class_ONats(_u5357))) )).
% 20.36/20.61 cnf(matrix-3203, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem119(_u5363, _u5362, _u5361)), _u5361)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5362, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u5363)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5363), hAPP(_u5362, _u5361))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem120(_u5363, _u5362, _u5361)), _u5361)) )).
% 20.36/20.61 cnf(matrix-3204, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem119(_u5363, _u5362, _u5361)), _u5361)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5362, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u5363)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5363), hAPP(_u5362, _u5361))) | ( hAPP(_u5362, skolem120(_u5363, _u5362, _u5361)) = _u5363) )).
% 20.36/20.61 cnf(matrix-3205, 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(_u5362, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem119(_u5363, _u5362, _u5361)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u5362, skolem119(_u5363, _u5362, _u5361))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5362, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u5363)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5363), hAPP(_u5362, _u5361))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem120(_u5363, _u5362, _u5361)), _u5361)) )).
% 20.36/20.61 cnf(matrix-3206, 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(_u5362, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem119(_u5363, _u5362, _u5361)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u5362, skolem119(_u5363, _u5362, _u5361))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5362, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u5363)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5363), hAPP(_u5362, _u5361))) | ( hAPP(_u5362, skolem120(_u5363, _u5362, _u5361)) = _u5363) )).
% 20.36/20.61 cnf(matrix-3207, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem121(_u5368, _u5367, _u5366)), _u5366)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5367, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u5368)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5368), hAPP(_u5367, _u5366))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem122(_u5368, _u5367, _u5366)), _u5366)) )).
% 20.36/20.61 cnf(matrix-3208, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem121(_u5368, _u5367, _u5366)), _u5366)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5367, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u5368)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5368), hAPP(_u5367, _u5366))) | ( hAPP(_u5367, skolem122(_u5368, _u5367, _u5366)) = _u5368) )).
% 20.36/20.61 cnf(matrix-3209, 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(_u5367, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem121(_u5368, _u5367, _u5366)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u5367, skolem121(_u5368, _u5367, _u5366))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5367, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u5368)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5368), hAPP(_u5367, _u5366))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem122(_u5368, _u5367, _u5366)), _u5366)) )).
% 20.36/20.61 cnf(matrix-3210, 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(_u5367, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem121(_u5368, _u5367, _u5366)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u5367, skolem121(_u5368, _u5367, _u5366))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5367, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u5368)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5368), hAPP(_u5367, _u5366))) | ( hAPP(_u5367, skolem122(_u5368, _u5367, _u5366)) = _u5368) )).
% 20.36/20.61 cnf(matrix-3211, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5371), skolem123(_u5374, _u5373, _u5372, _u5371))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5371), _u5372)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5373, _u5371)), _u5374)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5374), hAPP(_u5373, _u5372))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5371), skolem124(_u5374, _u5373, _u5372, _u5371))) )).
% 20.36/20.61 cnf(matrix-3212, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5371), skolem123(_u5374, _u5373, _u5372, _u5371))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5371), _u5372)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5373, _u5371)), _u5374)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5374), hAPP(_u5373, _u5372))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem124(_u5374, _u5373, _u5372, _u5371)), _u5372)) )).
% 20.36/20.61 cnf(matrix-3213, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5371), skolem123(_u5374, _u5373, _u5372, _u5371))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5371), _u5372)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5373, _u5371)), _u5374)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5374), hAPP(_u5373, _u5372))) | ( hAPP(_u5373, skolem124(_u5374, _u5373, _u5372, _u5371)) = _u5374) )).
% 20.36/20.61 cnf(matrix-3214, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem123(_u5374, _u5373, _u5372, _u5371)), _u5372)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5371), _u5372)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5373, _u5371)), _u5374)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5374), hAPP(_u5373, _u5372))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5371), skolem124(_u5374, _u5373, _u5372, _u5371))) )).
% 20.36/20.61 cnf(matrix-3215, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem123(_u5374, _u5373, _u5372, _u5371)), _u5372)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5371), _u5372)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5373, _u5371)), _u5374)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5374), hAPP(_u5373, _u5372))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem124(_u5374, _u5373, _u5372, _u5371)), _u5372)) )).
% 20.36/20.61 cnf(matrix-3216, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem123(_u5374, _u5373, _u5372, _u5371)), _u5372)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5371), _u5372)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5373, _u5371)), _u5374)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5374), hAPP(_u5373, _u5372))) | ( hAPP(_u5373, skolem124(_u5374, _u5373, _u5372, _u5371)) = _u5374) )).
% 20.36/20.61 cnf(matrix-3217, 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(_u5373, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem123(_u5374, _u5373, _u5372, _u5371)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u5373, skolem123(_u5374, _u5373, _u5372, _u5371))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5371), _u5372)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5373, _u5371)), _u5374)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5374), hAPP(_u5373, _u5372))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5371), skolem124(_u5374, _u5373, _u5372, _u5371))) )).
% 20.36/20.61 cnf(matrix-3218, 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(_u5373, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem123(_u5374, _u5373, _u5372, _u5371)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u5373, skolem123(_u5374, _u5373, _u5372, _u5371))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5371), _u5372)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5373, _u5371)), _u5374)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5374), hAPP(_u5373, _u5372))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem124(_u5374, _u5373, _u5372, _u5371)), _u5372)) )).
% 20.36/20.61 cnf(matrix-3219, 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(_u5373, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem123(_u5374, _u5373, _u5372, _u5371)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u5373, skolem123(_u5374, _u5373, _u5372, _u5371))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5371), _u5372)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5373, _u5371)), _u5374)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5374), hAPP(_u5373, _u5372))) | ( hAPP(_u5373, skolem124(_u5374, _u5373, _u5372, _u5371)) = _u5374) )).
% 20.36/20.61 cnf(matrix-3220, 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)), _u5375)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5376)), _u5375) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5376), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5375), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls))))) )).
% 20.36/20.61 cnf(matrix-3221, plain, ( ( _u5377 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5378), _u5379)), _u5380)) | ( _u5378 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5377, _u5378) = _u5380) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5378)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5378), _u5380)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5380), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3222, plain, ( ( _u5377 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5378), _u5379)), _u5380)) | ( _u5378 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5377, _u5378) = _u5380) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5380)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5380), _u5378)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5378)) )).
% 20.36/20.61 cnf(matrix-3223, plain, ( ( _u5377 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5378), _u5379)), _u5380)) | ( _u5378 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5377, _u5378) = _u5380) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5380)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5380), _u5378)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5378), _u5380)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5380), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3224, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5381)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5382), _u5383)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5383), 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), _u5382), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5384, _u5381))), _u5383)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3225, plain, ( ( c_Int_OBit1(_u5387) != c_Int_OBit1(_u5389)) | ( _u5387 = _u5389) )).
% 20.36/20.61 cnf(matrix-3226, plain, ( ( _u5388 != _u5390) | ( c_Int_OBit1(_u5388) = c_Int_OBit1(_u5390)) )).
% 20.36/20.61 cnf(matrix-3227, plain, ( ~class_Divides_Osemiring__div(_u5391) | ( c_Divides_Odiv__class_Omod(_u5391, c_Divides_Odiv__class_Omod(_u5391, _u5392, _u5393), _u5393) = c_Divides_Odiv__class_Omod(_u5391, _u5392, _u5393)) )).
% 20.36/20.61 cnf(matrix-3228, plain, ( ~class_Divides_Osemiring__div(_u5394) | ( c_Divides_Odiv__class_Omod(_u5394, c_Groups_Ozero__class_Ozero(_u5394), _u5395) = c_Groups_Ozero__class_Ozero(_u5394)) )).
% 20.36/20.61 cnf(matrix-3229, plain, ( ~class_Divides_Osemiring__div(_u5396) | ( c_Divides_Odiv__class_Omod(_u5396, _u5397, c_Groups_Ozero__class_Ozero(_u5396)) = _u5397) )).
% 20.36/20.61 cnf(matrix-3230, plain, ( ~class_Divides_Osemiring__div(_u5398) | ( c_Divides_Odiv__class_Omod(_u5398, _u5399, _u5399) = c_Groups_Ozero__class_Ozero(_u5398)) )).
% 20.36/20.61 cnf(matrix-3231, plain, ( ~class_Divides_Osemiring__div(_u5400) | ( c_Divides_Odiv__class_Omod(_u5400, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5400), _u5401), _u5402), _u5402) = c_Divides_Odiv__class_Omod(_u5400, _u5401, _u5402)) )).
% 20.36/20.61 cnf(matrix-3232, plain, ( ~class_Divides_Osemiring__div(_u5403) | ( c_Divides_Odiv__class_Omod(_u5403, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5403), _u5404), _u5405), _u5404) = c_Divides_Odiv__class_Omod(_u5403, _u5405, _u5404)) )).
% 20.36/20.61 cnf(matrix-3233, plain, ( ~class_Divides_Osemiring__div(_u5406) | ( c_Divides_Odiv__class_Omod(_u5406, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5406), _u5407), _u5408), _u5409) = c_Divides_Odiv__class_Omod(_u5406, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5406), _u5407), c_Divides_Odiv__class_Omod(_u5406, _u5408, _u5409)), _u5409)) )).
% 20.36/20.61 cnf(matrix-3234, plain, ( ~class_Divides_Osemiring__div(_u5410) | ( c_Divides_Odiv__class_Omod(_u5410, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5410), _u5411), _u5412), _u5413) = c_Divides_Odiv__class_Omod(_u5410, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5410), c_Divides_Odiv__class_Omod(_u5410, _u5411, _u5413)), _u5412), _u5413)) )).
% 20.36/20.61 cnf(matrix-3235, plain, ( ~class_Divides_Osemiring__div(_u5414) | ( c_Divides_Odiv__class_Omod(_u5414, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5414), _u5415), _u5416), _u5417) = c_Divides_Odiv__class_Omod(_u5414, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5414), c_Divides_Odiv__class_Omod(_u5414, _u5415, _u5417)), c_Divides_Odiv__class_Omod(_u5414, _u5416, _u5417)), _u5417)) )).
% 20.36/20.61 cnf(matrix-3236, plain, ( ~class_Divides_Osemiring__div(_u5418) | ( c_Divides_Odiv__class_Omod(_u5418, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5418), _u5419), c_Divides_Odiv__class_Omod(_u5418, _u5420, _u5421)), _u5421) = c_Divides_Odiv__class_Omod(_u5418, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5418), _u5419), _u5420), _u5421)) )).
% 20.36/20.61 cnf(matrix-3237, plain, ( ~class_Divides_Osemiring__div(_u5422) | ( c_Divides_Odiv__class_Omod(_u5422, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5422), c_Divides_Odiv__class_Omod(_u5422, _u5423, _u5424)), _u5425), _u5424) = c_Divides_Odiv__class_Omod(_u5422, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5422), _u5423), _u5425), _u5424)) )).
% 20.36/20.61 cnf(matrix-3238, plain, ( ~class_Divides_Osemiring__div(_u5426) | ( c_Divides_Odiv__class_Omod(_u5426, _u5427, _u5428) != c_Divides_Odiv__class_Omod(_u5426, _u5429, _u5428)) | ( c_Divides_Odiv__class_Omod(_u5426, _u5430, _u5428) != c_Divides_Odiv__class_Omod(_u5426, _u5431, _u5428)) | ( c_Divides_Odiv__class_Omod(_u5426, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5426), _u5427), _u5430), _u5428) = c_Divides_Odiv__class_Omod(_u5426, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5426), _u5429), _u5431), _u5428)) )).
% 20.36/20.61 cnf(matrix-3239, plain, ( ~class_Divides_Osemiring__div(_u5432) | ( c_Divides_Odiv__class_Omod(_u5432, _u5433, _u5434) != c_Divides_Odiv__class_Omod(_u5432, _u5435, _u5434)) | ( c_Divides_Odiv__class_Omod(_u5432, _u5436, _u5434) != c_Divides_Odiv__class_Omod(_u5432, _u5437, _u5434)) | ( c_Divides_Odiv__class_Omod(_u5432, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5432), _u5433), _u5436), _u5434) = c_Divides_Odiv__class_Omod(_u5432, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5432), _u5435), _u5437), _u5434)) )).
% 20.36/20.61 cnf(matrix-3240, plain, ( ~class_Divides_Osemiring__div(_u5438) | ( c_Divides_Odiv__class_Omod(_u5438, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5438), c_Divides_Odiv__class_Omod(_u5438, _u5439, _u5440)), _u5441), _u5440) = c_Divides_Odiv__class_Omod(_u5438, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5438), _u5439), _u5441), _u5440)) )).
% 20.36/20.61 cnf(matrix-3241, plain, ( ~class_Divides_Osemiring__div(_u5442) | ( c_Divides_Odiv__class_Omod(_u5442, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5442), _u5443), _u5444), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5442), _u5445), _u5444)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5442), c_Divides_Odiv__class_Omod(_u5442, _u5443, _u5445)), _u5444)) )).
% 20.36/20.61 cnf(matrix-3242, plain, ( ~class_Divides_Osemiring__div(_u5446) | ( c_Divides_Odiv__class_Omod(_u5446, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5446), _u5447), _u5448), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5446), _u5447), _u5449)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5446), _u5447), c_Divides_Odiv__class_Omod(_u5446, _u5448, _u5449))) )).
% 20.36/20.61 cnf(matrix-3243, plain, ( ~class_Divides_Osemiring__div(_u5450) | ( c_Divides_Odiv__class_Omod(_u5450, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5450), _u5451), _u5452), _u5453) = c_Divides_Odiv__class_Omod(_u5450, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5450), c_Divides_Odiv__class_Omod(_u5450, _u5451, _u5453)), c_Divides_Odiv__class_Omod(_u5450, _u5452, _u5453)), _u5453)) )).
% 20.36/20.61 cnf(matrix-3244, plain, ( ~class_Divides_Osemiring__div(_u5454) | ( c_Divides_Odiv__class_Omod(_u5454, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5454), _u5455), _u5456), _u5457) = c_Divides_Odiv__class_Omod(_u5454, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5454), c_Divides_Odiv__class_Omod(_u5454, _u5455, _u5457)), _u5456), _u5457)) )).
% 20.36/20.61 cnf(matrix-3245, plain, ( ~class_Divides_Osemiring__div(_u5458) | ( c_Divides_Odiv__class_Omod(_u5458, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5458), _u5459), _u5460), _u5461) = c_Divides_Odiv__class_Omod(_u5458, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5458), _u5459), c_Divides_Odiv__class_Omod(_u5458, _u5460, _u5461)), _u5461)) )).
% 20.36/20.61 cnf(matrix-3246, plain, ( ~class_Divides_Oring__div(_u5462) | ( c_Divides_Odiv__class_Omod(_u5462, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5462), _u5463), _u5464), _u5465) = c_Divides_Odiv__class_Omod(_u5462, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5462), _u5463), c_Divides_Odiv__class_Omod(_u5462, _u5464, _u5465)), _u5465)) )).
% 20.36/20.61 cnf(matrix-3247, plain, ( ~class_Divides_Oring__div(_u5466) | ( c_Divides_Odiv__class_Omod(_u5466, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5466), _u5467), _u5468), _u5469) = c_Divides_Odiv__class_Omod(_u5466, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5466), c_Divides_Odiv__class_Omod(_u5466, _u5467, _u5469)), _u5468), _u5469)) )).
% 20.36/20.61 cnf(matrix-3248, plain, ( ~class_Divides_Oring__div(_u5470) | ( c_Divides_Odiv__class_Omod(_u5470, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5470), _u5471), _u5472), _u5473) = c_Divides_Odiv__class_Omod(_u5470, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5470), c_Divides_Odiv__class_Omod(_u5470, _u5471, _u5473)), c_Divides_Odiv__class_Omod(_u5470, _u5472, _u5473)), _u5473)) )).
% 20.36/20.61 cnf(matrix-3249, plain, ( ~class_Divides_Oring__div(_u5474) | ( c_Divides_Odiv__class_Omod(_u5474, _u5475, _u5476) != c_Divides_Odiv__class_Omod(_u5474, _u5477, _u5476)) | ( c_Divides_Odiv__class_Omod(_u5474, _u5478, _u5476) != c_Divides_Odiv__class_Omod(_u5474, _u5479, _u5476)) | ( c_Divides_Odiv__class_Omod(_u5474, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5474), _u5475), _u5478), _u5476) = c_Divides_Odiv__class_Omod(_u5474, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5474), _u5477), _u5479), _u5476)) )).
% 20.36/20.61 cnf(matrix-3250, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u5480) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.61 cnf(matrix-3251, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5481, _u5481) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.61 cnf(matrix-3252, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5484)), c_Int_OBit1(_u5486))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5484), _u5486)) )).
% 20.36/20.61 cnf(matrix-3253, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5485), _u5487)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5485)), c_Int_OBit1(_u5487))) )).
% 20.36/20.61 cnf(matrix-3254, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5490)), c_Int_OBit1(_u5492))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5490), _u5492)) )).
% 20.36/20.61 cnf(matrix-3255, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5491), _u5493)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5491)), c_Int_OBit1(_u5493))) )).
% 20.36/20.61 cnf(matrix-3256, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5496)), c_Int_OBit1(_u5498))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5496), _u5498)) )).
% 20.36/20.61 cnf(matrix-3257, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5497), _u5499)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5497)), c_Int_OBit1(_u5499))) )).
% 20.36/20.61 cnf(matrix-3258, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5502)), c_Int_OBit1(_u5504))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5502), _u5504)) )).
% 20.36/20.61 cnf(matrix-3259, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5503), _u5505)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5503)), c_Int_OBit1(_u5505))) )).
% 20.36/20.61 cnf(matrix-3260, plain, ( ( c_Int_OBit1(_u5506) != c_Int_OPls) )).
% 20.36/20.61 cnf(matrix-3261, plain, ( ( c_Int_OPls != c_Int_OBit1(_u5507)) )).
% 20.36/20.61 cnf(matrix-3262, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5508), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5509, _u5510)), _u5510) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5508), _u5509), _u5510)) )).
% 20.36/20.61 cnf(matrix-3263, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5511), _u5512), _u5513) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5511), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5512, _u5513)), _u5513)) )).
% 20.36/20.61 cnf(matrix-3264, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5514), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5515, _u5516)), _u5516) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5514), _u5515), _u5516)) )).
% 20.36/20.61 cnf(matrix-3265, 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, _u5517, _u5518)), _u5519), _u5518) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5517), _u5519), _u5518)) )).
% 20.36/20.61 cnf(matrix-3266, plain, ( ~class_Divides_Osemiring__div(_u5520) | ( c_Divides_Odiv__class_Omod(_u5520, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5520), _u5521), _u5522), _u5522) = c_Groups_Ozero__class_Ozero(_u5520)) )).
% 20.36/20.61 cnf(matrix-3267, plain, ( ~class_Divides_Osemiring__div(_u5523) | ( c_Divides_Odiv__class_Omod(_u5523, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5523), _u5524), _u5525), _u5524) = c_Groups_Ozero__class_Ozero(_u5523)) )).
% 20.36/20.61 cnf(matrix-3268, plain, ( ~class_Divides_Osemiring__div(_u5526) | ( c_Divides_Odiv__class_Omod(_u5526, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5526), _u5527), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5526), _u5528), _u5529)), _u5529) = c_Divides_Odiv__class_Omod(_u5526, _u5527, _u5529)) )).
% 20.36/20.61 cnf(matrix-3269, plain, ( ~class_Divides_Osemiring__div(_u5530) | ( c_Divides_Odiv__class_Omod(_u5530, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5530), _u5531), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5530), _u5532), _u5533)), _u5532) = c_Divides_Odiv__class_Omod(_u5530, _u5531, _u5532)) )).
% 20.36/20.61 cnf(matrix-3270, plain, ( ~class_Divides_Osemiring__div(_u5534) | ( c_Divides_Odiv__class_Omod(_u5534, _u5535, c_Groups_Oone__class_Oone(_u5534)) = c_Groups_Ozero__class_Ozero(_u5534)) )).
% 20.36/20.61 cnf(matrix-3271, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5536)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5537)) | 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, _u5536, _u5537))) )).
% 20.36/20.61 cnf(matrix-3272, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5538)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5538, _u5539)), _u5538)) )).
% 20.36/20.61 cnf(matrix-3273, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5540)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5541, _u5540)), _u5540)) )).
% 20.36/20.61 cnf(matrix-3274, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5542), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5542), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5543, _u5542))) )).
% 20.36/20.61 cnf(matrix-3275, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5545)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5545), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3276, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5546), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5546)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3277, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5551, _u5553) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5551 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5553), skolem125(_u5553, _u5551))) )).
% 20.36/20.61 cnf(matrix-3278, plain, ( ( _u5552 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5554), _u5548)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5552, _u5554) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.61 cnf(matrix-3279, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u5556))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u5556)) )).
% 20.36/20.61 cnf(matrix-3280, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u5557)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u5557))) )).
% 20.36/20.61 cnf(matrix-3281, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5559)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5559), c_Int_OPls)) )).
% 20.36/20.61 cnf(matrix-3282, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5560), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5560)), c_Int_OPls)) )).
% 20.36/20.61 cnf(matrix-3283, plain, ( ( c_Int_OBit1(_u5561) = 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)), _u5561)), _u5561)) )).
% 20.36/20.61 cnf(matrix-3284, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u5563)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5563))) )).
% 20.36/20.61 cnf(matrix-3285, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5564))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u5564)))) )).
% 20.36/20.61 cnf(matrix-3286, plain, ( ( c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls)) )).
% 20.36/20.61 cnf(matrix-3287, plain, ( ~class_Int_Onumber__ring(_u5565) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5565), c_Int_OBit1(_u5566)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5565), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5565), c_Groups_Oone__class_Oone(_u5565)), hAPP(c_Int_Onumber__class_Onumber__of(_u5565), _u5566))), hAPP(c_Int_Onumber__class_Onumber__of(_u5565), _u5566))) )).
% 20.36/20.61 cnf(matrix-3288, plain, ( ~class_Int_Onumber__ring(_u5567) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5567), hAPP(c_Int_Onumber__class_Onumber__of(_u5567), c_Int_OBit1(c_Int_OPls))), _u5568) = _u5568) )).
% 20.36/20.61 cnf(matrix-3289, plain, ( ~class_Int_Onumber__ring(_u5569) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5569), _u5570), hAPP(c_Int_Onumber__class_Onumber__of(_u5569), c_Int_OBit1(c_Int_OPls))) = _u5570) )).
% 20.36/20.61 cnf(matrix-3290, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5571), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5572), _u5571)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5571, _u5572) = _u5571) )).
% 20.36/20.61 cnf(matrix-3291, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5573), 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, _u5574, _u5573)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3292, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5573), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5573), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5574, _u5573))) )).
% 20.36/20.61 cnf(matrix-3293, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5575), 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, _u5576, _u5575)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3294, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5577)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5577), _u5578)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5577, _u5578) = _u5577) )).
% 20.36/20.61 cnf(matrix-3295, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5579)) | 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, _u5580, _u5579))) )).
% 20.36/20.61 cnf(matrix-3296, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5579)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5580, _u5579)), _u5579)) )).
% 20.36/20.61 cnf(matrix-3297, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5581)) | 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, _u5582, _u5581))) )).
% 20.36/20.61 cnf(matrix-3298, plain, ( ~class_Int_Onumber__ring(_u5583) | ( c_Groups_Oone__class_Oone(_u5583) = hAPP(c_Int_Onumber__class_Onumber__of(_u5583), c_Int_OBit1(c_Int_OPls))) )).
% 20.36/20.61 cnf(matrix-3299, plain, ( ~class_Int_Onumber__ring(_u5584) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5584), c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(_u5584)) )).
% 20.36/20.61 cnf(matrix-3300, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u5586))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u5586)) )).
% 20.36/20.61 cnf(matrix-3301, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u5587)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u5587))) )).
% 20.36/20.61 cnf(matrix-3302, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5589)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5589), c_Int_OPls)) )).
% 20.36/20.61 cnf(matrix-3303, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5590), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5590)), c_Int_OPls)) )).
% 20.36/20.61 cnf(matrix-3304, plain, ( ~class_Fields_Ofield(_u5591) | ~class_Int_Onumber__ring(_u5591) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5591), _u5592), hAPP(c_Int_Onumber__class_Onumber__of(_u5591), c_Int_OBit1(c_Int_OPls))) = _u5592) )).
% 20.36/20.61 cnf(matrix-3305, plain, ( ~class_Fields_Ofield(_u5593) | ~class_Int_Onumber__ring(_u5593) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5593), _u5594), hAPP(c_Int_Onumber__class_Onumber__of(_u5593), c_Int_OBit1(c_Int_OPls))) = _u5594) )).
% 20.36/20.61 cnf(matrix-3306, 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))) )).
% 20.36/20.61 cnf(matrix-3307, 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)) )).
% 20.36/20.61 cnf(matrix-3308, 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))) )).
% 20.36/20.61 cnf(matrix-3309, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5595)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5595), _u5596)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5595, _u5596) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5595), _u5596)) )).
% 20.36/20.61 cnf(matrix-3310, 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))) )).
% 20.36/20.61 cnf(matrix-3311, 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))))) )).
% 20.36/20.61 cnf(matrix-3312, 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))))) )).
% 20.36/20.61 cnf(matrix-3313, plain, ( ( hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u5597))) = 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)))), _u5597)) )).
% 20.36/20.61 cnf(matrix-3314, 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))))) )).
% 20.36/20.61 cnf(matrix-3315, plain, ( ~class_Int_Onumber__ring(_u5598) | ~class_Rings_Olinordered__idom(_u5598) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5598), hAPP(c_Int_Onumber__class_Onumber__of(_u5598), _u5599)), c_Groups_Oone__class_Oone(_u5598))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5599), c_Int_OBit1(c_Int_OPls))) )).
% 20.36/20.61 cnf(matrix-3316, plain, ( ~class_Int_Onumber__ring(_u5598) | ~class_Rings_Olinordered__idom(_u5598) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5599), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5598), hAPP(c_Int_Onumber__class_Onumber__of(_u5598), _u5599)), c_Groups_Oone__class_Oone(_u5598))) )).
% 20.36/20.61 cnf(matrix-3317, plain, ( ~class_Int_Onumber__ring(_u5600) | ~class_Rings_Olinordered__idom(_u5600) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5600), c_Groups_Oone__class_Oone(_u5600)), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u5601)) )).
% 20.36/20.61 cnf(matrix-3318, plain, ( ~class_Int_Onumber__ring(_u5600) | ~class_Rings_Olinordered__idom(_u5600) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u5601)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5600), c_Groups_Oone__class_Oone(_u5600)), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601))) )).
% 20.36/20.61 cnf(matrix-3319, plain, ( ~class_Int_Onumber__ring(_u5602) | ~class_Rings_Olinordered__idom(_u5602) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5602), c_Groups_Oone__class_Oone(_u5602)), hAPP(c_Int_Onumber__class_Onumber__of(_u5602), _u5603))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u5603)) )).
% 20.36/20.61 cnf(matrix-3320, plain, ( ~class_Int_Onumber__ring(_u5602) | ~class_Rings_Olinordered__idom(_u5602) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u5603)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5602), c_Groups_Oone__class_Oone(_u5602)), hAPP(c_Int_Onumber__class_Onumber__of(_u5602), _u5603))) )).
% 20.36/20.61 cnf(matrix-3321, plain, ( ~class_Int_Onumber__ring(_u5604) | ~class_Rings_Olinordered__idom(_u5604) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5605)), c_Groups_Oone__class_Oone(_u5604))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5605), c_Int_OBit1(c_Int_OPls))) )).
% 20.36/20.61 cnf(matrix-3322, plain, ( ~class_Int_Onumber__ring(_u5604) | ~class_Rings_Olinordered__idom(_u5604) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5605), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5605)), c_Groups_Oone__class_Oone(_u5604))) )).
% 20.36/20.61 cnf(matrix-3323, plain, ( ~class_Int_Onumber__ring(_u5606) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5606), hAPP(c_Int_Onumber__class_Onumber__of(_u5606), _u5607)), c_Groups_Oone__class_Oone(_u5606)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5606), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5607), c_Int_OBit1(c_Int_OPls)))) )).
% 20.36/20.61 cnf(matrix-3324, plain, ( ~class_Int_Onumber__ring(_u5608) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5608), c_Groups_Oone__class_Oone(_u5608)), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5609)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5608), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u5609))) )).
% 20.36/20.61 cnf(matrix-3325, plain, ( ~hBOOL(hAPP(_u5621, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5623, _u5625))) | ( _u5625 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u5621, _u5623)) )).
% 20.36/20.61 cnf(matrix-3326, plain, ( ~hBOOL(hAPP(_u5621, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5623, _u5625))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5625)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5610)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5610), _u5625)) | ( _u5623 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5625), _u5611)), _u5610)) | hBOOL(hAPP(_u5621, _u5610)) )).
% 20.36/20.61 cnf(matrix-3327, plain, ( ~hBOOL(hAPP(_u5621, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5623, _u5625))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5625), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5625), _u5612)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5612), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u5623 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5625), _u5613)), _u5612)) | hBOOL(hAPP(_u5621, _u5612)) )).
% 20.36/20.61 cnf(matrix-3328, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5626), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u5626 = 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)), _u5626)) )).
% 20.36/20.61 cnf(matrix-3329, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5626), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u5626 = 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)), skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.61 cnf(matrix-3330, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5626), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u5626 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem127(_u5626, _u5624, _u5622)), _u5626)) )).
% 20.36/20.61 cnf(matrix-3331, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5626), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u5626 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5624 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5626), skolem126(_u5626, _u5624, _u5622))), skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.61 cnf(matrix-3332, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5626), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u5626 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u5622, skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.61 cnf(matrix-3333, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5626), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u5622, _u5624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5626)) )).
% 20.36/20.61 cnf(matrix-3334, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5626), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u5622, _u5624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.61 cnf(matrix-3335, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5626), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u5622, _u5624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem127(_u5626, _u5624, _u5622)), _u5626)) )).
% 20.36/20.61 cnf(matrix-3336, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5626), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u5622, _u5624)) | ( _u5624 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5626), skolem126(_u5626, _u5624, _u5622))), skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.61 cnf(matrix-3337, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5626), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u5622, _u5624)) | ~hBOOL(hAPP(_u5622, skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.61 cnf(matrix-3338, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5626), skolem129(_u5626, _u5624, _u5622))) | ( _u5626 = 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)), _u5626)) )).
% 20.36/20.61 cnf(matrix-3339, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5626), skolem129(_u5626, _u5624, _u5622))) | ( _u5626 = 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)), skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.61 cnf(matrix-3340, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5626), skolem129(_u5626, _u5624, _u5622))) | ( _u5626 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem127(_u5626, _u5624, _u5622)), _u5626)) )).
% 20.36/20.61 cnf(matrix-3341, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5626), skolem129(_u5626, _u5624, _u5622))) | ( _u5626 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5624 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5626), skolem126(_u5626, _u5624, _u5622))), skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.61 cnf(matrix-3342, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5626), skolem129(_u5626, _u5624, _u5622))) | ( _u5626 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u5622, skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.61 cnf(matrix-3343, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem129(_u5626, _u5624, _u5622)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u5626 = 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)), _u5626)) )).
% 20.36/20.61 cnf(matrix-3344, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem129(_u5626, _u5624, _u5622)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u5626 = 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)), skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.61 cnf(matrix-3345, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem129(_u5626, _u5624, _u5622)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u5626 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem127(_u5626, _u5624, _u5622)), _u5626)) )).
% 20.36/20.61 cnf(matrix-3346, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem129(_u5626, _u5624, _u5622)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u5626 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5624 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5626), skolem126(_u5626, _u5624, _u5622))), skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.61 cnf(matrix-3347, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem129(_u5626, _u5624, _u5622)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u5626 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u5622, skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.61 cnf(matrix-3348, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | ( _u5624 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5626), skolem128(_u5626, _u5624, _u5622))), skolem129(_u5626, _u5624, _u5622))) | ( _u5626 = 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)), _u5626)) )).
% 20.36/20.61 cnf(matrix-3349, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | ( _u5624 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5626), skolem128(_u5626, _u5624, _u5622))), skolem129(_u5626, _u5624, _u5622))) | ( _u5626 = 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)), skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.61 cnf(matrix-3350, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | ( _u5624 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5626), skolem128(_u5626, _u5624, _u5622))), skolem129(_u5626, _u5624, _u5622))) | ( _u5626 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem127(_u5626, _u5624, _u5622)), _u5626)) )).
% 20.36/20.61 cnf(matrix-3351, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | ( _u5624 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5626), skolem128(_u5626, _u5624, _u5622))), skolem129(_u5626, _u5624, _u5622))) | ( _u5626 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5624 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5626), skolem126(_u5626, _u5624, _u5622))), skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.61 cnf(matrix-3352, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | ( _u5624 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5626), skolem128(_u5626, _u5624, _u5622))), skolem129(_u5626, _u5624, _u5622))) | ( _u5626 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u5622, skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.61 cnf(matrix-3353, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | ~hBOOL(hAPP(_u5622, skolem129(_u5626, _u5624, _u5622))) | ( _u5626 = 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)), _u5626)) )).
% 20.36/20.61 cnf(matrix-3354, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | ~hBOOL(hAPP(_u5622, skolem129(_u5626, _u5624, _u5622))) | ( _u5626 = 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)), skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.61 cnf(matrix-3355, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | ~hBOOL(hAPP(_u5622, skolem129(_u5626, _u5624, _u5622))) | ( _u5626 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem127(_u5626, _u5624, _u5622)), _u5626)) )).
% 20.36/20.61 cnf(matrix-3356, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | ~hBOOL(hAPP(_u5622, skolem129(_u5626, _u5624, _u5622))) | ( _u5626 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5624 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5626), skolem126(_u5626, _u5624, _u5622))), skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.61 cnf(matrix-3357, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | ~hBOOL(hAPP(_u5622, skolem129(_u5626, _u5624, _u5622))) | ( _u5626 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u5622, skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.61 cnf(matrix-3358, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5626), skolem129(_u5626, _u5624, _u5622))) | ~hBOOL(hAPP(_u5622, _u5624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5626)) )).
% 20.36/20.61 cnf(matrix-3359, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5626), skolem129(_u5626, _u5624, _u5622))) | ~hBOOL(hAPP(_u5622, _u5624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.61 cnf(matrix-3360, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5626), skolem129(_u5626, _u5624, _u5622))) | ~hBOOL(hAPP(_u5622, _u5624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem127(_u5626, _u5624, _u5622)), _u5626)) )).
% 20.36/20.61 cnf(matrix-3361, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5626), skolem129(_u5626, _u5624, _u5622))) | ~hBOOL(hAPP(_u5622, _u5624)) | ( _u5624 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5626), skolem126(_u5626, _u5624, _u5622))), skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.61 cnf(matrix-3362, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5626), skolem129(_u5626, _u5624, _u5622))) | ~hBOOL(hAPP(_u5622, _u5624)) | ~hBOOL(hAPP(_u5622, skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.61 cnf(matrix-3363, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem129(_u5626, _u5624, _u5622)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u5622, _u5624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5626)) )).
% 20.36/20.61 cnf(matrix-3364, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem129(_u5626, _u5624, _u5622)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u5622, _u5624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.61 cnf(matrix-3365, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem129(_u5626, _u5624, _u5622)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u5622, _u5624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem127(_u5626, _u5624, _u5622)), _u5626)) )).
% 20.36/20.61 cnf(matrix-3366, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem129(_u5626, _u5624, _u5622)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u5622, _u5624)) | ( _u5624 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5626), skolem126(_u5626, _u5624, _u5622))), skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.61 cnf(matrix-3367, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem129(_u5626, _u5624, _u5622)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u5622, _u5624)) | ~hBOOL(hAPP(_u5622, skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.61 cnf(matrix-3368, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | ( _u5624 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5626), skolem128(_u5626, _u5624, _u5622))), skolem129(_u5626, _u5624, _u5622))) | ~hBOOL(hAPP(_u5622, _u5624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5626)) )).
% 20.36/20.61 cnf(matrix-3369, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | ( _u5624 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5626), skolem128(_u5626, _u5624, _u5622))), skolem129(_u5626, _u5624, _u5622))) | ~hBOOL(hAPP(_u5622, _u5624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.61 cnf(matrix-3370, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | ( _u5624 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5626), skolem128(_u5626, _u5624, _u5622))), skolem129(_u5626, _u5624, _u5622))) | ~hBOOL(hAPP(_u5622, _u5624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem127(_u5626, _u5624, _u5622)), _u5626)) )).
% 20.36/20.61 cnf(matrix-3371, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | ( _u5624 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5626), skolem128(_u5626, _u5624, _u5622))), skolem129(_u5626, _u5624, _u5622))) | ~hBOOL(hAPP(_u5622, _u5624)) | ( _u5624 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5626), skolem126(_u5626, _u5624, _u5622))), skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.61 cnf(matrix-3372, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | ( _u5624 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5626), skolem128(_u5626, _u5624, _u5622))), skolem129(_u5626, _u5624, _u5622))) | ~hBOOL(hAPP(_u5622, _u5624)) | ~hBOOL(hAPP(_u5622, skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.61 cnf(matrix-3373, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | ~hBOOL(hAPP(_u5622, skolem129(_u5626, _u5624, _u5622))) | ~hBOOL(hAPP(_u5622, _u5624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5626)) )).
% 20.36/20.61 cnf(matrix-3374, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | ~hBOOL(hAPP(_u5622, skolem129(_u5626, _u5624, _u5622))) | ~hBOOL(hAPP(_u5622, _u5624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.61 cnf(matrix-3375, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | ~hBOOL(hAPP(_u5622, skolem129(_u5626, _u5624, _u5622))) | ~hBOOL(hAPP(_u5622, _u5624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem127(_u5626, _u5624, _u5622)), _u5626)) )).
% 20.36/20.61 cnf(matrix-3376, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | ~hBOOL(hAPP(_u5622, skolem129(_u5626, _u5624, _u5622))) | ~hBOOL(hAPP(_u5622, _u5624)) | ( _u5624 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5626), skolem126(_u5626, _u5624, _u5622))), skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.61 cnf(matrix-3377, plain, ( hBOOL(hAPP(_u5622, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5624, _u5626))) | ~hBOOL(hAPP(_u5622, skolem129(_u5626, _u5624, _u5622))) | ~hBOOL(hAPP(_u5622, _u5624)) | ~hBOOL(hAPP(_u5622, skolem127(_u5626, _u5624, _u5622))) )).
% 20.36/20.61 cnf(matrix-3378, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5627)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5628)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5628), _u5629)) | 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), _u5629), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5630, _u5627))), _u5628))) )).
% 20.36/20.61 cnf(matrix-3379, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5631)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5632)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5632), _u5633)) | 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), _u5633), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5634, _u5631))), _u5632)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5633), _u5631))) )).
% 20.36/20.61 cnf(matrix-3380, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5635)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5636), _u5637)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5637), 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), _u5636), _u5635)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5636), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5638, _u5635))), _u5637))) )).
% 20.36/20.61 cnf(matrix-3381, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5639), 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)))), _u5640)), 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)))), _u5639)) = 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), _u5640), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u5639))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3382, 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), _u5643))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u5645)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5643))) = 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), _u5645), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5643)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3383, 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), _u5644))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u5646)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5644))) = 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), _u5646)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5644)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3384, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5647)) | ( 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)))), _u5648)), 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)))), _u5647)) = 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, _u5648, _u5647)))) )).
% 20.36/20.61 cnf(matrix-3385, 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))) )).
% 20.36/20.61 cnf(matrix-3386, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5649)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u5649) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5649), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3387, plain, ( ~class_Int_Onumber__ring(_u5650) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5650), hAPP(c_Int_Onumber__class_Onumber__of(_u5650), _u5651)), c_Groups_Oone__class_Oone(_u5650)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5650), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5651), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 20.36/20.61 cnf(matrix-3388, 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), _u5652))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5653))) )).
% 20.36/20.61 cnf(matrix-3389, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u5654)))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5655))) )).
% 20.36/20.61 cnf(matrix-3390, plain, ( ~class_Int_Onumber__ring(_u5656) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5656), hAPP(c_Int_Onumber__class_Onumber__of(_u5656), c_Int_OMin)), _u5657) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5656), _u5657)) )).
% 20.36/20.61 cnf(matrix-3391, plain, ( ~class_Int_Onumber__ring(_u5658) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5658), _u5659), hAPP(c_Int_Onumber__class_Onumber__of(_u5658), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5658), _u5659)) )).
% 20.36/20.61 cnf(matrix-3392, plain, ( ~class_Int_Onumber__ring(_u5660) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5660), hAPP(c_Groups_Ouminus__class_Ouminus(_u5660), hAPP(c_Int_Onumber__class_Onumber__of(_u5660), _u5661))), _u5662) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5660), hAPP(c_Int_Onumber__class_Onumber__of(_u5660), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5661))), _u5662)) )).
% 20.36/20.61 cnf(matrix-3393, plain, ( ( c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin)) )).
% 20.36/20.61 cnf(matrix-3394, plain, ( ~class_Int_Onumber__ring(_u5663) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5663), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5664)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5663), hAPP(c_Int_Onumber__class_Onumber__of(_u5663), _u5664))) )).
% 20.36/20.61 cnf(matrix-3395, plain, ( ~class_Int_Onumber__ring(_u5665) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5665), hAPP(c_Int_Onumber__class_Onumber__of(_u5665), _u5666)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5665), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5666))) )).
% 20.36/20.61 cnf(matrix-3396, 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)) )).
% 20.36/20.61 cnf(matrix-3397, plain, ( ( c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3398, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5667)) = _u5667) )).
% 20.36/20.61 cnf(matrix-3399, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit0(_u5668)) = c_Int_OBit0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5668))) )).
% 20.36/20.61 cnf(matrix-3400, plain, ( ( c_Int_OMin != c_Int_OBit0(_u5669)) )).
% 20.36/20.61 cnf(matrix-3401, plain, ( ( c_Int_OBit0(_u5670) != c_Int_OMin) )).
% 20.36/20.61 cnf(matrix-3402, plain, ( ( c_Int_OBit0(_u5673) != c_Int_OBit0(_u5675)) | ( _u5673 = _u5675) )).
% 20.36/20.61 cnf(matrix-3403, plain, ( ( _u5674 != _u5676) | ( c_Int_OBit0(_u5674) = c_Int_OBit0(_u5676)) )).
% 20.36/20.61 cnf(matrix-3404, plain, ( ~class_Groups_Ogroup__add(_u5677) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5677), hAPP(c_Groups_Ouminus__class_Ouminus(_u5677), _u5678)) = _u5678) )).
% 20.36/20.61 cnf(matrix-3405, plain, ( ~class_Groups_Ogroup__add(_u5679) | ( _u5680 != hAPP(c_Groups_Ouminus__class_Ouminus(_u5679), _u5681)) | ( _u5681 = hAPP(c_Groups_Ouminus__class_Ouminus(_u5679), _u5680)) )).
% 20.36/20.61 cnf(matrix-3406, plain, ( ~class_Groups_Ogroup__add(_u5679) | ( _u5681 != hAPP(c_Groups_Ouminus__class_Ouminus(_u5679), _u5680)) | ( _u5680 = hAPP(c_Groups_Ouminus__class_Ouminus(_u5679), _u5681)) )).
% 20.36/20.61 cnf(matrix-3407, plain, ( ~class_Groups_Ogroup__add(_u5682) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5682), _u5683) != _u5684) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5682), _u5684) = _u5683) )).
% 20.36/20.61 cnf(matrix-3408, plain, ( ~class_Groups_Ogroup__add(_u5682) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5682), _u5684) != _u5683) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5682), _u5683) = _u5684) )).
% 20.36/20.61 cnf(matrix-3409, plain, ( ~class_Groups_Ogroup__add(_u5685) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5685), _u5686) != hAPP(c_Groups_Ouminus__class_Ouminus(_u5685), _u5687)) | ( _u5686 = _u5687) )).
% 20.36/20.61 cnf(matrix-3410, plain, ( ~class_Groups_Ogroup__add(_u5685) | ( _u5686 != _u5687) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5685), _u5686) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5685), _u5687)) )).
% 20.36/20.61 cnf(matrix-3411, plain, ( ~class_Lattices_Oboolean__algebra(_u5688) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5688), hAPP(c_Groups_Ouminus__class_Ouminus(_u5688), _u5689)) = _u5689) )).
% 20.36/20.61 cnf(matrix-3412, plain, ( ~class_Groups_Ouminus(_u5690) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5691, _u5690)), _u5692), _u5693) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5690), hAPP(_u5692, _u5693))) )).
% 20.36/20.61 cnf(matrix-3413, plain, ( ~class_Lattices_Oboolean__algebra(_u5694) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5694), _u5695) != hAPP(c_Groups_Ouminus__class_Ouminus(_u5694), _u5696)) | ( _u5695 = _u5696) )).
% 20.36/20.61 cnf(matrix-3414, plain, ( ~class_Lattices_Oboolean__algebra(_u5694) | ( _u5695 != _u5696) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5694), _u5695) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5694), _u5696)) )).
% 20.36/20.61 cnf(matrix-3415, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5698)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5698), c_Int_OMin)) )).
% 20.36/20.61 cnf(matrix-3416, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5699), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5699)), c_Int_OMin)) )).
% 20.36/20.61 cnf(matrix-3417, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OMin), _u5700) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5700)) )).
% 20.36/20.61 cnf(matrix-3418, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u5702))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u5702)) )).
% 20.36/20.61 cnf(matrix-3419, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u5703)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u5703))) )).
% 20.36/20.61 cnf(matrix-3420, plain, ( ~class_Int_Onumber__ring(_u5704) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5704), c_Groups_Oone__class_Oone(_u5704)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5704), c_Int_OMin)) )).
% 20.36/20.61 cnf(matrix-3421, plain, ( ~class_Int_Onumber__ring(_u5705) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5705), c_Int_OMin) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5705), c_Groups_Oone__class_Oone(_u5705))) )).
% 20.36/20.61 cnf(matrix-3422, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5707)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5707), c_Int_OMin)) )).
% 20.36/20.61 cnf(matrix-3423, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5708), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5708)), c_Int_OMin)) )).
% 20.36/20.61 cnf(matrix-3424, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u5710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u5710)) )).
% 20.36/20.61 cnf(matrix-3425, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u5711)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u5711))) )).
% 20.36/20.61 cnf(matrix-3426, plain, ( ~class_Fields_Ofield__inverse__zero(_u5712) | ~class_Int_Onumber__ring(_u5712) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5712), _u5713), hAPP(c_Int_Onumber__class_Onumber__of(_u5712), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5712), _u5713)) )).
% 20.36/20.61 cnf(matrix-3427, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OMin) = c_Int_OBit1(c_Int_OPls)) )).
% 20.36/20.61 cnf(matrix-3428, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u5714)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u5714))) )).
% 20.36/20.61 cnf(matrix-3429, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u5715)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u5715))) )).
% 20.36/20.61 cnf(matrix-3430, plain, ( ~class_Lattices_Oboolean__algebra(_u5716) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5716), _u5717), _u5718)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5716), hAPP(c_Groups_Ouminus__class_Ouminus(_u5716), _u5718)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5716), _u5717))) )).
% 20.36/20.61 cnf(matrix-3431, plain, ( ~class_Lattices_Oboolean__algebra(_u5719) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5719), hAPP(c_Groups_Ouminus__class_Ouminus(_u5719), _u5720)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5719), _u5721))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5719), _u5721), _u5720)) )).
% 20.36/20.61 cnf(matrix-3432, plain, ( ~class_Lattices_Oboolean__algebra(_u5719) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5719), _u5721), _u5720)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5719), hAPP(c_Groups_Ouminus__class_Ouminus(_u5719), _u5720)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5719), _u5721))) )).
% 20.36/20.61 cnf(matrix-3433, plain, ( ~class_Groups_Oordered__ab__group__add(_u5722) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5722), _u5723), _u5724)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5722), hAPP(c_Groups_Ouminus__class_Ouminus(_u5722), _u5724)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5722), _u5723))) )).
% 20.36/20.61 cnf(matrix-3434, plain, ( ~class_Groups_Oordered__ab__group__add(_u5725) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5725), hAPP(c_Groups_Ouminus__class_Ouminus(_u5725), _u5726)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5725), _u5727))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5725), _u5727), _u5726)) )).
% 20.36/20.61 cnf(matrix-3435, plain, ( ~class_Groups_Oordered__ab__group__add(_u5725) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5725), _u5727), _u5726)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5725), hAPP(c_Groups_Ouminus__class_Ouminus(_u5725), _u5726)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5725), _u5727))) )).
% 20.36/20.61 cnf(matrix-3436, plain, ( ~class_Groups_Oordered__ab__group__add(_u5728) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5728), hAPP(c_Groups_Ouminus__class_Ouminus(_u5728), _u5729)), _u5730)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5728), hAPP(c_Groups_Ouminus__class_Ouminus(_u5728), _u5730)), _u5729)) )).
% 20.36/20.61 cnf(matrix-3437, plain, ( ~class_Groups_Oordered__ab__group__add(_u5728) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5728), hAPP(c_Groups_Ouminus__class_Ouminus(_u5728), _u5730)), _u5729)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5728), hAPP(c_Groups_Ouminus__class_Ouminus(_u5728), _u5729)), _u5730)) )).
% 20.36/20.61 cnf(matrix-3438, plain, ( ~class_Groups_Oordered__ab__group__add(_u5731) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5731), _u5732), hAPP(c_Groups_Ouminus__class_Ouminus(_u5731), _u5733))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5731), _u5733), hAPP(c_Groups_Ouminus__class_Ouminus(_u5731), _u5732))) )).
% 20.36/20.61 cnf(matrix-3439, plain, ( ~class_Groups_Oordered__ab__group__add(_u5731) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5731), _u5733), hAPP(c_Groups_Ouminus__class_Ouminus(_u5731), _u5732))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5731), _u5732), hAPP(c_Groups_Ouminus__class_Ouminus(_u5731), _u5733))) )).
% 20.36/20.61 cnf(matrix-3440, plain, ( ~class_Groups_Ogroup__add(_u5734) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5734), c_Groups_Ozero__class_Ozero(_u5734)) = c_Groups_Ozero__class_Ozero(_u5734)) )).
% 20.36/20.61 cnf(matrix-3441, plain, ( ~class_Groups_Ogroup__add(_u5735) | ( c_Groups_Ozero__class_Ozero(_u5735) != hAPP(c_Groups_Ouminus__class_Ouminus(_u5735), _u5736)) | ( c_Groups_Ozero__class_Ozero(_u5735) = _u5736) )).
% 20.36/20.61 cnf(matrix-3442, plain, ( ~class_Groups_Ogroup__add(_u5735) | ( c_Groups_Ozero__class_Ozero(_u5735) != _u5736) | ( c_Groups_Ozero__class_Ozero(_u5735) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5735), _u5736)) )).
% 20.36/20.61 cnf(matrix-3443, plain, ( ~class_Groups_Olinordered__ab__group__add(_u5737) | ( _u5738 != hAPP(c_Groups_Ouminus__class_Ouminus(_u5737), _u5738)) | ( _u5738 = c_Groups_Ozero__class_Ozero(_u5737)) )).
% 20.36/20.61 cnf(matrix-3444, plain, ( ~class_Groups_Olinordered__ab__group__add(_u5737) | ( _u5738 != c_Groups_Ozero__class_Ozero(_u5737)) | ( _u5738 = hAPP(c_Groups_Ouminus__class_Ouminus(_u5737), _u5738)) )).
% 20.36/20.61 cnf(matrix-3445, plain, ( ~class_Groups_Ogroup__add(_u5739) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5739), _u5740) != c_Groups_Ozero__class_Ozero(_u5739)) | ( _u5740 = c_Groups_Ozero__class_Ozero(_u5739)) )).
% 20.36/20.61 cnf(matrix-3446, plain, ( ~class_Groups_Ogroup__add(_u5739) | ( _u5740 != c_Groups_Ozero__class_Ozero(_u5739)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5739), _u5740) = c_Groups_Ozero__class_Ozero(_u5739)) )).
% 20.36/20.61 cnf(matrix-3447, plain, ( ~class_Groups_Olinordered__ab__group__add(_u5741) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5741), _u5742) != _u5742) | ( _u5742 = c_Groups_Ozero__class_Ozero(_u5741)) )).
% 20.36/20.61 cnf(matrix-3448, plain, ( ~class_Groups_Olinordered__ab__group__add(_u5741) | ( _u5742 != c_Groups_Ozero__class_Ozero(_u5741)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5741), _u5742) = _u5742) )).
% 20.36/20.61 cnf(matrix-3449, plain, ( ~class_Groups_Oordered__ab__group__add(_u5743) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5743), _u5744), hAPP(c_Groups_Ouminus__class_Ouminus(_u5743), _u5745))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5743), _u5745), hAPP(c_Groups_Ouminus__class_Ouminus(_u5743), _u5744))) )).
% 20.36/20.61 cnf(matrix-3450, plain, ( ~class_Groups_Oordered__ab__group__add(_u5743) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5743), _u5745), hAPP(c_Groups_Ouminus__class_Ouminus(_u5743), _u5744))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5743), _u5744), hAPP(c_Groups_Ouminus__class_Ouminus(_u5743), _u5745))) )).
% 20.36/20.61 cnf(matrix-3451, plain, ( ~class_Groups_Oordered__ab__group__add(_u5746) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5746), hAPP(c_Groups_Ouminus__class_Ouminus(_u5746), _u5747)), _u5748)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5746), hAPP(c_Groups_Ouminus__class_Ouminus(_u5746), _u5748)), _u5747)) )).
% 20.36/20.61 cnf(matrix-3452, plain, ( ~class_Groups_Oordered__ab__group__add(_u5746) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5746), hAPP(c_Groups_Ouminus__class_Ouminus(_u5746), _u5748)), _u5747)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5746), hAPP(c_Groups_Ouminus__class_Ouminus(_u5746), _u5747)), _u5748)) )).
% 20.36/20.61 cnf(matrix-3453, plain, ( ~class_Groups_Oordered__ab__group__add(_u5749) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5749), hAPP(c_Groups_Ouminus__class_Ouminus(_u5749), _u5750)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5749), _u5751))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5749), _u5751), _u5750)) )).
% 20.36/20.61 cnf(matrix-3454, plain, ( ~class_Groups_Oordered__ab__group__add(_u5749) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5749), _u5751), _u5750)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5749), hAPP(c_Groups_Ouminus__class_Ouminus(_u5749), _u5750)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5749), _u5751))) )).
% 20.36/20.61 cnf(matrix-3455, plain, ( ~class_Groups_Oab__group__add(_u5752) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5752), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5752), _u5753), _u5754)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5752), hAPP(c_Groups_Ouminus__class_Ouminus(_u5752), _u5753)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5752), _u5754))) )).
% 20.36/20.61 cnf(matrix-3456, plain, ( ~class_Groups_Ogroup__add(_u5755) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5755), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5755), _u5756), _u5757)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5755), hAPP(c_Groups_Ouminus__class_Ouminus(_u5755), _u5757)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5755), _u5756))) )).
% 20.36/20.61 cnf(matrix-3457, plain, ( ~class_Groups_Ogroup__add(_u5758) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5758), _u5759), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5758), hAPP(c_Groups_Ouminus__class_Ouminus(_u5758), _u5759)), _u5760)) = _u5760) )).
% 20.36/20.61 cnf(matrix-3458, plain, ( ~class_Groups_Ogroup__add(_u5761) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5761), hAPP(c_Groups_Ouminus__class_Ouminus(_u5761), _u5762)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5761), _u5762), _u5763)) = _u5763) )).
% 20.36/20.61 cnf(matrix-3459, plain, ( ~class_Rings_Oidom(_u5764) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5764), _u5765), _u5765) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5764), _u5766), _u5766)) | ( _u5765 = _u5766) | ( _u5765 = hAPP(c_Groups_Ouminus__class_Ouminus(_u5764), _u5766)) )).
% 20.36/20.61 cnf(matrix-3460, plain, ( ~class_Rings_Oidom(_u5764) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5764), _u5765), _u5765) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5764), _u5766), _u5766)) | ( _u5765 != _u5766) )).
% 20.36/20.61 cnf(matrix-3461, plain, ( ~class_Rings_Oidom(_u5764) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5764), _u5765), _u5765) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5764), _u5766), _u5766)) | ( _u5765 != hAPP(c_Groups_Ouminus__class_Ouminus(_u5764), _u5766)) )).
% 20.36/20.61 cnf(matrix-3462, plain, ( ~class_Rings_Oring(_u5767) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5767), hAPP(c_Groups_Ouminus__class_Ouminus(_u5767), _u5768)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5767), _u5769)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5767), _u5768), _u5769)) )).
% 20.36/20.61 cnf(matrix-3463, plain, ( ~class_Rings_Oring(_u5770) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5770), hAPP(c_Groups_Ouminus__class_Ouminus(_u5770), _u5771)), _u5772) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5770), _u5771), hAPP(c_Groups_Ouminus__class_Ouminus(_u5770), _u5772))) )).
% 20.36/20.61 cnf(matrix-3464, plain, ( ~class_Rings_Oring(_u5773) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5773), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5773), _u5774), _u5775)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5773), hAPP(c_Groups_Ouminus__class_Ouminus(_u5773), _u5774)), _u5775)) )).
% 20.36/20.61 cnf(matrix-3465, plain, ( ~class_Rings_Oring(_u5776) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5776), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5776), _u5777), _u5778)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5776), _u5777), hAPP(c_Groups_Ouminus__class_Ouminus(_u5776), _u5778))) )).
% 20.36/20.61 cnf(matrix-3466, plain, ( ~class_Groups_Oab__group__add(_u5779) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5779), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5779), _u5780), _u5781)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5779), _u5781), _u5780)) )).
% 20.36/20.61 cnf(matrix-3467, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u5782), _u5783) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5782, _u5783)), _u5783)) )).
% 20.36/20.61 cnf(matrix-3468, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5784), _u5785)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5784, _u5785) = _u5784) )).
% 20.36/20.61 cnf(matrix-3469, plain, ( ~class_Divides_Oring__div(_u5786) | ( c_Divides_Odiv__class_Omod(_u5786, hAPP(c_Groups_Ouminus__class_Ouminus(_u5786), _u5787), _u5788) = c_Divides_Odiv__class_Omod(_u5786, hAPP(c_Groups_Ouminus__class_Ouminus(_u5786), c_Divides_Odiv__class_Omod(_u5786, _u5787, _u5788)), _u5788)) )).
% 20.36/20.61 cnf(matrix-3470, plain, ( ~class_Divides_Oring__div(_u5789) | ( c_Divides_Odiv__class_Omod(_u5789, _u5790, _u5791) != c_Divides_Odiv__class_Omod(_u5789, _u5792, _u5791)) | ( c_Divides_Odiv__class_Omod(_u5789, hAPP(c_Groups_Ouminus__class_Ouminus(_u5789), _u5790), _u5791) = c_Divides_Odiv__class_Omod(_u5789, hAPP(c_Groups_Ouminus__class_Ouminus(_u5789), _u5792), _u5791)) )).
% 20.36/20.61 cnf(matrix-3471, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5793, _u5794)), _u5793)) )).
% 20.36/20.61 cnf(matrix-3472, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5797)), c_Int_OBit0(_u5799))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5797), _u5799)) )).
% 20.36/20.61 cnf(matrix-3473, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5798), _u5800)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5798)), c_Int_OBit0(_u5800))) )).
% 20.36/20.61 cnf(matrix-3474, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5803)), c_Int_OBit0(_u5805))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5803), _u5805)) )).
% 20.36/20.61 cnf(matrix-3475, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5804), _u5806)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5804)), c_Int_OBit0(_u5806))) )).
% 20.36/20.61 cnf(matrix-3476, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5809)), c_Int_OBit0(_u5811))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5809), _u5811)) )).
% 20.36/20.61 cnf(matrix-3477, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5810), _u5812)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5810)), c_Int_OBit0(_u5812))) )).
% 20.36/20.61 cnf(matrix-3478, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5815)), c_Int_OBit0(_u5817))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5815), _u5817)) )).
% 20.36/20.61 cnf(matrix-3479, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5816), _u5818)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5816)), c_Int_OBit0(_u5818))) )).
% 20.36/20.61 cnf(matrix-3480, 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)) )).
% 20.36/20.61 cnf(matrix-3481, plain, ( ( c_Int_OBit0(c_Int_OPls) = c_Int_OPls) )).
% 20.36/20.61 cnf(matrix-3482, plain, ( ( c_Int_OPls != c_Int_OBit0(_u5820)) | ( c_Int_OPls = _u5820) )).
% 20.36/20.61 cnf(matrix-3483, plain, ( ( c_Int_OPls != _u5821) | ( c_Int_OPls = c_Int_OBit0(_u5821)) )).
% 20.36/20.61 cnf(matrix-3484, plain, ( ( c_Int_OBit0(_u5823) != c_Int_OPls) | ( _u5823 = c_Int_OPls) )).
% 20.36/20.61 cnf(matrix-3485, plain, ( ( _u5824 != c_Int_OPls) | ( c_Int_OBit0(_u5824) = c_Int_OPls) )).
% 20.36/20.61 cnf(matrix-3486, plain, ( ( c_Int_OBit0(_u5825) != c_Int_OBit1(_u5826)) )).
% 20.36/20.61 cnf(matrix-3487, plain, ( ( c_Int_OBit1(_u5827) != c_Int_OBit0(_u5828)) )).
% 20.36/20.61 cnf(matrix-3488, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5829), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5830, _u5831)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5829), _u5830), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5829), _u5831))) )).
% 20.36/20.61 cnf(matrix-3489, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5832, _u5833)), _u5834) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5832), _u5834), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5833), _u5834))) )).
% 20.36/20.61 cnf(matrix-3490, plain, ( ( c_Int_OBit0(_u5835) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5835), _u5835)) )).
% 20.36/20.61 cnf(matrix-3491, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u5836)), c_Int_OBit0(_u5837)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5836), _u5837))) )).
% 20.36/20.61 cnf(matrix-3492, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OMin)) )).
% 20.36/20.61 cnf(matrix-3493, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OMin)) )).
% 20.36/20.61 cnf(matrix-3494, plain, ( ~class_Rings_Odivision__ring(_u5838) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5838), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5838), _u5839), _u5840)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5838), hAPP(c_Groups_Ouminus__class_Ouminus(_u5838), _u5839)), _u5840)) )).
% 20.36/20.61 cnf(matrix-3495, plain, ( ~class_Fields_Ofield__inverse__zero(_u5841) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5841), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5841), _u5842), _u5843)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5841), _u5842), hAPP(c_Groups_Ouminus__class_Ouminus(_u5841), _u5843))) )).
% 20.36/20.61 cnf(matrix-3496, plain, ( ~class_Fields_Ofield__inverse__zero(_u5844) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5844), hAPP(c_Groups_Ouminus__class_Ouminus(_u5844), _u5845)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5844), _u5846)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5844), _u5845), _u5846)) )).
% 20.36/20.61 cnf(matrix-3497, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit0(_u5847)), _u5848) = c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5847), _u5848))) )).
% 20.36/20.61 cnf(matrix-3498, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5849) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5849), hAPP(c_Groups_Ouminus__class_Ouminus(_u5849), _u5850)) = hAPP(c_Groups_Oabs__class_Oabs(_u5849), _u5850)) )).
% 20.36/20.61 cnf(matrix-3499, plain, ( ( c_Int_OMin != c_Int_OPls) )).
% 20.36/20.61 cnf(matrix-3500, plain, ( ( c_Int_OPls != c_Int_OMin) )).
% 20.36/20.61 cnf(matrix-3501, plain, ( ( c_Int_OBit1(c_Int_OMin) = c_Int_OMin) )).
% 20.36/20.61 cnf(matrix-3502, plain, ( ( c_Int_OMin != c_Int_OBit1(_u5852)) | ( c_Int_OMin = _u5852) )).
% 20.36/20.61 cnf(matrix-3503, plain, ( ( c_Int_OMin != _u5853) | ( c_Int_OMin = c_Int_OBit1(_u5853)) )).
% 20.36/20.61 cnf(matrix-3504, plain, ( ( c_Int_OBit1(_u5855) != c_Int_OMin) | ( _u5855 = c_Int_OMin) )).
% 20.36/20.61 cnf(matrix-3505, plain, ( ( _u5856 != c_Int_OMin) | ( c_Int_OBit1(_u5856) = c_Int_OMin) )).
% 20.36/20.61 cnf(matrix-3506, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls) = c_Int_OPls) )).
% 20.36/20.61 cnf(matrix-3507, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5857), _u5858)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5857)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5858))) )).
% 20.36/20.61 cnf(matrix-3508, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5859)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5859))) )).
% 20.36/20.61 cnf(matrix-3509, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u5860)), c_Int_OBit0(_u5861)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5860), _u5861))) )).
% 20.36/20.61 cnf(matrix-3510, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5862)), _u5863) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5862), _u5863))) )).
% 20.36/20.61 cnf(matrix-3511, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5864, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5865)) = 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), _u5864), _u5865))) )).
% 20.36/20.61 cnf(matrix-3512, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5866), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5867)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5866, _u5867))) )).
% 20.36/20.61 cnf(matrix-3513, 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, _u5868, _u5869)), _u5869) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5868), _u5869)) )).
% 20.36/20.61 cnf(matrix-3514, plain, ( ~class_Fields_Ofield__inverse__zero(_u5870) | ~class_Int_Onumber__ring(_u5870) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5870), hAPP(c_Int_Onumber__class_Onumber__of(_u5870), c_Int_OMin)), _u5871) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5870), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5870), c_Groups_Oone__class_Oone(_u5870)), _u5871))) )).
% 20.36/20.61 cnf(matrix-3515, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u5872)), 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, _u5872, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 20.36/20.61 cnf(matrix-3516, plain, ( ~class_Groups_Oordered__ab__group__add(_u5873) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5873), c_Groups_Ozero__class_Ozero(_u5873)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5873), _u5874))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5873), _u5874), c_Groups_Ozero__class_Ozero(_u5873))) )).
% 20.36/20.61 cnf(matrix-3517, plain, ( ~class_Groups_Oordered__ab__group__add(_u5873) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5873), _u5874), c_Groups_Ozero__class_Ozero(_u5873))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5873), c_Groups_Ozero__class_Ozero(_u5873)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5873), _u5874))) )).
% 20.36/20.61 cnf(matrix-3518, plain, ( ~class_Groups_Olinordered__ab__group__add(_u5875) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5875), _u5876), hAPP(c_Groups_Ouminus__class_Ouminus(_u5875), _u5876))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5875), _u5876), c_Groups_Ozero__class_Ozero(_u5875))) )).
% 20.36/20.61 cnf(matrix-3519, plain, ( ~class_Groups_Olinordered__ab__group__add(_u5875) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5875), _u5876), c_Groups_Ozero__class_Ozero(_u5875))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5875), _u5876), hAPP(c_Groups_Ouminus__class_Ouminus(_u5875), _u5876))) )).
% 20.36/20.61 cnf(matrix-3520, plain, ( ~class_Groups_Oordered__ab__group__add(_u5877) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5877), hAPP(c_Groups_Ouminus__class_Ouminus(_u5877), _u5878)), c_Groups_Ozero__class_Ozero(_u5877))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5877), c_Groups_Ozero__class_Ozero(_u5877)), _u5878)) )).
% 20.36/20.61 cnf(matrix-3521, plain, ( ~class_Groups_Oordered__ab__group__add(_u5877) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5877), c_Groups_Ozero__class_Ozero(_u5877)), _u5878)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5877), hAPP(c_Groups_Ouminus__class_Ouminus(_u5877), _u5878)), c_Groups_Ozero__class_Ozero(_u5877))) )).
% 20.36/20.61 cnf(matrix-3522, plain, ( ~class_Groups_Olinordered__ab__group__add(_u5879) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5879), hAPP(c_Groups_Ouminus__class_Ouminus(_u5879), _u5880)), _u5880)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5879), c_Groups_Ozero__class_Ozero(_u5879)), _u5880)) )).
% 20.36/20.61 cnf(matrix-3523, plain, ( ~class_Groups_Olinordered__ab__group__add(_u5879) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5879), c_Groups_Ozero__class_Ozero(_u5879)), _u5880)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5879), hAPP(c_Groups_Ouminus__class_Ouminus(_u5879), _u5880)), _u5880)) )).
% 20.36/20.61 cnf(matrix-3524, plain, ( ~class_Rings_Olinordered__idom(_u5881) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5881), _u5882), hAPP(c_Groups_Ouminus__class_Ouminus(_u5881), _u5882))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5881), _u5882), c_Groups_Ozero__class_Ozero(_u5881))) )).
% 20.36/20.61 cnf(matrix-3525, plain, ( ~class_Rings_Olinordered__idom(_u5881) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5881), _u5882), c_Groups_Ozero__class_Ozero(_u5881))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5881), _u5882), hAPP(c_Groups_Ouminus__class_Ouminus(_u5881), _u5882))) )).
% 20.36/20.61 cnf(matrix-3526, plain, ( ~class_Groups_Oordered__ab__group__add(_u5883) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5883), c_Groups_Ozero__class_Ozero(_u5883)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5883), _u5884))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5883), _u5884), c_Groups_Ozero__class_Ozero(_u5883))) )).
% 20.36/20.61 cnf(matrix-3527, plain, ( ~class_Groups_Oordered__ab__group__add(_u5883) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5883), _u5884), c_Groups_Ozero__class_Ozero(_u5883))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5883), c_Groups_Ozero__class_Ozero(_u5883)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5883), _u5884))) )).
% 20.36/20.61 cnf(matrix-3528, plain, ( ~class_Groups_Oordered__ab__group__add(_u5885) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5885), hAPP(c_Groups_Ouminus__class_Ouminus(_u5885), _u5886)), c_Groups_Ozero__class_Ozero(_u5885))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5885), c_Groups_Ozero__class_Ozero(_u5885)), _u5886)) )).
% 20.36/20.61 cnf(matrix-3529, plain, ( ~class_Groups_Oordered__ab__group__add(_u5885) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5885), c_Groups_Ozero__class_Ozero(_u5885)), _u5886)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5885), hAPP(c_Groups_Ouminus__class_Ouminus(_u5885), _u5886)), c_Groups_Ozero__class_Ozero(_u5885))) )).
% 20.36/20.61 cnf(matrix-3530, plain, ( ~class_Groups_Olinordered__ab__group__add(_u5887) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5887), hAPP(c_Groups_Ouminus__class_Ouminus(_u5887), _u5888)), _u5888)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5887), c_Groups_Ozero__class_Ozero(_u5887)), _u5888)) )).
% 20.36/20.61 cnf(matrix-3531, plain, ( ~class_Groups_Olinordered__ab__group__add(_u5887) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5887), c_Groups_Ozero__class_Ozero(_u5887)), _u5888)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5887), hAPP(c_Groups_Ouminus__class_Ouminus(_u5887), _u5888)), _u5888)) )).
% 20.36/20.61 cnf(matrix-3532, plain, ( ~class_Groups_Ogroup__add(_u5889) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5889), _u5890), hAPP(c_Groups_Ouminus__class_Ouminus(_u5889), _u5890)) = c_Groups_Ozero__class_Ozero(_u5889)) )).
% 20.36/20.61 cnf(matrix-3533, plain, ( ~class_Groups_Ogroup__add(_u5891) | ( _u5892 != hAPP(c_Groups_Ouminus__class_Ouminus(_u5891), _u5893)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5891), _u5892), _u5893) = c_Groups_Ozero__class_Ozero(_u5891)) )).
% 20.36/20.61 cnf(matrix-3534, plain, ( ~class_Groups_Ogroup__add(_u5891) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5891), _u5892), _u5893) != c_Groups_Ozero__class_Ozero(_u5891)) | ( _u5892 = hAPP(c_Groups_Ouminus__class_Ouminus(_u5891), _u5893)) )).
% 20.36/20.61 cnf(matrix-3535, plain, ( ~class_Groups_Ogroup__add(_u5894) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5894), hAPP(c_Groups_Ouminus__class_Ouminus(_u5894), _u5895)), _u5895) = c_Groups_Ozero__class_Ozero(_u5894)) )).
% 20.36/20.61 cnf(matrix-3536, plain, ( ~class_Groups_Oab__group__add(_u5896) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5896), hAPP(c_Groups_Ouminus__class_Ouminus(_u5896), _u5897)), _u5897) = c_Groups_Ozero__class_Ozero(_u5896)) )).
% 20.36/20.61 cnf(matrix-3537, plain, ( ~class_Groups_Ogroup__add(_u5898) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5898), _u5899), _u5900) != c_Groups_Ozero__class_Ozero(_u5898)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5898), _u5899) = _u5900) )).
% 20.36/20.61 cnf(matrix-3538, plain, ( ~class_Groups_Ogroup__add(_u5901) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5901), c_Groups_Ozero__class_Ozero(_u5901)), _u5902) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5901), _u5902)) )).
% 20.36/20.61 cnf(matrix-3539, plain, ( ~class_Rings_Ocomm__ring__1(_u5903) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5903), _u5904), _u5905) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5903), _u5904), hAPP(c_Groups_Ouminus__class_Ouminus(_u5903), _u5905))) )).
% 20.36/20.61 cnf(matrix-3540, plain, ( ~class_Groups_Ogroup__add(_u5906) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5906), _u5907), _u5908) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5906), _u5907), hAPP(c_Groups_Ouminus__class_Ouminus(_u5906), _u5908))) )).
% 20.36/20.61 cnf(matrix-3541, plain, ( ~class_Groups_Oab__group__add(_u5909) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5909), _u5910), _u5911) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5909), _u5910), hAPP(c_Groups_Ouminus__class_Ouminus(_u5909), _u5911))) )).
% 20.36/20.61 cnf(matrix-3542, plain, ( ~class_Groups_Ogroup__add(_u5912) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5912), _u5913), hAPP(c_Groups_Ouminus__class_Ouminus(_u5912), _u5914)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5912), _u5913), _u5914)) )).
% 20.36/20.61 cnf(matrix-3543, plain, ( ~class_Rings_Ocomm__ring__1(_u5915) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5915), _u5916) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5915), hAPP(c_Groups_Ouminus__class_Ouminus(_u5915), c_Groups_Oone__class_Oone(_u5915))), _u5916)) )).
% 20.36/20.61 cnf(matrix-3544, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u5917) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5917), _u5918), _u5918) != c_Groups_Oone__class_Oone(_u5917)) | ( _u5918 = c_Groups_Oone__class_Oone(_u5917)) | ( _u5918 = hAPP(c_Groups_Ouminus__class_Ouminus(_u5917), c_Groups_Oone__class_Oone(_u5917))) )).
% 20.36/20.61 cnf(matrix-3545, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u5917) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5917), _u5918), _u5918) = c_Groups_Oone__class_Oone(_u5917)) | ( _u5918 != c_Groups_Oone__class_Oone(_u5917)) )).
% 20.36/20.61 cnf(matrix-3546, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u5917) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5917), _u5918), _u5918) = c_Groups_Oone__class_Oone(_u5917)) | ( _u5918 != hAPP(c_Groups_Ouminus__class_Ouminus(_u5917), c_Groups_Oone__class_Oone(_u5917))) )).
% 20.36/20.61 cnf(matrix-3547, plain, ( ~class_Lattices_Oboolean__algebra(_u5919) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5919), hAPP(c_Groups_Ouminus__class_Ouminus(_u5919), _u5920)), _u5920) = c_Orderings_Obot__class_Obot(_u5919)) )).
% 20.36/20.61 cnf(matrix-3548, plain, ( ~class_Lattices_Oboolean__algebra(_u5921) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5921), _u5922), hAPP(c_Groups_Ouminus__class_Ouminus(_u5921), _u5922)) = c_Orderings_Obot__class_Obot(_u5921)) )).
% 20.36/20.61 cnf(matrix-3549, plain, ( ~class_Lattices_Oboolean__algebra(_u5923) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5923), _u5924), _u5925) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5923), _u5924), hAPP(c_Groups_Ouminus__class_Ouminus(_u5923), _u5925))) )).
% 20.36/20.61 cnf(matrix-3550, plain, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5928, _u5930)) != _u5930) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u5928), _u5930) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-3551, plain, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5929, _u5931)) = _u5931) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u5929), _u5931) = hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5929, _u5931))) )).
% 20.36/20.61 cnf(matrix-3552, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5932, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-3553, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5933)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5934, _u5933)), _u5933)) )).
% 20.36/20.61 cnf(matrix-3554, plain, ( ~class_Lattices_Oboolean__algebra(_u5935) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5935), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5935), _u5936), _u5937)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u5935), hAPP(c_Groups_Ouminus__class_Ouminus(_u5935), _u5936)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5935), _u5937))) )).
% 20.36/20.61 cnf(matrix-3555, plain, ( ~class_Lattices_Oboolean__algebra(_u5938) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5938), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u5938), _u5939), _u5940)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5938), hAPP(c_Groups_Ouminus__class_Ouminus(_u5938), _u5939)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5938), _u5940))) )).
% 20.36/20.61 cnf(matrix-3556, plain, ( ~class_Rings_Odivision__ring(_u5941) | ( _u5942 = c_Groups_Ozero__class_Ozero(_u5941)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5941), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5941), _u5943), _u5942)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5941), _u5943), hAPP(c_Groups_Ouminus__class_Ouminus(_u5941), _u5942))) )).
% 20.36/20.61 cnf(matrix-3557, plain, ( ~class_Rings_Odivision__ring(_u5944) | ( _u5945 = c_Groups_Ozero__class_Ozero(_u5944)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5944), hAPP(c_Groups_Ouminus__class_Ouminus(_u5944), _u5946)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5944), _u5945)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5944), _u5946), _u5945)) )).
% 20.36/20.61 cnf(matrix-3558, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5947) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5947), hAPP(c_Groups_Oabs__class_Oabs(_u5947), _u5948)), _u5949)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5947), hAPP(c_Groups_Ouminus__class_Ouminus(_u5947), _u5948)), _u5949)) )).
% 20.36/20.61 cnf(matrix-3559, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5950) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5950), _u5951), _u5952)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5950), hAPP(c_Groups_Ouminus__class_Ouminus(_u5950), _u5951)), _u5952)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5950), hAPP(c_Groups_Oabs__class_Oabs(_u5950), _u5951)), _u5952)) )).
% 20.36/20.61 cnf(matrix-3560, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5953) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5953), hAPP(c_Groups_Oabs__class_Oabs(_u5953), _u5954)), _u5955)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5953), _u5954), _u5955)) )).
% 20.36/20.61 cnf(matrix-3561, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5953) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5953), hAPP(c_Groups_Oabs__class_Oabs(_u5953), _u5954)), _u5955)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5953), hAPP(c_Groups_Ouminus__class_Ouminus(_u5953), _u5954)), _u5955)) )).
% 20.36/20.61 cnf(matrix-3562, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5953) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5953), _u5954), _u5955)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5953), hAPP(c_Groups_Ouminus__class_Ouminus(_u5953), _u5954)), _u5955)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5953), hAPP(c_Groups_Oabs__class_Oabs(_u5953), _u5954)), _u5955)) )).
% 20.36/20.61 cnf(matrix-3563, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5956) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5956), hAPP(c_Groups_Ouminus__class_Ouminus(_u5956), _u5957)), hAPP(c_Groups_Oabs__class_Oabs(_u5956), _u5957))) )).
% 20.36/20.61 cnf(matrix-3564, plain, ( ~class_Rings_Olinordered__idom(_u5958) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5958), hAPP(c_Groups_Oabs__class_Oabs(_u5958), _u5959)), _u5960)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5958), _u5959), _u5960)) )).
% 20.36/20.61 cnf(matrix-3565, plain, ( ~class_Rings_Olinordered__idom(_u5958) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5958), hAPP(c_Groups_Oabs__class_Oabs(_u5958), _u5959)), _u5960)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5958), hAPP(c_Groups_Ouminus__class_Ouminus(_u5958), _u5959)), _u5960)) )).
% 20.36/20.61 cnf(matrix-3566, plain, ( ~class_Rings_Olinordered__idom(_u5958) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5958), _u5959), _u5960)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5958), hAPP(c_Groups_Ouminus__class_Ouminus(_u5958), _u5959)), _u5960)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5958), hAPP(c_Groups_Oabs__class_Oabs(_u5958), _u5959)), _u5960)) )).
% 20.36/20.61 cnf(matrix-3567, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5965, _u5967) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u5965 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5967), skolem130(_u5967, _u5965))) )).
% 20.36/20.61 cnf(matrix-3568, plain, ( ( _u5966 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5968), _u5962)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5966, _u5968) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-3569, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5970)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5970), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3570, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5971), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5971)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3571, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5974), _u5976)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5974, _u5976) = _u5974) )).
% 20.36/20.61 cnf(matrix-3572, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5975), _u5977)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5975, _u5977) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5975), _u5977), _u5977)) )).
% 20.36/20.61 cnf(matrix-3573, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5978), _u5979)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5978, _u5979) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5978), _u5979), _u5979)) )).
% 20.36/20.61 cnf(matrix-3574, 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), _u5980), _u5981)), _u5982), _u5981) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5982, _u5981)) )).
% 20.36/20.61 cnf(matrix-3575, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5984)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5984), c_Int_OPls)) )).
% 20.36/20.61 cnf(matrix-3576, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5985), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5985)), c_Int_OPls)) )).
% 20.36/20.61 cnf(matrix-3577, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u5987))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u5987)) )).
% 20.36/20.61 cnf(matrix-3578, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u5988)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u5988))) )).
% 20.36/20.61 cnf(matrix-3579, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5991)), c_Int_OBit1(_u5993))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5991), _u5993)) )).
% 20.36/20.61 cnf(matrix-3580, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5992), _u5994)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5992)), c_Int_OBit1(_u5994))) )).
% 20.36/20.61 cnf(matrix-3581, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5997)), c_Int_OBit1(_u5999))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5997), _u5999)) )).
% 20.36/20.61 cnf(matrix-3582, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5998), _u6000)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5998)), c_Int_OBit1(_u6000))) )).
% 20.36/20.61 cnf(matrix-3583, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6001), _u6002)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6002, _u6001) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6002), _u6001), _u6001)) )).
% 20.36/20.61 cnf(matrix-3584, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u6004))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u6004)) )).
% 20.36/20.61 cnf(matrix-3585, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u6005)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u6005))) )).
% 20.36/20.61 cnf(matrix-3586, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u6007)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6007), c_Int_OPls)) )).
% 20.36/20.61 cnf(matrix-3587, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6008), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u6008)), c_Int_OPls)) )).
% 20.36/20.61 cnf(matrix-3588, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u6011)), c_Int_OBit0(_u6013))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6011), _u6013)) )).
% 20.36/20.61 cnf(matrix-3589, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6012), _u6014)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u6012)), c_Int_OBit0(_u6014))) )).
% 20.36/20.61 cnf(matrix-3590, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u6017)), c_Int_OBit0(_u6019))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6017), _u6019)) )).
% 20.36/20.61 cnf(matrix-3591, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6018), _u6020)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u6018)), c_Int_OBit0(_u6020))) )).
% 20.36/20.61 cnf(matrix-3592, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u6021)), c_Int_OBit0(_u6022)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6021), _u6022))) )).
% 20.36/20.61 cnf(matrix-3593, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u6023)), c_Int_OBit1(_u6024)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6023), _u6024))) )).
% 20.36/20.61 cnf(matrix-3594, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3595, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6025)), _u6025) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.61 cnf(matrix-3596, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6028)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6030)) | ( _u6028 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-3597, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6028)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6030)) | ( _u6030 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-3598, plain, ( ( _u6029 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6031 != 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), _u6029)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6031)) )).
% 20.36/20.61 cnf(matrix-3599, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OMin)) )).
% 20.36/20.61 cnf(matrix-3600, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OPls)) )).
% 20.36/20.61 cnf(matrix-3601, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u6033)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6033), c_Int_OMin)) )).
% 20.36/20.61 cnf(matrix-3602, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6034), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u6034)), c_Int_OMin)) )).
% 20.36/20.61 cnf(matrix-3603, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u6036))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u6036)) )).
% 20.36/20.61 cnf(matrix-3604, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u6037)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u6037))) )).
% 20.36/20.61 cnf(matrix-3605, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OPls)) )).
% 20.36/20.61 cnf(matrix-3606, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OMin)) )).
% 20.36/20.61 cnf(matrix-3607, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u6039))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u6039)) )).
% 20.36/20.61 cnf(matrix-3608, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u6040)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u6040))) )).
% 20.36/20.61 cnf(matrix-3609, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u6042)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6042), c_Int_OMin)) )).
% 20.36/20.61 cnf(matrix-3610, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6043), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u6043)), c_Int_OMin)) )).
% 20.36/20.61 cnf(matrix-3611, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u6044)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), _u6044))) )).
% 20.36/20.61 cnf(matrix-3612, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u6045)), c_Int_OBit0(_u6046)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6045), _u6046))) )).
% 20.36/20.61 cnf(matrix-3613, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u6047)), c_Int_OBit1(_u6048)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6047), _u6048))) )).
% 20.36/20.61 cnf(matrix-3614, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6049, _u6050)) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6049), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6050))) )).
% 20.36/20.61 cnf(matrix-3615, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6051), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6052)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6051, _u6052))) )).
% 20.36/20.61 cnf(matrix-3616, 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)) )).
% 20.36/20.61 cnf(matrix-3617, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6053)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6054)))) )).
% 20.36/20.61 cnf(matrix-3618, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6055, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6056)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6055, _u6056) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.61 cnf(matrix-3619, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6057), _u6058) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6057, _u6058) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.61 cnf(matrix-3620, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6059), _u6060) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6059), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6060))) )).
% 20.36/20.61 cnf(matrix-3621, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6061), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6062)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6061), _u6062)) )).
% 20.36/20.61 cnf(matrix-3622, plain, ( ~class_Rings_Oring__1(_u6063) | ~hBOOL(hAPP(hAPP(c_member(_u6063), _u6064), c_Int_Oring__1__class_OInts(_u6063))) | hBOOL(hAPP(hAPP(c_member(_u6063), hAPP(c_Groups_Ouminus__class_Ouminus(_u6063), _u6064)), c_Int_Oring__1__class_OInts(_u6063))) )).
% 20.36/20.61 cnf(matrix-3623, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u6066)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6066))) )).
% 20.36/20.61 cnf(matrix-3624, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6067))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u6067)))) )).
% 20.36/20.61 cnf(matrix-3625, plain, ( ( c_Int_Opred(c_Int_OBit0(_u6068)) = c_Int_OBit1(c_Int_Opred(_u6068))) )).
% 20.36/20.61 cnf(matrix-3626, plain, ( ( c_Int_Opred(c_Int_OBit1(_u6069)) = c_Int_OBit0(_u6069)) )).
% 20.36/20.61 cnf(matrix-3627, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin))) )).
% 20.36/20.61 cnf(matrix-3628, plain, ( ( c_Int_Opred(c_Int_OPls) = c_Int_OMin) )).
% 20.36/20.61 cnf(matrix-3629, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(_u6070)) = c_Int_OBit1(c_Int_Opred(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6070)))) )).
% 20.36/20.61 cnf(matrix-3630, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6071), c_Int_OMin) = c_Int_Opred(_u6071)) )).
% 20.36/20.61 cnf(matrix-3631, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OMin), _u6072) = c_Int_Opred(_u6072)) )).
% 20.36/20.61 cnf(matrix-3632, plain, ( ( c_Int_Osucc(c_Int_OBit1(_u6073)) = c_Int_OBit0(c_Int_Osucc(_u6073))) )).
% 20.36/20.61 cnf(matrix-3633, plain, ( ( c_Int_Osucc(c_Int_OBit0(_u6074)) = c_Int_OBit1(_u6074)) )).
% 20.36/20.61 cnf(matrix-3634, plain, ( ( c_Int_Osucc(c_Int_OMin) = c_Int_OPls) )).
% 20.36/20.61 cnf(matrix-3635, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6075), c_Int_OMin) = c_Int_Osucc(_u6075)) )).
% 20.36/20.61 cnf(matrix-3636, 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, _u6077, 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, _u6077, 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)) )).
% 20.36/20.61 cnf(matrix-3637, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6078, 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, _u6078, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 20.36/20.61 cnf(matrix-3638, plain, ( ~class_Int_Onumber__ring(_u6079) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u6079), c_Int_OBit0(_u6080)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6079), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6079), c_Groups_Ozero__class_Ozero(_u6079)), hAPP(c_Int_Onumber__class_Onumber__of(_u6079), _u6080))), hAPP(c_Int_Onumber__class_Onumber__of(_u6079), _u6080))) )).
% 20.36/20.61 cnf(matrix-3639, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u6081) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6081), _u6082), c_Groups_Ozero__class_Ozero(_u6081))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u6081), _u6082) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6081), _u6082)) )).
% 20.36/20.61 cnf(matrix-3640, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u6083) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6083), hAPP(c_Groups_Ouminus__class_Ouminus(_u6083), hAPP(c_Groups_Oabs__class_Oabs(_u6083), _u6084))), c_Groups_Ozero__class_Ozero(_u6083))) )).
% 20.36/20.61 cnf(matrix-3641, plain, ( ~class_Groups_Oabs__if(_u6085) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6085), _u6086), c_Groups_Ozero__class_Ozero(_u6085))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u6085), _u6086) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6085), _u6086)) )).
% 20.36/20.61 cnf(matrix-3642, plain, ( ~class_Groups_Oabs__if(_u6085) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6085), _u6086), c_Groups_Ozero__class_Ozero(_u6085))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u6085), _u6086) = _u6086) )).
% 20.36/20.61 cnf(matrix-3643, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u6087) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6087), _u6088), c_Groups_Ozero__class_Ozero(_u6087))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u6087), _u6088) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6087), _u6088)) )).
% 20.36/20.61 cnf(matrix-3644, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6089)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6090, _u6089)), _u6089)) )).
% 20.36/20.61 cnf(matrix-3645, 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), _u6091), _u6092)), _u6093)), _u6092) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u6093), _u6092)) )).
% 20.36/20.61 cnf(matrix-3646, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u6096)), c_Int_OBit0(_u6098))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6096), _u6098)) )).
% 20.36/20.61 cnf(matrix-3647, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6097), _u6099)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u6097)), c_Int_OBit0(_u6099))) )).
% 20.36/20.61 cnf(matrix-3648, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u6102)), c_Int_OBit0(_u6104))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6102), _u6104)) )).
% 20.36/20.61 cnf(matrix-3649, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6103), _u6105)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u6103)), c_Int_OBit0(_u6105))) )).
% 20.36/20.61 cnf(matrix-3650, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u6108)), c_Int_OBit1(_u6110))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6108), _u6110)) )).
% 20.36/20.61 cnf(matrix-3651, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6109), _u6111)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u6109)), c_Int_OBit1(_u6111))) )).
% 20.36/20.61 cnf(matrix-3652, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u6114)), c_Int_OBit1(_u6116))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6114), _u6116)) )).
% 20.36/20.61 cnf(matrix-3653, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6115), _u6117)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u6115)), c_Int_OBit1(_u6117))) )).
% 20.36/20.61 cnf(matrix-3654, plain, ( ~class_Int_Onumber__ring(_u6118) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6118), hAPP(c_Int_Onumber__class_Onumber__of(_u6118), _u6119)), hAPP(c_Int_Onumber__class_Onumber__of(_u6118), _u6120)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6118), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6119), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6120)))) )).
% 20.36/20.61 cnf(matrix-3655, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit1(_u6121)), _u6122) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6121), _u6122))), _u6122)) )).
% 20.36/20.61 cnf(matrix-3656, plain, ( ~class_Int_Onumber__ring(_u6123) | ~class_Rings_Olinordered__idom(_u6123) | ( hAPP(c_Groups_Oabs__class_Oabs(_u6123), hAPP(c_Int_Onumber__class_Onumber__of(_u6123), c_Int_OMin)) = c_Groups_Oone__class_Oone(_u6123)) )).
% 20.36/20.61 cnf(matrix-3657, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6126)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6128)))) | ( _u6126 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-3658, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6126)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6128)))) | ( _u6128 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-3659, plain, ( ( _u6127 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6129 != 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), _u6127)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6129)))) )).
% 20.36/20.61 cnf(matrix-3660, 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), _u6130))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3661, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6131, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.61 cnf(matrix-3662, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u6132)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u6132))) )).
% 20.36/20.61 cnf(matrix-3663, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6133), _u6134) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6133 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6133 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 20.36/20.61 cnf(matrix-3664, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6137), _u6139) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6137 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6137 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 20.36/20.61 cnf(matrix-3665, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6137), _u6139) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6137 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6139 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 20.36/20.61 cnf(matrix-3666, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6137), _u6139) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6139 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6137 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 20.36/20.61 cnf(matrix-3667, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6137), _u6139) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6139 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6139 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 20.36/20.61 cnf(matrix-3668, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6138), _u6140) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6138 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6140 != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 20.36/20.61 cnf(matrix-3669, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6138), _u6140) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6138 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) | ( _u6140 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 20.36/20.61 cnf(matrix-3670, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6141)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6142)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6141), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6142)))) )).
% 20.36/20.61 cnf(matrix-3671, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6145, _u6147) != 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), _u6145), _u6147) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.61 cnf(matrix-3672, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6146, _u6148) = 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), _u6146), _u6148) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6148), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6146, _u6148))) )).
% 20.36/20.61 cnf(matrix-3673, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6151, _u6153) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6151, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6153)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.61 cnf(matrix-3674, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6152, _u6154) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6152, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6154)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6152, _u6154)), _u6154)) )).
% 20.36/20.61 cnf(matrix-3675, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6156), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6156) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6156)) )).
% 20.36/20.61 cnf(matrix-3676, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6157), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6157) = _u6157) )).
% 20.36/20.61 cnf(matrix-3677, 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, _u6158))))) )).
% 20.36/20.61 cnf(matrix-3678, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u6159)), c_Int_OBit1(_u6160)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_Opred(_u6159)), _u6160))) )).
% 20.36/20.61 cnf(matrix-3679, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u6161)), c_Int_OBit1(_u6162)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6161), c_Int_Osucc(_u6162)))) )).
% 20.36/20.61 cnf(matrix-3680, 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)) )).
% 20.36/20.61 cnf(matrix-3681, plain, ( ~class_Int_Onumber__ring(_u6163) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6163), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6163), c_Groups_Oone__class_Oone(_u6163)), c_Groups_Oone__class_Oone(_u6163))), hAPP(c_Int_Onumber__class_Onumber__of(_u6163), _u6164)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6163), c_Int_OBit0(_u6164))) )).
% 20.36/20.61 cnf(matrix-3682, plain, ( ~class_Int_Onumber__ring(_u6165) | ~class_Rings_Olinordered__idom(_u6165) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6165), hAPP(c_Int_Onumber__class_Onumber__of(_u6165), _u6166)), c_Groups_Ozero__class_Ozero(_u6165))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u6165), hAPP(c_Int_Onumber__class_Onumber__of(_u6165), _u6166)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6165), hAPP(c_Int_Onumber__class_Onumber__of(_u6165), _u6166))) )).
% 20.36/20.61 cnf(matrix-3683, plain, ( ~class_Int_Onumber__ring(_u6165) | ~class_Rings_Olinordered__idom(_u6165) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6165), hAPP(c_Int_Onumber__class_Onumber__of(_u6165), _u6166)), c_Groups_Ozero__class_Ozero(_u6165))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u6165), hAPP(c_Int_Onumber__class_Onumber__of(_u6165), _u6166)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6165), _u6166)) )).
% 20.36/20.61 cnf(matrix-3684, plain, ( ~hBOOL(hAPP(_u6174, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6176, _u6178))) | ( _u6178 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u6174, _u6176)) )).
% 20.36/20.61 cnf(matrix-3685, plain, ( ~hBOOL(hAPP(_u6174, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6176, _u6178))) | ( _u6178 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6167), _u6178)) | ( _u6176 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6178), _u6168)), _u6167)) | hBOOL(hAPP(_u6174, _u6167)) )).
% 20.36/20.61 cnf(matrix-3686, plain, ( hBOOL(hAPP(_u6175, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6177, _u6179))) | ( _u6179 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem132(_u6179, _u6177, _u6175)), _u6179)) )).
% 20.36/20.61 cnf(matrix-3687, plain, ( hBOOL(hAPP(_u6175, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6177, _u6179))) | ( _u6179 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6177 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6179), skolem131(_u6179, _u6177, _u6175))), skolem132(_u6179, _u6177, _u6175))) )).
% 20.36/20.61 cnf(matrix-3688, plain, ( hBOOL(hAPP(_u6175, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6177, _u6179))) | ( _u6179 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u6175, skolem132(_u6179, _u6177, _u6175))) )).
% 20.36/20.61 cnf(matrix-3689, plain, ( hBOOL(hAPP(_u6175, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6177, _u6179))) | ~hBOOL(hAPP(_u6175, _u6177)) | ( _u6179 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-3690, plain, ( hBOOL(hAPP(_u6175, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6177, _u6179))) | ~hBOOL(hAPP(_u6175, _u6177)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem132(_u6179, _u6177, _u6175)), _u6179)) )).
% 20.36/20.61 cnf(matrix-3691, plain, ( hBOOL(hAPP(_u6175, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6177, _u6179))) | ~hBOOL(hAPP(_u6175, _u6177)) | ( _u6177 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6179), skolem131(_u6179, _u6177, _u6175))), skolem132(_u6179, _u6177, _u6175))) )).
% 20.36/20.61 cnf(matrix-3692, plain, ( hBOOL(hAPP(_u6175, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6177, _u6179))) | ~hBOOL(hAPP(_u6175, _u6177)) | ~hBOOL(hAPP(_u6175, skolem132(_u6179, _u6177, _u6175))) )).
% 20.36/20.61 cnf(matrix-3693, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6180)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6181), _u6182)) | 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), _u6182), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6183, _u6180))), _u6181)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6182), _u6180))) )).
% 20.36/20.61 cnf(matrix-3694, plain, ( ~class_Int_Onumber__ring(_u6184) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6184), hAPP(c_Int_Onumber__class_Onumber__of(_u6184), _u6185)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6184), _u6186), hAPP(c_Int_Onumber__class_Onumber__of(_u6184), _u6187))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6184), hAPP(c_Int_Onumber__class_Onumber__of(_u6184), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6185), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6187)))), _u6186)) )).
% 20.36/20.61 cnf(matrix-3695, 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), _u6188))) | 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(_u6188)))) )).
% 20.36/20.61 cnf(matrix-3696, 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), _u6188))) | 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(_u6188)))) )).
% 20.36/20.61 cnf(matrix-3697, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u6189)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6189), _u6190)), _u6189) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-3698, plain, ( ~class_Int_Onumber__ring(_u6191) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u6191), c_Int_Opred(_u6192)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6191), hAPP(c_Groups_Ouminus__class_Ouminus(_u6191), c_Groups_Oone__class_Oone(_u6191))), hAPP(c_Int_Onumber__class_Onumber__of(_u6191), _u6192))) )).
% 20.36/20.61 cnf(matrix-3699, 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, _u6193))))) )).
% 20.36/20.61 cnf(matrix-3700, 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, _u6194)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3701, plain, ( ~class_Int_Onumber__ring(_u6195) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6195), _u6196), hAPP(c_Int_Onumber__class_Onumber__of(_u6195), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6195), _u6196), _u6196)) )).
% 20.36/20.61 cnf(matrix-3702, plain, ( ~class_Int_Onumber__ring(_u6197) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6197), hAPP(c_Int_Onumber__class_Onumber__of(_u6197), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u6198) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6197), _u6198), _u6198)) )).
% 20.36/20.61 cnf(matrix-3703, plain, ( ~class_Int_Onumber__ring(_u6199) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6199), c_Groups_Oone__class_Oone(_u6199)), c_Groups_Oone__class_Oone(_u6199)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6199), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 20.36/20.61 cnf(matrix-3704, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6200, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u6201)))) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6200, 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)))), _u6201))) )).
% 20.36/20.61 cnf(matrix-3705, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u6202))), _u6203) = 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)))), _u6202), _u6203)) )).
% 20.36/20.61 cnf(matrix-3706, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u6204))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6205)) = 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)))), _u6204), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6205))) )).
% 20.36/20.61 cnf(matrix-3707, 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)))) )).
% 20.36/20.61 cnf(matrix-3708, 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)))) )).
% 20.36/20.61 cnf(matrix-3709, 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))))) )).
% 20.36/20.61 cnf(matrix-3710, 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)))), _u6206) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u6206))) )).
% 20.36/20.61 cnf(matrix-3711, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6207), 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, _u6207))) )).
% 20.36/20.61 cnf(matrix-3712, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6208), 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), _u6208), _u6208)) )).
% 20.36/20.61 cnf(matrix-3713, 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)))), _u6209) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6209), _u6209)) )).
% 20.36/20.61 cnf(matrix-3714, 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))))) )).
% 20.36/20.61 cnf(matrix-3715, 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)))) )).
% 20.36/20.61 cnf(matrix-3716, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u6210)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u6211))) = 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), _u6210), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6211)))) )).
% 20.36/20.61 cnf(matrix-3717, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u6212) | ~class_Int_Onumber__ring(_u6212) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6212), c_Groups_Ozero__class_Ozero(_u6212)), _u6213)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6212), c_Groups_Ozero__class_Ozero(_u6212)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u6212), _u6213), hAPP(c_Int_Onumber__class_Onumber__of(_u6212), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 20.36/20.61 cnf(matrix-3718, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u6214) | ~class_Int_Onumber__ring(_u6214) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6214), c_Groups_Ozero__class_Ozero(_u6214)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u6214), _u6215), hAPP(c_Int_Onumber__class_Onumber__of(_u6214), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6214), c_Groups_Ozero__class_Ozero(_u6214)), _u6215)) )).
% 20.36/20.61 cnf(matrix-3719, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u6214) | ~class_Int_Onumber__ring(_u6214) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6214), c_Groups_Ozero__class_Ozero(_u6214)), _u6215)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6214), c_Groups_Ozero__class_Ozero(_u6214)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u6214), _u6215), hAPP(c_Int_Onumber__class_Onumber__of(_u6214), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 20.36/20.61 cnf(matrix-3720, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6216), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ( _u6216 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6216 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.61 cnf(matrix-3721, plain, ( ~class_Int_Onumber__ring(_u6217) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6217), c_Groups_Oone__class_Oone(_u6217)), hAPP(c_Int_Onumber__class_Onumber__of(_u6217), _u6218)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6217), 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), _u6218)))) )).
% 20.36/20.61 cnf(matrix-3722, plain, ( ~class_Int_Onumber__ring(_u6219) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u6219), _u6220) != c_Groups_Oone__class_Oone(_u6219)) | c_Int_Oiszero(_u6219, hAPP(c_Int_Onumber__class_Onumber__of(_u6219), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6220), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 20.36/20.61 cnf(matrix-3723, plain, ( ~class_Int_Onumber__ring(_u6219) | ~c_Int_Oiszero(_u6219, hAPP(c_Int_Onumber__class_Onumber__of(_u6219), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6220), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u6219), _u6220) = c_Groups_Oone__class_Oone(_u6219)) )).
% 20.36/20.61 cnf(matrix-3724, plain, ( ~class_Int_Onumber__ring(_u6221) | ( c_Groups_Oone__class_Oone(_u6221) != hAPP(c_Int_Onumber__class_Onumber__of(_u6221), _u6222)) | c_Int_Oiszero(_u6221, hAPP(c_Int_Onumber__class_Onumber__of(_u6221), 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), _u6222)))) )).
% 20.36/20.61 cnf(matrix-3725, plain, ( ~class_Int_Onumber__ring(_u6221) | ~c_Int_Oiszero(_u6221, hAPP(c_Int_Onumber__class_Onumber__of(_u6221), 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), _u6222)))) | ( c_Groups_Oone__class_Oone(_u6221) = hAPP(c_Int_Onumber__class_Onumber__of(_u6221), _u6222)) )).
% 20.36/20.61 cnf(matrix-3726, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6225)) | ( c_SMT_Oz3mod(_u6227, _u6225) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6227, _u6225)) )).
% 20.36/20.61 cnf(matrix-3727, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6226)) | ( c_SMT_Oz3mod(_u6228, _u6226) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6228, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6226))) )).
% 20.36/20.61 cnf(matrix-3728, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6229), 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)))), _u6230))), 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)))), _u6229)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6230), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u6229)) )).
% 20.36/20.61 cnf(matrix-3729, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6231)) | ( 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)))), _u6232))), 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)))), _u6231)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6232), _u6231)) )).
% 20.36/20.61 cnf(matrix-3730, plain, ( ~class_Rings_Osemiring__1(_u6233) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6234)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6233), 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)))), _u6234))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6233), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6233), hAPP(c_Int_Onat, _u6234))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6233), hAPP(c_Int_Onat, _u6234)))) )).
% 20.36/20.61 cnf(matrix-3731, plain, ( hBOOL(hAPP(hAPP(c_member(_u6235), _u6236), _u6237)) | hBOOL(hAPP(hAPP(c_member(_u6235), _u6236), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6235, tc_HOL_Obool)), _u6237))) )).
% 20.36/20.61 cnf(matrix-3732, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u6238), _u6239), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6238, tc_HOL_Obool)), _u6240))) | ~hBOOL(hAPP(hAPP(c_member(_u6238), _u6239), _u6240)) )).
% 20.36/20.61 cnf(matrix-3733, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u6241), _u6242), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6241, tc_HOL_Obool)), _u6243))) | ~hBOOL(hAPP(hAPP(c_member(_u6241), _u6242), _u6243)) )).
% 20.36/20.61 cnf(matrix-3734, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u6247), _u6249), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6247, tc_HOL_Obool)), _u6251))) | ~hBOOL(hAPP(hAPP(c_member(_u6247), _u6249), _u6251)) )).
% 20.36/20.61 cnf(matrix-3735, plain, ( hBOOL(hAPP(hAPP(c_member(_u6248), _u6250), _u6252)) | hBOOL(hAPP(hAPP(c_member(_u6248), _u6250), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6248, tc_HOL_Obool)), _u6252))) )).
% 20.36/20.61 cnf(matrix-3736, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6253) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.61 cnf(matrix-3737, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6254, tc_HOL_Obool)), _u6255), _u6256)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6254, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6254, tc_HOL_Obool)), _u6256)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6254, tc_HOL_Obool)), _u6255))) )).
% 20.36/20.61 cnf(matrix-3738, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6260, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6260, tc_HOL_Obool)), _u6262)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6260, tc_HOL_Obool)), _u6264))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6260, tc_HOL_Obool)), _u6264), _u6262)) )).
% 20.36/20.61 cnf(matrix-3739, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6261, tc_HOL_Obool)), _u6265), _u6263)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6261, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6261, tc_HOL_Obool)), _u6263)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6261, tc_HOL_Obool)), _u6265))) )).
% 20.36/20.61 cnf(matrix-3740, plain, ( ( hAPP(c_Int_Onat, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6266)) = _u6266) )).
% 20.36/20.61 cnf(matrix-3741, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6267)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6268)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6267), _u6268)) )).
% 20.36/20.61 cnf(matrix-3742, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6269), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6270)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6269)), _u6270)) )).
% 20.36/20.61 cnf(matrix-3743, plain, ( ~class_Divides_Osemiring__div(_u6271) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6271), c_Groups_Ozero__class_Ozero(_u6271)), _u6272) = c_Groups_Ozero__class_Ozero(_u6271)) )).
% 20.36/20.61 cnf(matrix-3744, plain, ( ~class_Divides_Osemiring__div(_u6273) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6273), _u6274), c_Groups_Ozero__class_Ozero(_u6273)) = c_Groups_Ozero__class_Ozero(_u6273)) )).
% 20.36/20.61 cnf(matrix-3745, plain, ( ( hAPP(c_Set_Ovimage(_u6275, _u6276, _u6277), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6276, tc_HOL_Obool)), _u6278)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6275, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u6275, _u6276, _u6277), _u6278))) )).
% 20.36/20.61 cnf(matrix-3746, plain, ( ~class_Divides_Osemiring__div(_u6279) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6279), _u6280), c_Groups_Oone__class_Oone(_u6279)) = _u6280) )).
% 20.36/20.61 cnf(matrix-3747, plain, ( ~class_Rings_Osemiring__1(_u6281) | c_Int_Oiszero(_u6281, c_Groups_Ozero__class_Ozero(_u6281)) )).
% 20.36/20.61 cnf(matrix-3748, plain, ( ~class_Rings_Osemiring__1(_u6282) | ~c_Int_Oiszero(_u6282, _u6283) | ( _u6283 = c_Groups_Ozero__class_Ozero(_u6282)) )).
% 20.36/20.61 cnf(matrix-3749, plain, ( ~class_Rings_Osemiring__1(_u6282) | ( _u6283 != c_Groups_Ozero__class_Ozero(_u6282)) | c_Int_Oiszero(_u6282, _u6283) )).
% 20.36/20.61 cnf(matrix-3750, plain, ( ( hAPP(c_Int_Onat, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-3751, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3752, 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__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6285)) | 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), _u6284), _u6285))) )).
% 20.36/20.61 cnf(matrix-3753, plain, ( ~class_Rings_Osemiring__1(_u6286) | ~c_Int_Oiszero(_u6286, c_Groups_Oone__class_Oone(_u6286)) )).
% 20.36/20.61 cnf(matrix-3754, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6287)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6288), _u6287)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6288), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3755, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6287)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6288), 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), _u6288), _u6287)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3756, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6289), 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), _u6290), _u6289)), 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)), _u6290)) )).
% 20.36/20.61 cnf(matrix-3757, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6289), 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)), _u6290)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6290), _u6289)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3758, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6291), 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)), _u6292)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6291), _u6292)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3759, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6293)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6294)) | ( hAPP(c_Int_Onat, _u6293) != hAPP(c_Int_Onat, _u6294)) | ( _u6293 = _u6294) )).
% 20.36/20.61 cnf(matrix-3760, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6293)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6294)) | ( _u6293 != _u6294) | ( hAPP(c_Int_Onat, _u6293) = hAPP(c_Int_Onat, _u6294)) )).
% 20.36/20.61 cnf(matrix-3761, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6295)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6296)) | ( hAPP(c_Int_Onat, _u6295) != hAPP(c_Int_Onat, _u6296)) | ( _u6295 = _u6296) )).
% 20.36/20.61 cnf(matrix-3762, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6295)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6296)) | ( _u6295 != _u6296) | ( hAPP(c_Int_Onat, _u6295) = hAPP(c_Int_Onat, _u6296)) )).
% 20.36/20.61 cnf(matrix-3763, plain, ( ~hBOOL(hAPP(_u6302, skolem133(_u6302))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6298)) | hBOOL(hAPP(_u6302, hAPP(c_Int_Onat, _u6298))) )).
% 20.36/20.61 cnf(matrix-3764, plain, ( hBOOL(hAPP(_u6303, _u6300)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem134(_u6303))) )).
% 20.36/20.61 cnf(matrix-3765, plain, ( hBOOL(hAPP(_u6303, _u6300)) | ~hBOOL(hAPP(_u6303, hAPP(c_Int_Onat, skolem134(_u6303)))) )).
% 20.36/20.61 cnf(matrix-3766, plain, ( ~hBOOL(hAPP(_u6309, _u6304)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem135(_u6309))) )).
% 20.36/20.61 cnf(matrix-3767, plain, ( ~hBOOL(hAPP(_u6309, _u6304)) | hBOOL(hAPP(_u6309, hAPP(c_Int_Onat, skolem135(_u6309)))) )).
% 20.36/20.61 cnf(matrix-3768, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6306)) | ~hBOOL(hAPP(_u6310, hAPP(c_Int_Onat, _u6306))) | hBOOL(hAPP(_u6310, skolem136(_u6310))) )).
% 20.36/20.61 cnf(matrix-3769, plain, ( ( _u6311 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6311), _u6311) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 20.36/20.61 cnf(matrix-3770, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6314, tc_HOL_Obool)), _u6316), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6314, tc_HOL_Obool)), _u6316))) | ( _u6316 = c_Orderings_Obot__class_Obot(tc_fun(_u6314, tc_HOL_Obool))) )).
% 20.36/20.61 cnf(matrix-3771, plain, ( ( _u6317 != c_Orderings_Obot__class_Obot(tc_fun(_u6315, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6315, tc_HOL_Obool)), _u6317), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6315, tc_HOL_Obool)), _u6317))) )).
% 20.36/20.61 cnf(matrix-3772, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6318, tc_HOL_Obool)), _u6319), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6318, tc_HOL_Obool)), _u6319)) = c_Orderings_Obot__class_Obot(tc_fun(_u6318, tc_HOL_Obool))) )).
% 20.36/20.61 cnf(matrix-3773, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6320, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6320, tc_HOL_Obool)), _u6321)), _u6321) = c_Orderings_Obot__class_Obot(tc_fun(_u6320, tc_HOL_Obool))) )).
% 20.36/20.61 cnf(matrix-3774, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u6322))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u6323))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6322)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6323))) )).
% 20.36/20.61 cnf(matrix-3775, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6324, _u6325)), _u6325) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.61 cnf(matrix-3776, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6327), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.61 cnf(matrix-3777, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6328, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u6328) )).
% 20.36/20.61 cnf(matrix-3778, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6329) = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6329))) )).
% 20.36/20.61 cnf(matrix-3779, plain, ( ( hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6330)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6330)) )).
% 20.36/20.61 cnf(matrix-3780, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6331, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6331, tc_HOL_Obool)), _u6332), _u6333)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6331, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6331, tc_HOL_Obool)), _u6332)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6331, tc_HOL_Obool)), _u6333))) )).
% 20.36/20.61 cnf(matrix-3781, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6334, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6334, tc_HOL_Obool)), _u6335), _u6336)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6334, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6334, tc_HOL_Obool)), _u6335)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6334, tc_HOL_Obool)), _u6336))) )).
% 20.36/20.61 cnf(matrix-3782, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6337), _u6338)), _u6339) = 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), _u6337), _u6339)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6338), _u6339))), 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, _u6337, _u6339)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6338, _u6339))), _u6339))) )).
% 20.36/20.61 cnf(matrix-3783, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6340, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6340, tc_HOL_Obool)), _u6341), _u6342)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6340, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6340, tc_HOL_Obool)), _u6341)), _u6342)) )).
% 20.36/20.61 cnf(matrix-3784, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6343, tc_HOL_Obool)), _u6344), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6343, tc_HOL_Obool)), _u6345)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6343, tc_HOL_Obool)), _u6344), _u6345)) )).
% 20.36/20.61 cnf(matrix-3785, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6346, tc_HOL_Obool)), _u6347), _u6348) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6346, tc_HOL_Obool)), _u6347), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6346, tc_HOL_Obool)), _u6348))) )).
% 20.36/20.61 cnf(matrix-3786, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3787, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u6349)) | ( hAPP(c_Int_Onat, _u6349) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-3788, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u6350)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u6350)) = _u6350) )).
% 20.36/20.61 cnf(matrix-3789, plain, ( ~class_Divides_Osemiring__div(_u6351) | ( _u6352 != c_Groups_Ozero__class_Ozero(_u6351)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6351), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6351), _u6352), _u6353)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6351), _u6352), _u6354)) = c_Groups_Ozero__class_Ozero(_u6351)) )).
% 20.36/20.61 cnf(matrix-3790, plain, ( ~class_Divides_Osemiring__div(_u6351) | ( _u6352 = c_Groups_Ozero__class_Ozero(_u6351)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6351), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6351), _u6352), _u6353)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6351), _u6352), _u6354)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6351), _u6353), _u6354)) )).
% 20.36/20.61 cnf(matrix-3791, plain, ( ~class_Divides_Osemiring__div(_u6355) | ( _u6356 = c_Groups_Ozero__class_Ozero(_u6355)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6355), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6355), _u6357), _u6356)), _u6356) = _u6357) )).
% 20.36/20.61 cnf(matrix-3792, plain, ( ~class_Divides_Osemiring__div(_u6358) | ( _u6359 = c_Groups_Ozero__class_Ozero(_u6358)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6358), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6358), _u6359), _u6360)), _u6359) = _u6360) )).
% 20.36/20.61 cnf(matrix-3793, plain, ( ~class_Divides_Osemiring__div(_u6361) | ( _u6362 = c_Groups_Ozero__class_Ozero(_u6361)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6361), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6361), _u6363), _u6362)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6361), _u6364), _u6362)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6361), _u6363), _u6364)) )).
% 20.36/20.61 cnf(matrix-3794, plain, ( ~class_Divides_Osemiring__div(_u6365) | ( _u6366 = c_Groups_Ozero__class_Ozero(_u6365)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6365), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6365), _u6366), _u6367)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6365), _u6366), _u6368)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6365), _u6367), _u6368)) )).
% 20.36/20.61 cnf(matrix-3795, plain, ( ~class_Divides_Osemiring__div(_u6369) | ( _u6370 = c_Groups_Ozero__class_Ozero(_u6369)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6369), _u6370), _u6370) = c_Groups_Oone__class_Oone(_u6369)) )).
% 20.36/20.61 cnf(matrix-3796, plain, ( ~class_Divides_Osemiring__div(_u6371) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6371), c_Divides_Odiv__class_Omod(_u6371, _u6372, _u6373)), _u6373) = c_Groups_Ozero__class_Ozero(_u6371)) )).
% 20.36/20.61 cnf(matrix-3797, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6374), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u6374) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-3798, plain, ( ( hAPP(c_Int_Onat, _u6376) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6376), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3799, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6377), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u6377) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-3800, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6378), _u6379)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6380), 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), _u6379), _u6380)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6378), _u6380))) )).
% 20.36/20.61 cnf(matrix-3801, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6381), _u6382)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6383)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6381), _u6383)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6382), _u6383))) )).
% 20.36/20.61 cnf(matrix-3802, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6384), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6385), _u6384)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6384), _u6385) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.61 cnf(matrix-3803, 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(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6387)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6387), _u6388)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6386), _u6387)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6386), _u6388))) )).
% 20.36/20.61 cnf(matrix-3804, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6389), 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)), _u6390)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6389), _u6390)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3805, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6391), 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), _u6392), _u6391))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6392), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3806, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6391), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6392), 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), _u6392), _u6391))) )).
% 20.36/20.61 cnf(matrix-3807, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6393)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6393), _u6394)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6393), _u6394) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.61 cnf(matrix-3808, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6395)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6396), 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), _u6395), _u6396)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3809, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6397)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6398)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6398), _u6399)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6397), _u6399)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6397), _u6398))) )).
% 20.36/20.61 cnf(matrix-3810, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6400)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6400), _u6401))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6401), _u6400)) )).
% 20.36/20.61 cnf(matrix-3811, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6400)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6400), _u6401))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6401)) )).
% 20.36/20.61 cnf(matrix-3812, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6400)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6401), _u6400)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6401)) | 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), _u6400), _u6401))) )).
% 20.36/20.61 cnf(matrix-3813, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6402)) | ~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), _u6403), _u6402))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6402), _u6403)) )).
% 20.36/20.61 cnf(matrix-3814, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6402)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6402), _u6403)) | 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), _u6403), _u6402))) )).
% 20.36/20.61 cnf(matrix-3815, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6404)) | ~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), _u6405), _u6404))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6405)) )).
% 20.36/20.61 cnf(matrix-3816, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6404)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6405)) | 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), _u6405), _u6404))) )).
% 20.36/20.61 cnf(matrix-3817, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6408), _u6410) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6410 = 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)), _u6408)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6408), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3818, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6408), _u6410) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6410 = 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)), _u6408)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6410), _u6408)) )).
% 20.36/20.61 cnf(matrix-3819, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6408), _u6410) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6410 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6408), _u6410)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6408), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3820, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6408), _u6410) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6410 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6408), _u6410)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6410), _u6408)) )).
% 20.36/20.61 cnf(matrix-3821, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6409), _u6411) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6411 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.61 cnf(matrix-3822, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6409), _u6411) = 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)), _u6409)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6409), _u6411)) )).
% 20.36/20.61 cnf(matrix-3823, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6409), _u6411) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6409), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6411), _u6409)) )).
% 20.36/20.61 cnf(matrix-3824, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u6414)), hAPP(c_Int_Onat, _u6416))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6416)) )).
% 20.36/20.61 cnf(matrix-3825, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u6414)), hAPP(c_Int_Onat, _u6416))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6414), _u6416)) )).
% 20.36/20.61 cnf(matrix-3826, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6417)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6415), _u6417)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u6415)), hAPP(c_Int_Onat, _u6417))) )).
% 20.36/20.61 cnf(matrix-3827, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6418)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u6419)), hAPP(c_Int_Onat, _u6418))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6419), _u6418)) )).
% 20.36/20.61 cnf(matrix-3828, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6418)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6419), _u6418)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u6419)), hAPP(c_Int_Onat, _u6418))) )).
% 20.36/20.61 cnf(matrix-3829, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6420)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6421)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u6420)), hAPP(c_Int_Onat, _u6421))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6420), _u6421)) )).
% 20.36/20.61 cnf(matrix-3830, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6420)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6421)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6420), _u6421)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u6420)), hAPP(c_Int_Onat, _u6421))) )).
% 20.36/20.61 cnf(matrix-3831, 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))) )).
% 20.36/20.61 cnf(matrix-3832, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6422)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u6423)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6422), _u6423)), _u6422)) )).
% 20.36/20.61 cnf(matrix-3833, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6424)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6425), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6426), _u6424)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6425), _u6426)), _u6424)) )).
% 20.36/20.61 cnf(matrix-3834, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6427)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u6427)) = _u6427) )).
% 20.36/20.61 cnf(matrix-3835, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6430) != _u6432) | ( _u6430 = hAPP(c_Int_Onat, _u6432)) )).
% 20.36/20.61 cnf(matrix-3836, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6430) != _u6432) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6432)) )).
% 20.36/20.61 cnf(matrix-3837, plain, ( ( _u6431 != hAPP(c_Int_Onat, _u6433)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6433)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6431) = _u6433) )).
% 20.36/20.61 cnf(matrix-3838, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6435)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u6435)) = _u6435) )).
% 20.36/20.61 cnf(matrix-3839, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6436)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u6436)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.61 cnf(matrix-3840, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6439), hAPP(c_Int_Onat, _u6441))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6439)), _u6441)) )).
% 20.36/20.61 cnf(matrix-3841, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6440)), _u6442)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6440), hAPP(c_Int_Onat, _u6442))) )).
% 20.36/20.61 cnf(matrix-3842, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6446, tc_HOL_Obool)), _u6448), _u6450) != c_Orderings_Obot__class_Obot(tc_fun(_u6446, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6446, tc_HOL_Obool)), _u6448), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6446, tc_HOL_Obool)), _u6450))) )).
% 20.36/20.61 cnf(matrix-3843, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6447, tc_HOL_Obool)), _u6449), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6447, tc_HOL_Obool)), _u6451))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6447, tc_HOL_Obool)), _u6449), _u6451) = c_Orderings_Obot__class_Obot(tc_fun(_u6447, tc_HOL_Obool))) )).
% 20.36/20.61 cnf(matrix-3844, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6452)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6453)) | ( hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6452, _u6453)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u6452), hAPP(c_Int_Onat, _u6453))) )).
% 20.36/20.61 cnf(matrix-3845, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6454)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6455)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u6454), hAPP(c_Int_Onat, _u6455)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6454, _u6455))) )).
% 20.36/20.61 cnf(matrix-3846, 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), _u6456))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-3847, 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), _u6457), _u6458)), _u6458)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6457, _u6458))), _u6459) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6457), _u6459)) )).
% 20.36/20.61 cnf(matrix-3848, 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), _u6460), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6461), _u6460))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6461, _u6460))), _u6462) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6461), _u6462)) )).
% 20.36/20.61 cnf(matrix-3849, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6463), _u6464)), _u6465) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6463), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6464), _u6465))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6463), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6464, _u6465))), _u6465))) )).
% 20.36/20.61 cnf(matrix-3850, plain, ( ( _u6466 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6467), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6466), _u6467))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6466, _u6467))) )).
% 20.36/20.61 cnf(matrix-3851, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6468), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6468)) )).
% 20.36/20.61 cnf(matrix-3852, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6469, _u6470) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6469), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6469), _u6470)), _u6470))) )).
% 20.36/20.61 cnf(matrix-3853, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6471), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6472), _u6471)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6472), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6472, _u6471))) )).
% 20.36/20.61 cnf(matrix-3854, plain, ( ( hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6473), _u6474))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6473))), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6474)))) )).
% 20.36/20.61 cnf(matrix-3855, plain, ( ~class_Divides_Osemiring__div(_u6475) | ( _u6476 = c_Groups_Ozero__class_Ozero(_u6475)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6475), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6475), _u6477), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6475), _u6478), _u6476))), _u6476) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6475), _u6478), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6475), _u6477), _u6476))) )).
% 20.36/20.61 cnf(matrix-3856, plain, ( ~class_Divides_Osemiring__div(_u6479) | ( _u6480 = c_Groups_Ozero__class_Ozero(_u6479)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6479), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6479), _u6481), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6479), _u6480), _u6482))), _u6480) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6479), _u6482), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6479), _u6481), _u6480))) )).
% 20.36/20.61 cnf(matrix-3857, plain, ( ~class_Divides_Osemiring__div(_u6483) | ( _u6484 = c_Groups_Ozero__class_Ozero(_u6483)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6483), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6483), _u6485), _u6484)), _u6484) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6483), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6483), _u6485), _u6484)), c_Groups_Oone__class_Oone(_u6483))) )).
% 20.36/20.61 cnf(matrix-3858, plain, ( ~class_Divides_Osemiring__div(_u6486) | ( _u6487 = c_Groups_Ozero__class_Ozero(_u6486)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6486), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6486), _u6487), _u6488)), _u6487) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6486), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6486), _u6488), _u6487)), c_Groups_Oone__class_Oone(_u6486))) )).
% 20.36/20.61 cnf(matrix-3859, plain, ( ~class_Divides_Osemiring__div(_u6489) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6489), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6489), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6489), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6489), _u6490), _u6491)), _u6491)), c_Divides_Odiv__class_Omod(_u6489, _u6490, _u6491))), _u6492) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6489), _u6490), _u6492)) )).
% 20.36/20.61 cnf(matrix-3860, plain, ( ~class_Divides_Osemiring__div(_u6493) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6493), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6493), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6493), _u6494), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6493), _u6495), _u6494))), c_Divides_Odiv__class_Omod(_u6493, _u6495, _u6494))), _u6496) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6493), _u6495), _u6496)) )).
% 20.36/20.61 cnf(matrix-3861, plain, ( ~class_Divides_Osemiring__div(_u6497) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6497), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6497), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6497), _u6498), _u6499)), _u6499)), c_Divides_Odiv__class_Omod(_u6497, _u6498, _u6499)) = _u6498) )).
% 20.36/20.61 cnf(matrix-3862, plain, ( ~class_Divides_Osemiring__div(_u6500) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6500), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6500), _u6501), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6500), _u6502), _u6501))), c_Divides_Odiv__class_Omod(_u6500, _u6502, _u6501)) = _u6502) )).
% 20.36/20.61 cnf(matrix-3863, plain, ( ~class_Divides_Osemiring__div(_u6503) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6503), c_Divides_Odiv__class_Omod(_u6503, _u6504, _u6505)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6503), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6503), _u6504), _u6505)), _u6505)) = _u6504) )).
% 20.36/20.61 cnf(matrix-3864, plain, ( ~class_Int_Onumber__ring(_u6506) | c_Int_Oiszero(_u6506, hAPP(c_Int_Onumber__class_Onumber__of(_u6506), c_Int_OPls)) )).
% 20.36/20.61 cnf(matrix-3865, plain, ( ~class_Int_Onumber__ring(_u6507) | ~class_Int_Oring__char__0(_u6507) | ~c_Int_Oiszero(_u6507, hAPP(c_Int_Onumber__class_Onumber__of(_u6507), c_Int_OBit1(_u6508))) )).
% 20.36/20.61 cnf(matrix-3866, plain, ( ~class_Int_Onumber__ring(_u6509) | ~class_Int_Oring__char__0(_u6509) | ~c_Int_Oiszero(_u6509, hAPP(c_Int_Onumber__class_Onumber__of(_u6509), c_Int_OBit0(_u6510))) | c_Int_Oiszero(_u6509, hAPP(c_Int_Onumber__class_Onumber__of(_u6509), _u6510)) )).
% 20.36/20.61 cnf(matrix-3867, plain, ( ~class_Int_Onumber__ring(_u6509) | ~class_Int_Oring__char__0(_u6509) | ~c_Int_Oiszero(_u6509, hAPP(c_Int_Onumber__class_Onumber__of(_u6509), _u6510)) | c_Int_Oiszero(_u6509, hAPP(c_Int_Onumber__class_Onumber__of(_u6509), c_Int_OBit0(_u6510))) )).
% 20.36/20.61 cnf(matrix-3868, plain, ( ~class_Int_Onumber__ring(_u6511) | ~c_Int_Oiszero(_u6511, hAPP(c_Int_Onumber__class_Onumber__of(_u6511), c_Int_OMin)) )).
% 20.36/20.61 cnf(matrix-3869, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onat, _u6513))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6513)) )).
% 20.36/20.61 cnf(matrix-3870, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6514)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onat, _u6514))) )).
% 20.36/20.61 cnf(matrix-3871, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6515)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u6515)), hAPP(c_Int_Onat, _u6516))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6515), _u6516)) )).
% 20.36/20.61 cnf(matrix-3872, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6515)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6515), _u6516)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u6515)), hAPP(c_Int_Onat, _u6516))) )).
% 20.36/20.61 cnf(matrix-3873, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6517)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6518)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u6517)), hAPP(c_Int_Onat, _u6518))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6517), _u6518)) )).
% 20.36/20.61 cnf(matrix-3874, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6517)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6518)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6517), _u6518)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u6517)), hAPP(c_Int_Onat, _u6518))) )).
% 20.36/20.61 cnf(matrix-3875, plain, ( ( _u6521 != hAPP(c_Int_Onat, _u6523)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6523)) | ( _u6523 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6521)) )).
% 20.36/20.61 cnf(matrix-3876, plain, ( ( _u6521 != hAPP(c_Int_Onat, _u6523)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6523)) | ( _u6521 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-3877, plain, ( ( _u6522 = hAPP(c_Int_Onat, _u6524)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6524)) | ( _u6522 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-3878, plain, ( ( _u6522 = hAPP(c_Int_Onat, _u6524)) | ( _u6524 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6522)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6524)) )).
% 20.36/20.61 cnf(matrix-3879, plain, ( ( _u6522 = hAPP(c_Int_Onat, _u6524)) | ( _u6524 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6522)) | ( _u6522 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-3880, plain, ( ( hAPP(c_Int_Onat, _u6527) != _u6529) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6527)) | ( _u6527 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6529)) )).
% 20.36/20.61 cnf(matrix-3881, plain, ( ( hAPP(c_Int_Onat, _u6527) != _u6529) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6527)) | ( _u6529 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-3882, plain, ( ( hAPP(c_Int_Onat, _u6528) = _u6530) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6528)) | ( _u6530 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-3883, plain, ( ( hAPP(c_Int_Onat, _u6528) = _u6530) | ( _u6528 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6530)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6528)) )).
% 20.36/20.61 cnf(matrix-3884, plain, ( ( hAPP(c_Int_Onat, _u6528) = _u6530) | ( _u6528 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6530)) | ( _u6530 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-3885, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6531)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u6531)), hAPP(c_Int_Onat, _u6532))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6531), _u6532)) )).
% 20.36/20.61 cnf(matrix-3886, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6531)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6531), _u6532)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u6531)), hAPP(c_Int_Onat, _u6532))) )).
% 20.36/20.61 cnf(matrix-3887, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6532)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u6531)), hAPP(c_Int_Onat, _u6532))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6531), _u6532)) )).
% 20.36/20.61 cnf(matrix-3888, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6532)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6531), _u6532)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u6531)), hAPP(c_Int_Onat, _u6532))) )).
% 20.36/20.61 cnf(matrix-3889, plain, ( ~hBOOL(hAPP(_u6537, hAPP(c_Int_Onat, _u6539))) | ( _u6539 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6533)) | hBOOL(hAPP(_u6537, _u6533)) )).
% 20.36/20.61 cnf(matrix-3890, plain, ( ~hBOOL(hAPP(_u6537, hAPP(c_Int_Onat, _u6539))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6539), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(_u6537, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.61 cnf(matrix-3891, plain, ( hBOOL(hAPP(_u6538, hAPP(c_Int_Onat, _u6540))) | ( _u6540 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem137(_u6540, _u6538))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6540), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3892, plain, ( hBOOL(hAPP(_u6538, hAPP(c_Int_Onat, _u6540))) | ( _u6540 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem137(_u6540, _u6538))) | ~hBOOL(hAPP(_u6538, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.61 cnf(matrix-3893, plain, ( hBOOL(hAPP(_u6538, hAPP(c_Int_Onat, _u6540))) | ~hBOOL(hAPP(_u6538, skolem137(_u6540, _u6538))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6540), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3894, plain, ( hBOOL(hAPP(_u6538, hAPP(c_Int_Onat, _u6540))) | ~hBOOL(hAPP(_u6538, skolem137(_u6540, _u6538))) | ~hBOOL(hAPP(_u6538, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.61 cnf(matrix-3895, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(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(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6541), _u6542)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u6541)), hAPP(c_Int_Onat, _u6542))) )).
% 20.36/20.61 cnf(matrix-3896, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6543)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6544)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u6543)), hAPP(c_Int_Onat, _u6544)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6543), _u6544))) )).
% 20.36/20.61 cnf(matrix-3897, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6547) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6549)) | ( _u6547 = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6549))) )).
% 20.36/20.61 cnf(matrix-3898, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6547) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6549)) | 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), _u6549))) )).
% 20.36/20.61 cnf(matrix-3899, plain, ( ( _u6548 != hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6550))) | ~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), _u6550))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6548) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6550)) )).
% 20.36/20.61 cnf(matrix-3900, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6551)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6551), _u6552)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u6551)), hAPP(c_Int_Onat, _u6552))) )).
% 20.36/20.61 cnf(matrix-3901, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6554)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u6553)), hAPP(c_Int_Onat, _u6554)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6553), _u6554))) )).
% 20.36/20.61 cnf(matrix-3902, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6555)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)), _u6555) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 20.36/20.61 cnf(matrix-3903, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6556)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6556), _u6557)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6557), _u6556)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u6557)), hAPP(c_Int_Onat, _u6556))) )).
% 20.36/20.61 cnf(matrix-3904, 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))))) )).
% 20.36/20.61 cnf(matrix-3905, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6558)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6559)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u6558)), hAPP(c_Int_Onat, _u6559)) = hAPP(c_Int_Onat, c_Nat__Transfer_Otsub(_u6558, _u6559))) )).
% 20.36/20.61 cnf(matrix-3906, 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, _u6561))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u6561)) )).
% 20.36/20.61 cnf(matrix-3907, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u6562)) | 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, _u6562))) )).
% 20.36/20.61 cnf(matrix-3908, plain, ( ~hBOOL(hAPP(_u6574, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6576), _u6578))) | ( _u6578 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u6574, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3909, plain, ( ~hBOOL(hAPP(_u6574, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6576), _u6578))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6578)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6563)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6563), _u6578)) | ( _u6576 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6578), _u6564)), _u6563)) | hBOOL(hAPP(_u6574, _u6564)) )).
% 20.36/20.61 cnf(matrix-3910, plain, ( ~hBOOL(hAPP(_u6574, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6576), _u6578))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6578), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6578), _u6565)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6565), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6576 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6578), _u6566)), _u6565)) | hBOOL(hAPP(_u6574, _u6566)) )).
% 20.36/20.61 cnf(matrix-3911, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6579), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6579 = 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)), _u6579)) )).
% 20.36/20.61 cnf(matrix-3912, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6579), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6579 = 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)), skolem139(_u6579, _u6577, _u6575))) )).
% 20.36/20.61 cnf(matrix-3913, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6579), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6579 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem139(_u6579, _u6577, _u6575)), _u6579)) )).
% 20.36/20.61 cnf(matrix-3914, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6579), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6579 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6577 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6579), skolem138(_u6579, _u6577, _u6575))), skolem139(_u6579, _u6577, _u6575))) )).
% 20.36/20.61 cnf(matrix-3915, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6579), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6579 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6575, skolem138(_u6579, _u6577, _u6575))) )).
% 20.36/20.61 cnf(matrix-3916, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6579), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6575, 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)), _u6579)) )).
% 20.36/20.61 cnf(matrix-3917, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6579), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6575, 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)), skolem139(_u6579, _u6577, _u6575))) )).
% 20.36/20.61 cnf(matrix-3918, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6579), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6575, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem139(_u6579, _u6577, _u6575)), _u6579)) )).
% 20.36/20.61 cnf(matrix-3919, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6579), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6575, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6577 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6579), skolem138(_u6579, _u6577, _u6575))), skolem139(_u6579, _u6577, _u6575))) )).
% 20.36/20.61 cnf(matrix-3920, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6579), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6575, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6575, skolem138(_u6579, _u6577, _u6575))) )).
% 20.36/20.61 cnf(matrix-3921, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6579), skolem141(_u6579, _u6577, _u6575))) | ( _u6579 = 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)), _u6579)) )).
% 20.36/20.61 cnf(matrix-3922, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6579), skolem141(_u6579, _u6577, _u6575))) | ( _u6579 = 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)), skolem139(_u6579, _u6577, _u6575))) )).
% 20.36/20.61 cnf(matrix-3923, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6579), skolem141(_u6579, _u6577, _u6575))) | ( _u6579 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem139(_u6579, _u6577, _u6575)), _u6579)) )).
% 20.36/20.61 cnf(matrix-3924, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6579), skolem141(_u6579, _u6577, _u6575))) | ( _u6579 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6577 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6579), skolem138(_u6579, _u6577, _u6575))), skolem139(_u6579, _u6577, _u6575))) )).
% 20.36/20.61 cnf(matrix-3925, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6579), skolem141(_u6579, _u6577, _u6575))) | ( _u6579 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6575, skolem138(_u6579, _u6577, _u6575))) )).
% 20.36/20.61 cnf(matrix-3926, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem141(_u6579, _u6577, _u6575)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6579 = 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)), _u6579)) )).
% 20.36/20.61 cnf(matrix-3927, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem141(_u6579, _u6577, _u6575)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6579 = 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)), skolem139(_u6579, _u6577, _u6575))) )).
% 20.36/20.61 cnf(matrix-3928, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem141(_u6579, _u6577, _u6575)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6579 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem139(_u6579, _u6577, _u6575)), _u6579)) )).
% 20.36/20.61 cnf(matrix-3929, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem141(_u6579, _u6577, _u6575)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6579 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6577 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6579), skolem138(_u6579, _u6577, _u6575))), skolem139(_u6579, _u6577, _u6575))) )).
% 20.36/20.61 cnf(matrix-3930, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem141(_u6579, _u6577, _u6575)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6579 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6575, skolem138(_u6579, _u6577, _u6575))) )).
% 20.36/20.61 cnf(matrix-3931, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | ( _u6577 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6579), skolem140(_u6579, _u6577, _u6575))), skolem141(_u6579, _u6577, _u6575))) | ( _u6579 = 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)), _u6579)) )).
% 20.36/20.61 cnf(matrix-3932, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | ( _u6577 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6579), skolem140(_u6579, _u6577, _u6575))), skolem141(_u6579, _u6577, _u6575))) | ( _u6579 = 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)), skolem139(_u6579, _u6577, _u6575))) )).
% 20.36/20.61 cnf(matrix-3933, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | ( _u6577 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6579), skolem140(_u6579, _u6577, _u6575))), skolem141(_u6579, _u6577, _u6575))) | ( _u6579 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem139(_u6579, _u6577, _u6575)), _u6579)) )).
% 20.36/20.61 cnf(matrix-3934, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | ( _u6577 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6579), skolem140(_u6579, _u6577, _u6575))), skolem141(_u6579, _u6577, _u6575))) | ( _u6579 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6577 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6579), skolem138(_u6579, _u6577, _u6575))), skolem139(_u6579, _u6577, _u6575))) )).
% 20.36/20.61 cnf(matrix-3935, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | ( _u6577 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6579), skolem140(_u6579, _u6577, _u6575))), skolem141(_u6579, _u6577, _u6575))) | ( _u6579 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6575, skolem138(_u6579, _u6577, _u6575))) )).
% 20.36/20.61 cnf(matrix-3936, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | ~hBOOL(hAPP(_u6575, skolem140(_u6579, _u6577, _u6575))) | ( _u6579 = 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)), _u6579)) )).
% 20.36/20.61 cnf(matrix-3937, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | ~hBOOL(hAPP(_u6575, skolem140(_u6579, _u6577, _u6575))) | ( _u6579 = 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)), skolem139(_u6579, _u6577, _u6575))) )).
% 20.36/20.61 cnf(matrix-3938, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | ~hBOOL(hAPP(_u6575, skolem140(_u6579, _u6577, _u6575))) | ( _u6579 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem139(_u6579, _u6577, _u6575)), _u6579)) )).
% 20.36/20.61 cnf(matrix-3939, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | ~hBOOL(hAPP(_u6575, skolem140(_u6579, _u6577, _u6575))) | ( _u6579 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6577 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6579), skolem138(_u6579, _u6577, _u6575))), skolem139(_u6579, _u6577, _u6575))) )).
% 20.36/20.61 cnf(matrix-3940, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | ~hBOOL(hAPP(_u6575, skolem140(_u6579, _u6577, _u6575))) | ( _u6579 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6575, skolem138(_u6579, _u6577, _u6575))) )).
% 20.36/20.61 cnf(matrix-3941, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6579), skolem141(_u6579, _u6577, _u6575))) | ~hBOOL(hAPP(_u6575, 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)), _u6579)) )).
% 20.36/20.61 cnf(matrix-3942, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6579), skolem141(_u6579, _u6577, _u6575))) | ~hBOOL(hAPP(_u6575, 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)), skolem139(_u6579, _u6577, _u6575))) )).
% 20.36/20.61 cnf(matrix-3943, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6579), skolem141(_u6579, _u6577, _u6575))) | ~hBOOL(hAPP(_u6575, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem139(_u6579, _u6577, _u6575)), _u6579)) )).
% 20.36/20.61 cnf(matrix-3944, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6579), skolem141(_u6579, _u6577, _u6575))) | ~hBOOL(hAPP(_u6575, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6577 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6579), skolem138(_u6579, _u6577, _u6575))), skolem139(_u6579, _u6577, _u6575))) )).
% 20.36/20.61 cnf(matrix-3945, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6579), skolem141(_u6579, _u6577, _u6575))) | ~hBOOL(hAPP(_u6575, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6575, skolem138(_u6579, _u6577, _u6575))) )).
% 20.36/20.61 cnf(matrix-3946, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem141(_u6579, _u6577, _u6575)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6575, 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)), _u6579)) )).
% 20.36/20.61 cnf(matrix-3947, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem141(_u6579, _u6577, _u6575)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6575, 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)), skolem139(_u6579, _u6577, _u6575))) )).
% 20.36/20.61 cnf(matrix-3948, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem141(_u6579, _u6577, _u6575)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6575, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem139(_u6579, _u6577, _u6575)), _u6579)) )).
% 20.36/20.61 cnf(matrix-3949, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem141(_u6579, _u6577, _u6575)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6575, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6577 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6579), skolem138(_u6579, _u6577, _u6575))), skolem139(_u6579, _u6577, _u6575))) )).
% 20.36/20.61 cnf(matrix-3950, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem141(_u6579, _u6577, _u6575)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6575, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6575, skolem138(_u6579, _u6577, _u6575))) )).
% 20.36/20.61 cnf(matrix-3951, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | ( _u6577 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6579), skolem140(_u6579, _u6577, _u6575))), skolem141(_u6579, _u6577, _u6575))) | ~hBOOL(hAPP(_u6575, 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)), _u6579)) )).
% 20.36/20.61 cnf(matrix-3952, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | ( _u6577 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6579), skolem140(_u6579, _u6577, _u6575))), skolem141(_u6579, _u6577, _u6575))) | ~hBOOL(hAPP(_u6575, 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)), skolem139(_u6579, _u6577, _u6575))) )).
% 20.36/20.61 cnf(matrix-3953, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | ( _u6577 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6579), skolem140(_u6579, _u6577, _u6575))), skolem141(_u6579, _u6577, _u6575))) | ~hBOOL(hAPP(_u6575, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem139(_u6579, _u6577, _u6575)), _u6579)) )).
% 20.36/20.61 cnf(matrix-3954, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | ( _u6577 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6579), skolem140(_u6579, _u6577, _u6575))), skolem141(_u6579, _u6577, _u6575))) | ~hBOOL(hAPP(_u6575, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6577 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6579), skolem138(_u6579, _u6577, _u6575))), skolem139(_u6579, _u6577, _u6575))) )).
% 20.36/20.61 cnf(matrix-3955, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | ( _u6577 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6579), skolem140(_u6579, _u6577, _u6575))), skolem141(_u6579, _u6577, _u6575))) | ~hBOOL(hAPP(_u6575, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6575, skolem138(_u6579, _u6577, _u6575))) )).
% 20.36/20.61 cnf(matrix-3956, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | ~hBOOL(hAPP(_u6575, skolem140(_u6579, _u6577, _u6575))) | ~hBOOL(hAPP(_u6575, 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)), _u6579)) )).
% 20.36/20.61 cnf(matrix-3957, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | ~hBOOL(hAPP(_u6575, skolem140(_u6579, _u6577, _u6575))) | ~hBOOL(hAPP(_u6575, 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)), skolem139(_u6579, _u6577, _u6575))) )).
% 20.36/20.61 cnf(matrix-3958, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | ~hBOOL(hAPP(_u6575, skolem140(_u6579, _u6577, _u6575))) | ~hBOOL(hAPP(_u6575, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem139(_u6579, _u6577, _u6575)), _u6579)) )).
% 20.36/20.61 cnf(matrix-3959, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | ~hBOOL(hAPP(_u6575, skolem140(_u6579, _u6577, _u6575))) | ~hBOOL(hAPP(_u6575, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6577 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6579), skolem138(_u6579, _u6577, _u6575))), skolem139(_u6579, _u6577, _u6575))) )).
% 20.36/20.61 cnf(matrix-3960, plain, ( hBOOL(hAPP(_u6575, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6577), _u6579))) | ~hBOOL(hAPP(_u6575, skolem140(_u6579, _u6577, _u6575))) | ~hBOOL(hAPP(_u6575, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6575, skolem138(_u6579, _u6577, _u6575))) )).
% 20.36/20.61 cnf(matrix-3961, plain, ( ( _u6580 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6581), _u6582)), _u6583)) | ( _u6581 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6580), _u6581) = _u6582) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6581)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6581), _u6583)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6583), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3962, plain, ( ( _u6580 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6581), _u6582)), _u6583)) | ( _u6581 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6580), _u6581) = _u6582) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6583)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6583), _u6581)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6581)) )).
% 20.36/20.61 cnf(matrix-3963, plain, ( ( _u6580 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6581), _u6582)), _u6583)) | ( _u6581 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6580), _u6581) = _u6582) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6583)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6583), _u6581)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6581), _u6583)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6583), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3964, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6584)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u6584)), _u6585)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6584), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6585))) )).
% 20.36/20.61 cnf(matrix-3965, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6584)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6584), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6585))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u6584)), _u6585)) )).
% 20.36/20.61 cnf(matrix-3966, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6586)) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onat, _u6586)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u6586))) )).
% 20.36/20.61 cnf(matrix-3967, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6587)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6588, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6589), _u6587)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6589), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6588), _u6589), _u6587))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6588, _u6589))) )).
% 20.36/20.61 cnf(matrix-3968, 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))))) )).
% 20.36/20.61 cnf(matrix-3969, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6590), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6590), _u6591)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6590))), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6591)))) )).
% 20.36/20.61 cnf(matrix-3970, plain, ( ( _u6592 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6593, _u6592) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6593), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6592)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6593), _u6592))) )).
% 20.36/20.61 cnf(matrix-3971, plain, ( ( _u6592 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6593, _u6592) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6593), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6592)) = 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), _u6593), _u6592))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3972, plain, ( ( _u6594 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6595, _u6594) != 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), _u6595)), _u6594) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6595), _u6594))) )).
% 20.36/20.61 cnf(matrix-3973, plain, ( ( _u6594 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6595, _u6594) = 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), _u6595)), _u6594) = 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), _u6595), _u6594))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3974, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6598))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6598), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6600)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-3975, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6599))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6601))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6599), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6601)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6599)) )).
% 20.36/20.61 cnf(matrix-3976, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6599))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6601))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6599), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6601)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6599), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6601)))) )).
% 20.36/20.61 cnf(matrix-3977, plain, ( ~class_Int_Onumber__ring(_u6602) | ~c_Int_Oiszero(_u6602, hAPP(c_Int_Onumber__class_Onumber__of(_u6602), c_Int_OBit1(c_Int_OPls))) )).
% 20.36/20.61 cnf(matrix-3978, plain, ( ~class_Int_Onumber__ring(_u6603) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u6603), _u6604) != hAPP(c_Int_Onumber__class_Onumber__of(_u6603), _u6605)) | c_Int_Oiszero(_u6603, hAPP(c_Int_Onumber__class_Onumber__of(_u6603), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6604), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6605)))) )).
% 20.36/20.61 cnf(matrix-3979, plain, ( ~class_Int_Onumber__ring(_u6603) | ~c_Int_Oiszero(_u6603, hAPP(c_Int_Onumber__class_Onumber__of(_u6603), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6604), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6605)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u6603), _u6604) = hAPP(c_Int_Onumber__class_Onumber__of(_u6603), _u6605)) )).
% 20.36/20.61 cnf(matrix-3980, 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)))) )).
% 20.36/20.61 cnf(matrix-3981, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6606)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6606), _u6607)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6606), _u6607) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 20.36/20.61 cnf(matrix-3982, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6612)) | ~hBOOL(hAPP(hAPP(_u6613, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6614), _u6612)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6614, _u6612))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6608)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6608), _u6612)) | ( _u6614 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6612), _u6609)), _u6608)) | hBOOL(hAPP(hAPP(_u6613, _u6609), _u6608)) )).
% 20.36/20.61 cnf(matrix-3983, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6612)) | hBOOL(hAPP(hAPP(_u6613, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6614), _u6612)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6614, _u6612))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem143(_u6614, _u6613, _u6612))) )).
% 20.36/20.61 cnf(matrix-3984, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6612)) | hBOOL(hAPP(hAPP(_u6613, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6614), _u6612)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6614, _u6612))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem143(_u6614, _u6613, _u6612)), _u6612)) )).
% 20.36/20.61 cnf(matrix-3985, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6612)) | hBOOL(hAPP(hAPP(_u6613, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6614), _u6612)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6614, _u6612))) | ( _u6614 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6612), skolem142(_u6614, _u6613, _u6612))), skolem143(_u6614, _u6613, _u6612))) )).
% 20.36/20.61 cnf(matrix-3986, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6612)) | hBOOL(hAPP(hAPP(_u6613, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6614), _u6612)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6614, _u6612))) | ~hBOOL(hAPP(hAPP(_u6613, skolem142(_u6614, _u6613, _u6612)), skolem143(_u6614, _u6613, _u6612))) )).
% 20.36/20.61 cnf(matrix-3987, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6619), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(_u6620, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6621), _u6619)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6621, _u6619))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6619), _u6615)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6615), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6621 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6619), _u6616)), _u6615)) | hBOOL(hAPP(hAPP(_u6620, _u6616), _u6615)) )).
% 20.36/20.61 cnf(matrix-3988, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6619), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u6620, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6621), _u6619)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6621, _u6619))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6619), skolem145(_u6621, _u6620, _u6619))) )).
% 20.36/20.61 cnf(matrix-3989, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6619), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u6620, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6621), _u6619)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6621, _u6619))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem145(_u6621, _u6620, _u6619)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-3990, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6619), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u6620, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6621), _u6619)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6621, _u6619))) | ( _u6621 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6619), skolem144(_u6621, _u6620, _u6619))), skolem145(_u6621, _u6620, _u6619))) )).
% 20.36/20.61 cnf(matrix-3991, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6619), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u6620, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6621), _u6619)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6621, _u6619))) | ~hBOOL(hAPP(hAPP(_u6620, skolem144(_u6621, _u6620, _u6619)), skolem145(_u6621, _u6620, _u6619))) )).
% 20.36/20.61 cnf(matrix-3992, 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), _u6624))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u6626))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u6624))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6626)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6624))) )).
% 20.36/20.61 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), _u6625))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u6627))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u6625))) = 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), _u6627)), c_Groups_Oone__class_Oone(tc_Int_Oint))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6625))) )).
% 20.36/20.61 cnf(matrix-3994, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6629))) | ( 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), _u6629)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.61 cnf(matrix-3995, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6630))) | ( 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), _u6630)) = 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), _u6630)))) )).
% 20.36/20.61 cnf(matrix-3996, plain, ( ~class_Int_Onumber__ring(_u6631) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u6631), _u6632) != c_Groups_Ozero__class_Ozero(_u6631)) | c_Int_Oiszero(_u6631, hAPP(c_Int_Onumber__class_Onumber__of(_u6631), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6632), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) )).
% 20.36/20.61 cnf(matrix-3997, plain, ( ~class_Int_Onumber__ring(_u6631) | ~c_Int_Oiszero(_u6631, hAPP(c_Int_Onumber__class_Onumber__of(_u6631), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6632), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u6631), _u6632) = c_Groups_Ozero__class_Ozero(_u6631)) )).
% 20.36/20.61 cnf(matrix-3998, plain, ( ~class_Int_Onumber__ring(_u6633) | ( c_Groups_Ozero__class_Ozero(_u6633) != hAPP(c_Int_Onumber__class_Onumber__of(_u6633), _u6634)) | c_Int_Oiszero(_u6633, hAPP(c_Int_Onumber__class_Onumber__of(_u6633), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6634)))) )).
% 20.36/20.61 cnf(matrix-3999, plain, ( ~class_Int_Onumber__ring(_u6633) | ~c_Int_Oiszero(_u6633, hAPP(c_Int_Onumber__class_Onumber__of(_u6633), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6634)))) | ( c_Groups_Ozero__class_Ozero(_u6633) = hAPP(c_Int_Onumber__class_Onumber__of(_u6633), _u6634)) )).
% 20.36/20.61 cnf(matrix-4000, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6637)) | ( c_SMT_Oz3div(_u6639, _u6637) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6639), _u6637)) )).
% 20.36/20.61 cnf(matrix-4001, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6638)) | ( c_SMT_Oz3div(_u6640, _u6638) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6640), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6638)))) )).
% 20.36/20.61 cnf(matrix-4002, plain, ( ( c_Int_Onat__aux(_u6641, _u6642) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u6641)), _u6642)) )).
% 20.36/20.61 cnf(matrix-4003, plain, ( ( _u6645 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u6645, _u6647) = _u6647) )).
% 20.36/20.61 cnf(matrix-4004, plain, ( ( _u6646 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u6646, _u6648) = c_Code__Numeral_Onat__of__aux(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u6646), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), hAPP(c_Nat_OSuc, _u6648))) )).
% 20.36/20.61 cnf(matrix-4005, 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))) )).
% 20.36/20.61 cnf(matrix-4006, plain, ( ~class_Int_Onumber__ring(_u6649) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6649), hAPP(c_Int_Onumber__class_Onumber__of(_u6649), 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)))), _u6650))) = hAPP(c_Int_Onumber__class_Onumber__of(_u6649), c_Int_OMin)) )).
% 20.36/20.61 cnf(matrix-4007, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6651, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6651, tc_HOL_Obool)), _u6652)) = _u6652) )).
% 20.36/20.61 cnf(matrix-4008, plain, ( ( _u6658 = _u6660) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6656, tc_HOL_Obool)), _u6658) != hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6656, tc_HOL_Obool)), _u6660)) )).
% 20.36/20.61 cnf(matrix-4009, plain, ( ( _u6659 != _u6661) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6657, tc_HOL_Obool)), _u6659) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6657, tc_HOL_Obool)), _u6661)) )).
% 20.36/20.61 cnf(matrix-4010, plain, ( ~class_Rings_Ocomm__semiring__1(_u6662) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6662), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6662), _u6663), _u6664)), _u6665) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6662), hAPP(hAPP(c_Power_Opower__class_Opower(_u6662), _u6663), _u6665)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6662), _u6664), _u6665))) )).
% 20.36/20.61 cnf(matrix-4011, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6666), _u6667)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6666), _u6668)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6667), _u6668))) )).
% 20.36/20.61 cnf(matrix-4012, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6669), _u6670)), _u6669)) )).
% 20.36/20.61 cnf(matrix-4013, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6671), _u6672)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6671)), _u6672)) )).
% 20.36/20.61 cnf(matrix-4014, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6673)), _u6674) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6673), _u6674))) )).
% 20.36/20.61 cnf(matrix-4015, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6675)), _u6676) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6675), _u6676))) )).
% 20.36/20.61 cnf(matrix-4016, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6677), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6678), _u6679)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6677), _u6678)), _u6679)) )).
% 20.36/20.61 cnf(matrix-4017, plain, ( ~class_Rings_Ocomm__semiring__1(_u6680) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6680), hAPP(hAPP(c_Power_Opower__class_Opower(_u6680), _u6681), _u6682)), _u6683) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6680), _u6681), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6682), _u6683))) )).
% 20.36/20.61 cnf(matrix-4018, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6684), _u6685)), _u6686) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6684), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6685), _u6686))) )).
% 20.36/20.61 cnf(matrix-4019, plain, ( ~class_Rings_Ocomm__semiring__1(_u6687) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6687), _u6688), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u6688) )).
% 20.36/20.61 cnf(matrix-4020, 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, _u6689, _u6690)), _u6691), _u6690) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6689), _u6691), _u6690)) )).
% 20.36/20.61 cnf(matrix-4021, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6692)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6692), _u6693)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u6692)), _u6693)) )).
% 20.36/20.61 cnf(matrix-4022, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6694)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u6694)), _u6695) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6694), _u6695))) )).
% 20.36/20.61 cnf(matrix-4023, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6696), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = _u6696) )).
% 20.36/20.61 cnf(matrix-4024, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6697), _u6698)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6697), _u6698) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-4025, plain, ( ( _u6702 != 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), _u6702), _u6704)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6702), _u6706)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-4026, plain, ( ( _u6703 = 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), _u6703), _u6705)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6703), _u6707)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6705), _u6707)) )).
% 20.36/20.61 cnf(matrix-4027, plain, ( ~class_Rings_Ocomm__semiring__1(_u6708) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6708), _u6709), hAPP(c_Nat_OSuc, _u6710)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6708), _u6709), hAPP(hAPP(c_Power_Opower__class_Opower(_u6708), _u6709), _u6710))) )).
% 20.36/20.61 cnf(matrix-4028, plain, ( ~class_Rings_Ocomm__semiring__1(_u6711) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6711), _u6712), hAPP(hAPP(c_Power_Opower__class_Opower(_u6711), _u6712), _u6713)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6711), _u6712), hAPP(c_Nat_OSuc, _u6713))) )).
% 20.36/20.61 cnf(matrix-4029, plain, ( ~class_Rings_Ocomm__semiring__1(_u6714) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6714), hAPP(hAPP(c_Power_Opower__class_Opower(_u6714), _u6715), _u6716)), _u6715) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6714), _u6715), hAPP(c_Nat_OSuc, _u6716))) )).
% 20.36/20.61 cnf(matrix-4030, plain, ( ~class_Rings_Ocomm__semiring__1(_u6717) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6717), _u6718), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u6717)) )).
% 20.36/20.61 cnf(matrix-4031, plain, ( ~class_Rings_Ocomm__semiring__1(_u6719) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6719), hAPP(hAPP(c_Power_Opower__class_Opower(_u6719), _u6720), _u6721)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6719), _u6720), _u6722)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6719), _u6720), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6721), _u6722))) )).
% 20.36/20.61 cnf(matrix-4032, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6723)) | 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), _u6723), _u6724))) )).
% 20.36/20.61 cnf(matrix-4033, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6725), _u6726)), _u6727) = 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), _u6725), _u6727)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6726), _u6727))), 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, _u6725, _u6727)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6726, _u6727))), _u6727))) )).
% 20.36/20.61 cnf(matrix-4034, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6728), _u6729)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6728)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6729))) )).
% 20.36/20.61 cnf(matrix-4035, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6730)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6731)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6730), _u6731))) )).
% 20.36/20.61 cnf(matrix-4036, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6732), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6733), _u6734)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6732), _u6733)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6732), _u6734))) )).
% 20.36/20.61 cnf(matrix-4037, plain, ( ~class_Rings_Oring__1(_u6735) | ~hBOOL(hAPP(hAPP(c_member(_u6735), _u6736), c_Int_Oring__1__class_OInts(_u6735))) | hBOOL(hAPP(hAPP(c_member(_u6735), hAPP(hAPP(c_Power_Opower__class_Opower(_u6735), _u6736), _u6737)), c_Int_Oring__1__class_OInts(_u6735))) )).
% 20.36/20.61 cnf(matrix-4038, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6740))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6740)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6742)) = 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), _u6742))) )).
% 20.36/20.61 cnf(matrix-4039, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6741))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6741)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6743)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6741)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6743)))) )).
% 20.36/20.61 cnf(matrix-4040, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6746))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6746)), _u6748) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6748)) )).
% 20.36/20.61 cnf(matrix-4041, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6747))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6747)), _u6749) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6747)), _u6749))) )).
% 20.36/20.61 cnf(matrix-4042, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6750)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6750), _u6751)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6752), _u6751)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6752), _u6750))) )).
% 20.36/20.61 cnf(matrix-4043, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6753)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6753), _u6754)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6753), _u6755)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6754), _u6755)) )).
% 20.36/20.61 cnf(matrix-4044, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6756)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6756), _u6757)), _u6756) = _u6757) )).
% 20.36/20.61 cnf(matrix-4045, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6758)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6759), _u6758)), _u6758) = _u6759) )).
% 20.36/20.61 cnf(matrix-4046, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u6760)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6761)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6761), _u6760)), _u6761)) )).
% 20.36/20.61 cnf(matrix-4047, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6762, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6763), _u6764)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6763), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6762), _u6763), _u6764))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6762, _u6763))) )).
% 20.36/20.61 cnf(matrix-4048, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6765), _u6766)), _u6767) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6765), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6766), _u6767))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6765), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6766, _u6767))), _u6767))) )).
% 20.36/20.61 cnf(matrix-4049, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6768), _u6769)), _u6769) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6768), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6768, _u6769))) )).
% 20.36/20.61 cnf(matrix-4050, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6770), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6771), _u6770)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6771), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6771, _u6770))) )).
% 20.36/20.61 cnf(matrix-4051, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6772, _u6773) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6772), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6772), _u6773)), _u6773))) )).
% 20.36/20.61 cnf(matrix-4052, 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), _u6774)), _u6775))) )).
% 20.36/20.61 cnf(matrix-4053, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6776)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6777), _u6776)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6777), _u6776) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-4054, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6776)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6777), _u6776)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6777), _u6776) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6777), _u6776)), _u6776))) )).
% 20.36/20.61 cnf(matrix-4055, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6778)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6779), _u6778)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6779), _u6778) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6779), _u6778)), _u6778))) )).
% 20.36/20.61 cnf(matrix-4056, plain, ( ~hBOOL(hAPP(_u6787, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6789), _u6791))) | ( _u6791 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u6787, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.61 cnf(matrix-4057, plain, ( ~hBOOL(hAPP(_u6787, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6789), _u6791))) | ( _u6791 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6780), _u6791)) | ( _u6789 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6791), _u6781)), _u6780)) | hBOOL(hAPP(_u6787, _u6781)) )).
% 20.36/20.61 cnf(matrix-4058, plain, ( hBOOL(hAPP(_u6788, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6790), _u6792))) | ( _u6792 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem147(_u6792, _u6790, _u6788)), _u6792)) )).
% 20.36/20.61 cnf(matrix-4059, plain, ( hBOOL(hAPP(_u6788, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6790), _u6792))) | ( _u6792 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6790 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6792), skolem146(_u6792, _u6790, _u6788))), skolem147(_u6792, _u6790, _u6788))) )).
% 20.36/20.61 cnf(matrix-4060, plain, ( hBOOL(hAPP(_u6788, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6790), _u6792))) | ( _u6792 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u6788, skolem146(_u6792, _u6790, _u6788))) )).
% 20.36/20.61 cnf(matrix-4061, plain, ( hBOOL(hAPP(_u6788, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6790), _u6792))) | ~hBOOL(hAPP(_u6788, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6792 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-4062, plain, ( hBOOL(hAPP(_u6788, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6790), _u6792))) | ~hBOOL(hAPP(_u6788, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem147(_u6792, _u6790, _u6788)), _u6792)) )).
% 20.36/20.61 cnf(matrix-4063, plain, ( hBOOL(hAPP(_u6788, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6790), _u6792))) | ~hBOOL(hAPP(_u6788, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6790 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6792), skolem146(_u6792, _u6790, _u6788))), skolem147(_u6792, _u6790, _u6788))) )).
% 20.36/20.61 cnf(matrix-4064, plain, ( hBOOL(hAPP(_u6788, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6790), _u6792))) | ~hBOOL(hAPP(_u6788, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u6788, skolem146(_u6792, _u6790, _u6788))) )).
% 20.36/20.61 cnf(matrix-4065, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6793)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6794)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u6793)), hAPP(c_Int_Onat, _u6794)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6793), _u6794))) )).
% 20.36/20.61 cnf(matrix-4066, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6795)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6795), _u6796)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u6795)), hAPP(c_Int_Onat, _u6796))) )).
% 20.36/20.61 cnf(matrix-4067, plain, ( ~class_Groups_Omonoid__mult(_u6797) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6797), _u6798), 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(_u6797), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6797), _u6798), _u6798)), _u6798)) )).
% 20.36/20.61 cnf(matrix-4068, plain, ( ~class_Int_Onumber__ring(_u6799) | ~class_Rings_Olinordered__idom(_u6799) | ( hAPP(c_Groups_Oabs__class_Oabs(_u6799), hAPP(hAPP(c_Power_Opower__class_Opower(_u6799), hAPP(c_Int_Onumber__class_Onumber__of(_u6799), c_Int_OMin)), _u6800)) = c_Groups_Oone__class_Oone(_u6799)) )).
% 20.36/20.61 cnf(matrix-4069, plain, ( ( _u6803 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6805), _u6803) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-4070, plain, ( ( _u6804 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6806), _u6804) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6806), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6806), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6804), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 20.36/20.61 cnf(matrix-4071, 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), _u6809)), _u6811))) | ( _u6809 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6811 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-4072, 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), _u6810)), _u6812))) | ( _u6810 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.61 cnf(matrix-4073, 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), _u6810)), _u6812))) | ( _u6812 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-4074, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6813)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6813), _u6814)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6814), _u6813) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6814), _u6813)), _u6813))) )).
% 20.36/20.61 cnf(matrix-4075, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6815)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6815), _u6816)), _u6817)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6817), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6815), hAPP(c_Nat_OSuc, _u6816)))) | ( _u6816 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6817), _u6815)) )).
% 20.36/20.61 cnf(matrix-4076, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6815)) | ( _u6816 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6817), _u6815)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6815), _u6816)), _u6817)) )).
% 20.36/20.61 cnf(matrix-4077, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6815)) | ( _u6816 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6817), _u6815)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6817), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6815), hAPP(c_Nat_OSuc, _u6816)))) )).
% 20.36/20.61 cnf(matrix-4078, plain, ( ~hBOOL(hAPP(_u6823, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6825), _u6827))) | ( _u6827 = 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), _u6827), skolem148(_u6827, _u6825, _u6823))), _u6825)) )).
% 20.36/20.61 cnf(matrix-4079, plain, ( ~hBOOL(hAPP(_u6823, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6825), _u6827))) | ( _u6827 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6825), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6827), hAPP(c_Nat_OSuc, skolem148(_u6827, _u6825, _u6823))))) )).
% 20.36/20.61 cnf(matrix-4080, plain, ( ~hBOOL(hAPP(_u6823, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6825), _u6827))) | ( _u6827 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u6823, skolem148(_u6827, _u6825, _u6823))) )).
% 20.36/20.61 cnf(matrix-4081, plain, ( ~hBOOL(hAPP(_u6823, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6825), _u6827))) | hBOOL(hAPP(_u6823, 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), _u6827), skolem148(_u6827, _u6825, _u6823))), _u6825)) )).
% 20.36/20.61 cnf(matrix-4082, plain, ( ~hBOOL(hAPP(_u6823, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6825), _u6827))) | hBOOL(hAPP(_u6823, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6825), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6827), hAPP(c_Nat_OSuc, skolem148(_u6827, _u6825, _u6823))))) )).
% 20.36/20.61 cnf(matrix-4083, plain, ( ~hBOOL(hAPP(_u6823, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6825), _u6827))) | hBOOL(hAPP(_u6823, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u6823, skolem148(_u6827, _u6825, _u6823))) )).
% 20.36/20.61 cnf(matrix-4084, plain, ( hBOOL(hAPP(_u6824, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6826), _u6828))) | ( _u6828 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u6824, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.61 cnf(matrix-4085, plain, ( hBOOL(hAPP(_u6824, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6826), _u6828))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6828), _u6819)), _u6826)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6826), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6828), hAPP(c_Nat_OSuc, _u6819)))) | ~hBOOL(hAPP(_u6824, _u6819)) )).
% 20.36/20.61 cnf(matrix-4086, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6829), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u6830)))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6829), 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)))), _u6830))) )).
% 20.36/20.61 cnf(matrix-4087, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u6831)))), _u6832) = 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)))), _u6831)), _u6832)) )).
% 20.36/20.61 cnf(matrix-4088, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u6833)))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6834)) = 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)))), _u6833)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6834))) )).
% 20.36/20.61 cnf(matrix-4089, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u6835))), 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), _u6835), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 20.36/20.61 cnf(matrix-4090, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6836), _u6836)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = _u6836) )).
% 20.36/20.61 cnf(matrix-4091, plain, ( ~class_Rings_Osemiring__1(_u6837) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6837), c_Groups_Ozero__class_Ozero(_u6837)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u6837)) )).
% 20.36/20.61 cnf(matrix-4092, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u6838) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6838), _u6839), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(_u6838)) | ( _u6839 = c_Groups_Ozero__class_Ozero(_u6838)) )).
% 20.36/20.61 cnf(matrix-4093, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u6838) | ( _u6839 != c_Groups_Ozero__class_Ozero(_u6838)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6838), _u6839), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u6838)) )).
% 20.36/20.61 cnf(matrix-4094, plain, ( ~class_Rings_Ocomm__semiring__1(_u6840) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6840), _u6841), _u6841) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6840), _u6841), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 20.36/20.61 cnf(matrix-4095, plain, ( ~class_Groups_Omonoid__mult(_u6842) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6842), _u6843), 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(_u6842), _u6843), _u6843)) )).
% 20.36/20.61 cnf(matrix-4096, plain, ( ~class_Rings_Osemiring__1(_u6844) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6844), c_Groups_Oone__class_Oone(_u6844)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u6844)) )).
% 20.36/20.61 cnf(matrix-4097, plain, ( ~class_Rings_Oring__1(_u6845) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6845), hAPP(c_Groups_Ouminus__class_Ouminus(_u6845), _u6846)), 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(_u6845), _u6846), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 20.36/20.61 cnf(matrix-4098, plain, ( ~class_Groups_Omonoid__mult(_u6847) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6847), _u6848), 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)))), _u6849)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6847), hAPP(hAPP(c_Power_Opower__class_Opower(_u6847), _u6848), _u6849)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 20.36/20.61 cnf(matrix-4099, plain, ( ~class_Rings_Olinordered__idom(_u6850) | ( hAPP(c_Groups_Oabs__class_Oabs(_u6850), hAPP(hAPP(c_Power_Opower__class_Opower(_u6850), _u6851), 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(_u6850), _u6851), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 20.36/20.61 cnf(matrix-4100, plain, ( ~class_Rings_Olinordered__idom(_u6852) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6852), hAPP(c_Groups_Oabs__class_Oabs(_u6852), _u6853)), 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(_u6852), _u6853), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 20.36/20.61 cnf(matrix-4101, plain, ( ~class_Rings_Olinordered__semidom(_u6854) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6854), _u6855), 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(_u6854), _u6856), 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(_u6854), c_Groups_Ozero__class_Ozero(_u6854)), _u6855)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6854), c_Groups_Ozero__class_Ozero(_u6854)), _u6856)) | ( _u6855 = _u6856) )).
% 20.36/20.61 cnf(matrix-4102, plain, ( ~class_Rings_Olinordered__semidom(_u6857) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6857), hAPP(hAPP(c_Power_Opower__class_Opower(_u6857), _u6858), 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(_u6857), _u6859), 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(_u6857), c_Groups_Ozero__class_Ozero(_u6857)), _u6859)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6857), _u6858), _u6859)) )).
% 20.36/20.61 cnf(matrix-4103, plain, ( ~class_Rings_Olinordered__idom(_u6860) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6860), c_Groups_Ozero__class_Ozero(_u6860)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6860), _u6861), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 20.36/20.61 cnf(matrix-4104, plain, ( ~class_Rings_Olinordered__idom(_u6862) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6862), hAPP(hAPP(c_Power_Opower__class_Opower(_u6862), _u6863), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Ozero__class_Ozero(_u6862))) )).
% 20.36/20.61 cnf(matrix-4105, plain, ( ~class_Rings_Olinordered__idom(_u6864) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6864), c_Groups_Ozero__class_Ozero(_u6864)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6864), _u6865), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | ( _u6865 != c_Groups_Ozero__class_Ozero(_u6864)) )).
% 20.36/20.61 cnf(matrix-4106, plain, ( ~class_Rings_Olinordered__idom(_u6864) | ( _u6865 = c_Groups_Ozero__class_Ozero(_u6864)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6864), c_Groups_Ozero__class_Ozero(_u6864)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6864), _u6865), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 20.36/20.61 cnf(matrix-4107, plain, ( ~class_Rings_Olinordered__idom(_u6866) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6866), hAPP(hAPP(c_Power_Opower__class_Opower(_u6866), _u6867), 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(_u6866), _u6868), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u6866)) | ( _u6867 = c_Groups_Ozero__class_Ozero(_u6866)) )).
% 20.36/20.61 cnf(matrix-4108, plain, ( ~class_Rings_Olinordered__idom(_u6866) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6866), hAPP(hAPP(c_Power_Opower__class_Opower(_u6866), _u6867), 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(_u6866), _u6868), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u6866)) | ( _u6868 = c_Groups_Ozero__class_Ozero(_u6866)) )).
% 20.36/20.61 cnf(matrix-4109, plain, ( ~class_Rings_Olinordered__idom(_u6866) | ( _u6867 != c_Groups_Ozero__class_Ozero(_u6866)) | ( _u6868 != c_Groups_Ozero__class_Ozero(_u6866)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6866), hAPP(hAPP(c_Power_Opower__class_Opower(_u6866), _u6867), 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(_u6866), _u6868), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(_u6866)) )).
% 20.36/20.61 cnf(matrix-4110, plain, ( ~class_Groups_Omonoid__mult(_u6869) | ~class_Int_Onumber(_u6869) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6869), hAPP(c_Int_Onumber__class_Onumber__of(_u6869), _u6870)), 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(_u6869), hAPP(c_Int_Onumber__class_Onumber__of(_u6869), _u6870)), hAPP(c_Int_Onumber__class_Onumber__of(_u6869), _u6870))) )).
% 20.36/20.61 cnf(matrix-4111, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u6871) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6871), _u6872), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Oone__class_Oone(_u6871)) | ( _u6872 = c_Groups_Oone__class_Oone(_u6871)) | ( _u6872 = hAPP(c_Groups_Ouminus__class_Ouminus(_u6871), c_Groups_Oone__class_Oone(_u6871))) )).
% 20.36/20.61 cnf(matrix-4112, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u6871) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6871), _u6872), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u6871)) | ( _u6872 != c_Groups_Oone__class_Oone(_u6871)) )).
% 20.36/20.61 cnf(matrix-4113, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u6871) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6871), _u6872), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u6871)) | ( _u6872 != hAPP(c_Groups_Ouminus__class_Ouminus(_u6871), c_Groups_Oone__class_Oone(_u6871))) )).
% 20.36/20.61 cnf(matrix-4114, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6875))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6875)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6877)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-4115, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6876))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6876)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6878)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6876)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6878)))) )).
% 20.36/20.61 cnf(matrix-4116, plain, ( ~class_Rings_Ocomm__semiring__1(_u6879) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6879), _u6880), 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)))), _u6881)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6879), hAPP(hAPP(c_Power_Opower__class_Opower(_u6879), _u6880), _u6881)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6879), _u6880), _u6881))) )).
% 20.36/20.61 cnf(matrix-4117, plain, ( ~class_Rings_Oring__1(_u6882) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6882), hAPP(c_Groups_Ouminus__class_Ouminus(_u6882), _u6883)), 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)))), _u6884)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6882), _u6883), 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)))), _u6884))) )).
% 20.36/20.61 cnf(matrix-4118, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u6885)) | 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), _u6885), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 20.36/20.61 cnf(matrix-4119, plain, ( ~class_Rings_Olinordered__semidom(_u6886) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6886), hAPP(hAPP(c_Power_Opower__class_Opower(_u6886), _u6887), 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(_u6886), _u6888), 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(_u6886), c_Groups_Ozero__class_Ozero(_u6886)), _u6888)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6886), _u6887), _u6888)) )).
% 20.36/20.61 cnf(matrix-4120, 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), _u6889)) = 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), _u6889)))) )).
% 20.36/20.61 cnf(matrix-4121, plain, ( ~class_Rings_Olinordered__idom(_u6890) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6890), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6890), hAPP(hAPP(c_Power_Opower__class_Opower(_u6890), _u6891), 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(_u6890), _u6892), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u6890))) | ( _u6891 = c_Groups_Ozero__class_Ozero(_u6890)) )).
% 20.36/20.61 cnf(matrix-4122, plain, ( ~class_Rings_Olinordered__idom(_u6890) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6890), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6890), hAPP(hAPP(c_Power_Opower__class_Opower(_u6890), _u6891), 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(_u6890), _u6892), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u6890))) | ( _u6892 = c_Groups_Ozero__class_Ozero(_u6890)) )).
% 20.36/20.61 cnf(matrix-4123, plain, ( ~class_Rings_Olinordered__idom(_u6890) | ( _u6891 != c_Groups_Ozero__class_Ozero(_u6890)) | ( _u6892 != c_Groups_Ozero__class_Ozero(_u6890)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6890), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6890), hAPP(hAPP(c_Power_Opower__class_Opower(_u6890), _u6891), 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(_u6890), _u6892), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u6890))) )).
% 20.36/20.61 cnf(matrix-4124, plain, ( ~class_Rings_Olinordered__idom(_u6893) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6893), c_Groups_Ozero__class_Ozero(_u6893)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6893), hAPP(hAPP(c_Power_Opower__class_Opower(_u6893), _u6894), 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(_u6893), _u6895), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 20.36/20.61 cnf(matrix-4125, plain, ( ~class_Rings_Olinordered__idom(_u6896) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6896), c_Groups_Ozero__class_Ozero(_u6896)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6896), hAPP(hAPP(c_Power_Opower__class_Opower(_u6896), _u6897), 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(_u6896), _u6898), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u6897 != c_Groups_Ozero__class_Ozero(_u6896)) | ( _u6898 != c_Groups_Ozero__class_Ozero(_u6896)) )).
% 20.36/20.61 cnf(matrix-4126, plain, ( ~class_Rings_Olinordered__idom(_u6896) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6896), c_Groups_Ozero__class_Ozero(_u6896)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6896), hAPP(hAPP(c_Power_Opower__class_Opower(_u6896), _u6897), 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(_u6896), _u6898), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u6897 = c_Groups_Ozero__class_Ozero(_u6896)) )).
% 20.36/20.61 cnf(matrix-4127, plain, ( ~class_Rings_Olinordered__idom(_u6896) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6896), c_Groups_Ozero__class_Ozero(_u6896)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6896), hAPP(hAPP(c_Power_Opower__class_Opower(_u6896), _u6897), 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(_u6896), _u6898), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u6898 = c_Groups_Ozero__class_Ozero(_u6896)) )).
% 20.36/20.61 cnf(matrix-4128, plain, ( ~class_Rings_Olinordered__idom(_u6899) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6899), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6899), hAPP(hAPP(c_Power_Opower__class_Opower(_u6899), _u6900), 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(_u6899), _u6901), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u6899))) )).
% 20.36/20.61 cnf(matrix-4129, plain, ( ~class_Int_Onumber__ring(_u6902) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6902), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6902), _u6903), _u6904)), 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(_u6902), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6902), hAPP(hAPP(c_Power_Opower__class_Opower(_u6902), _u6903), 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(_u6902), _u6904), 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(_u6902), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6902), hAPP(c_Int_Onumber__class_Onumber__of(_u6902), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u6903)), _u6904))) )).
% 20.36/20.61 cnf(matrix-4130, plain, ( ~class_Rings_Olinordered__idom(_u6905) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6905), c_Groups_Ozero__class_Ozero(_u6905)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6905), _u6906), 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)))), _u6907)))) )).
% 20.36/20.61 cnf(matrix-4131, plain, ( ~class_Rings_Ocomm__semiring__1(_u6908) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6908), _u6909), 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)))), _u6910))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6908), _u6909), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6908), hAPP(hAPP(c_Power_Opower__class_Opower(_u6908), _u6909), _u6910)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6908), _u6909), _u6910)))) )).
% 20.36/20.61 cnf(matrix-4132, plain, ( ~class_Groups_Omonoid__mult(_u6911) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6911), _u6912), 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)))), _u6913))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6911), _u6912), hAPP(hAPP(c_Power_Opower__class_Opower(_u6911), hAPP(hAPP(c_Power_Opower__class_Opower(_u6911), _u6912), _u6913)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 20.36/20.61 cnf(matrix-4133, plain, ( ~class_Rings_Oring__1(_u6914) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6914), hAPP(c_Groups_Ouminus__class_Ouminus(_u6914), c_Groups_Oone__class_Oone(_u6914))), 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)))), _u6915)) = c_Groups_Oone__class_Oone(_u6914)) )).
% 20.36/20.61 cnf(matrix-4134, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6916)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6917)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6917), _u6916)), _u6917) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6917), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6916), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 20.36/20.61 cnf(matrix-4135, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6918)) | 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), _u6918), 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)))))) )).
% 20.36/20.61 cnf(matrix-4136, plain, ( ~class_Int_Onumber__ring(_u6919) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6919), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6919), _u6920), _u6921)), 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(_u6919), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6919), hAPP(hAPP(c_Power_Opower__class_Opower(_u6919), _u6920), 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(_u6919), _u6921), 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(_u6919), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6919), hAPP(c_Int_Onumber__class_Onumber__of(_u6919), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u6920)), _u6921))) )).
% 20.36/20.61 cnf(matrix-4137, plain, ( ~class_Rings_Olinordered__idom(_u6922) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6922), c_Groups_Ozero__class_Ozero(_u6922)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6922), _u6923), 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)))), _u6924))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6922), c_Groups_Ozero__class_Ozero(_u6922)), _u6923)) )).
% 20.36/20.61 cnf(matrix-4138, plain, ( ~class_Rings_Olinordered__idom(_u6925) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6925), _u6926), c_Groups_Ozero__class_Ozero(_u6925))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6925), hAPP(hAPP(c_Power_Opower__class_Opower(_u6925), _u6926), 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)))), _u6927)))), c_Groups_Ozero__class_Ozero(_u6925))) )).
% 20.36/20.61 cnf(matrix-4139, plain, ( ~class_Rings_Oring__1(_u6928) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6928), hAPP(c_Groups_Ouminus__class_Ouminus(_u6928), c_Groups_Oone__class_Oone(_u6928))), 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)))), _u6929))) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6928), c_Groups_Oone__class_Oone(_u6928))) )).
% 20.36/20.61 cnf(matrix-4140, plain, ( ~class_Int_Onumber__ring(_u6930) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6930), hAPP(c_Int_Onumber__class_Onumber__of(_u6930), 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)))), _u6931)) = c_Groups_Oone__class_Oone(_u6930)) )).
% 20.36/20.61 cnf(matrix-4141, plain, ( ( _u6933 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Code__Numeral_Oint__of, _u6933) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.61 cnf(matrix-4142, plain, ( ( _u6934 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u6934, 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, _u6934) = 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), _u6934), hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 20.36/20.61 cnf(matrix-4143, plain, ( ( _u6934 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u6934, 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, _u6934) = 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), _u6934), 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))) )).
% 20.36/20.61 cnf(matrix-4144, plain, ( ~class_Rings_Olinordered__semidom(_u6935) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6935), _u6936), _u6937)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6935), c_Groups_Ozero__class_Ozero(_u6935)), _u6936)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6938)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6935), hAPP(hAPP(c_Power_Opower__class_Opower(_u6935), _u6936), _u6938)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6935), _u6937), _u6938))) )).
% 20.36/20.61 cnf(matrix-4145, plain, ( ~class_Fields_Ofield(_u6939) | ( _u6940 = c_Groups_Ozero__class_Ozero(_u6939)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6941), _u6942)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6939), _u6940), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6942), _u6941)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u6939), hAPP(hAPP(c_Power_Opower__class_Opower(_u6939), _u6940), _u6942)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6939), _u6940), _u6941))) )).
% 20.36/20.61 cnf(matrix-4146, plain, ( ~class_Rings_Olinordered__semidom(_u6943) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6943), c_Groups_Oone__class_Oone(_u6943)), _u6944)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6945)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6943), c_Groups_Oone__class_Oone(_u6943)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6943), _u6944), _u6945))) )).
% 20.36/20.61 cnf(matrix-4147, plain, ( ~class_Rings_Olinordered__semidom(_u6946) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6946), c_Groups_Oone__class_Oone(_u6946)), _u6947)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6946), hAPP(hAPP(c_Power_Opower__class_Opower(_u6946), _u6947), _u6948)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6946), _u6947), _u6949))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6948), _u6949)) )).
% 20.36/20.61 cnf(matrix-4148, plain, ( ~class_Rings_Olinordered__semidom(_u6946) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6946), c_Groups_Oone__class_Oone(_u6946)), _u6947)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6948), _u6949)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6946), hAPP(hAPP(c_Power_Opower__class_Opower(_u6946), _u6947), _u6948)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6946), _u6947), _u6949))) )).
% 20.36/20.61 cnf(matrix-4149, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u6950) | ( _u6951 = c_Groups_Ozero__class_Ozero(_u6950)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6950), _u6951), _u6952) != c_Groups_Ozero__class_Ozero(_u6950)) )).
% 20.36/20.61 cnf(matrix-4150, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6953) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.61 cnf(matrix-4151, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6956), _u6958) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6958 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6956 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.61 cnf(matrix-4152, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6957), _u6959) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6959 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-4153, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6957), _u6959) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6957 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.61 cnf(matrix-4154, 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), _u6962), _u6964))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6962)) | ( _u6964 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-4155, 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), _u6963), _u6965))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6963)) )).
% 20.36/20.61 cnf(matrix-4156, 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), _u6963), _u6965))) | ( _u6965 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-4157, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6966)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6966), _u6967)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6966), _u6968))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6967), _u6968)) )).
% 20.36/20.61 cnf(matrix-4158, plain, ( ~class_Groups_Ocomm__monoid__mult(_u6969) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6969), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6969), _u6970), _u6971)), _u6972) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6969), hAPP(hAPP(c_Power_Opower__class_Opower(_u6969), _u6970), _u6972)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6969), _u6971), _u6972))) )).
% 20.36/20.61 cnf(matrix-4159, plain, ( ~class_Groups_Omonoid__mult(_u6973) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6973), hAPP(hAPP(c_Power_Opower__class_Opower(_u6973), _u6974), _u6975)), _u6974) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6973), _u6974), hAPP(hAPP(c_Power_Opower__class_Opower(_u6973), _u6974), _u6975))) )).
% 20.36/20.61 cnf(matrix-4160, plain, ( ~class_Groups_Omonoid__mult(_u6976) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6976), c_Groups_Oone__class_Oone(_u6976)), _u6977) = c_Groups_Oone__class_Oone(_u6976)) )).
% 20.36/20.61 cnf(matrix-4161, plain, ( ~class_Rings_Osemiring__1(_u6978) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6978), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6979), _u6980)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6978), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6978), _u6979)), _u6980)) )).
% 20.36/20.61 cnf(matrix-4162, plain, ( ~class_Groups_Omonoid__mult(_u6981) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6981), _u6982), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6983), _u6984)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6981), hAPP(hAPP(c_Power_Opower__class_Opower(_u6981), _u6982), _u6983)), _u6984)) )).
% 20.36/20.61 cnf(matrix-4163, plain, ( ~class_Fields_Ofield__inverse__zero(_u6985) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6985), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u6985), _u6986), _u6987)), _u6988) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u6985), hAPP(hAPP(c_Power_Opower__class_Opower(_u6985), _u6986), _u6988)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6985), _u6987), _u6988))) )).
% 20.36/20.61 cnf(matrix-4164, plain, ( ~class_Rings_Olinordered__idom(_u6989) | ( hAPP(c_Groups_Oabs__class_Oabs(_u6989), hAPP(hAPP(c_Power_Opower__class_Opower(_u6989), _u6990), _u6991)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6989), hAPP(c_Groups_Oabs__class_Oabs(_u6989), _u6990)), _u6991)) )).
% 20.36/20.61 cnf(matrix-4165, plain, ( ~class_Groups_Omonoid__mult(_u6992) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6992), _u6993), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u6993) )).
% 20.36/20.61 cnf(matrix-4166, plain, ( ~class_Rings_Olinordered__semidom(_u6994) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6994), c_Groups_Ozero__class_Ozero(_u6994)), _u6995)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6994), c_Groups_Ozero__class_Ozero(_u6994)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6994), _u6995), _u6996))) )).
% 20.36/20.61 cnf(matrix-4167, plain, ( ~class_Rings_Olinordered__semidom(_u6997) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6997), _u6998), _u6999)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6997), c_Groups_Ozero__class_Ozero(_u6997)), _u6998)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6997), hAPP(hAPP(c_Power_Opower__class_Opower(_u6997), _u6998), _u7000)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6997), _u6999), _u7000))) )).
% 20.36/20.61 cnf(matrix-4168, plain, ( ~class_Rings_Olinordered__semidom(_u7001) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7001), c_Groups_Ozero__class_Ozero(_u7001)), _u7002)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7001), c_Groups_Ozero__class_Ozero(_u7001)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7001), _u7002), _u7003))) )).
% 20.36/20.61 cnf(matrix-4169, plain, ( ~class_Power_Opower(_u7004) | ~class_Rings_Omult__zero(_u7004) | ~class_Rings_Ono__zero__divisors(_u7004) | ~class_Rings_Ozero__neq__one(_u7004) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7004), _u7005), _u7006) != c_Groups_Ozero__class_Ozero(_u7004)) | ( _u7005 = c_Groups_Ozero__class_Ozero(_u7004)) )).
% 20.36/20.61 cnf(matrix-4170, plain, ( ~class_Power_Opower(_u7004) | ~class_Rings_Omult__zero(_u7004) | ~class_Rings_Ono__zero__divisors(_u7004) | ~class_Rings_Ozero__neq__one(_u7004) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7004), _u7005), _u7006) != c_Groups_Ozero__class_Ozero(_u7004)) | ( _u7006 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-4171, plain, ( ~class_Power_Opower(_u7004) | ~class_Rings_Omult__zero(_u7004) | ~class_Rings_Ono__zero__divisors(_u7004) | ~class_Rings_Ozero__neq__one(_u7004) | ( _u7005 != c_Groups_Ozero__class_Ozero(_u7004)) | ( _u7006 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7004), _u7005), _u7006) = c_Groups_Ozero__class_Ozero(_u7004)) )).
% 20.36/20.61 cnf(matrix-4172, plain, ( ~class_Rings_Olinordered__semidom(_u7007) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7007), c_Groups_Oone__class_Oone(_u7007)), _u7008)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7007), c_Groups_Oone__class_Oone(_u7007)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7007), _u7008), _u7009))) )).
% 20.36/20.61 cnf(matrix-4173, plain, ( ~class_Power_Opower(_u7010) | ~class_Rings_Osemiring__0(_u7010) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7010), c_Groups_Ozero__class_Ozero(_u7010)), hAPP(c_Nat_OSuc, _u7011)) = c_Groups_Ozero__class_Ozero(_u7010)) )).
% 20.36/20.61 cnf(matrix-4174, plain, ( ~class_Rings_Olinordered__semidom(_u7012) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7012), c_Groups_Oone__class_Oone(_u7012)), _u7013)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7012), _u7013), _u7014) != hAPP(hAPP(c_Power_Opower__class_Opower(_u7012), _u7013), _u7015)) | ( _u7014 = _u7015) )).
% 20.36/20.61 cnf(matrix-4175, plain, ( ~class_Rings_Olinordered__semidom(_u7012) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7012), c_Groups_Oone__class_Oone(_u7012)), _u7013)) | ( _u7014 != _u7015) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7012), _u7013), _u7014) = hAPP(hAPP(c_Power_Opower__class_Opower(_u7012), _u7013), _u7015)) )).
% 20.36/20.61 cnf(matrix-4176, plain, ( ~class_Power_Opower(_u7016) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7016), _u7017), hAPP(c_Nat_OSuc, _u7018)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7016), _u7017), hAPP(hAPP(c_Power_Opower__class_Opower(_u7016), _u7017), _u7018))) )).
% 20.36/20.61 cnf(matrix-4177, plain, ( ~class_Groups_Omonoid__mult(_u7019) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7019), _u7020), hAPP(c_Nat_OSuc, _u7021)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7019), hAPP(hAPP(c_Power_Opower__class_Opower(_u7019), _u7020), _u7021)), _u7020)) )).
% 20.36/20.61 cnf(matrix-4178, 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))), _u7022)) | 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), _u7022), _u7023))) )).
% 20.36/20.61 cnf(matrix-4179, plain, ( ~class_Power_Opower(_u7024) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7024), _u7025), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u7024)) )).
% 20.36/20.61 cnf(matrix-4180, plain, ( ~class_Groups_Omonoid__mult(_u7026) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7026), _u7027), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7028), _u7029)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7026), hAPP(hAPP(c_Power_Opower__class_Opower(_u7026), _u7027), _u7028)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7026), _u7027), _u7029))) )).
% 20.36/20.61 cnf(matrix-4181, plain, ( ~class_Fields_Ofield(_u7030) | ( _u7031 = c_Groups_Ozero__class_Ozero(_u7030)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7030), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7030), _u7032), _u7031)), _u7033) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7030), hAPP(hAPP(c_Power_Opower__class_Opower(_u7030), _u7032), _u7033)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7030), _u7031), _u7033))) )).
% 20.36/20.61 cnf(matrix-4182, plain, ( ~class_Fields_Ofield__inverse__zero(_u7034) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7034), c_Groups_Oone__class_Oone(_u7034)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7034), _u7035), _u7036)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u7034), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7034), c_Groups_Oone__class_Oone(_u7034)), _u7035)), _u7036)) )).
% 20.36/20.61 cnf(matrix-4183, plain, ( ~class_Rings_Olinordered__idom(_u7037) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7037), hAPP(hAPP(c_Power_Opower__class_Opower(_u7037), hAPP(c_Groups_Ouminus__class_Ouminus(_u7037), _u7038)), _u7039)) = hAPP(c_Groups_Oabs__class_Oabs(_u7037), hAPP(hAPP(c_Power_Opower__class_Opower(_u7037), _u7038), _u7039))) )).
% 20.36/20.61 cnf(matrix-4184, plain, ( ~class_Rings_Olinordered__semidom(_u7040) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7040), hAPP(hAPP(c_Power_Opower__class_Opower(_u7040), _u7041), _u7042)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7040), _u7043), _u7042))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7040), c_Groups_Ozero__class_Ozero(_u7040)), _u7043)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7040), _u7041), _u7043)) )).
% 20.36/20.61 cnf(matrix-4185, plain, ( ~class_Rings_Olinordered__semidom(_u7044) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7044), _u7045), hAPP(c_Nat_OSuc, _u7046)) != hAPP(hAPP(c_Power_Opower__class_Opower(_u7044), _u7047), hAPP(c_Nat_OSuc, _u7046))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7044), c_Groups_Ozero__class_Ozero(_u7044)), _u7045)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7044), c_Groups_Ozero__class_Ozero(_u7044)), _u7047)) | ( _u7045 = _u7047) )).
% 20.36/20.61 cnf(matrix-4186, plain, ( ~class_Rings_Olinordered__semidom(_u7048) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7048), hAPP(hAPP(c_Power_Opower__class_Opower(_u7048), _u7049), hAPP(c_Nat_OSuc, _u7050))), hAPP(hAPP(c_Power_Opower__class_Opower(_u7048), _u7051), hAPP(c_Nat_OSuc, _u7050)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7048), c_Groups_Ozero__class_Ozero(_u7048)), _u7051)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7048), _u7049), _u7051)) )).
% 20.36/20.61 cnf(matrix-4187, plain, ( ~class_Rings_Olinordered__semidom(_u7052) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7052), c_Groups_Oone__class_Oone(_u7052)), _u7053)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7052), c_Groups_Oone__class_Oone(_u7052)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7052), _u7053), hAPP(hAPP(c_Power_Opower__class_Opower(_u7052), _u7053), _u7054)))) )).
% 20.36/20.61 cnf(matrix-4188, plain, ( ~class_Rings_Olinordered__semidom(_u7055) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7055), c_Groups_Oone__class_Oone(_u7055)), _u7056)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7055), hAPP(hAPP(c_Power_Opower__class_Opower(_u7055), _u7056), _u7057)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7055), _u7056), hAPP(hAPP(c_Power_Opower__class_Opower(_u7055), _u7056), _u7057)))) )).
% 20.36/20.61 cnf(matrix-4189, plain, ( ~class_Power_Opower(_u7058) | ~class_Rings_Osemiring__0(_u7058) | ( _u7059 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7058), c_Groups_Ozero__class_Ozero(_u7058)), _u7059) = c_Groups_Oone__class_Oone(_u7058)) )).
% 20.36/20.61 cnf(matrix-4190, plain, ( ~class_Power_Opower(_u7058) | ~class_Rings_Osemiring__0(_u7058) | ( _u7059 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7058), c_Groups_Ozero__class_Ozero(_u7058)), _u7059) = c_Groups_Ozero__class_Ozero(_u7058)) )).
% 20.36/20.61 cnf(matrix-4191, plain, ( ~class_Rings_Olinordered__semidom(_u7060) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7060), c_Groups_Oone__class_Oone(_u7060)), _u7061)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7060), c_Groups_Oone__class_Oone(_u7060)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7060), _u7061), hAPP(c_Nat_OSuc, _u7062)))) )).
% 20.36/20.61 cnf(matrix-4192, plain, ( ~class_Rings_Olinordered__semidom(_u7063) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7063), c_Groups_Oone__class_Oone(_u7063)), _u7064)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7063), hAPP(hAPP(c_Power_Opower__class_Opower(_u7063), _u7064), _u7065)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7063), _u7064), _u7066))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7065), _u7066)) )).
% 20.36/20.61 cnf(matrix-4193, plain, ( ~class_Rings_Olinordered__semidom(_u7063) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7063), c_Groups_Oone__class_Oone(_u7063)), _u7064)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7065), _u7066)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7063), hAPP(hAPP(c_Power_Opower__class_Opower(_u7063), _u7064), _u7065)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7063), _u7064), _u7066))) )).
% 20.36/20.61 cnf(matrix-4194, plain, ( ~class_Rings_Olinordered__semidom(_u7067) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7067), c_Groups_Oone__class_Oone(_u7067)), _u7068)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7067), hAPP(hAPP(c_Power_Opower__class_Opower(_u7067), _u7068), _u7069)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7067), _u7068), _u7070))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7069), _u7070)) )).
% 20.36/20.61 cnf(matrix-4195, plain, ( ~class_Rings_Olinordered__semidom(_u7071) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7072), _u7073)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7071), c_Groups_Oone__class_Oone(_u7071)), _u7074)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7071), hAPP(hAPP(c_Power_Opower__class_Opower(_u7071), _u7074), _u7072)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7071), _u7074), _u7073))) )).
% 20.36/20.61 cnf(matrix-4196, plain, ( ~class_Rings_Olinordered__idom(_u7075) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7075), c_Groups_Ozero__class_Ozero(_u7075)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7075), hAPP(c_Groups_Oabs__class_Oabs(_u7075), _u7076)), _u7077))) )).
% 20.36/20.61 cnf(matrix-4197, plain, ( ~class_Rings_Olinordered__semidom(_u7078) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7079), _u7080)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7078), c_Groups_Oone__class_Oone(_u7078)), _u7081)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7078), hAPP(hAPP(c_Power_Opower__class_Opower(_u7078), _u7081), _u7079)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7078), _u7081), _u7080))) )).
% 20.36/20.61 cnf(matrix-4198, plain, ( ~class_Rings_Oring__1(_u7082) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7082), hAPP(c_Groups_Ouminus__class_Ouminus(_u7082), _u7083)), _u7084) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7082), hAPP(hAPP(c_Power_Opower__class_Opower(_u7082), hAPP(c_Groups_Ouminus__class_Ouminus(_u7082), c_Groups_Oone__class_Oone(_u7082))), _u7084)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7082), _u7083), _u7084))) )).
% 20.36/20.61 cnf(matrix-4199, plain, ( ~class_Rings_Olinordered__semidom(_u7085) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7085), c_Groups_Ozero__class_Ozero(_u7085)), _u7086)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7085), _u7086), c_Groups_Oone__class_Oone(_u7085))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7085), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7085), _u7086), hAPP(hAPP(c_Power_Opower__class_Opower(_u7085), _u7086), _u7087))), hAPP(hAPP(c_Power_Opower__class_Opower(_u7085), _u7086), _u7087))) )).
% 20.36/20.61 cnf(matrix-4200, plain, ( ~class_Rings_Olinordered__semidom(_u7088) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7088), _u7089), _u7090) != hAPP(hAPP(c_Power_Opower__class_Opower(_u7088), _u7091), _u7090)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7088), c_Groups_Ozero__class_Ozero(_u7088)), _u7089)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7088), c_Groups_Ozero__class_Ozero(_u7088)), _u7091)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7090)) | ( _u7089 = _u7091) )).
% 20.36/20.61 cnf(matrix-4201, plain, ( ~class_Rings_Olinordered__semidom(_u7092) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7092), c_Groups_Ozero__class_Ozero(_u7092)), _u7093)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7092), _u7093), c_Groups_Oone__class_Oone(_u7092))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7092), hAPP(hAPP(c_Power_Opower__class_Opower(_u7092), _u7093), hAPP(c_Nat_OSuc, _u7094))), c_Groups_Oone__class_Oone(_u7092))) )).
% 20.36/20.61 cnf(matrix-4202, plain, ( ~class_Rings_Olinordered__semidom(_u7095) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7096), _u7097)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7095), c_Groups_Ozero__class_Ozero(_u7095)), _u7098)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7095), _u7098), c_Groups_Oone__class_Oone(_u7095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7095), hAPP(hAPP(c_Power_Opower__class_Opower(_u7095), _u7098), _u7097)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7095), _u7098), _u7096))) )).
% 20.36/20.61 cnf(matrix-4203, plain, ( ~class_Rings_Olinordered__semidom(_u7099) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7100), _u7101)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7099), c_Groups_Ozero__class_Ozero(_u7099)), _u7102)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7099), _u7102), c_Groups_Oone__class_Oone(_u7099))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7099), hAPP(hAPP(c_Power_Opower__class_Opower(_u7099), _u7102), _u7101)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7099), _u7102), _u7100))) )).
% 20.36/20.61 cnf(matrix-4204, plain, ( ~class_Rings_Olinordered__semidom(_u7103) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7103), c_Groups_Oone__class_Oone(_u7103)), _u7104)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7103), hAPP(hAPP(c_Power_Opower__class_Opower(_u7103), _u7104), _u7105)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7103), _u7104), _u7106))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7105), _u7106)) )).
% 20.36/20.61 cnf(matrix-4205, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7107), _u7108)) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u7107, tc_HOL_Obool)), hAPP(c_Set_OPow(_u7107), _u7108)) = 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(_u7107), _u7108))) )).
% 20.36/20.61 cnf(matrix-4206, plain, ( ~class_Power_Opower(_u7109) | ( c_Power_Opower__class_Opower(_u7109) = c_Power_Opower_Opower(_u7109, c_Groups_Oone__class_Oone(_u7109), c_Groups_Otimes__class_Otimes(_u7109))) )).
% 20.36/20.61 cnf(matrix-4207, 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)) )).
% 20.36/20.61 cnf(matrix-4208, plain, ( ~class_Rings_Oring__1(_u7110) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7111), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7110), _u7111) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7110), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7110), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7111))))) )).
% 20.36/20.61 cnf(matrix-4209, plain, ( ~class_Rings_Oring__1(_u7110) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7111), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7110), _u7111) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7110), hAPP(c_Int_Onat, _u7111))) )).
% 20.36/20.61 cnf(matrix-4210, plain, ( ( c_Nitpick_Oint__lcm(_u7112, _u7113) = 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), _u7112)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7113))))) )).
% 20.36/20.61 cnf(matrix-4211, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7114, tc_HOL_Obool)), _u7115), _u7116)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u7114, tc_HOL_Obool)), _u7115), hAPP(c_Set_OPow(_u7114), _u7116))) )).
% 20.36/20.61 cnf(matrix-4212, plain, ( ~class_Int_Oring__char__0(_u7117) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7117), _u7118) != hAPP(c_Int_Oring__1__class_Oof__int(_u7117), _u7119)) | ( _u7118 = _u7119) )).
% 20.36/20.61 cnf(matrix-4213, plain, ( ~class_Int_Oring__char__0(_u7117) | ( _u7118 != _u7119) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7117), _u7118) = hAPP(c_Int_Oring__1__class_Oof__int(_u7117), _u7119)) )).
% 20.36/20.61 cnf(matrix-4214, plain, ( ~class_Int_Onumber__ring(_u7120) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u7120), _u7121) = hAPP(c_Int_Oring__1__class_Oof__int(_u7120), _u7121)) )).
% 20.36/20.61 cnf(matrix-4215, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7122) = hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint), _u7122)) )).
% 20.36/20.61 cnf(matrix-4216, plain, ( ( hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7123)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7123)) )).
% 20.36/20.61 cnf(matrix-4217, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u7124, tc_HOL_Obool)), _u7125), hAPP(c_Set_OPow(_u7124), _u7125))) )).
% 20.36/20.61 cnf(matrix-4218, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u7126, tc_HOL_Obool), hAPP(c_Set_OPow(_u7126), _u7127)) = _u7127) )).
% 20.36/20.61 cnf(matrix-4219, plain, ( ( hAPP(c_Set_OPow(_u7128), _u7129) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u7128, tc_HOL_Obool), tc_HOL_Obool))) )).
% 20.36/20.61 cnf(matrix-4220, plain, ( ~class_Rings_Oring__1(_u7130) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7130), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(_u7130)) )).
% 20.36/20.61 cnf(matrix-4221, plain, ( ~class_Int_Oring__char__0(_u7131) | ( c_Groups_Ozero__class_Ozero(_u7131) != hAPP(c_Int_Oring__1__class_Oof__int(_u7131), _u7132)) | ( _u7132 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.61 cnf(matrix-4222, plain, ( ~class_Int_Oring__char__0(_u7131) | ( _u7132 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Ozero__class_Ozero(_u7131) = hAPP(c_Int_Oring__1__class_Oof__int(_u7131), _u7132)) )).
% 20.36/20.61 cnf(matrix-4223, plain, ( ~class_Int_Oring__char__0(_u7133) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7133), _u7134) != c_Groups_Ozero__class_Ozero(_u7133)) | ( _u7134 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.61 cnf(matrix-4224, plain, ( ~class_Int_Oring__char__0(_u7133) | ( _u7134 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7133), _u7134) = c_Groups_Ozero__class_Ozero(_u7133)) )).
% 20.36/20.61 cnf(matrix-4225, plain, ( ~class_Rings_Olinordered__idom(_u7135) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7135), hAPP(c_Int_Oring__1__class_Oof__int(_u7135), _u7136)), hAPP(c_Int_Oring__1__class_Oof__int(_u7135), _u7137))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7136), _u7137)) )).
% 20.36/20.61 cnf(matrix-4226, plain, ( ~class_Rings_Olinordered__idom(_u7135) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7136), _u7137)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7135), hAPP(c_Int_Oring__1__class_Oof__int(_u7135), _u7136)), hAPP(c_Int_Oring__1__class_Oof__int(_u7135), _u7137))) )).
% 20.36/20.61 cnf(matrix-4227, plain, ( ~class_Rings_Olinordered__idom(_u7138) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7138), hAPP(c_Int_Oring__1__class_Oof__int(_u7138), _u7139)), hAPP(c_Int_Oring__1__class_Oof__int(_u7138), _u7140))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7139), _u7140)) )).
% 20.36/20.61 cnf(matrix-4228, plain, ( ~class_Rings_Olinordered__idom(_u7138) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7139), _u7140)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7138), hAPP(c_Int_Oring__1__class_Oof__int(_u7138), _u7139)), hAPP(c_Int_Oring__1__class_Oof__int(_u7138), _u7140))) )).
% 20.36/20.61 cnf(matrix-4229, plain, ( ~class_Rings_Oring__1(_u7141) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7141), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7142), _u7143)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7141), hAPP(c_Int_Oring__1__class_Oof__int(_u7141), _u7142)), hAPP(c_Int_Oring__1__class_Oof__int(_u7141), _u7143))) )).
% 20.36/20.61 cnf(matrix-4230, plain, ( ~class_Int_Onumber__ring(_u7144) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7144), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7145)) = hAPP(c_Int_Onumber__class_Onumber__of(_u7144), _u7145)) )).
% 20.36/20.61 cnf(matrix-4231, plain, ( ~class_Rings_Oring__1(_u7146) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7146), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7147), _u7148)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7146), hAPP(c_Int_Oring__1__class_Oof__int(_u7146), _u7147)), hAPP(c_Int_Oring__1__class_Oof__int(_u7146), _u7148))) )).
% 20.36/20.61 cnf(matrix-4232, plain, ( ~class_Rings_Oring__1(_u7149) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7149), c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Oone__class_Oone(_u7149)) )).
% 20.36/20.61 cnf(matrix-4233, plain, ( ~class_Rings_Oring__1(_u7150) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7150), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7151), _u7152)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7150), hAPP(c_Int_Oring__1__class_Oof__int(_u7150), _u7151)), hAPP(c_Int_Oring__1__class_Oof__int(_u7150), _u7152))) )).
% 20.36/20.61 cnf(matrix-4234, plain, ( ~class_Rings_Oring__1(_u7153) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7153), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7154)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7153), _u7154)) )).
% 20.36/20.61 cnf(matrix-4235, plain, ( ~class_Rings_Oring__1(_u7155) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7155), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7156)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7155), hAPP(c_Int_Oring__1__class_Oof__int(_u7155), _u7156))) )).
% 20.36/20.61 cnf(matrix-4236, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u7157, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u7157, tc_HOL_Obool))), hAPP(c_Set_OPow(_u7157), _u7158))) )).
% 20.36/20.61 cnf(matrix-4237, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u7162, tc_HOL_Obool)), _u7164), hAPP(c_Set_OPow(_u7162), _u7166))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7162, tc_HOL_Obool)), _u7164), _u7166)) )).
% 20.36/20.61 cnf(matrix-4238, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7163, tc_HOL_Obool)), _u7165), _u7167)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u7163, tc_HOL_Obool)), _u7165), hAPP(c_Set_OPow(_u7163), _u7167))) )).
% 20.36/20.61 cnf(matrix-4239, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u7168, tc_HOL_Obool)), _u7169), hAPP(c_Set_OPow(_u7168), _u7170))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7168, tc_HOL_Obool)), _u7169), _u7170)) )).
% 20.36/20.61 cnf(matrix-4240, plain, ( ~class_Rings_Oring__1(_u7171) | hBOOL(hAPP(hAPP(c_member(_u7171), hAPP(c_Int_Oring__1__class_Oof__int(_u7171), _u7172)), c_Int_Oring__1__class_OInts(_u7171))) )).
% 20.36/20.61 cnf(matrix-4241, plain, ( ~class_Rings_Oring__1(_u7173) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7173), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u7174), _u7175)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u7173), hAPP(c_Int_Oring__1__class_Oof__int(_u7173), _u7174)), _u7175)) )).
% 20.36/20.61 cnf(matrix-4242, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7176, tc_HOL_Obool)), _u7177), _u7178)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u7176, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u7176), _u7177)), hAPP(c_Set_OPow(_u7176), _u7178))) )).
% 20.36/20.61 cnf(matrix-4243, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u7181, tc_HOL_Obool)), hAPP(c_Set_OPow(_u7181), _u7183))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7181), _u7183)) )).
% 20.36/20.61 cnf(matrix-4244, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7182), _u7184)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u7182, tc_HOL_Obool)), hAPP(c_Set_OPow(_u7182), _u7184))) )).
% 20.36/20.61 cnf(matrix-4245, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u7185, tc_HOL_Obool), tc_HOL_Obool)), _u7186), hAPP(c_Set_OPow(_u7185), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u7185, tc_HOL_Obool), _u7186)))) )).
% 20.36/20.61 cnf(matrix-4246, plain, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u7187, _u7188, _u7189), _u7190), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u7188) )).
% 20.36/20.61 cnf(matrix-4247, plain, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u7191, _u7192, _u7193), _u7194), hAPP(c_Nat_OSuc, _u7195)) = hAPP(hAPP(_u7193, _u7194), hAPP(hAPP(c_Power_Opower_Opower(_u7191, _u7192, _u7193), _u7194), _u7195))) )).
% 20.36/20.61 cnf(matrix-4248, plain, ( ( hAPP(c_Set_OPow(_u7196), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7196, tc_HOL_Obool)), _u7197), _u7198)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u7196, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u7196), _u7197)), hAPP(c_Set_OPow(_u7196), _u7198))) )).
% 20.36/20.61 cnf(matrix-4249, plain, ( ~class_Int_Onumber__ring(_u7199) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7199), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Int_Onumber__class_Onumber__of(_u7199), c_Int_OMin)) )).
% 20.36/20.61 cnf(matrix-4250, plain, ( ( hAPP(c_Set_OPow(_u7200), c_Orderings_Obot__class_Obot(tc_fun(_u7200, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u7200, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u7200, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u7200, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 20.36/20.61 cnf(matrix-4251, plain, ( ~class_Rings_Olinordered__idom(_u7201) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7201), hAPP(c_Int_Oring__1__class_Oof__int(_u7201), _u7202)), c_Groups_Ozero__class_Ozero(_u7201))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7202), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-4252, plain, ( ~class_Rings_Olinordered__idom(_u7201) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7202), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7201), hAPP(c_Int_Oring__1__class_Oof__int(_u7201), _u7202)), c_Groups_Ozero__class_Ozero(_u7201))) )).
% 20.36/20.61 cnf(matrix-4253, plain, ( ~class_Rings_Olinordered__idom(_u7203) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7203), c_Groups_Ozero__class_Ozero(_u7203)), hAPP(c_Int_Oring__1__class_Oof__int(_u7203), _u7204))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7204)) )).
% 20.36/20.61 cnf(matrix-4254, plain, ( ~class_Rings_Olinordered__idom(_u7203) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7204)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7203), c_Groups_Ozero__class_Ozero(_u7203)), hAPP(c_Int_Oring__1__class_Oof__int(_u7203), _u7204))) )).
% 20.36/20.61 cnf(matrix-4255, plain, ( ~class_Rings_Olinordered__idom(_u7205) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7205), c_Groups_Ozero__class_Ozero(_u7205)), hAPP(c_Int_Oring__1__class_Oof__int(_u7205), _u7206))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7206)) )).
% 20.36/20.61 cnf(matrix-4256, plain, ( ~class_Rings_Olinordered__idom(_u7205) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7206)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7205), c_Groups_Ozero__class_Ozero(_u7205)), hAPP(c_Int_Oring__1__class_Oof__int(_u7205), _u7206))) )).
% 20.36/20.61 cnf(matrix-4257, plain, ( ~class_Rings_Olinordered__idom(_u7207) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7207), hAPP(c_Int_Oring__1__class_Oof__int(_u7207), _u7208)), c_Groups_Ozero__class_Ozero(_u7207))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7208), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-4258, plain, ( ~class_Rings_Olinordered__idom(_u7207) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7208), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7207), hAPP(c_Int_Oring__1__class_Oof__int(_u7207), _u7208)), c_Groups_Ozero__class_Ozero(_u7207))) )).
% 20.36/20.61 cnf(matrix-4259, plain, ( ~class_Rings_Oring__1(_u7209) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7210)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7209), hAPP(c_Int_Onat, _u7210)) = hAPP(c_Int_Oring__1__class_Oof__int(_u7209), _u7210)) )).
% 20.36/20.61 cnf(matrix-4260, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u7211, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u7211, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u7211), _u7212)), hAPP(c_Set_OPow(_u7211), _u7213))), hAPP(c_Set_OPow(_u7211), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7211, tc_HOL_Obool)), _u7212), _u7213)))) )).
% 20.36/20.61 cnf(matrix-4261, plain, ( ( c_Nitpick_Onat__lcm(_u7214, _u7215) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7214), _u7215)), c_Nitpick_Onat__gcd(_u7214, _u7215))) )).
% 20.36/20.61 cnf(matrix-4262, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Code__Numeral_OSuc__code__numeral(_u7216)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(_u7216)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 20.36/20.61 cnf(matrix-4263, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7218), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7218 = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem149(_u7218))))) )).
% 20.36/20.61 cnf(matrix-4264, 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)) )).
% 20.36/20.61 cnf(matrix-4265, plain, ( ~class_Groups_Osgn__if(_u7219) | ( _u7220 != c_Groups_Ozero__class_Ozero(_u7219)) | ( c_Groups_Osgn__class_Osgn(_u7219, _u7220) = c_Groups_Ozero__class_Ozero(_u7219)) )).
% 20.36/20.61 cnf(matrix-4266, plain, ( ~class_Groups_Osgn__if(_u7219) | ( _u7220 = c_Groups_Ozero__class_Ozero(_u7219)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7219), c_Groups_Ozero__class_Ozero(_u7219)), _u7220)) | ( c_Groups_Osgn__class_Osgn(_u7219, _u7220) = c_Groups_Oone__class_Oone(_u7219)) )).
% 20.36/20.61 cnf(matrix-4267, plain, ( ~class_Groups_Osgn__if(_u7219) | ( _u7220 = c_Groups_Ozero__class_Ozero(_u7219)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7219), c_Groups_Ozero__class_Ozero(_u7219)), _u7220)) | ( c_Groups_Osgn__class_Osgn(_u7219, _u7220) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7219), c_Groups_Oone__class_Oone(_u7219))) )).
% 20.36/20.61 cnf(matrix-4268, plain, ( ( c_Code__Numeral_OSuc__code__numeral(_u7223) != c_Code__Numeral_OSuc__code__numeral(_u7225)) | ( _u7223 = _u7225) )).
% 20.36/20.61 cnf(matrix-4269, plain, ( ( _u7224 != _u7226) | ( c_Code__Numeral_OSuc__code__numeral(_u7224) = c_Code__Numeral_OSuc__code__numeral(_u7226)) )).
% 20.36/20.61 cnf(matrix-4270, plain, ( ~class_Rings_Olinordered__idom(_u7227) | ( c_Groups_Osgn__class_Osgn(_u7227, c_Groups_Osgn__class_Osgn(_u7227, _u7228)) = c_Groups_Osgn__class_Osgn(_u7227, _u7228)) )).
% 20.36/20.61 cnf(matrix-4271, plain, ( ~class_Rings_Olinordered__idom(_u7229) | ( c_Groups_Osgn__class_Osgn(_u7229, _u7230) != c_Groups_Ozero__class_Ozero(_u7229)) | ( _u7230 = c_Groups_Ozero__class_Ozero(_u7229)) )).
% 20.36/20.61 cnf(matrix-4272, plain, ( ~class_Rings_Olinordered__idom(_u7229) | ( _u7230 != c_Groups_Ozero__class_Ozero(_u7229)) | ( c_Groups_Osgn__class_Osgn(_u7229, _u7230) = c_Groups_Ozero__class_Ozero(_u7229)) )).
% 20.36/20.61 cnf(matrix-4273, plain, ( ~class_Groups_Osgn__if(_u7231) | ( c_Groups_Osgn__class_Osgn(_u7231, c_Groups_Ozero__class_Ozero(_u7231)) = c_Groups_Ozero__class_Ozero(_u7231)) )).
% 20.36/20.61 cnf(matrix-4274, plain, ( ~class_Rings_Olinordered__idom(_u7232) | ( c_Groups_Osgn__class_Osgn(_u7232, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7232), _u7233), _u7234)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7232), c_Groups_Osgn__class_Osgn(_u7232, _u7233)), c_Groups_Osgn__class_Osgn(_u7232, _u7234))) )).
% 20.36/20.61 cnf(matrix-4275, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(_u7235)) )).
% 20.36/20.61 cnf(matrix-4276, plain, ( ( c_Code__Numeral_OSuc__code__numeral(_u7236) != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 20.36/20.61 cnf(matrix-4277, plain, ( ~class_Rings_Olinordered__idom(_u7237) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7237), c_Groups_Osgn__class_Osgn(_u7237, _u7238)), c_Groups_Ozero__class_Ozero(_u7237))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7237), _u7238), c_Groups_Ozero__class_Ozero(_u7237))) )).
% 20.36/20.61 cnf(matrix-4278, plain, ( ~class_Rings_Olinordered__idom(_u7237) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7237), _u7238), c_Groups_Ozero__class_Ozero(_u7237))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7237), c_Groups_Osgn__class_Osgn(_u7237, _u7238)), c_Groups_Ozero__class_Ozero(_u7237))) )).
% 20.36/20.61 cnf(matrix-4279, plain, ( ~class_Rings_Olinordered__idom(_u7239) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7239), c_Groups_Ozero__class_Ozero(_u7239)), c_Groups_Osgn__class_Osgn(_u7239, _u7240))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7239), c_Groups_Ozero__class_Ozero(_u7239)), _u7240)) )).
% 20.36/20.61 cnf(matrix-4280, plain, ( ~class_Rings_Olinordered__idom(_u7239) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7239), c_Groups_Ozero__class_Ozero(_u7239)), _u7240)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7239), c_Groups_Ozero__class_Ozero(_u7239)), c_Groups_Osgn__class_Osgn(_u7239, _u7240))) )).
% 20.36/20.61 cnf(matrix-4281, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), c_Code__Numeral_OSuc__code__numeral(_u7241)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), _u7241)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 20.36/20.61 cnf(matrix-4282, plain, ( ~class_Rings_Olinordered__idom(_u7242) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7242), c_Groups_Osgn__class_Osgn(_u7242, _u7243)), hAPP(c_Groups_Oabs__class_Oabs(_u7242), _u7243)) = _u7243) )).
% 20.36/20.61 cnf(matrix-4283, plain, ( ~class_Rings_Olinordered__idom(_u7244) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7244), _u7245) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7244), _u7245), c_Groups_Osgn__class_Osgn(_u7244, _u7245))) )).
% 20.36/20.61 cnf(matrix-4284, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), c_Code__Numeral_OSuc__code__numeral(_u7246)), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = _u7246) )).
% 20.36/20.61 cnf(matrix-4285, plain, ( ~class_Rings_Olinordered__idom(_u7247) | ( c_Groups_Osgn__class_Osgn(_u7247, _u7248) != c_Groups_Oone__class_Oone(_u7247)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7247), c_Groups_Ozero__class_Ozero(_u7247)), _u7248)) )).
% 20.36/20.61 cnf(matrix-4286, plain, ( ~class_Rings_Olinordered__idom(_u7247) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7247), c_Groups_Ozero__class_Ozero(_u7247)), _u7248)) | ( c_Groups_Osgn__class_Osgn(_u7247, _u7248) = c_Groups_Oone__class_Oone(_u7247)) )).
% 20.36/20.61 cnf(matrix-4287, plain, ( ~class_Rings_Olinordered__idom(_u7249) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7249), c_Groups_Ozero__class_Ozero(_u7249)), _u7250)) | ( c_Groups_Osgn__class_Osgn(_u7249, _u7250) = c_Groups_Oone__class_Oone(_u7249)) )).
% 20.36/20.61 cnf(matrix-4288, plain, ( ( _u7253 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u7255, _u7253) = _u7255) )).
% 20.36/20.61 cnf(matrix-4289, plain, ( ( _u7254 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u7256, _u7254) = c_Nitpick_Onat__gcd(_u7254, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7256, _u7254))) )).
% 20.36/20.61 cnf(matrix-4290, plain, ( ( _u7258 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u7258) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.61 cnf(matrix-4291, plain, ( ( _u7259 = 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)), _u7259)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u7259) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 20.36/20.61 cnf(matrix-4292, plain, ( ( _u7259 = 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)), _u7259)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u7259) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-4293, plain, ( ~class_Rings_Olinordered__idom(_u7260) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7260), _u7261), c_Groups_Ozero__class_Ozero(_u7260))) | ( c_Groups_Osgn__class_Osgn(_u7260, _u7261) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7260), c_Groups_Oone__class_Oone(_u7260))) )).
% 20.36/20.61 cnf(matrix-4294, plain, ( ~class_Rings_Olinordered__idom(_u7262) | ( c_Groups_Osgn__class_Osgn(_u7262, _u7263) != hAPP(c_Groups_Ouminus__class_Ouminus(_u7262), c_Groups_Oone__class_Oone(_u7262))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7262), _u7263), c_Groups_Ozero__class_Ozero(_u7262))) )).
% 20.36/20.61 cnf(matrix-4295, plain, ( ~class_Rings_Olinordered__idom(_u7262) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7262), _u7263), c_Groups_Ozero__class_Ozero(_u7262))) | ( c_Groups_Osgn__class_Osgn(_u7262, _u7263) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7262), c_Groups_Oone__class_Oone(_u7262))) )).
% 20.36/20.61 cnf(matrix-4296, plain, ( ( hAPP(hAPP(c_Nitpick_Oint__gcd, _u7264), _u7265) = 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), _u7264)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7265))))) )).
% 20.36/20.61 cnf(matrix-4297, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u7266, _u7267, _u7268, c_Code__Numeral_OSuc__code__numeral(_u7269)) = hAPP(_u7268, _u7269)) )).
% 20.36/20.61 cnf(matrix-4298, plain, ( ~class_Lattices_Oboolean__algebra(_u7270) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u7270), _u7271), _u7272) != c_Orderings_Obot__class_Obot(_u7270)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7270), _u7271), _u7272) != c_Orderings_Otop__class_Otop(_u7270)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7270), _u7271) = _u7272) )).
% 20.36/20.61 cnf(matrix-4299, 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)))) )).
% 20.36/20.61 cnf(matrix-4300, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u7273, _u7274, _u7275, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u7274) )).
% 20.36/20.61 cnf(matrix-4301, plain, ( hBOOL(hAPP(hAPP(c_member(_u7276), _u7277), c_Orderings_Otop__class_Otop(tc_fun(_u7276, tc_HOL_Obool)))) )).
% 20.36/20.61 cnf(matrix-4302, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u7279), c_Orderings_Otop__class_Otop(tc_fun(_u7279, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u7278, _u7279)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u7278, _u7279), tc_HOL_Obool)))) )).
% 20.36/20.61 cnf(matrix-4303, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u7280, tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(_u7280, tc_HOL_Obool))) )).
% 20.36/20.61 cnf(matrix-4304, plain, ( ~class_Finite__Set_Ofinite(_u7281) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7281), c_Orderings_Otop__class_Otop(tc_fun(_u7281, tc_HOL_Obool)))) )).
% 20.36/20.61 cnf(matrix-4305, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7282, tc_HOL_Obool)), _u7283), c_Orderings_Otop__class_Otop(tc_fun(_u7282, tc_HOL_Obool)))) )).
% 20.36/20.61 cnf(matrix-4306, plain, ( ( c_Sum__Type_OPlus(_u7284, _u7285, c_Orderings_Otop__class_Otop(tc_fun(_u7284, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u7285, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u7284, _u7285), tc_HOL_Obool))) )).
% 20.36/20.61 cnf(matrix-4307, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u7287)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u7287), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7287), c_Orderings_Otop__class_Otop(tc_fun(_u7287, tc_HOL_Obool)))) )).
% 20.36/20.61 cnf(matrix-4308, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7288), c_Orderings_Otop__class_Otop(tc_fun(_u7288, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u7288)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u7288), tc_HOL_Obool)))) )).
% 20.36/20.61 cnf(matrix-4309, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7289), c_Orderings_Otop__class_Otop(tc_fun(_u7289, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7290), c_Orderings_Otop__class_Otop(tc_fun(_u7290, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u7289, _u7290)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u7289, _u7290), tc_HOL_Obool)))) )).
% 20.36/20.61 cnf(matrix-4310, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u7291, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u7291, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u7291, tc_HOL_Obool))) )).
% 20.36/20.61 cnf(matrix-4311, plain, ( ~class_Orderings_Otop(_u7292) | ( hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u7293, _u7292)), _u7294) = c_Orderings_Otop__class_Otop(_u7292)) )).
% 20.36/20.61 cnf(matrix-4312, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7295) | ( c_Complete__Lattice_OSup__class_OSup(_u7295, c_Orderings_Otop__class_Otop(tc_fun(_u7295, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u7295)) )).
% 20.36/20.61 cnf(matrix-4313, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7296, tc_HOL_Obool)), _u7297), c_Orderings_Otop__class_Otop(tc_fun(_u7296, tc_HOL_Obool))) = _u7297) )).
% 20.36/20.61 cnf(matrix-4314, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7298, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u7298, tc_HOL_Obool))), _u7299) = _u7299) )).
% 20.36/20.61 cnf(matrix-4315, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7300, tc_HOL_Obool)), _u7301), c_Orderings_Otop__class_Otop(tc_fun(_u7300, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u7300, tc_HOL_Obool))) )).
% 20.36/20.61 cnf(matrix-4316, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7302, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u7302, tc_HOL_Obool))), _u7303) = c_Orderings_Otop__class_Otop(tc_fun(_u7302, tc_HOL_Obool))) )).
% 20.36/20.61 cnf(matrix-4317, plain, ( ( hAPP(c_Set_OPow(_u7304), c_Orderings_Otop__class_Otop(tc_fun(_u7304, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u7304, tc_HOL_Obool), tc_HOL_Obool))) )).
% 20.36/20.61 cnf(matrix-4318, 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)) )).
% 20.36/20.61 cnf(matrix-4319, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u7307, _u7309)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u7307, _u7309), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7307), c_Orderings_Otop__class_Otop(tc_fun(_u7307, tc_HOL_Obool)))) )).
% 20.36/20.61 cnf(matrix-4320, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u7307, _u7309)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u7307, _u7309), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7309), c_Orderings_Otop__class_Otop(tc_fun(_u7309, tc_HOL_Obool)))) )).
% 20.36/20.61 cnf(matrix-4321, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7308), c_Orderings_Otop__class_Otop(tc_fun(_u7308, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7310), c_Orderings_Otop__class_Otop(tc_fun(_u7310, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u7308, _u7310)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u7308, _u7310), tc_HOL_Obool)))) )).
% 20.36/20.61 cnf(matrix-4322, plain, ( ( hAPP(c_Set_Ovimage(_u7311, _u7312, _u7313), c_Orderings_Otop__class_Otop(tc_fun(_u7312, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u7311, tc_HOL_Obool))) )).
% 20.36/20.61 cnf(matrix-4323, plain, ( c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.61 cnf(matrix-4324, plain, ( ~c_Nat__Transfer_Ois__nat(_u7314) | ~c_Nat__Transfer_Ois__nat(_u7315) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7314), _u7315)) )).
% 20.36/20.61 cnf(matrix-4325, plain, ( c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7316)) )).
% 20.36/20.61 cnf(matrix-4326, plain, ( c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 20.36/20.61 cnf(matrix-4327, plain, ( ~c_Nat__Transfer_Ois__nat(_u7317) | ~c_Nat__Transfer_Ois__nat(_u7318) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7317), _u7318)) )).
% 20.36/20.61 cnf(matrix-4328, plain, ( ~c_Nat__Transfer_Ois__nat(_u7319) | ~c_Nat__Transfer_Ois__nat(_u7320) | c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7319, _u7320)) )).
% 20.36/20.61 cnf(matrix-4329, plain, ( ~c_Nat__Transfer_Ois__nat(_u7321) | ~c_Nat__Transfer_Ois__nat(_u7322) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7321), _u7322)) )).
% 20.36/20.61 cnf(matrix-4330, plain, ( ~class_Orderings_Otop(_u7323) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7323), _u7324), c_Orderings_Otop__class_Otop(_u7323))) )).
% 20.36/20.61 cnf(matrix-4331, plain, ( ~class_Lattices_Obounded__lattice__top(_u7325) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7325), _u7326), c_Orderings_Otop__class_Otop(_u7325)) = c_Orderings_Otop__class_Otop(_u7325)) )).
% 20.36/20.61 cnf(matrix-4332, plain, ( ~class_Lattices_Obounded__lattice__top(_u7327) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7327), c_Orderings_Otop__class_Otop(_u7327)), _u7328) = c_Orderings_Otop__class_Otop(_u7327)) )).
% 20.36/20.61 cnf(matrix-4333, plain, ( ~class_Lattices_Obounded__lattice__top(_u7329) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u7329), c_Orderings_Otop__class_Otop(_u7329)), _u7330) = _u7330) )).
% 20.36/20.61 cnf(matrix-4334, plain, ( ~class_Lattices_Obounded__lattice__top(_u7331) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u7331), _u7332), c_Orderings_Otop__class_Otop(_u7331)) = _u7332) )).
% 20.36/20.61 cnf(matrix-4335, plain, ( ~class_Lattices_Obounded__lattice__top(_u7333) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u7333), _u7334), _u7335) != c_Orderings_Otop__class_Otop(_u7333)) | ( _u7334 = c_Orderings_Otop__class_Otop(_u7333)) )).
% 20.36/20.61 cnf(matrix-4336, plain, ( ~class_Lattices_Obounded__lattice__top(_u7333) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u7333), _u7334), _u7335) != c_Orderings_Otop__class_Otop(_u7333)) | ( _u7335 = c_Orderings_Otop__class_Otop(_u7333)) )).
% 20.36/20.61 cnf(matrix-4337, plain, ( ~class_Lattices_Obounded__lattice__top(_u7333) | ( _u7334 != c_Orderings_Otop__class_Otop(_u7333)) | ( _u7335 != c_Orderings_Otop__class_Otop(_u7333)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u7333), _u7334), _u7335) = c_Orderings_Otop__class_Otop(_u7333)) )).
% 20.36/20.61 cnf(matrix-4338, plain, ( ~c_Nat__Transfer_Ois__nat(_u7336) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u7336), _u7337)) )).
% 20.36/20.61 cnf(matrix-4339, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7338, tc_HOL_Obool)), _u7339), c_Orderings_Otop__class_Otop(tc_fun(_u7338, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u7338, tc_HOL_Obool))) )).
% 20.36/20.61 cnf(matrix-4340, plain, ( ~c_Nat__Transfer_Ois__nat(_u7340) | ~c_Nat__Transfer_Ois__nat(_u7341) | c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(_u7340, _u7341)) )).
% 20.36/20.61 cnf(matrix-4341, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7342), c_Orderings_Otop__class_Otop(tc_fun(_u7342, tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u7342), _u7343) != hAPP(c_Finite__Set_Ocard(_u7342), c_Orderings_Otop__class_Otop(tc_fun(_u7342, tc_HOL_Obool)))) | ( _u7343 = c_Orderings_Otop__class_Otop(tc_fun(_u7342, tc_HOL_Obool))) )).
% 20.36/20.61 cnf(matrix-4342, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7344, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u7344, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u7344, tc_HOL_Obool))) )).
% 20.36/20.61 cnf(matrix-4343, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7345, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u7345, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u7345, tc_HOL_Obool))) )).
% 20.36/20.61 cnf(matrix-4344, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7346), _u7347)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7346), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7346, tc_HOL_Obool)), _u7347))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7346), c_Orderings_Otop__class_Otop(tc_fun(_u7346, tc_HOL_Obool)))) )).
% 20.36/20.61 cnf(matrix-4345, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7346), _u7347)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7346), c_Orderings_Otop__class_Otop(tc_fun(_u7346, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7346), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7346, tc_HOL_Obool)), _u7347))) )).
% 20.36/20.61 cnf(matrix-4346, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7348, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7348, tc_HOL_Obool)), _u7349)), _u7349) = c_Orderings_Otop__class_Otop(tc_fun(_u7348, tc_HOL_Obool))) )).
% 20.36/20.61 cnf(matrix-4347, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7350, tc_HOL_Obool)), _u7351), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7350, tc_HOL_Obool)), _u7351)) = c_Orderings_Otop__class_Otop(tc_fun(_u7350, tc_HOL_Obool))) )).
% 20.36/20.61 cnf(matrix-4348, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7352, tc_HOL_Obool)), _u7353) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7352, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u7352, tc_HOL_Obool))), _u7353)) )).
% 20.36/20.61 cnf(matrix-4349, plain, ( ~c_Nat__Transfer_Ois__nat(_u7355) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7355)) )).
% 20.36/20.61 cnf(matrix-4350, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7356)) | c_Nat__Transfer_Ois__nat(_u7356) )).
% 20.36/20.61 cnf(matrix-4351, plain, ( ~class_Lattices_Oboolean__algebra(_u7357) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7357), c_Orderings_Obot__class_Obot(_u7357)) = c_Orderings_Otop__class_Otop(_u7357)) )).
% 20.36/20.61 cnf(matrix-4352, plain, ( ~class_Lattices_Oboolean__algebra(_u7358) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7358), c_Orderings_Otop__class_Otop(_u7358)) = c_Orderings_Obot__class_Obot(_u7358)) )).
% 20.36/20.61 cnf(matrix-4353, plain, ( ~class_Lattices_Oboolean__algebra(_u7359) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7359), _u7360), hAPP(c_Groups_Ouminus__class_Ouminus(_u7359), _u7360)) = c_Orderings_Otop__class_Otop(_u7359)) )).
% 20.36/20.61 cnf(matrix-4354, plain, ( ~class_Lattices_Oboolean__algebra(_u7361) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7361), hAPP(c_Groups_Ouminus__class_Ouminus(_u7361), _u7362)), _u7362) = c_Orderings_Otop__class_Otop(_u7361)) )).
% 20.36/20.61 cnf(matrix-4355, 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)))) )).
% 20.36/20.61 cnf(matrix-4356, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7363), c_Orderings_Otop__class_Otop(tc_fun(_u7363, 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(_u7363), c_Orderings_Otop__class_Otop(tc_fun(_u7363, tc_HOL_Obool))))) )).
% 20.36/20.61 cnf(matrix-4357, 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)))) )).
% 20.36/20.61 cnf(matrix-4358, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u7364, _u7365)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u7364, _u7365), tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u7365), c_Orderings_Otop__class_Otop(tc_fun(_u7365, tc_HOL_Obool))) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7364), c_Orderings_Otop__class_Otop(tc_fun(_u7364, tc_HOL_Obool)))) )).
% 20.36/20.61 cnf(matrix-4359, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7366) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7366), _u7367)) | ( c_Complete__Lattice_OInf__class_OInf(_u7366, _u7367) = hAPP(hAPP(c_Finite__Set_Ofold(_u7366, _u7366, c_Lattices_Osemilattice__inf__class_Oinf(_u7366)), c_Orderings_Otop__class_Otop(_u7366)), _u7367)) )).
% 20.36/20.61 cnf(matrix-4360, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7369, _u7370) != c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7371, _u7370)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7371), _u7369)) | ( _u7369 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7371), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7370), skolem150(_u7371, _u7370, _u7369)))) )).
% 20.36/20.61 cnf(matrix-4361, plain, ( ~hBOOL(hAPP(_u7374, _u7375)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7375), _u7373)) | hBOOL(hAPP(_u7374, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem151(_u7375, _u7374, _u7373)), _u7373)) )).
% 20.36/20.61 cnf(matrix-4362, plain, ( ~hBOOL(hAPP(_u7374, _u7375)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7375), _u7373)) | hBOOL(hAPP(_u7374, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u7374, skolem151(_u7375, _u7374, _u7373))) )).
% 20.36/20.61 cnf(matrix-4363, plain, ( ~hBOOL(hAPP(_u7374, _u7375)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7375), _u7373)) | hBOOL(hAPP(_u7374, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u7374, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, skolem151(_u7375, _u7374, _u7373)), _u7373))) )).
% 20.36/20.61 cnf(matrix-4364, plain, ( ( c_Random_Olog(_u7378, _u7380) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u7378), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 20.36/20.61 cnf(matrix-4365, plain, ( ( c_Random_Olog(_u7378, _u7380) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u7380), _u7378)) )).
% 20.36/20.61 cnf(matrix-4366, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u7379), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u7381), _u7379)) | ( c_Random_Olog(_u7379, _u7381) = 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(_u7379, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u7381), _u7379)))) )).
% 20.36/20.61 cnf(matrix-4367, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u7383, tc_HOL_Obool)), _u7382), _u7384)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7383), _u7382)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7383), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7383, tc_HOL_Obool), _u7384))) )).
% 20.36/20.61 cnf(matrix-4368, plain, ( hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u7385, tc_HOL_Obool)), _u7386)) )).
% 20.36/20.61 cnf(matrix-4369, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7387), _u7388), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7387, tc_HOL_Obool), _u7389))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u7387, tc_HOL_Obool)), _u7390), _u7389)) | hBOOL(hAPP(hAPP(c_member(_u7387), _u7388), _u7390)) )).
% 20.36/20.61 cnf(matrix-4370, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7391), _u7392), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7391, tc_HOL_Obool), _u7393))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u7391, tc_HOL_Obool)), _u7394), _u7393)) | hBOOL(hAPP(hAPP(c_member(_u7391), _u7392), _u7394)) )).
% 20.36/20.61 cnf(matrix-4371, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7395, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u7395, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u7395, tc_HOL_Obool))) )).
% 20.36/20.61 cnf(matrix-4372, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7396, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u7396, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u7396, tc_HOL_Obool))) )).
% 20.36/20.61 cnf(matrix-4373, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7399) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7399), _u7400), c_Complete__Lattice_OInf__class_OInf(_u7399, _u7401))) | ~hBOOL(hAPP(hAPP(c_member(_u7399), _u7397), _u7401)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7399), _u7400), _u7397)) )).
% 20.36/20.61 cnf(matrix-4374, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7399) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7399), _u7400), c_Complete__Lattice_OInf__class_OInf(_u7399, _u7401))) | hBOOL(hAPP(hAPP(c_member(_u7399), skolem152(_u7401, _u7400, _u7399)), _u7401)) )).
% 20.36/20.61 cnf(matrix-4375, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7399) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7399), _u7400), c_Complete__Lattice_OInf__class_OInf(_u7399, _u7401))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7399), _u7400), skolem152(_u7401, _u7400, _u7399))) )).
% 20.36/20.61 cnf(matrix-4376, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7404) | ~class_Orderings_Olinorder(_u7404) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7404), c_Complete__Lattice_OInf__class_OInf(_u7404, _u7405)), _u7406)) | hBOOL(hAPP(hAPP(c_member(_u7404), skolem153(_u7406, _u7405, _u7404)), _u7405)) )).
% 20.36/20.61 cnf(matrix-4377, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7404) | ~class_Orderings_Olinorder(_u7404) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7404), c_Complete__Lattice_OInf__class_OInf(_u7404, _u7405)), _u7406)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7404), skolem153(_u7406, _u7405, _u7404)), _u7406)) )).
% 20.36/20.61 cnf(matrix-4378, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7404) | ~class_Orderings_Olinorder(_u7404) | ~hBOOL(hAPP(hAPP(c_member(_u7404), _u7403), _u7405)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7404), _u7403), _u7406)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7404), c_Complete__Lattice_OInf__class_OInf(_u7404, _u7405)), _u7406)) )).
% 20.36/20.61 cnf(matrix-4379, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7407) | ( c_Complete__Lattice_OInf__class_OInf(_u7407, c_Orderings_Otop__class_Otop(tc_fun(_u7407, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u7407)) )).
% 20.36/20.61 cnf(matrix-4380, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u7408, tc_HOL_Obool)), _u7409), _u7410)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7408, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7408, tc_HOL_Obool), _u7410)), _u7409)) )).
% 20.36/20.61 cnf(matrix-4381, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u7411, tc_HOL_Obool), tc_HOL_Obool)), _u7412), _u7413)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7411, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7411, tc_HOL_Obool), _u7413)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7411, tc_HOL_Obool), _u7412))) )).
% 20.36/20.61 cnf(matrix-4382, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7414, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u7414, tc_HOL_Obool)), _u7415), _u7416)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7414, tc_HOL_Obool)), _u7415), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7414, tc_HOL_Obool), _u7416))) )).
% 20.36/20.61 cnf(matrix-4383, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7417) | ~hBOOL(hAPP(hAPP(c_member(_u7417), _u7418), _u7419)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7417), c_Complete__Lattice_OInf__class_OInf(_u7417, _u7419)), _u7418)) )).
% 20.36/20.61 cnf(matrix-4384, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7420, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u7420, tc_HOL_Obool), tc_HOL_Obool)), _u7421), _u7422)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7420, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7420, tc_HOL_Obool), _u7421)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7420, tc_HOL_Obool), _u7422))) )).
% 20.36/20.61 cnf(matrix-4385, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7423) | ( c_Complete__Lattice_OInf__class_OInf(_u7423, hAPP(hAPP(c_Set_Oinsert(_u7423), _u7424), c_Orderings_Obot__class_Obot(tc_fun(_u7423, tc_HOL_Obool)))) = _u7424) )).
% 20.36/20.61 cnf(matrix-4386, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7425) | ( c_Complete__Lattice_OInf__class_OInf(_u7425, c_Orderings_Obot__class_Obot(tc_fun(_u7425, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u7425)) )).
% 20.36/20.61 cnf(matrix-4387, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7426) | ( c_Complete__Lattice_OInf__class_OInf(_u7426, hAPP(hAPP(c_Set_Oinsert(_u7426), _u7427), _u7428)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u7426), _u7427), c_Complete__Lattice_OInf__class_OInf(_u7426, _u7428))) )).
% 20.36/20.61 cnf(matrix-4388, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7429, tc_HOL_Obool)), _u7430), _u7431) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7429, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u7429, tc_HOL_Obool)), _u7430), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u7429, tc_HOL_Obool)), _u7431), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u7429, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 20.36/20.61 cnf(matrix-4389, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7432, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7432, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7432, tc_HOL_Obool), _u7433)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7432, tc_HOL_Obool), _u7434))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7432, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u7432, tc_HOL_Obool), tc_HOL_Obool)), _u7433), _u7434)))) )).
% 20.36/20.61 cnf(matrix-4390, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7435) | ( c_Complete__Lattice_OInf__class_OInf(_u7435, hAPP(hAPP(c_Set_Oinsert(_u7435), _u7436), hAPP(hAPP(c_Set_Oinsert(_u7435), _u7437), c_Orderings_Obot__class_Obot(tc_fun(_u7435, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u7435), _u7436), _u7437)) )).
% 20.36/20.61 cnf(matrix-4391, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7438) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7438), _u7439)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u7438), _u7440), c_Complete__Lattice_OInf__class_OInf(_u7438, _u7439)) = hAPP(hAPP(c_Finite__Set_Ofold(_u7438, _u7438, c_Lattices_Osemilattice__inf__class_Oinf(_u7438)), _u7440), _u7439)) )).
% 20.36/20.61 cnf(matrix-4392, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7441) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7441), _u7442)) | ( _u7442 = c_Orderings_Obot__class_Obot(tc_fun(_u7441, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u7441, _u7442) = c_Complete__Lattice_OInf__class_OInf(_u7441, _u7442)) )).
% 20.36/20.61 cnf(matrix-4393, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u7446), _u7448)) | ( c_Random_Ominus__shift(_u7450, _u7446, _u7448) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u7450), _u7446)), _u7448)) )).
% 20.36/20.61 cnf(matrix-4394, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u7447), _u7449)) | ( c_Random_Ominus__shift(_u7451, _u7447, _u7449) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u7447), _u7449)) )).
% 20.36/20.61 cnf(matrix-4395, plain, ( ( _u7454 != _u7456) | ( c_Random_Oinc__shift(_u7454, _u7456) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) )).
% 20.36/20.61 cnf(matrix-4396, plain, ( ( _u7455 = _u7457) | ( c_Random_Oinc__shift(_u7455, _u7457) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u7457), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 20.36/20.61 cnf(matrix-4397, plain, ( hBOOL(hAPP(hAPP(c_member(_u7458), _u7459), c_Orderings_Otop__class_Otop(tc_fun(_u7458, tc_HOL_Obool)))) )).
% 20.36/20.61 cnf(matrix-4398, plain, ( ~class_Divides_Osemiring__div(_u7460) | ( _u7461 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7460), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7460), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7460), _u7461), _u7462)), _u7462)), c_Divides_Odiv__class_Omod(_u7460, _u7461, _u7462))) )).
% 20.36/20.61 cnf(matrix-4399, plain, ( ( _u7465 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u7464, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7464, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7464, tc_HOL_Obool), _u7465)), _u7466)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u7464, tc_HOL_Obool)), skolem154(_u7466, _u7465, _u7464)), _u7465)) )).
% 20.36/20.61 cnf(matrix-4400, plain, ( ( _u7465 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u7464, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7464, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7464, tc_HOL_Obool), _u7465)), _u7466)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7464, tc_HOL_Obool)), skolem154(_u7466, _u7465, _u7464)), _u7466)) )).
% 20.36/20.61 cnf(matrix-4401, plain, ( hBOOL(hAPP(hAPP(c_member(_u7468), _u7470), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7468, tc_HOL_Obool), _u7469))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u7468, tc_HOL_Obool)), skolem155(_u7470, _u7469, _u7468)), _u7469)) )).
% 20.36/20.61 cnf(matrix-4402, plain, ( hBOOL(hAPP(hAPP(c_member(_u7468), _u7470), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7468, tc_HOL_Obool), _u7469))) | ~hBOOL(hAPP(hAPP(c_member(_u7468), _u7470), skolem155(_u7470, _u7469, _u7468))) )).
% 20.36/20.61 cnf(matrix-4403, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OWhile(_u7471, _u7472)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u7472)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 20.36/20.61 cnf(matrix-4404, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OWhile(_u7473, _u7474)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Com_Ocom_Ocom__size(_u7474)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 20.36/20.61 cnf(matrix-4405, plain, ( ( c_Com_Ocom_OWhile(_u7479, _u7481) != c_Com_Ocom_OWhile(_u7483, _u7485)) | ( _u7479 = _u7483) )).
% 20.36/20.61 cnf(matrix-4406, plain, ( ( c_Com_Ocom_OWhile(_u7479, _u7481) != c_Com_Ocom_OWhile(_u7483, _u7485)) | ( _u7481 = _u7485) )).
% 20.36/20.61 cnf(matrix-4407, plain, ( ( _u7480 != _u7484) | ( _u7482 != _u7486) | ( c_Com_Ocom_OWhile(_u7480, _u7482) = c_Com_Ocom_OWhile(_u7484, _u7486)) )).
% 20.36/20.61 cnf(matrix-4408, plain, ( ( c_Com_Ocom_OCond(_u7487, _u7488, _u7489) != c_Com_Ocom_OWhile(_u7490, _u7491)) )).
% 20.36/20.61 cnf(matrix-4409, plain, ( ( c_Com_Ocom_OWhile(_u7492, _u7493) != c_Com_Ocom_OCond(_u7494, _u7495, _u7496)) )).
% 20.36/20.61 cnf(matrix-4410, plain, ( ( c_Com_Ocom_OSemi(_u7497, _u7498) != c_Com_Ocom_OWhile(_u7499, _u7500)) )).
% 20.36/20.61 cnf(matrix-4411, plain, ( ( c_Com_Ocom_OWhile(_u7501, _u7502) != c_Com_Ocom_OSemi(_u7503, _u7504)) )).
% 20.36/20.61 cnf(matrix-4412, plain, ( ( c_Com_Ocom_OLocal(_u7505, _u7506, _u7507) != c_Com_Ocom_OWhile(_u7508, _u7509)) )).
% 20.36/20.61 cnf(matrix-4413, plain, ( ( c_Com_Ocom_OWhile(_u7510, _u7511) != c_Com_Ocom_OLocal(_u7512, _u7513, _u7514)) )).
% 20.36/20.61 cnf(matrix-4414, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(_u7515, _u7516)) )).
% 20.36/20.61 cnf(matrix-4415, plain, ( ( c_Com_Ocom_OWhile(_u7517, _u7518) != c_Com_Ocom_OSKIP) )).
% 20.36/20.61 cnf(matrix-4416, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u7519), _u7520) = hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, _u7519), _u7520)) )).
% 20.36/20.61 cnf(matrix-4417, plain, ( ( c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral)) )).
% 20.36/20.61 cnf(matrix-4418, plain, ( ( c_Nitpick_Opair__box_Opair__box__size(_u7521, _u7522, _u7523, _u7524, c_Nitpick_Opair__box_OPairBox(_u7521, _u7522, _u7525, _u7526)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u7523, _u7525)), hAPP(_u7524, _u7526))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 20.36/20.61 cnf(matrix-4419, 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), _u7527))) | ~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), _u7527)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7527)) = 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), _u7527)))) )).
% 20.36/20.61 cnf(matrix-4420, 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), _u7527))) | 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), _u7527)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7527)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7527)), 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), _u7527))))) )).
% 20.36/20.61 cnf(matrix-4421, plain, ( ( c_Nitpick_Opair__box_OPairBox(_u7534, _u7536, _u7538, _u7540) != c_Nitpick_Opair__box_OPairBox(_u7534, _u7536, _u7542, _u7544)) | ( _u7538 = _u7542) )).
% 20.36/20.61 cnf(matrix-4422, plain, ( ( c_Nitpick_Opair__box_OPairBox(_u7534, _u7536, _u7538, _u7540) != c_Nitpick_Opair__box_OPairBox(_u7534, _u7536, _u7542, _u7544)) | ( _u7540 = _u7544) )).
% 20.36/20.61 cnf(matrix-4423, plain, ( ( _u7539 != _u7543) | ( _u7541 != _u7545) | ( c_Nitpick_Opair__box_OPairBox(_u7535, _u7537, _u7539, _u7541) = c_Nitpick_Opair__box_OPairBox(_u7535, _u7537, _u7543, _u7545)) )).
% 20.36/20.61 cnf(matrix-4424, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7546), 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)), _u7547)) | ( c_Divides_OnegDivAlg(_u7546, _u7547) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7546), _u7547)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7546, _u7547))) )).
% 20.36/20.61 cnf(matrix-4425, plain, ( ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u7548) = 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), _u7548), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 20.36/20.61 cnf(matrix-4426, plain, ( ( c_Divides_OnegDivAlg(_u7551, _u7553) = 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), _u7551), _u7553))) | ~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), _u7551), _u7553))) )).
% 20.36/20.61 cnf(matrix-4427, plain, ( ( c_Divides_OnegDivAlg(_u7551, _u7553) = 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), _u7551), _u7553))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7553), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-4428, 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), _u7552), _u7554))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7554), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u7552, _u7554) = hAPP(c_Divides_Oadjust(_u7554), c_Divides_OnegDivAlg(_u7552, 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)))), _u7554)))) )).
% 20.36/20.61 cnf(matrix-4429, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7555)) | ~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), _u7556), _u7555))) | ( c_Divides_OnegDivAlg(_u7556, _u7555) = 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), _u7556), _u7555))) )).
% 20.36/20.61 cnf(matrix-4430, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7555)) | 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), _u7556), _u7555))) | ( c_Divides_OnegDivAlg(_u7556, _u7555) = hAPP(c_Divides_Oadjust(_u7555), c_Divides_OnegDivAlg(_u7556, 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)))), _u7555)))) )).
% 20.36/20.61 cnf(matrix-4431, 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), _u7557))) | ~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), _u7558)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7557)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7558), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7557)) = 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), _u7558)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7557)))) )).
% 20.36/20.61 cnf(matrix-4432, 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), _u7557))) | 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), _u7558)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7557)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7558), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7557)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7557)), c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7558), 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), _u7557))))) )).
% 20.36/20.61 cnf(matrix-4433, 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), _u7559))) | ~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), _u7559))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7559)) = 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))) )).
% 20.36/20.61 cnf(matrix-4434, 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), _u7559))) | 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), _u7559))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7559)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7559)), 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), _u7559))))) )).
% 20.36/20.61 cnf(matrix-4435, plain, ( ( c_Divides_OposDivAlg(_u7562, _u7564) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7562)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7562), _u7564)) )).
% 20.36/20.61 cnf(matrix-4436, plain, ( ( c_Divides_OposDivAlg(_u7562, _u7564) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7562)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7564), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-4437, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7563), _u7565)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7565), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u7563, _u7565) = hAPP(c_Divides_Oadjust(_u7565), c_Divides_OposDivAlg(_u7563, 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)))), _u7565)))) )).
% 20.36/20.61 cnf(matrix-4438, plain, ( ~hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u7571, _u7573, _u7575), _u7577), _u7579)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7571, _u7573)), hAPP(hAPP(c_Product__Type_OPair(_u7571, _u7573), _u7577), _u7579)), _u7575)) )).
% 20.36/20.61 cnf(matrix-4439, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7572, _u7574)), hAPP(hAPP(c_Product__Type_OPair(_u7572, _u7574), _u7578), _u7580)), _u7576)) | hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u7572, _u7574, _u7576), _u7578), _u7580)) )).
% 20.36/20.61 cnf(matrix-4440, 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), _u7581))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7582)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7581))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7582), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7581)) = 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), _u7582))) )).
% 20.36/20.61 cnf(matrix-4441, 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), _u7581))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7582)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7581))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7582), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7581)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7581)), c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7582), 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), _u7581))))) )).
% 20.36/20.61 cnf(matrix-4442, plain, ( ( c_Divides_OposDivAlg(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u7583) = 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))) )).
% 20.36/20.61 cnf(matrix-4443, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7584)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7585)) | ( c_Divides_OposDivAlg(_u7584, _u7585) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7584), _u7585)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7584, _u7585))) )).
% 20.36/20.61 cnf(matrix-4444, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7586)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7587), _u7586)) | ( c_Divides_OposDivAlg(_u7587, _u7586) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7587)) )).
% 20.36/20.61 cnf(matrix-4445, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7586)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7587), _u7586)) | ( c_Divides_OposDivAlg(_u7587, _u7586) = hAPP(c_Divides_Oadjust(_u7586), c_Divides_OposDivAlg(_u7587, 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)))), _u7586)))) )).
% 20.36/20.61 cnf(matrix-4446, plain, ( ( c_Code__Numeral_Odiv__mod__code__numeral(_u7588, _u7589) = 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), _u7588), _u7589)), c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u7588, _u7589))) )).
% 20.36/20.61 cnf(matrix-4447, plain, ( ~c_Nitpick_Orefl_H(_u7594, _u7596) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7594, _u7594)), hAPP(hAPP(c_Product__Type_OPair(_u7594, _u7594), _u7590), _u7590)), _u7596)) )).
% 20.36/20.61 cnf(matrix-4448, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7595, _u7595)), hAPP(hAPP(c_Product__Type_OPair(_u7595, _u7595), skolem156(_u7597, _u7595)), skolem156(_u7597, _u7595))), _u7597)) | c_Nitpick_Orefl_H(_u7595, _u7597) )).
% 20.36/20.61 cnf(matrix-4449, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7598)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7598), _u7599)) | ( c_Divides_Odivmod__nat(_u7599, _u7598) = 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), _u7599), _u7598)), _u7598))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7599), _u7598), _u7598))) )).
% 20.36/20.61 cnf(matrix-4450, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nitpick_Opair__box(_u7600, _u7601)), c_Nitpick_Opair__box_OPairBox(_u7600, _u7601, _u7602, _u7603)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-4451, plain, ( ( c_Divides_Odivmod__nat(_u7604, 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)), _u7604)) )).
% 20.36/20.61 cnf(matrix-4452, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7605), _u7606)) | ( c_Divides_Odivmod__nat(_u7605, _u7606) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7605)) )).
% 20.36/20.61 cnf(matrix-4453, plain, ( ( c_Divides_Odivmod__nat(_u7607, _u7608) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7607), _u7608)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7607, _u7608))) )).
% 20.36/20.61 cnf(matrix-4454, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7609, _u7610), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7611), _u7612))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7610)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7613), _u7609), _u7610), 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), _u7613), _u7611)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7613), _u7612)), _u7610))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7613), _u7612), _u7610)))) )).
% 20.36/20.61 cnf(matrix-4455, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7614, _u7615), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7616), _u7617))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7615)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7618)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7614, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7615), _u7618)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7616), _u7618)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7615), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7616, _u7618))), _u7617)))) )).
% 20.36/20.61 cnf(matrix-4456, plain, ( ( c_Nitpick_Opair__box_Opair__box__rec(_u7619, _u7620, _u7621, _u7622, c_Nitpick_Opair__box_OPairBox(_u7619, _u7620, _u7623, _u7624)) = hAPP(hAPP(_u7622, _u7623), _u7624)) )).
% 20.36/20.61 cnf(matrix-4457, plain, ( ( c_Nitpick_Opair__box_Opair__box__case(_u7625, _u7626, _u7627, _u7628, c_Nitpick_Opair__box_OPairBox(_u7625, _u7626, _u7629, _u7630)) = hAPP(hAPP(_u7628, _u7629), _u7630)) )).
% 20.36/20.61 cnf(matrix-4458, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7631, _u7632), _u7633)) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7631, _u7632), _u7634)) | ( _u7633 = _u7634) )).
% 20.36/20.61 cnf(matrix-4459, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7635, _u7636), _u7637)) | ( c_Divides_Odivmod__nat(_u7635, _u7636) = _u7637) )).
% 20.36/20.61 cnf(matrix-4460, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7638, _u7639), c_Divides_Odivmod__nat(_u7638, _u7639))) )).
% 20.36/20.61 cnf(matrix-4461, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7640, _u7641), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7642), _u7643))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7640, _u7641) = _u7643) )).
% 20.36/20.61 cnf(matrix-4462, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7644, _u7645), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7646), _u7647))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7644), _u7645) = _u7646) )).
% 20.36/20.61 cnf(matrix-4463, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7648, _u7649), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7648), _u7649)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7648, _u7649)))) )).
% 20.36/20.61 cnf(matrix-4464, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7650, _u7651), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7652), _u7653))) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7654, _u7651), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7655), _u7656))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7651)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7650), _u7654), _u7651), 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), _u7652), _u7655)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7653), _u7656)), _u7651))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7653), _u7656), _u7651)))) )).
% 20.36/20.61 cnf(matrix-4465, 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), _u7657), _u7658))) | ( c_Divides_OnegDivAlg(_u7657, _u7658) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7657), _u7658))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7657), _u7658))) )).
% 20.36/20.61 cnf(matrix-4466, 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), _u7657), _u7658))) | ( c_Divides_OnegDivAlg(_u7657, _u7658) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7657), _u7658))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7658), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-4467, 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), _u7657), _u7658))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7657), _u7658))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7658), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u7657, _u7658) = hAPP(c_Divides_Oadjust(_u7658), c_Divides_OnegDivAlg(_u7657, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u7658)))) )).
% 20.36/20.61 cnf(matrix-4468, plain, ( ( _u7661 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u7663, _u7661) = 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), _u7663))) )).
% 20.36/20.61 cnf(matrix-4469, plain, ( ( _u7662 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u7664, _u7662) = c_Divides_OposDivAlg(hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7664), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7662))) )).
% 20.36/20.61 cnf(matrix-4470, plain, ( ( c_Divides_Opdivmod(_u7665, _u7666) = 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), _u7665)), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7666))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7665), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7666)))) )).
% 20.36/20.61 cnf(matrix-4471, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7667, _u7668), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7669), _u7670))) | ( _u7668 = 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)), _u7671)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7667, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7668), _u7671)), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7669), _u7671)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7668), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7669, _u7671))), _u7670)))) )).
% 20.36/20.61 cnf(matrix-4472, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7672, _u7673), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7674), _u7675))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7672, _u7673), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7676), _u7677))) | ( _u7673 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7675 = _u7677) )).
% 20.36/20.61 cnf(matrix-4473, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7678, _u7679), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7680), _u7681))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7678, _u7679), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7682), _u7683))) | ( _u7679 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7680 = _u7682) )).
% 20.36/20.61 cnf(matrix-4474, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7684, _u7684), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7685), _u7686))) | ( _u7684 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7686 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.61 cnf(matrix-4475, plain, ( ( _u7687 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u7687), 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)))) )).
% 20.36/20.61 cnf(matrix-4476, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7688, _u7688), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7689), _u7690))) | ( _u7688 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7689 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 20.36/20.61 cnf(matrix-4477, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7691, _u7692), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7693), _u7694))) | ( _u7692 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7691, _u7692) = _u7694) )).
% 20.36/20.61 cnf(matrix-4478, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7695, _u7696), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7697), _u7698))) | ( _u7696 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7695), _u7696) = _u7697) )).
% 20.36/20.61 cnf(matrix-4479, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7699), 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)), _u7700)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7699, _u7700), c_Divides_OnegDivAlg(_u7699, _u7700))) )).
% 20.36/20.61 cnf(matrix-4480, plain, ( ( _u7701 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7702, _u7701), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7702), _u7701)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7702, _u7701)))) )).
% 20.36/20.61 cnf(matrix-4481, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7703)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7704)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7703, _u7704), c_Divides_OposDivAlg(_u7703, _u7704))) )).
% 20.36/20.61 cnf(matrix-4482, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7705, _u7706), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7707), _u7708))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7709, _u7706), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7710), _u7711))) | ( _u7706 = 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), _u7705), _u7709), _u7706), 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), _u7707), _u7710)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7708), _u7711)), _u7706))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7708), _u7711), _u7706)))) )).
% 20.36/20.61 cnf(matrix-4483, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7712, _u7713), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7714), _u7715))) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7712), _u7713), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u7715), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7714)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7714)), c_Groups_Oone__class_Oone(tc_Int_Oint)))), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u7715), 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), _u7713), _u7715))))) )).
% 20.36/20.61 cnf(matrix-4484, plain, ( ( _u7716 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7717), _u7718)), _u7719)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7716, _u7717), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7718), _u7719))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7717)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7717), _u7719)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7719), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-4485, plain, ( ( _u7716 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7717), _u7718)), _u7719)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7716, _u7717), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7718), _u7719))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7719)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7719), _u7717)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7717)) )).
% 20.36/20.61 cnf(matrix-4486, plain, ( ( _u7716 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7717), _u7718)), _u7719)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7716, _u7717), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7718), _u7719))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7719)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7719), _u7717)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7717), _u7719)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7719), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-4487, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7720, _u7721), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7722), _u7723))) | ( _u7721 = 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), _u7724), _u7720), _u7721), 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), _u7724), _u7722)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7724), _u7723)), _u7721))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7724), _u7723), _u7721)))) )).
% 20.36/20.61 cnf(matrix-4488, 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), _u7725), _u7726))) | ( c_Divides_OposDivAlg(_u7725, _u7726) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7725)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7725), _u7726)) )).
% 20.36/20.61 cnf(matrix-4489, 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), _u7725), _u7726))) | ( c_Divides_OposDivAlg(_u7725, _u7726) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7725)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7726), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.61 cnf(matrix-4490, 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), _u7725), _u7726))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7725), _u7726)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7726), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u7725, _u7726) = hAPP(c_Divides_Oadjust(_u7726), c_Divides_OposDivAlg(_u7725, 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)))), _u7726)))) )).
% 20.36/20.61 cnf(matrix-4491, 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), _u7729), _u7730))) | hBOOL(hAPP(hAPP(_u7731, _u7729), _u7730)) | 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), skolem157(_u7731, _u7730, _u7729)), skolem158(_u7731, _u7730, _u7729)))) )).
% 20.36/20.61 cnf(matrix-4492, 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), _u7729), _u7730))) | hBOOL(hAPP(hAPP(_u7731, _u7729), _u7730)) | 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), skolem157(_u7731, _u7730, _u7729)), skolem158(_u7731, _u7730, _u7729)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem158(_u7731, _u7730, _u7729)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u7731, skolem157(_u7731, _u7730, _u7729)), 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)))), skolem158(_u7731, _u7730, _u7729)))) )).
% 20.36/20.61 cnf(matrix-4493, 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), _u7729), _u7730))) | hBOOL(hAPP(hAPP(_u7731, _u7729), _u7730)) | ~hBOOL(hAPP(hAPP(_u7731, skolem157(_u7731, _u7730, _u7729)), skolem158(_u7731, _u7730, _u7729))) )).
% 20.36/20.61 cnf(matrix-4494, 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), _u7734), _u7735))) | hBOOL(hAPP(hAPP(_u7736, _u7734), _u7735)) | 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), skolem159(_u7736, _u7735, _u7734)), skolem160(_u7736, _u7735, _u7734)))) )).
% 20.36/20.61 cnf(matrix-4495, 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), _u7734), _u7735))) | hBOOL(hAPP(hAPP(_u7736, _u7734), _u7735)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem159(_u7736, _u7735, _u7734)), skolem160(_u7736, _u7735, _u7734))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem160(_u7736, _u7735, _u7734)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u7736, skolem159(_u7736, _u7735, _u7734)), 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)))), skolem160(_u7736, _u7735, _u7734)))) )).
% 20.36/20.61 cnf(matrix-4496, 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), _u7734), _u7735))) | hBOOL(hAPP(hAPP(_u7736, _u7734), _u7735)) | ~hBOOL(hAPP(hAPP(_u7736, skolem159(_u7736, _u7735, _u7734)), skolem160(_u7736, _u7735, _u7734))) )).
% 20.36/20.61 cnf(matrix-4497, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7737, tc_fun(_u7737, tc_HOL_Obool))), _u7738), _u7739)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7737, tc_HOL_Obool)), c_Wellfounded_Oaccp(_u7737, _u7739)), c_Wellfounded_Oaccp(_u7737, _u7738))) )).
% 20.36/20.61 cnf(matrix-4498, plain, ( ~hBOOL(hAPP(hAPP(_u7742, _u7744), _u7745)) | hBOOL(hAPP(hAPP(_u7743, _u7744), _u7745)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7740, tc_fun(_u7741, tc_HOL_Obool))), _u7742), _u7743)) )).
% 20.36/20.61 cnf(matrix-4499, plain, ( ~hBOOL(hAPP(hAPP(_u7746, _u7747), _u7748)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7749, tc_fun(_u7750, tc_HOL_Obool))), _u7746), _u7751)) | hBOOL(hAPP(hAPP(_u7751, _u7747), _u7748)) )).
% 20.36/20.61 cnf(matrix-4500, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u7757, _u7759), _u7761)) | ~hBOOL(hAPP(hAPP(_u7759, _u7752), _u7761)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u7757, _u7759), _u7752)) )).
% 20.36/20.61 cnf(matrix-4501, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u7758, _u7760), _u7762)) | hBOOL(hAPP(hAPP(_u7760, skolem161(_u7762, _u7760, _u7758)), _u7762)) )).
% 20.36/20.61 cnf(matrix-4502, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u7758, _u7760), _u7762)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u7758, _u7760), skolem161(_u7762, _u7760, _u7758))) )).
% 20.36/20.61 cnf(matrix-4503, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u7768, _u7770), _u7772)) | ~hBOOL(hAPP(hAPP(_u7770, _u7763), _u7772)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u7768, _u7770), _u7763)) )).
% 20.36/20.61 cnf(matrix-4504, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u7769, _u7771), _u7773)) | hBOOL(hAPP(hAPP(_u7771, skolem162(_u7773, _u7771, _u7769)), _u7773)) )).
% 20.36/20.61 cnf(matrix-4505, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u7769, _u7771), _u7773)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u7769, _u7771), skolem162(_u7773, _u7771, _u7769))) )).
% 20.36/20.61 cnf(matrix-4506, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u7774, _u7775), _u7776)) | ~hBOOL(hAPP(hAPP(_u7775, _u7777), _u7776)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u7774, _u7775), _u7777)) )).
% 20.36/20.61 cnf(matrix-4507, 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), _u7778), _u7779))) | ( _u7779 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u7778, _u7779) = _u7778) )).
% 20.36/20.61 cnf(matrix-4508, 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), _u7778), _u7779))) | ( _u7779 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u7778, _u7779) = c_Nitpick_Onat__gcd(_u7779, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7778, _u7779))) )).
% 20.36/20.61 cnf(matrix-4509, plain, ( ( c_Nat_Onat_Onat__size(hAPP(c_Nat_OSuc, _u7780)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Nat_Onat_Onat__size(_u7780)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 20.36/20.61 cnf(matrix-4510, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u7791, _u7787)), hAPP(_u7791, _u7789))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7785, _u7785)), hAPP(hAPP(c_Product__Type_OPair(_u7785, _u7785), _u7787), _u7789)), hAPP(c_Wellfounded_Omeasure(_u7785), _u7791))) )).
% 20.36/20.61 cnf(matrix-4511, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u7792, _u7788)), hAPP(_u7792, _u7790))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7786, _u7786)), hAPP(hAPP(c_Product__Type_OPair(_u7786, _u7786), _u7788), _u7790)), hAPP(c_Wellfounded_Omeasure(_u7786), _u7792))) )).
% 20.36/20.61 cnf(matrix-4512, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u7793, _u7794)), hAPP(_u7793, _u7795))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7796, _u7796)), hAPP(hAPP(c_Product__Type_OPair(_u7796, _u7796), _u7794), _u7795)), _u7797)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7796, _u7796)), hAPP(hAPP(c_Product__Type_OPair(_u7796, _u7796), _u7794), _u7795)), c_Wellfounded_Omlex__prod(_u7796, _u7793, _u7797))) )).
% 20.36/20.61 cnf(matrix-4513, plain, ( ( c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-4514, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u7798, _u7799)), hAPP(_u7798, _u7800))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7801, _u7801)), hAPP(hAPP(c_Product__Type_OPair(_u7801, _u7801), _u7799), _u7800)), c_Wellfounded_Omlex__prod(_u7801, _u7798, _u7802))) )).
% 20.36/20.61 cnf(matrix-4515, 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), _u7805), _u7806))) | hBOOL(hAPP(hAPP(_u7807, _u7805), _u7806)) | 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), skolem163(_u7807, _u7806, _u7805)), skolem164(_u7807, _u7806, _u7805)))) )).
% 20.36/20.61 cnf(matrix-4516, 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), _u7805), _u7806))) | hBOOL(hAPP(hAPP(_u7807, _u7805), _u7806)) | ( skolem164(_u7807, _u7806, _u7805) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(_u7807, skolem164(_u7807, _u7806, _u7805)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, skolem163(_u7807, _u7806, _u7805), skolem164(_u7807, _u7806, _u7805)))) )).
% 20.36/20.61 cnf(matrix-4517, 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), _u7805), _u7806))) | hBOOL(hAPP(hAPP(_u7807, _u7805), _u7806)) | ~hBOOL(hAPP(hAPP(_u7807, skolem163(_u7807, _u7806, _u7805)), skolem164(_u7807, _u7806, _u7805))) )).
% 20.36/20.61 cnf(matrix-4518, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7808)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u7808)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 20.36/20.61 cnf(matrix-4519, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7811)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7813)) | ( c_Divides_Odivmod__int(_u7811, _u7813) = c_Divides_OposDivAlg(_u7811, _u7813)) )).
% 20.36/20.61 cnf(matrix-4520, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7811)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7813)) | ( _u7811 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u7811, _u7813) = 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))) )).
% 20.36/20.61 cnf(matrix-4521, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7811)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7813)) | ( _u7811 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u7811, _u7813) = hAPP(c_Divides_OnegateSnd, c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7811), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7813)))) )).
% 20.36/20.61 cnf(matrix-4522, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7812)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7814)) | ( c_Divides_Odivmod__int(_u7812, _u7814) = c_Divides_OnegDivAlg(_u7812, _u7814)) )).
% 20.36/20.61 cnf(matrix-4523, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7812)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7814)) | ( c_Divides_Odivmod__int(_u7812, _u7814) = hAPP(c_Divides_OnegateSnd, c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7812), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7814)))) )).
% 20.36/20.61 cnf(matrix-4524, 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), _u7815))) | ( 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), _u7815)) = 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), _u7815)))) )).
% 20.36/20.61 cnf(matrix-4525, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7816, _u7817) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u7816, _u7817))) )).
% 20.36/20.61 cnf(matrix-4526, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u7818) = _u7818) )).
% 20.36/20.61 cnf(matrix-4527, 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)) )).
% 20.36/20.61 cnf(matrix-4528, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7819)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7820), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7819, _u7820) = 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), _u7819), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7820))))) )).
% 20.36/20.61 cnf(matrix-4529, plain, ( ( hAPP(c_Divides_OnegateSnd, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7821), _u7822)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7821), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7822))) )).
% 20.36/20.61 cnf(matrix-4530, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7823), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7824), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7823, _u7824) = 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), _u7823), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7824))))) )).
% 20.36/20.61 cnf(matrix-4531, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7825), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7826)), _u7827)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7825, _u7826), hAPP(c_Divides_OnegateSnd, _u7827))) )).
% 20.36/20.61 cnf(matrix-4532, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7828), 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)), _u7829)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7828, _u7829) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u7828, _u7829))) )).
% 20.36/20.61 cnf(matrix-4533, plain, ( ( _u7830 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7831, _u7830), c_Divides_Odivmod__int(_u7831, _u7830))) )).
% 20.36/20.61 cnf(matrix-4534, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7832)), 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), _u7832)) = 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), _u7832)))))) )).
% 20.36/20.61 cnf(matrix-4535, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7833)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7834)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7833, _u7834) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u7833, _u7834))) )).
% 20.36/20.61 cnf(matrix-4536, plain, ( ( c_Divides_Odivmod__int(_u7835, _u7836) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7835), _u7836)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7835, _u7836))) )).
% 20.36/20.61 cnf(matrix-4537, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7837)), 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), _u7837)) = 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), _u7837)))))) )).
% 20.36/20.61 cnf(matrix-4538, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7838), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7839), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7838), _u7839) = 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), _u7838), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7839))))) )).
% 20.36/20.61 cnf(matrix-4539, plain, ( ( _u7843 = _u7844) | ( hAPP(c_Product__Type_Osnd(_u7840, _u7841), hAPP(hAPP(c_Product__Type_OPair(_u7840, _u7841), _u7842), _u7843)) != _u7844) )).
% 20.36/20.61 cnf(matrix-4540, plain, ( ( hAPP(c_Product__Type_Osnd(_u7845, _u7846), hAPP(hAPP(c_Product__Type_OPair(_u7845, _u7846), _u7847), _u7848)) = _u7848) )).
% 20.36/20.61 cnf(matrix-4541, plain, ( ( _u7853 != _u7855) | ( hAPP(c_Product__Type_Ofst(_u7857, _u7859), _u7853) = hAPP(c_Product__Type_Ofst(_u7857, _u7859), _u7855)) )).
% 20.36/20.61 cnf(matrix-4542, plain, ( ( _u7853 != _u7855) | ( hAPP(c_Product__Type_Osnd(_u7857, _u7859), _u7853) = hAPP(c_Product__Type_Osnd(_u7857, _u7859), _u7855)) )).
% 20.36/20.61 cnf(matrix-4543, plain, ( ( hAPP(c_Product__Type_Ofst(_u7858, _u7860), _u7854) != hAPP(c_Product__Type_Ofst(_u7858, _u7860), _u7856)) | ( hAPP(c_Product__Type_Osnd(_u7858, _u7860), _u7854) != hAPP(c_Product__Type_Osnd(_u7858, _u7860), _u7856)) | ( _u7854 = _u7856) )).
% 20.36/20.61 cnf(matrix-4544, plain, ( ( hAPP(c_Product__Type_Ofst(_u7861, _u7862), _u7863) != hAPP(c_Product__Type_Ofst(_u7861, _u7862), _u7864)) | ( hAPP(c_Product__Type_Osnd(_u7861, _u7862), _u7863) != hAPP(c_Product__Type_Osnd(_u7861, _u7862), _u7864)) | ( _u7863 = _u7864) )).
% 20.36/20.61 cnf(matrix-4545, plain, ( ( hAPP(c_Product__Type_Ofst(_u7865, _u7866), hAPP(hAPP(c_Product__Type_OPair(_u7865, _u7866), _u7867), _u7868)) = _u7867) )).
% 20.36/20.61 cnf(matrix-4546, plain, ( ( _u7871 = _u7873) | ( hAPP(c_Product__Type_Ofst(_u7869, _u7870), hAPP(hAPP(c_Product__Type_OPair(_u7869, _u7870), _u7871), _u7872)) != _u7873) )).
% 20.36/20.61 cnf(matrix-4547, plain, ( ( _u7874 = hAPP(hAPP(c_Product__Type_OPair(_u7875, _u7876), hAPP(c_Product__Type_Ofst(_u7875, _u7876), _u7874)), hAPP(c_Product__Type_Osnd(_u7875, _u7876), _u7874))) )).
% 20.36/20.61 cnf(matrix-4548, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u7877, _u7878), hAPP(c_Product__Type_Ofst(_u7877, _u7878), _u7879)), hAPP(c_Product__Type_Osnd(_u7877, _u7878), _u7879)) = _u7879) )).
% 20.36/20.61 cnf(matrix-4549, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7880), _u7881) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u7880, _u7881))) )).
% 20.36/20.61 cnf(matrix-4550, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7882, _u7883) = hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u7882, _u7883))) )).
% 20.36/20.61 cnf(matrix-4551, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u7884, _u7885), _u7886), _u7887) != hAPP(hAPP(c_Product__Type_OPair(_u7884, _u7885), _u7888), _u7889)) | ( _u7886 = _u7888) )).
% 20.36/20.61 cnf(matrix-4552, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u7884, _u7885), _u7886), _u7887) != hAPP(hAPP(c_Product__Type_OPair(_u7884, _u7885), _u7888), _u7889)) | ( _u7887 = _u7889) )).
% 20.36/20.61 cnf(matrix-4553, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u7896, _u7898), _u7900), _u7902) != hAPP(hAPP(c_Product__Type_OPair(_u7896, _u7898), _u7904), _u7906)) | ( _u7900 = _u7904) )).
% 20.36/20.61 cnf(matrix-4554, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u7896, _u7898), _u7900), _u7902) != hAPP(hAPP(c_Product__Type_OPair(_u7896, _u7898), _u7904), _u7906)) | ( _u7902 = _u7906) )).
% 20.36/20.61 cnf(matrix-4555, plain, ( ( _u7901 != _u7905) | ( _u7903 != _u7907) | ( hAPP(hAPP(c_Product__Type_OPair(_u7897, _u7899), _u7901), _u7903) = hAPP(hAPP(c_Product__Type_OPair(_u7897, _u7899), _u7905), _u7907)) )).
% 20.36/20.61 cnf(matrix-4556, plain, ( ~hBOOL(hAPP(_u7917, skolem165(_u7921, _u7919, _u7917))) | hBOOL(hAPP(_u7917, hAPP(hAPP(c_Product__Type_OPair(_u7919, _u7921), _u7910), _u7909))) )).
% 20.36/20.61 cnf(matrix-4557, plain, ( ~hBOOL(hAPP(_u7918, hAPP(hAPP(c_Product__Type_OPair(_u7920, _u7922), skolem166(_u7922, _u7920, _u7918)), skolem167(_u7922, _u7920, _u7918)))) | hBOOL(hAPP(_u7918, _u7913)) )).
% 20.36/20.61 cnf(matrix-4558, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7923), 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)), _u7924)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7923), _u7924) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u7923, _u7924))) )).
% 20.36/20.61 cnf(matrix-4559, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7925)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7926)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7925), _u7926) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u7925, _u7926))) )).
% 20.36/20.61 cnf(matrix-4560, 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), _u7927))) | ( 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), _u7927)) = 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), _u7927)))) )).
% 20.36/20.61 cnf(matrix-4561, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7928)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7929), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7928), _u7929) = 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), _u7928), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7929))))) )).
% 20.36/20.61 cnf(matrix-4562, plain, ( ( c_Product__Type_Oprod_Oprod__size(_u7930, _u7931, _u7932, _u7933, _u7934) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u7932, hAPP(c_Product__Type_Ofst(_u7930, _u7931), _u7934))), hAPP(_u7933, hAPP(c_Product__Type_Osnd(_u7930, _u7931), _u7934)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 20.36/20.61 cnf(matrix-4563, plain, ( ~hBOOL(hAPP(_u7935, _u7936)) | ~hBOOL(hAPP(_u7937, _u7938)) | hBOOL(hAPP(_u7935, hAPP(c_Product__Type_Ofst(_u7939, _u7940), hAPP(hAPP(c_Product__Type_OPair(_u7939, _u7940), _u7936), _u7938)))) )).
% 20.36/20.61 cnf(matrix-4564, plain, ( ~hBOOL(hAPP(_u7935, _u7936)) | ~hBOOL(hAPP(_u7937, _u7938)) | hBOOL(hAPP(_u7937, hAPP(c_Product__Type_Osnd(_u7939, _u7940), hAPP(hAPP(c_Product__Type_OPair(_u7939, _u7940), _u7936), _u7938)))) )).
% 20.36/20.61 cnf(matrix-4565, plain, ( ~hBOOL(hAPP(hAPP(_u7941, _u7942), _u7943)) | hBOOL(hAPP(hAPP(_u7941, hAPP(c_Product__Type_Osnd(_u7944, _u7945), hAPP(hAPP(c_Product__Type_OPair(_u7944, _u7945), _u7943), _u7942))), hAPP(c_Product__Type_Ofst(_u7944, _u7945), hAPP(hAPP(c_Product__Type_OPair(_u7944, _u7945), _u7943), _u7942)))) )).
% 20.36/20.61 cnf(matrix-4566, plain, ( ( c_Product__Type_Oprod_Oprod__rec(_u7946, _u7947, _u7948, _u7949, hAPP(hAPP(c_Product__Type_OPair(_u7946, _u7947), _u7950), _u7951)) = hAPP(hAPP(_u7949, _u7950), _u7951)) )).
% 20.36/20.61 cnf(matrix-4567, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7952), _u7953) = hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u7952, _u7953))) )).
% 20.36/20.61 cnf(matrix-4568, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7957, _u7959), _u7961)) | ( _u7957 = 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), _u7961)), _u7959)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7961))) )).
% 20.36/20.61 cnf(matrix-4569, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7957, _u7959), _u7961)) | ( _u7959 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u7961) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-4570, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7957, _u7959), _u7961)) | ( _u7959 = 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)), _u7959)) | 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), _u7961))) )).
% 20.36/20.61 cnf(matrix-4571, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7957, _u7959), _u7961)) | ( _u7959 = 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)), _u7959)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7961)), _u7959)) )).
% 20.36/20.61 cnf(matrix-4572, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7957, _u7959), _u7961)) | ( _u7959 = 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)), _u7959)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7959), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7961))) )).
% 20.36/20.61 cnf(matrix-4573, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7957, _u7959), _u7961)) | ( _u7959 = 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)), _u7959)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7961)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.61 cnf(matrix-4574, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7958, _u7960), _u7962)) | ( _u7958 != 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), _u7962)), _u7960)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7962))) | ( _u7960 = 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)), _u7960)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7960), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7962))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7962)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.61 cnf(matrix-4575, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7958, _u7960), _u7962)) | ( _u7958 != 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), _u7962)), _u7960)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7962))) | ( _u7960 = 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), _u7962))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7962)), _u7960)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7960)) )).
% 20.36/20.61 cnf(matrix-4576, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7958, _u7960), _u7962)) | ( _u7958 != 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), _u7962)), _u7960)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7962))) | ( _u7960 = 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), _u7962))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7962)), _u7960)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7960), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7962))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7962)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.61 cnf(matrix-4577, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7958, _u7960), _u7962)) | ( _u7958 != 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), _u7962)), _u7960)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7962))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u7962) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7960 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-4578, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7958, _u7960), _u7962)) | ( _u7958 != 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), _u7962)), _u7960)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7962))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u7962) != 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)), _u7960)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7960), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7962))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7962)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.61 cnf(matrix-4579, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7958, _u7960), _u7962)) | ( _u7958 != 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), _u7962)), _u7960)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7962))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u7962) != 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), _u7962))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7962)), _u7960)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7960)) )).
% 20.36/20.61 cnf(matrix-4580, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7958, _u7960), _u7962)) | ( _u7958 != 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), _u7962)), _u7960)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7962))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u7962) != 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), _u7962))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7962)), _u7960)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7960), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7962))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u7962)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.61 cnf(matrix-4581, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), _u7963)) | 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(_u7963), _u7964))), _u7963)) )).
% 20.36/20.61 cnf(matrix-4582, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u7973, _u7975), tc_prod(_u7973, _u7975))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u7973, _u7975), tc_prod(_u7973, _u7975)), hAPP(hAPP(c_Product__Type_OPair(_u7973, _u7975), _u7977), _u7979)), hAPP(hAPP(c_Product__Type_OPair(_u7973, _u7975), _u7981), _u7983))), c_Wellfounded_Olex__prod(_u7973, _u7975, _u7985, _u7987))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7973, _u7973)), hAPP(hAPP(c_Product__Type_OPair(_u7973, _u7973), _u7977), _u7981)), _u7985)) | ( _u7977 = _u7981) )).
% 20.36/20.61 cnf(matrix-4583, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u7973, _u7975), tc_prod(_u7973, _u7975))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u7973, _u7975), tc_prod(_u7973, _u7975)), hAPP(hAPP(c_Product__Type_OPair(_u7973, _u7975), _u7977), _u7979)), hAPP(hAPP(c_Product__Type_OPair(_u7973, _u7975), _u7981), _u7983))), c_Wellfounded_Olex__prod(_u7973, _u7975, _u7985, _u7987))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7973, _u7973)), hAPP(hAPP(c_Product__Type_OPair(_u7973, _u7973), _u7977), _u7981)), _u7985)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7975, _u7975)), hAPP(hAPP(c_Product__Type_OPair(_u7975, _u7975), _u7979), _u7983)), _u7987)) )).
% 20.36/20.61 cnf(matrix-4584, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u7974, _u7976), tc_prod(_u7974, _u7976))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u7974, _u7976), tc_prod(_u7974, _u7976)), hAPP(hAPP(c_Product__Type_OPair(_u7974, _u7976), _u7978), _u7980)), hAPP(hAPP(c_Product__Type_OPair(_u7974, _u7976), _u7982), _u7984))), c_Wellfounded_Olex__prod(_u7974, _u7976, _u7986, _u7988))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7974, _u7974)), hAPP(hAPP(c_Product__Type_OPair(_u7974, _u7974), _u7978), _u7982)), _u7986)) )).
% 20.36/20.61 cnf(matrix-4585, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u7974, _u7976), tc_prod(_u7974, _u7976))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u7974, _u7976), tc_prod(_u7974, _u7976)), hAPP(hAPP(c_Product__Type_OPair(_u7974, _u7976), _u7978), _u7980)), hAPP(hAPP(c_Product__Type_OPair(_u7974, _u7976), _u7982), _u7984))), c_Wellfounded_Olex__prod(_u7974, _u7976, _u7986, _u7988))) | ( _u7978 != _u7982) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7976, _u7976)), hAPP(hAPP(c_Product__Type_OPair(_u7976, _u7976), _u7980), _u7984)), _u7988)) )).
% 20.36/20.61 cnf(matrix-4586, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u7992, tc_HOL_Obool), tc_fun(_u7992, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u7992, tc_HOL_Obool), tc_fun(_u7992, tc_HOL_Obool)), _u7994), _u7996)), c_Wellfounded_Ofinite__psubset(_u7992))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7992, tc_HOL_Obool)), _u7994), _u7996)) )).
% 20.36/20.61 cnf(matrix-4587, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u7992, tc_HOL_Obool), tc_fun(_u7992, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u7992, tc_HOL_Obool), tc_fun(_u7992, tc_HOL_Obool)), _u7994), _u7996)), c_Wellfounded_Ofinite__psubset(_u7992))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7992), _u7996)) )).
% 20.36/20.61 cnf(matrix-4588, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7993, tc_HOL_Obool)), _u7995), _u7997)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7993), _u7997)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u7993, tc_HOL_Obool), tc_fun(_u7993, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u7993, tc_HOL_Obool), tc_fun(_u7993, tc_HOL_Obool)), _u7995), _u7997)), c_Wellfounded_Ofinite__psubset(_u7993))) )).
% 20.36/20.61 cnf(matrix-4589, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7998), _u7999)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8000), _u8001)) | 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), _u7998), _u8000)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7999), _u8001))), c_FunDef_Opair__less)) )).
% 20.36/20.61 cnf(matrix-4590, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8002), _u8003)) | 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), _u8002), _u8004)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8003), _u8005))), c_FunDef_Opair__less)) )).
% 20.36/20.61 cnf(matrix-4591, plain, ( ~hBOOL(hAPP(_u8006, _u8007)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8008, _u8008)), hAPP(hAPP(c_Product__Type_OPair(_u8008, _u8008), _u8009), _u8010)), hAPP(_u8011, _u8007))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u8012, _u8008), tc_prod(_u8012, _u8008))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u8012, _u8008), tc_prod(_u8012, _u8008)), hAPP(hAPP(c_Product__Type_OPair(_u8012, _u8008), _u8007), _u8009)), hAPP(hAPP(c_Product__Type_OPair(_u8012, _u8008), _u8007), _u8010))), c_Recdef_Osame__fst(_u8012, _u8008, _u8006, _u8011))) )).
% 20.36/20.61 cnf(matrix-4592, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8013), _u8014)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8015), _u8016)) | 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), _u8013), _u8015)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8014), _u8016))), c_FunDef_Opair__leq)) )).
% 20.36/20.61 cnf(matrix-4593, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8017), _u8018)) | ~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)), _u8019), _u8017)), 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)), _u8020), _u8018)), 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)), _u8019), _u8020)), _u8018)), c_FunDef_Omax__strict)) )).
% 20.36/20.61 cnf(matrix-4594, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8021), _u8022)) | ~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)), _u8021), _u8023)), 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)), _u8022), _u8024)), 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)), _u8022), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8023), _u8024))), c_FunDef_Omin__strict)) )).
% 20.36/20.61 cnf(matrix-4595, plain, ( ( _u8025 = 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)), _u8025), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__strict)) )).
% 20.36/20.61 cnf(matrix-4596, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8026)) | ( _u8026 = 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))), _u8026)), c_FunDef_Omax__strict)) )).
% 20.36/20.61 cnf(matrix-4597, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8027), _u8028)) | 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), _u8027), _u8029)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8028), _u8030))), c_FunDef_Opair__leq)) )).
% 20.36/20.61 cnf(matrix-4598, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8031), _u8032)) | ~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)), _u8031), _u8033)), 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)), _u8032), _u8034)), 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)), _u8032), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8033), _u8034))), c_FunDef_Omin__weak)) )).
% 20.36/20.61 cnf(matrix-4599, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8035), _u8036)) | ~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)), _u8037), _u8035)), 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)), _u8038), _u8036)), 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)), _u8037), _u8038)), _u8036)), c_FunDef_Omax__weak)) )).
% 20.36/20.61 cnf(matrix-4600, 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)), _u8039), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__weak)) )).
% 20.36/20.61 cnf(matrix-4601, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8040)) | 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))), _u8040)), c_FunDef_Omax__weak)) )).
% 20.36/20.61 cnf(matrix-4602, plain, ( ( _u8041 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u8042, _u8042), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u8042, _u8042), tc_HOL_Obool)), _u8041), _u8043)) )).
% 20.36/20.61 cnf(matrix-4603, 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))))) )).
% 20.36/20.61 cnf(matrix-4604, 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))))) )).
% 20.36/20.61 cnf(matrix-4605, 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)) )).
% 20.36/20.61 cnf(matrix-4606, 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)) )).
% 20.36/20.61 cnf(matrix-4607, plain, ( ( c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less)) )).
% 20.36/20.61 cnf(matrix-4608, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8044, tc_HOL_Obool), tc_fun(_u8044, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8044, tc_HOL_Obool), tc_fun(_u8044, tc_HOL_Obool)), _u8045), _u8046)), c_Wellfounded_Omax__ext(_u8044, _u8047))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8044, tc_HOL_Obool), tc_fun(_u8044, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8044, tc_HOL_Obool), tc_fun(_u8044, tc_HOL_Obool)), _u8048), _u8049)), c_Wellfounded_Omax__ext(_u8044, _u8047))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8044, tc_HOL_Obool), tc_fun(_u8044, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8044, tc_HOL_Obool), tc_fun(_u8044, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8044, tc_HOL_Obool)), _u8045), _u8048)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8044, tc_HOL_Obool)), _u8046), _u8049))), c_Wellfounded_Omax__ext(_u8044, _u8047))) )).
% 20.36/20.61 cnf(matrix-4609, plain, ( ( c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less)) )).
% 20.36/20.61 cnf(matrix-4610, 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), _u8052), _u8054)), c_Wellfounded_Oless__than)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8052), _u8054)) )).
% 20.36/20.61 cnf(matrix-4611, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8053), _u8055)) | 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), _u8053), _u8055)), c_Wellfounded_Oless__than)) )).
% 20.36/20.61 cnf(matrix-4612, 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), _u8060), _u8062)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8064), _u8066))), c_Int_Ointrel)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8060), _u8066) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8064), _u8062)) )).
% 20.36/20.61 cnf(matrix-4613, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8061), _u8067) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8065), _u8063)) | 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), _u8061), _u8063)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8065), _u8067))), c_Int_Ointrel)) )).
% 20.36/20.61 cnf(matrix-4614, plain, ( ~c_FunDef_Oreduction__pair(_u8068, _u8069) | c_FunDef_Oreduction__pair(_u8070, hAPP(hAPP(c_FunDef_Orp__inv__image(_u8068, _u8070), _u8069), _u8071)) )).
% 20.36/20.61 cnf(matrix-4615, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8074), _u8075)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8074), _u8076)) | ( _u8076 = c_Orderings_Obot__class_Obot(tc_fun(_u8074, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8074, tc_HOL_Obool), tc_fun(_u8074, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8074, tc_HOL_Obool), tc_fun(_u8074, tc_HOL_Obool)), _u8075), _u8076)), c_Wellfounded_Omax__ext(_u8074, _u8077))) | hBOOL(hAPP(hAPP(c_member(_u8074), skolem168(_u8077, _u8076, _u8075, _u8074)), _u8075)) )).
% 20.36/20.61 cnf(matrix-4616, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8074), _u8075)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8074), _u8076)) | ( _u8076 = c_Orderings_Obot__class_Obot(tc_fun(_u8074, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8074, tc_HOL_Obool), tc_fun(_u8074, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8074, tc_HOL_Obool), tc_fun(_u8074, tc_HOL_Obool)), _u8075), _u8076)), c_Wellfounded_Omax__ext(_u8074, _u8077))) | ~hBOOL(hAPP(hAPP(c_member(_u8074), _u8072), _u8076)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8074, _u8074)), hAPP(hAPP(c_Product__Type_OPair(_u8074, _u8074), skolem168(_u8077, _u8076, _u8075, _u8074)), _u8072)), _u8077)) )).
% 20.36/20.61 cnf(matrix-4617, plain, ( ( c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat, tc_Nat_Onat, c_Wellfounded_Oless__than, c_Wellfounded_Oless__than)) )).
% 20.36/20.61 cnf(matrix-4618, 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)), _u8080), 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)), _u8082), 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)), _u8080), _u8082)), c_Int_Ointrel)) )).
% 20.36/20.61 cnf(matrix-4619, 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)), _u8081), _u8083)), 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)), _u8081), 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)), _u8083), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))) )).
% 20.36/20.61 cnf(matrix-4620, plain, ( ( c_Nitpick_Ozero__frac(_u8084) = c_Nitpick_OAbs__Frac(_u8084, 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)))) )).
% 20.36/20.61 cnf(matrix-4621, plain, ( ( c_Wellfounded_Omeasure(_u8085) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat, _u8085), c_Wellfounded_Oless__than)) )).
% 20.36/20.61 cnf(matrix-4622, plain, ( ( hAPP(c_Divides_Oadjust(_u8086), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8087), _u8088)) = 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), _u8088), _u8086)), 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)))), _u8087)), 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)))), _u8087)), _u8088)))) )).
% 20.36/20.61 cnf(matrix-4623, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8089) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8089), hAPP(c_Groups_Oabs__class_Oabs(_u8089), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8090, _u8089), _u8091), _u8092))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8090, _u8089), hAPP(hAPP(c_COMBB(_u8089, _u8089, _u8090), c_Groups_Oabs__class_Oabs(_u8089)), _u8091)), _u8092))) )).
% 20.36/20.61 cnf(matrix-4624, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8093) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8093), c_Groups_Ozero__class_Ozero(_u8093)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8094, _u8093), hAPP(hAPP(c_COMBB(_u8093, _u8093, _u8094), c_Groups_Oabs__class_Oabs(_u8093)), _u8095)), _u8096))) )).
% 20.36/20.61 cnf(matrix-4625, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8097) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8098), _u8099)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8098, _u8097), hAPP(hAPP(c_COMBS(_u8098, _u8097, _u8097), hAPP(hAPP(c_COMBB(_u8097, tc_fun(_u8097, _u8097), _u8098), c_Groups_Otimes__class_Otimes(_u8097)), _u8100)), _u8101)), _u8099) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8097), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8098, _u8097), _u8100), _u8099)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8098, _u8097), _u8101), _u8099))) )).
% 20.36/20.61 cnf(matrix-4626, plain, ( ~class_Groups_Ocomm__monoid__add(_u8102) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8103), _u8104)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8103, _u8102), hAPP(hAPP(c_COMBS(_u8103, _u8102, _u8102), hAPP(hAPP(c_COMBB(_u8102, tc_fun(_u8102, _u8102), _u8103), c_Groups_Oplus__class_Oplus(_u8102)), _u8105)), _u8106)), _u8104) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8102), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8103, _u8102), _u8105), _u8104)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8103, _u8102), _u8106), _u8104))) )).
% 20.36/20.61 cnf(matrix-4627, plain, ( ~class_Fields_Ofield__inverse__zero(_u8107) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8108), _u8109)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8108, _u8107), hAPP(hAPP(c_COMBS(_u8108, _u8107, _u8107), hAPP(hAPP(c_COMBB(_u8107, tc_fun(_u8107, _u8107), _u8108), c_Rings_Oinverse__class_Odivide(_u8107)), _u8110)), _u8111)), _u8109) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8107), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8108, _u8107), _u8110), _u8109)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8108, _u8107), _u8111), _u8109))) )).
% 20.36/20.61 cnf(matrix-4628, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u8112)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8112)), 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)))) )).
% 20.36/20.61 cnf(matrix-4629, plain, ( ~class_Groups_Oab__group__add(_u8113) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8114, _u8113), hAPP(hAPP(c_COMBB(_u8113, _u8113, _u8114), c_Groups_Ouminus__class_Ouminus(_u8113)), _u8115)), _u8116) = hAPP(c_Groups_Ouminus__class_Ouminus(_u8113), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8114, _u8113), _u8115), _u8116))) )).
% 20.36/20.61 cnf(matrix-4630, plain, ( ~class_Groups_Ouminus(_u8117) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8118, _u8117)), _u8119), _u8120) = hAPP(c_Groups_Ouminus__class_Ouminus(_u8117), hAPP(_u8119, _u8120))) )).
% 20.36/20.61 cnf(matrix-4631, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8121, tc_Nat_Onat), _u8122), _u8123)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8121, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u8121), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8122)), _u8123)) )).
% 20.36/20.61 cnf(matrix-4632, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8124) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8125, _u8124), hAPP(c_COMBK(_u8124, _u8125), c_Groups_Oone__class_Oone(_u8124))), _u8126) = c_Groups_Oone__class_Oone(_u8124)) )).
% 20.36/20.61 cnf(matrix-4633, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8127) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8127), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8128, _u8127), hAPP(hAPP(c_COMBB(_u8127, _u8127, _u8128), c_Groups_Oabs__class_Oabs(_u8127)), _u8129)), _u8130)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8128, _u8127), hAPP(hAPP(c_COMBB(_u8127, _u8127, _u8128), c_Groups_Oabs__class_Oabs(_u8127)), _u8129)), _u8130)) )).
% 20.36/20.61 cnf(matrix-4634, plain, ( ~class_Fields_Olinordered__field(_u8131) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8131), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8132, _u8131), _u8133), _u8134)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8132, _u8131), hAPP(hAPP(c_COMBB(_u8131, _u8131, _u8132), c_Groups_Oabs__class_Oabs(_u8131)), _u8133)), _u8134)) )).
% 20.36/20.61 cnf(matrix-4635, plain, ( ~class_Rings_Osemiring__0(_u8135) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8135), _u8136), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8137, _u8135), _u8138), _u8139)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8137, _u8135), hAPP(hAPP(c_COMBB(_u8135, _u8135, _u8137), hAPP(c_Groups_Otimes__class_Otimes(_u8135), _u8136)), _u8138)), _u8139)) )).
% 20.36/20.61 cnf(matrix-4636, plain, ( ~class_Rings_Osemiring__0(_u8140) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8140), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8141, _u8140), _u8142), _u8143)), _u8144) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8141, _u8140), hAPP(hAPP(c_COMBC(_u8141, _u8140, _u8140), hAPP(hAPP(c_COMBB(_u8140, tc_fun(_u8140, _u8140), _u8141), c_Groups_Otimes__class_Otimes(_u8140)), _u8142)), _u8144)), _u8143)) )).
% 20.36/20.61 cnf(matrix-4637, plain, ( ~class_Rings_Osemiring__0(_u8145) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8145), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8146, _u8145), _u8147), _u8148)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8149, _u8145), _u8150), _u8151)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8146, _u8145), hAPP(hAPP(c_COMBC(_u8146, tc_fun(_u8149, tc_HOL_Obool), _u8145), hAPP(hAPP(c_COMBB(tc_fun(_u8149, _u8145), tc_fun(tc_fun(_u8149, tc_HOL_Obool), _u8145), _u8146), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8149, _u8145)), hAPP(hAPP(c_COMBC(_u8146, tc_fun(_u8149, _u8145), tc_fun(_u8149, _u8145)), hAPP(hAPP(c_COMBB(tc_fun(_u8145, _u8145), tc_fun(tc_fun(_u8149, _u8145), tc_fun(_u8149, _u8145)), _u8146), c_COMBB(_u8145, _u8145, _u8149)), hAPP(hAPP(c_COMBB(_u8145, tc_fun(_u8145, _u8145), _u8146), c_Groups_Otimes__class_Otimes(_u8145)), _u8147))), _u8150))), _u8151)), _u8148)) )).
% 20.36/20.61 cnf(matrix-4638, plain, ( ~class_Lattices_Olattice(_u8152) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8153, _u8152)), _u8154), _u8155), _u8156) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8152), hAPP(_u8154, _u8156)), hAPP(_u8155, _u8156))) )).
% 20.36/20.61 cnf(matrix-4639, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8157) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8158, _u8157), hAPP(hAPP(c_COMBS(_u8158, _u8157, _u8157), hAPP(hAPP(c_COMBB(_u8157, tc_fun(_u8157, _u8157), _u8158), c_Groups_Otimes__class_Otimes(_u8157)), _u8159)), _u8160)), _u8161) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8157), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8158, _u8157), _u8159), _u8161)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8158, _u8157), _u8160), _u8161))) )).
% 20.36/20.61 cnf(matrix-4640, plain, ( ~c_Finite__Set_Ofun__left__comm(_u8162, _u8163, _u8164) | c_Finite__Set_Ofun__left__comm(_u8165, _u8163, hAPP(hAPP(c_COMBB(_u8162, tc_fun(_u8163, _u8163), _u8165), _u8164), _u8166)) )).
% 20.36/20.61 cnf(matrix-4641, plain, ( ~class_Groups_Ocomm__monoid__add(_u8167) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8168, _u8167), hAPP(hAPP(c_COMBC(_u8168, tc_fun(_u8169, tc_HOL_Obool), _u8167), hAPP(hAPP(c_COMBB(tc_fun(_u8169, _u8167), tc_fun(tc_fun(_u8169, tc_HOL_Obool), _u8167), _u8168), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8169, _u8167)), _u8170)), _u8171)), _u8172) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8169, _u8167), hAPP(hAPP(c_COMBC(_u8169, tc_fun(_u8168, tc_HOL_Obool), _u8167), hAPP(hAPP(c_COMBB(tc_fun(_u8168, _u8167), tc_fun(tc_fun(_u8168, tc_HOL_Obool), _u8167), _u8169), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8168, _u8167)), hAPP(c_COMBC(_u8168, _u8169, _u8167), _u8170))), _u8172)), _u8171)) )).
% 20.36/20.61 cnf(matrix-4642, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u8173, _u8174, _u8175) | c_Finite__Set_Ofun__left__comm__idem(_u8176, _u8174, hAPP(hAPP(c_COMBB(_u8173, tc_fun(_u8174, _u8174), _u8176), _u8175), _u8177)) )).
% 20.36/20.61 cnf(matrix-4643, plain, ( ~class_Fields_Ofield(_u8178) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8178), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8179, _u8178), _u8180), _u8181)), _u8182) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8179, _u8178), hAPP(hAPP(c_COMBC(_u8179, _u8178, _u8178), hAPP(hAPP(c_COMBB(_u8178, tc_fun(_u8178, _u8178), _u8179), c_Rings_Oinverse__class_Odivide(_u8178)), _u8180)), _u8182)), _u8181)) )).
% 20.36/20.61 cnf(matrix-4644, plain, ( ( hAPP(c_Finite__Set_Ofold__image(_u8183, _u8184, _u8185), _u8186) = c_Finite__Set_Ofold(_u8184, _u8183, hAPP(hAPP(c_COMBB(_u8183, tc_fun(_u8183, _u8183), _u8184), _u8185), _u8186))) )).
% 20.36/20.61 cnf(matrix-4645, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8187, tc_Nat_Onat), _u8188), _u8189)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8187, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u8187), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8188)), _u8189)) )).
% 20.36/20.61 cnf(matrix-4646, plain, ( ~class_Groups_Ocomm__monoid__add(_u8190) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8191, _u8190), hAPP(c_COMBK(_u8190, _u8191), c_Groups_Ozero__class_Ozero(_u8190))), _u8192) = c_Groups_Ozero__class_Ozero(_u8190)) )).
% 20.36/20.61 cnf(matrix-4647, plain, ( ~class_Groups_Ominus(_u8193) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8194, _u8193)), _u8195), _u8196), _u8197) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8193), hAPP(_u8195, _u8197)), hAPP(_u8196, _u8197))) )).
% 20.36/20.61 cnf(matrix-4648, plain, ( ~class_Groups_Oab__group__add(_u8198) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8199, _u8198), hAPP(hAPP(c_COMBS(_u8199, _u8198, _u8198), hAPP(hAPP(c_COMBB(_u8198, tc_fun(_u8198, _u8198), _u8199), c_Groups_Ominus__class_Ominus(_u8198)), _u8200)), _u8201)), _u8202) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8198), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8199, _u8198), _u8200), _u8202)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8199, _u8198), _u8201), _u8202))) )).
% 20.36/20.61 cnf(matrix-4649, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8203) | ~class_Rings_Oring__1(_u8203) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8203), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8204, tc_Int_Oint), _u8205), _u8206)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8204, _u8203), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u8203, _u8204), c_Int_Oring__1__class_Oof__int(_u8203)), _u8205)), _u8206)) )).
% 20.36/20.61 cnf(matrix-4650, plain, ( ~class_Rings_Oring__1(_u8207) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8207), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8208, tc_Int_Oint), _u8209), _u8210)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8208, _u8207), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u8207, _u8208), c_Int_Oring__1__class_Oof__int(_u8207)), _u8209)), _u8210)) )).
% 20.36/20.61 cnf(matrix-4651, plain, ( ~class_Groups_Ocomm__monoid__add(_u8211) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8212, _u8211), hAPP(hAPP(c_COMBS(_u8212, _u8211, _u8211), hAPP(hAPP(c_COMBB(_u8211, tc_fun(_u8211, _u8211), _u8212), c_Groups_Oplus__class_Oplus(_u8211)), _u8213)), _u8214)), _u8215) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8211), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8212, _u8211), _u8213), _u8215)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8212, _u8211), _u8214), _u8215))) )).
% 20.36/20.61 cnf(matrix-4652, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8220, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u8220, tc_fun(_u8220, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8220)), _u8222)), hAPP(hAPP(c_COMBC(_u8220, tc_fun(_u8220, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8220)), _u8224)), _u8226)) | hBOOL(hAPP(hAPP(c_member(_u8220), _u8226), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8220, tc_HOL_Obool)), _u8222), _u8224))) )).
% 20.36/20.61 cnf(matrix-4653, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8221), _u8227), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8221, tc_HOL_Obool)), _u8223), _u8225))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8221, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u8221, tc_fun(_u8221, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8221)), _u8223)), hAPP(hAPP(c_COMBC(_u8221, tc_fun(_u8221, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8221)), _u8225)), _u8227)) )).
% 20.36/20.61 cnf(matrix-4654, plain, ( ( _u8233 = _u8235) | ( hAPP(hAPP(c_COMBC(_u8231, tc_fun(_u8231, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8231)), _u8233) != hAPP(hAPP(c_COMBC(_u8231, tc_fun(_u8231, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8231)), _u8235)) )).
% 20.36/20.61 cnf(matrix-4655, plain, ( ( _u8234 != _u8236) | ( hAPP(hAPP(c_COMBC(_u8232, tc_fun(_u8232, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8232)), _u8234) = hAPP(hAPP(c_COMBC(_u8232, tc_fun(_u8232, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8232)), _u8236)) )).
% 20.36/20.61 cnf(matrix-4656, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8240, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u8240, tc_fun(_u8240, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8240)), _u8242)), hAPP(hAPP(c_COMBC(_u8240, tc_fun(_u8240, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8240)), _u8244))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8240, tc_HOL_Obool)), _u8242), _u8244)) )).
% 20.36/20.61 cnf(matrix-4657, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8241, tc_HOL_Obool)), _u8243), _u8245)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8241, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u8241, tc_fun(_u8241, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8241)), _u8243)), hAPP(hAPP(c_COMBC(_u8241, tc_fun(_u8241, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8241)), _u8245))) )).
% 20.36/20.61 cnf(matrix-4658, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8250, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u8250, tc_fun(_u8250, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8250)), _u8252)), hAPP(hAPP(c_COMBC(_u8250, tc_fun(_u8250, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8250)), _u8254)), _u8256)) | hBOOL(hAPP(hAPP(c_member(_u8250), _u8256), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8250, tc_HOL_Obool)), _u8252), _u8254))) )).
% 20.36/20.61 cnf(matrix-4659, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8251), _u8257), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8251, tc_HOL_Obool)), _u8253), _u8255))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8251, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u8251, tc_fun(_u8251, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8251)), _u8253)), hAPP(hAPP(c_COMBC(_u8251, tc_fun(_u8251, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8251)), _u8255)), _u8257)) )).
% 20.36/20.61 cnf(matrix-4660, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8264, tc_fun(_u8266, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u8264, tc_fun(tc_prod(_u8264, _u8266), tc_HOL_Obool), tc_fun(_u8266, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8266, tc_fun(tc_fun(tc_prod(_u8264, _u8266), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8264, _u8266), tc_HOL_Obool), tc_fun(_u8266, tc_HOL_Obool)), _u8264), c_COMBC(_u8266, tc_fun(tc_prod(_u8264, _u8266), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8266, tc_prod(_u8264, _u8266)), tc_fun(_u8266, tc_fun(tc_fun(tc_prod(_u8264, _u8266), tc_HOL_Obool), tc_HOL_Obool)), _u8264), hAPP(c_COMBB(tc_prod(_u8264, _u8266), tc_fun(tc_fun(tc_prod(_u8264, _u8266), tc_HOL_Obool), tc_HOL_Obool), _u8266), c_member(tc_prod(_u8264, _u8266)))), c_Product__Type_OPair(_u8264, _u8266)))), _u8268)), hAPP(hAPP(c_COMBC(_u8264, tc_fun(tc_prod(_u8264, _u8266), tc_HOL_Obool), tc_fun(_u8266, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8266, tc_fun(tc_fun(tc_prod(_u8264, _u8266), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8264, _u8266), tc_HOL_Obool), tc_fun(_u8266, tc_HOL_Obool)), _u8264), c_COMBC(_u8266, tc_fun(tc_prod(_u8264, _u8266), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8266, tc_prod(_u8264, _u8266)), tc_fun(_u8266, tc_fun(tc_fun(tc_prod(_u8264, _u8266), tc_HOL_Obool), tc_HOL_Obool)), _u8264), hAPP(c_COMBB(tc_prod(_u8264, _u8266), tc_fun(tc_fun(tc_prod(_u8264, _u8266), tc_HOL_Obool), tc_HOL_Obool), _u8266), c_member(tc_prod(_u8264, _u8266)))), c_Product__Type_OPair(_u8264, _u8266)))), _u8270)), _u8272), _u8274)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8264, _u8266)), hAPP(hAPP(c_Product__Type_OPair(_u8264, _u8266), _u8272), _u8274)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u8264, _u8266), tc_HOL_Obool)), _u8268), _u8270))) )).
% 20.36/20.61 cnf(matrix-4661, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8265, _u8267)), hAPP(hAPP(c_Product__Type_OPair(_u8265, _u8267), _u8273), _u8275)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u8265, _u8267), tc_HOL_Obool)), _u8269), _u8271))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8265, tc_fun(_u8267, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u8265, tc_fun(tc_prod(_u8265, _u8267), tc_HOL_Obool), tc_fun(_u8267, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8267, tc_fun(tc_fun(tc_prod(_u8265, _u8267), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8265, _u8267), tc_HOL_Obool), tc_fun(_u8267, tc_HOL_Obool)), _u8265), c_COMBC(_u8267, tc_fun(tc_prod(_u8265, _u8267), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8267, tc_prod(_u8265, _u8267)), tc_fun(_u8267, tc_fun(tc_fun(tc_prod(_u8265, _u8267), tc_HOL_Obool), tc_HOL_Obool)), _u8265), hAPP(c_COMBB(tc_prod(_u8265, _u8267), tc_fun(tc_fun(tc_prod(_u8265, _u8267), tc_HOL_Obool), tc_HOL_Obool), _u8267), c_member(tc_prod(_u8265, _u8267)))), c_Product__Type_OPair(_u8265, _u8267)))), _u8269)), hAPP(hAPP(c_COMBC(_u8265, tc_fun(tc_prod(_u8265, _u8267), tc_HOL_Obool), tc_fun(_u8267, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8267, tc_fun(tc_fun(tc_prod(_u8265, _u8267), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8265, _u8267), tc_HOL_Obool), tc_fun(_u8267, tc_HOL_Obool)), _u8265), c_COMBC(_u8267, tc_fun(tc_prod(_u8265, _u8267), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8267, tc_prod(_u8265, _u8267)), tc_fun(_u8267, tc_fun(tc_fun(tc_prod(_u8265, _u8267), tc_HOL_Obool), tc_HOL_Obool)), _u8265), hAPP(c_COMBB(tc_prod(_u8265, _u8267), tc_fun(tc_fun(tc_prod(_u8265, _u8267), tc_HOL_Obool), tc_HOL_Obool), _u8267), c_member(tc_prod(_u8265, _u8267)))), c_Product__Type_OPair(_u8265, _u8267)))), _u8271)), _u8273), _u8275)) )).
% 20.36/20.61 cnf(matrix-4662, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8282, tc_fun(_u8284, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u8282, tc_fun(tc_prod(_u8282, _u8284), tc_HOL_Obool), tc_fun(_u8284, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8284, tc_fun(tc_fun(tc_prod(_u8282, _u8284), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8282, _u8284), tc_HOL_Obool), tc_fun(_u8284, tc_HOL_Obool)), _u8282), c_COMBC(_u8284, tc_fun(tc_prod(_u8282, _u8284), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8284, tc_prod(_u8282, _u8284)), tc_fun(_u8284, tc_fun(tc_fun(tc_prod(_u8282, _u8284), tc_HOL_Obool), tc_HOL_Obool)), _u8282), hAPP(c_COMBB(tc_prod(_u8282, _u8284), tc_fun(tc_fun(tc_prod(_u8282, _u8284), tc_HOL_Obool), tc_HOL_Obool), _u8284), c_member(tc_prod(_u8282, _u8284)))), c_Product__Type_OPair(_u8282, _u8284)))), _u8286)), hAPP(hAPP(c_COMBC(_u8282, tc_fun(tc_prod(_u8282, _u8284), tc_HOL_Obool), tc_fun(_u8284, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8284, tc_fun(tc_fun(tc_prod(_u8282, _u8284), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8282, _u8284), tc_HOL_Obool), tc_fun(_u8284, tc_HOL_Obool)), _u8282), c_COMBC(_u8284, tc_fun(tc_prod(_u8282, _u8284), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8284, tc_prod(_u8282, _u8284)), tc_fun(_u8284, tc_fun(tc_fun(tc_prod(_u8282, _u8284), tc_HOL_Obool), tc_HOL_Obool)), _u8282), hAPP(c_COMBB(tc_prod(_u8282, _u8284), tc_fun(tc_fun(tc_prod(_u8282, _u8284), tc_HOL_Obool), tc_HOL_Obool), _u8284), c_member(tc_prod(_u8282, _u8284)))), c_Product__Type_OPair(_u8282, _u8284)))), _u8288)), _u8290), _u8292)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8282, _u8284)), hAPP(hAPP(c_Product__Type_OPair(_u8282, _u8284), _u8290), _u8292)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u8282, _u8284), tc_HOL_Obool)), _u8286), _u8288))) )).
% 20.36/20.61 cnf(matrix-4663, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8283, _u8285)), hAPP(hAPP(c_Product__Type_OPair(_u8283, _u8285), _u8291), _u8293)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u8283, _u8285), tc_HOL_Obool)), _u8287), _u8289))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8283, tc_fun(_u8285, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u8283, tc_fun(tc_prod(_u8283, _u8285), tc_HOL_Obool), tc_fun(_u8285, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8285, tc_fun(tc_fun(tc_prod(_u8283, _u8285), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8283, _u8285), tc_HOL_Obool), tc_fun(_u8285, tc_HOL_Obool)), _u8283), c_COMBC(_u8285, tc_fun(tc_prod(_u8283, _u8285), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8285, tc_prod(_u8283, _u8285)), tc_fun(_u8285, tc_fun(tc_fun(tc_prod(_u8283, _u8285), tc_HOL_Obool), tc_HOL_Obool)), _u8283), hAPP(c_COMBB(tc_prod(_u8283, _u8285), tc_fun(tc_fun(tc_prod(_u8283, _u8285), tc_HOL_Obool), tc_HOL_Obool), _u8285), c_member(tc_prod(_u8283, _u8285)))), c_Product__Type_OPair(_u8283, _u8285)))), _u8287)), hAPP(hAPP(c_COMBC(_u8283, tc_fun(tc_prod(_u8283, _u8285), tc_HOL_Obool), tc_fun(_u8285, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8285, tc_fun(tc_fun(tc_prod(_u8283, _u8285), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8283, _u8285), tc_HOL_Obool), tc_fun(_u8285, tc_HOL_Obool)), _u8283), c_COMBC(_u8285, tc_fun(tc_prod(_u8283, _u8285), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8285, tc_prod(_u8283, _u8285)), tc_fun(_u8285, tc_fun(tc_fun(tc_prod(_u8283, _u8285), tc_HOL_Obool), tc_HOL_Obool)), _u8283), hAPP(c_COMBB(tc_prod(_u8283, _u8285), tc_fun(tc_fun(tc_prod(_u8283, _u8285), tc_HOL_Obool), tc_HOL_Obool), _u8285), c_member(tc_prod(_u8283, _u8285)))), c_Product__Type_OPair(_u8283, _u8285)))), _u8289)), _u8291), _u8293)) )).
% 20.36/20.61 cnf(matrix-4664, plain, ( ( _u8302 = _u8304) | ( hAPP(hAPP(c_COMBC(_u8298, tc_fun(tc_prod(_u8298, _u8300), tc_HOL_Obool), tc_fun(_u8300, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8300, tc_fun(tc_fun(tc_prod(_u8298, _u8300), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8298, _u8300), tc_HOL_Obool), tc_fun(_u8300, tc_HOL_Obool)), _u8298), c_COMBC(_u8300, tc_fun(tc_prod(_u8298, _u8300), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8300, tc_prod(_u8298, _u8300)), tc_fun(_u8300, tc_fun(tc_fun(tc_prod(_u8298, _u8300), tc_HOL_Obool), tc_HOL_Obool)), _u8298), hAPP(c_COMBB(tc_prod(_u8298, _u8300), tc_fun(tc_fun(tc_prod(_u8298, _u8300), tc_HOL_Obool), tc_HOL_Obool), _u8300), c_member(tc_prod(_u8298, _u8300)))), c_Product__Type_OPair(_u8298, _u8300)))), _u8302) != hAPP(hAPP(c_COMBC(_u8298, tc_fun(tc_prod(_u8298, _u8300), tc_HOL_Obool), tc_fun(_u8300, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8300, tc_fun(tc_fun(tc_prod(_u8298, _u8300), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8298, _u8300), tc_HOL_Obool), tc_fun(_u8300, tc_HOL_Obool)), _u8298), c_COMBC(_u8300, tc_fun(tc_prod(_u8298, _u8300), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8300, tc_prod(_u8298, _u8300)), tc_fun(_u8300, tc_fun(tc_fun(tc_prod(_u8298, _u8300), tc_HOL_Obool), tc_HOL_Obool)), _u8298), hAPP(c_COMBB(tc_prod(_u8298, _u8300), tc_fun(tc_fun(tc_prod(_u8298, _u8300), tc_HOL_Obool), tc_HOL_Obool), _u8300), c_member(tc_prod(_u8298, _u8300)))), c_Product__Type_OPair(_u8298, _u8300)))), _u8304)) )).
% 20.36/20.61 cnf(matrix-4665, plain, ( ( _u8303 != _u8305) | ( hAPP(hAPP(c_COMBC(_u8299, tc_fun(tc_prod(_u8299, _u8301), tc_HOL_Obool), tc_fun(_u8301, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8301, tc_fun(tc_fun(tc_prod(_u8299, _u8301), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8299, _u8301), tc_HOL_Obool), tc_fun(_u8301, tc_HOL_Obool)), _u8299), c_COMBC(_u8301, tc_fun(tc_prod(_u8299, _u8301), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8301, tc_prod(_u8299, _u8301)), tc_fun(_u8301, tc_fun(tc_fun(tc_prod(_u8299, _u8301), tc_HOL_Obool), tc_HOL_Obool)), _u8299), hAPP(c_COMBB(tc_prod(_u8299, _u8301), tc_fun(tc_fun(tc_prod(_u8299, _u8301), tc_HOL_Obool), tc_HOL_Obool), _u8301), c_member(tc_prod(_u8299, _u8301)))), c_Product__Type_OPair(_u8299, _u8301)))), _u8303) = hAPP(hAPP(c_COMBC(_u8299, tc_fun(tc_prod(_u8299, _u8301), tc_HOL_Obool), tc_fun(_u8301, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8301, tc_fun(tc_fun(tc_prod(_u8299, _u8301), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8299, _u8301), tc_HOL_Obool), tc_fun(_u8301, tc_HOL_Obool)), _u8299), c_COMBC(_u8301, tc_fun(tc_prod(_u8299, _u8301), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8301, tc_prod(_u8299, _u8301)), tc_fun(_u8301, tc_fun(tc_fun(tc_prod(_u8299, _u8301), tc_HOL_Obool), tc_HOL_Obool)), _u8299), hAPP(c_COMBB(tc_prod(_u8299, _u8301), tc_fun(tc_fun(tc_prod(_u8299, _u8301), tc_HOL_Obool), tc_HOL_Obool), _u8301), c_member(tc_prod(_u8299, _u8301)))), c_Product__Type_OPair(_u8299, _u8301)))), _u8305)) )).
% 20.36/20.61 cnf(matrix-4666, plain, ( ( hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8306) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8306))) )).
% 20.36/20.61 cnf(matrix-4667, plain, ( ~class_Lattices_Olattice(_u8307) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8308, _u8307)), _u8309), _u8310), _u8311) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8307), hAPP(_u8309, _u8311)), hAPP(_u8310, _u8311))) )).
% 20.36/20.61 cnf(matrix-4668, plain, ( ~class_Orderings_Obot(_u8312) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u8313, _u8312)), _u8314) = c_Orderings_Obot__class_Obot(_u8312)) )).
% 20.36/20.61 cnf(matrix-4669, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u8319, tc_fun(_u8321, tc_HOL_Obool))), _u8323), _u8325)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8319, _u8321)), hAPP(hAPP(c_Product__Type_OPair(_u8319, _u8321), _u8323), _u8325)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u8319, _u8321), tc_HOL_Obool)))) )).
% 20.36/20.61 cnf(matrix-4670, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8320, _u8322)), hAPP(hAPP(c_Product__Type_OPair(_u8320, _u8322), _u8324), _u8326)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u8320, _u8322), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u8320, tc_fun(_u8322, tc_HOL_Obool))), _u8324), _u8326)) )).
% 20.36/20.61 cnf(matrix-4671, plain, ( ~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u8329, tc_HOL_Obool)), _u8331)) | hBOOL(hAPP(hAPP(c_member(_u8329), _u8331), c_Orderings_Obot__class_Obot(tc_fun(_u8329, tc_HOL_Obool)))) )).
% 20.36/20.61 cnf(matrix-4672, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8330), _u8332), c_Orderings_Obot__class_Obot(tc_fun(_u8330, tc_HOL_Obool)))) | hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u8330, tc_HOL_Obool)), _u8332)) )).
% 20.36/20.61 cnf(matrix-4673, plain, ( ~class_Rings_Osemiring__1(_u8333) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8333), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8334, tc_Nat_Onat), _u8335), _u8336)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8334, _u8333), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u8333, _u8334), c_Nat_Osemiring__1__class_Oof__nat(_u8333)), _u8335)), _u8336)) )).
% 20.36/20.61 cnf(matrix-4674, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8337, tc_Nat_Onat), _u8338), _u8339) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8337, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u8337), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8338)), _u8339))) )).
% 20.36/20.61 cnf(matrix-4675, plain, ( ( hAPP(c_Finite__Set_Ocard(_u8340), _u8341) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8340, tc_Nat_Onat), hAPP(c_COMBK(tc_Nat_Onat, _u8340), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u8341)) )).
% 20.36/20.61 cnf(matrix-4676, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8342) | ~class_Rings_Osemiring__1(_u8342) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8342), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8343, tc_Nat_Onat), _u8344), _u8345)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8343, _u8342), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u8342, _u8343), c_Nat_Osemiring__1__class_Oof__nat(_u8342)), _u8344)), _u8345)) )).
% 20.36/20.61 cnf(matrix-4677, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8346, tc_Nat_Onat), _u8347), _u8348) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8346, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u8346), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8347)), _u8348))) )).
% 20.36/20.61 cnf(matrix-4678, plain, ( ~class_Groups_Ocomm__monoid__add(_u8349) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8350), _u8351)) | ~hBOOL(hAPP(hAPP(c_member(_u8350), _u8352), _u8351)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8350, _u8349), hAPP(hAPP(c_COMBC(_u8350, _u8349, _u8349), hAPP(hAPP(c_COMBS(_u8350, _u8349, tc_fun(_u8349, _u8349)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8349, tc_fun(_u8349, _u8349)), _u8350), c_If(_u8349)), hAPP(c_fequal, _u8352))), _u8353)), c_Groups_Ozero__class_Ozero(_u8349))), _u8351) = hAPP(_u8353, _u8352)) )).
% 20.36/20.61 cnf(matrix-4679, plain, ( ~class_Groups_Ocomm__monoid__add(_u8349) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8350), _u8351)) | hBOOL(hAPP(hAPP(c_member(_u8350), _u8352), _u8351)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8350, _u8349), hAPP(hAPP(c_COMBC(_u8350, _u8349, _u8349), hAPP(hAPP(c_COMBS(_u8350, _u8349, tc_fun(_u8349, _u8349)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8349, tc_fun(_u8349, _u8349)), _u8350), c_If(_u8349)), hAPP(c_fequal, _u8352))), _u8353)), c_Groups_Ozero__class_Ozero(_u8349))), _u8351) = c_Groups_Ozero__class_Ozero(_u8349)) )).
% 20.36/20.61 cnf(matrix-4680, plain, ( ~class_Groups_Ocomm__monoid__add(_u8354) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8355), _u8356)) | ~hBOOL(hAPP(hAPP(c_member(_u8355), _u8357), _u8356)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8355, _u8354), hAPP(hAPP(c_COMBC(_u8355, _u8354, _u8354), hAPP(hAPP(c_COMBS(_u8355, _u8354, tc_fun(_u8354, _u8354)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8354, tc_fun(_u8354, _u8354)), _u8355), c_If(_u8354)), hAPP(hAPP(c_COMBC(_u8355, _u8355, tc_HOL_Obool), c_fequal), _u8357))), _u8358)), c_Groups_Ozero__class_Ozero(_u8354))), _u8356) = hAPP(_u8358, _u8357)) )).
% 20.36/20.61 cnf(matrix-4681, plain, ( ~class_Groups_Ocomm__monoid__add(_u8354) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8355), _u8356)) | hBOOL(hAPP(hAPP(c_member(_u8355), _u8357), _u8356)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8355, _u8354), hAPP(hAPP(c_COMBC(_u8355, _u8354, _u8354), hAPP(hAPP(c_COMBS(_u8355, _u8354, tc_fun(_u8354, _u8354)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8354, tc_fun(_u8354, _u8354)), _u8355), c_If(_u8354)), hAPP(hAPP(c_COMBC(_u8355, _u8355, tc_HOL_Obool), c_fequal), _u8357))), _u8358)), c_Groups_Ozero__class_Ozero(_u8354))), _u8356) = c_Groups_Ozero__class_Ozero(_u8354)) )).
% 20.36/20.61 cnf(matrix-4682, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8359) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8360), _u8361)) | ~hBOOL(hAPP(hAPP(c_member(_u8360), _u8362), _u8361)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8360, _u8359), hAPP(hAPP(c_COMBC(_u8360, _u8359, _u8359), hAPP(hAPP(c_COMBS(_u8360, _u8359, tc_fun(_u8359, _u8359)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8359, tc_fun(_u8359, _u8359)), _u8360), c_If(_u8359)), hAPP(c_fequal, _u8362))), _u8363)), c_Groups_Oone__class_Oone(_u8359))), _u8361) = hAPP(_u8363, _u8362)) )).
% 20.36/20.61 cnf(matrix-4683, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8359) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8360), _u8361)) | hBOOL(hAPP(hAPP(c_member(_u8360), _u8362), _u8361)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8360, _u8359), hAPP(hAPP(c_COMBC(_u8360, _u8359, _u8359), hAPP(hAPP(c_COMBS(_u8360, _u8359, tc_fun(_u8359, _u8359)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8359, tc_fun(_u8359, _u8359)), _u8360), c_If(_u8359)), hAPP(c_fequal, _u8362))), _u8363)), c_Groups_Oone__class_Oone(_u8359))), _u8361) = c_Groups_Oone__class_Oone(_u8359)) )).
% 20.36/20.61 cnf(matrix-4684, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8364) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8365), _u8366)) | ~hBOOL(hAPP(hAPP(c_member(_u8365), _u8367), _u8366)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8365, _u8364), hAPP(hAPP(c_COMBC(_u8365, _u8364, _u8364), hAPP(hAPP(c_COMBS(_u8365, _u8364, tc_fun(_u8364, _u8364)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8364, tc_fun(_u8364, _u8364)), _u8365), c_If(_u8364)), hAPP(hAPP(c_COMBC(_u8365, _u8365, tc_HOL_Obool), c_fequal), _u8367))), _u8368)), c_Groups_Oone__class_Oone(_u8364))), _u8366) = hAPP(_u8368, _u8367)) )).
% 20.36/20.61 cnf(matrix-4685, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8364) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8365), _u8366)) | hBOOL(hAPP(hAPP(c_member(_u8365), _u8367), _u8366)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8365, _u8364), hAPP(hAPP(c_COMBC(_u8365, _u8364, _u8364), hAPP(hAPP(c_COMBS(_u8365, _u8364, tc_fun(_u8364, _u8364)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8364, tc_fun(_u8364, _u8364)), _u8365), c_If(_u8364)), hAPP(hAPP(c_COMBC(_u8365, _u8365, tc_HOL_Obool), c_fequal), _u8367))), _u8368)), c_Groups_Oone__class_Oone(_u8364))), _u8366) = c_Groups_Oone__class_Oone(_u8364)) )).
% 20.36/20.61 cnf(matrix-4686, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8373), _u8375), _u8377)) | ( hAPP(c_Set_Ovimage(_u8379, _u8373, hAPP(c_COMBK(_u8373, _u8379), _u8375)), _u8377) = c_Orderings_Otop__class_Otop(tc_fun(_u8379, tc_HOL_Obool))) )).
% 20.36/20.61 cnf(matrix-4687, plain, ( hBOOL(hAPP(hAPP(c_member(_u8374), _u8376), _u8378)) | ( hAPP(c_Set_Ovimage(_u8380, _u8374, hAPP(c_COMBK(_u8374, _u8380), _u8376)), _u8378) = c_Orderings_Obot__class_Obot(tc_fun(_u8380, tc_HOL_Obool))) )).
% 20.36/20.61 cnf(matrix-4688, plain, ( ~class_Rings_Osemiring__1(_u8381) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8382, _u8381), hAPP(c_COMBK(_u8381, _u8382), _u8383)), _u8384) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8381), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8381), hAPP(c_Finite__Set_Ocard(_u8382), _u8384))), _u8383)) )).
% 20.36/20.61 cnf(matrix-4689, plain, ( ~class_Int_Onumber__ring(_u8385) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8385), _u8386), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u8387))) = hAPP(hAPP(c_HOL_OLet(_u8385, _u8385), hAPP(hAPP(c_Power_Opower__class_Opower(_u8385), _u8386), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8387))), hAPP(hAPP(c_COMBS(_u8385, _u8385, _u8385), c_Groups_Otimes__class_Otimes(_u8385)), c_COMBI(_u8385)))) )).
% 20.36/20.61 cnf(matrix-4690, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8388) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8389), _u8390)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u8388, _u8389, c_Groups_Otimes__class_Otimes(_u8388)), hAPP(hAPP(c_COMBS(_u8389, _u8388, _u8388), hAPP(hAPP(c_COMBB(_u8388, tc_fun(_u8388, _u8388), _u8389), c_Groups_Otimes__class_Otimes(_u8388)), _u8391)), _u8392)), c_Groups_Oone__class_Oone(_u8388)), _u8390) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8388), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u8388, _u8389, c_Groups_Otimes__class_Otimes(_u8388)), _u8391), c_Groups_Oone__class_Oone(_u8388)), _u8390)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u8388, _u8389, c_Groups_Otimes__class_Otimes(_u8388)), _u8392), c_Groups_Oone__class_Oone(_u8388)), _u8390))) )).
% 20.36/20.61 cnf(matrix-4691, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8393) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8394), _u8395)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8394, _u8393), hAPP(c_COMBK(_u8393, _u8394), _u8396)), _u8395) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8393), _u8396), hAPP(c_Finite__Set_Ocard(_u8394), _u8395))) )).
% 20.36/20.61 cnf(matrix-4692, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8397), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u8398))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8397), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8398))), 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)))) )).
% 20.36/20.61 cnf(matrix-4693, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8403, tc_fun(_u8405, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u8403, tc_fun(tc_prod(_u8403, _u8405), tc_HOL_Obool), tc_fun(_u8405, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8405, tc_fun(tc_fun(tc_prod(_u8403, _u8405), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8403, _u8405), tc_HOL_Obool), tc_fun(_u8405, tc_HOL_Obool)), _u8403), c_COMBC(_u8405, tc_fun(tc_prod(_u8403, _u8405), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8405, tc_prod(_u8403, _u8405)), tc_fun(_u8405, tc_fun(tc_fun(tc_prod(_u8403, _u8405), tc_HOL_Obool), tc_HOL_Obool)), _u8403), hAPP(c_COMBB(tc_prod(_u8403, _u8405), tc_fun(tc_fun(tc_prod(_u8403, _u8405), tc_HOL_Obool), tc_HOL_Obool), _u8405), c_member(tc_prod(_u8403, _u8405)))), c_Product__Type_OPair(_u8403, _u8405)))), _u8407)), hAPP(hAPP(c_COMBC(_u8403, tc_fun(tc_prod(_u8403, _u8405), tc_HOL_Obool), tc_fun(_u8405, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8405, tc_fun(tc_fun(tc_prod(_u8403, _u8405), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8403, _u8405), tc_HOL_Obool), tc_fun(_u8405, tc_HOL_Obool)), _u8403), c_COMBC(_u8405, tc_fun(tc_prod(_u8403, _u8405), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8405, tc_prod(_u8403, _u8405)), tc_fun(_u8405, tc_fun(tc_fun(tc_prod(_u8403, _u8405), tc_HOL_Obool), tc_HOL_Obool)), _u8403), hAPP(c_COMBB(tc_prod(_u8403, _u8405), tc_fun(tc_fun(tc_prod(_u8403, _u8405), tc_HOL_Obool), tc_HOL_Obool), _u8405), c_member(tc_prod(_u8403, _u8405)))), c_Product__Type_OPair(_u8403, _u8405)))), _u8409))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u8403, _u8405), tc_HOL_Obool)), _u8407), _u8409)) )).
% 20.36/20.61 cnf(matrix-4694, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u8404, _u8406), tc_HOL_Obool)), _u8408), _u8410)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8404, tc_fun(_u8406, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u8404, tc_fun(tc_prod(_u8404, _u8406), tc_HOL_Obool), tc_fun(_u8406, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8406, tc_fun(tc_fun(tc_prod(_u8404, _u8406), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8404, _u8406), tc_HOL_Obool), tc_fun(_u8406, tc_HOL_Obool)), _u8404), c_COMBC(_u8406, tc_fun(tc_prod(_u8404, _u8406), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8406, tc_prod(_u8404, _u8406)), tc_fun(_u8406, tc_fun(tc_fun(tc_prod(_u8404, _u8406), tc_HOL_Obool), tc_HOL_Obool)), _u8404), hAPP(c_COMBB(tc_prod(_u8404, _u8406), tc_fun(tc_fun(tc_prod(_u8404, _u8406), tc_HOL_Obool), tc_HOL_Obool), _u8406), c_member(tc_prod(_u8404, _u8406)))), c_Product__Type_OPair(_u8404, _u8406)))), _u8408)), hAPP(hAPP(c_COMBC(_u8404, tc_fun(tc_prod(_u8404, _u8406), tc_HOL_Obool), tc_fun(_u8406, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8406, tc_fun(tc_fun(tc_prod(_u8404, _u8406), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8404, _u8406), tc_HOL_Obool), tc_fun(_u8406, tc_HOL_Obool)), _u8404), c_COMBC(_u8406, tc_fun(tc_prod(_u8404, _u8406), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8406, tc_prod(_u8404, _u8406)), tc_fun(_u8406, tc_fun(tc_fun(tc_prod(_u8404, _u8406), tc_HOL_Obool), tc_HOL_Obool)), _u8404), hAPP(c_COMBB(tc_prod(_u8404, _u8406), tc_fun(tc_fun(tc_prod(_u8404, _u8406), tc_HOL_Obool), tc_HOL_Obool), _u8406), c_member(tc_prod(_u8404, _u8406)))), c_Product__Type_OPair(_u8404, _u8406)))), _u8410))) )).
% 20.36/20.61 cnf(matrix-4695, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u8411, _u8412, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u8411)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u8411), hAPP(c_COMBK(tc_fun(tc_Com_Ostate, tc_HOL_Obool), _u8411), hAPP(c_COMBK(tc_HOL_Obool, tc_Com_Ostate), c_fFalse))), _u8413), _u8414)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u8411), tc_HOL_Obool)))) )).
% 20.36/20.61 cnf(matrix-4696, plain, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u8418, hAPP(hAPP(c_COMBC(_u8418, tc_fun(_u8418, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8418)), _u8420)), _u8422)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u8418, tc_HOL_Obool)), _u8422), hAPP(c_Set_OPow(_u8418), _u8420))) )).
% 20.36/20.61 cnf(matrix-4697, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u8419, tc_HOL_Obool)), _u8423), hAPP(c_Set_OPow(_u8419), _u8421))) | hBOOL(hAPP(c_Predicate_OPowp(_u8419, hAPP(hAPP(c_COMBC(_u8419, tc_fun(_u8419, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8419)), _u8421)), _u8423)) )).
% 20.36/20.61 cnf(matrix-4698, plain, ( ~class_Groups_Ocomm__monoid__add(_u8424) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8425), _u8426)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8425, _u8424), _u8427), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8425, tc_HOL_Obool)), _u8426), _u8428)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8425, _u8424), hAPP(hAPP(c_COMBC(_u8425, _u8424, _u8424), hAPP(hAPP(c_COMBS(_u8425, _u8424, tc_fun(_u8424, _u8424)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8424, tc_fun(_u8424, _u8424)), _u8425), c_If(_u8424)), hAPP(hAPP(c_COMBC(_u8425, tc_fun(_u8425, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8425)), _u8428))), _u8427)), c_Groups_Ozero__class_Ozero(_u8424))), _u8426)) )).
% 20.36/20.61 cnf(matrix-4699, plain, ( ~class_Int_Onumber__ring(_u8429) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8429), hAPP(c_Int_Onumber__class_Onumber__of(_u8429), _u8430)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u8431))) = hAPP(hAPP(c_HOL_OLet(_u8429, _u8429), hAPP(hAPP(c_Power_Opower__class_Opower(_u8429), hAPP(c_Int_Onumber__class_Onumber__of(_u8429), _u8430)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8431))), hAPP(hAPP(c_COMBS(_u8429, _u8429, _u8429), c_Groups_Otimes__class_Otimes(_u8429)), c_COMBI(_u8429)))) )).
% 20.36/20.61 cnf(matrix-4700, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8432), _u8433)) | ( hAPP(c_Finite__Set_Ocard(_u8432), _u8433) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u8432, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u8432), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8433)) )).
% 20.36/20.61 cnf(matrix-4701, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8436), _u8438)) | ( hAPP(c_Finite__Set_Ocard(_u8436), _u8438) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u8436, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u8436), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8438)) )).
% 20.36/20.61 cnf(matrix-4702, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u8437), _u8439)) | ( hAPP(c_Finite__Set_Ocard(_u8437), _u8439) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-4703, plain, ( c_Finite__Set_Ofun__left__comm__idem(_u8440, tc_fun(_u8440, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u8440, tc_HOL_Obool), tc_fun(tc_fun(_u8440, tc_HOL_Obool), tc_fun(_u8440, tc_HOL_Obool)), _u8440), hAPP(c_COMBC(tc_fun(_u8440, tc_HOL_Obool), tc_fun(_u8440, tc_HOL_Obool), tc_fun(_u8440, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u8440, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u8440, tc_fun(_u8440, tc_HOL_Obool), tc_fun(_u8440, tc_HOL_Obool)), c_Set_Oinsert(_u8440)), c_Orderings_Obot__class_Obot(tc_fun(_u8440, tc_HOL_Obool))))) )).
% 20.36/20.61 cnf(matrix-4704, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8447), _u8449), _u8451)) | ~hBOOL(hAPP(hAPP(c_member(_u8447), _u8453), _u8451)) | ( hAPP(c_Set_Ovimage(_u8455, _u8447, hAPP(hAPP(c_COMBC(_u8455, _u8447, _u8447), hAPP(hAPP(c_COMBC(_u8455, _u8447, tc_fun(_u8447, _u8447)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8447, tc_fun(_u8447, _u8447)), _u8455), c_If(_u8447)), hAPP(hAPP(c_COMBC(_u8455, tc_fun(_u8455, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8455)), _u8457))), _u8449)), _u8453)), _u8451) = c_Orderings_Otop__class_Otop(tc_fun(_u8455, tc_HOL_Obool))) )).
% 20.36/20.61 cnf(matrix-4705, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8447), _u8449), _u8451)) | hBOOL(hAPP(hAPP(c_member(_u8447), _u8453), _u8451)) | ( hAPP(c_Set_Ovimage(_u8455, _u8447, hAPP(hAPP(c_COMBC(_u8455, _u8447, _u8447), hAPP(hAPP(c_COMBC(_u8455, _u8447, tc_fun(_u8447, _u8447)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8447, tc_fun(_u8447, _u8447)), _u8455), c_If(_u8447)), hAPP(hAPP(c_COMBC(_u8455, tc_fun(_u8455, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8455)), _u8457))), _u8449)), _u8453)), _u8451) = _u8457) )).
% 20.36/20.61 cnf(matrix-4706, plain, ( hBOOL(hAPP(hAPP(c_member(_u8448), _u8450), _u8452)) | ~hBOOL(hAPP(hAPP(c_member(_u8448), _u8454), _u8452)) | ( hAPP(c_Set_Ovimage(_u8456, _u8448, hAPP(hAPP(c_COMBC(_u8456, _u8448, _u8448), hAPP(hAPP(c_COMBC(_u8456, _u8448, tc_fun(_u8448, _u8448)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8448, tc_fun(_u8448, _u8448)), _u8456), c_If(_u8448)), hAPP(hAPP(c_COMBC(_u8456, tc_fun(_u8456, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8456)), _u8458))), _u8450)), _u8454)), _u8452) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8456, tc_HOL_Obool)), _u8458)) )).
% 20.36/20.61 cnf(matrix-4707, plain, ( hBOOL(hAPP(hAPP(c_member(_u8448), _u8450), _u8452)) | hBOOL(hAPP(hAPP(c_member(_u8448), _u8454), _u8452)) | ( hAPP(c_Set_Ovimage(_u8456, _u8448, hAPP(hAPP(c_COMBC(_u8456, _u8448, _u8448), hAPP(hAPP(c_COMBC(_u8456, _u8448, tc_fun(_u8448, _u8448)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8448, tc_fun(_u8448, _u8448)), _u8456), c_If(_u8448)), hAPP(hAPP(c_COMBC(_u8456, tc_fun(_u8456, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8456)), _u8458))), _u8450)), _u8454)), _u8452) = c_Orderings_Obot__class_Obot(tc_fun(_u8456, tc_HOL_Obool))) )).
% 20.36/20.61 cnf(matrix-4708, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u8461)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u8463)), hAPP(c_Int_Onat, _u8461)) = hAPP(c_Int_Onat, _u8463)) )).
% 20.36/20.61 cnf(matrix-4709, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u8462)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u8464)), hAPP(c_Int_Onat, _u8462)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8464), _u8462)), 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))) )).
% 20.36/20.61 cnf(matrix-4710, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u8465, _u8466, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u8465)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u8465), hAPP(hAPP(c_COMBC(_u8465, 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)), _u8465), 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)), _u8465), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Com_Ostate), c_fconj)), _u8467))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate), c_fNot), _u8468))), c_Com_Ocom_OWhile(_u8468, _u8469)), _u8467)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u8465), tc_HOL_Obool)))) )).
% 20.36/20.61 cnf(matrix-4711, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8470), _u8471)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8470, tc_HOL_Obool)), _u8472), _u8471) = hAPP(hAPP(c_Finite__Set_Ofold(_u8470, tc_fun(_u8470, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u8470, tc_HOL_Obool), tc_fun(tc_fun(_u8470, tc_HOL_Obool), tc_fun(_u8470, tc_HOL_Obool)), _u8470), hAPP(c_COMBC(tc_fun(_u8470, tc_HOL_Obool), tc_fun(_u8470, tc_HOL_Obool), tc_fun(_u8470, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u8470, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u8470, tc_fun(_u8470, tc_HOL_Obool), tc_fun(_u8470, tc_HOL_Obool)), c_Set_Oinsert(_u8470)), c_Orderings_Obot__class_Obot(tc_fun(_u8470, tc_HOL_Obool))))), _u8472), _u8471)) )).
% 20.36/20.61 cnf(matrix-4712, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8475) != hAPP(c_Nat_OSuc, _u8477)) | 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(_u8475))), 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)), _u8477))))) )).
% 20.36/20.61 cnf(matrix-4713, 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(_u8476))), 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)), _u8478))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8476) = hAPP(c_Nat_OSuc, _u8478)) )).
% 20.36/20.61 cnf(matrix-4714, plain, ( ( hAPP(c_Nat_OSuc, _u8481) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8483)) | 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(_u8483))), 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)), _u8481))))) )).
% 20.36/20.61 cnf(matrix-4715, 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(_u8484))), 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)), _u8482))))) | ( hAPP(c_Nat_OSuc, _u8482) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8484)) )).
% 20.36/20.61 cnf(matrix-4716, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8486))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u8486)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-4717, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8487))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u8487)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8487)), 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))))) )).
% 20.36/20.61 cnf(matrix-4718, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8490)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8492))) | 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(_u8492))), 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), _u8490)), c_Int_Onat))))) )).
% 20.36/20.61 cnf(matrix-4719, 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(_u8493))), 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), _u8491)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8491)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8493))) )).
% 20.36/20.61 cnf(matrix-4720, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8496)), hAPP(c_Nat_OSuc, _u8498))) | 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(_u8496))), 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)), _u8498)))) )).
% 20.36/20.61 cnf(matrix-4721, 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(_u8497))), 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)), _u8499)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8497)), hAPP(c_Nat_OSuc, _u8499))) )).
% 20.36/20.61 cnf(matrix-4722, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8502)), hAPP(c_Nat_OSuc, _u8504))) | 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(_u8502))), 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)), _u8504)))) )).
% 20.36/20.61 cnf(matrix-4723, 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(_u8503))), 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)), _u8505)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8503)), hAPP(c_Nat_OSuc, _u8505))) )).
% 20.36/20.61 cnf(matrix-4724, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8508)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8510))) | 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(_u8510))), 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), _u8508)), c_Int_Onat))))) )).
% 20.36/20.61 cnf(matrix-4725, 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(_u8511))), 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), _u8509)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8509)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8511))) )).
% 20.36/20.61 cnf(matrix-4726, plain, ( ~class_Int_Onumber__ring(_u8512) | ~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), _u8513))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8512), _u8514), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u8513))) = hAPP(hAPP(c_HOL_OLet(_u8512, _u8512), hAPP(hAPP(c_Power_Opower__class_Opower(_u8512), _u8514), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8513))), hAPP(hAPP(c_COMBS(_u8512, _u8512, _u8512), hAPP(hAPP(c_COMBB(_u8512, tc_fun(_u8512, _u8512), _u8512), c_Groups_Otimes__class_Otimes(_u8512)), hAPP(c_Groups_Otimes__class_Otimes(_u8512), _u8514))), c_COMBI(_u8512)))) )).
% 20.36/20.61 cnf(matrix-4727, plain, ( ~class_Int_Onumber__ring(_u8512) | 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), _u8513))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8512), _u8514), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u8513))) = c_Groups_Oone__class_Oone(_u8512)) )).
% 20.36/20.61 cnf(matrix-4728, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8515) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8516), _u8517)) | ~hBOOL(hAPP(hAPP(c_member(_u8516), _u8518), _u8517)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8516, _u8515), hAPP(hAPP(c_COMBC(_u8516, _u8515, _u8515), hAPP(hAPP(c_COMBS(_u8516, _u8515, tc_fun(_u8515, _u8515)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8515, tc_fun(_u8515, _u8515)), _u8516), c_If(_u8515)), hAPP(hAPP(c_COMBC(_u8516, _u8516, tc_HOL_Obool), c_fequal), _u8518))), _u8519)), _u8520)), _u8517) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8515), hAPP(_u8519, _u8518)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8515), _u8520), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u8516), _u8517)), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 20.36/20.61 cnf(matrix-4729, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8515) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8516), _u8517)) | hBOOL(hAPP(hAPP(c_member(_u8516), _u8518), _u8517)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8516, _u8515), hAPP(hAPP(c_COMBC(_u8516, _u8515, _u8515), hAPP(hAPP(c_COMBS(_u8516, _u8515, tc_fun(_u8515, _u8515)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8515, tc_fun(_u8515, _u8515)), _u8516), c_If(_u8515)), hAPP(hAPP(c_COMBC(_u8516, _u8516, tc_HOL_Obool), c_fequal), _u8518))), _u8519)), _u8520)), _u8517) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8515), _u8520), hAPP(c_Finite__Set_Ocard(_u8516), _u8517))) )).
% 20.36/20.61 cnf(matrix-4730, 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), _u8523))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8525), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u8523))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8525), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8523))), 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), _u8525))), c_COMBI(tc_Int_Oint)))) )).
% 20.36/20.61 cnf(matrix-4731, 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), _u8524))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8526), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u8524))) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 20.36/20.61 cnf(matrix-4732, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8527)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8528)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u8528))), 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), _u8527)), c_Int_Onat))))) )).
% 20.36/20.61 cnf(matrix-4733, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8529)), hAPP(c_Nat_OSuc, _u8530)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u8529))), 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)), _u8530))))) )).
% 20.36/20.61 cnf(matrix-4734, plain, ( ~class_Int_Onumber__ring(_u8531) | ~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), _u8532))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8531), hAPP(c_Int_Onumber__class_Onumber__of(_u8531), _u8533)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u8532))) = hAPP(hAPP(c_HOL_OLet(_u8531, _u8531), hAPP(hAPP(c_Power_Opower__class_Opower(_u8531), hAPP(c_Int_Onumber__class_Onumber__of(_u8531), _u8533)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8532))), hAPP(hAPP(c_COMBS(_u8531, _u8531, _u8531), hAPP(hAPP(c_COMBB(_u8531, tc_fun(_u8531, _u8531), _u8531), c_Groups_Otimes__class_Otimes(_u8531)), hAPP(c_Groups_Otimes__class_Otimes(_u8531), hAPP(c_Int_Onumber__class_Onumber__of(_u8531), _u8533)))), c_COMBI(_u8531)))) )).
% 20.36/20.61 cnf(matrix-4735, plain, ( ~class_Int_Onumber__ring(_u8531) | 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), _u8532))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8531), hAPP(c_Int_Onumber__class_Onumber__of(_u8531), _u8533)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u8532))) = c_Groups_Oone__class_Oone(_u8531)) )).
% 20.36/20.61 cnf(matrix-4736, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8536), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8538)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8536)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8538)) )).
% 20.36/20.61 cnf(matrix-4737, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8537), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8539)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8537)) = 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), _u8539), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8537)))), 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))) )).
% 20.36/20.61 cnf(matrix-4738, plain, ( ( c_Nitpick_Oone__frac(_u8540) = c_Nitpick_OAbs__Frac(_u8540, 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)))) )).
% 20.36/20.61 cnf(matrix-4739, plain, ( ( c_Nitpick_Onumber__of__frac(_u8541, _u8542) = c_Nitpick_OAbs__Frac(_u8541, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8542), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 20.36/20.61 cnf(matrix-4740, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8548), _u8550), hAPP(c_Relation_OImage(_u8552, _u8548, _u8554), hAPP(hAPP(c_Set_Oinsert(_u8552), _u8556), c_Orderings_Obot__class_Obot(tc_fun(_u8552, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8552, _u8548)), hAPP(hAPP(c_Product__Type_OPair(_u8552, _u8548), _u8556), _u8550)), _u8554)) )).
% 20.36/20.61 cnf(matrix-4741, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8553, _u8549)), hAPP(hAPP(c_Product__Type_OPair(_u8553, _u8549), _u8557), _u8551)), _u8555)) | hBOOL(hAPP(hAPP(c_member(_u8549), _u8551), hAPP(c_Relation_OImage(_u8553, _u8549, _u8555), hAPP(hAPP(c_Set_Oinsert(_u8553), _u8557), c_Orderings_Obot__class_Obot(tc_fun(_u8553, tc_HOL_Obool)))))) )).
% 20.36/20.61 cnf(matrix-4742, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8560), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u8562, _u8560) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8562), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8560))) )).
% 20.36/20.61 cnf(matrix-4743, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8561), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u8563, _u8561) = 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))) | ( _u8563 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.61 cnf(matrix-4744, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8561), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u8563, _u8561) = 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))) | ( _u8561 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.61 cnf(matrix-4745, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8561), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u8563 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u8561 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u8563, _u8561) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u8563), _u8561)), 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), _u8563))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8561)))) )).
% 20.36/20.61 cnf(matrix-4746, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8568, tc_fun(_u8569, tc_HOL_Obool))), _u8567), _u8564), _u8565), _u8566)) | ~hBOOL(hAPP(hAPP(_u8564, _u8565), _u8566)) )).
% 20.36/20.61 cnf(matrix-4747, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8568, tc_fun(_u8569, tc_HOL_Obool))), _u8567), _u8564), _u8565), _u8566)) | ~hBOOL(hAPP(hAPP(_u8567, _u8565), _u8566)) )).
% 20.36/20.61 cnf(matrix-4748, plain, ( hBOOL(hAPP(hAPP(_u8572, _u8574), _u8575)) | hBOOL(hAPP(hAPP(_u8573, _u8574), _u8575)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8570, tc_fun(_u8571, tc_HOL_Obool))), _u8572), _u8573), _u8574), _u8575)) )).
% 20.36/20.61 cnf(matrix-4749, plain, ( ~hBOOL(hAPP(hAPP(_u8576, _u8577), _u8578)) | ~hBOOL(hAPP(hAPP(_u8579, _u8577), _u8578)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8580, tc_fun(_u8581, tc_HOL_Obool))), _u8576), _u8579), _u8577), _u8578)) )).
% 20.36/20.61 cnf(matrix-4750, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8582, tc_fun(_u8583, tc_HOL_Obool))), _u8584), _u8585), _u8586), _u8587)) | hBOOL(hAPP(hAPP(_u8584, _u8586), _u8587)) )).
% 20.36/20.61 cnf(matrix-4751, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8582, tc_fun(_u8583, tc_HOL_Obool))), _u8584), _u8585), _u8586), _u8587)) | hBOOL(hAPP(hAPP(_u8585, _u8586), _u8587)) )).
% 20.36/20.61 cnf(matrix-4752, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u8588, tc_fun(_u8589, tc_HOL_Obool))), _u8590), _u8591)) )).
% 20.36/20.61 cnf(matrix-4753, plain, ( ~hBOOL(hAPP(hAPP(_u8592, _u8593), _u8594)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8595, tc_fun(_u8596, tc_HOL_Obool))), _u8597), _u8592), _u8593), _u8594)) )).
% 20.36/20.61 cnf(matrix-4754, plain, ( ~hBOOL(hAPP(hAPP(_u8598, _u8599), _u8600)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8601, tc_fun(_u8602, tc_HOL_Obool))), _u8598), _u8603), _u8599), _u8600)) )).
% 20.36/20.61 cnf(matrix-4755, plain, ( hBOOL(hAPP(hAPP(_u8606, _u8608), _u8609)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8604, tc_fun(_u8605, tc_HOL_Obool))), _u8606), _u8607), _u8608), _u8609)) )).
% 20.36/20.61 cnf(matrix-4756, plain, ( hBOOL(hAPP(hAPP(_u8613, _u8614), _u8615)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8610, tc_fun(_u8611, tc_HOL_Obool))), _u8612), _u8613), _u8614), _u8615)) )).
% 20.36/20.61 cnf(matrix-4757, plain, ( ( hAPP(c_Relation_OImage(_u8616, _u8617, _u8618), c_Orderings_Obot__class_Obot(tc_fun(_u8616, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u8617, tc_HOL_Obool))) )).
% 20.36/20.61 cnf(matrix-4758, plain, ( ( hAPP(c_Relation_OImage(_u8619, _u8620, _u8621), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8619, tc_HOL_Obool)), _u8622), _u8623)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8620, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u8619, _u8620, _u8621), _u8622)), hAPP(c_Relation_OImage(_u8619, _u8620, _u8621), _u8623))) )).
% 20.36/20.61 cnf(matrix-4759, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8624, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u8625, _u8624, _u8626), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8625, tc_HOL_Obool)), _u8627), _u8628))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8624, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u8625, _u8624, _u8626), _u8627)), hAPP(c_Relation_OImage(_u8625, _u8624, _u8626), _u8628)))) )).
% 20.36/20.61 cnf(matrix-4760, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u8629, _u8630), tc_HOL_Obool)), _u8631), _u8632)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8629, tc_HOL_Obool)), _u8633), _u8634)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8630, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u8629, _u8630, _u8631), _u8633)), hAPP(c_Relation_OImage(_u8629, _u8630, _u8632), _u8634))) )).
% 20.36/20.61 cnf(matrix-4761, plain, ( ( hAPP(c_Relation_OImage(_u8635, _u8636, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u8635, _u8636), tc_HOL_Obool)), _u8637), _u8638)), _u8639) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8636, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u8635, _u8636, _u8637), _u8639)), hAPP(c_Relation_OImage(_u8635, _u8636, _u8638), _u8639))) )).
% 20.36/20.61 cnf(matrix-4762, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u8652, _u8652)), hAPP(hAPP(c_Product__Type_OPair(_u8652, _u8652), hAPP(_u8656, _u8648)), hAPP(_u8656, _u8650))), _u8654)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8646, _u8646)), hAPP(hAPP(c_Product__Type_OPair(_u8646, _u8646), _u8648), _u8650)), hAPP(hAPP(c_Relation_Oinv__image(_u8652, _u8646), _u8654), _u8656))) )).
% 20.36/20.61 cnf(matrix-4763, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8653, _u8653)), hAPP(hAPP(c_Product__Type_OPair(_u8653, _u8653), hAPP(_u8657, _u8649)), hAPP(_u8657, _u8651))), _u8655)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8647, _u8647)), hAPP(hAPP(c_Product__Type_OPair(_u8647, _u8647), _u8649), _u8651)), hAPP(hAPP(c_Relation_Oinv__image(_u8653, _u8647), _u8655), _u8657))) )).
% 20.36/20.61 cnf(matrix-4764, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8665), _u8667), hAPP(c_Relation_OImage(_u8669, _u8665, _u8671), _u8673))) | hBOOL(hAPP(hAPP(c_member(_u8669), skolem169(_u8673, _u8671, _u8669, _u8667, _u8665)), _u8673)) )).
% 20.36/20.61 cnf(matrix-4765, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8665), _u8667), hAPP(c_Relation_OImage(_u8669, _u8665, _u8671), _u8673))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8669, _u8665)), hAPP(hAPP(c_Product__Type_OPair(_u8669, _u8665), skolem169(_u8673, _u8671, _u8669, _u8667, _u8665)), _u8667)), _u8671)) )).
% 20.36/20.61 cnf(matrix-4766, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8670), _u8659), _u8674)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8670, _u8666)), hAPP(hAPP(c_Product__Type_OPair(_u8670, _u8666), _u8659), _u8668)), _u8672)) | hBOOL(hAPP(hAPP(c_member(_u8666), _u8668), hAPP(c_Relation_OImage(_u8670, _u8666, _u8672), _u8674))) )).
% 20.36/20.61 cnf(matrix-4767, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8675), _u8676), _u8677)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8675, _u8678)), hAPP(hAPP(c_Product__Type_OPair(_u8675, _u8678), _u8676), _u8679)), _u8680)) | hBOOL(hAPP(hAPP(c_member(_u8678), _u8679), hAPP(c_Relation_OImage(_u8675, _u8678, _u8680), _u8677))) )).
% 20.36/20.61 cnf(matrix-4768, 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), _u8681), _u8682))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8682), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u8681, _u8682) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8681), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8682))) )).
% 20.36/20.61 cnf(matrix-4769, 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), _u8681), _u8682))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8682), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u8681, _u8682) = 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))) | ( _u8681 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.61 cnf(matrix-4770, 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), _u8681), _u8682))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8682), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u8681, _u8682) = 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))) | ( _u8682 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 20.36/20.61 cnf(matrix-4771, 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), _u8681), _u8682))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8682), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u8681 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u8682 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u8681, _u8682) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u8681), _u8682)), 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), _u8681))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8682)))) )).
% 20.36/20.61 cnf(matrix-4772, plain, ( ~class_Rings_Oring__1(_u8683) | ( _u8684 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8683), _u8684) = c_Groups_Ozero__class_Ozero(_u8683)) )).
% 20.36/20.61 cnf(matrix-4773, plain, ( ~class_Rings_Oring__1(_u8683) | ( _u8684 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8684), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8683), _u8684) = hAPP(c_Groups_Ouminus__class_Ouminus(_u8683), hAPP(c_Int_Oring__1__class_Oof__int(_u8683), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8684)))) )).
% 20.36/20.61 cnf(matrix-4774, plain, ( ~class_Rings_Oring__1(_u8683) | ( _u8684 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8684), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8683), _u8684) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, _u8683), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_fun(_u8683, _u8683)), tc_fun(tc_Int_Oint, _u8683)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u8683, _u8683), _u8683), tc_fun(tc_fun(tc_Int_Oint, tc_fun(_u8683, _u8683)), tc_fun(tc_Int_Oint, _u8683)), tc_Int_Oint), c_COMBB(tc_fun(_u8683, _u8683), _u8683, tc_Int_Oint)), hAPP(hAPP(c_COMBB(_u8683, tc_fun(tc_fun(_u8683, _u8683), _u8683), tc_Int_Oint), c_HOL_OLet(_u8683, _u8683)), c_Int_Oring__1__class_Oof__int(_u8683)))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u8683, _u8683), tc_fun(_u8683, _u8683)), hAPP(hAPP(c_COMBB(tc_fun(_u8683, tc_fun(_u8683, _u8683)), tc_fun(tc_fun(_u8683, _u8683), tc_fun(_u8683, _u8683)), tc_Int_Oint), c_COMBS(_u8683, _u8683, _u8683)), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u8683, _u8683), tc_fun(_u8683, tc_fun(_u8683, _u8683))), hAPP(hAPP(c_COMBB(tc_fun(_u8683, tc_fun(_u8683, _u8683)), tc_fun(tc_fun(_u8683, _u8683), tc_fun(_u8683, tc_fun(_u8683, _u8683))), tc_Int_Oint), c_COMBB(_u8683, tc_fun(_u8683, _u8683), _u8683)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8683, tc_fun(_u8683, _u8683)), tc_Int_Oint), c_If(_u8683)), 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(_u8683, _u8683, _u8683), c_Groups_Oplus__class_Oplus(_u8683)), c_COMBI(_u8683))))), hAPP(hAPP(c_COMBC(_u8683, _u8683, _u8683), hAPP(hAPP(c_COMBB(_u8683, tc_fun(_u8683, _u8683), _u8683), c_Groups_Oplus__class_Oplus(_u8683)), hAPP(hAPP(c_COMBS(_u8683, _u8683, _u8683), c_Groups_Oplus__class_Oplus(_u8683)), c_COMBI(_u8683)))), c_Groups_Oone__class_Oone(_u8683))))), c_Divides_Odivmod__int(_u8684, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 20.36/20.61 cnf(matrix-4775, plain, ( ~c_Wellfounded_Omax__extp(_u8689, hAPP(hAPP(c_COMBC(_u8689, tc_fun(tc_prod(_u8689, _u8689), tc_HOL_Obool), tc_fun(_u8689, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8689, tc_fun(tc_fun(tc_prod(_u8689, _u8689), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8689, _u8689), tc_HOL_Obool), tc_fun(_u8689, tc_HOL_Obool)), _u8689), c_COMBC(_u8689, tc_fun(tc_prod(_u8689, _u8689), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8689, tc_prod(_u8689, _u8689)), tc_fun(_u8689, tc_fun(tc_fun(tc_prod(_u8689, _u8689), tc_HOL_Obool), tc_HOL_Obool)), _u8689), hAPP(c_COMBB(tc_prod(_u8689, _u8689), tc_fun(tc_fun(tc_prod(_u8689, _u8689), tc_HOL_Obool), tc_HOL_Obool), _u8689), c_member(tc_prod(_u8689, _u8689)))), c_Product__Type_OPair(_u8689, _u8689)))), _u8691), _u8693, _u8695) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8689, tc_HOL_Obool), tc_fun(_u8689, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8689, tc_HOL_Obool), tc_fun(_u8689, tc_HOL_Obool)), _u8693), _u8695)), c_Wellfounded_Omax__ext(_u8689, _u8691))) )).
% 20.36/20.61 cnf(matrix-4776, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8690, tc_HOL_Obool), tc_fun(_u8690, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8690, tc_HOL_Obool), tc_fun(_u8690, tc_HOL_Obool)), _u8694), _u8696)), c_Wellfounded_Omax__ext(_u8690, _u8692))) | c_Wellfounded_Omax__extp(_u8690, hAPP(hAPP(c_COMBC(_u8690, tc_fun(tc_prod(_u8690, _u8690), tc_HOL_Obool), tc_fun(_u8690, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8690, tc_fun(tc_fun(tc_prod(_u8690, _u8690), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8690, _u8690), tc_HOL_Obool), tc_fun(_u8690, tc_HOL_Obool)), _u8690), c_COMBC(_u8690, tc_fun(tc_prod(_u8690, _u8690), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8690, tc_prod(_u8690, _u8690)), tc_fun(_u8690, tc_fun(tc_fun(tc_prod(_u8690, _u8690), tc_HOL_Obool), tc_HOL_Obool)), _u8690), hAPP(c_COMBB(tc_prod(_u8690, _u8690), tc_fun(tc_fun(tc_prod(_u8690, _u8690), tc_HOL_Obool), tc_HOL_Obool), _u8690), c_member(tc_prod(_u8690, _u8690)))), c_Product__Type_OPair(_u8690, _u8690)))), _u8692), _u8694, _u8696) )).
% 20.36/20.61 cnf(matrix-4777, plain, ( ( c_Nat_Onat_Onat__case(_u8697, _u8698, _u8699, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8700)), _u8701)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u8697), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u8700))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u8697, _u8697), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u8697, tc_fun(_u8697, _u8697)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8697, tc_fun(_u8697, _u8697)), tc_Int_Oint), c_If(_u8697)), c_Nat__Numeral_Oneg)), c_Nat_Onat_Onat__case(_u8697, _u8698, _u8699, _u8701))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u8697, tc_Int_Oint), _u8699), 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)), _u8701))))) )).
% 20.36/20.61 cnf(matrix-4778, plain, ( ( _u8702 != _u8703) | ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8704, _u8705, _u8706), _u8707), _u8702) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8704, _u8705, _u8706), _u8707), _u8703)) )).
% 20.36/20.61 cnf(matrix-4779, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8708, _u8709, _u8710), _u8711), hAPP(hAPP(c_Product__Type_OPair(_u8708, _u8709), _u8712), _u8713)) = hAPP(hAPP(_u8711, _u8712), _u8713)) )).
% 20.36/20.61 cnf(matrix-4780, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8714, _u8715, _u8716), _u8717), hAPP(hAPP(c_Product__Type_OPair(_u8714, _u8715), _u8718), _u8719)) = hAPP(hAPP(_u8717, _u8718), _u8719)) )).
% 20.36/20.61 cnf(matrix-4781, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8720, _u8721, _u8722), _u8723), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8724, _u8725, tc_prod(_u8720, _u8721)), _u8726), _u8727)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8724, _u8725, _u8722), hAPP(hAPP(c_COMBB(tc_fun(_u8725, tc_prod(_u8720, _u8721)), tc_fun(_u8725, _u8722), _u8724), hAPP(c_COMBB(tc_prod(_u8720, _u8721), _u8722, _u8725), hAPP(c_Product__Type_Oprod_Oprod__case(_u8720, _u8721, _u8722), _u8723))), _u8726)), _u8727)) )).
% 20.36/20.61 cnf(matrix-4782, plain, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u8728, _u8729, _u8730), hAPP(hAPP(c_COMBB(tc_fun(_u8729, tc_prod(_u8728, _u8729)), tc_fun(_u8729, _u8730), _u8728), hAPP(c_COMBB(tc_prod(_u8728, _u8729), _u8730, _u8729), _u8731)), c_Product__Type_OPair(_u8728, _u8729))) = _u8731) )).
% 20.36/20.61 cnf(matrix-4783, plain, ( ( hAPP(c_Product__Type_Ofst(_u8732, _u8733), _u8734) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8732, _u8733, _u8732), c_COMBK(_u8732, _u8733)), _u8734)) )).
% 20.36/20.61 cnf(matrix-4784, plain, ( ( hAPP(c_Product__Type_Osnd(_u8735, _u8736), _u8737) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8735, _u8736, _u8736), hAPP(c_COMBK(tc_fun(_u8736, _u8736), _u8735), c_COMBI(_u8736))), _u8737)) )).
% 20.36/20.61 cnf(matrix-4785, plain, ( ( c_Nat_Onat_Onat__case(_u8738, _u8739, _u8740, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u8739) )).
% 20.36/20.61 cnf(matrix-4786, plain, ( ( c_Nat_Onat_Onat__case(_u8741, _u8742, _u8743, hAPP(c_Nat_OSuc, _u8744)) = hAPP(_u8743, _u8744)) )).
% 20.36/20.61 cnf(matrix-4787, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8745, _u8746, _u8747), _u8748), _u8749) = hAPP(hAPP(_u8748, hAPP(c_Product__Type_Ofst(_u8745, _u8746), _u8749)), hAPP(c_Product__Type_Osnd(_u8745, _u8746), _u8749))) )).
% 20.36/20.61 cnf(matrix-4788, plain, ( ( hAPP(hAPP(c_COMBS(tc_prod(_u8750, _u8751), _u8751, _u8752), hAPP(hAPP(c_COMBB(_u8753, tc_fun(_u8751, _u8752), tc_prod(_u8750, _u8751)), _u8754), hAPP(hAPP(c_COMBB(_u8750, _u8753, tc_prod(_u8750, _u8751)), _u8755), c_Product__Type_Ofst(_u8750, _u8751)))), c_Product__Type_Osnd(_u8750, _u8751)) = hAPP(c_Product__Type_Oprod_Oprod__case(_u8750, _u8751, _u8752), hAPP(hAPP(c_COMBB(_u8753, tc_fun(_u8751, _u8752), _u8750), _u8754), _u8755))) )).
% 20.36/20.61 cnf(matrix-4789, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8756, _u8757, _u8758), _u8759), _u8760) = hAPP(hAPP(_u8759, hAPP(c_Product__Type_Ofst(_u8756, _u8757), _u8760)), hAPP(c_Product__Type_Osnd(_u8756, _u8757), _u8760))) )).
% 20.36/20.61 cnf(matrix-4790, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8761, _u8762, _u8763), _u8764), _u8765) = hAPP(hAPP(_u8764, hAPP(c_Product__Type_Ofst(_u8761, _u8762), _u8765)), hAPP(c_Product__Type_Osnd(_u8761, _u8762), _u8765))) )).
% 20.36/20.61 cnf(matrix-4791, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8768)), _u8770)) | hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool, c_fFalse, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8768), _u8770)) )).
% 20.36/20.61 cnf(matrix-4792, plain, ( ~hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool, c_fFalse, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8769), _u8771)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8769)), _u8771)) )).
% 20.36/20.61 cnf(matrix-4793, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8772), hAPP(c_Nat_OSuc, _u8773)) = 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), _u8772), _u8773))) )).
% 20.36/20.61 cnf(matrix-4794, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8774)), _u8775) = 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), _u8774)), _u8775)) )).
% 20.36/20.61 cnf(matrix-4795, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u8776), hAPP(c_Nat_OSuc, _u8777)) = 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)), _u8777)), _u8776)) )).
% 20.36/20.61 cnf(matrix-4796, plain, ( ( c_Divides_Odivmod__int__rel(_u8778, _u8779) = 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, _u8778))), 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), _u8779)))))), 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)), _u8779))), 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)), _u8779))))), 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)), _u8779)))), 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), _u8779))), 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)))))))) )).
% 20.36/20.61 cnf(matrix-4797, plain, ( ( c_Wellfounded_Omlex__prod(_u8780, _u8781, _u8782) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, _u8780), _u8780), c_Wellfounded_Olex__prod(tc_Nat_Onat, _u8780, c_Wellfounded_Oless__than, _u8782)), hAPP(hAPP(c_COMBS(_u8780, _u8780, tc_prod(tc_Nat_Onat, _u8780)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u8780, tc_prod(tc_Nat_Onat, _u8780)), _u8780), c_Product__Type_OPair(tc_Nat_Onat, _u8780)), _u8781)), c_COMBI(_u8780)))) )).
% 20.36/20.61 cnf(matrix-4798, plain, ( ( c_Nat_Onat_Onat__case(_u8783, _u8784, _u8785, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8786)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u8783), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u8786))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u8783, _u8783), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u8783, tc_fun(_u8783, _u8783)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8783, tc_fun(_u8783, _u8783)), tc_Int_Oint), c_If(_u8783)), c_Nat__Numeral_Oneg)), _u8784)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u8783, tc_Int_Oint), _u8785), c_Int_Onat)))) )).
% 20.36/20.61 cnf(matrix-4799, plain, ( ( c_Divides_Oadjust(_u8787) = 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)), _u8787))))), 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)), _u8787))))), 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)))))))) )).
% 20.36/20.61 cnf(matrix-4800, 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))))) )).
% 20.36/20.61 cnf(matrix-4801, plain, ( ( _u8790 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u8790, _u8792) = 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))) )).
% 20.36/20.61 cnf(matrix-4802, plain, ( ( _u8791 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u8793 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u8791, _u8793) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8791)) )).
% 20.36/20.61 cnf(matrix-4803, plain, ( ( _u8791 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u8793 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u8791, _u8793) = 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, _u8793))), 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)), _u8793)), hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8791))), hAPP(hAPP(c_fconj, hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8793), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8791), c_Groups_Ozero__class_Ozero(tc_Int_Oint))))), c_Divides_Opdivmod(_u8791, _u8793)), 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), _u8793))))), c_Divides_Opdivmod(_u8791, _u8793))))) )).
% 20.36/20.61 cnf(matrix-4804, plain, ( ( _u8796 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u8796, _u8798) = 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))) )).
% 20.36/20.61 cnf(matrix-4805, plain, ( ( _u8797 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u8799 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u8797, _u8799) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8797)) )).
% 20.36/20.61 cnf(matrix-4806, plain, ( ( _u8797 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u8799 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u8797, _u8799) = 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, _u8799))), 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, _u8797)), c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u8799))), c_Divides_Opdivmod(_u8797, _u8799)), 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), _u8799))))), c_Divides_Opdivmod(_u8797, _u8799))))) )).
% 20.36/20.61 cnf(matrix-4807, plain, ( ~class_Rings_Oring__1(_u8800) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8800), 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), _u8801), _u8802)), 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(_u8800), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8800), _u8801)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8800), _u8802))) )).
% 20.36/20.61 cnf(matrix-4808, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8803), _u8804), hAPP(hAPP(_u8805, _u8806), _u8807))) | hBOOL(hAPP(hAPP(c_member(_u8803), _u8804), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8808, _u8809, tc_fun(_u8803, tc_HOL_Obool)), _u8805), hAPP(hAPP(c_Product__Type_OPair(_u8808, _u8809), _u8806), _u8807)))) )).
% 20.36/20.61 cnf(matrix-4809, plain, ( ~hBOOL(hAPP(hAPP(_u8810, _u8811), _u8812)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8813, _u8814, tc_HOL_Obool), _u8810), hAPP(hAPP(c_Product__Type_OPair(_u8813, _u8814), _u8811), _u8812))) )).
% 20.36/20.61 cnf(matrix-4810, plain, ( ~hBOOL(hAPP(hAPP(_u8815, _u8816), _u8817)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8818, _u8819, tc_HOL_Obool), _u8815), hAPP(hAPP(c_Product__Type_OPair(_u8818, _u8819), _u8816), _u8817))) )).
% 20.36/20.61 cnf(matrix-4811, plain, ( hBOOL(hAPP(hAPP(hAPP(_u8823, _u8824), _u8825), _u8826)) | ~hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8820, _u8821, tc_fun(_u8822, tc_HOL_Obool)), _u8823), hAPP(hAPP(c_Product__Type_OPair(_u8820, _u8821), _u8824), _u8825)), _u8826)) )).
% 20.36/20.61 cnf(matrix-4812, plain, ( hBOOL(hAPP(hAPP(_u8829, _u8830), _u8831)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8827, _u8828, tc_HOL_Obool), _u8829), hAPP(hAPP(c_Product__Type_OPair(_u8827, _u8828), _u8830), _u8831))) )).
% 20.36/20.61 cnf(matrix-4813, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u8832, _u8833, _u8834, _u8835), hAPP(hAPP(c_Product__Type_OPair(_u8834, _u8832), _u8836), _u8837)) = hAPP(hAPP(c_Product__Type_OPair(_u8834, _u8833), _u8836), hAPP(_u8835, _u8837))) )).
% 20.36/20.61 cnf(matrix-4814, plain, ( ( hAPP(c_Product__Type_Ofst(_u8838, _u8839), hAPP(c_Product__Type_Oapsnd(_u8840, _u8839, _u8838, _u8841), _u8842)) = hAPP(c_Product__Type_Ofst(_u8838, _u8840), _u8842)) )).
% 20.36/20.61 cnf(matrix-4815, plain, ( ( hAPP(c_Product__Type_Osnd(_u8843, _u8844), hAPP(c_Product__Type_Oapsnd(_u8845, _u8844, _u8843, _u8846), _u8847)) = hAPP(_u8846, hAPP(c_Product__Type_Osnd(_u8843, _u8845), _u8847))) )).
% 20.36/20.61 cnf(matrix-4816, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u8854, _u8856, _u8858, _u8860), _u8862) != hAPP(c_Product__Type_Oapsnd(_u8854, _u8856, _u8858, _u8864), _u8862)) | ( hAPP(_u8860, hAPP(c_Product__Type_Osnd(_u8858, _u8854), _u8862)) = hAPP(_u8864, hAPP(c_Product__Type_Osnd(_u8858, _u8854), _u8862))) )).
% 20.36/20.61 cnf(matrix-4817, plain, ( ( hAPP(_u8861, hAPP(c_Product__Type_Osnd(_u8859, _u8855), _u8863)) != hAPP(_u8865, hAPP(c_Product__Type_Osnd(_u8859, _u8855), _u8863))) | ( hAPP(c_Product__Type_Oapsnd(_u8855, _u8857, _u8859, _u8861), _u8863) = hAPP(c_Product__Type_Oapsnd(_u8855, _u8857, _u8859, _u8865), _u8863)) )).
% 20.36/20.61 cnf(matrix-4818, 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))) )).
% 20.36/20.61 cnf(matrix-4819, plain, ( ( c_FunDef_Orp__inv__image(_u8866, _u8867) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_prod(_u8866, _u8866), tc_HOL_Obool), tc_fun(tc_prod(_u8866, _u8866), tc_HOL_Obool), tc_fun(tc_fun(_u8867, _u8866), tc_prod(tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool), tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(tc_fun(tc_prod(_u8866, _u8866), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u8866, _u8866), tc_HOL_Obool), tc_fun(tc_fun(_u8867, _u8866), tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u8866, _u8866), tc_HOL_Obool), tc_fun(tc_fun(_u8867, _u8866), tc_prod(tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool), tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(_u8867, _u8866), tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool)), tc_fun(tc_fun(_u8867, _u8866), tc_prod(tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool), tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(tc_prod(_u8866, _u8866), tc_HOL_Obool), tc_fun(tc_fun(_u8867, _u8866), tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u8866, _u8866), tc_HOL_Obool), tc_fun(tc_fun(_u8867, _u8866), tc_prod(tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool), tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool))))), tc_fun(tc_prod(_u8866, _u8866), tc_HOL_Obool)), c_COMBB(tc_fun(tc_fun(_u8867, _u8866), tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool)), tc_fun(tc_fun(_u8867, _u8866), tc_prod(tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool), tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool))), tc_fun(tc_prod(_u8866, _u8866), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u8867, _u8866), tc_fun(tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool), tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(_u8867, _u8866), tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool)), tc_fun(tc_fun(_u8867, _u8866), tc_prod(tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool), tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool)))), tc_fun(tc_prod(_u8866, _u8866), tc_HOL_Obool)), c_COMBS(tc_fun(_u8867, _u8866), tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool), tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool)))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u8867, _u8866), tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool)), tc_fun(tc_fun(_u8867, _u8866), tc_fun(tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool), tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool)))), tc_fun(tc_prod(_u8866, _u8866), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool), tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool))), tc_fun(_u8867, _u8866)), c_Product__Type_OPair(tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool), tc_fun(tc_prod(_u8867, _u8867), tc_HOL_Obool)))), c_Relation_Oinv__image(_u8866, _u8867))))), c_Relation_Oinv__image(_u8866, _u8867)))) )).
% 20.36/20.61 cnf(matrix-4820, plain, ( ( c_Divides_Odivmod__nat(_u8872, _u8870) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8872)) | ( _u8870 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.61 cnf(matrix-4821, plain, ( ( c_Divides_Odivmod__nat(_u8872, _u8870) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8872)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8872), _u8870)) )).
% 20.36/20.61 cnf(matrix-4822, plain, ( ( _u8871 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8873), _u8871)) | ( c_Divides_Odivmod__nat(_u8873, _u8871) = 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), _u8873), _u8871), _u8871))) )).
% 20.36/20.61 cnf(matrix-4823, 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), _u8874), _u8875)), 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), _u8875), _u8874)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 20.36/20.61 cnf(matrix-4824, 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)))))) )).
% 20.36/20.61 cnf(matrix-4825, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8876) = 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), _u8876), 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)))))) )).
% 20.36/20.61 cnf(matrix-4826, 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), _u8877), _u8878)), 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), _u8879), _u8880)), 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), _u8877), _u8879)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8878), _u8880))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 20.36/20.61 cnf(matrix-4827, 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), _u8881), _u8882)), 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), _u8881), _u8882)) )).
% 20.36/20.61 cnf(matrix-4828, 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), _u8887), _u8889)), 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), _u8891), _u8893)), 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), _u8887), _u8893)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8891), _u8889))) )).
% 20.36/20.61 cnf(matrix-4829, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8888), _u8894)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8892), _u8890))) | 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), _u8888), _u8890)), 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), _u8892), _u8894)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 20.36/20.61 cnf(matrix-4830, 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), _u8899), _u8901)), 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), _u8903), _u8905)), 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), _u8899), _u8905)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8903), _u8901))) )).
% 20.36/20.61 cnf(matrix-4831, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8900), _u8906)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8904), _u8902))) | 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), _u8900), _u8902)), 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), _u8904), _u8906)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 20.36/20.61 cnf(matrix-4832, 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), _u8907), _u8908)), 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), _u8909), _u8910)), 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), _u8907), _u8909)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8908), _u8910))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8907), _u8910)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8908), _u8909)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 20.36/20.61 cnf(matrix-4833, 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)))))) )).
% 20.36/20.61 cnf(matrix-4834, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u8911, _u8912, _u8913), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8914)), _u8915)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u8911), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u8914))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u8911, _u8911), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u8911, tc_fun(_u8911, _u8911)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8911, tc_fun(_u8911, _u8911)), tc_Int_Oint), c_If(_u8911)), c_Nat__Numeral_Oneg)), hAPP(c_Nat_Onat_Onat__rec(_u8911, _u8912, _u8913), _u8915))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u8911, _u8911), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u8911, _u8911), tc_Int_Oint), _u8913), 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)), _u8915))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u8911, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u8911, _u8912, _u8913)), 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)), _u8915)))))) )).
% 20.36/20.61 cnf(matrix-4835, plain, ( ~class_Rings_Osemiring__1(_u8916) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8916), _u8917) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u8916, hAPP(hAPP(c_COMBC(_u8916, _u8916, _u8916), c_Groups_Oplus__class_Oplus(_u8916)), c_Groups_Oone__class_Oone(_u8916)), _u8917, c_Groups_Ozero__class_Ozero(_u8916))) )).
% 20.36/20.61 cnf(matrix-4836, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u8918, _u8919, _u8920), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8921)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u8918), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u8921))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u8918, _u8918), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u8918, tc_fun(_u8918, _u8918)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8918, tc_fun(_u8918, _u8918)), tc_Int_Oint), c_If(_u8918)), c_Nat__Numeral_Oneg)), _u8919)), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u8918, _u8918), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u8918, _u8918), tc_Int_Oint), _u8920), c_Int_Onat)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u8918, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u8918, _u8919, _u8920)), c_Int_Onat))))) )).
% 20.36/20.61 cnf(matrix-4837, plain, ( ~class_Orderings_Olinorder(_u8922) | ( c_Orderings_Oord_Omax(_u8922, hAPP(c_COMBC(_u8922, _u8922, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u8922))) = c_Orderings_Oord__class_Omin(_u8922)) )).
% 20.36/20.61 cnf(matrix-4838, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u8923, _u8924, _u8925), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u8924) )).
% 20.36/20.61 cnf(matrix-4839, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u8926, _u8927, _u8928), hAPP(c_Nat_OSuc, _u8929)) = hAPP(hAPP(_u8928, _u8929), hAPP(c_Nat_Onat_Onat__rec(_u8926, _u8927, _u8928), _u8929))) )).
% 20.36/20.61 cnf(matrix-4840, plain, ( ~class_Rings_Osemiring__1(_u8930) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u8930, _u8931, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u8932) = _u8932) )).
% 20.36/20.61 cnf(matrix-4841, plain, ( ~class_Rings_Osemiring__1(_u8933) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u8933, _u8934, hAPP(c_Nat_OSuc, _u8935), _u8936) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u8933, _u8934, _u8935, hAPP(_u8934, _u8936))) )).
% 20.36/20.61 cnf(matrix-4842, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8938, tc_Int_Oint), _u8940), _u8939) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8938, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u8938), c_Int_Onat), _u8940)), _u8939))) | hBOOL(hAPP(hAPP(c_member(_u8938), skolem170(_u8940, _u8939, _u8938)), _u8939)) )).
% 20.36/20.61 cnf(matrix-4843, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8938, tc_Int_Oint), _u8940), _u8939) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8938, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u8938), c_Int_Onat), _u8940)), _u8939))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u8940, skolem170(_u8940, _u8939, _u8938))) )).
% 20.36/20.61 cnf(matrix-4844, plain, ( ~c_Relation_Oirrefl(_u8945, _u8947) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8945, _u8945)), hAPP(hAPP(c_Product__Type_OPair(_u8945, _u8945), _u8941), _u8941)), _u8947)) )).
% 20.36/20.61 cnf(matrix-4845, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u8946, _u8946)), hAPP(hAPP(c_Product__Type_OPair(_u8946, _u8946), skolem171(_u8948, _u8946)), skolem171(_u8948, _u8946))), _u8948)) | c_Relation_Oirrefl(_u8946, _u8948) )).
% 20.36/20.61 cnf(matrix-4846, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8950, tc_Int_Oint), _u8952), _u8951) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8950, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u8950), c_Int_Onat), _u8952)), _u8951))) | hBOOL(hAPP(hAPP(c_member(_u8950), skolem172(_u8952, _u8951, _u8950)), _u8951)) )).
% 20.36/20.61 cnf(matrix-4847, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8950, tc_Int_Oint), _u8952), _u8951) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8950, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u8950), c_Int_Onat), _u8952)), _u8951))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u8952, skolem172(_u8952, _u8951, _u8950))) )).
% 20.36/20.61 cnf(matrix-4848, 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), _u8955), _u8956))) | hBOOL(hAPP(hAPP(_u8957, _u8955), _u8956)) | 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), skolem173(_u8957, _u8956, _u8955)), skolem174(_u8957, _u8956, _u8955)))) )).
% 20.36/20.61 cnf(matrix-4849, 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), _u8955), _u8956))) | hBOOL(hAPP(hAPP(_u8957, _u8955), _u8956)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem174(_u8957, _u8956, _u8955)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u8957, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem173(_u8957, _u8956, _u8955))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem174(_u8957, _u8956, _u8955)))) )).
% 20.36/20.61 cnf(matrix-4850, 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), _u8955), _u8956))) | hBOOL(hAPP(hAPP(_u8957, _u8955), _u8956)) | ~hBOOL(hAPP(hAPP(_u8957, skolem173(_u8957, _u8956, _u8955)), skolem174(_u8957, _u8956, _u8955))) )).
% 20.36/20.61 cnf(matrix-4851, plain, ( ( hAPP(hAPP(c_Nitpick_Ofrac(_u8958), _u8959), _u8960) = c_Nitpick_OAbs__Frac(_u8958, c_Nitpick_Onorm__frac(_u8959, _u8960))) )).
% 20.36/20.61 cnf(matrix-4852, plain, ( ( _u8963 = 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), skolem175(_u8963)), skolem176(_u8963))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 20.36/20.61 cnf(matrix-4853, 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), _u8964)), 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))), _u8965))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8966))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8966)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8964), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8964), 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), _u8966), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u8965))))) )).
% 20.36/20.61 cnf(matrix-4854, plain, ( ( hAPP(c_Relation_OField(_u8967), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u8967, _u8967)), hAPP(hAPP(c_Product__Type_OPair(_u8967, _u8967), _u8968), _u8969)), _u8970)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8967, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8967), _u8968), hAPP(hAPP(c_Set_Oinsert(_u8967), _u8969), c_Orderings_Obot__class_Obot(tc_fun(_u8967, tc_HOL_Obool))))), hAPP(c_Relation_OField(_u8967), _u8970))) )).
% 20.36/20.61 cnf(matrix-4855, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8971))) )).
% 20.36/20.61 cnf(matrix-4856, 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))) )).
% 20.36/20.61 cnf(matrix-4857, plain, ( ~class_Orderings_Olinorder(_u8972) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u8972), _u8973) != hAPP(c_SetInterval_Oord__class_OlessThan(_u8972), _u8974)) | ( _u8973 = _u8974) )).
% 20.36/20.61 cnf(matrix-4858, plain, ( ~class_Orderings_Olinorder(_u8972) | ( _u8973 != _u8974) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u8972), _u8973) = hAPP(c_SetInterval_Oord__class_OlessThan(_u8972), _u8974)) )).
% 20.36/20.61 cnf(matrix-4859, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8975)) = _u8975) )).
% 20.36/20.61 cnf(matrix-4860, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8976)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u8976), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8976))) )).
% 20.36/20.61 cnf(matrix-4861, plain, ( ~class_Orderings_Oord(_u8977) | ~hBOOL(hAPP(hAPP(c_member(_u8977), _u8978), hAPP(c_SetInterval_Oord__class_OlessThan(_u8977), _u8979))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8977), _u8978), _u8979)) )).
% 20.36/20.61 cnf(matrix-4862, plain, ( ~class_Orderings_Oord(_u8977) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8977), _u8978), _u8979)) | hBOOL(hAPP(hAPP(c_member(_u8977), _u8978), hAPP(c_SetInterval_Oord__class_OlessThan(_u8977), _u8979))) )).
% 20.36/20.61 cnf(matrix-4863, plain, ( ~class_Orderings_Olinorder(_u8980) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8980, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8980), _u8981)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8980), _u8982))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8980), _u8981), _u8982)) )).
% 20.36/20.62 cnf(matrix-4864, plain, ( ~class_Orderings_Olinorder(_u8980) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8980), _u8981), _u8982)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8980, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8980), _u8981)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8980), _u8982))) )).
% 20.36/20.62 cnf(matrix-4865, plain, ( ~class_Groups_Ocomm__monoid__add(_u8983) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8983), _u8984), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8985))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8983), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8983), _u8984), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8985))), hAPP(_u8984, _u8985))) )).
% 20.36/20.62 cnf(matrix-4866, plain, ( ~class_Orderings_Olinorder(_u8986) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8986, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8986), _u8987)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8986), _u8988))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8986), _u8987), _u8988)) )).
% 20.36/20.62 cnf(matrix-4867, plain, ( ~class_Orderings_Olinorder(_u8986) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8986), _u8987), _u8988)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8986, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8986), _u8987)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8986), _u8988))) )).
% 20.36/20.62 cnf(matrix-4868, plain, ( ~class_Orderings_Oorder(_u8989) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8989, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8989), _u8990), c_Orderings_Obot__class_Obot(tc_fun(_u8989, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OlessThan(_u8989), _u8990)) = hAPP(hAPP(c_Set_Oinsert(_u8989), _u8990), c_Orderings_Obot__class_Obot(tc_fun(_u8989, tc_HOL_Obool)))) )).
% 20.36/20.62 cnf(matrix-4869, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8996)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u8991), _u8996)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8991), skolem177(_u8996))) )).
% 20.36/20.62 cnf(matrix-4870, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8997)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem178(_u8997, _u8994)), _u8997)) )).
% 20.36/20.62 cnf(matrix-4871, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8997)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem178(_u8997, _u8994)), _u8994)) )).
% 20.36/20.62 cnf(matrix-4872, plain, ( ( hAPP(c_Relation_OField(_u8998), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u8998, _u8998), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u8998, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-4873, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u8999, _u8999), tc_HOL_Obool)), _u9000), _u9001)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8999, tc_HOL_Obool)), hAPP(c_Relation_OField(_u8999), _u9000)), hAPP(c_Relation_OField(_u8999), _u9001))) )).
% 20.36/20.62 cnf(matrix-4874, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u9007)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9002), _u9007)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9002), skolem179(_u9007))) )).
% 20.36/20.62 cnf(matrix-4875, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u9008)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem180(_u9008, _u9005)), _u9008)) )).
% 20.36/20.62 cnf(matrix-4876, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u9008)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem180(_u9008, _u9005)), _u9005)) )).
% 20.36/20.62 cnf(matrix-4877, plain, ( ( hAPP(c_Relation_OField(_u9009), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u9009, _u9009), tc_HOL_Obool)), _u9010), _u9011)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9009, tc_HOL_Obool)), hAPP(c_Relation_OField(_u9009), _u9010)), hAPP(c_Relation_OField(_u9009), _u9011))) )).
% 20.36/20.62 cnf(matrix-4878, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u9012, _u9012)), _u9013)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9012), hAPP(c_Relation_OField(_u9012), _u9013))) )).
% 20.36/20.62 cnf(matrix-4879, plain, ( ~class_Rings_Ocomm__semiring__1(_u9014) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9014), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9014), c_Groups_Oone__class_Oone(_u9014)), c_Groups_Oone__class_Oone(_u9014))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9014), hAPP(hAPP(c_COMBB(_u9014, _u9014, tc_Nat_Onat), hAPP(c_Groups_Oplus__class_Oplus(_u9014), _u9015)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u9014, _u9014), hAPP(hAPP(c_COMBB(_u9014, tc_fun(_u9014, _u9014), tc_Nat_Onat), c_Groups_Otimes__class_Otimes(_u9014)), c_Nat_Osemiring__1__class_Oof__nat(_u9014))), _u9016))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u9017))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9014), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9014), _u9017)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9014), _u9015), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9014), _u9015), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9014), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9014), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9017), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u9016))))) )).
% 20.36/20.62 cnf(matrix-4880, 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), _u9018)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Otimes__class_Otimes(tc_Nat_Onat)), _u9019))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u9020))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9020), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9018), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9018), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9020), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u9019))))) )).
% 20.36/20.62 cnf(matrix-4881, plain, ( hBOOL(hAPP(hAPP(_u9029, _u9027), _u9031)) | ~hBOOL(hAPP(hAPP(c_member(_u9025), _u9027), c_SetInterval_Oord_OatMost(_u9025, _u9029, _u9031))) )).
% 20.36/20.62 cnf(matrix-4882, plain, ( ~hBOOL(hAPP(hAPP(_u9030, _u9028), _u9032)) | hBOOL(hAPP(hAPP(c_member(_u9026), _u9028), c_SetInterval_Oord_OatMost(_u9026, _u9030, _u9032))) )).
% 20.36/20.62 cnf(matrix-4883, plain, ( hBOOL(hAPP(hAPP(_u9041, _u9043), _u9039)) | ~hBOOL(hAPP(hAPP(c_member(_u9037), _u9039), c_SetInterval_Oord_OatLeast(_u9037, _u9041, _u9043))) )).
% 20.36/20.62 cnf(matrix-4884, plain, ( ~hBOOL(hAPP(hAPP(_u9042, _u9044), _u9040)) | hBOOL(hAPP(hAPP(c_member(_u9038), _u9040), c_SetInterval_Oord_OatLeast(_u9038, _u9042, _u9044))) )).
% 20.36/20.62 cnf(matrix-4885, plain, ( hBOOL(hAPP(hAPP(_u9053, _u9051), _u9055)) | ~hBOOL(hAPP(hAPP(c_member(_u9049), _u9051), c_SetInterval_Oord_OlessThan(_u9049, _u9053, _u9055))) )).
% 20.36/20.62 cnf(matrix-4886, plain, ( ~hBOOL(hAPP(hAPP(_u9054, _u9052), _u9056)) | hBOOL(hAPP(hAPP(c_member(_u9050), _u9052), c_SetInterval_Oord_OlessThan(_u9050, _u9054, _u9056))) )).
% 20.36/20.62 cnf(matrix-4887, plain, ( hBOOL(hAPP(hAPP(_u9065, _u9067), _u9063)) | ~hBOOL(hAPP(hAPP(c_member(_u9061), _u9063), c_SetInterval_Oord_OgreaterThan(_u9061, _u9065, _u9067))) )).
% 20.36/20.62 cnf(matrix-4888, plain, ( ~hBOOL(hAPP(hAPP(_u9066, _u9068), _u9064)) | hBOOL(hAPP(hAPP(c_member(_u9062), _u9064), c_SetInterval_Oord_OgreaterThan(_u9062, _u9066, _u9068))) )).
% 20.36/20.62 cnf(matrix-4889, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 20.36/20.62 cnf(matrix-4890, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9075), _u9077), c_SetInterval_Oord_OgreaterThanAtMost(_u9075, _u9079, _u9081, _u9083, _u9085))) | hBOOL(hAPP(hAPP(_u9081, _u9083), _u9077)) )).
% 20.36/20.62 cnf(matrix-4891, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9075), _u9077), c_SetInterval_Oord_OgreaterThanAtMost(_u9075, _u9079, _u9081, _u9083, _u9085))) | hBOOL(hAPP(hAPP(_u9079, _u9077), _u9085)) )).
% 20.36/20.62 cnf(matrix-4892, plain, ( ~hBOOL(hAPP(hAPP(_u9082, _u9084), _u9078)) | ~hBOOL(hAPP(hAPP(_u9080, _u9078), _u9086)) | hBOOL(hAPP(hAPP(c_member(_u9076), _u9078), c_SetInterval_Oord_OgreaterThanAtMost(_u9076, _u9080, _u9082, _u9084, _u9086))) )).
% 20.36/20.62 cnf(matrix-4893, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9093), _u9095), c_SetInterval_Oord_OatLeastLessThan(_u9093, _u9097, _u9099, _u9101, _u9103))) | hBOOL(hAPP(hAPP(_u9097, _u9101), _u9095)) )).
% 20.36/20.62 cnf(matrix-4894, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9093), _u9095), c_SetInterval_Oord_OatLeastLessThan(_u9093, _u9097, _u9099, _u9101, _u9103))) | hBOOL(hAPP(hAPP(_u9099, _u9095), _u9103)) )).
% 20.36/20.62 cnf(matrix-4895, plain, ( ~hBOOL(hAPP(hAPP(_u9098, _u9102), _u9096)) | ~hBOOL(hAPP(hAPP(_u9100, _u9096), _u9104)) | hBOOL(hAPP(hAPP(c_member(_u9094), _u9096), c_SetInterval_Oord_OatLeastLessThan(_u9094, _u9098, _u9100, _u9102, _u9104))) )).
% 20.36/20.62 cnf(matrix-4896, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9110), _u9112), c_SetInterval_Oord_OgreaterThanLessThan(_u9110, _u9114, _u9116, _u9118))) | hBOOL(hAPP(hAPP(_u9114, _u9116), _u9112)) )).
% 20.36/20.62 cnf(matrix-4897, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9110), _u9112), c_SetInterval_Oord_OgreaterThanLessThan(_u9110, _u9114, _u9116, _u9118))) | hBOOL(hAPP(hAPP(_u9114, _u9112), _u9118)) )).
% 20.36/20.62 cnf(matrix-4898, plain, ( ~hBOOL(hAPP(hAPP(_u9115, _u9117), _u9113)) | ~hBOOL(hAPP(hAPP(_u9115, _u9113), _u9119)) | hBOOL(hAPP(hAPP(c_member(_u9111), _u9113), c_SetInterval_Oord_OgreaterThanLessThan(_u9111, _u9115, _u9117, _u9119))) )).
% 20.36/20.62 cnf(matrix-4899, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9125), _u9127), c_SetInterval_Oord_OatLeastAtMost(_u9125, _u9129, _u9131, _u9133))) | hBOOL(hAPP(hAPP(_u9129, _u9131), _u9127)) )).
% 20.36/20.62 cnf(matrix-4900, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9125), _u9127), c_SetInterval_Oord_OatLeastAtMost(_u9125, _u9129, _u9131, _u9133))) | hBOOL(hAPP(hAPP(_u9129, _u9127), _u9133)) )).
% 20.36/20.62 cnf(matrix-4901, plain, ( ~hBOOL(hAPP(hAPP(_u9130, _u9132), _u9128)) | ~hBOOL(hAPP(hAPP(_u9130, _u9128), _u9134)) | hBOOL(hAPP(hAPP(c_member(_u9126), _u9128), c_SetInterval_Oord_OatLeastAtMost(_u9126, _u9130, _u9132, _u9134))) )).
% 20.36/20.62 cnf(matrix-4902, plain, ( ~class_Groups_Oordered__ab__group__add(_u9136) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9137), _u9138)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9137, _u9136), _u9139), _u9138) != c_Groups_Ozero__class_Ozero(_u9136)) | ~hBOOL(hAPP(hAPP(c_member(_u9137), _u9140), _u9138)) | ( hAPP(_u9139, _u9140) = c_Groups_Ozero__class_Ozero(_u9136)) | hBOOL(hAPP(hAPP(c_member(_u9137), skolem181(_u9140, _u9139, _u9138, _u9137, _u9136)), _u9138)) )).
% 20.36/20.62 cnf(matrix-4903, plain, ( ~class_Groups_Oordered__ab__group__add(_u9136) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9137), _u9138)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9137, _u9136), _u9139), _u9138) != c_Groups_Ozero__class_Ozero(_u9136)) | ~hBOOL(hAPP(hAPP(c_member(_u9137), _u9140), _u9138)) | ( hAPP(_u9139, _u9140) = c_Groups_Ozero__class_Ozero(_u9136)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9136), c_Groups_Ozero__class_Ozero(_u9136)), hAPP(_u9139, skolem181(_u9140, _u9139, _u9138, _u9137, _u9136)))) )).
% 20.36/20.62 cnf(matrix-4904, plain, ( ~class_Groups_Oordered__ab__group__add(_u9142) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9143), _u9144)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9143, _u9142), _u9145), _u9144) != _u9146) | ~hBOOL(hAPP(hAPP(c_member(_u9143), _u9147), _u9144)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9142), hAPP(_u9145, _u9147)), _u9146)) | hBOOL(hAPP(hAPP(c_member(_u9143), skolem182(_u9147, _u9146, _u9145, _u9144, _u9143, _u9142)), _u9144)) )).
% 20.36/20.62 cnf(matrix-4905, plain, ( ~class_Groups_Oordered__ab__group__add(_u9142) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9143), _u9144)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9143, _u9142), _u9145), _u9144) != _u9146) | ~hBOOL(hAPP(hAPP(c_member(_u9143), _u9147), _u9144)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9142), hAPP(_u9145, _u9147)), _u9146)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9142), c_Groups_Ozero__class_Ozero(_u9142)), hAPP(_u9145, skolem182(_u9147, _u9146, _u9145, _u9144, _u9143, _u9142)))) )).
% 20.36/20.62 cnf(matrix-4906, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9148)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9149)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u9149))), 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, _u9148))), 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), _u9148)), c_Int_Onat))))) )).
% 20.36/20.62 cnf(matrix-4907, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9150)), hAPP(c_Nat_OSuc, _u9151)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u9150))), 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, _u9151))), 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)), _u9151))))) )).
% 20.36/20.62 cnf(matrix-4908, plain, ( ~class_Orderings_Olinorder(_u9152) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9152), _u9153), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9152), _u9154), _u9155))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9152), _u9153), _u9154)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9152), _u9153), _u9155)) )).
% 20.36/20.62 cnf(matrix-4909, plain, ( ~class_Orderings_Olinorder(_u9152) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9152), _u9153), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9152), _u9154), _u9155))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9152), _u9153), _u9154)) )).
% 20.36/20.62 cnf(matrix-4910, plain, ( ~class_Orderings_Olinorder(_u9152) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9152), _u9153), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9152), _u9154), _u9155))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9152), _u9153), _u9155)) )).
% 20.36/20.62 cnf(matrix-4911, plain, ( ~class_Orderings_Olinorder(_u9156) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9156), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9156), _u9157), _u9158)), _u9159)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9156), _u9157), _u9159)) )).
% 20.36/20.62 cnf(matrix-4912, plain, ( ~class_Orderings_Olinorder(_u9156) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9156), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9156), _u9157), _u9158)), _u9159)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9156), _u9158), _u9159)) )).
% 20.36/20.62 cnf(matrix-4913, plain, ( ~class_Orderings_Olinorder(_u9160) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9160), _u9161), _u9162)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9160), _u9163), _u9164)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9160), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9160), _u9161), _u9163)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9160), _u9162), _u9164))) )).
% 20.36/20.62 cnf(matrix-4914, plain, ( ~class_Orderings_Olinorder(_u9165) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9165), _u9166), _u9167)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9165), _u9168), _u9167)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9165), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9165), _u9166), _u9168)), _u9167)) )).
% 20.36/20.62 cnf(matrix-4915, plain, ( ~class_Orderings_Olinorder(_u9169) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9169), _u9170), _u9171)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9169), _u9172), _u9171)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9169), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9169), _u9170), _u9172)), _u9171)) )).
% 20.36/20.62 cnf(matrix-4916, plain, ( ~class_Orderings_Olinorder(_u9173) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9173), _u9174), _u9175)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9173), _u9175), _u9174) = _u9175) )).
% 20.36/20.62 cnf(matrix-4917, plain, ( ~class_Orderings_Olinorder(_u9176) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9176), _u9177), _u9178)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9176), _u9177), _u9178) = _u9178) )).
% 20.36/20.62 cnf(matrix-4918, plain, ( ~class_Orderings_Olinorder(_u9179) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9179), _u9180), _u9181)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9179), _u9180), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9179), _u9182), _u9181))) )).
% 20.36/20.62 cnf(matrix-4919, plain, ( ~class_Orderings_Olinorder(_u9183) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9183), _u9184), _u9185)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9183), _u9184), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9183), _u9185), _u9186))) )).
% 20.36/20.62 cnf(matrix-4920, plain, ( ~class_Orderings_Olinorder(_u9187) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9187), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9187), _u9188), _u9189)), _u9190)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9187), _u9188), _u9190)) )).
% 20.36/20.62 cnf(matrix-4921, plain, ( ~class_Orderings_Olinorder(_u9187) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9187), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9187), _u9188), _u9189)), _u9190)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9187), _u9189), _u9190)) )).
% 20.36/20.62 cnf(matrix-4922, plain, ( ~class_Orderings_Olinorder(_u9187) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9187), _u9188), _u9190)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9187), _u9189), _u9190)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9187), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9187), _u9188), _u9189)), _u9190)) )).
% 20.36/20.62 cnf(matrix-4923, plain, ( ~class_Orderings_Olinorder(_u9191) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9191), _u9192), _u9193)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9191), _u9192), _u9193) = _u9193) )).
% 20.36/20.62 cnf(matrix-4924, plain, ( ~class_Orderings_Olinorder(_u9191) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9191), _u9192), _u9193) != _u9193) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9191), _u9192), _u9193)) )).
% 20.36/20.62 cnf(matrix-4925, plain, ( ~class_Orderings_Olinorder(_u9194) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9194), _u9195), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9194), _u9196), _u9195))) )).
% 20.36/20.62 cnf(matrix-4926, plain, ( ~class_Orderings_Olinorder(_u9197) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9197), _u9198), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9197), _u9198), _u9199))) )).
% 20.36/20.62 cnf(matrix-4927, plain, ( ~class_Orderings_Olinorder(_u9200) | c_Finite__Set_Ofun__left__comm__idem(_u9200, _u9200, c_Orderings_Oord__class_Omax(_u9200)) )).
% 20.36/20.62 cnf(matrix-4928, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u9201) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9201), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9201), _u9202), _u9203)), _u9204) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9201), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9201), _u9202), _u9204)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9201), _u9203), _u9204))) )).
% 20.36/20.62 cnf(matrix-4929, plain, ( ~class_Orderings_Olinorder(_u9205) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9205), _u9206), _u9207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9205), _u9206), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9205), _u9207), _u9208))) )).
% 20.36/20.62 cnf(matrix-4930, plain, ( ~class_Orderings_Olinorder(_u9209) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9209), _u9210), _u9211)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9209), _u9210), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9209), _u9212), _u9211))) )).
% 20.36/20.62 cnf(matrix-4931, plain, ( ~class_Orderings_Olinorder(_u9213) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9213), _u9214), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9213), _u9215), _u9216))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9213), _u9214), _u9215)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9213), _u9214), _u9216)) )).
% 20.36/20.62 cnf(matrix-4932, plain, ( ~class_Orderings_Olinorder(_u9213) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9213), _u9214), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9213), _u9215), _u9216))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9213), _u9214), _u9215)) )).
% 20.36/20.62 cnf(matrix-4933, plain, ( ~class_Orderings_Olinorder(_u9213) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9213), _u9214), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9213), _u9215), _u9216))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9213), _u9214), _u9216)) )).
% 20.36/20.62 cnf(matrix-4934, plain, ( ~class_Orderings_Olinorder(_u9217) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9217), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9217), _u9218), _u9219)), _u9220)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9217), _u9218), _u9220)) )).
% 20.36/20.62 cnf(matrix-4935, plain, ( ~class_Orderings_Olinorder(_u9217) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9217), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9217), _u9218), _u9219)), _u9220)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9217), _u9219), _u9220)) )).
% 20.36/20.62 cnf(matrix-4936, plain, ( ~class_Orderings_Olinorder(_u9217) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9217), _u9218), _u9220)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9217), _u9219), _u9220)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9217), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9217), _u9218), _u9219)), _u9220)) )).
% 20.36/20.62 cnf(matrix-4937, plain, ( ~class_Groups_Oordered__ab__group__add(_u9221) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9221), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9221), _u9222), _u9223)), _u9224) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9221), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9221), _u9222), _u9224)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9221), _u9223), _u9224))) )).
% 20.36/20.62 cnf(matrix-4938, plain, ( ~class_Orderings_Olinorder(_u9225) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9225), _u9226), _u9226) = _u9226) )).
% 20.36/20.62 cnf(matrix-4939, plain, ( ~class_Orderings_Olinorder(_u9227) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9227), _u9228), _u9229) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9227), _u9229), _u9228)) )).
% 20.36/20.62 cnf(matrix-4940, plain, ( ~class_Orderings_Olinorder(_u9230) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9230), _u9231), _u9232) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9230), _u9232), _u9231)) )).
% 20.36/20.62 cnf(matrix-4941, plain, ( ~class_Orderings_Olinorder(_u9233) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9233), _u9234), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9233), _u9234), _u9235)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9233), _u9234), _u9235)) )).
% 20.36/20.62 cnf(matrix-4942, plain, ( ~class_Orderings_Olinorder(_u9236) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9236), _u9237), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9236), _u9237), _u9238)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9236), _u9237), _u9238)) )).
% 20.36/20.62 cnf(matrix-4943, plain, ( ~class_Orderings_Olinorder(_u9239) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9239), _u9240), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9239), _u9241), _u9242)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9239), _u9241), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9239), _u9240), _u9242))) )).
% 20.36/20.62 cnf(matrix-4944, plain, ( ~class_Orderings_Olinorder(_u9243) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9243), _u9244), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9243), _u9245), _u9246)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9243), _u9245), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9243), _u9244), _u9246))) )).
% 20.36/20.62 cnf(matrix-4945, plain, ( ~class_Orderings_Olinorder(_u9247) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9247), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9247), _u9248), _u9249)), _u9250) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9247), _u9248), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9247), _u9249), _u9250))) )).
% 20.36/20.62 cnf(matrix-4946, plain, ( ~class_Orderings_Olinorder(_u9251) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9251), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9251), _u9252), _u9253)), _u9254) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9251), _u9252), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9251), _u9253), _u9254))) )).
% 20.36/20.62 cnf(matrix-4947, plain, ( ~class_Orderings_Olinorder(_u9255) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9255), _u9256), _u9256) = _u9256) )).
% 20.36/20.62 cnf(matrix-4948, plain, ( ~class_Orderings_Olinorder(_u9257) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9257), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9257), _u9258), _u9259)), _u9260) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9257), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9257), _u9258), _u9260)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9257), _u9259), _u9260))) )).
% 20.36/20.62 cnf(matrix-4949, plain, ( ~class_Orderings_Olinorder(_u9261) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9261), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9261), _u9262), _u9263)), _u9264) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9261), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9261), _u9262), _u9264)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9261), _u9263), _u9264))) )).
% 20.36/20.62 cnf(matrix-4950, plain, ( ~class_Orderings_Olinorder(_u9265) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9265), _u9266), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9265), _u9267), _u9268)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9265), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9265), _u9266), _u9267)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9265), _u9266), _u9268))) )).
% 20.36/20.62 cnf(matrix-4951, plain, ( ~class_Orderings_Olinorder(_u9269) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9269), _u9270), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9269), _u9271), _u9272)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9269), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9269), _u9270), _u9271)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9269), _u9270), _u9272))) )).
% 20.36/20.62 cnf(matrix-4952, plain, ( ~class_Orderings_Olinorder(_u9273) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9273), _u9274), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9273), _u9274), _u9275)) = _u9274) )).
% 20.36/20.62 cnf(matrix-4953, plain, ( ~class_Orderings_Olinorder(_u9276) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9276), _u9277), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9276), _u9277), _u9278)) = _u9277) )).
% 20.36/20.62 cnf(matrix-4954, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9279)), hAPP(c_Nat_OSuc, _u9280)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u9279), _u9280))) )).
% 20.36/20.62 cnf(matrix-4955, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9281) = _u9281) )).
% 20.36/20.62 cnf(matrix-4956, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u9282), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u9282) )).
% 20.36/20.62 cnf(matrix-4957, plain, ( ( c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat)) )).
% 20.36/20.62 cnf(matrix-4958, plain, ( ~class_Lattices_Osemilattice__sup(_u9283) | ~class_Orderings_Olinorder(_u9283) | ( c_Lattices_Osemilattice__sup__class_Osup(_u9283) = c_Orderings_Oord__class_Omax(_u9283)) )).
% 20.36/20.62 cnf(matrix-4959, plain, ( ~class_Int_Onumber(_u9284) | ~class_Orderings_Oord(_u9284) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9284), hAPP(c_Int_Onumber__class_Onumber__of(_u9284), _u9285)), hAPP(c_Int_Onumber__class_Onumber__of(_u9284), _u9286))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9284), hAPP(c_Int_Onumber__class_Onumber__of(_u9284), _u9285)), hAPP(c_Int_Onumber__class_Onumber__of(_u9284), _u9286)) = hAPP(c_Int_Onumber__class_Onumber__of(_u9284), _u9286)) )).
% 20.36/20.62 cnf(matrix-4960, plain, ( ~class_Int_Onumber(_u9284) | ~class_Orderings_Oord(_u9284) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9284), hAPP(c_Int_Onumber__class_Onumber__of(_u9284), _u9285)), hAPP(c_Int_Onumber__class_Onumber__of(_u9284), _u9286))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9284), hAPP(c_Int_Onumber__class_Onumber__of(_u9284), _u9285)), hAPP(c_Int_Onumber__class_Onumber__of(_u9284), _u9286)) = hAPP(c_Int_Onumber__class_Onumber__of(_u9284), _u9285)) )).
% 20.36/20.62 cnf(matrix-4961, plain, ( ~class_Orderings_Olinorder(_u9287) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9287), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9287), _u9288), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9287), _u9289), _u9290))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9287), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9287), _u9288), _u9289)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9287), _u9288), _u9290)))) )).
% 20.36/20.62 cnf(matrix-4962, plain, ( ~class_Orderings_Olinorder(_u9291) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9291), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9291), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9291), _u9292), _u9293)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9291), _u9292), _u9294))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9291), _u9292), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9291), _u9293), _u9294)))) )).
% 20.36/20.62 cnf(matrix-4963, plain, ( ~class_Groups_Olinordered__ab__group__add(_u9295) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u9295), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9295), _u9296), _u9297)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9295), hAPP(c_Groups_Ouminus__class_Ouminus(_u9295), _u9296)), hAPP(c_Groups_Ouminus__class_Ouminus(_u9295), _u9297))) )).
% 20.36/20.62 cnf(matrix-4964, plain, ( ~class_Groups_Olinordered__ab__group__add(_u9298) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u9298), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9298), _u9299), _u9300)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9298), hAPP(c_Groups_Ouminus__class_Ouminus(_u9298), _u9299)), hAPP(c_Groups_Ouminus__class_Ouminus(_u9298), _u9300))) )).
% 20.36/20.62 cnf(matrix-4965, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9301), _u9302)), _u9302) = hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u9301), _u9302)) )).
% 20.36/20.62 cnf(matrix-4966, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9303)), _u9304) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u9303), 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), _u9303)), _u9304)) )).
% 20.36/20.62 cnf(matrix-4967, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u9305), hAPP(c_Nat_OSuc, _u9306)) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u9306), 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)), _u9306)), _u9305)) )).
% 20.36/20.62 cnf(matrix-4968, plain, ( ~class_Orderings_Oord(_u9307) | ( c_Orderings_Oord__class_Omax(_u9307) = c_Orderings_Oord_Omax(_u9307, c_Orderings_Oord__class_Oless__eq(_u9307))) )).
% 20.36/20.62 cnf(matrix-4969, plain, ( ~class_Orderings_Olinorder(_u9308) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9308), _u9309)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u9308, _u9308, c_Orderings_Oord__class_Omax(_u9308)), _u9310), hAPP(hAPP(c_Set_Oinsert(_u9308), _u9311), _u9309)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9308), _u9311), hAPP(hAPP(c_Finite__Set_Ofold(_u9308, _u9308, c_Orderings_Oord__class_Omax(_u9308)), _u9310), _u9309))) )).
% 20.36/20.62 cnf(matrix-4970, plain, ( ~class_Orderings_Olinorder(_u9312) | ( c_Orderings_Oord_Omin(_u9312, hAPP(c_COMBC(_u9312, _u9312, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u9312))) = c_Orderings_Oord__class_Omax(_u9312)) )).
% 20.36/20.62 cnf(matrix-4971, plain, ( ~class_Orderings_Olinorder(_u9313) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9313), _u9314)) | ~hBOOL(hAPP(hAPP(c_member(_u9313), _u9315), _u9314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9313), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9313), _u9315), _u9316)), hAPP(hAPP(c_Finite__Set_Ofold(_u9313, _u9313, c_Orderings_Oord__class_Omax(_u9313)), _u9316), _u9314))) )).
% 20.36/20.62 cnf(matrix-4972, plain, ( ~class_Orderings_Olinorder(_u9317) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9317), _u9318)) | ~hBOOL(hAPP(hAPP(c_member(_u9317), _u9319), _u9318)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9317), _u9319), c_Big__Operators_Olattice_OInf__fin(_u9317, c_Orderings_Oord__class_Omin(_u9317), _u9318)) = _u9319) )).
% 20.36/20.62 cnf(matrix-4973, plain, ( ~class_Orderings_Olinorder(_u9320) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9320), _u9321)) | ~hBOOL(hAPP(hAPP(c_member(_u9320), _u9322), _u9321)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9320, tc_HOL_Obool)), _u9321), hAPP(hAPP(c_Set_Oinsert(_u9320), _u9322), c_Orderings_Obot__class_Obot(tc_fun(_u9320, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9320, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9320, _u9321) = _u9322) )).
% 20.36/20.62 cnf(matrix-4974, plain, ( ~class_Orderings_Olinorder(_u9320) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9320), _u9321)) | ~hBOOL(hAPP(hAPP(c_member(_u9320), _u9322), _u9321)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9320, tc_HOL_Obool)), _u9321), hAPP(hAPP(c_Set_Oinsert(_u9320), _u9322), c_Orderings_Obot__class_Obot(tc_fun(_u9320, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9320, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9320, _u9321) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9320), _u9322), c_Big__Operators_Olinorder__class_OMax(_u9320, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9320, tc_HOL_Obool)), _u9321), hAPP(hAPP(c_Set_Oinsert(_u9320), _u9322), c_Orderings_Obot__class_Obot(tc_fun(_u9320, tc_HOL_Obool))))))) )).
% 20.36/20.62 cnf(matrix-4975, plain, ( ~class_Orderings_Olinorder(_u9323) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9323), _u9324)) | ( _u9324 = c_Orderings_Obot__class_Obot(tc_fun(_u9323, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9323), c_Big__Operators_Olattice_OInf__fin(_u9323, c_Orderings_Oord__class_Omin(_u9323), _u9324)), c_Big__Operators_Olattice_OSup__fin(_u9323, c_Orderings_Oord__class_Omax(_u9323), _u9324))) )).
% 20.36/20.62 cnf(matrix-4976, plain, ( ~class_Orderings_Olinorder(_u9325) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9325), _u9326)) | ~hBOOL(hAPP(hAPP(c_member(_u9325), _u9327), _u9326)) | ( 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)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9325, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9325, c_Orderings_Oord__class_Omax(_u9325), _u9326) = _u9327) )).
% 20.36/20.62 cnf(matrix-4977, plain, ( ~class_Orderings_Olinorder(_u9325) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9325), _u9326)) | ~hBOOL(hAPP(hAPP(c_member(_u9325), _u9327), _u9326)) | ( 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)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9325, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9325, c_Orderings_Oord__class_Omax(_u9325), _u9326) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9325), _u9327), c_Big__Operators_Olattice_OSup__fin(_u9325, c_Orderings_Oord__class_Omax(_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))))))) )).
% 20.36/20.62 cnf(matrix-4978, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u9329, skolem183(_u9331, _u9330, _u9329))), hAPP(_u9330, skolem183(_u9331, _u9330, _u9329)))) | ( 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), _u9330), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u9331))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u9329), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u9331))) = 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)), _u9330)), _u9329)), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u9331))) )).
% 20.36/20.62 cnf(matrix-4979, plain, ( ~class_Orderings_Olinorder(_u9332) | ( c_Big__Operators_Olinorder__class_OMax(_u9332, hAPP(hAPP(c_Set_Oinsert(_u9332), _u9333), c_Orderings_Obot__class_Obot(tc_fun(_u9332, tc_HOL_Obool)))) = _u9333) )).
% 20.36/20.62 cnf(matrix-4980, plain, ( ~class_Orderings_Olinorder(_u9334) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9334), _u9335)) | ~hBOOL(hAPP(hAPP(c_member(_u9334), _u9336), _u9335)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9334), _u9336), c_Big__Operators_Olattice_OSup__fin(_u9334, c_Orderings_Oord__class_Omax(_u9334), _u9335)) = c_Big__Operators_Olattice_OSup__fin(_u9334, c_Orderings_Oord__class_Omax(_u9334), _u9335)) )).
% 20.36/20.62 cnf(matrix-4981, plain, ( ~class_Orderings_Olinorder(_u9337) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9337), _u9338)) | ~hBOOL(hAPP(hAPP(c_member(_u9337), _u9339), _u9338)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9337), _u9339), c_Big__Operators_Olinorder__class_OMax(_u9337, _u9338))) )).
% 20.36/20.62 cnf(matrix-4982, plain, ( ~class_Orderings_Olinorder(_u9340) | ( c_Big__Operators_Olattice_OSup__fin(_u9340, c_Orderings_Oord__class_Omax(_u9340), hAPP(hAPP(c_Set_Oinsert(_u9340), _u9341), c_Orderings_Obot__class_Obot(tc_fun(_u9340, tc_HOL_Obool)))) = _u9341) )).
% 20.36/20.62 cnf(matrix-4983, plain, ( ~class_Orderings_Olinorder(_u9342) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9342), _u9343)) | ( _u9343 = c_Orderings_Obot__class_Obot(tc_fun(_u9342, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u9342), c_Big__Operators_Olinorder__class_OMax(_u9342, _u9343)), _u9343)) )).
% 20.36/20.62 cnf(matrix-4984, plain, ( ~class_Orderings_Olinorder(_u9344) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9344), _u9345)) | ~hBOOL(hAPP(hAPP(c_member(_u9344), _u9346), _u9345)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9344), _u9346), c_Big__Operators_Olinorder__class_OMax(_u9344, _u9345)) = c_Big__Operators_Olinorder__class_OMax(_u9344, _u9345)) )).
% 20.36/20.62 cnf(matrix-4985, plain, ( ~class_Orderings_Olinorder(_u9347) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9347), _u9348)) | ( c_Big__Operators_Olattice_OSup__fin(_u9347, c_Orderings_Oord__class_Omax(_u9347), _u9348) = hAPP(c_Finite__Set_Ofold1(_u9347, c_Orderings_Oord__class_Omax(_u9347)), _u9348)) )).
% 20.36/20.62 cnf(matrix-4986, plain, ( ~class_Orderings_Olinorder(_u9349) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9349), _u9350)) | ( c_Big__Operators_Olinorder__class_OMax(_u9349, _u9350) = hAPP(c_Finite__Set_Ofold1(_u9349, c_Orderings_Oord__class_Omax(_u9349)), _u9350)) )).
% 20.36/20.62 cnf(matrix-4987, plain, ( ~class_Orderings_Olinorder(_u9351) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9351), _u9352)) | ( _u9352 = c_Orderings_Obot__class_Obot(tc_fun(_u9351, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9351, c_Orderings_Oord__class_Omax(_u9351), hAPP(hAPP(c_Set_Oinsert(_u9351), _u9353), _u9352)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9351), _u9353), c_Big__Operators_Olattice_OSup__fin(_u9351, c_Orderings_Oord__class_Omax(_u9351), _u9352))) )).
% 20.36/20.62 cnf(matrix-4988, plain, ( ~class_Orderings_Olinorder(_u9354) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9354), _u9355)) | ( _u9356 = c_Orderings_Obot__class_Obot(tc_fun(_u9354, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9354, tc_HOL_Obool)), _u9356), _u9355)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9354), c_Big__Operators_Olattice_OSup__fin(_u9354, c_Orderings_Oord__class_Omax(_u9354), _u9356)), c_Big__Operators_Olattice_OSup__fin(_u9354, c_Orderings_Oord__class_Omax(_u9354), _u9355)) = c_Big__Operators_Olattice_OSup__fin(_u9354, c_Orderings_Oord__class_Omax(_u9354), _u9355)) )).
% 20.36/20.62 cnf(matrix-4989, plain, ( ~class_Orderings_Olinorder(_u9357) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9357), _u9358)) | ~hBOOL(hAPP(hAPP(c_member(_u9357), _u9359), _u9358)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9357), _u9359), c_Big__Operators_Olattice_OSup__fin(_u9357, c_Orderings_Oord__class_Omax(_u9357), _u9358)) = _u9359) )).
% 20.36/20.62 cnf(matrix-4990, plain, ( ~class_Orderings_Olinorder(_u9360) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9360), _u9361)) | ( _u9361 = c_Orderings_Obot__class_Obot(tc_fun(_u9360, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9360), _u9362)) | ( _u9362 = c_Orderings_Obot__class_Obot(tc_fun(_u9360, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9360, c_Orderings_Oord__class_Omax(_u9360), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9360, tc_HOL_Obool)), _u9361), _u9362)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9360), c_Big__Operators_Olattice_OSup__fin(_u9360, c_Orderings_Oord__class_Omax(_u9360), _u9361)), c_Big__Operators_Olattice_OSup__fin(_u9360, c_Orderings_Oord__class_Omax(_u9360), _u9362))) )).
% 20.36/20.62 cnf(matrix-4991, plain, ( ~class_Orderings_Olinorder(_u9363) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9363, tc_HOL_Obool)), _u9364), _u9365)) | ( _u9364 = c_Orderings_Obot__class_Obot(tc_fun(_u9363, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9363), _u9365)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9363), c_Big__Operators_Olinorder__class_OMax(_u9363, _u9364)), c_Big__Operators_Olinorder__class_OMax(_u9363, _u9365))) )).
% 20.36/20.62 cnf(matrix-4992, plain, ( ~class_Orderings_Olinorder(_u9366) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9366), _u9367)) | ( c_Big__Operators_Olattice_OSup__fin(_u9366, c_Orderings_Oord__class_Omax(_u9366), hAPP(hAPP(c_Set_Oinsert(_u9366), _u9368), _u9367)) = hAPP(hAPP(c_Finite__Set_Ofold(_u9366, _u9366, c_Orderings_Oord__class_Omax(_u9366)), _u9368), _u9367)) )).
% 20.36/20.62 cnf(matrix-4993, plain, ( ~class_Orderings_Olinorder(_u9369) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9369), _u9370)) | ( _u9370 = c_Orderings_Obot__class_Obot(tc_fun(_u9369, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9369, hAPP(hAPP(c_Set_Oinsert(_u9369), _u9371), _u9370)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9369), _u9371), c_Big__Operators_Olinorder__class_OMax(_u9369, _u9370))) )).
% 20.36/20.62 cnf(matrix-4994, plain, ( ~class_Orderings_Olinorder(_u9372) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9372), _u9373)) | ( _u9374 = c_Orderings_Obot__class_Obot(tc_fun(_u9372, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9372, tc_HOL_Obool)), _u9374), _u9373)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9372), c_Big__Operators_Olinorder__class_OMax(_u9372, _u9374)), c_Big__Operators_Olinorder__class_OMax(_u9372, _u9373)) = c_Big__Operators_Olinorder__class_OMax(_u9372, _u9373)) )).
% 20.36/20.62 cnf(matrix-4995, plain, ( ~class_Orderings_Olinorder(_u9375) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9375), _u9376)) | ( _u9376 = c_Orderings_Obot__class_Obot(tc_fun(_u9375, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9375), _u9377)) | ( _u9377 = c_Orderings_Obot__class_Obot(tc_fun(_u9375, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9375, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9375, tc_HOL_Obool)), _u9376), _u9377)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9375), c_Big__Operators_Olinorder__class_OMax(_u9375, _u9376)), c_Big__Operators_Olinorder__class_OMax(_u9375, _u9377))) )).
% 20.36/20.62 cnf(matrix-4996, plain, ( ~class_Orderings_Olinorder(_u9378) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9378), _u9379)) | ( c_Big__Operators_Olinorder__class_OMax(_u9378, hAPP(hAPP(c_Set_Oinsert(_u9378), _u9380), _u9379)) = hAPP(hAPP(c_Finite__Set_Ofold(_u9378, _u9378, c_Orderings_Oord__class_Omax(_u9378)), _u9380), _u9379)) )).
% 20.36/20.62 cnf(matrix-4997, plain, ( ~class_Orderings_Olinorder(_u9381) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9381), _u9382)) | hBOOL(hAPP(hAPP(c_member(_u9381), _u9383), _u9382)) | ( _u9382 = c_Orderings_Obot__class_Obot(tc_fun(_u9381, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9381, c_Orderings_Oord__class_Omax(_u9381), hAPP(hAPP(c_Set_Oinsert(_u9381), _u9383), _u9382)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9381), _u9383), c_Big__Operators_Olattice_OSup__fin(_u9381, c_Orderings_Oord__class_Omax(_u9381), _u9382))) )).
% 20.36/20.62 cnf(matrix-4998, plain, ( ~class_Orderings_Olinorder(_u9384) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9384), _u9385)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9384, tc_HOL_Obool)), _u9385), hAPP(hAPP(c_Set_Oinsert(_u9384), _u9386), c_Orderings_Obot__class_Obot(tc_fun(_u9384, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9384, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9384, c_Orderings_Oord__class_Omax(_u9384), hAPP(hAPP(c_Set_Oinsert(_u9384), _u9386), _u9385)) = _u9386) )).
% 20.36/20.62 cnf(matrix-4999, plain, ( ~class_Orderings_Olinorder(_u9384) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9384), _u9385)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9384, tc_HOL_Obool)), _u9385), hAPP(hAPP(c_Set_Oinsert(_u9384), _u9386), c_Orderings_Obot__class_Obot(tc_fun(_u9384, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9384, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9384, c_Orderings_Oord__class_Omax(_u9384), hAPP(hAPP(c_Set_Oinsert(_u9384), _u9386), _u9385)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9384), _u9386), c_Big__Operators_Olattice_OSup__fin(_u9384, c_Orderings_Oord__class_Omax(_u9384), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9384, tc_HOL_Obool)), _u9385), hAPP(hAPP(c_Set_Oinsert(_u9384), _u9386), c_Orderings_Obot__class_Obot(tc_fun(_u9384, tc_HOL_Obool))))))) )).
% 20.36/20.62 cnf(matrix-5000, plain, ( ~class_Orderings_Olinorder(_u9387) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9387), _u9388)) | ( _u9388 = c_Orderings_Obot__class_Obot(tc_fun(_u9387, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9387), _u9389)) | ( _u9389 = c_Orderings_Obot__class_Obot(tc_fun(_u9387, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9387, tc_HOL_Obool)), _u9388), _u9389) != c_Orderings_Obot__class_Obot(tc_fun(_u9387, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9387, c_Orderings_Oord__class_Omax(_u9387), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9387, tc_HOL_Obool)), _u9388), _u9389)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9387), c_Big__Operators_Olattice_OSup__fin(_u9387, c_Orderings_Oord__class_Omax(_u9387), _u9388)), c_Big__Operators_Olattice_OSup__fin(_u9387, c_Orderings_Oord__class_Omax(_u9387), _u9389))) )).
% 20.36/20.62 cnf(matrix-5001, plain, ( ~class_Orderings_Olinorder(_u9390) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9390), _u9391)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9390), _u9392)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9390, tc_HOL_Obool)), _u9391), _u9392) = c_Orderings_Obot__class_Obot(tc_fun(_u9390, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9390), c_Big__Operators_Olattice_OSup__fin(_u9390, c_Orderings_Oord__class_Omax(_u9390), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9390, tc_HOL_Obool)), _u9391), _u9392))), c_Big__Operators_Olattice_OSup__fin(_u9390, c_Orderings_Oord__class_Omax(_u9390), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9390, tc_HOL_Obool)), _u9391), _u9392))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9390), c_Big__Operators_Olattice_OSup__fin(_u9390, c_Orderings_Oord__class_Omax(_u9390), _u9391)), c_Big__Operators_Olattice_OSup__fin(_u9390, c_Orderings_Oord__class_Omax(_u9390), _u9392))) )).
% 20.36/20.62 cnf(matrix-5002, plain, ( ~class_Orderings_Olinorder(_u9393) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9393), _u9394)) | hBOOL(hAPP(hAPP(c_member(_u9393), _u9395), _u9394)) | ( c_Big__Operators_Olattice_OSup__fin(_u9393, c_Orderings_Oord__class_Omax(_u9393), hAPP(hAPP(c_Set_Oinsert(_u9393), _u9395), _u9394)) = hAPP(hAPP(c_Finite__Set_Ofold(_u9393, _u9393, c_Orderings_Oord__class_Omax(_u9393)), _u9395), _u9394)) )).
% 20.36/20.62 cnf(matrix-5003, plain, ( ~class_Orderings_Olinorder(_u9396) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9396), _u9397)) | hBOOL(hAPP(hAPP(c_member(_u9396), _u9398), _u9397)) | ( _u9397 = c_Orderings_Obot__class_Obot(tc_fun(_u9396, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9396, hAPP(hAPP(c_Set_Oinsert(_u9396), _u9398), _u9397)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9396), _u9398), c_Big__Operators_Olinorder__class_OMax(_u9396, _u9397))) )).
% 20.36/20.62 cnf(matrix-5004, plain, ( ~class_Orderings_Olinorder(_u9399) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9399), _u9400)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9399, tc_HOL_Obool)), _u9400), hAPP(hAPP(c_Set_Oinsert(_u9399), _u9401), c_Orderings_Obot__class_Obot(tc_fun(_u9399, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9399, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9399, hAPP(hAPP(c_Set_Oinsert(_u9399), _u9401), _u9400)) = _u9401) )).
% 20.36/20.62 cnf(matrix-5005, plain, ( ~class_Orderings_Olinorder(_u9399) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9399), _u9400)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9399, tc_HOL_Obool)), _u9400), hAPP(hAPP(c_Set_Oinsert(_u9399), _u9401), c_Orderings_Obot__class_Obot(tc_fun(_u9399, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9399, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9399, hAPP(hAPP(c_Set_Oinsert(_u9399), _u9401), _u9400)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9399), _u9401), c_Big__Operators_Olinorder__class_OMax(_u9399, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9399, tc_HOL_Obool)), _u9400), hAPP(hAPP(c_Set_Oinsert(_u9399), _u9401), c_Orderings_Obot__class_Obot(tc_fun(_u9399, tc_HOL_Obool))))))) )).
% 20.36/20.62 cnf(matrix-5006, plain, ( ~class_Orderings_Olinorder(_u9402) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9402), _u9403)) | ( _u9403 = c_Orderings_Obot__class_Obot(tc_fun(_u9402, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9402), _u9404)) | ( _u9404 = c_Orderings_Obot__class_Obot(tc_fun(_u9402, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9402, tc_HOL_Obool)), _u9403), _u9404) != c_Orderings_Obot__class_Obot(tc_fun(_u9402, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9402, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9402, tc_HOL_Obool)), _u9403), _u9404)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9402), c_Big__Operators_Olinorder__class_OMax(_u9402, _u9403)), c_Big__Operators_Olinorder__class_OMax(_u9402, _u9404))) )).
% 20.36/20.62 cnf(matrix-5007, plain, ( ~class_Orderings_Olinorder(_u9405) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9405), _u9406)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9405), _u9407)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9405, tc_HOL_Obool)), _u9406), _u9407) = c_Orderings_Obot__class_Obot(tc_fun(_u9405, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9405), c_Big__Operators_Olinorder__class_OMax(_u9405, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9405, tc_HOL_Obool)), _u9406), _u9407))), c_Big__Operators_Olinorder__class_OMax(_u9405, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9405, tc_HOL_Obool)), _u9406), _u9407))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9405), c_Big__Operators_Olinorder__class_OMax(_u9405, _u9406)), c_Big__Operators_Olinorder__class_OMax(_u9405, _u9407))) )).
% 20.36/20.62 cnf(matrix-5008, plain, ( ~class_Orderings_Olinorder(_u9408) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9408), _u9409)) | hBOOL(hAPP(hAPP(c_member(_u9408), _u9410), _u9409)) | ( c_Big__Operators_Olinorder__class_OMax(_u9408, hAPP(hAPP(c_Set_Oinsert(_u9408), _u9410), _u9409)) = hAPP(hAPP(c_Finite__Set_Ofold(_u9408, _u9408, c_Orderings_Oord__class_Omax(_u9408)), _u9410), _u9409)) )).
% 20.36/20.62 cnf(matrix-5009, plain, ( ~class_Orderings_Olinorder(_u9413) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9413), _u9414)) | ( _u9414 = c_Orderings_Obot__class_Obot(tc_fun(_u9413, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9413), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9413), skolem184(_u9414, _u9413)), skolem185(_u9414, _u9413))), hAPP(hAPP(c_Set_Oinsert(_u9413), skolem184(_u9414, _u9413)), hAPP(hAPP(c_Set_Oinsert(_u9413), skolem185(_u9414, _u9413)), c_Orderings_Obot__class_Obot(tc_fun(_u9413, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u9413), c_Big__Operators_Olattice_OSup__fin(_u9413, c_Orderings_Oord__class_Omax(_u9413), _u9414)), _u9414)) )).
% 20.36/20.62 cnf(matrix-5010, plain, ( ~class_Orderings_Olinorder(_u9417) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9417), _u9418)) | ( _u9418 = c_Orderings_Obot__class_Obot(tc_fun(_u9417, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9417), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9417), skolem186(_u9418, _u9417)), skolem187(_u9418, _u9417))), hAPP(hAPP(c_Set_Oinsert(_u9417), skolem186(_u9418, _u9417)), hAPP(hAPP(c_Set_Oinsert(_u9417), skolem187(_u9418, _u9417)), c_Orderings_Obot__class_Obot(tc_fun(_u9417, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u9417), c_Big__Operators_Olinorder__class_OMax(_u9417, _u9418)), _u9418)) )).
% 20.36/20.62 cnf(matrix-5011, plain, ( ( hAPP(c_Product__Type_Oapfst(_u9419, _u9420, _u9421, _u9422), hAPP(c_Product__Type_Oapsnd(_u9423, _u9421, _u9419, _u9424), _u9425)) = hAPP(hAPP(c_Product__Type_OPair(_u9420, _u9421), hAPP(_u9422, hAPP(c_Product__Type_Ofst(_u9419, _u9423), _u9425))), hAPP(_u9424, hAPP(c_Product__Type_Osnd(_u9419, _u9423), _u9425)))) )).
% 20.36/20.62 cnf(matrix-5012, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u9426, _u9427, _u9428, _u9429), hAPP(c_Product__Type_Oapfst(_u9430, _u9428, _u9426, _u9431), _u9432)) = hAPP(hAPP(c_Product__Type_OPair(_u9428, _u9427), hAPP(_u9431, hAPP(c_Product__Type_Ofst(_u9430, _u9426), _u9432))), hAPP(_u9429, hAPP(c_Product__Type_Osnd(_u9430, _u9426), _u9432)))) )).
% 20.36/20.62 cnf(matrix-5013, plain, ( ( hAPP(c_Product__Type_Oapfst(_u9433, _u9434, _u9435, _u9436), hAPP(hAPP(c_Product__Type_OPair(_u9433, _u9435), _u9437), _u9438)) = hAPP(hAPP(c_Product__Type_OPair(_u9434, _u9435), hAPP(_u9436, _u9437)), _u9438)) )).
% 20.36/20.62 cnf(matrix-5014, plain, ( ( hAPP(c_Product__Type_Oapfst(_u9445, _u9447, _u9449, _u9451), _u9453) != hAPP(c_Product__Type_Oapfst(_u9445, _u9447, _u9449, _u9455), _u9453)) | ( hAPP(_u9451, hAPP(c_Product__Type_Ofst(_u9445, _u9449), _u9453)) = hAPP(_u9455, hAPP(c_Product__Type_Ofst(_u9445, _u9449), _u9453))) )).
% 20.36/20.62 cnf(matrix-5015, plain, ( ( hAPP(_u9452, hAPP(c_Product__Type_Ofst(_u9446, _u9450), _u9454)) != hAPP(_u9456, hAPP(c_Product__Type_Ofst(_u9446, _u9450), _u9454))) | ( hAPP(c_Product__Type_Oapfst(_u9446, _u9448, _u9450, _u9452), _u9454) = hAPP(c_Product__Type_Oapfst(_u9446, _u9448, _u9450, _u9456), _u9454)) )).
% 20.36/20.62 cnf(matrix-5016, plain, ( ( hAPP(c_Product__Type_Ofst(_u9457, _u9458), hAPP(c_Product__Type_Oapfst(_u9459, _u9457, _u9458, _u9460), _u9461)) = hAPP(_u9460, hAPP(c_Product__Type_Ofst(_u9459, _u9458), _u9461))) )).
% 20.36/20.62 cnf(matrix-5017, plain, ( ( hAPP(c_Product__Type_Osnd(_u9462, _u9463), hAPP(c_Product__Type_Oapfst(_u9464, _u9462, _u9463, _u9465), _u9466)) = hAPP(c_Product__Type_Osnd(_u9464, _u9463), _u9466)) )).
% 20.36/20.62 cnf(matrix-5018, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u9467, _u9468, _u9469, _u9470), hAPP(c_Product__Type_Oapfst(_u9471, _u9469, _u9467, _u9472), _u9473)) = hAPP(c_Product__Type_Oapfst(_u9471, _u9469, _u9468, _u9472), hAPP(c_Product__Type_Oapsnd(_u9467, _u9468, _u9471, _u9470), _u9473))) )).
% 20.36/20.62 cnf(matrix-5019, plain, ( ~class_Groups_Oab__group__add(_u9474) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9475), _u9476)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9474), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u9474, _u9474), hAPP(hAPP(c_COMBB(_u9474, tc_fun(_u9474, _u9474), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u9474)), _u9477)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u9474, tc_Nat_Onat), _u9477), 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, _u9475, _u9476)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9474), hAPP(_u9477, _u9475)), hAPP(_u9477, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9476), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 20.36/20.62 cnf(matrix-5020, plain, ( ~class_Groups_Oab__group__add(_u9474) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9475), _u9476)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9474), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u9474, _u9474), hAPP(hAPP(c_COMBB(_u9474, tc_fun(_u9474, _u9474), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u9474)), _u9477)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u9474, tc_Nat_Onat), _u9477), 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, _u9475, _u9476)) = c_Groups_Ozero__class_Ozero(_u9474)) )).
% 20.36/20.62 cnf(matrix-5021, plain, ( ~class_Rings_Ocomm__semiring__1(_u9478) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9478), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9478), c_Groups_Oone__class_Oone(_u9478)), c_Groups_Oone__class_Oone(_u9478))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9478), c_Nat_Osemiring__1__class_Oof__nat(_u9478)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u9479))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9478), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9478), _u9479)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9478), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9478), _u9479)), c_Groups_Oone__class_Oone(_u9478)))) )).
% 20.36/20.62 cnf(matrix-5022, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9480) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9481), _u9482)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9481, _u9480), _u9482), _u9483) = hAPP(hAPP(c_Finite__Set_Ofold(_u9481, _u9480, hAPP(hAPP(c_COMBB(_u9480, tc_fun(_u9480, _u9480), _u9481), c_Lattices_Osemilattice__inf__class_Oinf(_u9480)), _u9483)), c_Orderings_Otop__class_Otop(_u9480)), _u9482)) )).
% 20.36/20.62 cnf(matrix-5023, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9484) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9485), _u9486)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9485, _u9484), _u9486), _u9487) = hAPP(hAPP(c_Finite__Set_Ofold(_u9485, _u9484, hAPP(hAPP(c_COMBB(_u9484, tc_fun(_u9484, _u9484), _u9485), c_Lattices_Osemilattice__sup__class_Osup(_u9484)), _u9487)), c_Orderings_Obot__class_Obot(_u9484)), _u9486)) )).
% 20.36/20.62 cnf(matrix-5024, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9488), _u9489), _u9490)) | ~hBOOL(hAPP(hAPP(_u9491, _u9489), _u9492)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9488, tc_fun(_u9493, tc_HOL_Obool)), _u9490), _u9491), _u9492)) )).
% 20.36/20.62 cnf(matrix-5025, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9494), _u9495), _u9496)) | ~hBOOL(hAPP(hAPP(c_member(_u9497), _u9498), hAPP(_u9499, _u9495))) | hBOOL(hAPP(hAPP(c_member(_u9497), _u9498), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9494, tc_fun(_u9497, tc_HOL_Obool)), _u9496), _u9499))) )).
% 20.36/20.62 cnf(matrix-5026, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9500, tc_fun(_u9501, tc_HOL_Obool)), _u9502), _u9503), _u9504)) | hBOOL(hAPP(hAPP(_u9503, _u9505), _u9504)) | ~hBOOL(hAPP(hAPP(c_member(_u9500), _u9505), _u9502)) )).
% 20.36/20.62 cnf(matrix-5027, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9506, tc_fun(_u9507, tc_HOL_Obool)), _u9508), _u9509), _u9510)) | ~hBOOL(hAPP(hAPP(c_member(_u9506), _u9511), _u9508)) | hBOOL(hAPP(hAPP(_u9509, _u9511), _u9510)) )).
% 20.36/20.62 cnf(matrix-5028, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9512), _u9513), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9514, tc_fun(_u9512, tc_HOL_Obool)), _u9515), _u9516))) | ~hBOOL(hAPP(hAPP(c_member(_u9514), _u9517), _u9515)) | hBOOL(hAPP(hAPP(c_member(_u9512), _u9513), hAPP(_u9516, _u9517))) )).
% 20.36/20.62 cnf(matrix-5029, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9518), _u9519), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9520, tc_fun(_u9518, tc_HOL_Obool)), _u9521), _u9522))) | hBOOL(hAPP(hAPP(c_member(_u9518), _u9519), hAPP(_u9522, _u9523))) | ~hBOOL(hAPP(hAPP(c_member(_u9520), _u9523), _u9521)) )).
% 20.36/20.62 cnf(matrix-5030, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9524), _u9525), _u9526)) | ~hBOOL(hAPP(hAPP(hAPP(_u9527, _u9525), _u9528), _u9529)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9524, tc_fun(_u9530, tc_fun(_u9531, tc_HOL_Obool))), _u9526), _u9527), _u9528), _u9529)) )).
% 20.36/20.62 cnf(matrix-5031, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9532, tc_fun(_u9533, tc_fun(_u9534, tc_HOL_Obool))), _u9535), _u9536), _u9537), _u9538)) | ~hBOOL(hAPP(hAPP(c_member(_u9532), _u9539), _u9535)) | hBOOL(hAPP(hAPP(hAPP(_u9536, _u9539), _u9537), _u9538)) )).
% 20.36/20.62 cnf(matrix-5032, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9540, tc_fun(_u9541, tc_fun(_u9542, tc_HOL_Obool))), _u9543), _u9544), _u9545), _u9546)) | hBOOL(hAPP(hAPP(hAPP(_u9544, _u9547), _u9545), _u9546)) | ~hBOOL(hAPP(hAPP(c_member(_u9540), _u9547), _u9543)) )).
% 20.36/20.62 cnf(matrix-5033, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9549), _u9548), _u9550)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9551), hAPP(_u9552, _u9548))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9551), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9549, tc_fun(_u9551, tc_HOL_Obool)), _u9550), _u9552))) )).
% 20.36/20.62 cnf(matrix-5034, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u9553, _u9554))) )).
% 20.36/20.62 cnf(matrix-5035, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u9555), _u9556), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9557, tc_fun(_u9555, tc_HOL_Obool)), _u9558), _u9559)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9557, tc_fun(_u9555, tc_HOL_Obool)), _u9558), hAPP(hAPP(c_COMBB(tc_fun(_u9555, tc_HOL_Obool), tc_fun(_u9555, tc_HOL_Obool), _u9557), hAPP(c_Set_Oinsert(_u9555), _u9556)), _u9559))) )).
% 20.36/20.62 cnf(matrix-5036, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9560, tc_fun(_u9561, tc_HOL_Obool)), _u9562), hAPP(hAPP(c_COMBB(tc_fun(_u9561, tc_HOL_Obool), tc_fun(_u9561, tc_HOL_Obool), _u9560), hAPP(c_Set_Oinsert(_u9561), _u9563)), _u9564)) = hAPP(hAPP(c_Set_Oinsert(_u9561), _u9563), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9560, tc_fun(_u9561, tc_HOL_Obool)), _u9562), _u9564))) )).
% 20.36/20.62 cnf(matrix-5037, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9567), _u9568)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9569), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9567, tc_fun(_u9569, tc_HOL_Obool)), _u9568), _u9570))) | ~hBOOL(hAPP(hAPP(c_member(_u9567), _u9565), _u9568)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9569), hAPP(_u9570, _u9565))) )).
% 20.36/20.62 cnf(matrix-5038, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9567), _u9568)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9569), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9567, tc_fun(_u9569, tc_HOL_Obool)), _u9568), _u9570))) | hBOOL(hAPP(hAPP(c_member(_u9567), skolem188(_u9570, _u9569, _u9568, _u9567)), _u9568)) )).
% 20.36/20.62 cnf(matrix-5039, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9567), _u9568)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9569), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9567, tc_fun(_u9569, tc_HOL_Obool)), _u9568), _u9570))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9569), hAPP(_u9570, skolem188(_u9570, _u9569, _u9568, _u9567)))) )).
% 20.36/20.62 cnf(matrix-5040, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9577, tc_fun(_u9579, tc_HOL_Obool)), _u9581), _u9583) != c_Orderings_Obot__class_Obot(tc_fun(_u9579, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9577), _u9571), _u9581)) | ( hAPP(_u9583, _u9571) = c_Orderings_Obot__class_Obot(tc_fun(_u9579, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5041, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9578, tc_fun(_u9580, tc_HOL_Obool)), _u9582), _u9584) = c_Orderings_Obot__class_Obot(tc_fun(_u9580, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u9578), skolem189(_u9584, _u9582, _u9580, _u9578)), _u9582)) )).
% 20.36/20.62 cnf(matrix-5042, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9578, tc_fun(_u9580, tc_HOL_Obool)), _u9582), _u9584) = c_Orderings_Obot__class_Obot(tc_fun(_u9580, tc_HOL_Obool))) | ( hAPP(_u9584, skolem189(_u9584, _u9582, _u9580, _u9578)) != c_Orderings_Obot__class_Obot(tc_fun(_u9580, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5043, plain, ( ( _u9589 != c_Orderings_Obot__class_Obot(tc_fun(_u9591, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9591, tc_fun(_u9593, tc_HOL_Obool)), _u9589), hAPP(c_COMBK(tc_fun(_u9593, tc_HOL_Obool), _u9591), _u9595)) = c_Orderings_Obot__class_Obot(tc_fun(_u9593, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5044, plain, ( ( _u9590 = c_Orderings_Obot__class_Obot(tc_fun(_u9592, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9592, tc_fun(_u9594, tc_HOL_Obool)), _u9590), hAPP(c_COMBK(tc_fun(_u9594, tc_HOL_Obool), _u9592), _u9596)) = _u9596) )).
% 20.36/20.62 cnf(matrix-5045, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9597, tc_fun(_u9598, tc_HOL_Obool)), _u9599), hAPP(c_COMBK(tc_fun(_u9598, tc_HOL_Obool), _u9597), c_Orderings_Obot__class_Obot(tc_fun(_u9598, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9598, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5046, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u9606, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9608, tc_fun(_u9606, tc_HOL_Obool)), _u9610), _u9612)) | ~hBOOL(hAPP(hAPP(c_member(_u9608), _u9600), _u9610)) | ( hAPP(_u9612, _u9600) = c_Orderings_Obot__class_Obot(tc_fun(_u9606, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5047, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u9607, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9609, tc_fun(_u9607, tc_HOL_Obool)), _u9611), _u9613)) | hBOOL(hAPP(hAPP(c_member(_u9609), skolem190(_u9613, _u9611, _u9609, _u9607)), _u9611)) )).
% 20.36/20.62 cnf(matrix-5048, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u9607, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9609, tc_fun(_u9607, tc_HOL_Obool)), _u9611), _u9613)) | ( hAPP(_u9613, skolem190(_u9613, _u9611, _u9609, _u9607)) != c_Orderings_Obot__class_Obot(tc_fun(_u9607, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5049, plain, ( ( _u9619 != c_Orderings_Obot__class_Obot(tc_fun(_u9621, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9623, tc_HOL_Obool)), _u9625), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9621, tc_fun(_u9623, tc_HOL_Obool)), _u9619), _u9627)) = _u9625) )).
% 20.36/20.62 cnf(matrix-5050, plain, ( ( _u9620 = c_Orderings_Obot__class_Obot(tc_fun(_u9622, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9624, tc_HOL_Obool)), _u9626), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9622, tc_fun(_u9624, tc_HOL_Obool)), _u9620), _u9628)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9622, tc_fun(_u9624, tc_HOL_Obool)), _u9620), hAPP(hAPP(c_COMBB(tc_fun(_u9624, tc_HOL_Obool), tc_fun(_u9624, tc_HOL_Obool), _u9622), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9624, tc_HOL_Obool)), _u9626)), _u9628))) )).
% 20.36/20.62 cnf(matrix-5051, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9629, tc_HOL_Obool), _u9630) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u9629, tc_HOL_Obool), tc_fun(_u9629, tc_HOL_Obool)), _u9630), c_COMBI(tc_fun(_u9629, tc_HOL_Obool)))) )).
% 20.36/20.62 cnf(matrix-5052, plain, ( ( hAPP(c_Set_OPow(_u9631), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9632, tc_fun(_u9631, tc_HOL_Obool)), _u9633), _u9634)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9632, tc_fun(tc_fun(_u9631, tc_HOL_Obool), tc_HOL_Obool)), _u9633), hAPP(hAPP(c_COMBB(tc_fun(_u9631, tc_HOL_Obool), tc_fun(tc_fun(_u9631, tc_HOL_Obool), tc_HOL_Obool), _u9632), c_Set_OPow(_u9631)), _u9634))) )).
% 20.36/20.62 cnf(matrix-5053, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9635, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9636, tc_fun(_u9635, tc_HOL_Obool)), _u9637), _u9638)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9636, tc_fun(_u9635, tc_HOL_Obool)), _u9637), hAPP(hAPP(c_COMBB(tc_fun(_u9635, tc_HOL_Obool), tc_fun(_u9635, tc_HOL_Obool), _u9636), c_Groups_Ouminus__class_Ouminus(tc_fun(_u9635, tc_HOL_Obool))), _u9638))) )).
% 20.36/20.62 cnf(matrix-5054, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9639, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9640, tc_fun(_u9639, tc_HOL_Obool)), _u9641), _u9642)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9640, tc_fun(_u9639, tc_HOL_Obool)), _u9641), hAPP(hAPP(c_COMBB(tc_fun(_u9639, tc_HOL_Obool), tc_fun(_u9639, tc_HOL_Obool), _u9640), c_Groups_Ouminus__class_Ouminus(tc_fun(_u9639, tc_HOL_Obool))), _u9642))) )).
% 20.36/20.62 cnf(matrix-5055, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9643) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9644, tc_fun(_u9645, _u9643)), _u9646), _u9647), _u9648) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9644, _u9643), _u9646), hAPP(hAPP(c_COMBC(_u9644, _u9645, _u9643), _u9647), _u9648))) )).
% 20.36/20.62 cnf(matrix-5056, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9649) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9650, tc_fun(_u9651, _u9649)), _u9652), _u9653), _u9654) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9650, _u9649), _u9652), hAPP(hAPP(c_COMBC(_u9650, _u9651, _u9649), _u9653), _u9654))) )).
% 20.36/20.62 cnf(matrix-5057, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9655) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9656, _u9655), _u9657), hAPP(hAPP(c_COMBB(tc_fun(_u9658, _u9655), _u9655, _u9656), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9658, _u9655), _u9659)), _u9660)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9658, _u9655), _u9659), hAPP(hAPP(c_COMBB(tc_fun(_u9656, _u9655), _u9655, _u9658), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9656, _u9655), _u9657)), hAPP(c_COMBC(_u9656, _u9658, _u9655), _u9660)))) )).
% 20.36/20.62 cnf(matrix-5058, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9661) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9662, _u9661), _u9663), hAPP(hAPP(c_COMBB(tc_fun(_u9664, _u9661), _u9661, _u9662), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9664, _u9661), _u9665)), _u9666)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9664, _u9661), _u9665), hAPP(hAPP(c_COMBB(tc_fun(_u9662, _u9661), _u9661, _u9664), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9662, _u9661), _u9663)), hAPP(c_COMBC(_u9662, _u9664, _u9661), _u9666)))) )).
% 20.36/20.62 cnf(matrix-5059, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u9667, tc_HOL_Obool), tc_fun(_u9668, tc_HOL_Obool)), _u9669), hAPP(hAPP(c_COMBC(tc_fun(_u9667, tc_HOL_Obool), tc_fun(_u9667, tc_fun(_u9668, tc_HOL_Obool)), tc_fun(_u9668, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9667, tc_fun(_u9668, tc_HOL_Obool))), _u9670)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9667, tc_fun(_u9668, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9667, tc_HOL_Obool), _u9669)), _u9670)) )).
% 20.36/20.62 cnf(matrix-5060, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u9671, tc_HOL_Obool), tc_fun(_u9672, tc_HOL_Obool)), _u9673), hAPP(hAPP(c_COMBC(tc_fun(_u9671, tc_HOL_Obool), tc_fun(_u9671, tc_fun(_u9672, tc_HOL_Obool)), tc_fun(_u9672, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9671, tc_fun(_u9672, tc_HOL_Obool))), _u9674)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9671, tc_fun(_u9672, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9671, tc_HOL_Obool), _u9673)), _u9674)) )).
% 20.36/20.62 cnf(matrix-5061, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9675, tc_fun(_u9676, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9675, tc_HOL_Obool), _u9677)), _u9678) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u9675, tc_HOL_Obool), tc_fun(_u9676, tc_HOL_Obool)), _u9677), hAPP(hAPP(c_COMBC(tc_fun(_u9675, tc_HOL_Obool), tc_fun(_u9675, tc_fun(_u9676, tc_HOL_Obool)), tc_fun(_u9676, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9675, tc_fun(_u9676, tc_HOL_Obool))), _u9678))) )).
% 20.36/20.62 cnf(matrix-5062, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9679, tc_fun(_u9680, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9679, tc_HOL_Obool), _u9681)), _u9682) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u9679, tc_HOL_Obool), tc_fun(_u9680, tc_HOL_Obool)), _u9681), hAPP(hAPP(c_COMBC(tc_fun(_u9679, tc_HOL_Obool), tc_fun(_u9679, tc_fun(_u9680, tc_HOL_Obool)), tc_fun(_u9680, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9679, tc_fun(_u9680, tc_HOL_Obool))), _u9682))) )).
% 20.36/20.62 cnf(matrix-5063, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9683, tc_fun(_u9684, tc_HOL_Obool)), _u9685), hAPP(hAPP(c_COMBB(tc_fun(_u9684, tc_HOL_Obool), tc_fun(_u9684, tc_HOL_Obool), _u9683), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9684, tc_HOL_Obool)), _u9686)), _u9687)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9684, tc_HOL_Obool)), _u9686), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9683, tc_fun(_u9684, tc_HOL_Obool)), _u9685), _u9687))) )).
% 20.36/20.62 cnf(matrix-5064, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9688, tc_fun(_u9689, tc_HOL_Obool)), _u9690), hAPP(hAPP(c_COMBC(_u9688, tc_fun(_u9689, tc_HOL_Obool), tc_fun(_u9689, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9689, tc_HOL_Obool), tc_fun(tc_fun(_u9689, tc_HOL_Obool), tc_fun(_u9689, tc_HOL_Obool)), _u9688), c_Groups_Ominus__class_Ominus(tc_fun(_u9689, tc_HOL_Obool))), _u9691)), _u9692)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9689, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9688, tc_fun(_u9689, tc_HOL_Obool)), _u9690), _u9691)), _u9692)) )).
% 20.36/20.62 cnf(matrix-5065, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9693, tc_HOL_Obool)), _u9694), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9695, tc_fun(_u9693, tc_HOL_Obool)), _u9696), _u9697)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9695, tc_fun(_u9693, tc_HOL_Obool)), _u9696), hAPP(hAPP(c_COMBB(tc_fun(_u9693, tc_HOL_Obool), tc_fun(_u9693, tc_HOL_Obool), _u9695), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9693, tc_HOL_Obool)), _u9694)), _u9697))) )).
% 20.36/20.62 cnf(matrix-5066, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9698, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9699, tc_fun(_u9698, tc_HOL_Obool)), _u9700), _u9701)), _u9702) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9699, tc_fun(_u9698, tc_HOL_Obool)), _u9700), hAPP(hAPP(c_COMBC(_u9699, tc_fun(_u9698, tc_HOL_Obool), tc_fun(_u9698, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9698, tc_HOL_Obool), tc_fun(tc_fun(_u9698, tc_HOL_Obool), tc_fun(_u9698, tc_HOL_Obool)), _u9699), c_Groups_Ominus__class_Ominus(tc_fun(_u9698, tc_HOL_Obool))), _u9701)), _u9702))) )).
% 20.36/20.62 cnf(matrix-5067, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9710), _u9712), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9714, tc_fun(_u9710, tc_HOL_Obool)), _u9716), _u9718))) | hBOOL(hAPP(hAPP(c_member(_u9714), skolem191(_u9718, _u9716, _u9714, _u9712, _u9710)), _u9716)) )).
% 20.36/20.62 cnf(matrix-5068, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9710), _u9712), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9714, tc_fun(_u9710, tc_HOL_Obool)), _u9716), _u9718))) | hBOOL(hAPP(hAPP(c_member(_u9710), _u9712), hAPP(_u9718, skolem191(_u9718, _u9716, _u9714, _u9712, _u9710)))) )).
% 20.36/20.62 cnf(matrix-5069, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9715), _u9704), _u9717)) | ~hBOOL(hAPP(hAPP(c_member(_u9711), _u9713), hAPP(_u9719, _u9704))) | hBOOL(hAPP(hAPP(c_member(_u9711), _u9713), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9715, tc_fun(_u9711, tc_HOL_Obool)), _u9717), _u9719))) )).
% 20.36/20.62 cnf(matrix-5070, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9727), _u9729), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9731, tc_fun(_u9727, tc_HOL_Obool)), _u9733), _u9735))) | ~hBOOL(hAPP(hAPP(c_member(_u9731), _u9720), _u9733)) | hBOOL(hAPP(hAPP(c_member(_u9727), _u9729), hAPP(_u9735, _u9720))) )).
% 20.36/20.62 cnf(matrix-5071, plain, ( hBOOL(hAPP(hAPP(c_member(_u9728), _u9730), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9732, tc_fun(_u9728, tc_HOL_Obool)), _u9734), _u9736))) | hBOOL(hAPP(hAPP(c_member(_u9732), skolem192(_u9736, _u9734, _u9732, _u9730, _u9728)), _u9734)) )).
% 20.36/20.62 cnf(matrix-5072, plain, ( hBOOL(hAPP(hAPP(c_member(_u9728), _u9730), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9732, tc_fun(_u9728, tc_HOL_Obool)), _u9734), _u9736))) | ~hBOOL(hAPP(hAPP(c_member(_u9728), _u9730), hAPP(_u9736, skolem192(_u9736, _u9734, _u9732, _u9730, _u9728)))) )).
% 20.36/20.62 cnf(matrix-5073, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9744, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9746, tc_fun(_u9744, tc_HOL_Obool)), _u9748), _u9750)), _u9752)) | ~hBOOL(hAPP(hAPP(c_member(_u9746), _u9737), _u9748)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9744, tc_HOL_Obool)), hAPP(_u9750, _u9737)), _u9752)) )).
% 20.36/20.62 cnf(matrix-5074, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9745, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9747, tc_fun(_u9745, tc_HOL_Obool)), _u9749), _u9751)), _u9753)) | hBOOL(hAPP(hAPP(c_member(_u9747), skolem193(_u9753, _u9751, _u9749, _u9747, _u9745)), _u9749)) )).
% 20.36/20.62 cnf(matrix-5075, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9745, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9747, tc_fun(_u9745, tc_HOL_Obool)), _u9749), _u9751)), _u9753)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9745, tc_HOL_Obool)), hAPP(_u9751, skolem193(_u9753, _u9751, _u9749, _u9747, _u9745))), _u9753)) )).
% 20.36/20.62 cnf(matrix-5076, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9761, tc_HOL_Obool)), _u9763), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9765, tc_fun(_u9761, tc_HOL_Obool)), _u9767), _u9769))) | ~hBOOL(hAPP(hAPP(c_member(_u9765), _u9754), _u9767)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9761, tc_HOL_Obool)), _u9763), hAPP(_u9769, _u9754))) )).
% 20.36/20.62 cnf(matrix-5077, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9762, tc_HOL_Obool)), _u9764), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9766, tc_fun(_u9762, tc_HOL_Obool)), _u9768), _u9770))) | hBOOL(hAPP(hAPP(c_member(_u9766), skolem194(_u9770, _u9768, _u9766, _u9764, _u9762)), _u9768)) )).
% 20.36/20.62 cnf(matrix-5078, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9762, tc_HOL_Obool)), _u9764), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9766, tc_fun(_u9762, tc_HOL_Obool)), _u9768), _u9770))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9762, tc_HOL_Obool)), _u9764), hAPP(_u9770, skolem194(_u9770, _u9768, _u9766, _u9764, _u9762)))) )).
% 20.36/20.62 cnf(matrix-5079, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u9771, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9772, tc_fun(tc_fun(_u9771, tc_HOL_Obool), tc_HOL_Obool)), _u9773), hAPP(hAPP(c_COMBB(tc_fun(_u9771, tc_HOL_Obool), tc_fun(tc_fun(_u9771, tc_HOL_Obool), tc_HOL_Obool), _u9772), c_Set_OPow(_u9771)), _u9774))), hAPP(c_Set_OPow(_u9771), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9772, tc_fun(_u9771, tc_HOL_Obool)), _u9773), _u9774)))) )).
% 20.36/20.62 cnf(matrix-5080, plain, ( ( hAPP(c_Set_Ovimage(_u9775, _u9776, _u9777), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9778, tc_fun(_u9776, tc_HOL_Obool)), _u9779), _u9780)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9778, tc_fun(_u9775, tc_HOL_Obool)), _u9779), hAPP(hAPP(c_COMBB(tc_fun(_u9776, tc_HOL_Obool), tc_fun(_u9775, tc_HOL_Obool), _u9778), c_Set_Ovimage(_u9775, _u9776, _u9777)), _u9780))) )).
% 20.36/20.62 cnf(matrix-5081, plain, ( ( hAPP(c_Set_Ovimage(_u9781, _u9782, _u9783), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9784, tc_fun(_u9782, tc_HOL_Obool)), _u9785), _u9786)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9784, tc_fun(_u9781, tc_HOL_Obool)), _u9785), hAPP(hAPP(c_COMBB(tc_fun(_u9782, tc_HOL_Obool), tc_fun(_u9781, tc_HOL_Obool), _u9784), c_Set_Ovimage(_u9781, _u9782, _u9783)), _u9786))) )).
% 20.36/20.62 cnf(matrix-5082, plain, ( ( hAPP(c_Relation_OImage(_u9787, _u9788, _u9789), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9790, tc_fun(_u9787, tc_HOL_Obool)), _u9791), _u9792)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9790, tc_fun(_u9788, tc_HOL_Obool)), _u9791), hAPP(hAPP(c_COMBB(tc_fun(_u9787, tc_HOL_Obool), tc_fun(_u9788, tc_HOL_Obool), _u9790), c_Relation_OImage(_u9787, _u9788, _u9789)), _u9792))) )).
% 20.36/20.62 cnf(matrix-5083, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9793, tc_fun(_u9794, tc_HOL_Obool)), _u9795), hAPP(hAPP(c_COMBB(tc_fun(_u9794, tc_HOL_Obool), tc_fun(_u9794, tc_HOL_Obool), _u9793), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9794, tc_HOL_Obool)), _u9796)), _u9797)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9794, tc_HOL_Obool)), _u9796), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9793, tc_fun(_u9794, tc_HOL_Obool)), _u9795), _u9797))) )).
% 20.36/20.62 cnf(matrix-5084, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9798, tc_fun(_u9799, tc_HOL_Obool)), _u9800), hAPP(hAPP(c_COMBC(_u9798, tc_fun(_u9799, tc_HOL_Obool), tc_fun(_u9799, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9799, tc_HOL_Obool), tc_fun(tc_fun(_u9799, tc_HOL_Obool), tc_fun(_u9799, tc_HOL_Obool)), _u9798), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9799, tc_HOL_Obool))), _u9801)), _u9802)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9799, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9798, tc_fun(_u9799, tc_HOL_Obool)), _u9800), _u9801)), _u9802)) )).
% 20.36/20.62 cnf(matrix-5085, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9803, tc_fun(_u9804, tc_HOL_Obool)), _u9805), hAPP(hAPP(c_COMBS(_u9803, tc_fun(_u9804, tc_HOL_Obool), tc_fun(_u9804, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9804, tc_HOL_Obool), tc_fun(tc_fun(_u9804, tc_HOL_Obool), tc_fun(_u9804, tc_HOL_Obool)), _u9803), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9804, tc_HOL_Obool))), _u9806)), _u9807)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9804, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9803, tc_fun(_u9804, tc_HOL_Obool)), _u9805), _u9806)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9803, tc_fun(_u9804, tc_HOL_Obool)), _u9805), _u9807))) )).
% 20.36/20.62 cnf(matrix-5086, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9808, tc_HOL_Obool)), _u9809), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9810, tc_fun(_u9808, tc_HOL_Obool)), _u9811), _u9812)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9810, tc_fun(_u9808, tc_HOL_Obool)), _u9811), hAPP(hAPP(c_COMBB(tc_fun(_u9808, tc_HOL_Obool), tc_fun(_u9808, tc_HOL_Obool), _u9810), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9808, tc_HOL_Obool)), _u9809)), _u9812))) )).
% 20.36/20.62 cnf(matrix-5087, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9813, tc_HOL_Obool)), _u9814), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9815, tc_fun(_u9813, tc_HOL_Obool)), _u9816), _u9817)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9815, tc_fun(_u9813, tc_HOL_Obool)), _u9816), hAPP(hAPP(c_COMBB(tc_fun(_u9813, tc_HOL_Obool), tc_fun(_u9813, tc_HOL_Obool), _u9815), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9813, tc_HOL_Obool)), _u9814)), _u9817))) )).
% 20.36/20.62 cnf(matrix-5088, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9818, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9819, tc_fun(_u9818, tc_HOL_Obool)), _u9820), _u9821)), _u9822) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9819, tc_fun(_u9818, tc_HOL_Obool)), _u9820), hAPP(hAPP(c_COMBC(_u9819, tc_fun(_u9818, tc_HOL_Obool), tc_fun(_u9818, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9818, tc_HOL_Obool), tc_fun(tc_fun(_u9818, tc_HOL_Obool), tc_fun(_u9818, tc_HOL_Obool)), _u9819), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9818, tc_HOL_Obool))), _u9821)), _u9822))) )).
% 20.36/20.62 cnf(matrix-5089, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9823, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9824, tc_fun(_u9823, tc_HOL_Obool)), _u9825), _u9826)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9827, tc_fun(_u9823, tc_HOL_Obool)), _u9828), _u9829)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9824, tc_fun(_u9823, tc_HOL_Obool)), _u9825), hAPP(hAPP(c_COMBB(tc_fun(_u9827, tc_fun(_u9823, tc_HOL_Obool)), tc_fun(_u9823, tc_HOL_Obool), _u9824), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9827, tc_fun(_u9823, tc_HOL_Obool)), _u9828)), hAPP(hAPP(c_COMBC(_u9824, tc_fun(_u9827, tc_fun(_u9823, tc_HOL_Obool)), tc_fun(_u9827, tc_fun(_u9823, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u9823, tc_HOL_Obool), tc_fun(_u9823, tc_HOL_Obool)), tc_fun(tc_fun(_u9827, tc_fun(_u9823, tc_HOL_Obool)), tc_fun(_u9827, tc_fun(_u9823, tc_HOL_Obool))), _u9824), c_COMBB(tc_fun(_u9823, tc_HOL_Obool), tc_fun(_u9823, tc_HOL_Obool), _u9827)), hAPP(hAPP(c_COMBB(tc_fun(_u9823, tc_HOL_Obool), tc_fun(tc_fun(_u9823, tc_HOL_Obool), tc_fun(_u9823, tc_HOL_Obool)), _u9824), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9823, tc_HOL_Obool))), _u9826))), _u9829)))) )).
% 20.36/20.62 cnf(matrix-5090, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u9830, tc_HOL_Obool), _u9831) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u9830, tc_HOL_Obool), tc_fun(_u9830, tc_HOL_Obool)), _u9831), c_COMBI(tc_fun(_u9830, tc_HOL_Obool)))) )).
% 20.36/20.62 cnf(matrix-5091, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u9838, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9840, tc_fun(_u9838, tc_HOL_Obool)), _u9842), _u9844)) | ~hBOOL(hAPP(hAPP(c_member(_u9840), _u9832), _u9842)) | ( hAPP(_u9844, _u9832) = c_Orderings_Otop__class_Otop(tc_fun(_u9838, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5092, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u9839, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9841, tc_fun(_u9839, tc_HOL_Obool)), _u9843), _u9845)) | hBOOL(hAPP(hAPP(c_member(_u9841), skolem195(_u9845, _u9843, _u9841, _u9839)), _u9843)) )).
% 20.36/20.62 cnf(matrix-5093, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u9839, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9841, tc_fun(_u9839, tc_HOL_Obool)), _u9843), _u9845)) | ( hAPP(_u9845, skolem195(_u9845, _u9843, _u9841, _u9839)) != c_Orderings_Otop__class_Otop(tc_fun(_u9839, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5094, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9852, tc_fun(_u9854, tc_HOL_Obool)), _u9856), _u9858) != c_Orderings_Otop__class_Otop(tc_fun(_u9854, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9852), _u9846), _u9856)) | ( hAPP(_u9858, _u9846) = c_Orderings_Otop__class_Otop(tc_fun(_u9854, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5095, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9853, tc_fun(_u9855, tc_HOL_Obool)), _u9857), _u9859) = c_Orderings_Otop__class_Otop(tc_fun(_u9855, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u9853), skolem196(_u9859, _u9857, _u9855, _u9853)), _u9857)) )).
% 20.36/20.62 cnf(matrix-5096, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9853, tc_fun(_u9855, tc_HOL_Obool)), _u9857), _u9859) = c_Orderings_Otop__class_Otop(tc_fun(_u9855, tc_HOL_Obool))) | ( hAPP(_u9859, skolem196(_u9859, _u9857, _u9855, _u9853)) != c_Orderings_Otop__class_Otop(tc_fun(_u9855, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5097, plain, ( ( _u9865 != c_Orderings_Obot__class_Obot(tc_fun(_u9867, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9867, tc_fun(_u9869, tc_HOL_Obool)), _u9865), hAPP(hAPP(c_COMBB(tc_fun(_u9869, tc_HOL_Obool), tc_fun(_u9869, tc_HOL_Obool), _u9867), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9869, tc_HOL_Obool)), _u9871)), _u9873)) = c_Orderings_Otop__class_Otop(tc_fun(_u9869, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5098, plain, ( ( _u9866 = c_Orderings_Obot__class_Obot(tc_fun(_u9868, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9868, tc_fun(_u9870, tc_HOL_Obool)), _u9866), hAPP(hAPP(c_COMBB(tc_fun(_u9870, tc_HOL_Obool), tc_fun(_u9870, tc_HOL_Obool), _u9868), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9870, tc_HOL_Obool)), _u9872)), _u9874)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9870, tc_HOL_Obool)), _u9872), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9868, tc_fun(_u9870, tc_HOL_Obool)), _u9866), _u9874))) )).
% 20.36/20.62 cnf(matrix-5099, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9875, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9876, tc_fun(_u9875, tc_HOL_Obool)), _u9877), _u9878)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9879, tc_fun(_u9875, tc_HOL_Obool)), _u9880), _u9881)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9876, tc_fun(_u9875, tc_HOL_Obool)), _u9877), hAPP(hAPP(c_COMBB(tc_fun(_u9879, tc_fun(_u9875, tc_HOL_Obool)), tc_fun(_u9875, tc_HOL_Obool), _u9876), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9879, tc_fun(_u9875, tc_HOL_Obool)), _u9880)), hAPP(hAPP(c_COMBC(_u9876, tc_fun(_u9879, tc_fun(_u9875, tc_HOL_Obool)), tc_fun(_u9879, tc_fun(_u9875, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u9875, tc_HOL_Obool), tc_fun(_u9875, tc_HOL_Obool)), tc_fun(tc_fun(_u9879, tc_fun(_u9875, tc_HOL_Obool)), tc_fun(_u9879, tc_fun(_u9875, tc_HOL_Obool))), _u9876), c_COMBB(tc_fun(_u9875, tc_HOL_Obool), tc_fun(_u9875, tc_HOL_Obool), _u9879)), hAPP(hAPP(c_COMBB(tc_fun(_u9875, tc_HOL_Obool), tc_fun(tc_fun(_u9875, tc_HOL_Obool), tc_fun(_u9875, tc_HOL_Obool)), _u9876), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9875, tc_HOL_Obool))), _u9878))), _u9881)))) )).
% 20.36/20.62 cnf(matrix-5100, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9882, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9883, tc_fun(_u9882, tc_HOL_Obool)), _u9884), _u9885)), _u9886) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9883, tc_fun(_u9882, tc_HOL_Obool)), _u9884), hAPP(hAPP(c_COMBC(_u9883, tc_fun(_u9882, tc_HOL_Obool), tc_fun(_u9882, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9882, tc_HOL_Obool), tc_fun(tc_fun(_u9882, tc_HOL_Obool), tc_fun(_u9882, tc_HOL_Obool)), _u9883), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9882, tc_HOL_Obool))), _u9885)), _u9886))) )).
% 20.36/20.62 cnf(matrix-5101, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9887, tc_fun(_u9888, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9887, tc_HOL_Obool)), _u9889), _u9890)), _u9891) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9888, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9887, tc_fun(_u9888, tc_HOL_Obool)), _u9889), _u9891)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9887, tc_fun(_u9888, tc_HOL_Obool)), _u9890), _u9891))) )).
% 20.36/20.62 cnf(matrix-5102, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9892, tc_HOL_Obool)), _u9893), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9894, tc_fun(_u9892, tc_HOL_Obool)), _u9895), _u9896)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9894, tc_fun(_u9892, tc_HOL_Obool)), _u9895), hAPP(hAPP(c_COMBB(tc_fun(_u9892, tc_HOL_Obool), tc_fun(_u9892, tc_HOL_Obool), _u9894), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9892, tc_HOL_Obool)), _u9893)), _u9896))) )).
% 20.36/20.62 cnf(matrix-5103, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9897, tc_HOL_Obool)), _u9898), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9899, tc_fun(_u9897, tc_HOL_Obool)), _u9900), _u9901)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9899, tc_fun(_u9897, tc_HOL_Obool)), _u9900), hAPP(hAPP(c_COMBB(tc_fun(_u9897, tc_HOL_Obool), tc_fun(_u9897, tc_HOL_Obool), _u9899), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9897, tc_HOL_Obool)), _u9898)), _u9901))) )).
% 20.36/20.62 cnf(matrix-5104, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9902, tc_fun(_u9903, tc_HOL_Obool)), _u9904), hAPP(hAPP(c_COMBS(_u9902, tc_fun(_u9903, tc_HOL_Obool), tc_fun(_u9903, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9903, tc_HOL_Obool), tc_fun(tc_fun(_u9903, tc_HOL_Obool), tc_fun(_u9903, tc_HOL_Obool)), _u9902), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9903, tc_HOL_Obool))), _u9905)), _u9906)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9903, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9902, tc_fun(_u9903, tc_HOL_Obool)), _u9904), _u9905)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9902, tc_fun(_u9903, tc_HOL_Obool)), _u9904), _u9906))) )).
% 20.36/20.62 cnf(matrix-5105, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9907, tc_fun(_u9908, tc_HOL_Obool)), _u9909), hAPP(hAPP(c_COMBC(_u9907, tc_fun(_u9908, tc_HOL_Obool), tc_fun(_u9908, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9908, tc_HOL_Obool), tc_fun(tc_fun(_u9908, tc_HOL_Obool), tc_fun(_u9908, tc_HOL_Obool)), _u9907), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9908, tc_HOL_Obool))), _u9910)), _u9911)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9908, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9907, tc_fun(_u9908, tc_HOL_Obool)), _u9909), _u9910)), _u9911)) )).
% 20.36/20.62 cnf(matrix-5106, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9912, tc_fun(_u9913, tc_HOL_Obool)), _u9914), hAPP(hAPP(c_COMBB(tc_fun(_u9913, tc_HOL_Obool), tc_fun(_u9913, tc_HOL_Obool), _u9912), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9913, tc_HOL_Obool)), _u9915)), _u9916)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9913, tc_HOL_Obool)), _u9915), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9912, tc_fun(_u9913, tc_HOL_Obool)), _u9914), _u9916))) )).
% 20.36/20.62 cnf(matrix-5107, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9923, tc_fun(_u9925, tc_fun(_u9927, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u9923, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u9925, _u9927), tc_HOL_Obool), tc_fun(_u9925, tc_fun(_u9927, tc_HOL_Obool)), _u9923), hAPP(c_COMBC(_u9925, tc_fun(tc_prod(_u9925, _u9927), tc_HOL_Obool), tc_fun(_u9927, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9927, tc_fun(tc_fun(tc_prod(_u9925, _u9927), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9925, _u9927), tc_HOL_Obool), tc_fun(_u9927, tc_HOL_Obool)), _u9925), c_COMBC(_u9927, tc_fun(tc_prod(_u9925, _u9927), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9927, tc_prod(_u9925, _u9927)), tc_fun(_u9927, tc_fun(tc_fun(tc_prod(_u9925, _u9927), tc_HOL_Obool), tc_HOL_Obool)), _u9925), hAPP(c_COMBB(tc_prod(_u9925, _u9927), tc_fun(tc_fun(tc_prod(_u9925, _u9927), tc_HOL_Obool), tc_HOL_Obool), _u9927), c_member(tc_prod(_u9925, _u9927)))), c_Product__Type_OPair(_u9925, _u9927))))), _u9929)), _u9931), _u9933)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u9925, _u9927)), hAPP(hAPP(c_Product__Type_OPair(_u9925, _u9927), _u9931), _u9933)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9923, tc_fun(tc_prod(_u9925, _u9927), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9923, tc_HOL_Obool))), _u9929))) )).
% 20.36/20.62 cnf(matrix-5108, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u9926, _u9928)), hAPP(hAPP(c_Product__Type_OPair(_u9926, _u9928), _u9932), _u9934)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9924, tc_fun(tc_prod(_u9926, _u9928), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9924, tc_HOL_Obool))), _u9930))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9924, tc_fun(_u9926, tc_fun(_u9928, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u9924, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u9926, _u9928), tc_HOL_Obool), tc_fun(_u9926, tc_fun(_u9928, tc_HOL_Obool)), _u9924), hAPP(c_COMBC(_u9926, tc_fun(tc_prod(_u9926, _u9928), tc_HOL_Obool), tc_fun(_u9928, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9928, tc_fun(tc_fun(tc_prod(_u9926, _u9928), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9926, _u9928), tc_HOL_Obool), tc_fun(_u9928, tc_HOL_Obool)), _u9926), c_COMBC(_u9928, tc_fun(tc_prod(_u9926, _u9928), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9928, tc_prod(_u9926, _u9928)), tc_fun(_u9928, tc_fun(tc_fun(tc_prod(_u9926, _u9928), tc_HOL_Obool), tc_HOL_Obool)), _u9926), hAPP(c_COMBB(tc_prod(_u9926, _u9928), tc_fun(tc_fun(tc_prod(_u9926, _u9928), tc_HOL_Obool), tc_HOL_Obool), _u9928), c_member(tc_prod(_u9926, _u9928)))), c_Product__Type_OPair(_u9926, _u9928))))), _u9930)), _u9932), _u9934)) )).
% 20.36/20.62 cnf(matrix-5109, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9941, tc_fun(_u9943, tc_fun(_u9945, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u9941, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u9943, _u9945), tc_HOL_Obool), tc_fun(_u9943, tc_fun(_u9945, tc_HOL_Obool)), _u9941), hAPP(c_COMBC(_u9943, tc_fun(tc_prod(_u9943, _u9945), tc_HOL_Obool), tc_fun(_u9945, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9945, tc_fun(tc_fun(tc_prod(_u9943, _u9945), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9943, _u9945), tc_HOL_Obool), tc_fun(_u9945, tc_HOL_Obool)), _u9943), c_COMBC(_u9945, tc_fun(tc_prod(_u9943, _u9945), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9945, tc_prod(_u9943, _u9945)), tc_fun(_u9945, tc_fun(tc_fun(tc_prod(_u9943, _u9945), tc_HOL_Obool), tc_HOL_Obool)), _u9943), hAPP(c_COMBB(tc_prod(_u9943, _u9945), tc_fun(tc_fun(tc_prod(_u9943, _u9945), tc_HOL_Obool), tc_HOL_Obool), _u9945), c_member(tc_prod(_u9943, _u9945)))), c_Product__Type_OPair(_u9943, _u9945))))), _u9947)), _u9949), _u9951)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u9943, _u9945)), hAPP(hAPP(c_Product__Type_OPair(_u9943, _u9945), _u9949), _u9951)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9941, tc_fun(tc_prod(_u9943, _u9945), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9941, tc_HOL_Obool))), _u9947))) )).
% 20.36/20.62 cnf(matrix-5110, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u9944, _u9946)), hAPP(hAPP(c_Product__Type_OPair(_u9944, _u9946), _u9950), _u9952)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9942, tc_fun(tc_prod(_u9944, _u9946), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9942, tc_HOL_Obool))), _u9948))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9942, tc_fun(_u9944, tc_fun(_u9946, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u9942, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u9944, _u9946), tc_HOL_Obool), tc_fun(_u9944, tc_fun(_u9946, tc_HOL_Obool)), _u9942), hAPP(c_COMBC(_u9944, tc_fun(tc_prod(_u9944, _u9946), tc_HOL_Obool), tc_fun(_u9946, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9946, tc_fun(tc_fun(tc_prod(_u9944, _u9946), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9944, _u9946), tc_HOL_Obool), tc_fun(_u9946, tc_HOL_Obool)), _u9944), c_COMBC(_u9946, tc_fun(tc_prod(_u9944, _u9946), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9946, tc_prod(_u9944, _u9946)), tc_fun(_u9946, tc_fun(tc_fun(tc_prod(_u9944, _u9946), tc_HOL_Obool), tc_HOL_Obool)), _u9944), hAPP(c_COMBB(tc_prod(_u9944, _u9946), tc_fun(tc_fun(tc_prod(_u9944, _u9946), tc_HOL_Obool), tc_HOL_Obool), _u9946), c_member(tc_prod(_u9944, _u9946)))), c_Product__Type_OPair(_u9944, _u9946))))), _u9948)), _u9950), _u9952)) )).
% 20.36/20.62 cnf(matrix-5111, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9955) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9955), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9956, _u9955), _u9957), _u9958)), _u9959)) | ~hBOOL(hAPP(hAPP(c_member(_u9956), _u9953), _u9957)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9955), hAPP(_u9958, _u9953)), _u9959)) )).
% 20.36/20.62 cnf(matrix-5112, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9955) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9955), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9956, _u9955), _u9957), _u9958)), _u9959)) | hBOOL(hAPP(hAPP(c_member(_u9956), skolem197(_u9959, _u9958, _u9957, _u9956, _u9955)), _u9957)) )).
% 20.36/20.62 cnf(matrix-5113, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9955) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9955), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9956, _u9955), _u9957), _u9958)), _u9959)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9955), hAPP(_u9958, skolem197(_u9959, _u9958, _u9957, _u9956, _u9955))), _u9959)) )).
% 20.36/20.62 cnf(matrix-5114, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9962) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9962), _u9963), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9964, _u9962), _u9965), _u9966))) | ~hBOOL(hAPP(hAPP(c_member(_u9964), _u9960), _u9965)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9962), _u9963), hAPP(_u9966, _u9960))) )).
% 20.36/20.62 cnf(matrix-5115, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9962) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9962), _u9963), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9964, _u9962), _u9965), _u9966))) | hBOOL(hAPP(hAPP(c_member(_u9964), skolem198(_u9966, _u9965, _u9964, _u9963, _u9962)), _u9965)) )).
% 20.36/20.62 cnf(matrix-5116, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9962) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9962), _u9963), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9964, _u9962), _u9965), _u9966))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9962), _u9963), hAPP(_u9966, skolem198(_u9966, _u9965, _u9964, _u9963, _u9962)))) )).
% 20.36/20.62 cnf(matrix-5117, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9969) | ~class_Orderings_Olinorder(_u9969) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9969), _u9970), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9971, _u9969), _u9972), _u9973))) | hBOOL(hAPP(hAPP(c_member(_u9971), skolem199(_u9973, _u9972, _u9971, _u9970, _u9969)), _u9972)) )).
% 20.36/20.62 cnf(matrix-5118, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9969) | ~class_Orderings_Olinorder(_u9969) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9969), _u9970), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9971, _u9969), _u9972), _u9973))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9969), _u9970), hAPP(_u9973, skolem199(_u9973, _u9972, _u9971, _u9970, _u9969)))) )).
% 20.36/20.62 cnf(matrix-5119, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9969) | ~class_Orderings_Olinorder(_u9969) | ~hBOOL(hAPP(hAPP(c_member(_u9971), _u9968), _u9972)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9969), _u9970), hAPP(_u9973, _u9968))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9969), _u9970), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9971, _u9969), _u9972), _u9973))) )).
% 20.36/20.62 cnf(matrix-5120, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9976) | ~class_Orderings_Olinorder(_u9976) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9976), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9977, _u9976), _u9978), _u9979)), _u9980)) | hBOOL(hAPP(hAPP(c_member(_u9977), skolem200(_u9980, _u9979, _u9978, _u9977, _u9976)), _u9978)) )).
% 20.36/20.62 cnf(matrix-5121, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9976) | ~class_Orderings_Olinorder(_u9976) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9976), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9977, _u9976), _u9978), _u9979)), _u9980)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9976), hAPP(_u9979, skolem200(_u9980, _u9979, _u9978, _u9977, _u9976))), _u9980)) )).
% 20.36/20.62 cnf(matrix-5122, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9976) | ~class_Orderings_Olinorder(_u9976) | ~hBOOL(hAPP(hAPP(c_member(_u9977), _u9975), _u9978)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9976), hAPP(_u9979, _u9975)), _u9980)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9976), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9977, _u9976), _u9978), _u9979)), _u9980)) )).
% 20.36/20.62 cnf(matrix-5123, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9981), _u9982), _u9983)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9981, tc_fun(_u9984, tc_HOL_Obool)), _u9983), hAPP(hAPP(c_COMBB(tc_fun(_u9984, tc_HOL_Obool), tc_fun(_u9984, tc_HOL_Obool), _u9981), hAPP(c_Set_Oinsert(_u9984), _u9985)), _u9986)) = hAPP(hAPP(c_Set_Oinsert(_u9984), _u9985), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9981, tc_fun(_u9984, tc_HOL_Obool)), _u9983), _u9986))) )).
% 20.36/20.62 cnf(matrix-5124, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9987), _u9988), _u9989)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9990, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9987, tc_fun(_u9990, tc_HOL_Obool)), _u9989), _u9991)), hAPP(_u9991, _u9988))) )).
% 20.36/20.62 cnf(matrix-5125, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9996, tc_fun(_u9998, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9996, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9998, tc_HOL_Obool), tc_fun(_u9998, tc_HOL_Obool), _u9996), hAPP(c_COMBC(_u9998, tc_fun(_u9998, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9998))), _u10000)), _u10002)) | hBOOL(hAPP(hAPP(c_member(_u9998), _u10002), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9996, tc_fun(_u9998, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9996, tc_HOL_Obool))), _u10000))) )).
% 20.36/20.62 cnf(matrix-5126, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9999), _u10003), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9997, tc_fun(_u9999, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9997, tc_HOL_Obool))), _u10001))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9997, tc_fun(_u9999, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9997, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9999, tc_HOL_Obool), tc_fun(_u9999, tc_HOL_Obool), _u9997), hAPP(c_COMBC(_u9999, tc_fun(_u9999, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9999))), _u10001)), _u10003)) )).
% 20.36/20.62 cnf(matrix-5127, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10004), _u10005), _u10006)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10007, tc_HOL_Obool)), hAPP(_u10008, _u10005)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10004, tc_fun(_u10007, tc_HOL_Obool)), _u10006), _u10008)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10004, tc_fun(_u10007, tc_HOL_Obool)), _u10006), _u10008)) )).
% 20.36/20.62 cnf(matrix-5128, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10009) | ( _u10010 = c_Orderings_Obot__class_Obot(tc_fun(_u10011, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10011, _u10009), _u10010), hAPP(c_COMBK(_u10009, _u10011), _u10012)) = _u10012) )).
% 20.36/20.62 cnf(matrix-5129, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10013) | ( _u10014 = c_Orderings_Obot__class_Obot(tc_fun(_u10015, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10015, _u10013), _u10014), hAPP(c_COMBK(_u10013, _u10015), _u10016)) = _u10016) )).
% 20.36/20.62 cnf(matrix-5130, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10017), _u10018), _u10019)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10017, tc_fun(_u10020, tc_HOL_Obool)), _u10019), hAPP(hAPP(c_COMBB(tc_fun(_u10020, tc_HOL_Obool), tc_fun(_u10020, tc_HOL_Obool), _u10017), hAPP(c_Set_Oinsert(_u10020), _u10021)), _u10022)) = hAPP(hAPP(c_Set_Oinsert(_u10020), _u10021), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10017, tc_fun(_u10020, tc_HOL_Obool)), _u10019), _u10022))) )).
% 20.36/20.62 cnf(matrix-5131, plain, ( ( _u10027 != c_Orderings_Obot__class_Obot(tc_fun(_u10029, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10029, tc_fun(_u10031, tc_HOL_Obool)), _u10027), hAPP(c_COMBK(tc_fun(_u10031, tc_HOL_Obool), _u10029), _u10033)) = c_Orderings_Otop__class_Otop(tc_fun(_u10031, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5132, plain, ( ( _u10028 = c_Orderings_Obot__class_Obot(tc_fun(_u10030, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10030, tc_fun(_u10032, tc_HOL_Obool)), _u10028), hAPP(c_COMBK(tc_fun(_u10032, tc_HOL_Obool), _u10030), _u10034)) = _u10034) )).
% 20.36/20.62 cnf(matrix-5133, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10035, tc_fun(_u10036, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u10035, tc_HOL_Obool))), _u10037) = c_Orderings_Otop__class_Otop(tc_fun(_u10036, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5134, plain, ( ( _u10043 != c_Orderings_Obot__class_Obot(tc_fun(_u10045, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10047, tc_HOL_Obool)), _u10049), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10045, tc_fun(_u10047, tc_HOL_Obool)), _u10043), _u10051)) = _u10049) )).
% 20.36/20.62 cnf(matrix-5135, plain, ( ( _u10044 = c_Orderings_Obot__class_Obot(tc_fun(_u10046, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10048, tc_HOL_Obool)), _u10050), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10046, tc_fun(_u10048, tc_HOL_Obool)), _u10044), _u10052)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10046, tc_fun(_u10048, tc_HOL_Obool)), _u10044), hAPP(hAPP(c_COMBB(tc_fun(_u10048, tc_HOL_Obool), tc_fun(_u10048, tc_HOL_Obool), _u10046), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10048, tc_HOL_Obool)), _u10050)), _u10052))) )).
% 20.36/20.62 cnf(matrix-5136, plain, ( ( _u10058 != c_Orderings_Obot__class_Obot(tc_fun(_u10060, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10062, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10060, tc_fun(_u10062, tc_HOL_Obool)), _u10058), _u10064)), _u10066) = _u10066) )).
% 20.36/20.62 cnf(matrix-5137, plain, ( ( _u10059 = c_Orderings_Obot__class_Obot(tc_fun(_u10061, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10063, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10061, tc_fun(_u10063, tc_HOL_Obool)), _u10059), _u10065)), _u10067) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10061, tc_fun(_u10063, tc_HOL_Obool)), _u10059), hAPP(hAPP(c_COMBC(_u10061, tc_fun(_u10063, tc_HOL_Obool), tc_fun(_u10063, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10063, tc_HOL_Obool), tc_fun(tc_fun(_u10063, tc_HOL_Obool), tc_fun(_u10063, tc_HOL_Obool)), _u10061), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10063, tc_HOL_Obool))), _u10065)), _u10067))) )).
% 20.36/20.62 cnf(matrix-5138, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10068), _u10069), _u10070)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10071, tc_HOL_Obool)), hAPP(_u10072, _u10069)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10068, tc_fun(_u10071, tc_HOL_Obool)), _u10070), _u10072))) )).
% 20.36/20.62 cnf(matrix-5139, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10077, tc_fun(_u10079, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u10077, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u10079, tc_HOL_Obool), tc_fun(_u10079, tc_HOL_Obool), _u10077), hAPP(c_COMBC(_u10079, tc_fun(_u10079, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10079))), _u10081)), _u10083)) | hBOOL(hAPP(hAPP(c_member(_u10079), _u10083), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10077, tc_fun(_u10079, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u10077, tc_HOL_Obool))), _u10081))) )).
% 20.36/20.62 cnf(matrix-5140, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10080), _u10084), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10078, tc_fun(_u10080, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u10078, tc_HOL_Obool))), _u10082))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10078, tc_fun(_u10080, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u10078, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u10080, tc_HOL_Obool), tc_fun(_u10080, tc_HOL_Obool), _u10078), hAPP(c_COMBC(_u10080, tc_fun(_u10080, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10080))), _u10082)), _u10084)) )).
% 20.36/20.62 cnf(matrix-5141, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10085), _u10086), _u10087)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10088, tc_HOL_Obool)), hAPP(_u10089, _u10086)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10085, tc_fun(_u10088, tc_HOL_Obool)), _u10087), _u10089)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10085, tc_fun(_u10088, tc_HOL_Obool)), _u10087), _u10089)) )).
% 20.36/20.62 cnf(matrix-5142, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10090, tc_fun(_u10091, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u10090), _u10092), _u10093)), _u10094) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10091, tc_HOL_Obool)), hAPP(_u10094, _u10092)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10090, tc_fun(_u10091, tc_HOL_Obool)), _u10093), _u10094))) )).
% 20.36/20.62 cnf(matrix-5143, plain, ( ( _u10100 != c_Orderings_Obot__class_Obot(tc_fun(_u10102, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10102, tc_fun(_u10104, tc_HOL_Obool)), _u10100), hAPP(hAPP(c_COMBB(tc_fun(_u10104, tc_HOL_Obool), tc_fun(_u10104, tc_HOL_Obool), _u10102), hAPP(c_Set_Oinsert(_u10104), _u10106)), _u10108)) = c_Orderings_Obot__class_Obot(tc_fun(_u10104, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5144, plain, ( ( _u10101 = c_Orderings_Obot__class_Obot(tc_fun(_u10103, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10103, tc_fun(_u10105, tc_HOL_Obool)), _u10101), hAPP(hAPP(c_COMBB(tc_fun(_u10105, tc_HOL_Obool), tc_fun(_u10105, tc_HOL_Obool), _u10103), hAPP(c_Set_Oinsert(_u10105), _u10107)), _u10109)) = hAPP(hAPP(c_Set_Oinsert(_u10105), _u10107), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10103, tc_fun(_u10105, tc_HOL_Obool)), _u10101), _u10109))) )).
% 20.36/20.62 cnf(matrix-5145, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10110, tc_fun(_u10110, tc_HOL_Obool)), _u10111), hAPP(hAPP(c_COMBC(_u10110, tc_fun(_u10110, tc_HOL_Obool), tc_fun(_u10110, tc_HOL_Obool)), c_Set_Oinsert(_u10110)), c_Orderings_Obot__class_Obot(tc_fun(_u10110, tc_HOL_Obool)))) = _u10111) )).
% 20.36/20.62 cnf(matrix-5146, plain, ( ( _u10117 != c_Orderings_Obot__class_Obot(tc_fun(_u10119, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u10121), _u10123), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10119, tc_fun(_u10121, tc_HOL_Obool)), _u10117), _u10125)) = hAPP(hAPP(c_Set_Oinsert(_u10121), _u10123), c_Orderings_Obot__class_Obot(tc_fun(_u10121, tc_HOL_Obool)))) )).
% 20.36/20.62 cnf(matrix-5147, plain, ( ( _u10118 = c_Orderings_Obot__class_Obot(tc_fun(_u10120, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u10122), _u10124), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10120, tc_fun(_u10122, tc_HOL_Obool)), _u10118), _u10126)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10120, tc_fun(_u10122, tc_HOL_Obool)), _u10118), hAPP(hAPP(c_COMBB(tc_fun(_u10122, tc_HOL_Obool), tc_fun(_u10122, tc_HOL_Obool), _u10120), hAPP(c_Set_Oinsert(_u10122), _u10124)), _u10126))) )).
% 20.36/20.62 cnf(matrix-5148, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10127, tc_fun(_u10128, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10127, tc_HOL_Obool)), _u10129), _u10130)), _u10131) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10128, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10127, tc_fun(_u10128, tc_HOL_Obool)), _u10129), _u10131)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10127, tc_fun(_u10128, tc_HOL_Obool)), _u10130), _u10131))) )).
% 20.36/20.62 cnf(matrix-5149, plain, ( ( _u10137 != c_Orderings_Obot__class_Obot(tc_fun(_u10139, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10141, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10139, tc_fun(_u10141, tc_HOL_Obool)), _u10137), _u10143)), _u10145) = _u10145) )).
% 20.36/20.62 cnf(matrix-5150, plain, ( ( _u10138 = c_Orderings_Obot__class_Obot(tc_fun(_u10140, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10142, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10140, tc_fun(_u10142, tc_HOL_Obool)), _u10138), _u10144)), _u10146) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10140, tc_fun(_u10142, tc_HOL_Obool)), _u10138), hAPP(hAPP(c_COMBC(_u10140, tc_fun(_u10142, tc_HOL_Obool), tc_fun(_u10142, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10142, tc_HOL_Obool), tc_fun(tc_fun(_u10142, tc_HOL_Obool), tc_fun(_u10142, tc_HOL_Obool)), _u10140), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10142, tc_HOL_Obool))), _u10144)), _u10146))) )).
% 20.36/20.62 cnf(matrix-5151, plain, ( ( _u10152 != c_Orderings_Obot__class_Obot(tc_fun(_u10154, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10156, tc_HOL_Obool)), _u10158), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10154, tc_fun(_u10156, tc_HOL_Obool)), _u10152), _u10160)) = _u10158) )).
% 20.36/20.62 cnf(matrix-5152, plain, ( ( _u10153 = c_Orderings_Obot__class_Obot(tc_fun(_u10155, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10157, tc_HOL_Obool)), _u10159), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10155, tc_fun(_u10157, tc_HOL_Obool)), _u10153), _u10161)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10155, tc_fun(_u10157, tc_HOL_Obool)), _u10153), hAPP(hAPP(c_COMBB(tc_fun(_u10157, tc_HOL_Obool), tc_fun(_u10157, tc_HOL_Obool), _u10155), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10157, tc_HOL_Obool)), _u10159)), _u10161))) )).
% 20.36/20.62 cnf(matrix-5153, plain, ( ( _u10167 != c_Orderings_Obot__class_Obot(tc_fun(_u10169, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10169, tc_fun(_u10171, tc_HOL_Obool)), _u10167), hAPP(hAPP(c_COMBC(_u10169, tc_fun(_u10171, tc_HOL_Obool), tc_fun(_u10171, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10171, tc_HOL_Obool), tc_fun(tc_fun(_u10171, tc_HOL_Obool), tc_fun(_u10171, tc_HOL_Obool)), _u10169), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10171, tc_HOL_Obool))), _u10173)), _u10175)) = c_Orderings_Obot__class_Obot(tc_fun(_u10171, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5154, plain, ( ( _u10168 = c_Orderings_Obot__class_Obot(tc_fun(_u10170, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10170, tc_fun(_u10172, tc_HOL_Obool)), _u10168), hAPP(hAPP(c_COMBC(_u10170, tc_fun(_u10172, tc_HOL_Obool), tc_fun(_u10172, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10172, tc_HOL_Obool), tc_fun(tc_fun(_u10172, tc_HOL_Obool), tc_fun(_u10172, tc_HOL_Obool)), _u10170), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10172, tc_HOL_Obool))), _u10174)), _u10176)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10172, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10170, tc_fun(_u10172, tc_HOL_Obool)), _u10168), _u10174)), _u10176)) )).
% 20.36/20.62 cnf(matrix-5155, plain, ( ( _u10182 != c_Orderings_Obot__class_Obot(tc_fun(_u10184, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10184, tc_fun(_u10186, tc_HOL_Obool)), _u10182), hAPP(hAPP(c_COMBB(tc_fun(_u10186, tc_HOL_Obool), tc_fun(_u10186, tc_HOL_Obool), _u10184), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10186, tc_HOL_Obool)), _u10188)), _u10190)) = c_Orderings_Obot__class_Obot(tc_fun(_u10186, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5156, plain, ( ( _u10183 = c_Orderings_Obot__class_Obot(tc_fun(_u10185, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10185, tc_fun(_u10187, tc_HOL_Obool)), _u10183), hAPP(hAPP(c_COMBB(tc_fun(_u10187, tc_HOL_Obool), tc_fun(_u10187, tc_HOL_Obool), _u10185), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10187, tc_HOL_Obool)), _u10189)), _u10191)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10187, tc_HOL_Obool)), _u10189), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10185, tc_fun(_u10187, tc_HOL_Obool)), _u10183), _u10191))) )).
% 20.36/20.62 cnf(matrix-5157, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10192, tc_fun(_u10193, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u10192), _u10194), _u10195)), _u10196) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10193, tc_HOL_Obool)), hAPP(_u10196, _u10194)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10192, tc_fun(_u10193, tc_HOL_Obool)), _u10195), _u10196))) )).
% 20.36/20.62 cnf(matrix-5158, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10197, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10198, _u10197, _u10199), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10200, tc_fun(_u10198, tc_HOL_Obool)), _u10201), _u10202))), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10200, tc_fun(_u10197, tc_HOL_Obool)), _u10201), hAPP(hAPP(c_COMBB(tc_fun(_u10198, tc_HOL_Obool), tc_fun(_u10197, tc_HOL_Obool), _u10200), c_Relation_OImage(_u10198, _u10197, _u10199)), _u10202)))) )).
% 20.36/20.62 cnf(matrix-5159, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10203, tc_HOL_Obool)), _u10204), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10203, tc_HOL_Obool), _u10205)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u10203, tc_HOL_Obool), tc_fun(_u10203, tc_HOL_Obool)), _u10205), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10203, tc_HOL_Obool)), _u10204))) )).
% 20.36/20.62 cnf(matrix-5160, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10206, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10206, tc_HOL_Obool), _u10207)), _u10208) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u10206, tc_HOL_Obool), tc_fun(_u10206, tc_HOL_Obool)), _u10207), hAPP(hAPP(c_COMBC(tc_fun(_u10206, tc_HOL_Obool), tc_fun(_u10206, tc_HOL_Obool), tc_fun(_u10206, tc_HOL_Obool)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10206, tc_HOL_Obool))), _u10208))) )).
% 20.36/20.62 cnf(matrix-5161, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10209, tc_HOL_Obool)), _u10210), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u10209, tc_HOL_Obool), _u10211)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u10209, tc_HOL_Obool), tc_fun(_u10209, tc_HOL_Obool)), _u10211), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10209, tc_HOL_Obool)), _u10210))) )).
% 20.36/20.62 cnf(matrix-5162, plain, ( ~class_Orderings_Oorder(_u10212) | ( c_Orderings_Obot__class_Obot(tc_fun(_u10212, tc_HOL_Obool)) != c_SetInterval_Oord__class_OatLeastAtMost(_u10212, _u10213, _u10214)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10212), _u10213), _u10214)) )).
% 20.36/20.62 cnf(matrix-5163, plain, ( ~class_Orderings_Oorder(_u10212) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10212), _u10213), _u10214)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u10212, tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(_u10212, _u10213, _u10214)) )).
% 20.36/20.62 cnf(matrix-5164, plain, ( ~class_Orderings_Oorder(_u10215) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u10215, _u10216, _u10217) != c_Orderings_Obot__class_Obot(tc_fun(_u10215, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10215), _u10216), _u10217)) )).
% 20.36/20.62 cnf(matrix-5165, plain, ( ~class_Orderings_Oorder(_u10215) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10215), _u10216), _u10217)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u10215, _u10216, _u10217) = c_Orderings_Obot__class_Obot(tc_fun(_u10215, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5166, plain, ( ~class_Orderings_Oorder(_u10218) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10218), _u10219), _u10220)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u10218, _u10220, _u10219) = c_Orderings_Obot__class_Obot(tc_fun(_u10218, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5167, plain, ( ~class_Orderings_Oorder(_u10221) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10221, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10221, _u10222, _u10223)), c_SetInterval_Oord__class_OatLeastAtMost(_u10221, _u10224, _u10225))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10221), _u10222), _u10223)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10221), _u10224), _u10222)) )).
% 20.36/20.62 cnf(matrix-5168, plain, ( ~class_Orderings_Oorder(_u10221) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10221, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10221, _u10222, _u10223)), c_SetInterval_Oord__class_OatLeastAtMost(_u10221, _u10224, _u10225))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10221), _u10222), _u10223)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10221), _u10223), _u10225)) )).
% 20.36/20.62 cnf(matrix-5169, plain, ( ~class_Orderings_Oorder(_u10221) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10221, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10221, _u10222, _u10223)), c_SetInterval_Oord__class_OatLeastAtMost(_u10221, _u10224, _u10225))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10221), _u10222), _u10223)) )).
% 20.36/20.62 cnf(matrix-5170, plain, ( ~class_Orderings_Oorder(_u10221) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10221, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10221, _u10222, _u10223)), c_SetInterval_Oord__class_OatLeastAtMost(_u10221, _u10224, _u10225))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10221), _u10224), _u10222)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10221), _u10223), _u10225)) )).
% 20.36/20.62 cnf(matrix-5171, plain, ( ~class_Orderings_Oorder(_u10226) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u10226, _u10227, _u10227) = hAPP(hAPP(c_Set_Oinsert(_u10226), _u10227), c_Orderings_Obot__class_Obot(tc_fun(_u10226, tc_HOL_Obool)))) )).
% 20.36/20.62 cnf(matrix-5172, plain, ( ~class_Orderings_Oorder(_u10228) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u10228, _u10229, _u10230) != hAPP(hAPP(c_Set_Oinsert(_u10228), _u10231), c_Orderings_Obot__class_Obot(tc_fun(_u10228, tc_HOL_Obool)))) | ( _u10229 = _u10230) )).
% 20.36/20.62 cnf(matrix-5173, plain, ( ~class_Orderings_Oorder(_u10228) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u10228, _u10229, _u10230) != hAPP(hAPP(c_Set_Oinsert(_u10228), _u10231), c_Orderings_Obot__class_Obot(tc_fun(_u10228, tc_HOL_Obool)))) | ( _u10230 = _u10231) )).
% 20.36/20.62 cnf(matrix-5174, plain, ( ~class_Orderings_Oorder(_u10228) | ( _u10229 != _u10230) | ( _u10230 != _u10231) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u10228, _u10229, _u10230) = hAPP(hAPP(c_Set_Oinsert(_u10228), _u10231), c_Orderings_Obot__class_Obot(tc_fun(_u10228, tc_HOL_Obool)))) )).
% 20.36/20.62 cnf(matrix-5175, plain, ( ~class_Orderings_Oorder(_u10232) | ( _u10233 != _u10234) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u10232, _u10233, _u10234) = hAPP(hAPP(c_Set_Oinsert(_u10232), _u10233), c_Orderings_Obot__class_Obot(tc_fun(_u10232, tc_HOL_Obool)))) )).
% 20.36/20.62 cnf(matrix-5176, plain, ( ( hAPP(c_Set_Ovimage(_u10235, _u10236, _u10237), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10236, tc_HOL_Obool), _u10238)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u10236, tc_HOL_Obool), tc_fun(_u10235, tc_HOL_Obool)), _u10238), c_Set_Ovimage(_u10235, _u10236, _u10237))) )).
% 20.36/20.62 cnf(matrix-5177, plain, ( ~class_Groups_Ocomm__monoid__add(_u10239) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10239), _u10240), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10241), hAPP(c_Nat_OSuc, _u10242))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10239), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10239, tc_Nat_Onat), _u10240), c_Nat_OSuc)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10241, _u10242))) )).
% 20.36/20.62 cnf(matrix-5178, plain, ( ~class_Groups_Ocomm__monoid__add(_u10243) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10243), _u10244), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10245), _u10246), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10247), _u10246))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10243), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10243, tc_Nat_Onat), _u10244), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u10246))), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10245, _u10247))) )).
% 20.36/20.62 cnf(matrix-5179, 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))) )).
% 20.36/20.62 cnf(matrix-5180, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10248) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10249, tc_HOL_Obool)), _u10250), _u10251)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10248), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10249, _u10248), _u10251), _u10252)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10249, _u10248), _u10250), _u10252))) )).
% 20.36/20.62 cnf(matrix-5181, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10253) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10254, tc_HOL_Obool)), _u10255), _u10256)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10253), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10254, _u10253), _u10255), _u10257)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10254, _u10253), _u10256), _u10257))) )).
% 20.36/20.62 cnf(matrix-5182, plain, ( ( _u10263 != c_Orderings_Obot__class_Obot(tc_fun(_u10265, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10265, tc_fun(_u10267, tc_HOL_Obool)), _u10263), hAPP(hAPP(c_COMBB(tc_fun(_u10267, tc_HOL_Obool), tc_fun(_u10267, tc_HOL_Obool), _u10265), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10267, tc_HOL_Obool)), _u10269)), _u10271)) = c_Orderings_Otop__class_Otop(tc_fun(_u10267, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5183, plain, ( ( _u10264 = c_Orderings_Obot__class_Obot(tc_fun(_u10266, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10266, tc_fun(_u10268, tc_HOL_Obool)), _u10264), hAPP(hAPP(c_COMBB(tc_fun(_u10268, tc_HOL_Obool), tc_fun(_u10268, tc_HOL_Obool), _u10266), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10268, tc_HOL_Obool)), _u10270)), _u10272)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10268, tc_HOL_Obool)), _u10270), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10266, tc_fun(_u10268, tc_HOL_Obool)), _u10264), _u10272))) )).
% 20.36/20.62 cnf(matrix-5184, plain, ( ( _u10278 != c_Orderings_Obot__class_Obot(tc_fun(_u10280, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10280, tc_fun(_u10282, tc_HOL_Obool)), _u10278), hAPP(hAPP(c_COMBC(_u10280, tc_fun(_u10282, tc_HOL_Obool), tc_fun(_u10282, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10282, tc_HOL_Obool), tc_fun(tc_fun(_u10282, tc_HOL_Obool), tc_fun(_u10282, tc_HOL_Obool)), _u10280), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10282, tc_HOL_Obool))), _u10284)), _u10286)) = c_Orderings_Otop__class_Otop(tc_fun(_u10282, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5185, plain, ( ( _u10279 = c_Orderings_Obot__class_Obot(tc_fun(_u10281, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10281, tc_fun(_u10283, tc_HOL_Obool)), _u10279), hAPP(hAPP(c_COMBC(_u10281, tc_fun(_u10283, tc_HOL_Obool), tc_fun(_u10283, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10283, tc_HOL_Obool), tc_fun(tc_fun(_u10283, tc_HOL_Obool), tc_fun(_u10283, tc_HOL_Obool)), _u10281), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10283, tc_HOL_Obool))), _u10285)), _u10287)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10283, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10281, tc_fun(_u10283, tc_HOL_Obool)), _u10279), _u10285)), _u10287)) )).
% 20.36/20.62 cnf(matrix-5186, plain, ( ( _u10293 != c_Orderings_Obot__class_Obot(tc_fun(_u10295, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10295, tc_fun(_u10297, tc_HOL_Obool)), _u10293), hAPP(hAPP(c_COMBC(_u10295, tc_fun(_u10297, tc_HOL_Obool), tc_fun(_u10297, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10297, tc_HOL_Obool), tc_fun(tc_fun(_u10297, tc_HOL_Obool), tc_fun(_u10297, tc_HOL_Obool)), _u10295), c_Groups_Ominus__class_Ominus(tc_fun(_u10297, tc_HOL_Obool))), _u10299)), _u10301)) = c_Orderings_Otop__class_Otop(tc_fun(_u10297, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5187, plain, ( ( _u10294 = c_Orderings_Obot__class_Obot(tc_fun(_u10296, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10296, tc_fun(_u10298, tc_HOL_Obool)), _u10294), hAPP(hAPP(c_COMBC(_u10296, tc_fun(_u10298, tc_HOL_Obool), tc_fun(_u10298, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10298, tc_HOL_Obool), tc_fun(tc_fun(_u10298, tc_HOL_Obool), tc_fun(_u10298, tc_HOL_Obool)), _u10296), c_Groups_Ominus__class_Ominus(tc_fun(_u10298, tc_HOL_Obool))), _u10300)), _u10302)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10298, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10296, tc_fun(_u10298, tc_HOL_Obool)), _u10294), _u10300)), _u10302)) )).
% 20.36/20.62 cnf(matrix-5188, plain, ( ( _u10308 != c_Orderings_Obot__class_Obot(tc_fun(_u10310, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10312, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10310, tc_fun(_u10312, tc_HOL_Obool)), _u10308), _u10314)), _u10316) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10312, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u10312, tc_HOL_Obool))), _u10316)) )).
% 20.36/20.62 cnf(matrix-5189, plain, ( ( _u10309 = c_Orderings_Obot__class_Obot(tc_fun(_u10311, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10313, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10311, tc_fun(_u10313, tc_HOL_Obool)), _u10309), _u10315)), _u10317) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10311, tc_fun(_u10313, tc_HOL_Obool)), _u10309), hAPP(hAPP(c_COMBC(_u10311, tc_fun(_u10313, tc_HOL_Obool), tc_fun(_u10313, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10313, tc_HOL_Obool), tc_fun(tc_fun(_u10313, tc_HOL_Obool), tc_fun(_u10313, tc_HOL_Obool)), _u10311), c_Groups_Ominus__class_Ominus(tc_fun(_u10313, tc_HOL_Obool))), _u10315)), _u10317))) )).
% 20.36/20.62 cnf(matrix-5190, plain, ( ( hAPP(c_Relation_OImage(_u10318, _u10319, _u10320), _u10321) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10318, tc_fun(_u10319, tc_HOL_Obool)), _u10321), hAPP(hAPP(c_COMBB(tc_fun(_u10318, tc_HOL_Obool), tc_fun(_u10319, tc_HOL_Obool), _u10318), c_Relation_OImage(_u10318, _u10319, _u10320)), hAPP(hAPP(c_COMBC(_u10318, tc_fun(_u10318, tc_HOL_Obool), tc_fun(_u10318, tc_HOL_Obool)), c_Set_Oinsert(_u10318)), c_Orderings_Obot__class_Obot(tc_fun(_u10318, tc_HOL_Obool)))))) )).
% 20.36/20.62 cnf(matrix-5191, plain, ( ( hAPP(c_Set_Ovimage(_u10322, _u10323, _u10324), _u10325) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10323, tc_fun(_u10322, tc_HOL_Obool)), _u10325), hAPP(hAPP(c_COMBB(tc_fun(_u10323, tc_HOL_Obool), tc_fun(_u10322, tc_HOL_Obool), _u10323), c_Set_Ovimage(_u10322, _u10323, _u10324)), hAPP(hAPP(c_COMBC(_u10323, tc_fun(_u10323, tc_HOL_Obool), tc_fun(_u10323, tc_HOL_Obool)), c_Set_Oinsert(_u10323)), c_Orderings_Obot__class_Obot(tc_fun(_u10323, tc_HOL_Obool)))))) )).
% 20.36/20.62 cnf(matrix-5192, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10326, _u10327)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10327)), _u10326)) )).
% 20.36/20.62 cnf(matrix-5193, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10328), hAPP(c_Nat_OSuc, _u10329))) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10328, hAPP(c_Nat_OSuc, _u10329)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10329)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10328, _u10329))) )).
% 20.36/20.62 cnf(matrix-5194, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10330) | ~hBOOL(hAPP(hAPP(c_member(_u10331), _u10332), _u10333)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10330), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10331, _u10330), _u10333), _u10334)), hAPP(_u10334, _u10332))) )).
% 20.36/20.62 cnf(matrix-5195, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10335) | ~hBOOL(hAPP(hAPP(c_member(_u10336), _u10337), _u10338)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10335), hAPP(_u10339, _u10337)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10336, _u10335), _u10338), _u10339))) )).
% 20.36/20.62 cnf(matrix-5196, plain, ( ( hAPP(_u10340, 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), _u10340), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10341)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u10340), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u10341))) )).
% 20.36/20.62 cnf(matrix-5197, plain, ( ~class_Orderings_Olinorder(_u10342) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10342, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10342, _u10343, _u10344)), c_SetInterval_Oord__class_OatLeastAtMost(_u10342, _u10345, _u10346)) = c_SetInterval_Oord__class_OatLeastAtMost(_u10342, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10342), _u10343), _u10345), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10342), _u10344), _u10346))) )).
% 20.36/20.62 cnf(matrix-5198, plain, ( ~class_Orderings_Oorder(_u10347) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10347, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10347, _u10348, _u10349)), c_SetInterval_Oord__class_OatLeastAtMost(_u10347, _u10350, _u10351))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10347), _u10348), _u10349)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10347), _u10350), _u10348)) )).
% 20.36/20.62 cnf(matrix-5199, plain, ( ~class_Orderings_Oorder(_u10347) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10347, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10347, _u10348, _u10349)), c_SetInterval_Oord__class_OatLeastAtMost(_u10347, _u10350, _u10351))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10347), _u10348), _u10349)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10347), _u10349), _u10351)) )).
% 20.36/20.62 cnf(matrix-5200, plain, ( ~class_Orderings_Oorder(_u10347) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10347, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10347, _u10348, _u10349)), c_SetInterval_Oord__class_OatLeastAtMost(_u10347, _u10350, _u10351))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10347), _u10348), _u10349)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10347), _u10350), _u10348)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10347), _u10349), _u10351)) )).
% 20.36/20.62 cnf(matrix-5201, plain, ( ~class_Orderings_Oorder(_u10347) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10347, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10347, _u10348, _u10349)), c_SetInterval_Oord__class_OatLeastAtMost(_u10347, _u10350, _u10351))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10347), _u10350), _u10351)) )).
% 20.36/20.62 cnf(matrix-5202, plain, ( ~class_Orderings_Oorder(_u10347) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10347, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10347, _u10348, _u10349)), c_SetInterval_Oord__class_OatLeastAtMost(_u10347, _u10350, _u10351))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10347), _u10350), _u10351)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10347), _u10348), _u10349)) )).
% 20.36/20.62 cnf(matrix-5203, plain, ( ~class_Orderings_Oorder(_u10347) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10347, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10347, _u10348, _u10349)), c_SetInterval_Oord__class_OatLeastAtMost(_u10347, _u10350, _u10351))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10347), _u10350), _u10351)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10347), _u10350), _u10348)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10347), _u10349), _u10351)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10347), _u10350), _u10348)) )).
% 20.36/20.62 cnf(matrix-5204, plain, ( ~class_Orderings_Oorder(_u10347) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10347, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10347, _u10348, _u10349)), c_SetInterval_Oord__class_OatLeastAtMost(_u10347, _u10350, _u10351))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10347), _u10350), _u10351)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10347), _u10350), _u10348)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10347), _u10349), _u10351)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10347), _u10349), _u10351)) )).
% 20.36/20.62 cnf(matrix-5205, plain, ( ~class_Orderings_Oorder(_u10352) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10352, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u10352), _u10353)), c_SetInterval_Oord__class_OatLeastAtMost(_u10352, _u10353, _u10354)) = c_Orderings_Obot__class_Obot(tc_fun(_u10352, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5206, plain, ( ~class_Groups_Ocomm__monoid__add(_u10355) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10356), _u10357)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10355), _u10358), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10356, _u10357)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10355), hAPP(_u10358, _u10356)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10355), _u10358), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10356), _u10357)))) )).
% 20.36/20.62 cnf(matrix-5207, plain, ( ~class_Groups_Ocomm__monoid__add(_u10359) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10360)), _u10361)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10359), _u10362), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10361, hAPP(c_Nat_OSuc, _u10360))) = c_Groups_Ozero__class_Ozero(_u10359)) )).
% 20.36/20.62 cnf(matrix-5208, plain, ( ~class_Groups_Ocomm__monoid__add(_u10359) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10360)), _u10361)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10359), _u10362), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10361, hAPP(c_Nat_OSuc, _u10360))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10359), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10359), _u10362), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10361, _u10360))), hAPP(_u10362, hAPP(c_Nat_OSuc, _u10360)))) )).
% 20.36/20.62 cnf(matrix-5209, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10363) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10364), _u10365)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10363), _u10366), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10364, _u10363), _u10365), _u10367)) = hAPP(hAPP(c_Finite__Set_Ofold(_u10364, _u10363, hAPP(hAPP(c_COMBB(_u10363, tc_fun(_u10363, _u10363), _u10364), c_Lattices_Osemilattice__sup__class_Osup(_u10363)), _u10367)), _u10366), _u10365)) )).
% 20.36/20.62 cnf(matrix-5210, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10368) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10369), _u10370)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u10368), _u10371), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10369, _u10368), _u10370), _u10372)) = hAPP(hAPP(c_Finite__Set_Ofold(_u10369, _u10368, hAPP(hAPP(c_COMBB(_u10368, tc_fun(_u10368, _u10368), _u10369), c_Lattices_Osemilattice__inf__class_Oinf(_u10368)), _u10372)), _u10371), _u10370)) )).
% 20.36/20.62 cnf(matrix-5211, plain, ( ~class_Groups_Ocomm__monoid__add(_u10373) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10374), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10375), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10373), _u10376), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10374, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10375), _u10377))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10373), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10373), _u10376), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10374, _u10375))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10373), _u10376), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10375), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10375), _u10377))))) )).
% 20.36/20.62 cnf(matrix-5212, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10378) = 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, _u10378)), 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)))))))) )).
% 20.36/20.62 cnf(matrix-5213, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10379), _u10385)) | ~hBOOL(hAPP(_u10387, _u10379)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem201(_u10387, _u10385)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u10385))) )).
% 20.36/20.62 cnf(matrix-5214, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10379), _u10385)) | ~hBOOL(hAPP(_u10387, _u10379)) | hBOOL(hAPP(_u10387, skolem201(_u10387, _u10385))) )).
% 20.36/20.62 cnf(matrix-5215, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10381), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u10386))) | ~hBOOL(hAPP(_u10388, _u10381)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem202(_u10388, _u10386)), _u10386)) )).
% 20.36/20.62 cnf(matrix-5216, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10381), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u10386))) | ~hBOOL(hAPP(_u10388, _u10381)) | hBOOL(hAPP(_u10388, skolem202(_u10388, _u10386))) )).
% 20.36/20.62 cnf(matrix-5217, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10390), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u10395))) | hBOOL(hAPP(_u10397, _u10390)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem203(_u10397, _u10395)), _u10395)) )).
% 20.36/20.62 cnf(matrix-5218, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10390), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u10395))) | hBOOL(hAPP(_u10397, _u10390)) | ~hBOOL(hAPP(_u10397, skolem203(_u10397, _u10395))) )).
% 20.36/20.62 cnf(matrix-5219, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10392), _u10396)) | hBOOL(hAPP(_u10398, _u10392)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem204(_u10398, _u10396)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u10396))) )).
% 20.36/20.62 cnf(matrix-5220, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10392), _u10396)) | hBOOL(hAPP(_u10398, _u10392)) | ~hBOOL(hAPP(_u10398, skolem204(_u10398, _u10396))) )).
% 20.36/20.62 cnf(matrix-5221, plain, ( ( hAPP(c_Int_Onat, _u10399) = 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, _u10399)), 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))))))) )).
% 20.36/20.62 cnf(matrix-5222, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10409, tc_fun(_u10411, tc_fun(_u10413, tc_HOL_Obool))), _u10415), _u10417), _u10419), _u10421)) | hBOOL(hAPP(hAPP(c_member(_u10409), skolem205(_u10421, _u10419, _u10417, _u10415, _u10413, _u10411, _u10409)), _u10415)) )).
% 20.36/20.62 cnf(matrix-5223, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10409, tc_fun(_u10411, tc_fun(_u10413, tc_HOL_Obool))), _u10415), _u10417), _u10419), _u10421)) | hBOOL(hAPP(hAPP(hAPP(_u10417, skolem205(_u10421, _u10419, _u10417, _u10415, _u10413, _u10411, _u10409)), _u10419), _u10421)) )).
% 20.36/20.62 cnf(matrix-5224, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10410), _u10401), _u10416)) | ~hBOOL(hAPP(hAPP(hAPP(_u10418, _u10401), _u10420), _u10422)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10410, tc_fun(_u10412, tc_fun(_u10414, tc_HOL_Obool))), _u10416), _u10418), _u10420), _u10422)) )).
% 20.36/20.62 cnf(matrix-5225, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10432, tc_fun(_u10434, tc_fun(_u10436, tc_HOL_Obool))), _u10438), _u10440), _u10442), _u10444)) | ~hBOOL(hAPP(hAPP(c_member(_u10432), _u10423), _u10438)) | hBOOL(hAPP(hAPP(hAPP(_u10440, _u10423), _u10442), _u10444)) )).
% 20.36/20.62 cnf(matrix-5226, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10433, tc_fun(_u10435, tc_fun(_u10437, tc_HOL_Obool))), _u10439), _u10441), _u10443), _u10445)) | hBOOL(hAPP(hAPP(c_member(_u10433), skolem206(_u10445, _u10443, _u10441, _u10439, _u10437, _u10435, _u10433)), _u10439)) )).
% 20.36/20.62 cnf(matrix-5227, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10433, tc_fun(_u10435, tc_fun(_u10437, tc_HOL_Obool))), _u10439), _u10441), _u10443), _u10445)) | ~hBOOL(hAPP(hAPP(hAPP(_u10441, skolem206(_u10445, _u10443, _u10441, _u10439, _u10437, _u10435, _u10433)), _u10443), _u10445)) )).
% 20.36/20.62 cnf(matrix-5228, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10453, tc_fun(_u10455, tc_HOL_Obool)), _u10457), _u10459), _u10461)) | hBOOL(hAPP(hAPP(c_member(_u10453), skolem207(_u10461, _u10459, _u10457, _u10455, _u10453)), _u10457)) )).
% 20.36/20.62 cnf(matrix-5229, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10453, tc_fun(_u10455, tc_HOL_Obool)), _u10457), _u10459), _u10461)) | hBOOL(hAPP(hAPP(_u10459, skolem207(_u10461, _u10459, _u10457, _u10455, _u10453)), _u10461)) )).
% 20.36/20.62 cnf(matrix-5230, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10454), _u10447), _u10458)) | ~hBOOL(hAPP(hAPP(_u10460, _u10447), _u10462)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10454, tc_fun(_u10456, tc_HOL_Obool)), _u10458), _u10460), _u10462)) )).
% 20.36/20.62 cnf(matrix-5231, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10470, tc_fun(_u10472, tc_HOL_Obool)), _u10474), _u10476), _u10478)) | ~hBOOL(hAPP(hAPP(c_member(_u10470), _u10463), _u10474)) | hBOOL(hAPP(hAPP(_u10476, _u10463), _u10478)) )).
% 20.36/20.62 cnf(matrix-5232, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10471, tc_fun(_u10473, tc_HOL_Obool)), _u10475), _u10477), _u10479)) | hBOOL(hAPP(hAPP(c_member(_u10471), skolem208(_u10479, _u10477, _u10475, _u10473, _u10471)), _u10475)) )).
% 20.36/20.62 cnf(matrix-5233, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10471, tc_fun(_u10473, tc_HOL_Obool)), _u10475), _u10477), _u10479)) | ~hBOOL(hAPP(hAPP(_u10477, skolem208(_u10479, _u10477, _u10475, _u10473, _u10471)), _u10479)) )).
% 20.36/20.62 cnf(matrix-5234, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10480, tc_fun(_u10481, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10482, tc_fun(_u10480, tc_HOL_Obool)), _u10483), _u10484)), _u10485) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10482, tc_fun(_u10481, tc_HOL_Obool)), _u10483), hAPP(hAPP(c_COMBC(_u10482, tc_fun(_u10480, tc_fun(_u10481, tc_HOL_Obool)), tc_fun(_u10481, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10480, tc_HOL_Obool), tc_fun(tc_fun(_u10480, tc_fun(_u10481, tc_HOL_Obool)), tc_fun(_u10481, tc_HOL_Obool)), _u10482), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10480, tc_fun(_u10481, tc_HOL_Obool))), _u10484)), _u10485))) )).
% 20.36/20.62 cnf(matrix-5235, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10486, tc_fun(_u10487, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10488, tc_fun(_u10486, tc_HOL_Obool)), _u10489), _u10490)), _u10491) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10488, tc_fun(_u10487, tc_HOL_Obool)), _u10489), hAPP(hAPP(c_COMBC(_u10488, tc_fun(_u10486, tc_fun(_u10487, tc_HOL_Obool)), tc_fun(_u10487, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10486, tc_HOL_Obool), tc_fun(tc_fun(_u10486, tc_fun(_u10487, tc_HOL_Obool)), tc_fun(_u10487, tc_HOL_Obool)), _u10488), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10486, tc_fun(_u10487, tc_HOL_Obool))), _u10490)), _u10491))) )).
% 20.36/20.62 cnf(matrix-5236, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10492, tc_fun(_u10493, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10494, tc_fun(_u10492, tc_HOL_Obool)), _u10495), _u10496)), _u10497) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10494, tc_fun(_u10493, tc_HOL_Obool)), _u10495), hAPP(hAPP(c_COMBC(_u10494, tc_fun(_u10492, tc_fun(_u10493, tc_HOL_Obool)), tc_fun(_u10493, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10492, tc_HOL_Obool), tc_fun(tc_fun(_u10492, tc_fun(_u10493, tc_HOL_Obool)), tc_fun(_u10493, tc_HOL_Obool)), _u10494), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10492, tc_fun(_u10493, tc_HOL_Obool))), _u10496)), _u10497))) )).
% 20.36/20.62 cnf(matrix-5237, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10498, tc_fun(_u10499, tc_HOL_Obool)), _u10500), hAPP(hAPP(c_COMBC(_u10498, tc_fun(_u10501, tc_fun(_u10499, tc_HOL_Obool)), tc_fun(_u10499, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10501, tc_HOL_Obool), tc_fun(tc_fun(_u10501, tc_fun(_u10499, tc_HOL_Obool)), tc_fun(_u10499, tc_HOL_Obool)), _u10498), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10501, tc_fun(_u10499, tc_HOL_Obool))), _u10502)), _u10503)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10501, tc_fun(_u10499, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10498, tc_fun(_u10501, tc_HOL_Obool)), _u10500), _u10502)), _u10503)) )).
% 20.36/20.62 cnf(matrix-5238, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10504, tc_fun(_u10505, tc_HOL_Obool)), _u10506), hAPP(hAPP(c_COMBC(_u10504, tc_fun(_u10507, tc_fun(_u10505, tc_HOL_Obool)), tc_fun(_u10505, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10507, tc_HOL_Obool), tc_fun(tc_fun(_u10507, tc_fun(_u10505, tc_HOL_Obool)), tc_fun(_u10505, tc_HOL_Obool)), _u10504), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10507, tc_fun(_u10505, tc_HOL_Obool))), _u10508)), _u10509)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10507, tc_fun(_u10505, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10504, tc_fun(_u10507, tc_HOL_Obool)), _u10506), _u10508)), _u10509)) )).
% 20.36/20.62 cnf(matrix-5239, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10523), _u10512), _u10525)) | ~hBOOL(hAPP(hAPP(c_member(_u10521), _u10511), hAPP(_u10527, _u10512))) | hBOOL(hAPP(_u10529, _u10511)) | hBOOL(hAPP(hAPP(c_member(_u10521), skolem209(_u10529, _u10527, _u10525, _u10523, _u10521)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10523, tc_fun(_u10521, tc_HOL_Obool)), _u10525), _u10527))) )).
% 20.36/20.62 cnf(matrix-5240, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10523), _u10512), _u10525)) | ~hBOOL(hAPP(hAPP(c_member(_u10521), _u10511), hAPP(_u10527, _u10512))) | hBOOL(hAPP(_u10529, _u10511)) | ~hBOOL(hAPP(_u10529, skolem209(_u10529, _u10527, _u10525, _u10523, _u10521))) )).
% 20.36/20.62 cnf(matrix-5241, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10522), _u10515), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10524, tc_fun(_u10522, tc_HOL_Obool)), _u10526), _u10528))) | hBOOL(hAPP(_u10530, _u10515)) | hBOOL(hAPP(hAPP(c_member(_u10524), skolem210(_u10530, _u10528, _u10526, _u10524, _u10522)), _u10526)) )).
% 20.36/20.62 cnf(matrix-5242, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10522), _u10515), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10524, tc_fun(_u10522, tc_HOL_Obool)), _u10526), _u10528))) | hBOOL(hAPP(_u10530, _u10515)) | hBOOL(hAPP(hAPP(c_member(_u10522), skolem211(_u10530, _u10528, _u10526, _u10524, _u10522)), hAPP(_u10528, skolem210(_u10530, _u10528, _u10526, _u10524, _u10522)))) )).
% 20.36/20.62 cnf(matrix-5243, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10522), _u10515), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10524, tc_fun(_u10522, tc_HOL_Obool)), _u10526), _u10528))) | hBOOL(hAPP(_u10530, _u10515)) | ~hBOOL(hAPP(_u10530, skolem211(_u10530, _u10528, _u10526, _u10524, _u10522))) )).
% 20.36/20.62 cnf(matrix-5244, plain, ( ( hAPP(c_Int_ORep__Integ, _u10533) != hAPP(c_Int_ORep__Integ, _u10535)) | ( _u10533 = _u10535) )).
% 20.36/20.62 cnf(matrix-5245, plain, ( ( _u10534 != _u10536) | ( hAPP(c_Int_ORep__Integ, _u10534) = hAPP(c_Int_ORep__Integ, _u10536)) )).
% 20.36/20.62 cnf(matrix-5246, plain, ( ( hAPP(c_Int_OAbs__Integ, hAPP(c_Int_ORep__Integ, _u10537)) = _u10537) )).
% 20.36/20.62 cnf(matrix-5247, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10540), _u10542)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u10542, _u10540) = c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5248, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10541), _u10543)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u10543, _u10541) = hAPP(hAPP(c_Set_Oinsert(tc_Int_Oint), _u10543), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10543), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u10541))) )).
% 20.36/20.62 cnf(matrix-5249, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u10544, _u10545)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10545), _u10544)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 20.36/20.62 cnf(matrix-5250, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10549)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10550), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10551)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10548), _u10550)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10548), _u10549)), _u10550)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem212(_u10551, _u10550, _u10549, _u10548)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10549))) )).
% 20.36/20.62 cnf(matrix-5251, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10549)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10550), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10551)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10548), _u10550)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10548), _u10549)), _u10550)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem213(_u10551, _u10550, _u10549, _u10548)), _u10551)) )).
% 20.36/20.62 cnf(matrix-5252, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10549)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10550), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10551)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10548), _u10550)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10548), _u10549)), _u10550)) | ( _u10548 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem213(_u10551, _u10550, _u10549, _u10548)), skolem212(_u10551, _u10550, _u10549, _u10548))) )).
% 20.36/20.62 cnf(matrix-5253, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10555)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10556), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10557)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10556), _u10554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10556), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10554), _u10555))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem214(_u10557, _u10556, _u10555, _u10554)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10555))) )).
% 20.36/20.62 cnf(matrix-5254, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10555)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10556), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10557)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10556), _u10554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10556), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10554), _u10555))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem215(_u10557, _u10556, _u10555, _u10554)), _u10557)) )).
% 20.36/20.62 cnf(matrix-5255, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10555)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10556), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10557)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10556), _u10554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10556), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10554), _u10555))) | ( _u10554 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem215(_u10557, _u10556, _u10555, _u10554)), skolem214(_u10557, _u10556, _u10555, _u10554))) )).
% 20.36/20.62 cnf(matrix-5256, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10561)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10563), _u10560)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10563), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10560), _u10561))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem216(_u10563, _u10562, _u10561, _u10560)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10561))) )).
% 20.36/20.62 cnf(matrix-5257, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10561)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10563), _u10560)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10563), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10560), _u10561))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem217(_u10563, _u10562, _u10561, _u10560)), _u10562)) )).
% 20.36/20.62 cnf(matrix-5258, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10561)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10563), _u10560)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10563), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10560), _u10561))) | ( _u10560 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem217(_u10563, _u10562, _u10561, _u10560)), skolem216(_u10563, _u10562, _u10561, _u10560))) )).
% 20.36/20.62 cnf(matrix-5259, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u10564, _u10565))) )).
% 20.36/20.62 cnf(matrix-5260, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10569)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10570), _u10571)) | ( _u10568 = _u10570) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10568), _u10569) != _u10570) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem218(_u10571, _u10570, _u10569, _u10568)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10569))) )).
% 20.36/20.62 cnf(matrix-5261, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10569)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10570), _u10571)) | ( _u10568 = _u10570) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10568), _u10569) != _u10570) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem219(_u10571, _u10570, _u10569, _u10568)), _u10571)) )).
% 20.36/20.62 cnf(matrix-5262, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10569)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10570), _u10571)) | ( _u10568 = _u10570) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10568), _u10569) != _u10570) | ( _u10568 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem219(_u10571, _u10570, _u10569, _u10568)), skolem218(_u10571, _u10570, _u10569, _u10568))) )).
% 20.36/20.62 cnf(matrix-5263, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10575)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10576), _u10577)) | ( _u10574 = _u10576) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10574), _u10575) != _u10576) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem220(_u10577, _u10576, _u10575, _u10574)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10575))) )).
% 20.36/20.62 cnf(matrix-5264, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10575)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10576), _u10577)) | ( _u10574 = _u10576) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10574), _u10575) != _u10576) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem221(_u10577, _u10576, _u10575, _u10574)), _u10577)) )).
% 20.36/20.62 cnf(matrix-5265, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10575)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10576), _u10577)) | ( _u10574 = _u10576) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10574), _u10575) != _u10576) | ( _u10574 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem221(_u10577, _u10576, _u10575, _u10574)), skolem220(_u10577, _u10576, _u10575, _u10574))) )).
% 20.36/20.62 cnf(matrix-5266, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10581)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10582), _u10583)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10582), _u10580)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10582), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10580), _u10581))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem222(_u10583, _u10582, _u10581, _u10580)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10581))) )).
% 20.36/20.62 cnf(matrix-5267, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10581)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10582), _u10583)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10582), _u10580)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10582), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10580), _u10581))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem223(_u10583, _u10582, _u10581, _u10580)), _u10583)) )).
% 20.36/20.62 cnf(matrix-5268, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10581)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10582), _u10583)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10582), _u10580)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10582), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10580), _u10581))) | ( _u10580 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem223(_u10583, _u10582, _u10581, _u10580)), skolem222(_u10583, _u10582, _u10581, _u10580))) )).
% 20.36/20.62 cnf(matrix-5269, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint, tc_HOL_Obool)))) )).
% 20.36/20.62 cnf(matrix-5270, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10586)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10587), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10588)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10587), _u10586) = _u10587) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem224(_u10588, _u10587, _u10586)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10586))) )).
% 20.36/20.62 cnf(matrix-5271, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10586)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10587), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10588)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10587), _u10586) = _u10587) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem225(_u10588, _u10587, _u10586)), _u10588)) )).
% 20.36/20.62 cnf(matrix-5272, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10586)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10587), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10588)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10587), _u10586) = _u10587) | ( _u10587 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem225(_u10588, _u10587, _u10586)), skolem224(_u10588, _u10587, _u10586))) )).
% 20.36/20.62 cnf(matrix-5273, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10591)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10592), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10593)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10592), _u10591) = _u10592) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem226(_u10593, _u10592, _u10591)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10591))) )).
% 20.36/20.62 cnf(matrix-5274, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10591)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10592), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10593)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10592), _u10591) = _u10592) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem227(_u10593, _u10592, _u10591)), _u10593)) )).
% 20.36/20.62 cnf(matrix-5275, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10591)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10592), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10593)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10592), _u10591) = _u10592) | ( _u10592 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem227(_u10593, _u10592, _u10591)), skolem226(_u10593, _u10592, _u10591))) )).
% 20.36/20.62 cnf(matrix-5276, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10597)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10598), _u10599)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10596), _u10598)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10596), _u10597)), _u10598)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem228(_u10599, _u10598, _u10597, _u10596)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10597))) )).
% 20.36/20.62 cnf(matrix-5277, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10597)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10598), _u10599)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10596), _u10598)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10596), _u10597)), _u10598)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem229(_u10599, _u10598, _u10597, _u10596)), _u10599)) )).
% 20.36/20.62 cnf(matrix-5278, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10597)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10598), _u10599)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10596), _u10598)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10596), _u10597)), _u10598)) | ( _u10596 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem229(_u10599, _u10598, _u10597, _u10596)), skolem228(_u10599, _u10598, _u10597, _u10596))) )).
% 20.36/20.62 cnf(matrix-5279, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10603)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10602), _u10605)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10602), _u10603)), _u10605)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem230(_u10605, _u10604, _u10603, _u10602)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10603))) )).
% 20.36/20.62 cnf(matrix-5280, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10603)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10602), _u10605)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10602), _u10603)), _u10605)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem231(_u10605, _u10604, _u10603, _u10602)), _u10604)) )).
% 20.36/20.62 cnf(matrix-5281, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10603)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10602), _u10605)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10602), _u10603)), _u10605)) | ( _u10602 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem231(_u10605, _u10604, _u10603, _u10602)), skolem230(_u10605, _u10604, _u10603, _u10602))) )).
% 20.36/20.62 cnf(matrix-5282, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10612)) | ~hBOOL(hAPP(_u10613, _u10608)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem236(_u10613, _u10612)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10612))) | hBOOL(hAPP(_u10613, skolem232(_u10613, _u10612))) | ~hBOOL(hAPP(_u10613, skolem234(_u10613, _u10612))) )).
% 20.36/20.62 cnf(matrix-5283, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10612)) | ~hBOOL(hAPP(_u10613, _u10608)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem236(_u10613, _u10612)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10612))) | hBOOL(hAPP(_u10613, skolem232(_u10613, _u10612))) | hBOOL(hAPP(_u10613, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem234(_u10613, _u10612)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem235(_u10613, _u10612)), _u10612)))) )).
% 20.36/20.62 cnf(matrix-5284, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10612)) | ~hBOOL(hAPP(_u10613, _u10608)) | hBOOL(hAPP(_u10613, skolem236(_u10613, _u10612))) | hBOOL(hAPP(_u10613, skolem232(_u10613, _u10612))) | ~hBOOL(hAPP(_u10613, skolem234(_u10613, _u10612))) )).
% 20.36/20.62 cnf(matrix-5285, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10612)) | ~hBOOL(hAPP(_u10613, _u10608)) | hBOOL(hAPP(_u10613, skolem236(_u10613, _u10612))) | hBOOL(hAPP(_u10613, skolem232(_u10613, _u10612))) | hBOOL(hAPP(_u10613, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem234(_u10613, _u10612)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem235(_u10613, _u10612)), _u10612)))) )).
% 20.36/20.62 cnf(matrix-5286, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10612)) | ~hBOOL(hAPP(_u10613, _u10608)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem236(_u10613, _u10612)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10612))) | ~hBOOL(hAPP(_u10613, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem232(_u10613, _u10612)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem233(_u10613, _u10612)), _u10612)))) | ~hBOOL(hAPP(_u10613, skolem234(_u10613, _u10612))) )).
% 20.36/20.62 cnf(matrix-5287, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10612)) | ~hBOOL(hAPP(_u10613, _u10608)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem236(_u10613, _u10612)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10612))) | ~hBOOL(hAPP(_u10613, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem232(_u10613, _u10612)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem233(_u10613, _u10612)), _u10612)))) | hBOOL(hAPP(_u10613, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem234(_u10613, _u10612)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem235(_u10613, _u10612)), _u10612)))) )).
% 20.36/20.62 cnf(matrix-5288, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10612)) | ~hBOOL(hAPP(_u10613, _u10608)) | hBOOL(hAPP(_u10613, skolem236(_u10613, _u10612))) | ~hBOOL(hAPP(_u10613, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem232(_u10613, _u10612)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem233(_u10613, _u10612)), _u10612)))) | ~hBOOL(hAPP(_u10613, skolem234(_u10613, _u10612))) )).
% 20.36/20.62 cnf(matrix-5289, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10612)) | ~hBOOL(hAPP(_u10613, _u10608)) | hBOOL(hAPP(_u10613, skolem236(_u10613, _u10612))) | ~hBOOL(hAPP(_u10613, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem232(_u10613, _u10612)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem233(_u10613, _u10612)), _u10612)))) | hBOOL(hAPP(_u10613, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem234(_u10613, _u10612)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem235(_u10613, _u10612)), _u10612)))) )).
% 20.36/20.62 cnf(matrix-5290, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10612)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10610), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10612))) | ~hBOOL(hAPP(_u10613, _u10610)) | hBOOL(hAPP(_u10613, skolem237(_u10613, _u10612))) | hBOOL(hAPP(_u10613, skolem232(_u10613, _u10612))) | ~hBOOL(hAPP(_u10613, skolem234(_u10613, _u10612))) )).
% 20.36/20.62 cnf(matrix-5291, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10612)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10610), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10612))) | ~hBOOL(hAPP(_u10613, _u10610)) | hBOOL(hAPP(_u10613, skolem237(_u10613, _u10612))) | hBOOL(hAPP(_u10613, skolem232(_u10613, _u10612))) | hBOOL(hAPP(_u10613, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem234(_u10613, _u10612)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem235(_u10613, _u10612)), _u10612)))) )).
% 20.36/20.62 cnf(matrix-5292, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10612)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10610), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10612))) | ~hBOOL(hAPP(_u10613, _u10610)) | hBOOL(hAPP(_u10613, skolem237(_u10613, _u10612))) | ~hBOOL(hAPP(_u10613, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem232(_u10613, _u10612)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem233(_u10613, _u10612)), _u10612)))) | ~hBOOL(hAPP(_u10613, skolem234(_u10613, _u10612))) )).
% 20.36/20.62 cnf(matrix-5293, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10612)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10610), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10612))) | ~hBOOL(hAPP(_u10613, _u10610)) | hBOOL(hAPP(_u10613, skolem237(_u10613, _u10612))) | ~hBOOL(hAPP(_u10613, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem232(_u10613, _u10612)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem233(_u10613, _u10612)), _u10612)))) | hBOOL(hAPP(_u10613, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem234(_u10613, _u10612)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem235(_u10613, _u10612)), _u10612)))) )).
% 20.36/20.62 cnf(matrix-5294, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10621)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10623), _u10620)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10623), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10620), _u10621))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem238(_u10623, _u10622, _u10621, _u10620)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10621))) )).
% 20.36/20.62 cnf(matrix-5295, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10621)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10623), _u10620)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10623), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10620), _u10621))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem239(_u10623, _u10622, _u10621, _u10620)), _u10622)) )).
% 20.36/20.62 cnf(matrix-5296, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10621)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10623), _u10620)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10623), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10620), _u10621))) | ( _u10620 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem239(_u10623, _u10622, _u10621, _u10620)), skolem238(_u10623, _u10622, _u10621, _u10620))) )).
% 20.36/20.62 cnf(matrix-5297, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10627)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10626), _u10629)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10626), _u10627)), _u10629)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem240(_u10629, _u10628, _u10627, _u10626)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10627))) )).
% 20.36/20.62 cnf(matrix-5298, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10627)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10626), _u10629)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10626), _u10627)), _u10629)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem241(_u10629, _u10628, _u10627, _u10626)), _u10628)) )).
% 20.36/20.62 cnf(matrix-5299, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10627)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10626), _u10629)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10626), _u10627)), _u10629)) | ( _u10626 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem241(_u10629, _u10628, _u10627, _u10626)), skolem240(_u10629, _u10628, _u10627, _u10626))) )).
% 20.36/20.62 cnf(matrix-5300, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u10630, _u10631)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10631), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10630), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 20.36/20.62 cnf(matrix-5301, plain, ( ( c_Relation_OId__on(_u10632, _u10633) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10632, tc_fun(tc_prod(_u10632, _u10632), tc_HOL_Obool)), _u10633), hAPP(hAPP(c_COMBC(_u10632, tc_fun(tc_prod(_u10632, _u10632), tc_HOL_Obool), tc_fun(tc_prod(_u10632, _u10632), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_prod(_u10632, _u10632), tc_fun(tc_fun(tc_prod(_u10632, _u10632), tc_HOL_Obool), tc_fun(tc_prod(_u10632, _u10632), tc_HOL_Obool)), _u10632), c_Set_Oinsert(tc_prod(_u10632, _u10632))), hAPP(hAPP(c_COMBS(_u10632, _u10632, tc_prod(_u10632, _u10632)), c_Product__Type_OPair(_u10632, _u10632)), c_COMBI(_u10632)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u10632, _u10632), tc_HOL_Obool))))) )).
% 20.36/20.62 cnf(matrix-5302, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u10634, _u10635))) )).
% 20.36/20.62 cnf(matrix-5303, plain, ( ( c_Relation_OId__on(_u10636, _u10637) = hAPP(c_Product__Type_Oprod_Oprod__case(_u10636, _u10636, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u10636, tc_HOL_Obool, tc_fun(_u10636, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10636, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_HOL_Obool, tc_fun(_u10636, tc_HOL_Obool)), _u10636), c_COMBC(_u10636, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10636, tc_HOL_Obool), tc_fun(_u10636, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u10636), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u10636), c_fconj)), c_fequal))), _u10637))) )).
% 20.36/20.62 cnf(matrix-5304, plain, ( ~class_Orderings_Oorder(_u10638) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10638), _u10639), _u10640)) | ( c_SetInterval_Oord__class_OgreaterThanLessThan(_u10638, _u10640, _u10639) = c_Orderings_Obot__class_Obot(tc_fun(_u10638, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5305, plain, ( ( c_Relation_OId__on(_u10641, c_Orderings_Obot__class_Obot(tc_fun(_u10641, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u10641, _u10641), tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5306, plain, ( ( hAPP(c_Relation_OImage(_u10642, _u10642, c_Relation_OId__on(_u10642, _u10643)), _u10644) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10642, tc_HOL_Obool)), _u10643), _u10644)) )).
% 20.36/20.62 cnf(matrix-5307, plain, ( ~class_Orderings_Oorder(_u10645) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10645, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10645, _u10646, _u10647)), c_SetInterval_Oord__class_OatLeastAtMost(_u10645, _u10647, _u10648)) = c_Orderings_Obot__class_Obot(tc_fun(_u10645, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5308, plain, ( ~class_Orderings_Oorder(_u10649) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10649, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10649, _u10650, _u10651)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10649, _u10651, _u10652)) = c_Orderings_Obot__class_Obot(tc_fun(_u10649, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5309, plain, ( ~class_Orderings_Olinorder(_u10653) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10653, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10653, _u10654, _u10655)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10653, _u10656, _u10657)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u10653, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10653), _u10654), _u10656), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10653), _u10655), _u10657))) )).
% 20.36/20.62 cnf(matrix-5310, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10662, _u10662)), hAPP(hAPP(c_Product__Type_OPair(_u10662, _u10662), _u10664), _u10666)), c_Relation_OId__on(_u10662, _u10668))) | ( _u10664 = _u10666) )).
% 20.36/20.62 cnf(matrix-5311, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10662, _u10662)), hAPP(hAPP(c_Product__Type_OPair(_u10662, _u10662), _u10664), _u10666)), c_Relation_OId__on(_u10662, _u10668))) | hBOOL(hAPP(hAPP(c_member(_u10662), _u10664), _u10668)) )).
% 20.36/20.62 cnf(matrix-5312, plain, ( ( _u10665 != _u10667) | ~hBOOL(hAPP(hAPP(c_member(_u10663), _u10665), _u10669)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10663, _u10663)), hAPP(hAPP(c_Product__Type_OPair(_u10663, _u10663), _u10665), _u10667)), c_Relation_OId__on(_u10663, _u10669))) )).
% 20.36/20.62 cnf(matrix-5313, plain, ( ( _u10670 != _u10671) | ~hBOOL(hAPP(hAPP(c_member(_u10672), _u10670), _u10673)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10672, _u10672)), hAPP(hAPP(c_Product__Type_OPair(_u10672, _u10672), _u10670), _u10671)), c_Relation_OId__on(_u10672, _u10673))) )).
% 20.36/20.62 cnf(matrix-5314, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10674, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10675)), _u10676) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10674, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10674, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u10675)), _u10676)), hAPP(_u10676, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 20.36/20.62 cnf(matrix-5315, plain, ( ~class_Orderings_Olinorder(_u10677) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10677), _u10678), _u10679)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10677), _u10679), _u10680)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10677, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10677, _u10678, _u10679)), c_SetInterval_Oord__class_OatLeastAtMost(_u10677, _u10679, _u10680)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10677, _u10678, _u10680)) )).
% 20.36/20.62 cnf(matrix-5316, plain, ( ~class_Orderings_Olinorder(_u10681) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10681), _u10682), _u10683)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10681, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10681, _u10682, _u10683)), hAPP(hAPP(c_Set_Oinsert(_u10681), _u10683), c_Orderings_Obot__class_Obot(tc_fun(_u10681, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10681, _u10682, _u10683)) )).
% 20.36/20.62 cnf(matrix-5317, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u10684, _u10685))) )).
% 20.36/20.62 cnf(matrix-5318, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u10686, _u10687))) )).
% 20.36/20.62 cnf(matrix-5319, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u10688, _u10689))) )).
% 20.36/20.62 cnf(matrix-5320, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10690))) )).
% 20.36/20.62 cnf(matrix-5321, plain, ( ~class_Orderings_Oorder(_u10691) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10691, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u10691), _u10692)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10691, _u10692, _u10693)) = c_Orderings_Obot__class_Obot(tc_fun(_u10691, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5322, plain, ( ~class_Orderings_Olinorder(_u10694) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10694), _u10695), _u10696)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10694, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u10694), _u10695)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10694, _u10695, _u10696)) = hAPP(c_SetInterval_Oord__class_OatMost(_u10694), _u10696)) )).
% 20.36/20.62 cnf(matrix-5323, plain, ( ~class_Orderings_Olinorder(_u10697) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u10697), _u10698) != hAPP(c_SetInterval_Oord__class_OatMost(_u10697), _u10699)) | ( _u10698 = _u10699) )).
% 20.36/20.62 cnf(matrix-5324, plain, ( ~class_Orderings_Olinorder(_u10697) | ( _u10698 != _u10699) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u10697), _u10698) = hAPP(c_SetInterval_Oord__class_OatMost(_u10697), _u10699)) )).
% 20.36/20.62 cnf(matrix-5325, plain, ( ~class_Orderings_Oorder(_u10700) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10700), _u10701), _u10702)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u10700, _u10702, _u10701) = c_Orderings_Obot__class_Obot(tc_fun(_u10700, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5326, plain, ( ~class_Orderings_Oorder(_u10703) | ( c_Orderings_Obot__class_Obot(tc_fun(_u10703, tc_HOL_Obool)) != c_SetInterval_Oord__class_OgreaterThanAtMost(_u10703, _u10704, _u10705)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10703), _u10704), _u10705)) )).
% 20.36/20.62 cnf(matrix-5327, plain, ( ~class_Orderings_Oorder(_u10703) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10703), _u10704), _u10705)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u10703, tc_HOL_Obool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10703, _u10704, _u10705)) )).
% 20.36/20.62 cnf(matrix-5328, plain, ( ~class_Orderings_Oorder(_u10706) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u10706, _u10707, _u10708) != c_Orderings_Obot__class_Obot(tc_fun(_u10706, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10706), _u10707), _u10708)) )).
% 20.36/20.62 cnf(matrix-5329, plain, ( ~class_Orderings_Oorder(_u10706) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10706), _u10707), _u10708)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u10706, _u10707, _u10708) = c_Orderings_Obot__class_Obot(tc_fun(_u10706, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5330, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u10709) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10709)) )).
% 20.36/20.62 cnf(matrix-5331, plain, ( ~class_Orderings_Olinorder(_u10710) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10710), _u10711), _u10712)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10710), _u10712), _u10713)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10710, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10710, _u10711, _u10712)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10710, _u10712, _u10713)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10710, _u10711, _u10713)) )).
% 20.36/20.62 cnf(matrix-5332, plain, ( ~class_Orderings_Oorder(_u10714) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10714, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10714, _u10715, _u10716)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10714, _u10716, _u10717)) = c_Orderings_Obot__class_Obot(tc_fun(_u10714, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5333, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10718)) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10718)) )).
% 20.36/20.62 cnf(matrix-5334, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10719), _u10720) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u10719, _u10720)) )).
% 20.36/20.62 cnf(matrix-5335, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10721)) = hAPP(c_Nat_OSuc, _u10721)) )).
% 20.36/20.62 cnf(matrix-5336, plain, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10722)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10722)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10722))) )).
% 20.36/20.62 cnf(matrix-5337, plain, ( ~class_Orderings_Oord(_u10723) | ~hBOOL(hAPP(hAPP(c_member(_u10723), _u10724), hAPP(c_SetInterval_Oord__class_OatMost(_u10723), _u10725))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10723), _u10724), _u10725)) )).
% 20.36/20.62 cnf(matrix-5338, plain, ( ~class_Orderings_Oord(_u10723) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10723), _u10724), _u10725)) | hBOOL(hAPP(hAPP(c_member(_u10723), _u10724), hAPP(c_SetInterval_Oord__class_OatMost(_u10723), _u10725))) )).
% 20.36/20.62 cnf(matrix-5339, plain, ( ~class_Orderings_Oorder(_u10726) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10726, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u10726), _u10727)), hAPP(c_SetInterval_Oord__class_OatMost(_u10726), _u10728))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10726), _u10727), _u10728)) )).
% 20.36/20.62 cnf(matrix-5340, plain, ( ~class_Orderings_Oorder(_u10726) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10726), _u10727), _u10728)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10726, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u10726), _u10727)), hAPP(c_SetInterval_Oord__class_OatMost(_u10726), _u10728))) )).
% 20.36/20.62 cnf(matrix-5341, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u10729, _u10730)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10730), _u10729)) )).
% 20.36/20.62 cnf(matrix-5342, plain, ( ~class_Orderings_Olinorder(_u10731) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10731), _u10732), _u10733)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10731), _u10733), _u10734)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10731, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10731, _u10732, _u10733)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10731, _u10733, _u10734)) = c_SetInterval_Oord__class_OatLeastAtMost(_u10731, _u10732, _u10734)) )).
% 20.36/20.62 cnf(matrix-5343, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10735), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u10736) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u10735, _u10736)) )).
% 20.36/20.62 cnf(matrix-5344, plain, ( ~class_Orderings_Oorder(_u10737) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10737, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10737, _u10738, _u10739)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10737, _u10739, _u10740)) = c_Orderings_Obot__class_Obot(tc_fun(_u10737, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5345, 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))) )).
% 20.36/20.62 cnf(matrix-5346, plain, ( ~class_Orderings_Olinorder(_u10741) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10741, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10741, _u10742, _u10743)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10741, _u10744, _u10745)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10741, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10741), _u10742), _u10744), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10741), _u10743), _u10745))) )).
% 20.36/20.62 cnf(matrix-5347, plain, ( ~class_Groups_Ocomm__monoid__add(_u10746) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10746), _u10747), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10748))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10746), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10746), _u10747), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10748))), hAPP(_u10747, hAPP(c_Nat_OSuc, _u10748)))) )).
% 20.36/20.62 cnf(matrix-5348, 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)))) )).
% 20.36/20.62 cnf(matrix-5349, plain, ( ~class_Orderings_Oorder(_u10749) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10749, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10749, _u10750, _u10751)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10749, _u10751, _u10752)) = c_Orderings_Obot__class_Obot(tc_fun(_u10749, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5350, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u10753, _u10754)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10754), hAPP(c_Nat_OSuc, _u10753))) )).
% 20.36/20.62 cnf(matrix-5351, plain, ( ~class_Orderings_Olinorder(_u10755) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10755, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u10755), _u10756)), c_SetInterval_Oord__class_OatLeastAtMost(_u10755, _u10757, _u10758)) = c_SetInterval_Oord__class_OatLeastAtMost(_u10755, _u10757, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10755), _u10756), _u10758))) )).
% 20.36/20.62 cnf(matrix-5352, plain, ( ~class_Orderings_Olinorder(_u10759) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10759, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10759, _u10760, _u10761)), hAPP(c_SetInterval_Oord__class_OatMost(_u10759), _u10762)) = c_SetInterval_Oord__class_OatLeastAtMost(_u10759, _u10760, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10759), _u10761), _u10762))) )).
% 20.36/20.62 cnf(matrix-5353, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u10763, _u10764)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10764), _u10763))) )).
% 20.36/20.62 cnf(matrix-5354, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10765, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10766)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u10765, tc_HOL_Obool), tc_Nat_Onat), _u10767), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u10768))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10765, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10768, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10766), _u10768))), _u10767)) )).
% 20.36/20.62 cnf(matrix-5355, plain, ( ~class_Orderings_Oorder(_u10769) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10769, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u10769), _u10770)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10769, _u10770, _u10771)) = c_Orderings_Obot__class_Obot(tc_fun(_u10769, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5356, plain, ( ~class_Orderings_Olinorder(_u10772) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10772), _u10773), _u10774)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10772), _u10774), _u10775)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10772, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10772, _u10773, _u10774)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10772, _u10774, _u10775)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u10772, _u10773, _u10775)) )).
% 20.36/20.62 cnf(matrix-5357, plain, ( ~class_Groups_Ocomm__monoid__add(_u10776) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10777), _u10778)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10776), _u10779), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10777, _u10778)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10776), hAPP(_u10779, _u10777)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10776), _u10779), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u10777, _u10778)))) )).
% 20.36/20.62 cnf(matrix-5358, plain, ( ~class_Orderings_Olinorder(_u10780) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10780, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u10780), _u10781)), hAPP(hAPP(c_Set_Oinsert(_u10780), _u10781), c_Orderings_Obot__class_Obot(tc_fun(_u10780, tc_HOL_Obool)))) = hAPP(c_SetInterval_Oord__class_OatMost(_u10780), _u10781)) )).
% 20.36/20.62 cnf(matrix-5359, plain, ( ~class_Orderings_Olinorder(_u10782) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10782), _u10783), _u10784)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10782, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u10782), _u10783)), c_SetInterval_Oord__class_OatLeastAtMost(_u10782, _u10783, _u10784)) = hAPP(c_SetInterval_Oord__class_OatMost(_u10782), _u10784)) )).
% 20.36/20.62 cnf(matrix-5360, plain, ( ~class_Orderings_Olinorder(_u10785) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10785), _u10786), _u10787)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10785, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u10785), _u10786)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10785, _u10786, _u10787)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u10785), _u10787)) )).
% 20.36/20.62 cnf(matrix-5361, plain, ( ~class_Orderings_Olinorder(_u10788) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10788), _u10789), _u10790)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10788, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u10788), _u10789), c_Orderings_Obot__class_Obot(tc_fun(_u10788, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10788, _u10789, _u10790)) = c_SetInterval_Oord__class_OatLeastAtMost(_u10788, _u10789, _u10790)) )).
% 20.36/20.62 cnf(matrix-5362, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10791), _u10792), _u10793) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10791, tc_fun(tc_fun(_u10791, tc_HOL_Obool), tc_HOL_Obool)), _u10792), hAPP(hAPP(c_COMBC(_u10791, tc_fun(tc_fun(_u10791, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u10791, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10791, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u10791, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u10791, tc_HOL_Obool), tc_HOL_Obool)), _u10791), c_Set_Oinsert(tc_fun(_u10791, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u10791, tc_HOL_Obool), tc_fun(_u10791, tc_HOL_Obool), _u10791), c_Relation_OImage(_u10791, _u10791, _u10793)), hAPP(hAPP(c_COMBC(_u10791, tc_fun(_u10791, tc_HOL_Obool), tc_fun(_u10791, tc_HOL_Obool)), c_Set_Oinsert(_u10791)), c_Orderings_Obot__class_Obot(tc_fun(_u10791, tc_HOL_Obool)))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u10791, tc_HOL_Obool), tc_HOL_Obool))))) )).
% 20.36/20.62 cnf(matrix-5363, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10795, _u10795)), _u10796), c_Relation_OId__on(_u10795, _u10797))) | hBOOL(hAPP(hAPP(c_member(_u10795), skolem242(_u10797, _u10796, _u10795)), _u10797)) )).
% 20.36/20.62 cnf(matrix-5364, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10795, _u10795)), _u10796), c_Relation_OId__on(_u10795, _u10797))) | ( _u10796 = hAPP(hAPP(c_Product__Type_OPair(_u10795, _u10795), skolem242(_u10797, _u10796, _u10795)), skolem242(_u10797, _u10796, _u10795))) )).
% 20.36/20.62 cnf(matrix-5365, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10799), _u10800), hAPP(c_Relation_OImage(_u10801, _u10799, _u10802), _u10803))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10801, _u10799)), hAPP(hAPP(c_Product__Type_OPair(_u10801, _u10799), skolem243(_u10803, _u10802, _u10801, _u10800, _u10799)), _u10800)), _u10802)) )).
% 20.36/20.62 cnf(matrix-5366, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10799), _u10800), hAPP(c_Relation_OImage(_u10801, _u10799, _u10802), _u10803))) | hBOOL(hAPP(hAPP(c_member(_u10801), skolem243(_u10803, _u10802, _u10801, _u10800, _u10799)), _u10803)) )).
% 20.36/20.62 cnf(matrix-5367, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10807), _u10809), _u10811) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u10807, tc_HOL_Obool), tc_HOL_Obool))) | ( _u10809 = c_Orderings_Obot__class_Obot(tc_fun(_u10807, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5368, plain, ( ( _u10810 != c_Orderings_Obot__class_Obot(tc_fun(_u10808, tc_HOL_Obool))) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10808), _u10810), _u10812) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u10808, tc_HOL_Obool), tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5369, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u10816, tc_HOL_Obool), tc_HOL_Obool)) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10816), _u10818), _u10820)) | ( _u10818 = c_Orderings_Obot__class_Obot(tc_fun(_u10816, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5370, plain, ( ( _u10819 != c_Orderings_Obot__class_Obot(tc_fun(_u10817, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u10817, tc_HOL_Obool), tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10817), _u10819), _u10821)) )).
% 20.36/20.62 cnf(matrix-5371, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10822), c_Orderings_Obot__class_Obot(tc_fun(_u10822, tc_HOL_Obool))), _u10823) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u10822, tc_HOL_Obool), tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5372, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10824), _u10825), _u10826)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10824, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10824, _u10824, _u10827), hAPP(hAPP(c_Set_Oinsert(_u10824), _u10825), c_Orderings_Obot__class_Obot(tc_fun(_u10824, tc_HOL_Obool))))), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10824), _u10826), _u10827))) )).
% 20.36/20.62 cnf(matrix-5373, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10828), hAPP(hAPP(c_Set_Oinsert(_u10828), _u10829), c_Orderings_Obot__class_Obot(tc_fun(_u10828, tc_HOL_Obool)))), _u10830) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u10828, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10828, _u10828, _u10830), hAPP(hAPP(c_Set_Oinsert(_u10828), _u10829), c_Orderings_Obot__class_Obot(tc_fun(_u10828, tc_HOL_Obool))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u10828, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 20.36/20.62 cnf(matrix-5374, plain, ( ~c_Equiv__Relations_Oequiv(_u10831, _u10832, _u10833) | ~hBOOL(hAPP(hAPP(c_member(_u10831), _u10834), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10831, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10831, _u10831, _u10833), hAPP(hAPP(c_Set_Oinsert(_u10831), _u10835), c_Orderings_Obot__class_Obot(tc_fun(_u10831, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u10831, _u10831, _u10833), hAPP(hAPP(c_Set_Oinsert(_u10831), _u10836), c_Orderings_Obot__class_Obot(tc_fun(_u10831, tc_HOL_Obool))))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10831, _u10831)), hAPP(hAPP(c_Product__Type_OPair(_u10831, _u10831), _u10835), _u10836)), _u10833)) )).
% 20.36/20.62 cnf(matrix-5375, plain, ( ~c_Equiv__Relations_Oequiv(_u10837, _u10838, _u10839) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10837, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10837, _u10837, _u10839), hAPP(hAPP(c_Set_Oinsert(_u10837), _u10840), c_Orderings_Obot__class_Obot(tc_fun(_u10837, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u10837, _u10837, _u10839), hAPP(hAPP(c_Set_Oinsert(_u10837), _u10841), c_Orderings_Obot__class_Obot(tc_fun(_u10837, tc_HOL_Obool)))))) | ~hBOOL(hAPP(hAPP(c_member(_u10837), _u10840), _u10838)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10837, _u10837)), hAPP(hAPP(c_Product__Type_OPair(_u10837, _u10837), _u10841), _u10840)), _u10839)) )).
% 20.36/20.62 cnf(matrix-5376, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10843, tc_HOL_Obool)), _u10844), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10843), _u10845), _u10846))) | ( _u10844 = hAPP(c_Relation_OImage(_u10843, _u10843, _u10846), hAPP(hAPP(c_Set_Oinsert(_u10843), skolem244(_u10846, _u10845, _u10844, _u10843)), c_Orderings_Obot__class_Obot(tc_fun(_u10843, tc_HOL_Obool))))) )).
% 20.36/20.62 cnf(matrix-5377, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10843, tc_HOL_Obool)), _u10844), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10843), _u10845), _u10846))) | hBOOL(hAPP(hAPP(c_member(_u10843), skolem244(_u10846, _u10845, _u10844, _u10843)), _u10845)) )).
% 20.36/20.62 cnf(matrix-5378, 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) )).
% 20.36/20.62 cnf(matrix-5379, plain, ( ~c_Equiv__Relations_Oequiv(_u10847, _u10848, _u10849) | ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10847, tc_HOL_Obool), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10847), _u10848), _u10849)) = _u10848) )).
% 20.36/20.62 cnf(matrix-5380, plain, ( ~c_Equiv__Relations_Oequiv(_u10850, _u10851, _u10852) | ~hBOOL(hAPP(hAPP(c_member(_u10850), _u10853), _u10851)) | hBOOL(hAPP(hAPP(c_member(_u10850), _u10853), hAPP(c_Relation_OImage(_u10850, _u10850, _u10852), hAPP(hAPP(c_Set_Oinsert(_u10850), _u10853), c_Orderings_Obot__class_Obot(tc_fun(_u10850, tc_HOL_Obool)))))) )).
% 20.36/20.62 cnf(matrix-5381, plain, ( ~c_Equiv__Relations_Oequiv(_u10854, _u10855, _u10856) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10854, tc_HOL_Obool)), _u10857), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10854), _u10855), _u10856))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10854, tc_HOL_Obool)), _u10858), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10854), _u10855), _u10856))) | ( _u10857 = _u10858) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10854, tc_HOL_Obool)), _u10857), _u10858) = c_Orderings_Obot__class_Obot(tc_fun(_u10854, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5382, plain, ( ~c_Equiv__Relations_Oequiv(_u10859, _u10860, _u10861) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10859, _u10859)), hAPP(hAPP(c_Product__Type_OPair(_u10859, _u10859), _u10862), _u10863)), _u10861)) | ( hAPP(c_Relation_OImage(_u10859, _u10859, _u10861), hAPP(hAPP(c_Set_Oinsert(_u10859), _u10862), c_Orderings_Obot__class_Obot(tc_fun(_u10859, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u10859, _u10859, _u10861), hAPP(hAPP(c_Set_Oinsert(_u10859), _u10863), c_Orderings_Obot__class_Obot(tc_fun(_u10859, tc_HOL_Obool))))) )).
% 20.36/20.62 cnf(matrix-5383, plain, ( ~c_Equiv__Relations_Oequiv(_u10864, _u10865, _u10866) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10864, tc_HOL_Obool)), _u10867), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10864), _u10865), _u10866))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10864, tc_HOL_Obool)), _u10868), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10864), _u10865), _u10866))) | ~hBOOL(hAPP(hAPP(c_member(_u10864), _u10869), _u10867)) | ~hBOOL(hAPP(hAPP(c_member(_u10864), _u10870), _u10868)) | ( _u10867 != _u10868) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10864, _u10864)), hAPP(hAPP(c_Product__Type_OPair(_u10864, _u10864), _u10869), _u10870)), _u10866)) )).
% 20.36/20.62 cnf(matrix-5384, plain, ( ~c_Equiv__Relations_Oequiv(_u10864, _u10865, _u10866) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10864, tc_HOL_Obool)), _u10867), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10864), _u10865), _u10866))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10864, tc_HOL_Obool)), _u10868), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10864), _u10865), _u10866))) | ~hBOOL(hAPP(hAPP(c_member(_u10864), _u10869), _u10867)) | ~hBOOL(hAPP(hAPP(c_member(_u10864), _u10870), _u10868)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10864, _u10864)), hAPP(hAPP(c_Product__Type_OPair(_u10864, _u10864), _u10869), _u10870)), _u10866)) | ( _u10867 = _u10868) )).
% 20.36/20.62 cnf(matrix-5385, plain, ( ~c_Equiv__Relations_Oequiv(_u10871, _u10872, _u10873) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10871, tc_HOL_Obool)), _u10874), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10871), _u10872), _u10873))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10871, tc_HOL_Obool)), _u10875), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10871), _u10872), _u10873))) | ~hBOOL(hAPP(hAPP(c_member(_u10871), _u10876), _u10874)) | ~hBOOL(hAPP(hAPP(c_member(_u10871), _u10877), _u10875)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10871, _u10871)), hAPP(hAPP(c_Product__Type_OPair(_u10871, _u10871), _u10876), _u10877)), _u10873)) | ( _u10874 = _u10875) )).
% 20.36/20.62 cnf(matrix-5386, plain, ( ~c_Equiv__Relations_Oequiv(_u10878, _u10879, _u10880) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10878, _u10878)), hAPP(hAPP(c_Product__Type_OPair(_u10878, _u10878), _u10881), _u10882)), _u10880)) | ( hAPP(c_Relation_OImage(_u10878, _u10878, _u10880), hAPP(hAPP(c_Set_Oinsert(_u10878), _u10881), c_Orderings_Obot__class_Obot(tc_fun(_u10878, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u10878, _u10878, _u10880), hAPP(hAPP(c_Set_Oinsert(_u10878), _u10882), c_Orderings_Obot__class_Obot(tc_fun(_u10878, tc_HOL_Obool))))) )).
% 20.36/20.62 cnf(matrix-5387, plain, ( ~c_Equiv__Relations_Oequiv(_u10878, _u10879, _u10880) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10878, _u10878)), hAPP(hAPP(c_Product__Type_OPair(_u10878, _u10878), _u10881), _u10882)), _u10880)) | hBOOL(hAPP(hAPP(c_member(_u10878), _u10881), _u10879)) )).
% 20.36/20.62 cnf(matrix-5388, plain, ( ~c_Equiv__Relations_Oequiv(_u10878, _u10879, _u10880) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10878, _u10878)), hAPP(hAPP(c_Product__Type_OPair(_u10878, _u10878), _u10881), _u10882)), _u10880)) | hBOOL(hAPP(hAPP(c_member(_u10878), _u10882), _u10879)) )).
% 20.36/20.62 cnf(matrix-5389, plain, ( ~c_Equiv__Relations_Oequiv(_u10878, _u10879, _u10880) | ( hAPP(c_Relation_OImage(_u10878, _u10878, _u10880), hAPP(hAPP(c_Set_Oinsert(_u10878), _u10881), c_Orderings_Obot__class_Obot(tc_fun(_u10878, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u10878, _u10878, _u10880), hAPP(hAPP(c_Set_Oinsert(_u10878), _u10882), c_Orderings_Obot__class_Obot(tc_fun(_u10878, tc_HOL_Obool))))) | ~hBOOL(hAPP(hAPP(c_member(_u10878), _u10881), _u10879)) | ~hBOOL(hAPP(hAPP(c_member(_u10878), _u10882), _u10879)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10878, _u10878)), hAPP(hAPP(c_Product__Type_OPair(_u10878, _u10878), _u10881), _u10882)), _u10880)) )).
% 20.36/20.62 cnf(matrix-5390, plain, ( ~c_Equiv__Relations_Oequiv(_u10883, _u10884, _u10885) | ~hBOOL(hAPP(hAPP(c_member(_u10883), _u10886), _u10884)) | ~hBOOL(hAPP(hAPP(c_member(_u10883), _u10887), _u10884)) | ( hAPP(c_Relation_OImage(_u10883, _u10883, _u10885), hAPP(hAPP(c_Set_Oinsert(_u10883), _u10886), c_Orderings_Obot__class_Obot(tc_fun(_u10883, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u10883, _u10883, _u10885), hAPP(hAPP(c_Set_Oinsert(_u10883), _u10887), c_Orderings_Obot__class_Obot(tc_fun(_u10883, tc_HOL_Obool))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10883, _u10883)), hAPP(hAPP(c_Product__Type_OPair(_u10883, _u10883), _u10886), _u10887)), _u10885)) )).
% 20.36/20.62 cnf(matrix-5391, plain, ( ~c_Equiv__Relations_Oequiv(_u10883, _u10884, _u10885) | ~hBOOL(hAPP(hAPP(c_member(_u10883), _u10886), _u10884)) | ~hBOOL(hAPP(hAPP(c_member(_u10883), _u10887), _u10884)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10883, _u10883)), hAPP(hAPP(c_Product__Type_OPair(_u10883, _u10883), _u10886), _u10887)), _u10885)) | ( hAPP(c_Relation_OImage(_u10883, _u10883, _u10885), hAPP(hAPP(c_Set_Oinsert(_u10883), _u10886), c_Orderings_Obot__class_Obot(tc_fun(_u10883, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u10883, _u10883, _u10885), hAPP(hAPP(c_Set_Oinsert(_u10883), _u10887), c_Orderings_Obot__class_Obot(tc_fun(_u10883, tc_HOL_Obool))))) )).
% 20.36/20.62 cnf(matrix-5392, plain, ( ( hAPP(c_Relation_OImage(_u10888, _u10888, _u10889), hAPP(hAPP(c_Set_Oinsert(_u10888), _u10890), c_Orderings_Obot__class_Obot(tc_fun(_u10888, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u10888, _u10888, _u10889), hAPP(hAPP(c_Set_Oinsert(_u10888), _u10891), c_Orderings_Obot__class_Obot(tc_fun(_u10888, tc_HOL_Obool))))) | ~c_Equiv__Relations_Oequiv(_u10888, _u10892, _u10889) | ~hBOOL(hAPP(hAPP(c_member(_u10888), _u10891), _u10892)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10888, _u10888)), hAPP(hAPP(c_Product__Type_OPair(_u10888, _u10888), _u10890), _u10891)), _u10889)) )).
% 20.36/20.62 cnf(matrix-5393, plain, ( ~c_Equiv__Relations_Oequiv(_u10893, _u10894, _u10895) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10893, _u10893)), hAPP(hAPP(c_Product__Type_OPair(_u10893, _u10893), _u10896), _u10897)), _u10895)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10893, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10893, _u10893, _u10895), hAPP(hAPP(c_Set_Oinsert(_u10893), _u10896), c_Orderings_Obot__class_Obot(tc_fun(_u10893, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u10893, _u10893, _u10895), hAPP(hAPP(c_Set_Oinsert(_u10893), _u10897), c_Orderings_Obot__class_Obot(tc_fun(_u10893, tc_HOL_Obool)))))) )).
% 20.36/20.62 cnf(matrix-5394, plain, ( ~c_Equiv__Relations_Oequiv(_u10898, _u10899, _u10900) | ~hBOOL(hAPP(hAPP(c_member(_u10898), _u10901), _u10899)) | ~hBOOL(hAPP(hAPP(c_member(_u10898), _u10902), _u10899)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10898), hAPP(hAPP(c_Set_Oinsert(_u10898), _u10901), c_Orderings_Obot__class_Obot(tc_fun(_u10898, tc_HOL_Obool)))), _u10900) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10898), hAPP(hAPP(c_Set_Oinsert(_u10898), _u10902), c_Orderings_Obot__class_Obot(tc_fun(_u10898, tc_HOL_Obool)))), _u10900)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10898, _u10898)), hAPP(hAPP(c_Product__Type_OPair(_u10898, _u10898), _u10901), _u10902)), _u10900)) )).
% 20.36/20.62 cnf(matrix-5395, plain, ( ~c_Equiv__Relations_Oequiv(_u10898, _u10899, _u10900) | ~hBOOL(hAPP(hAPP(c_member(_u10898), _u10901), _u10899)) | ~hBOOL(hAPP(hAPP(c_member(_u10898), _u10902), _u10899)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10898, _u10898)), hAPP(hAPP(c_Product__Type_OPair(_u10898, _u10898), _u10901), _u10902)), _u10900)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10898), hAPP(hAPP(c_Set_Oinsert(_u10898), _u10901), c_Orderings_Obot__class_Obot(tc_fun(_u10898, tc_HOL_Obool)))), _u10900) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10898), hAPP(hAPP(c_Set_Oinsert(_u10898), _u10902), c_Orderings_Obot__class_Obot(tc_fun(_u10898, tc_HOL_Obool)))), _u10900)) )).
% 20.36/20.62 cnf(matrix-5396, plain, ( ~c_Equiv__Relations_Oequiv(_u10903, _u10904, _u10905) | ~c_Equiv__Relations_Oequiv(_u10906, _u10907, _u10908) | ~c_Equiv__Relations_Ocongruent2(_u10903, _u10906, tc_fun(_u10909, tc_HOL_Obool), _u10905, _u10908, _u10910) | ~hBOOL(hAPP(hAPP(c_member(_u10903), _u10911), _u10904)) | ~hBOOL(hAPP(hAPP(c_member(_u10906), _u10912), _u10907)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10903, tc_fun(_u10909, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10903, _u10903, _u10905), hAPP(hAPP(c_Set_Oinsert(_u10903), _u10911), c_Orderings_Obot__class_Obot(tc_fun(_u10903, tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(_u10906, tc_fun(_u10909, tc_HOL_Obool)), tc_fun(_u10909, tc_HOL_Obool), _u10903), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10906, tc_fun(_u10909, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10906, _u10906, _u10908), hAPP(hAPP(c_Set_Oinsert(_u10906), _u10912), c_Orderings_Obot__class_Obot(tc_fun(_u10906, tc_HOL_Obool)))))), _u10910)) = hAPP(hAPP(_u10910, _u10911), _u10912)) )).
% 20.36/20.62 cnf(matrix-5397, plain, ( ~c_Equiv__Relations_Oequiv(_u10913, _u10914, _u10915) | ~c_Equiv__Relations_Ocongruent(_u10913, tc_fun(_u10916, tc_HOL_Obool), _u10915, _u10917) | ~hBOOL(hAPP(hAPP(c_member(_u10913), _u10918), _u10914)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10913, tc_fun(_u10916, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10913, _u10913, _u10915), hAPP(hAPP(c_Set_Oinsert(_u10913), _u10918), c_Orderings_Obot__class_Obot(tc_fun(_u10913, tc_HOL_Obool))))), _u10917) = hAPP(_u10917, _u10918)) )).
% 20.36/20.62 cnf(matrix-5398, plain, ( ~c_Equiv__Relations_Oequiv(_u10921, c_Orderings_Otop__class_Otop(tc_fun(_u10921, tc_HOL_Obool)), _u10923) | c_Equiv__Relations_Oequivp(_u10921, hAPP(hAPP(c_COMBC(_u10921, tc_fun(tc_prod(_u10921, _u10921), tc_HOL_Obool), tc_fun(_u10921, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10921, tc_fun(tc_fun(tc_prod(_u10921, _u10921), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10921, _u10921), tc_HOL_Obool), tc_fun(_u10921, tc_HOL_Obool)), _u10921), c_COMBC(_u10921, tc_fun(tc_prod(_u10921, _u10921), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10921, tc_prod(_u10921, _u10921)), tc_fun(_u10921, tc_fun(tc_fun(tc_prod(_u10921, _u10921), tc_HOL_Obool), tc_HOL_Obool)), _u10921), hAPP(c_COMBB(tc_prod(_u10921, _u10921), tc_fun(tc_fun(tc_prod(_u10921, _u10921), tc_HOL_Obool), tc_HOL_Obool), _u10921), c_member(tc_prod(_u10921, _u10921)))), c_Product__Type_OPair(_u10921, _u10921)))), _u10923)) )).
% 20.36/20.62 cnf(matrix-5399, plain, ( ~c_Equiv__Relations_Oequivp(_u10922, hAPP(hAPP(c_COMBC(_u10922, tc_fun(tc_prod(_u10922, _u10922), tc_HOL_Obool), tc_fun(_u10922, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10922, tc_fun(tc_fun(tc_prod(_u10922, _u10922), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10922, _u10922), tc_HOL_Obool), tc_fun(_u10922, tc_HOL_Obool)), _u10922), c_COMBC(_u10922, tc_fun(tc_prod(_u10922, _u10922), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10922, tc_prod(_u10922, _u10922)), tc_fun(_u10922, tc_fun(tc_fun(tc_prod(_u10922, _u10922), tc_HOL_Obool), tc_HOL_Obool)), _u10922), hAPP(c_COMBB(tc_prod(_u10922, _u10922), tc_fun(tc_fun(tc_prod(_u10922, _u10922), tc_HOL_Obool), tc_HOL_Obool), _u10922), c_member(tc_prod(_u10922, _u10922)))), c_Product__Type_OPair(_u10922, _u10922)))), _u10924)) | c_Equiv__Relations_Oequiv(_u10922, c_Orderings_Otop__class_Otop(tc_fun(_u10922, tc_HOL_Obool)), _u10924) )).
% 20.36/20.62 cnf(matrix-5400, plain, ( ~hBOOL(hAPP(hAPP(_u10926, _u10927), _u10928)) | ~hBOOL(hAPP(hAPP(_u10926, _u10928), _u10929)) | hBOOL(hAPP(hAPP(_u10926, _u10927), _u10929)) | ~c_Equiv__Relations_Oequivp(_u10925, _u10926) )).
% 20.36/20.62 cnf(matrix-5401, plain, ( ~hBOOL(hAPP(hAPP(_u10931, _u10932), _u10933)) | hBOOL(hAPP(hAPP(_u10931, _u10933), _u10932)) | ~c_Equiv__Relations_Oequivp(_u10930, _u10931) )).
% 20.36/20.62 cnf(matrix-5402, plain, ( hBOOL(hAPP(hAPP(_u10935, _u10936), _u10936)) | ~c_Equiv__Relations_Oequivp(_u10934, _u10935) )).
% 20.36/20.62 cnf(matrix-5403, plain, ( ~c_Equiv__Relations_Oequivp(_u10951, _u10953) | ~hBOOL(hAPP(hAPP(_u10953, _u10945), _u10943)) | ( hAPP(_u10953, _u10945) = hAPP(_u10953, _u10943)) )).
% 20.36/20.62 cnf(matrix-5404, plain, ( ~c_Equiv__Relations_Oequivp(_u10951, _u10953) | ( hAPP(_u10953, _u10946) != hAPP(_u10953, _u10944)) | hBOOL(hAPP(hAPP(_u10953, _u10946), _u10944)) )).
% 20.36/20.62 cnf(matrix-5405, plain, ( c_Equiv__Relations_Oequivp(_u10952, _u10954) | hBOOL(hAPP(hAPP(_u10954, skolem245(_u10954)), skolem246(_u10954))) | ( hAPP(_u10954, skolem247(_u10954)) = hAPP(_u10954, skolem248(_u10954))) )).
% 20.36/20.62 cnf(matrix-5406, plain, ( c_Equiv__Relations_Oequivp(_u10952, _u10954) | hBOOL(hAPP(hAPP(_u10954, skolem245(_u10954)), skolem246(_u10954))) | ~hBOOL(hAPP(hAPP(_u10954, skolem247(_u10954)), skolem248(_u10954))) )).
% 20.36/20.62 cnf(matrix-5407, plain, ( c_Equiv__Relations_Oequivp(_u10952, _u10954) | ( hAPP(_u10954, skolem245(_u10954)) != hAPP(_u10954, skolem246(_u10954))) | ( hAPP(_u10954, skolem247(_u10954)) = hAPP(_u10954, skolem248(_u10954))) )).
% 20.36/20.62 cnf(matrix-5408, plain, ( c_Equiv__Relations_Oequivp(_u10952, _u10954) | ( hAPP(_u10954, skolem245(_u10954)) != hAPP(_u10954, skolem246(_u10954))) | ~hBOOL(hAPP(hAPP(_u10954, skolem247(_u10954)), skolem248(_u10954))) )).
% 20.36/20.62 cnf(matrix-5409, plain, ( c_Equiv__Relations_Oequivp(_u10955, c_fequal) )).
% 20.36/20.62 cnf(matrix-5410, plain, ( ~c_Equiv__Relations_Oequiv(_u10956, _u10957, _u10958) | ~c_Equiv__Relations_Ocongruent2(_u10956, _u10959, _u10960, _u10958, _u10961, _u10962) | ~hBOOL(hAPP(hAPP(c_member(_u10956), _u10963), _u10957)) | c_Equiv__Relations_Ocongruent(_u10959, _u10960, _u10961, hAPP(_u10962, _u10963)) )).
% 20.36/20.62 cnf(matrix-5411, plain, ( ~c_Equiv__Relations_Ocongruent2(_u10964, _u10965, _u10966, _u10967, _u10968, _u10969) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10964, _u10964)), hAPP(hAPP(c_Product__Type_OPair(_u10964, _u10964), _u10970), _u10971)), _u10967)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10965, _u10965)), hAPP(hAPP(c_Product__Type_OPair(_u10965, _u10965), _u10972), _u10973)), _u10968)) | ( hAPP(hAPP(_u10969, _u10970), _u10972) = hAPP(hAPP(_u10969, _u10971), _u10973)) )).
% 20.36/20.62 cnf(matrix-5412, plain, ( ~c_Equiv__Relations_Ocongruent(_u10974, _u10975, _u10976, _u10977) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10974, _u10974)), hAPP(hAPP(c_Product__Type_OPair(_u10974, _u10974), _u10978), _u10979)), _u10976)) | ( hAPP(_u10977, _u10978) = hAPP(_u10977, _u10979)) )).
% 20.36/20.62 cnf(matrix-5413, plain, ( ~c_Equiv__Relations_Oequiv(_u10980, _u10981, _u10982) | ~c_Equiv__Relations_Oequiv(_u10983, _u10984, _u10985) | ~c_Equiv__Relations_Ocongruent2(_u10980, _u10983, tc_fun(_u10986, tc_HOL_Obool), _u10982, _u10985, _u10987) | ~hBOOL(hAPP(hAPP(c_member(_u10983), _u10988), _u10984)) | c_Equiv__Relations_Ocongruent(_u10980, tc_fun(_u10986, tc_HOL_Obool), _u10982, hAPP(hAPP(c_COMBB(tc_fun(_u10983, tc_fun(_u10986, tc_HOL_Obool)), tc_fun(_u10986, tc_HOL_Obool), _u10980), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10983, tc_fun(_u10986, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10983, _u10983, _u10985), hAPP(hAPP(c_Set_Oinsert(_u10983), _u10988), c_Orderings_Obot__class_Obot(tc_fun(_u10983, tc_HOL_Obool)))))), _u10987)) )).
% 20.36/20.62 cnf(matrix-5414, plain, ( ~c_Equiv__Relations_Oequiv(_u10991, _u10992, _u10993) | ~c_Equiv__Relations_Ocongruent(_u10991, tc_fun(_u10994, tc_HOL_Obool), _u10993, _u10995) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10991, tc_fun(_u10994, tc_HOL_Obool)), _u10996), _u10995) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10991, tc_fun(_u10994, tc_HOL_Obool)), _u10997), _u10995)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10991, tc_HOL_Obool)), _u10996), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10991), _u10992), _u10993))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10991, tc_HOL_Obool)), _u10997), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10991), _u10992), _u10993))) | ( _u10996 = _u10997) | hBOOL(hAPP(hAPP(c_member(_u10991), skolem249(_u10997, _u10996, _u10995, _u10994, _u10993, _u10992, _u10991)), _u10992)) )).
% 20.36/20.62 cnf(matrix-5415, plain, ( ~c_Equiv__Relations_Oequiv(_u10991, _u10992, _u10993) | ~c_Equiv__Relations_Ocongruent(_u10991, tc_fun(_u10994, tc_HOL_Obool), _u10993, _u10995) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10991, tc_fun(_u10994, tc_HOL_Obool)), _u10996), _u10995) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10991, tc_fun(_u10994, tc_HOL_Obool)), _u10997), _u10995)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10991, tc_HOL_Obool)), _u10996), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10991), _u10992), _u10993))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10991, tc_HOL_Obool)), _u10997), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10991), _u10992), _u10993))) | ( _u10996 = _u10997) | hBOOL(hAPP(hAPP(c_member(_u10991), skolem250(_u10997, _u10996, _u10995, _u10994, _u10993, _u10992, _u10991)), _u10992)) )).
% 20.36/20.62 cnf(matrix-5416, plain, ( ~c_Equiv__Relations_Oequiv(_u10991, _u10992, _u10993) | ~c_Equiv__Relations_Ocongruent(_u10991, tc_fun(_u10994, tc_HOL_Obool), _u10993, _u10995) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10991, tc_fun(_u10994, tc_HOL_Obool)), _u10996), _u10995) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10991, tc_fun(_u10994, tc_HOL_Obool)), _u10997), _u10995)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10991, tc_HOL_Obool)), _u10996), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10991), _u10992), _u10993))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10991, tc_HOL_Obool)), _u10997), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10991), _u10992), _u10993))) | ( _u10996 = _u10997) | ( hAPP(_u10995, skolem249(_u10997, _u10996, _u10995, _u10994, _u10993, _u10992, _u10991)) = hAPP(_u10995, skolem250(_u10997, _u10996, _u10995, _u10994, _u10993, _u10992, _u10991))) )).
% 20.36/20.62 cnf(matrix-5417, plain, ( ~c_Equiv__Relations_Oequiv(_u10991, _u10992, _u10993) | ~c_Equiv__Relations_Ocongruent(_u10991, tc_fun(_u10994, tc_HOL_Obool), _u10993, _u10995) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10991, tc_fun(_u10994, tc_HOL_Obool)), _u10996), _u10995) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10991, tc_fun(_u10994, tc_HOL_Obool)), _u10997), _u10995)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10991, tc_HOL_Obool)), _u10996), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10991), _u10992), _u10993))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10991, tc_HOL_Obool)), _u10997), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10991), _u10992), _u10993))) | ( _u10996 = _u10997) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10991, _u10991)), hAPP(hAPP(c_Product__Type_OPair(_u10991, _u10991), skolem249(_u10997, _u10996, _u10995, _u10994, _u10993, _u10992, _u10991)), skolem250(_u10997, _u10996, _u10995, _u10994, _u10993, _u10992, _u10991))), _u10993)) )).
% 20.36/20.62 cnf(matrix-5418, plain, ( ~c_Equiv__Relations_Oequiv(_u11000, _u11001, _u11002) | ~c_Equiv__Relations_Oequiv(_u11003, _u11004, _u11005) | ~c_Equiv__Relations_Ocongruent2(_u11000, _u11003, tc_fun(_u11006, tc_HOL_Obool), _u11002, _u11005, _u11007) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11000, tc_HOL_Obool)), _u11008), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11000), _u11001), _u11002))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11003, tc_HOL_Obool)), _u11009), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11003), _u11004), _u11005))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11006, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11000, tc_fun(_u11006, tc_HOL_Obool)), _u11008), hAPP(hAPP(c_COMBB(tc_fun(_u11003, tc_fun(_u11006, tc_HOL_Obool)), tc_fun(_u11006, tc_HOL_Obool), _u11000), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11003, tc_fun(_u11006, tc_HOL_Obool)), _u11009)), _u11007))), _u11010)) | hBOOL(hAPP(hAPP(c_member(_u11000), skolem251(_u11010, _u11009, _u11008, _u11007, _u11006, _u11005, _u11004, _u11003, _u11002, _u11001, _u11000)), _u11001)) )).
% 20.36/20.62 cnf(matrix-5419, plain, ( ~c_Equiv__Relations_Oequiv(_u11000, _u11001, _u11002) | ~c_Equiv__Relations_Oequiv(_u11003, _u11004, _u11005) | ~c_Equiv__Relations_Ocongruent2(_u11000, _u11003, tc_fun(_u11006, tc_HOL_Obool), _u11002, _u11005, _u11007) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11000, tc_HOL_Obool)), _u11008), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11000), _u11001), _u11002))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11003, tc_HOL_Obool)), _u11009), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11003), _u11004), _u11005))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11006, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11000, tc_fun(_u11006, tc_HOL_Obool)), _u11008), hAPP(hAPP(c_COMBB(tc_fun(_u11003, tc_fun(_u11006, tc_HOL_Obool)), tc_fun(_u11006, tc_HOL_Obool), _u11000), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11003, tc_fun(_u11006, tc_HOL_Obool)), _u11009)), _u11007))), _u11010)) | hBOOL(hAPP(hAPP(c_member(_u11003), skolem252(_u11010, _u11009, _u11008, _u11007, _u11006, _u11005, _u11004, _u11003, _u11002, _u11001, _u11000)), _u11004)) )).
% 20.36/20.62 cnf(matrix-5420, plain, ( ~c_Equiv__Relations_Oequiv(_u11000, _u11001, _u11002) | ~c_Equiv__Relations_Oequiv(_u11003, _u11004, _u11005) | ~c_Equiv__Relations_Ocongruent2(_u11000, _u11003, tc_fun(_u11006, tc_HOL_Obool), _u11002, _u11005, _u11007) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11000, tc_HOL_Obool)), _u11008), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11000), _u11001), _u11002))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11003, tc_HOL_Obool)), _u11009), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11003), _u11004), _u11005))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11006, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11000, tc_fun(_u11006, tc_HOL_Obool)), _u11008), hAPP(hAPP(c_COMBB(tc_fun(_u11003, tc_fun(_u11006, tc_HOL_Obool)), tc_fun(_u11006, tc_HOL_Obool), _u11000), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11003, tc_fun(_u11006, tc_HOL_Obool)), _u11009)), _u11007))), _u11010)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11006, tc_HOL_Obool)), hAPP(hAPP(_u11007, skolem251(_u11010, _u11009, _u11008, _u11007, _u11006, _u11005, _u11004, _u11003, _u11002, _u11001, _u11000)), skolem252(_u11010, _u11009, _u11008, _u11007, _u11006, _u11005, _u11004, _u11003, _u11002, _u11001, _u11000))), _u11010)) )).
% 20.36/20.62 cnf(matrix-5421, plain, ( ~c_Equiv__Relations_Oequiv(_u11012, _u11013, _u11014) | ~c_Equiv__Relations_Ocongruent(_u11012, tc_fun(_u11015, tc_HOL_Obool), _u11014, _u11016) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11012, tc_HOL_Obool)), _u11017), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11012), _u11013), _u11014))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11015, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11012, tc_fun(_u11015, tc_HOL_Obool)), _u11017), _u11016)), _u11018)) | hBOOL(hAPP(hAPP(c_member(_u11012), skolem253(_u11018, _u11017, _u11016, _u11015, _u11014, _u11013, _u11012)), _u11013)) )).
% 20.36/20.62 cnf(matrix-5422, plain, ( ~c_Equiv__Relations_Oequiv(_u11012, _u11013, _u11014) | ~c_Equiv__Relations_Ocongruent(_u11012, tc_fun(_u11015, tc_HOL_Obool), _u11014, _u11016) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11012, tc_HOL_Obool)), _u11017), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11012), _u11013), _u11014))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11015, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11012, tc_fun(_u11015, tc_HOL_Obool)), _u11017), _u11016)), _u11018)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11015, tc_HOL_Obool)), hAPP(_u11016, skolem253(_u11018, _u11017, _u11016, _u11015, _u11014, _u11013, _u11012))), _u11018)) )).
% 20.36/20.62 cnf(matrix-5423, 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)) )).
% 20.36/20.62 cnf(matrix-5424, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11019), _u11020)) | ~c_Fun_Oinj__on(_u11019, tc_fun(tc_fun(_u11019, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u11019, tc_fun(tc_prod(_u11019, _u11019), tc_HOL_Obool), tc_fun(tc_fun(_u11019, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11019, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u11019, _u11019), tc_HOL_Obool), tc_fun(tc_fun(_u11019, tc_HOL_Obool), tc_HOL_Obool)), _u11019), c_Equiv__Relations_Oquotient(_u11019)), hAPP(hAPP(c_COMBC(_u11019, tc_fun(_u11019, tc_HOL_Obool), tc_fun(_u11019, tc_HOL_Obool)), c_Set_Oinsert(_u11019)), c_Orderings_Obot__class_Obot(tc_fun(_u11019, tc_HOL_Obool))))), _u11021), _u11020) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u11019, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11019), _u11020), _u11021)) = hAPP(c_Finite__Set_Ocard(_u11019), _u11020)) )).
% 20.36/20.62 cnf(matrix-5425, plain, ( ~class_Fields_Ofield(_u11022) | ( _u11023 = c_Groups_Oone__class_Oone(_u11022)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11022), hAPP(c_Power_Opower__class_Opower(_u11022), _u11023)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11024)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11022), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11022), hAPP(hAPP(c_Power_Opower__class_Opower(_u11022), _u11023), _u11024)), c_Groups_Oone__class_Oone(_u11022))), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11022), _u11023), c_Groups_Oone__class_Oone(_u11022)))) )).
% 20.36/20.62 cnf(matrix-5426, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11025), _u11026))) )).
% 20.36/20.62 cnf(matrix-5427, plain, ( ~class_Orderings_Olinorder(_u11027) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11027), _u11028), _u11029)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11027), _u11030), _u11031)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11027, _u11028), _u11029) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11027, _u11030), _u11031)) | ( _u11028 = _u11030) )).
% 20.36/20.62 cnf(matrix-5428, plain, ( ~class_Orderings_Olinorder(_u11027) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11027), _u11028), _u11029)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11027), _u11030), _u11031)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11027, _u11028), _u11029) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11027, _u11030), _u11031)) | ( _u11029 = _u11031) )).
% 20.36/20.62 cnf(matrix-5429, plain, ( ~class_Orderings_Olinorder(_u11027) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11027), _u11028), _u11029)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11027), _u11030), _u11031)) | ( _u11028 != _u11030) | ( _u11029 != _u11031) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11027, _u11028), _u11029) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11027, _u11030), _u11031)) )).
% 20.36/20.62 cnf(matrix-5430, plain, ( ~class_Orderings_Olinorder(_u11032) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11032, _u11033), _u11034) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11032, _u11035), _u11036)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11032), _u11033), _u11034)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11032), _u11035), _u11036)) | ( _u11033 = _u11035) )).
% 20.36/20.62 cnf(matrix-5431, plain, ( ~class_Orderings_Olinorder(_u11037) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11037, _u11038), _u11039) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11037, _u11040), _u11041)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11037), _u11038), _u11039)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11037), _u11040), _u11041)) | ( _u11039 = _u11041) )).
% 20.36/20.62 cnf(matrix-5432, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11042), _u11048)) | ~hBOOL(hAPP(_u11050, _u11042)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem254(_u11050, _u11048)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11048))) )).
% 20.36/20.62 cnf(matrix-5433, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11042), _u11048)) | ~hBOOL(hAPP(_u11050, _u11042)) | hBOOL(hAPP(_u11050, skolem254(_u11050, _u11048))) )).
% 20.36/20.62 cnf(matrix-5434, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u11044), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11049))) | ~hBOOL(hAPP(_u11051, _u11044)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem255(_u11051, _u11049)), _u11049)) )).
% 20.36/20.62 cnf(matrix-5435, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u11044), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11049))) | ~hBOOL(hAPP(_u11051, _u11044)) | hBOOL(hAPP(_u11051, skolem255(_u11051, _u11049))) )).
% 20.36/20.62 cnf(matrix-5436, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u11053), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11058))) | hBOOL(hAPP(_u11060, _u11053)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem256(_u11060, _u11058)), _u11058)) )).
% 20.36/20.62 cnf(matrix-5437, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u11053), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11058))) | hBOOL(hAPP(_u11060, _u11053)) | ~hBOOL(hAPP(_u11060, skolem256(_u11060, _u11058))) )).
% 20.36/20.62 cnf(matrix-5438, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11055), _u11059)) | hBOOL(hAPP(_u11061, _u11055)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem257(_u11061, _u11059)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11059))) )).
% 20.36/20.62 cnf(matrix-5439, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11055), _u11059)) | hBOOL(hAPP(_u11061, _u11055)) | ~hBOOL(hAPP(_u11061, skolem257(_u11061, _u11059))) )).
% 20.36/20.62 cnf(matrix-5440, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11062), _u11063)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11062), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11063), _u11064)) = 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, _u11062), _u11063)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11063), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11063), _u11064)))) )).
% 20.36/20.62 cnf(matrix-5441, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11065), hAPP(c_Nat_OSuc, _u11066)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11065, _u11066)) )).
% 20.36/20.62 cnf(matrix-5442, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11067), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5443, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11068) = hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11068)) )).
% 20.36/20.62 cnf(matrix-5444, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u11069), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11070), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11070), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u11069))))) | ( _u11069 = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11070), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11070), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u11069)))) )).
% 20.36/20.62 cnf(matrix-5445, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11071), _u11072)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u11072), _u11071)) )).
% 20.36/20.62 cnf(matrix-5446, plain, ( ~class_Orderings_Oorder(_u11073) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11073), _u11074), _u11075)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11073, _u11075), _u11074) = c_Orderings_Obot__class_Obot(tc_fun(_u11073, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5447, plain, ( ~class_Orderings_Oorder(_u11076) | ( c_Orderings_Obot__class_Obot(tc_fun(_u11076, tc_HOL_Obool)) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11076, _u11077), _u11078)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11076), _u11077), _u11078)) )).
% 20.36/20.62 cnf(matrix-5448, plain, ( ~class_Orderings_Oorder(_u11076) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11076), _u11077), _u11078)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u11076, tc_HOL_Obool)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11076, _u11077), _u11078)) )).
% 20.36/20.62 cnf(matrix-5449, plain, ( ~class_Orderings_Oorder(_u11079) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11079, _u11080), _u11081) != c_Orderings_Obot__class_Obot(tc_fun(_u11079, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11079), _u11080), _u11081)) )).
% 20.36/20.62 cnf(matrix-5450, plain, ( ~class_Orderings_Oorder(_u11079) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11079), _u11080), _u11081)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11079, _u11080), _u11081) = c_Orderings_Obot__class_Obot(tc_fun(_u11079, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5451, plain, ( ~class_Orderings_Olinorder(_u11082) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11082, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11082, _u11083), _u11084)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11082, _u11085), _u11086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11082), _u11084), _u11083)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11082), _u11085), _u11083)) )).
% 20.36/20.62 cnf(matrix-5452, plain, ( ~class_Orderings_Olinorder(_u11082) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11082, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11082, _u11083), _u11084)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11082, _u11085), _u11086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11082), _u11084), _u11083)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11082), _u11084), _u11086)) )).
% 20.36/20.62 cnf(matrix-5453, plain, ( ~class_Groups_Ocomm__monoid__add(_u11087) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11087), _u11088), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u11089)), hAPP(c_Nat_OSuc, _u11090))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11087), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11087, tc_Nat_Onat), _u11088), c_Nat_OSuc)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11089), _u11090))) )).
% 20.36/20.62 cnf(matrix-5454, plain, ( ~class_Orderings_Olinorder(_u11091) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11091), _u11092), _u11093)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11091), _u11093), _u11094)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11091, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11091, _u11092), _u11093)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11091, _u11093), _u11094)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11091, _u11092), _u11094)) )).
% 20.36/20.62 cnf(matrix-5455, plain, ( ~class_Groups_Ocomm__monoid__add(_u11095) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11095), _u11096), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11097), _u11098)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11099), _u11098))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11095), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11095, tc_Nat_Onat), _u11096), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u11098))), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11097), _u11099))) )).
% 20.36/20.62 cnf(matrix-5456, plain, ( ~class_Orderings_Olinorder(_u11100) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11100), _u11101), _u11102)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11100, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11100, _u11101), _u11103)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11100, _u11101), _u11102)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11100, _u11102), _u11103)) )).
% 20.36/20.62 cnf(matrix-5457, plain, ( ~class_Orderings_Oorder(_u11104) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11104, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11104, _u11105), _u11106)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11104, _u11106), _u11107)) = c_Orderings_Obot__class_Obot(tc_fun(_u11104, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5458, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u11108)), _u11109) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u11108, _u11109)) )).
% 20.36/20.62 cnf(matrix-5459, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11110), _u11111)) | ~c_Fun_Oinj__on(_u11112, _u11110, _u11113, c_Orderings_Otop__class_Otop(tc_fun(_u11112, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11112), hAPP(c_Set_Ovimage(_u11112, _u11110, _u11113), _u11111))) )).
% 20.36/20.62 cnf(matrix-5460, plain, ( ~class_Groups_Ocomm__monoid__add(_u11114) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11115), _u11116)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11116), _u11117)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11114), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11114), _u11118), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11115), _u11116))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11114), _u11118), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11116), _u11117))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11114), _u11118), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11115), _u11117))) )).
% 20.36/20.62 cnf(matrix-5461, plain, ( ~class_Groups_Oab__group__add(_u11119) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11120), _u11121)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11121), _u11122)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11119), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11119), _u11123), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11120), _u11122))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11119), _u11123), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11120), _u11121))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11119), _u11123), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11121), _u11122))) )).
% 20.36/20.62 cnf(matrix-5462, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11124), hAPP(c_Nat_OSuc, _u11124)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u11124), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 20.36/20.62 cnf(matrix-5463, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), hAPP(c_Int_ORep__Integ, _u11125)), c_Int_OInteg)) )).
% 20.36/20.62 cnf(matrix-5464, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11126, 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(_u11126, tc_HOL_Obool)), tc_fun(_u11126, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_fun(_u11126, tc_HOL_Obool)), tc_fun(_u11126, tc_HOL_Obool)), tc_Nat_Onat), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11126, tc_HOL_Obool))), c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), _u11127)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11126, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11127)) )).
% 20.36/20.62 cnf(matrix-5465, plain, ( ~class_Orderings_Olinorder(_u11128) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11128), _u11129), _u11130)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11128), _u11130), _u11131)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11128, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11128, _u11129), _u11130)), c_SetInterval_Oord__class_OatLeastAtMost(_u11128, _u11130, _u11131)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11128, _u11129, _u11131)) )).
% 20.36/20.62 cnf(matrix-5466, plain, ( ~class_Orderings_Oorder(_u11132) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11132, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11132, _u11133), _u11134)), c_SetInterval_Oord__class_OatLeastAtMost(_u11132, _u11134, _u11135)) = c_Orderings_Obot__class_Obot(tc_fun(_u11132, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5467, plain, ( ~class_Orderings_Olinorder(_u11136) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11136, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11136, _u11137), _u11138)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11136, _u11139), _u11140)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11136, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11136), _u11137), _u11139)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11136), _u11138), _u11140))) )).
% 20.36/20.62 cnf(matrix-5468, plain, ( ~class_Orderings_Olinorder(_u11141) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11141), _u11142), _u11143)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11141, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11141), _u11142)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11141, _u11142), _u11143)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u11141), _u11143)) )).
% 20.36/20.62 cnf(matrix-5469, plain, ( ~class_Orderings_Oorder(_u11144) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11144, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11144), _u11145)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11144, _u11145), _u11146)) = c_Orderings_Obot__class_Obot(tc_fun(_u11144, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5470, plain, ( ~class_Orderings_Oorder(_u11147) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11147, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11147, _u11148, _u11149)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11147, _u11149), _u11150)) = c_Orderings_Obot__class_Obot(tc_fun(_u11147, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5471, plain, ( ~class_Groups_Ocomm__monoid__add(_u11151) | ( hAPP(_u11152, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Ozero__class_Ozero(_u11151)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11151), _u11152), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u11153)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11151), _u11152), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11153))) )).
% 20.36/20.62 cnf(matrix-5472, plain, ( ~class_Groups_Ocomm__monoid__add(_u11154) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11155), _u11156)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11154), _u11157), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11155), _u11156)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11154), hAPP(_u11157, _u11155)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11154), _u11157), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u11155)), _u11156)))) )).
% 20.36/20.62 cnf(matrix-5473, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11160), _u11162)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11160), hAPP(c_Nat_OSuc, _u11162)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u11162), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11160), _u11162))) )).
% 20.36/20.62 cnf(matrix-5474, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11161), _u11163)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11161), hAPP(c_Nat_OSuc, _u11163)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5475, plain, ( ~class_Groups_Ocomm__monoid__add(_u11164) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11165), _u11166)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11164), _u11167), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11166), hAPP(c_Nat_OSuc, _u11165))) = c_Groups_Ozero__class_Ozero(_u11164)) )).
% 20.36/20.62 cnf(matrix-5476, plain, ( ~class_Groups_Ocomm__monoid__add(_u11164) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11165), _u11166)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11164), _u11167), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11166), hAPP(c_Nat_OSuc, _u11165))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11164), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11164), _u11167), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11166), _u11165))), hAPP(_u11167, _u11165))) )).
% 20.36/20.62 cnf(matrix-5477, plain, ( ~class_Orderings_Olinorder(_u11168) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11168), _u11169), _u11170)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11168), _u11170), _u11171)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11168, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11168, _u11169, _u11170)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11168, _u11170), _u11171)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u11168, _u11169, _u11171)) )).
% 20.36/20.62 cnf(matrix-5478, plain, ( ~c_Fun_Oinj__on(_u11172, tc_fun(tc_fun(_u11172, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u11172, tc_fun(tc_prod(_u11172, _u11172), tc_HOL_Obool), tc_fun(tc_fun(_u11172, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11172, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u11172, _u11172), tc_HOL_Obool), tc_fun(tc_fun(_u11172, tc_HOL_Obool), tc_HOL_Obool)), _u11172), c_Equiv__Relations_Oquotient(_u11172)), hAPP(hAPP(c_COMBC(_u11172, tc_fun(_u11172, tc_HOL_Obool), tc_fun(_u11172, tc_HOL_Obool)), c_Set_Oinsert(_u11172)), c_Orderings_Obot__class_Obot(tc_fun(_u11172, tc_HOL_Obool))))), _u11173), _u11174) | ~hBOOL(hAPP(hAPP(c_member(_u11172), _u11175), _u11174)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11172), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11172, tc_HOL_Obool)), _u11174), hAPP(hAPP(c_Set_Oinsert(_u11172), _u11175), c_Orderings_Obot__class_Obot(tc_fun(_u11172, tc_HOL_Obool))))), _u11173) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(_u11172, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11172), _u11174), _u11173)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11172), hAPP(hAPP(c_Set_Oinsert(_u11172), _u11175), c_Orderings_Obot__class_Obot(tc_fun(_u11172, tc_HOL_Obool)))), _u11173))) )).
% 20.36/20.62 cnf(matrix-5479, plain, ( ~class_Orderings_Olinorder(_u11176) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11176), _u11177), _u11178)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11176, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11176, _u11177), _u11178)), hAPP(hAPP(c_Set_Oinsert(_u11176), _u11178), c_Orderings_Obot__class_Obot(tc_fun(_u11176, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OatLeastAtMost(_u11176, _u11177, _u11178)) )).
% 20.36/20.62 cnf(matrix-5480, plain, ( ~class_Orderings_Olinorder(_u11179) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11179), _u11180), _u11181)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11179, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u11179), _u11180), c_Orderings_Obot__class_Obot(tc_fun(_u11179, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11179, _u11180, _u11181)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11179, _u11180), _u11181)) )).
% 20.36/20.62 cnf(matrix-5481, plain, ( ~class_Orderings_Olinorder(_u11182) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11182), _u11183), _u11184)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11182), _u11184), _u11185)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11182, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11182, _u11183, _u11184)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11182, _u11184, _u11185)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11182, _u11183), _u11185)) )).
% 20.36/20.62 cnf(matrix-5482, plain, ( ~class_Groups_Oordered__ab__group__add(_u11186) | c_Fun_Oinj__on(_u11186, _u11186, c_Groups_Ouminus__class_Ouminus(_u11186), _u11187) )).
% 20.36/20.62 cnf(matrix-5483, plain, ( c_Fun_Oinj__on(_u11188, _u11189, _u11190, c_Orderings_Obot__class_Obot(tc_fun(_u11188, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5484, plain, ( c_Fun_Oinj__on(_u11191, tc_fun(_u11191, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u11191, tc_fun(_u11191, tc_HOL_Obool), tc_fun(_u11191, tc_HOL_Obool)), c_Set_Oinsert(_u11191)), c_Orderings_Obot__class_Obot(tc_fun(_u11191, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u11191, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5485, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u11192), _u11193))) )).
% 20.36/20.62 cnf(matrix-5486, 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)), _u11194), _u11195) )).
% 20.36/20.62 cnf(matrix-5487, plain, ( c_Fun_Oinj__on(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc, _u11196) )).
% 20.36/20.62 cnf(matrix-5488, plain, ( ~class_Nat_Osemiring__char__0(_u11197) | c_Fun_Oinj__on(tc_Nat_Onat, _u11197, c_Nat_Osemiring__1__class_Oof__nat(_u11197), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5489, 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))) )).
% 20.36/20.62 cnf(matrix-5490, plain, ( c_Fun_Oinj__on(tc_prod(_u11198, _u11199), tc_prod(_u11199, _u11198), hAPP(c_Product__Type_Oprod_Oprod__case(_u11198, _u11199, tc_prod(_u11199, _u11198)), hAPP(c_COMBC(_u11199, _u11198, tc_prod(_u11199, _u11198)), c_Product__Type_OPair(_u11199, _u11198))), _u11200) )).
% 20.36/20.62 cnf(matrix-5491, 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)), _u11201))) )).
% 20.36/20.62 cnf(matrix-5492, plain, ( ~c_Fun_Oinj__on(_u11210, _u11212, _u11214, _u11216) | ~hBOOL(hAPP(hAPP(c_member(_u11210), _u11203), _u11216)) | ~hBOOL(hAPP(hAPP(c_member(_u11210), _u11202), _u11216)) | ( hAPP(_u11214, _u11203) != hAPP(_u11214, _u11202)) | ( _u11203 = _u11202) )).
% 20.36/20.62 cnf(matrix-5493, plain, ( c_Fun_Oinj__on(_u11211, _u11213, _u11215, _u11217) | hBOOL(hAPP(hAPP(c_member(_u11211), skolem258(_u11217, _u11215, _u11213, _u11211)), _u11217)) )).
% 20.36/20.62 cnf(matrix-5494, plain, ( c_Fun_Oinj__on(_u11211, _u11213, _u11215, _u11217) | hBOOL(hAPP(hAPP(c_member(_u11211), skolem259(_u11217, _u11215, _u11213, _u11211)), _u11217)) )).
% 20.36/20.62 cnf(matrix-5495, plain, ( c_Fun_Oinj__on(_u11211, _u11213, _u11215, _u11217) | ( hAPP(_u11215, skolem258(_u11217, _u11215, _u11213, _u11211)) = hAPP(_u11215, skolem259(_u11217, _u11215, _u11213, _u11211))) )).
% 20.36/20.62 cnf(matrix-5496, plain, ( c_Fun_Oinj__on(_u11211, _u11213, _u11215, _u11217) | ( skolem258(_u11217, _u11215, _u11213, _u11211) != skolem259(_u11217, _u11215, _u11213, _u11211)) )).
% 20.36/20.62 cnf(matrix-5497, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u11218), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11219), c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u11218, _u11219)) )).
% 20.36/20.62 cnf(matrix-5498, 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)), _u11220)) = hAPP(c_Int_Onat, _u11220)) )).
% 20.36/20.62 cnf(matrix-5499, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u11221), _u11222)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11222), _u11221))) )).
% 20.36/20.62 cnf(matrix-5500, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11223), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11224) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u11223, _u11224)) )).
% 20.36/20.62 cnf(matrix-5501, plain, ( c_Fun_Oinj__on(_u11225, _u11225, c_COMBI(_u11225), _u11226) )).
% 20.36/20.62 cnf(matrix-5502, plain, ( ( hAPP(c_Set_Ovimage(_u11227, _u11227, c_COMBI(_u11227)), _u11228) = _u11228) )).
% 20.36/20.62 cnf(matrix-5503, plain, ( ~c_Fun_Oinj__on(_u11229, _u11230, _u11231, _u11232) | ( hAPP(_u11231, _u11233) != hAPP(_u11231, _u11234)) | ~hBOOL(hAPP(hAPP(c_member(_u11229), _u11233), _u11232)) | ~hBOOL(hAPP(hAPP(c_member(_u11229), _u11234), _u11232)) | ( _u11233 = _u11234) )).
% 20.36/20.62 cnf(matrix-5504, plain, ( ~c_Fun_Oinj__on(_u11235, _u11236, _u11237, _u11238) | ~hBOOL(hAPP(hAPP(c_member(_u11235), _u11239), _u11238)) | ~hBOOL(hAPP(hAPP(c_member(_u11235), _u11240), _u11238)) | ( hAPP(_u11237, _u11239) != hAPP(_u11237, _u11240)) | ( _u11239 = _u11240) )).
% 20.36/20.62 cnf(matrix-5505, plain, ( ~c_Fun_Oinj__on(_u11235, _u11236, _u11237, _u11238) | ~hBOOL(hAPP(hAPP(c_member(_u11235), _u11239), _u11238)) | ~hBOOL(hAPP(hAPP(c_member(_u11235), _u11240), _u11238)) | ( _u11239 != _u11240) | ( hAPP(_u11237, _u11239) = hAPP(_u11237, _u11240)) )).
% 20.36/20.62 cnf(matrix-5506, plain, ( ~c_Fun_Oinj__on(_u11241, _u11242, _u11243, _u11244) | ( _u11245 = _u11246) | ~hBOOL(hAPP(hAPP(c_member(_u11241), _u11245), _u11244)) | ~hBOOL(hAPP(hAPP(c_member(_u11241), _u11246), _u11244)) | ( hAPP(_u11243, _u11245) != hAPP(_u11243, _u11246)) )).
% 20.36/20.62 cnf(matrix-5507, plain, ( ~c_Fun_Oinj__on(_u11247, _u11248, _u11249, _u11250) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11247, tc_HOL_Obool)), _u11251), _u11250)) | c_Fun_Oinj__on(_u11247, _u11248, _u11249, _u11251) )).
% 20.36/20.62 cnf(matrix-5508, plain, ( ~c_Fun_Oinj__on(_u11252, _u11253, _u11254, c_Orderings_Otop__class_Otop(tc_fun(_u11252, tc_HOL_Obool))) | ( hAPP(_u11254, _u11255) != hAPP(_u11254, _u11256)) | ( _u11255 = _u11256) )).
% 20.36/20.62 cnf(matrix-5509, plain, ( ~c_Fun_Oinj__on(_u11252, _u11253, _u11254, c_Orderings_Otop__class_Otop(tc_fun(_u11252, tc_HOL_Obool))) | ( _u11255 != _u11256) | ( hAPP(_u11254, _u11255) = hAPP(_u11254, _u11256)) )).
% 20.36/20.62 cnf(matrix-5510, plain, ( ( hAPP(_u11259, _u11260) != hAPP(_u11259, _u11261)) | ( _u11260 = _u11261) | ~c_Fun_Oinj__on(_u11257, _u11258, _u11259, c_Orderings_Otop__class_Otop(tc_fun(_u11257, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5511, plain, ( ~c_Fun_Oinj__on(_u11262, _u11263, _u11264, _u11265) | ~c_Fun_Oinj__on(_u11262, _u11263, _u11264, _u11266) | c_Fun_Oinj__on(_u11262, _u11263, _u11264, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11262, tc_HOL_Obool)), _u11265), _u11266)) )).
% 20.36/20.62 cnf(matrix-5512, plain, ( ~c_Fun_Oinj__on(_u11267, _u11268, _u11269, _u11270) | c_Fun_Oinj__on(_u11267, _u11268, _u11269, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11267, tc_HOL_Obool)), _u11270), _u11271)) )).
% 20.36/20.62 cnf(matrix-5513, plain, ( ~c_Fun_Oinj__on(_u11272, _u11273, _u11274, c_Orderings_Otop__class_Otop(tc_fun(_u11272, tc_HOL_Obool))) | c_Fun_Oinj__on(_u11272, tc_fun(_u11275, _u11273), hAPP(hAPP(c_COMBB(_u11273, tc_fun(_u11275, _u11273), _u11272), c_COMBK(_u11273, _u11275)), _u11274), c_Orderings_Otop__class_Otop(tc_fun(_u11272, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5514, plain, ( ~c_Fun_Oinj__on(_u11276, _u11277, _u11278, c_Orderings_Otop__class_Otop(tc_fun(_u11276, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11276, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u11276, _u11277, _u11278), hAPP(hAPP(c_Set_Oinsert(_u11277), _u11279), c_Orderings_Obot__class_Obot(tc_fun(_u11277, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u11276), c_HOL_OThe(_u11276, hAPP(hAPP(c_COMBC(_u11276, _u11277, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u11277, tc_fun(_u11277, tc_HOL_Obool), _u11276), c_fequal), _u11278)), _u11279))), c_Orderings_Obot__class_Obot(tc_fun(_u11276, tc_HOL_Obool))))) )).
% 20.36/20.62 cnf(matrix-5515, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11281, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11281, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem260(_u11284, _u11283, _u11282, _u11281))), _u11282)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11281, 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(_u11284, _u11283, _u11282, _u11281)), _u11283))), _u11284))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11281, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11281, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11282)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11281, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11284))) )).
% 20.36/20.62 cnf(matrix-5516, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11286, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem261(_u11289, _u11288, _u11287, _u11286))), _u11287) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11286, 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(_u11289, _u11288, _u11287, _u11286)), _u11288))), _u11289)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11286, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11287) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11286, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11289)) )).
% 20.36/20.62 cnf(matrix-5517, plain, ( ( c_HOL_OThe(tc_prod(_u11290, _u11291), hAPP(c_Product__Type_Oprod_Oprod__case(_u11290, _u11291, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u11290, tc_fun(_u11291, tc_HOL_Obool), tc_fun(_u11291, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u11291, tc_HOL_Obool), tc_fun(_u11291, tc_HOL_Obool)), _u11290), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u11291)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11290), c_fconj), hAPP(c_fequal, _u11292)))), hAPP(c_fequal, _u11293)))) = hAPP(hAPP(c_Product__Type_OPair(_u11290, _u11291), _u11292), _u11293)) )).
% 20.36/20.62 cnf(matrix-5518, plain, ( ( c_HOL_OThe(tc_prod(_u11294, _u11295), _u11296) = c_HOL_OThe(tc_prod(_u11294, _u11295), hAPP(c_Product__Type_Oprod_Oprod__case(_u11294, _u11295, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u11295, tc_prod(_u11294, _u11295)), tc_fun(_u11295, tc_HOL_Obool), _u11294), hAPP(c_COMBB(tc_prod(_u11294, _u11295), tc_HOL_Obool, _u11295), _u11296)), c_Product__Type_OPair(_u11294, _u11295))))) )).
% 20.36/20.62 cnf(matrix-5519, plain, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u11297, _u11298, _u11299), _u11300), _u11301) = c_HOL_OThe(_u11298, c_Finite__Set_Ofold__graph(_u11297, _u11298, _u11299, _u11300, _u11301))) )).
% 20.36/20.62 cnf(matrix-5520, plain, ( ( c_Divides_Odivmod__nat(_u11302, _u11303) = c_HOL_OThe(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat__rel(_u11302, _u11303))) )).
% 20.36/20.62 cnf(matrix-5521, plain, ( ( hAPP(c_Finite__Set_Ofold1(_u11304, _u11305), _u11306) = c_HOL_OThe(_u11304, c_Finite__Set_Ofold1Set(_u11304, _u11305, _u11306))) )).
% 20.36/20.62 cnf(matrix-5522, plain, ( ( c_HOL_OThe(tc_prod(_u11307, _u11308), hAPP(c_Product__Type_Oprod_Oprod__case(_u11307, _u11308, tc_HOL_Obool), _u11309)) = c_HOL_OThe(tc_prod(_u11307, _u11308), hAPP(hAPP(c_COMBS(tc_prod(_u11307, _u11308), _u11308, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u11307, tc_fun(_u11308, tc_HOL_Obool), tc_prod(_u11307, _u11308)), _u11309), c_Product__Type_Ofst(_u11307, _u11308))), c_Product__Type_Osnd(_u11307, _u11308)))) )).
% 20.36/20.62 cnf(matrix-5523, plain, ( ( c_Set_Othe__elem(_u11310, _u11311) = c_HOL_OThe(_u11310, hAPP(hAPP(c_COMBB(tc_fun(_u11310, tc_HOL_Obool), tc_HOL_Obool, _u11310), hAPP(c_fequal, _u11311)), hAPP(hAPP(c_COMBC(_u11310, tc_fun(_u11310, tc_HOL_Obool), tc_fun(_u11310, tc_HOL_Obool)), c_Set_Oinsert(_u11310)), c_Orderings_Obot__class_Obot(tc_fun(_u11310, tc_HOL_Obool)))))) )).
% 20.36/20.62 cnf(matrix-5524, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11315, tc_HOL_Obool)), _u11317), hAPP(hAPP(c_Set_Oinsert(_u11315), _u11319), c_Orderings_Obot__class_Obot(tc_fun(_u11315, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u11315, _u11319, _u11317) = _u11319) )).
% 20.36/20.62 cnf(matrix-5525, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11316, tc_HOL_Obool)), _u11318), hAPP(hAPP(c_Set_Oinsert(_u11316), _u11320), c_Orderings_Obot__class_Obot(tc_fun(_u11316, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u11316, _u11320, _u11318) = c_HOL_OThe(_u11316, hAPP(hAPP(c_COMBC(_u11316, tc_fun(_u11316, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11316)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11316, tc_HOL_Obool)), _u11318), hAPP(hAPP(c_Set_Oinsert(_u11316), _u11320), c_Orderings_Obot__class_Obot(tc_fun(_u11316, tc_HOL_Obool))))))) )).
% 20.36/20.62 cnf(matrix-5526, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11322, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11322, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem262(_u11324, _u11323, _u11322))), _u11323)), _u11324)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11322, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11322, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11323)), _u11324)) )).
% 20.36/20.62 cnf(matrix-5527, 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) )).
% 20.36/20.62 cnf(matrix-5528, plain, ( ~c_Typedef_Otype__definition(_u11325, _u11326, _u11327, _u11328, _u11329) | ~hBOOL(hAPP(hAPP(c_member(_u11326), _u11330), _u11329)) | ~hBOOL(hAPP(hAPP(c_member(_u11326), _u11331), _u11329)) | ( hAPP(_u11328, _u11330) != hAPP(_u11328, _u11331)) | ( _u11330 = _u11331) )).
% 20.36/20.62 cnf(matrix-5529, plain, ( ~c_Typedef_Otype__definition(_u11325, _u11326, _u11327, _u11328, _u11329) | ~hBOOL(hAPP(hAPP(c_member(_u11326), _u11330), _u11329)) | ~hBOOL(hAPP(hAPP(c_member(_u11326), _u11331), _u11329)) | ( _u11330 != _u11331) | ( hAPP(_u11328, _u11330) = hAPP(_u11328, _u11331)) )).
% 20.36/20.62 cnf(matrix-5530, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11333), _u11337), _u11336)) | ( hAPP(_u11334, hAPP(_u11335, _u11337)) = _u11337) | ~c_Typedef_Otype__definition(_u11332, _u11333, _u11334, _u11335, _u11336) )).
% 20.36/20.62 cnf(matrix-5531, plain, ( hBOOL(hAPP(hAPP(c_member(_u11339), hAPP(_u11340, _u11343)), _u11342)) | ~c_Typedef_Otype__definition(_u11338, _u11339, _u11340, _u11341, _u11342) )).
% 20.36/20.62 cnf(matrix-5532, plain, ( ( hAPP(_u11347, hAPP(_u11346, _u11349)) = _u11349) | ~c_Typedef_Otype__definition(_u11344, _u11345, _u11346, _u11347, _u11348) )).
% 20.36/20.62 cnf(matrix-5533, plain, ( ~c_Typedef_Otype__definition(_u11350, _u11351, _u11352, _u11353, _u11354) | ( hAPP(_u11352, _u11355) != hAPP(_u11352, _u11356)) | ( _u11355 = _u11356) )).
% 20.36/20.62 cnf(matrix-5534, plain, ( ~c_Typedef_Otype__definition(_u11350, _u11351, _u11352, _u11353, _u11354) | ( _u11355 != _u11356) | ( hAPP(_u11352, _u11355) = hAPP(_u11352, _u11356)) )).
% 20.36/20.62 cnf(matrix-5535, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11360), _u11362)) | ( 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)), _u11360)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11364), _u11362)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u11364), _u11360)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u11362), _u11360))) )).
% 20.36/20.62 cnf(matrix-5536, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11361), _u11363)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11365), _u11363)) | ( 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)), _u11361)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11365), _u11363)) = 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)))) )).
% 20.36/20.62 cnf(matrix-5537, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11361), _u11363)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11365), _u11363)) | ( 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)), _u11361)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11365), _u11363)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5538, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11366)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11366) = 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, _u11366)))) )).
% 20.36/20.62 cnf(matrix-5539, plain, ( ~class_Orderings_Oorder(_u11367) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11367, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u11367), _u11368)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11367), _u11368)) = hAPP(hAPP(c_Set_Oinsert(_u11367), _u11368), c_Orderings_Obot__class_Obot(tc_fun(_u11367, tc_HOL_Obool)))) )).
% 20.36/20.62 cnf(matrix-5540, plain, ( ( _u11369 != hAPP(_u11370, _u11371)) | ~hBOOL(hAPP(hAPP(c_member(_u11372), _u11371), _u11373)) | hBOOL(hAPP(hAPP(c_member(_u11374), _u11369), hAPP(c_Set_Oimage(_u11372, _u11374, _u11370), _u11373))) )).
% 20.36/20.62 cnf(matrix-5541, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11375), _u11376)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11377), hAPP(c_Set_Oimage(_u11375, _u11377, _u11378), _u11376))) )).
% 20.36/20.62 cnf(matrix-5542, plain, ( ( hAPP(c_Set_Oimage(_u11379, _u11380, hAPP(hAPP(c_COMBB(_u11381, _u11380, _u11379), _u11382), _u11383)), c_Orderings_Otop__class_Otop(tc_fun(_u11379, tc_HOL_Obool))) = hAPP(c_Set_Oimage(_u11381, _u11380, _u11382), hAPP(c_Set_Oimage(_u11379, _u11381, _u11383), c_Orderings_Otop__class_Otop(tc_fun(_u11379, tc_HOL_Obool))))) )).
% 20.36/20.62 cnf(matrix-5543, plain, ( ~class_Groups_Oordered__ab__group__add(_u11384) | ( hAPP(c_Set_Oimage(_u11384, _u11384, c_Groups_Ouminus__class_Ouminus(_u11384)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11384), _u11385)) = hAPP(c_SetInterval_Oord__class_OatMost(_u11384), hAPP(c_Groups_Ouminus__class_Ouminus(_u11384), _u11385))) )).
% 20.36/20.62 cnf(matrix-5544, plain, ( ~class_Groups_Oordered__ab__group__add(_u11386) | ( hAPP(c_Set_Oimage(_u11386, _u11386, c_Groups_Ouminus__class_Ouminus(_u11386)), hAPP(c_SetInterval_Oord__class_OatMost(_u11386), _u11387)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u11386), hAPP(c_Groups_Ouminus__class_Ouminus(_u11386), _u11387))) )).
% 20.36/20.62 cnf(matrix-5545, plain, ( ( hAPP(c_Set_Oimage(_u11388, _u11389, _u11390), hAPP(hAPP(c_Set_Oinsert(_u11388), _u11391), _u11392)) = hAPP(hAPP(c_Set_Oinsert(_u11389), hAPP(_u11390, _u11391)), hAPP(c_Set_Oimage(_u11388, _u11389, _u11390), _u11392))) )).
% 20.36/20.62 cnf(matrix-5546, plain, ( ( _u11403 = c_Orderings_Obot__class_Obot(tc_fun(_u11399, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u11397, tc_HOL_Obool)) != hAPP(c_Set_Oimage(_u11399, _u11397, _u11401), _u11403)) )).
% 20.36/20.62 cnf(matrix-5547, plain, ( ( _u11404 != c_Orderings_Obot__class_Obot(tc_fun(_u11400, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u11398, tc_HOL_Obool)) = hAPP(c_Set_Oimage(_u11400, _u11398, _u11402), _u11404)) )).
% 20.36/20.62 cnf(matrix-5548, plain, ( ( hAPP(c_Set_Oimage(_u11405, _u11406, _u11407), c_Orderings_Obot__class_Obot(tc_fun(_u11405, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u11406, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5549, plain, ( ( hAPP(c_Set_Oimage(_u11412, _u11414, _u11416), _u11418) != c_Orderings_Obot__class_Obot(tc_fun(_u11414, tc_HOL_Obool))) | ( _u11418 = c_Orderings_Obot__class_Obot(tc_fun(_u11412, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5550, plain, ( ( _u11419 != c_Orderings_Obot__class_Obot(tc_fun(_u11413, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11413, _u11415, _u11417), _u11419) = c_Orderings_Obot__class_Obot(tc_fun(_u11415, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5551, plain, ( ~class_Orderings_Olinorder(_u11420) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u11420), _u11421) != hAPP(c_SetInterval_Oord__class_OatLeast(_u11420), _u11422)) | ( _u11421 = _u11422) )).
% 20.36/20.62 cnf(matrix-5552, plain, ( ~class_Orderings_Olinorder(_u11420) | ( _u11421 != _u11422) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u11420), _u11421) = hAPP(c_SetInterval_Oord__class_OatLeast(_u11420), _u11422)) )).
% 20.36/20.62 cnf(matrix-5553, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u11425), _u11427)) | 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)), _u11425)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u11427))) )).
% 20.36/20.62 cnf(matrix-5554, 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)), _u11426)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u11428))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u11426), _u11428)) )).
% 20.36/20.62 cnf(matrix-5555, plain, ( ( _u11431 != _u11433) | ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u11431) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u11433)) )).
% 20.36/20.62 cnf(matrix-5556, plain, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u11432) != hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u11434)) | ( _u11432 = _u11434) )).
% 20.36/20.62 cnf(matrix-5557, plain, ( ( hAPP(c_Set_Oimage(_u11435, _u11436, _u11437), _u11438) != _u11439) | ( hAPP(c_Set_Oimage(tc_fun(_u11435, tc_HOL_Obool), tc_fun(_u11436, tc_HOL_Obool), c_Set_Oimage(_u11435, _u11436, _u11437)), hAPP(c_Set_OPow(_u11435), _u11438)) = hAPP(c_Set_OPow(_u11436), _u11439)) )).
% 20.36/20.62 cnf(matrix-5558, plain, ( ( hAPP(c_Set_Oimage(_u11440, _u11441, _u11442), hAPP(c_Set_Oimage(_u11443, _u11440, _u11444), _u11445)) = hAPP(c_Set_Oimage(_u11443, _u11441, hAPP(hAPP(c_COMBB(_u11440, _u11441, _u11443), _u11442), _u11444)), _u11445)) )).
% 20.36/20.62 cnf(matrix-5559, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11446, tc_fun(_u11447, tc_HOL_Obool)), _u11448), hAPP(hAPP(c_COMBB(_u11449, tc_fun(_u11447, tc_HOL_Obool), _u11446), _u11450), _u11451)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11449, tc_fun(_u11447, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11446, _u11449, _u11451), _u11448)), _u11450)) )).
% 20.36/20.62 cnf(matrix-5560, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11452, tc_fun(_u11453, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11454, _u11452, _u11455), _u11456)), _u11457) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11454, tc_fun(_u11453, tc_HOL_Obool)), _u11456), hAPP(hAPP(c_COMBB(_u11452, tc_fun(_u11453, tc_HOL_Obool), _u11454), _u11457), _u11455))) )).
% 20.36/20.62 cnf(matrix-5561, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11458, tc_fun(_u11459, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11460, _u11458, _u11461), _u11462)), _u11463) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11460, tc_fun(_u11459, tc_HOL_Obool)), _u11462), hAPP(hAPP(c_COMBB(_u11458, tc_fun(_u11459, tc_HOL_Obool), _u11460), _u11463), _u11461))) )).
% 20.36/20.62 cnf(matrix-5562, plain, ( ( hAPP(c_Set_Oimage(_u11464, _u11465, _u11466), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11467, tc_fun(_u11464, tc_HOL_Obool)), _u11468), _u11469)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11467, tc_fun(_u11465, tc_HOL_Obool)), _u11468), hAPP(hAPP(c_COMBB(tc_fun(_u11464, tc_HOL_Obool), tc_fun(_u11465, tc_HOL_Obool), _u11467), c_Set_Oimage(_u11464, _u11465, _u11466)), _u11469))) )).
% 20.36/20.62 cnf(matrix-5563, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11470, tc_fun(_u11471, tc_HOL_Obool)), _u11472), hAPP(hAPP(c_COMBB(_u11473, tc_fun(_u11471, tc_HOL_Obool), _u11470), _u11474), _u11475)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11473, tc_fun(_u11471, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11470, _u11473, _u11475), _u11472)), _u11474)) )).
% 20.36/20.62 cnf(matrix-5564, plain, ( ( hAPP(c_Set_Oimage(_u11476, _u11476, c_COMBI(_u11476)), _u11477) = _u11477) )).
% 20.36/20.62 cnf(matrix-5565, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11478, tc_HOL_Obool)), _u11479), _u11480)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11481, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11478, _u11481, _u11482), _u11479)), hAPP(c_Set_Oimage(_u11478, _u11481, _u11482), _u11480))) )).
% 20.36/20.62 cnf(matrix-5566, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11490, tc_HOL_Obool)), _u11492), hAPP(c_Set_Oimage(_u11494, _u11490, _u11496), _u11498))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11494, tc_HOL_Obool)), skolem263(_u11498, _u11496, _u11494, _u11492, _u11490)), _u11498)) )).
% 20.36/20.62 cnf(matrix-5567, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11490, tc_HOL_Obool)), _u11492), hAPP(c_Set_Oimage(_u11494, _u11490, _u11496), _u11498))) | ( _u11492 = hAPP(c_Set_Oimage(_u11494, _u11490, _u11496), skolem263(_u11498, _u11496, _u11494, _u11492, _u11490))) )).
% 20.36/20.62 cnf(matrix-5568, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11495, tc_HOL_Obool)), _u11484), _u11499)) | ( _u11493 != hAPP(c_Set_Oimage(_u11495, _u11491, _u11497), _u11484)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11491, tc_HOL_Obool)), _u11493), hAPP(c_Set_Oimage(_u11495, _u11491, _u11497), _u11499))) )).
% 20.36/20.62 cnf(matrix-5569, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11500, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11501, _u11500, _u11502), _u11503)), _u11504)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u11500, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_fun(_u11501, tc_HOL_Obool), tc_fun(_u11500, tc_HOL_Obool), c_Set_Oimage(_u11501, _u11500, _u11502)), hAPP(c_Set_OPow(_u11501), _u11503))), hAPP(c_Set_OPow(_u11500), _u11504))) )).
% 20.36/20.62 cnf(matrix-5570, plain, ( ( hAPP(c_Set_Oimage(_u11505, _u11506, _u11507), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11505, tc_HOL_Obool)), _u11508), _u11509)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11506, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11505, _u11506, _u11507), _u11508)), hAPP(c_Set_Oimage(_u11505, _u11506, _u11507), _u11509))) )).
% 20.36/20.62 cnf(matrix-5571, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11517), _u11519), hAPP(c_Set_Oimage(_u11521, _u11517, _u11523), _u11525))) | hBOOL(hAPP(hAPP(c_member(_u11521), skolem264(_u11525, _u11523, _u11521, _u11519)), _u11525)) )).
% 20.36/20.62 cnf(matrix-5572, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11517), _u11519), hAPP(c_Set_Oimage(_u11521, _u11517, _u11523), _u11525))) | ( _u11519 = hAPP(_u11523, skolem264(_u11525, _u11523, _u11521, _u11519))) )).
% 20.36/20.62 cnf(matrix-5573, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11522), _u11511), _u11526)) | ( _u11520 != hAPP(_u11524, _u11511)) | hBOOL(hAPP(hAPP(c_member(_u11518), _u11520), hAPP(c_Set_Oimage(_u11522, _u11518, _u11524), _u11526))) )).
% 20.36/20.62 cnf(matrix-5574, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11527), _u11528), _u11529)) | hBOOL(hAPP(hAPP(c_member(_u11530), hAPP(_u11531, _u11528)), hAPP(c_Set_Oimage(_u11527, _u11530, _u11531), _u11529))) )).
% 20.36/20.62 cnf(matrix-5575, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11532), _u11533), _u11534)) | ( _u11535 != hAPP(_u11536, _u11533)) | hBOOL(hAPP(hAPP(c_member(_u11537), _u11535), hAPP(c_Set_Oimage(_u11532, _u11537, _u11536), _u11534))) )).
% 20.36/20.62 cnf(matrix-5576, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11538), _u11539), _u11540)) | ( hAPP(hAPP(c_Set_Oinsert(_u11541), hAPP(_u11542, _u11539)), hAPP(c_Set_Oimage(_u11538, _u11541, _u11542), _u11540)) = hAPP(c_Set_Oimage(_u11538, _u11541, _u11542), _u11540)) )).
% 20.36/20.62 cnf(matrix-5577, plain, ( ( _u11543 != hAPP(_u11544, _u11545)) | hBOOL(hAPP(hAPP(c_member(_u11546), _u11543), hAPP(c_Set_Oimage(_u11547, _u11546, _u11544), c_Orderings_Otop__class_Otop(tc_fun(_u11547, tc_HOL_Obool))))) )).
% 20.36/20.62 cnf(matrix-5578, plain, ( hBOOL(hAPP(hAPP(c_member(_u11548), hAPP(_u11549, _u11550)), hAPP(c_Set_Oimage(_u11551, _u11548, _u11549), c_Orderings_Otop__class_Otop(tc_fun(_u11551, tc_HOL_Obool))))) )).
% 20.36/20.62 cnf(matrix-5579, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11552), _u11553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11554, tc_HOL_Obool)), _u11555), hAPP(c_Set_Oimage(_u11552, _u11554, _u11556), _u11553))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11554), _u11555)) )).
% 20.36/20.62 cnf(matrix-5580, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11557, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11558, _u11557, _u11559), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11558, tc_HOL_Obool)), _u11560), _u11561))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11557, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11558, _u11557, _u11559), _u11560)), hAPP(c_Set_Oimage(_u11558, _u11557, _u11559), _u11561)))) )).
% 20.36/20.62 cnf(matrix-5581, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11562), hAPP(c_Set_Oimage(_u11563, _u11562, _u11564), _u11565))) | ~c_Fun_Oinj__on(_u11563, _u11562, _u11564, _u11565) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11563), _u11565)) )).
% 20.36/20.62 cnf(matrix-5582, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11566, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11566, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11567, _u11566, _u11568), _u11569)), hAPP(c_Set_Oimage(_u11567, _u11566, _u11568), _u11570))), hAPP(c_Set_Oimage(_u11567, _u11566, _u11568), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11567, tc_HOL_Obool)), _u11569), _u11570)))) )).
% 20.36/20.62 cnf(matrix-5583, plain, ( ~c_Fun_Oinj__on(_u11571, _u11572, _u11573, c_Orderings_Otop__class_Otop(tc_fun(_u11571, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11571, _u11572, _u11573), _u11574) != hAPP(c_Set_Oimage(_u11571, _u11572, _u11573), _u11575)) | ( _u11574 = _u11575) )).
% 20.36/20.62 cnf(matrix-5584, plain, ( ~c_Fun_Oinj__on(_u11571, _u11572, _u11573, c_Orderings_Otop__class_Otop(tc_fun(_u11571, tc_HOL_Obool))) | ( _u11574 != _u11575) | ( hAPP(c_Set_Oimage(_u11571, _u11572, _u11573), _u11574) = hAPP(c_Set_Oimage(_u11571, _u11572, _u11573), _u11575)) )).
% 20.36/20.62 cnf(matrix-5585, plain, ( ~c_Fun_Oinj__on(_u11576, _u11577, _u11578, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11576, tc_HOL_Obool)), _u11579), _u11580)) | ( hAPP(c_Set_Oimage(_u11576, _u11577, _u11578), _u11579) != hAPP(c_Set_Oimage(_u11576, _u11577, _u11578), _u11580)) | ( _u11579 = _u11580) )).
% 20.36/20.62 cnf(matrix-5586, plain, ( ~c_Fun_Oinj__on(_u11576, _u11577, _u11578, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11576, tc_HOL_Obool)), _u11579), _u11580)) | ( _u11579 != _u11580) | ( hAPP(c_Set_Oimage(_u11576, _u11577, _u11578), _u11579) = hAPP(c_Set_Oimage(_u11576, _u11577, _u11578), _u11580)) )).
% 20.36/20.62 cnf(matrix-5587, plain, ( ~class_Groups_Oordered__ab__group__add(_u11581) | ( hAPP(c_Set_Oimage(_u11581, _u11581, c_Groups_Ouminus__class_Ouminus(_u11581)), c_SetInterval_Oord__class_OatLeastAtMost(_u11581, _u11582, _u11583)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11581, hAPP(c_Groups_Ouminus__class_Ouminus(_u11581), _u11583), hAPP(c_Groups_Ouminus__class_Ouminus(_u11581), _u11582))) )).
% 20.36/20.62 cnf(matrix-5588, plain, ( ~c_Fun_Oinj__on(_u11584, _u11585, _u11586, _u11587) | ( hAPP(c_Finite__Set_Ocard(_u11585), hAPP(c_Set_Oimage(_u11584, _u11585, _u11586), _u11587)) = hAPP(c_Finite__Set_Ocard(_u11584), _u11587)) )).
% 20.36/20.62 cnf(matrix-5589, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11588, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11589, _u11588, _u11590), hAPP(c_Set_Ovimage(_u11589, _u11588, _u11590), _u11591))), _u11591)) )).
% 20.36/20.62 cnf(matrix-5590, plain, ( ( hAPP(c_Set_Oimage(_u11592, _u11593, _u11594), c_Orderings_Otop__class_Otop(tc_fun(_u11592, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u11593, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11592, _u11593, _u11594), hAPP(c_Set_Ovimage(_u11592, _u11593, _u11594), _u11595)) = _u11595) )).
% 20.36/20.62 cnf(matrix-5591, plain, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11596), _u11597)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u11596)), hAPP(c_Nat_OSuc, _u11597))) )).
% 20.36/20.62 cnf(matrix-5592, plain, ( ~c_Typedef_Otype__definition(_u11598, _u11599, _u11600, _u11601, _u11602) | ( hAPP(c_Set_Oimage(_u11599, _u11598, _u11601), _u11602) = c_Orderings_Otop__class_Otop(tc_fun(_u11598, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5593, plain, ( ~c_Typedef_Otype__definition(_u11603, _u11604, _u11605, _u11606, _u11607) | ( hAPP(c_Set_Oimage(_u11603, _u11604, _u11605), c_Orderings_Otop__class_Otop(tc_fun(_u11603, tc_HOL_Obool))) = _u11607) )).
% 20.36/20.62 cnf(matrix-5594, plain, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11608, _u11609)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u11608), hAPP(c_Nat_OSuc, _u11609))) )).
% 20.36/20.62 cnf(matrix-5595, plain, ( ~class_Groups_Oordered__ab__group__add(_u11610) | ( hAPP(c_Set_Oimage(_u11610, _u11610, c_Groups_Ouminus__class_Ouminus(_u11610)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11610, _u11611, _u11612)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u11610, hAPP(c_Groups_Ouminus__class_Ouminus(_u11610), _u11612), hAPP(c_Groups_Ouminus__class_Ouminus(_u11610), _u11611))) )).
% 20.36/20.62 cnf(matrix-5596, plain, ( ~c_Fun_Oinj__on(_u11613, _u11614, _u11615, _u11616) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11613, tc_HOL_Obool)), _u11617), _u11616)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11614, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11613, _u11614, _u11615), _u11617)), hAPP(c_Set_Oimage(_u11613, _u11614, _u11615), _u11616))) )).
% 20.36/20.62 cnf(matrix-5597, plain, ( ( _u11622 != c_Orderings_Obot__class_Obot(tc_fun(_u11624, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11624, _u11626, hAPP(c_COMBK(_u11626, _u11624), _u11628)), _u11622) = c_Orderings_Obot__class_Obot(tc_fun(_u11626, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5598, plain, ( ( _u11623 = c_Orderings_Obot__class_Obot(tc_fun(_u11625, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11625, _u11627, hAPP(c_COMBK(_u11627, _u11625), _u11629)), _u11623) = hAPP(hAPP(c_Set_Oinsert(_u11627), _u11629), c_Orderings_Obot__class_Obot(tc_fun(_u11627, tc_HOL_Obool)))) )).
% 20.36/20.62 cnf(matrix-5599, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11630), hAPP(c_Set_Oimage(_u11631, _u11630, _u11632), c_Orderings_Otop__class_Otop(tc_fun(_u11631, tc_HOL_Obool))))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11633), hAPP(c_Set_Oimage(_u11631, _u11633, hAPP(hAPP(c_COMBB(_u11630, _u11633, _u11631), _u11634), _u11632)), c_Orderings_Otop__class_Otop(tc_fun(_u11631, tc_HOL_Obool))))) )).
% 20.36/20.62 cnf(matrix-5600, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u11637), _u11639)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u11637)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u11639))) )).
% 20.36/20.62 cnf(matrix-5601, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u11638)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u11640))) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u11638), _u11640)) )).
% 20.36/20.62 cnf(matrix-5602, plain, ( ~class_Groups_Ocomm__monoid__add(_u11641) | ~class_Groups_Ocomm__monoid__mult(_u11641) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u11641), _u11642), _u11643) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11641), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11641, tc_Int_Oint), _u11642), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u11643))) )).
% 20.36/20.62 cnf(matrix-5603, 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)), _u11644)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11645), _u11646)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11645), _u11644)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11646), _u11644))) )).
% 20.36/20.62 cnf(matrix-5604, 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)), _u11647)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11648, _u11649)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11648), _u11647), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11649), _u11647))) )).
% 20.36/20.62 cnf(matrix-5605, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u11652), _u11654)) | 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)), _u11652)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u11654))) )).
% 20.36/20.62 cnf(matrix-5606, 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)), _u11653)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u11655))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u11653), _u11655)) )).
% 20.36/20.62 cnf(matrix-5607, plain, ( ( hAPP(c_Set_Oimage(_u11656, _u11657, _u11658), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u11656, tc_HOL_Obool), _u11659)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u11656, tc_HOL_Obool), tc_fun(_u11657, tc_HOL_Obool)), _u11659), c_Set_Oimage(_u11656, _u11657, _u11658))) )).
% 20.36/20.62 cnf(matrix-5608, plain, ( ~c_Fun_Oinj__on(_u11664, _u11665, _u11666, c_Orderings_Otop__class_Otop(tc_fun(_u11664, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u11665), _u11667), hAPP(c_Set_Oimage(_u11664, _u11665, _u11666), c_Orderings_Otop__class_Otop(tc_fun(_u11664, tc_HOL_Obool))))) | ( _u11667 = hAPP(_u11666, skolem265(_u11667, _u11666, _u11665, _u11664))) )).
% 20.36/20.62 cnf(matrix-5609, plain, ( ~c_Fun_Oinj__on(_u11664, _u11665, _u11666, c_Orderings_Otop__class_Otop(tc_fun(_u11664, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u11665), _u11667), hAPP(c_Set_Oimage(_u11664, _u11665, _u11666), c_Orderings_Otop__class_Otop(tc_fun(_u11664, tc_HOL_Obool))))) | ( _u11667 != hAPP(_u11666, _u11660)) | ( _u11660 = skolem265(_u11667, _u11666, _u11665, _u11664)) )).
% 20.36/20.62 cnf(matrix-5610, plain, ( ~c_Fun_Oinj__on(_u11664, _u11665, _u11666, c_Orderings_Otop__class_Otop(tc_fun(_u11664, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u11665), _u11667), hAPP(c_Set_Oimage(_u11664, _u11665, _u11666), c_Orderings_Otop__class_Otop(tc_fun(_u11664, tc_HOL_Obool))))) | ( _u11667 != hAPP(_u11666, _u11663)) | ( _u11667 = hAPP(_u11666, skolem266(_u11667, _u11666, _u11665, _u11664, _u11663))) )).
% 20.36/20.62 cnf(matrix-5611, plain, ( ~c_Fun_Oinj__on(_u11664, _u11665, _u11666, c_Orderings_Otop__class_Otop(tc_fun(_u11664, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u11665), _u11667), hAPP(c_Set_Oimage(_u11664, _u11665, _u11666), c_Orderings_Otop__class_Otop(tc_fun(_u11664, tc_HOL_Obool))))) | ( _u11667 != hAPP(_u11666, _u11663)) | ( skolem266(_u11667, _u11666, _u11665, _u11664, _u11663) != _u11663) )).
% 20.36/20.62 cnf(matrix-5612, plain, ( ~c_Fun_Oinj__on(_u11668, _u11669, _u11670, c_Orderings_Otop__class_Otop(tc_fun(_u11668, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u11669), hAPP(_u11670, _u11671)), hAPP(c_Set_Oimage(_u11668, _u11669, _u11670), _u11672))) | hBOOL(hAPP(hAPP(c_member(_u11668), _u11671), _u11672)) )).
% 20.36/20.62 cnf(matrix-5613, plain, ( ~c_Fun_Oinj__on(_u11668, _u11669, _u11670, c_Orderings_Otop__class_Otop(tc_fun(_u11668, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u11668), _u11671), _u11672)) | hBOOL(hAPP(hAPP(c_member(_u11669), hAPP(_u11670, _u11671)), hAPP(c_Set_Oimage(_u11668, _u11669, _u11670), _u11672))) )).
% 20.36/20.62 cnf(matrix-5614, plain, ( ( _u11677 = c_Orderings_Obot__class_Obot(tc_fun(_u11678, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u11678, _u11679, _u11673, _u11677) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11679, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11678, _u11679, _u11673), _u11677)), _u11680)) | ( hAPP(c_Set_Oimage(_u11679, _u11678, skolem267(_u11680, _u11679, _u11678, _u11677)), _u11680) = _u11677) )).
% 20.36/20.62 cnf(matrix-5615, plain, ( ( _u11677 = c_Orderings_Obot__class_Obot(tc_fun(_u11678, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11679, _u11678, _u11675), _u11680) != _u11677) | c_Fun_Oinj__on(_u11678, _u11679, skolem268(_u11680, _u11679, _u11678, _u11677), _u11677) )).
% 20.36/20.62 cnf(matrix-5616, plain, ( ( _u11677 = c_Orderings_Obot__class_Obot(tc_fun(_u11678, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11679, _u11678, _u11675), _u11680) != _u11677) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11679, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11678, _u11679, skolem268(_u11680, _u11679, _u11678, _u11677)), _u11677)), _u11680)) )).
% 20.36/20.62 cnf(matrix-5617, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11681), _u11682)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11681, tc_HOL_Obool)), _u11682), hAPP(c_Set_Oimage(_u11681, _u11681, _u11683), _u11682))) | c_Fun_Oinj__on(_u11681, _u11681, _u11683, _u11682) )).
% 20.36/20.62 cnf(matrix-5618, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11684), _u11685)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11684, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11684, _u11684, _u11686), _u11685)), _u11685)) | ~c_Fun_Oinj__on(_u11684, _u11684, _u11686, _u11685) | ( hAPP(c_Set_Oimage(_u11684, _u11684, _u11686), _u11685) = _u11685) )).
% 20.36/20.62 cnf(matrix-5619, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11687), c_Orderings_Otop__class_Otop(tc_fun(_u11687, tc_HOL_Obool)))) | ( hAPP(c_Set_Oimage(_u11687, _u11687, _u11688), c_Orderings_Otop__class_Otop(tc_fun(_u11687, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u11687, tc_HOL_Obool))) | c_Fun_Oinj__on(_u11687, _u11687, _u11688, c_Orderings_Otop__class_Otop(tc_fun(_u11687, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5620, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11689), c_Orderings_Otop__class_Otop(tc_fun(_u11689, tc_HOL_Obool)))) | ~c_Fun_Oinj__on(_u11689, _u11689, _u11690, c_Orderings_Otop__class_Otop(tc_fun(_u11689, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11689, _u11689, _u11690), c_Orderings_Otop__class_Otop(tc_fun(_u11689, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u11689, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5621, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11691), _u11692)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u11693), hAPP(c_Set_Oimage(_u11691, _u11693, _u11694), _u11692))), hAPP(c_Finite__Set_Ocard(_u11691), _u11692))) )).
% 20.36/20.62 cnf(matrix-5622, plain, ( ~c_Fun_Oinj__on(_u11695, _u11696, _u11697, c_Orderings_Otop__class_Otop(tc_fun(_u11695, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11696, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11695, _u11696, _u11697), _u11698)), hAPP(c_Set_Oimage(_u11695, _u11696, _u11697), _u11699))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11695, tc_HOL_Obool)), _u11698), _u11699)) )).
% 20.36/20.62 cnf(matrix-5623, plain, ( ~c_Fun_Oinj__on(_u11695, _u11696, _u11697, c_Orderings_Otop__class_Otop(tc_fun(_u11695, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11695, tc_HOL_Obool)), _u11698), _u11699)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11696, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11695, _u11696, _u11697), _u11698)), hAPP(c_Set_Oimage(_u11695, _u11696, _u11697), _u11699))) )).
% 20.36/20.62 cnf(matrix-5624, plain, ( ~c_Fun_Oinj__on(_u11700, _u11701, _u11702, _u11703) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11700, tc_HOL_Obool)), _u11704), _u11703)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11700, tc_HOL_Obool)), _u11705), _u11703)) | ( hAPP(c_Set_Oimage(_u11700, _u11701, _u11702), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11700, tc_HOL_Obool)), _u11704), _u11705)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11701, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11700, _u11701, _u11702), _u11704)), hAPP(c_Set_Oimage(_u11700, _u11701, _u11702), _u11705))) )).
% 20.36/20.62 cnf(matrix-5625, plain, ( ~c_Fun_Oinj__on(_u11706, _u11707, _u11708, c_Orderings_Otop__class_Otop(tc_fun(_u11706, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11706, _u11707, _u11708), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11706, tc_HOL_Obool)), _u11709), _u11710)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11707, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11706, _u11707, _u11708), _u11709)), hAPP(c_Set_Oimage(_u11706, _u11707, _u11708), _u11710))) )).
% 20.36/20.62 cnf(matrix-5626, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11711), _u11712)) | ( hAPP(c_Finite__Set_Ocard(_u11713), hAPP(c_Set_Oimage(_u11711, _u11713, _u11714), _u11712)) != hAPP(c_Finite__Set_Ocard(_u11711), _u11712)) | c_Fun_Oinj__on(_u11711, _u11713, _u11714, _u11712) )).
% 20.36/20.62 cnf(matrix-5627, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11715), _u11716)) | ~c_Fun_Oinj__on(_u11715, _u11717, _u11718, _u11716) | ( hAPP(c_Finite__Set_Ocard(_u11717), hAPP(c_Set_Oimage(_u11715, _u11717, _u11718), _u11716)) = hAPP(c_Finite__Set_Ocard(_u11715), _u11716)) )).
% 20.36/20.62 cnf(matrix-5628, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11715), _u11716)) | ( hAPP(c_Finite__Set_Ocard(_u11717), hAPP(c_Set_Oimage(_u11715, _u11717, _u11718), _u11716)) != hAPP(c_Finite__Set_Ocard(_u11715), _u11716)) | c_Fun_Oinj__on(_u11715, _u11717, _u11718, _u11716) )).
% 20.36/20.62 cnf(matrix-5629, plain, ( ~c_Fun_Oinj__on(_u11719, _u11720, _u11721, _u11722) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11719, tc_HOL_Obool)), _u11723), _u11722)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11719, tc_HOL_Obool)), _u11724), _u11722)) | ( hAPP(c_Set_Oimage(_u11719, _u11720, _u11721), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11719, tc_HOL_Obool)), _u11723), _u11724)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11720, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11719, _u11720, _u11721), _u11723)), hAPP(c_Set_Oimage(_u11719, _u11720, _u11721), _u11724))) )).
% 20.36/20.62 cnf(matrix-5630, plain, ( ~c_Fun_Oinj__on(_u11725, _u11726, _u11727, c_Orderings_Otop__class_Otop(tc_fun(_u11725, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11725, _u11726, _u11727), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11725, tc_HOL_Obool)), _u11728), _u11729)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11726, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11725, _u11726, _u11727), _u11728)), hAPP(c_Set_Oimage(_u11725, _u11726, _u11727), _u11729))) )).
% 20.36/20.62 cnf(matrix-5631, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u11730), hAPP(c_Set_Oimage(_u11731, _u11730, _u11732), _u11733))), hAPP(c_Finite__Set_Ocard(_u11731), _u11733))) | ~c_Fun_Oinj__on(_u11731, _u11730, _u11732, _u11733) )).
% 20.36/20.62 cnf(matrix-5632, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11734), hAPP(c_Set_Ovimage(_u11734, _u11735, _u11736), _u11737))) | ( hAPP(c_Set_Oimage(_u11734, _u11735, _u11736), c_Orderings_Otop__class_Otop(tc_fun(_u11734, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u11735, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11735), _u11737)) )).
% 20.36/20.62 cnf(matrix-5633, plain, ( ~class_Orderings_Oord(_u11738) | ~hBOOL(hAPP(hAPP(c_member(_u11738), _u11739), hAPP(c_SetInterval_Oord__class_OatLeast(_u11738), _u11740))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11738), _u11740), _u11739)) )).
% 20.36/20.62 cnf(matrix-5634, plain, ( ~class_Orderings_Oord(_u11738) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11738), _u11740), _u11739)) | hBOOL(hAPP(hAPP(c_member(_u11738), _u11739), hAPP(c_SetInterval_Oord__class_OatLeast(_u11738), _u11740))) )).
% 20.36/20.62 cnf(matrix-5635, plain, ( ( hAPP(c_Set_Oimage(_u11741, _u11742, _u11743), c_Orderings_Otop__class_Otop(tc_fun(_u11741, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u11742, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11742, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11742, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11741, _u11742, _u11743), _u11744))), hAPP(c_Set_Oimage(_u11741, _u11742, _u11743), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11741, tc_HOL_Obool)), _u11744)))) )).
% 20.36/20.62 cnf(matrix-5636, plain, ( ( hAPP(c_Set_Oimage(_u11745, _u11746, _u11747), c_Orderings_Otop__class_Otop(tc_fun(_u11745, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u11746, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11745, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u11745, _u11746, _u11747), _u11748)), _u11749)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11746, tc_HOL_Obool)), _u11748), hAPP(c_Set_Oimage(_u11745, _u11746, _u11747), _u11749))) )).
% 20.36/20.62 cnf(matrix-5637, plain, ( ( hAPP(c_Set_Oimage(_u11750, _u11751, _u11752), hAPP(c_Set_Ovimage(_u11750, _u11751, _u11752), _u11753)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11751, tc_HOL_Obool)), _u11753), hAPP(c_Set_Oimage(_u11750, _u11751, _u11752), c_Orderings_Otop__class_Otop(tc_fun(_u11750, tc_HOL_Obool))))) )).
% 20.36/20.62 cnf(matrix-5638, plain, ( ~c_Fun_Oinj__on(_u11754, _u11755, _u11756, c_Orderings_Otop__class_Otop(tc_fun(_u11754, tc_HOL_Obool))) | ( hAPP(c_Set_Ovimage(_u11754, _u11755, _u11756), hAPP(c_Set_Oimage(_u11754, _u11755, _u11756), _u11757)) = _u11757) )).
% 20.36/20.62 cnf(matrix-5639, plain, ( ~class_Orderings_Oorder(_u11758) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11758, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11758), _u11759)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11758), _u11760))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11758), _u11760), _u11759)) )).
% 20.36/20.62 cnf(matrix-5640, plain, ( ~class_Orderings_Oorder(_u11758) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11758), _u11760), _u11759)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11758, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11758), _u11759)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11758), _u11760))) )).
% 20.36/20.62 cnf(matrix-5641, 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))) )).
% 20.36/20.62 cnf(matrix-5642, plain, ( ~class_Groups_Oordered__ab__group__add(_u11761) | ( hAPP(c_Set_Oimage(_u11761, _u11761, c_Groups_Ouminus__class_Ouminus(_u11761)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u11761, _u11762, _u11763)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11761, hAPP(c_Groups_Ouminus__class_Ouminus(_u11761), _u11763)), hAPP(c_Groups_Ouminus__class_Ouminus(_u11761), _u11762))) )).
% 20.36/20.62 cnf(matrix-5643, plain, ( ~class_Groups_Oordered__ab__group__add(_u11764) | ( hAPP(c_Set_Oimage(_u11764, _u11764, c_Groups_Ouminus__class_Ouminus(_u11764)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11764, _u11765), _u11766)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u11764, hAPP(c_Groups_Ouminus__class_Ouminus(_u11764), _u11766), hAPP(c_Groups_Ouminus__class_Ouminus(_u11764), _u11765))) )).
% 20.36/20.62 cnf(matrix-5644, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11767), _u11768), _u11769)) | ( hAPP(c_Set_Oimage(_u11767, _u11770, hAPP(c_COMBK(_u11770, _u11767), _u11771)), _u11769) = hAPP(hAPP(c_Set_Oinsert(_u11770), _u11771), c_Orderings_Obot__class_Obot(tc_fun(_u11770, tc_HOL_Obool)))) )).
% 20.36/20.62 cnf(matrix-5645, plain, ( ( hAPP(c_Set_Oimage(_u11772, _u11773, _u11774), _u11775) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11772, tc_fun(_u11773, tc_HOL_Obool)), _u11775), hAPP(hAPP(c_COMBC(_u11772, tc_fun(_u11773, tc_HOL_Obool), tc_fun(_u11773, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u11773, tc_fun(tc_fun(_u11773, tc_HOL_Obool), tc_fun(_u11773, tc_HOL_Obool)), _u11772), c_Set_Oinsert(_u11773)), _u11774)), c_Orderings_Obot__class_Obot(tc_fun(_u11773, tc_HOL_Obool))))) )).
% 20.36/20.62 cnf(matrix-5646, plain, ( ~class_Groups_Ocomm__monoid__add(_u11776) | ~class_Groups_Ocomm__monoid__mult(_u11776) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11776), _u11777), _u11778) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u11776), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11776, tc_Int_Oint), _u11777), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u11778))) )).
% 20.36/20.62 cnf(matrix-5647, plain, ( ~class_Orderings_Olinorder(_u11779) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11779, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11779), _u11780)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u11779), _u11780)) )).
% 20.36/20.62 cnf(matrix-5648, plain, ( ~class_Orderings_Olinorder(_u11781) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11781, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11781), _u11782)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u11781), _u11782)) )).
% 20.36/20.62 cnf(matrix-5649, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u11784)) | 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)), _u11784))) )).
% 20.36/20.62 cnf(matrix-5650, 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)), _u11785))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u11785)) )).
% 20.36/20.62 cnf(matrix-5651, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u11786) = 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)), _u11786))) )).
% 20.36/20.62 cnf(matrix-5652, 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)))) )).
% 20.36/20.62 cnf(matrix-5653, plain, ( ~c_Fun_Oinj__on(_u11787, _u11788, _u11789, _u11790) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11788, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11787, _u11788, _u11789), _u11790)), _u11791)) | ~c_Fun_Oinj__on(_u11788, _u11787, _u11792, _u11791) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11787, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11788, _u11787, _u11792), _u11791)), _u11790)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11787), _u11790)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11788), _u11791)) | ( hAPP(c_Finite__Set_Ocard(_u11787), _u11790) = hAPP(c_Finite__Set_Ocard(_u11788), _u11791)) )).
% 20.36/20.62 cnf(matrix-5654, plain, ( ~c_Fun_Oinj__on(_u11793, _u11794, _u11795, c_Orderings_Otop__class_Otop(tc_fun(_u11793, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11794, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11793, _u11794, _u11795), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11793, tc_HOL_Obool)), _u11796))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11794, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11793, _u11794, _u11795), _u11796)))) )).
% 20.36/20.62 cnf(matrix-5655, plain, ( ~c_Fun_Oinj__on(_u11797, _u11798, _u11799, c_Orderings_Otop__class_Otop(tc_fun(_u11797, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11798, tc_HOL_Obool)), _u11800), hAPP(c_Set_Oimage(_u11797, _u11798, _u11799), _u11801))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11797, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u11797, _u11798, _u11799), _u11800)), _u11801)) )).
% 20.36/20.62 cnf(matrix-5656, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11802), _u11803)) | ( hAPP(c_Set_Oimage(_u11802, _u11804, _u11805), _u11803) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(_u11804, tc_HOL_Obool), _u11802, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11804, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u11802, tc_fun(_u11804, tc_HOL_Obool), tc_fun(_u11804, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u11804, tc_fun(tc_fun(_u11804, tc_HOL_Obool), tc_fun(_u11804, tc_HOL_Obool)), _u11802), c_Set_Oinsert(_u11804)), _u11805)), c_Orderings_Obot__class_Obot(tc_fun(_u11804, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(_u11804, tc_HOL_Obool))), _u11803)) )).
% 20.36/20.62 cnf(matrix-5657, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11806)) = 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), _u11806)))) )).
% 20.36/20.62 cnf(matrix-5658, plain, ( ~class_Orderings_Olinorder(_u11807) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11807), _u11808), _u11809)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11807, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11807, _u11808), _u11809)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11807), _u11809)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u11807), _u11808)) )).
% 20.36/20.62 cnf(matrix-5659, plain, ( ~class_Orderings_Oorder(_u11810) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11810, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11810, _u11811), _u11812)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11810), _u11812)) = c_Orderings_Obot__class_Obot(tc_fun(_u11810, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5660, plain, ( ~class_Orderings_Olinorder(_u11813) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11813, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11813, _u11814, _u11815)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11813), _u11816)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11813, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11813), _u11814), _u11816), _u11815)) )).
% 20.36/20.62 cnf(matrix-5661, plain, ( ~class_Orderings_Olinorder(_u11817) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11817, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11817), _u11818)), c_SetInterval_Oord__class_OatLeastAtMost(_u11817, _u11819, _u11820)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11817, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11817), _u11818), _u11819), _u11820)) )).
% 20.36/20.62 cnf(matrix-5662, plain, ( ~c_Fun_Oinj__on(_u11826, _u11828, _u11830, hAPP(hAPP(c_Set_Oinsert(_u11826), _u11832), _u11834)) | c_Fun_Oinj__on(_u11826, _u11828, _u11830, _u11834) )).
% 20.36/20.62 cnf(matrix-5663, plain, ( ~c_Fun_Oinj__on(_u11826, _u11828, _u11830, hAPP(hAPP(c_Set_Oinsert(_u11826), _u11832), _u11834)) | ~hBOOL(hAPP(hAPP(c_member(_u11828), hAPP(_u11830, _u11832)), hAPP(c_Set_Oimage(_u11826, _u11828, _u11830), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11826, tc_HOL_Obool)), _u11834), hAPP(hAPP(c_Set_Oinsert(_u11826), _u11832), c_Orderings_Obot__class_Obot(tc_fun(_u11826, tc_HOL_Obool))))))) )).
% 20.36/20.62 cnf(matrix-5664, plain, ( ~c_Fun_Oinj__on(_u11827, _u11829, _u11831, _u11835) | hBOOL(hAPP(hAPP(c_member(_u11829), hAPP(_u11831, _u11833)), hAPP(c_Set_Oimage(_u11827, _u11829, _u11831), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11827, tc_HOL_Obool)), _u11835), hAPP(hAPP(c_Set_Oinsert(_u11827), _u11833), c_Orderings_Obot__class_Obot(tc_fun(_u11827, tc_HOL_Obool))))))) | c_Fun_Oinj__on(_u11827, _u11829, _u11831, hAPP(hAPP(c_Set_Oinsert(_u11827), _u11833), _u11835)) )).
% 20.36/20.62 cnf(matrix-5665, 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))) )).
% 20.36/20.62 cnf(matrix-5666, plain, ( ~c_Fun_Oinj__on(_u11841, _u11843, _u11845, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11841, tc_HOL_Obool)), _u11847), _u11849)) | c_Fun_Oinj__on(_u11841, _u11843, _u11845, _u11847) )).
% 20.36/20.62 cnf(matrix-5667, plain, ( ~c_Fun_Oinj__on(_u11841, _u11843, _u11845, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11841, tc_HOL_Obool)), _u11847), _u11849)) | c_Fun_Oinj__on(_u11841, _u11843, _u11845, _u11849) )).
% 20.36/20.62 cnf(matrix-5668, plain, ( ~c_Fun_Oinj__on(_u11841, _u11843, _u11845, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11841, tc_HOL_Obool)), _u11847), _u11849)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11843, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11841, _u11843, _u11845), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11841, tc_HOL_Obool)), _u11847), _u11849))), hAPP(c_Set_Oimage(_u11841, _u11843, _u11845), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11841, tc_HOL_Obool)), _u11849), _u11847))) = c_Orderings_Obot__class_Obot(tc_fun(_u11843, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5669, plain, ( ~c_Fun_Oinj__on(_u11842, _u11844, _u11846, _u11848) | ~c_Fun_Oinj__on(_u11842, _u11844, _u11846, _u11850) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11844, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11842, _u11844, _u11846), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11842, tc_HOL_Obool)), _u11848), _u11850))), hAPP(c_Set_Oimage(_u11842, _u11844, _u11846), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11842, tc_HOL_Obool)), _u11850), _u11848))) != c_Orderings_Obot__class_Obot(tc_fun(_u11844, tc_HOL_Obool))) | c_Fun_Oinj__on(_u11842, _u11844, _u11846, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11842, tc_HOL_Obool)), _u11848), _u11850)) )).
% 20.36/20.62 cnf(matrix-5670, plain, ( ~class_Orderings_Oorder(_u11851) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11851, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11851, _u11852, _u11853)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11851), _u11853)) = c_Orderings_Obot__class_Obot(tc_fun(_u11851, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5671, plain, ( ~c_Fun_Oinj__on(_u11854, _u11855, _u11856, _u11857) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11855, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11854, _u11855, _u11856), _u11857)), _u11858)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11855), _u11858)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u11854), _u11857)), hAPP(c_Finite__Set_Ocard(_u11855), _u11858))) )).
% 20.36/20.62 cnf(matrix-5672, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11861), _u11862)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11863), _u11864)) | ~c_Fun_Oinj__on(_u11861, _u11863, _u11859, _u11862) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11863, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11861, _u11863, _u11859), _u11862)), _u11864)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u11861), _u11862)), hAPP(c_Finite__Set_Ocard(_u11863), _u11864))) )).
% 20.36/20.62 cnf(matrix-5673, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11861), _u11862)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11863), _u11864)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u11861), _u11862)), hAPP(c_Finite__Set_Ocard(_u11863), _u11864))) | c_Fun_Oinj__on(_u11861, _u11863, skolem269(_u11864, _u11863, _u11862, _u11861), _u11862) )).
% 20.36/20.62 cnf(matrix-5674, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11861), _u11862)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11863), _u11864)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u11861), _u11862)), hAPP(c_Finite__Set_Ocard(_u11863), _u11864))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11863, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11861, _u11863, skolem269(_u11864, _u11863, _u11862, _u11861)), _u11862)), _u11864)) )).
% 20.36/20.62 cnf(matrix-5675, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11865)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), _u11865)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u11865), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 20.36/20.62 cnf(matrix-5676, plain, ( ~class_Groups_Olinordered__ab__group__add(_u11866) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11866), _u11867)) | ( _u11867 = c_Orderings_Obot__class_Obot(tc_fun(_u11866, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u11866), c_Big__Operators_Olinorder__class_OMin(_u11866, _u11867)) = c_Big__Operators_Olinorder__class_OMax(_u11866, hAPP(c_Set_Oimage(_u11866, _u11866, c_Groups_Ouminus__class_Ouminus(_u11866)), _u11867))) )).
% 20.36/20.62 cnf(matrix-5677, plain, ( ~class_Groups_Olinordered__ab__group__add(_u11868) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11868), _u11869)) | ( _u11869 = c_Orderings_Obot__class_Obot(tc_fun(_u11868, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u11868), c_Big__Operators_Olinorder__class_OMax(_u11868, _u11869)) = c_Big__Operators_Olinorder__class_OMin(_u11868, hAPP(c_Set_Oimage(_u11868, _u11868, c_Groups_Ouminus__class_Ouminus(_u11868)), _u11869))) )).
% 20.36/20.62 cnf(matrix-5678, plain, ( ~c_Nat__Transfer_Ois__nat(_u11870) | ~c_Nat__Transfer_Ois__nat(_u11871) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u11870, _u11871) = 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, _u11870), hAPP(c_Int_Onat, _u11871)))) )).
% 20.36/20.62 cnf(matrix-5679, plain, ( ~c_Fun_Oinj__on(_u11873, _u11874, _u11875, _u11876) | ~hBOOL(hAPP(hAPP(c_member(_u11877), _u11880), _u11878)) | ( hAPP(c_Set_Oimage(_u11873, _u11874, _u11875), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11877, tc_fun(_u11873, tc_HOL_Obool)), _u11878), _u11879)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11877, tc_fun(_u11874, tc_HOL_Obool)), _u11878), hAPP(hAPP(c_COMBB(tc_fun(_u11873, tc_HOL_Obool), tc_fun(_u11874, tc_HOL_Obool), _u11877), c_Set_Oimage(_u11873, _u11874, _u11875)), _u11879))) | hBOOL(hAPP(hAPP(c_member(_u11877), skolem270(_u11880, _u11879, _u11878, _u11877, _u11876, _u11875, _u11874, _u11873)), _u11878)) )).
% 20.36/20.62 cnf(matrix-5680, plain, ( ~c_Fun_Oinj__on(_u11873, _u11874, _u11875, _u11876) | ~hBOOL(hAPP(hAPP(c_member(_u11877), _u11880), _u11878)) | ( hAPP(c_Set_Oimage(_u11873, _u11874, _u11875), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11877, tc_fun(_u11873, tc_HOL_Obool)), _u11878), _u11879)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11877, tc_fun(_u11874, tc_HOL_Obool)), _u11878), hAPP(hAPP(c_COMBB(tc_fun(_u11873, tc_HOL_Obool), tc_fun(_u11874, tc_HOL_Obool), _u11877), c_Set_Oimage(_u11873, _u11874, _u11875)), _u11879))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11873, tc_HOL_Obool)), hAPP(_u11879, skolem270(_u11880, _u11879, _u11878, _u11877, _u11876, _u11875, _u11874, _u11873))), _u11876)) )).
% 20.36/20.62 cnf(matrix-5681, plain, ( ~class_Orderings_Olinorder(_u11881) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11881), _u11882), _u11883)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11881, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11881, _u11882, _u11883)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11881), _u11883)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11881), _u11882)) )).
% 20.36/20.62 cnf(matrix-5682, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11890), _u11892), _u11894)) | ( hAPP(c_Set_Oimage(_u11890, _u11896, c_Fun_Ofun__upd(_u11890, _u11896, _u11898, _u11892, _u11900)), _u11894) = hAPP(hAPP(c_Set_Oinsert(_u11896), _u11900), hAPP(c_Set_Oimage(_u11890, _u11896, _u11898), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11890, tc_HOL_Obool)), _u11894), hAPP(hAPP(c_Set_Oinsert(_u11890), _u11892), c_Orderings_Obot__class_Obot(tc_fun(_u11890, tc_HOL_Obool))))))) )).
% 20.36/20.62 cnf(matrix-5683, plain, ( hBOOL(hAPP(hAPP(c_member(_u11891), _u11893), _u11895)) | ( hAPP(c_Set_Oimage(_u11891, _u11897, c_Fun_Ofun__upd(_u11891, _u11897, _u11899, _u11893, _u11901)), _u11895) = hAPP(c_Set_Oimage(_u11891, _u11897, _u11899), _u11895)) )).
% 20.36/20.62 cnf(matrix-5684, plain, ( ( c_Fun_Ofun__upd(_u11902, _u11903, _u11904, _u11905, hAPP(_u11904, _u11905)) = _u11904) )).
% 20.36/20.62 cnf(matrix-5685, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11906, _u11907)), hAPP(hAPP(c_Product__Type_OPair(_u11906, _u11907), _u11908), _u11909)), _u11910)) | hBOOL(hAPP(hAPP(c_member(_u11911), hAPP(hAPP(_u11912, _u11908), _u11909)), hAPP(c_Set_Oimage(tc_prod(_u11906, _u11907), _u11911, hAPP(c_Product__Type_Oprod_Oprod__case(_u11906, _u11907, _u11911), _u11912)), _u11910))) )).
% 20.36/20.62 cnf(matrix-5686, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11913)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u11913)) )).
% 20.36/20.62 cnf(matrix-5687, plain, ( ( hAPP(c_Set_Oimage(_u11915, tc_fun(_u11915, tc_HOL_Obool), _u11914), _u11916) != hAPP(c_Set_OPow(_u11915), _u11916)) )).
% 20.36/20.62 cnf(matrix-5688, plain, ( ( hAPP(_u11917, _u11918) != _u11919) | ( c_Fun_Ofun__upd(_u11920, _u11921, _u11917, _u11918, _u11919) = _u11917) )).
% 20.36/20.62 cnf(matrix-5689, plain, ( ( _u11922 = _u11923) | ( hAPP(c_Fun_Ofun__upd(_u11924, _u11925, _u11926, _u11923, _u11927), _u11922) = hAPP(_u11926, _u11922)) )).
% 20.36/20.62 cnf(matrix-5690, plain, ( ( _u11928 = _u11929) | ( c_Fun_Ofun__upd(_u11930, _u11931, c_Fun_Ofun__upd(_u11930, _u11931, _u11932, _u11928, _u11933), _u11929, _u11934) = c_Fun_Ofun__upd(_u11930, _u11931, c_Fun_Ofun__upd(_u11930, _u11931, _u11932, _u11929, _u11934), _u11928, _u11933)) )).
% 20.36/20.62 cnf(matrix-5691, plain, ( ( _u11941 != _u11943) | ( hAPP(c_Fun_Ofun__upd(_u11945, _u11947, _u11949, _u11943, _u11951), _u11941) = _u11951) )).
% 20.36/20.62 cnf(matrix-5692, plain, ( ( _u11942 = _u11944) | ( hAPP(c_Fun_Ofun__upd(_u11946, _u11948, _u11950, _u11944, _u11952), _u11942) = hAPP(_u11950, _u11942)) )).
% 20.36/20.62 cnf(matrix-5693, plain, ( ( hAPP(c_Fun_Ofun__upd(_u11953, _u11954, _u11955, _u11956, _u11957), _u11956) = _u11957) )).
% 20.36/20.62 cnf(matrix-5694, plain, ( ( c_Fun_Ofun__upd(_u11958, _u11959, c_Fun_Ofun__upd(_u11958, _u11959, _u11960, _u11961, _u11962), _u11961, _u11963) = c_Fun_Ofun__upd(_u11958, _u11959, _u11960, _u11961, _u11963)) )).
% 20.36/20.62 cnf(matrix-5695, plain, ( ( hAPP(_u11973, _u11975) = _u11977) | ( c_Fun_Ofun__upd(_u11969, _u11971, _u11973, _u11975, _u11977) != _u11973) )).
% 20.36/20.62 cnf(matrix-5696, plain, ( ( hAPP(_u11974, _u11976) != _u11978) | ( c_Fun_Ofun__upd(_u11970, _u11972, _u11974, _u11976, _u11978) = _u11974) )).
% 20.36/20.62 cnf(matrix-5697, plain, ( ( _u11985 != _u11987) | ( hAPP(c_Fun_Ofun__upd(_u11989, _u11991, _u11993, _u11987, _u11995), _u11985) = _u11995) )).
% 20.36/20.62 cnf(matrix-5698, plain, ( ( _u11986 = _u11988) | ( hAPP(c_Fun_Ofun__upd(_u11990, _u11992, _u11994, _u11988, _u11996), _u11986) = hAPP(_u11994, _u11986)) )).
% 20.36/20.62 cnf(matrix-5699, plain, ( ~class_Orderings_Olinorder(_u11997) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11997), _u11998) != hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11997), _u11999)) | ( _u11998 = _u11999) )).
% 20.36/20.62 cnf(matrix-5700, plain, ( ~class_Orderings_Olinorder(_u11997) | ( _u11998 != _u11999) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11997), _u11998) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11997), _u11999)) )).
% 20.36/20.62 cnf(matrix-5701, plain, ( ( hAPP(c_Relation_OField(_u12000), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u12000, _u12000), tc_HOL_Obool), _u12001)) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u12000, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_fun(tc_prod(_u12000, _u12000), tc_HOL_Obool), tc_fun(_u12000, tc_HOL_Obool), c_Relation_OField(_u12000)), _u12001))) )).
% 20.36/20.62 cnf(matrix-5702, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12002, tc_fun(_u12003, tc_HOL_Obool)), _u12004), _u12005) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u12003, tc_HOL_Obool), hAPP(c_Set_Oimage(_u12002, tc_fun(_u12003, tc_HOL_Obool), _u12005), _u12004))) )).
% 20.36/20.62 cnf(matrix-5703, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u12006, tc_HOL_Obool), hAPP(c_Set_Oimage(_u12007, tc_fun(_u12006, tc_HOL_Obool), _u12008), _u12009)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12007, tc_fun(_u12006, tc_HOL_Obool)), _u12009), _u12008)) )).
% 20.36/20.62 cnf(matrix-5704, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u12010, tc_HOL_Obool), hAPP(c_Set_Oimage(_u12011, tc_fun(_u12010, tc_HOL_Obool), _u12012), _u12013)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u12011, tc_fun(_u12010, tc_HOL_Obool)), _u12013), _u12012)) )).
% 20.36/20.62 cnf(matrix-5705, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u12014, tc_fun(_u12015, tc_HOL_Obool)), _u12016), _u12017) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u12015, tc_HOL_Obool), hAPP(c_Set_Oimage(_u12014, tc_fun(_u12015, tc_HOL_Obool), _u12017), _u12016))) )).
% 20.36/20.62 cnf(matrix-5706, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u12018), _u12019) = 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)), _u12018)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u12019)))) )).
% 20.36/20.62 cnf(matrix-5707, 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)), _u12020)) = _u12020) )).
% 20.36/20.62 cnf(matrix-5708, plain, ( ~class_Orderings_Oord(_u12021) | ~hBOOL(hAPP(hAPP(c_member(_u12021), _u12022), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12021), _u12023))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12021), _u12023), _u12022)) )).
% 20.36/20.62 cnf(matrix-5709, plain, ( ~class_Orderings_Oord(_u12021) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12021), _u12023), _u12022)) | hBOOL(hAPP(hAPP(c_member(_u12021), _u12022), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12021), _u12023))) )).
% 20.36/20.62 cnf(matrix-5710, plain, ( ~class_Orderings_Olinorder(_u12024) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12024, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12024), _u12025)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12024), _u12026))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12024), _u12026), _u12025)) )).
% 20.36/20.62 cnf(matrix-5711, plain, ( ~class_Orderings_Olinorder(_u12024) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12024), _u12026), _u12025)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12024, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12024), _u12025)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12024), _u12026))) )).
% 20.36/20.62 cnf(matrix-5712, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12027, tc_fun(_u12028, tc_HOL_Obool)), _u12029), hAPP(hAPP(c_COMBS(_u12027, tc_fun(_u12028, tc_HOL_Obool), tc_fun(_u12028, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12028, tc_HOL_Obool), tc_fun(tc_fun(_u12028, tc_HOL_Obool), tc_fun(_u12028, tc_HOL_Obool)), _u12027), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12028, tc_HOL_Obool))), _u12030)), _u12031)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12028, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u12028, tc_HOL_Obool), hAPP(c_Set_Oimage(_u12027, tc_fun(_u12028, tc_HOL_Obool), _u12030), _u12029))), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u12028, tc_HOL_Obool), hAPP(c_Set_Oimage(_u12027, tc_fun(_u12028, tc_HOL_Obool), _u12031), _u12029)))) )).
% 20.36/20.62 cnf(matrix-5713, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u12032, tc_fun(_u12033, tc_HOL_Obool)), _u12034), hAPP(hAPP(c_COMBS(_u12032, tc_fun(_u12033, tc_HOL_Obool), tc_fun(_u12033, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12033, tc_HOL_Obool), tc_fun(tc_fun(_u12033, tc_HOL_Obool), tc_fun(_u12033, tc_HOL_Obool)), _u12032), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12033, tc_HOL_Obool))), _u12035)), _u12036)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12033, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u12033, tc_HOL_Obool), hAPP(c_Set_Oimage(_u12032, tc_fun(_u12033, tc_HOL_Obool), _u12035), _u12034))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u12033, tc_HOL_Obool), hAPP(c_Set_Oimage(_u12032, tc_fun(_u12033, tc_HOL_Obool), _u12036), _u12034)))) )).
% 20.36/20.62 cnf(matrix-5714, plain, ( ( hAPP(c_Set_OPow(_u12037), hAPP(hAPP(c_Set_Oinsert(_u12037), _u12038), _u12039)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u12037, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u12037), _u12039)), hAPP(c_Set_Oimage(tc_fun(_u12037, tc_HOL_Obool), tc_fun(_u12037, tc_HOL_Obool), hAPP(c_Set_Oinsert(_u12037), _u12038)), hAPP(c_Set_OPow(_u12037), _u12039)))) )).
% 20.36/20.62 cnf(matrix-5715, plain, ( ~class_Orderings_Olinorder(_u12040) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12040, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u12040), _u12041)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12040), _u12041)) )).
% 20.36/20.62 cnf(matrix-5716, plain, ( ~class_Orderings_Olinorder(_u12042) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12042, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12042), _u12043)) = hAPP(c_SetInterval_Oord__class_OatMost(_u12042), _u12043)) )).
% 20.36/20.62 cnf(matrix-5717, 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)))) )).
% 20.36/20.62 cnf(matrix-5718, 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))) )).
% 20.36/20.62 cnf(matrix-5719, plain, ( ~c_Fun_Oinj__on(_u12044, _u12045, _u12046, _u12047) | hBOOL(hAPP(hAPP(c_member(_u12045), _u12048), hAPP(c_Set_Oimage(_u12044, _u12045, _u12046), _u12047))) | c_Fun_Oinj__on(_u12044, _u12045, c_Fun_Ofun__upd(_u12044, _u12045, _u12046, _u12049, _u12048), _u12047) )).
% 20.36/20.62 cnf(matrix-5720, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12050, _u12051) = 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), _u12050), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u12051)))) )).
% 20.36/20.62 cnf(matrix-5721, 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)), _u12052)), 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), _u12053), _u12052))) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u12052), _u12053)) )).
% 20.36/20.62 cnf(matrix-5722, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u12054), _u12055) = 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)), _u12054)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u12055)))) )).
% 20.36/20.62 cnf(matrix-5723, plain, ( ~class_Orderings_Oorder(_u12056) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12056, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12056, _u12057, _u12058)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12056), _u12058)) = c_Orderings_Obot__class_Obot(tc_fun(_u12056, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5724, plain, ( ~class_Orderings_Olinorder(_u12059) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12059), _u12060), _u12061)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12059, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12059, _u12060, _u12061)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12059), _u12061)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12059), _u12060)) )).
% 20.36/20.62 cnf(matrix-5725, plain, ( ~class_Groups_Oordered__ab__group__add(_u12062) | ( hAPP(c_Set_Oimage(_u12062, _u12062, c_Groups_Ouminus__class_Ouminus(_u12062)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12062), _u12063)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u12062), hAPP(c_Groups_Ouminus__class_Ouminus(_u12062), _u12063))) )).
% 20.36/20.62 cnf(matrix-5726, plain, ( ~class_Groups_Oordered__ab__group__add(_u12064) | ( hAPP(c_Set_Oimage(_u12064, _u12064, c_Groups_Ouminus__class_Ouminus(_u12064)), hAPP(c_SetInterval_Oord__class_OlessThan(_u12064), _u12065)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12064), hAPP(c_Groups_Ouminus__class_Ouminus(_u12064), _u12065))) )).
% 20.36/20.62 cnf(matrix-5727, plain, ( ~class_Orderings_Oorder(_u12066) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12066, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12066, _u12067, _u12068)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12066), _u12068)) = c_Orderings_Obot__class_Obot(tc_fun(_u12066, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5728, plain, ( ( hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12069)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u12069)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12069)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 20.36/20.62 cnf(matrix-5729, plain, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u12070) = 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), _u12070)))) )).
% 20.36/20.62 cnf(matrix-5730, plain, ( ~class_Orderings_Olinorder(_u12071) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12071, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u12071), _u12072), c_Orderings_Obot__class_Obot(tc_fun(_u12071, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12071), _u12072)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u12071), _u12072)) )).
% 20.36/20.62 cnf(matrix-5731, 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)))) )).
% 20.36/20.62 cnf(matrix-5732, plain, ( ~class_Orderings_Olinorder(_u12073) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12073), _u12074), _u12075)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12073, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12073, _u12074, _u12075)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12073), _u12075)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u12073), _u12074)) )).
% 20.36/20.62 cnf(matrix-5733, plain, ( ~class_Groups_Ocomm__monoid__add(_u12076) | ~class_Groups_Ocomm__monoid__mult(_u12076) | ~c_Nat__Transfer_Onat__set(_u12077) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u12076), _u12078), _u12077) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u12076), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u12076, tc_Nat_Onat), _u12078), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u12077))) )).
% 20.36/20.62 cnf(matrix-5734, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12080), _u12081)) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u12082, _u12083, hAPP(c_Set_Oimage(_u12080, tc_Hoare__Mirabelle_Otriple(_u12082), hAPP(hAPP(c_COMBS(_u12080, tc_fun(_u12082, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u12082)), hAPP(hAPP(c_COMBS(_u12080, tc_Com_Ocom, tc_fun(tc_fun(_u12082, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u12082))), hAPP(hAPP(c_COMBB(tc_fun(_u12082, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u12082, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u12082))), _u12080), c_Hoare__Mirabelle_Otriple_Otriple(_u12082)), _u12084)), _u12085)), _u12086)), _u12081)) | c_Hoare__Mirabelle_Ohoare__derivs(_u12082, _u12083, hAPP(c_Set_Oimage(_u12080, tc_Hoare__Mirabelle_Otriple(_u12082), hAPP(hAPP(c_COMBS(_u12080, tc_fun(_u12082, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u12082)), hAPP(hAPP(c_COMBS(_u12080, tc_Com_Ocom, tc_fun(tc_fun(_u12082, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u12082))), hAPP(hAPP(c_COMBB(tc_fun(_u12082, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u12082, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u12082))), _u12080), c_Hoare__Mirabelle_Otriple_Otriple(_u12082)), _u12087)), _u12085)), _u12088)), _u12081)) | c_Hoare__Mirabelle_Ohoare__derivs(_u12082, _u12083, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u12082)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u12082), hAPP(_u12084, skolem271(_u12088, _u12087, _u12086, _u12085, _u12084, _u12083, _u12082, _u12081, _u12080))), hAPP(_u12085, skolem271(_u12088, _u12087, _u12086, _u12085, _u12084, _u12083, _u12082, _u12081, _u12080))), hAPP(_u12086, skolem271(_u12088, _u12087, _u12086, _u12085, _u12084, _u12083, _u12082, _u12081, _u12080)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u12082), tc_HOL_Obool)))) )).
% 20.36/20.62 cnf(matrix-5735, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12080), _u12081)) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u12082, _u12083, hAPP(c_Set_Oimage(_u12080, tc_Hoare__Mirabelle_Otriple(_u12082), hAPP(hAPP(c_COMBS(_u12080, tc_fun(_u12082, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u12082)), hAPP(hAPP(c_COMBS(_u12080, tc_Com_Ocom, tc_fun(tc_fun(_u12082, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u12082))), hAPP(hAPP(c_COMBB(tc_fun(_u12082, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u12082, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u12082))), _u12080), c_Hoare__Mirabelle_Otriple_Otriple(_u12082)), _u12084)), _u12085)), _u12086)), _u12081)) | c_Hoare__Mirabelle_Ohoare__derivs(_u12082, _u12083, hAPP(c_Set_Oimage(_u12080, tc_Hoare__Mirabelle_Otriple(_u12082), hAPP(hAPP(c_COMBS(_u12080, tc_fun(_u12082, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u12082)), hAPP(hAPP(c_COMBS(_u12080, tc_Com_Ocom, tc_fun(tc_fun(_u12082, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u12082))), hAPP(hAPP(c_COMBB(tc_fun(_u12082, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u12082, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u12082))), _u12080), c_Hoare__Mirabelle_Otriple_Otriple(_u12082)), _u12087)), _u12085)), _u12088)), _u12081)) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u12082, _u12083, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u12082)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u12082), hAPP(_u12087, skolem271(_u12088, _u12087, _u12086, _u12085, _u12084, _u12083, _u12082, _u12081, _u12080))), hAPP(_u12085, skolem271(_u12088, _u12087, _u12086, _u12085, _u12084, _u12083, _u12082, _u12081, _u12080))), hAPP(_u12088, skolem271(_u12088, _u12087, _u12086, _u12085, _u12084, _u12083, _u12082, _u12081, _u12080)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u12082), tc_HOL_Obool)))) )).
% 20.36/20.62 cnf(matrix-5736, plain, ( ~c_Fun_Oinj__on(_u12089, _u12090, _u12091, _u12092) | ~hBOOL(hAPP(hAPP(c_member(_u12090), _u12093), hAPP(c_Set_Oimage(_u12089, _u12090, _u12091), _u12092))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12089, tc_HOL_Obool)), _u12092), _u12094)) | hBOOL(hAPP(hAPP(c_member(_u12089), hAPP(c_Fun_Othe__inv__into(_u12089, _u12090, _u12092, _u12091), _u12093)), _u12094)) )).
% 20.36/20.62 cnf(matrix-5737, plain, ( ~c_Nat__Transfer_Onat__set(_u12095) | ~c_Nat__Transfer_Onat__set(_u12096) | ( _u12095 != _u12096) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u12095) = hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u12096)) )).
% 20.36/20.62 cnf(matrix-5738, plain, ( ~c_Nat__Transfer_Onat__set(_u12095) | ~c_Nat__Transfer_Onat__set(_u12096) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u12095) != hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u12096)) | ( _u12095 = _u12096) )).
% 20.36/20.62 cnf(matrix-5739, plain, ( ~c_Nat__Transfer_Onat__set(_u12097) | ~c_Nat__Transfer_Onat__set(_u12098) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u12097), _u12098)) )).
% 20.36/20.62 cnf(matrix-5740, plain, ( ~c_Nat__Transfer_Onat__set(_u12099) | ~c_Nat__Transfer_Onat__set(_u12100) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u12099), _u12100)) )).
% 20.36/20.62 cnf(matrix-5741, plain, ( c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5742, plain, ( ~c_Nat__Transfer_Onat__set(_u12104) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u12101), _u12104)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12101)) )).
% 20.36/20.62 cnf(matrix-5743, plain, ( c_Nat__Transfer_Onat__set(_u12105) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem272(_u12105)), _u12105)) )).
% 20.36/20.62 cnf(matrix-5744, plain, ( c_Nat__Transfer_Onat__set(_u12105) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem272(_u12105))) )).
% 20.36/20.62 cnf(matrix-5745, 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)), _u12106)) )).
% 20.36/20.62 cnf(matrix-5746, plain, ( ~c_Nat__Transfer_Ois__nat(_u12107) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u12107, _u12108)) )).
% 20.36/20.62 cnf(matrix-5747, plain, ( ~c_Nat__Transfer_Onat__set(_u12109) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u12110), _u12109)) | c_Nat__Transfer_Ois__nat(_u12110) )).
% 20.36/20.62 cnf(matrix-5748, plain, ( ~c_Fun_Oinj__on(_u12111, _u12112, _u12113, _u12114) | ( hAPP(_u12113, _u12115) != _u12116) | ~hBOOL(hAPP(hAPP(c_member(_u12111), _u12115), _u12114)) | ( hAPP(c_Fun_Othe__inv__into(_u12111, _u12112, _u12114, _u12113), _u12116) = _u12115) )).
% 20.36/20.62 cnf(matrix-5749, plain, ( ~c_Fun_Oinj__on(_u12117, _u12118, _u12119, _u12120) | ~hBOOL(hAPP(hAPP(c_member(_u12117), _u12121), _u12120)) | ( hAPP(c_Fun_Othe__inv__into(_u12117, _u12118, _u12120, _u12119), hAPP(_u12119, _u12121)) = _u12121) )).
% 20.36/20.62 cnf(matrix-5750, plain, ( ~c_Fun_Oinj__on(_u12122, _u12123, _u12124, _u12125) | c_Fun_Oinj__on(_u12123, _u12122, c_Fun_Othe__inv__into(_u12122, _u12123, _u12125, _u12124), hAPP(c_Set_Oimage(_u12122, _u12123, _u12124), _u12125)) )).
% 20.36/20.62 cnf(matrix-5751, plain, ( ~c_Fun_Oinj__on(_u12126, _u12127, _u12128, _u12129) | ( hAPP(c_Set_Oimage(_u12127, _u12126, c_Fun_Othe__inv__into(_u12126, _u12127, _u12129, _u12128)), hAPP(c_Set_Oimage(_u12126, _u12127, _u12128), _u12129)) = _u12129) )).
% 20.36/20.62 cnf(matrix-5752, plain, ( ~c_Fun_Oinj__on(_u12130, _u12131, _u12132, c_Orderings_Otop__class_Otop(tc_fun(_u12130, tc_HOL_Obool))) | ( hAPP(c_Fun_Othe__inv__into(_u12130, _u12131, c_Orderings_Otop__class_Otop(tc_fun(_u12130, tc_HOL_Obool)), _u12132), hAPP(_u12132, _u12133)) = _u12133) )).
% 20.36/20.62 cnf(matrix-5753, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12134)) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u12134, _u12135)) )).
% 20.36/20.62 cnf(matrix-5754, plain, ( ( hAPP(c_Fun_Othe__inv__into(_u12136, _u12137, _u12138, _u12139), _u12140) = c_HOL_OThe(_u12136, hAPP(hAPP(c_COMBS(_u12136, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12136), c_fconj), hAPP(hAPP(c_COMBC(_u12136, tc_fun(_u12136, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12136)), _u12138))), hAPP(hAPP(c_COMBC(_u12136, _u12137, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u12137, tc_fun(_u12137, tc_HOL_Obool), _u12136), c_fequal), _u12139)), _u12140)))) )).
% 20.36/20.62 cnf(matrix-5755, plain, ( ~c_Nat__Transfer_Onat__set(_u12141) | ~c_Nat__Transfer_Onat__set(_u12142) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u12141), _u12142) = 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), _u12141)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u12142)))) )).
% 20.36/20.62 cnf(matrix-5756, plain, ( ~c_Nat__Transfer_Onat__set(_u12143) | ( 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), _u12143)) = _u12143) )).
% 20.36/20.62 cnf(matrix-5757, plain, ( ~c_Nat__Transfer_Onat__set(_u12144) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u12145), _u12144)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12145)) )).
% 20.36/20.62 cnf(matrix-5758, plain, ( ~c_Nat__Transfer_Onat__set(_u12146) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u12146)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u12146))) )).
% 20.36/20.62 cnf(matrix-5759, plain, ( ~c_Nat__Transfer_Onat__set(_u12146) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u12146))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u12146)) )).
% 20.36/20.62 cnf(matrix-5760, plain, ( ~c_Nat__Transfer_Onat__set(_u12147) | ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), _u12147) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u12147))) )).
% 20.36/20.62 cnf(matrix-5761, plain, ( ~c_Fun_Oinj__on(_u12148, _u12149, _u12150, _u12151) | ~hBOOL(hAPP(hAPP(c_member(_u12149), _u12152), hAPP(c_Set_Oimage(_u12148, _u12149, _u12150), _u12151))) | ( hAPP(_u12150, hAPP(c_Fun_Othe__inv__into(_u12148, _u12149, _u12151, _u12150), _u12152)) = _u12152) )).
% 20.36/20.62 cnf(matrix-5762, plain, ( ~c_Nat__Transfer_Ois__nat(_u12153) | ~c_Nat__Transfer_Onat__set(_u12154) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u12153), _u12154)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u12153)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u12154))) )).
% 20.36/20.62 cnf(matrix-5763, plain, ( ~c_Nat__Transfer_Ois__nat(_u12153) | ~c_Nat__Transfer_Onat__set(_u12154) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u12153)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u12154))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u12153), _u12154)) )).
% 20.36/20.62 cnf(matrix-5764, plain, ( ~c_Nat__Transfer_Onat__set(_u12155) | ~c_Nat__Transfer_Onat__set(_u12156) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u12155), _u12156)) | 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), _u12155)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u12156))) )).
% 20.36/20.62 cnf(matrix-5765, plain, ( ~c_Nat__Transfer_Onat__set(_u12155) | ~c_Nat__Transfer_Onat__set(_u12156) | ~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), _u12155)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u12156))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u12155), _u12156)) )).
% 20.36/20.62 cnf(matrix-5766, plain, ( ~c_Nat__Transfer_Onat__set(_u12157) | ~c_Nat__Transfer_Onat__set(_u12158) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u12157), _u12158)) | 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), _u12157)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u12158))) )).
% 20.36/20.62 cnf(matrix-5767, plain, ( ~c_Nat__Transfer_Onat__set(_u12157) | ~c_Nat__Transfer_Onat__set(_u12158) | ~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), _u12157)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u12158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u12157), _u12158)) )).
% 20.36/20.62 cnf(matrix-5768, plain, ( ~class_Groups_Ocomm__monoid__add(_u12159) | ~class_Groups_Ocomm__monoid__mult(_u12159) | ~c_Nat__Transfer_Onat__set(_u12160) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u12159), _u12161), _u12160) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12159), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u12159, tc_Nat_Onat), _u12161), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u12160))) )).
% 20.36/20.62 cnf(matrix-5769, plain, ( ~c_Nat__Transfer_Onat__set(_u12162) | ~c_Nat__Transfer_Onat__set(_u12163) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u12162), _u12163) = 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), _u12162)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u12163)))) )).
% 20.36/20.62 cnf(matrix-5770, plain, ( ~class_Orderings_Olinorder(_u12166) | ( hAPP(_u12167, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12166), skolem273(_u12168, _u12167, _u12166)), skolem274(_u12168, _u12167, _u12166))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12166), hAPP(_u12167, skolem273(_u12168, _u12167, _u12166))), hAPP(_u12167, skolem274(_u12168, _u12167, _u12166)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12166), _u12168)) | ( _u12168 = c_Orderings_Obot__class_Obot(tc_fun(_u12166, tc_HOL_Obool))) | ( hAPP(_u12167, c_Big__Operators_Olattice_OSup__fin(_u12166, c_Orderings_Oord__class_Omax(_u12166), _u12168)) = c_Big__Operators_Olattice_OSup__fin(_u12166, c_Orderings_Oord__class_Omax(_u12166), hAPP(c_Set_Oimage(_u12166, _u12166, _u12167), _u12168))) )).
% 20.36/20.62 cnf(matrix-5771, plain, ( ~class_Orderings_Olinorder(_u12171) | ( hAPP(_u12172, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12171), skolem275(_u12173, _u12172, _u12171)), skolem276(_u12173, _u12172, _u12171))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12171), hAPP(_u12172, skolem275(_u12173, _u12172, _u12171))), hAPP(_u12172, skolem276(_u12173, _u12172, _u12171)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12171), _u12173)) | ( _u12173 = c_Orderings_Obot__class_Obot(tc_fun(_u12171, tc_HOL_Obool))) | ( hAPP(_u12172, c_Big__Operators_Olattice_OInf__fin(_u12171, c_Orderings_Oord__class_Omin(_u12171), _u12173)) = c_Big__Operators_Olattice_OInf__fin(_u12171, c_Orderings_Oord__class_Omin(_u12171), hAPP(c_Set_Oimage(_u12171, _u12171, _u12172), _u12173))) )).
% 20.36/20.62 cnf(matrix-5772, plain, ( ~class_Orderings_Olinorder(_u12176) | ( hAPP(_u12177, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12176), skolem277(_u12178, _u12177, _u12176)), skolem278(_u12178, _u12177, _u12176))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12176), hAPP(_u12177, skolem277(_u12178, _u12177, _u12176))), hAPP(_u12177, skolem278(_u12178, _u12177, _u12176)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12176), _u12178)) | ( _u12178 = c_Orderings_Obot__class_Obot(tc_fun(_u12176, tc_HOL_Obool))) | ( hAPP(_u12177, c_Big__Operators_Olinorder__class_OMax(_u12176, _u12178)) = c_Big__Operators_Olinorder__class_OMax(_u12176, hAPP(c_Set_Oimage(_u12176, _u12176, _u12177), _u12178))) )).
% 20.36/20.62 cnf(matrix-5773, plain, ( ~class_Orderings_Olinorder(_u12181) | ( hAPP(_u12182, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12181), skolem279(_u12183, _u12182, _u12181)), skolem280(_u12183, _u12182, _u12181))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12181), hAPP(_u12182, skolem279(_u12183, _u12182, _u12181))), hAPP(_u12182, skolem280(_u12183, _u12182, _u12181)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12181), _u12183)) | ( _u12183 = c_Orderings_Obot__class_Obot(tc_fun(_u12181, tc_HOL_Obool))) | ( hAPP(_u12182, c_Big__Operators_Olinorder__class_OMin(_u12181, _u12183)) = c_Big__Operators_Olinorder__class_OMin(_u12181, hAPP(c_Set_Oimage(_u12181, _u12181, _u12182), _u12183))) )).
% 20.36/20.62 cnf(matrix-5774, plain, ( ~class_Lattices_Olattice(_u12186) | ( hAPP(_u12187, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12186), skolem281(_u12188, _u12187, _u12186)), skolem282(_u12188, _u12187, _u12186))) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12186), hAPP(_u12187, skolem281(_u12188, _u12187, _u12186))), hAPP(_u12187, skolem282(_u12188, _u12187, _u12186)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12186), _u12188)) | ( _u12188 = c_Orderings_Obot__class_Obot(tc_fun(_u12186, tc_HOL_Obool))) | ( hAPP(_u12187, c_Big__Operators_Olattice__class_OInf__fin(_u12186, _u12188)) = c_Big__Operators_Olattice__class_OInf__fin(_u12186, hAPP(c_Set_Oimage(_u12186, _u12186, _u12187), _u12188))) )).
% 20.36/20.62 cnf(matrix-5775, plain, ( ~class_Lattices_Olattice(_u12191) | ( hAPP(_u12192, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12191), skolem283(_u12193, _u12192, _u12191)), skolem284(_u12193, _u12192, _u12191))) != hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12191), hAPP(_u12192, skolem283(_u12193, _u12192, _u12191))), hAPP(_u12192, skolem284(_u12193, _u12192, _u12191)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12191), _u12193)) | ( _u12193 = c_Orderings_Obot__class_Obot(tc_fun(_u12191, tc_HOL_Obool))) | ( hAPP(_u12192, c_Big__Operators_Olattice__class_OSup__fin(_u12191, _u12193)) = c_Big__Operators_Olattice__class_OSup__fin(_u12191, hAPP(c_Set_Oimage(_u12191, _u12191, _u12192), _u12193))) )).
% 20.36/20.62 cnf(matrix-5776, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u12196) | ( hAPP(_u12197, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12196), skolem285(_u12198, _u12197, _u12196)), skolem286(_u12198, _u12197, _u12196))) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12196), hAPP(_u12197, skolem285(_u12198, _u12197, _u12196))), hAPP(_u12197, skolem286(_u12198, _u12197, _u12196)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12196), _u12198)) | ( _u12198 = c_Orderings_Obot__class_Obot(tc_fun(_u12196, tc_HOL_Obool))) | ( hAPP(_u12197, hAPP(c_Finite__Set_Ofold1(_u12196, c_Groups_Otimes__class_Otimes(_u12196)), _u12198)) = hAPP(c_Finite__Set_Ofold1(_u12196, c_Groups_Otimes__class_Otimes(_u12196)), hAPP(c_Set_Oimage(_u12196, _u12196, _u12197), _u12198))) )).
% 20.36/20.62 cnf(matrix-5777, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u12202, _u12203, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u12202)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u12202), _u12201), _u12204), _u12205)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u12202), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u12201, skolem287(_u12205, _u12204, _u12203, _u12202, _u12201)), skolem288(_u12205, _u12204, _u12203, _u12202, _u12201))) )).
% 20.36/20.62 cnf(matrix-5778, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u12202, _u12203, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u12202)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u12202), _u12201), _u12204), _u12205)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u12202), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u12202, _u12203, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u12202)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u12202), hAPP(c_COMBK(tc_fun(tc_Com_Ostate, tc_HOL_Obool), _u12202), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ostate, tc_HOL_Obool), c_fequal), skolem288(_u12205, _u12204, _u12203, _u12202, _u12201)))), _u12204), hAPP(c_COMBK(tc_fun(tc_Com_Ostate, tc_HOL_Obool), _u12202), hAPP(_u12205, skolem287(_u12205, _u12204, _u12203, _u12202, _u12201))))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u12202), tc_HOL_Obool)))) )).
% 20.36/20.62 cnf(matrix-5779, plain, ( ~class_Groups_Ocomm__monoid__add(_u12207) | ~class_Groups_Ocomm__monoid__mult(_u12207) | ( _u12208 != _u12209) | ~c_Nat__Transfer_Onat__set(_u12209) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u12207), _u12210), _u12208) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u12207), _u12211), _u12209)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem289(_u12211, _u12210, _u12209, _u12208, _u12207))) )).
% 20.36/20.62 cnf(matrix-5780, plain, ( ~class_Groups_Ocomm__monoid__add(_u12207) | ~class_Groups_Ocomm__monoid__mult(_u12207) | ( _u12208 != _u12209) | ~c_Nat__Transfer_Onat__set(_u12209) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u12207), _u12210), _u12208) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u12207), _u12211), _u12209)) | ( hAPP(_u12210, skolem289(_u12211, _u12210, _u12209, _u12208, _u12207)) != hAPP(_u12211, skolem289(_u12211, _u12210, _u12209, _u12208, _u12207))) )).
% 20.36/20.62 cnf(matrix-5781, plain, ( ~class_Groups_Ocomm__monoid__add(_u12213) | ~class_Groups_Ocomm__monoid__mult(_u12213) | ( _u12214 != _u12215) | ~c_Nat__Transfer_Onat__set(_u12215) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u12213), _u12216), _u12214) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u12213), _u12217), _u12215)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem290(_u12217, _u12216, _u12215, _u12214, _u12213))) )).
% 20.36/20.62 cnf(matrix-5782, plain, ( ~class_Groups_Ocomm__monoid__add(_u12213) | ~class_Groups_Ocomm__monoid__mult(_u12213) | ( _u12214 != _u12215) | ~c_Nat__Transfer_Onat__set(_u12215) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u12213), _u12216), _u12214) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u12213), _u12217), _u12215)) | ( hAPP(_u12216, skolem290(_u12217, _u12216, _u12215, _u12214, _u12213)) != hAPP(_u12217, skolem290(_u12217, _u12216, _u12215, _u12214, _u12213))) )).
% 20.36/20.62 cnf(matrix-5783, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u12221, hAPP(hAPP(c_COMBC(_u12221, tc_fun(tc_prod(_u12221, _u12221), tc_HOL_Obool), tc_fun(_u12221, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12221, tc_fun(tc_fun(tc_prod(_u12221, _u12221), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12221, _u12221), tc_HOL_Obool), tc_fun(_u12221, tc_HOL_Obool)), _u12221), c_COMBC(_u12221, tc_fun(tc_prod(_u12221, _u12221), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12221, tc_prod(_u12221, _u12221)), tc_fun(_u12221, tc_fun(tc_fun(tc_prod(_u12221, _u12221), tc_HOL_Obool), tc_HOL_Obool)), _u12221), hAPP(c_COMBB(tc_prod(_u12221, _u12221), tc_fun(tc_fun(tc_prod(_u12221, _u12221), tc_HOL_Obool), tc_HOL_Obool), _u12221), c_member(tc_prod(_u12221, _u12221)))), c_Product__Type_OPair(_u12221, _u12221)))), _u12223)), _u12225)) | hBOOL(hAPP(hAPP(c_member(_u12221), _u12225), c_Wellfounded_Oacc(_u12221, _u12223))) )).
% 20.36/20.62 cnf(matrix-5784, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12222), _u12226), c_Wellfounded_Oacc(_u12222, _u12224))) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u12222, hAPP(hAPP(c_COMBC(_u12222, tc_fun(tc_prod(_u12222, _u12222), tc_HOL_Obool), tc_fun(_u12222, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12222, tc_fun(tc_fun(tc_prod(_u12222, _u12222), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12222, _u12222), tc_HOL_Obool), tc_fun(_u12222, tc_HOL_Obool)), _u12222), c_COMBC(_u12222, tc_fun(tc_prod(_u12222, _u12222), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12222, tc_prod(_u12222, _u12222)), tc_fun(_u12222, tc_fun(tc_fun(tc_prod(_u12222, _u12222), tc_HOL_Obool), tc_HOL_Obool)), _u12222), hAPP(c_COMBB(tc_prod(_u12222, _u12222), tc_fun(tc_fun(tc_prod(_u12222, _u12222), tc_HOL_Obool), tc_HOL_Obool), _u12222), c_member(tc_prod(_u12222, _u12222)))), c_Product__Type_OPair(_u12222, _u12222)))), _u12224)), _u12226)) )).
% 20.36/20.62 cnf(matrix-5785, plain, ( ~c_Wellfounded_Omax__extp(_u12235, _u12237, _u12239, _u12241) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12235), _u12239)) )).
% 20.36/20.62 cnf(matrix-5786, plain, ( ~c_Wellfounded_Omax__extp(_u12235, _u12237, _u12239, _u12241) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12235), _u12241)) )).
% 20.36/20.62 cnf(matrix-5787, plain, ( ~c_Wellfounded_Omax__extp(_u12235, _u12237, _u12239, _u12241) | ( _u12241 != c_Orderings_Obot__class_Obot(tc_fun(_u12235, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5788, plain, ( ~c_Wellfounded_Omax__extp(_u12235, _u12237, _u12239, _u12241) | ~hBOOL(hAPP(hAPP(c_member(_u12235), _u12228), _u12239)) | hBOOL(hAPP(hAPP(c_member(_u12235), skolem291(_u12241, _u12239, _u12237, _u12235, _u12228)), _u12241)) )).
% 20.36/20.62 cnf(matrix-5789, plain, ( ~c_Wellfounded_Omax__extp(_u12235, _u12237, _u12239, _u12241) | ~hBOOL(hAPP(hAPP(c_member(_u12235), _u12228), _u12239)) | hBOOL(hAPP(hAPP(_u12237, _u12228), skolem291(_u12241, _u12239, _u12237, _u12235, _u12228))) )).
% 20.36/20.62 cnf(matrix-5790, plain, ( c_Wellfounded_Omax__extp(_u12236, _u12238, _u12240, _u12242) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12236), _u12240)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12236), _u12242)) | ( _u12242 = c_Orderings_Obot__class_Obot(tc_fun(_u12236, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u12236), skolem292(_u12242, _u12240, _u12238, _u12236)), _u12240)) )).
% 20.36/20.62 cnf(matrix-5791, plain, ( c_Wellfounded_Omax__extp(_u12236, _u12238, _u12240, _u12242) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12236), _u12240)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12236), _u12242)) | ( _u12242 = c_Orderings_Obot__class_Obot(tc_fun(_u12236, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u12236), _u12229), _u12242)) | ~hBOOL(hAPP(hAPP(_u12238, skolem292(_u12242, _u12240, _u12238, _u12236)), _u12229)) )).
% 20.36/20.62 cnf(matrix-5792, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12243, _u12243), tc_HOL_Obool)), _u12244), _u12245)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12243, tc_HOL_Obool)), c_Wellfounded_Oacc(_u12243, _u12245)), c_Wellfounded_Oacc(_u12243, _u12244))) )).
% 20.36/20.62 cnf(matrix-5793, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12246), _u12247), c_Wellfounded_Oacc(_u12246, _u12248))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12246, _u12246)), hAPP(hAPP(c_Product__Type_OPair(_u12246, _u12246), _u12249), _u12247)), _u12248)) | hBOOL(hAPP(hAPP(c_member(_u12246), _u12249), c_Wellfounded_Oacc(_u12246, _u12248))) )).
% 20.36/20.62 cnf(matrix-5794, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12255), _u12257), c_Wellfounded_Oacc(_u12255, _u12259))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12255, _u12255)), hAPP(hAPP(c_Product__Type_OPair(_u12255, _u12255), _u12250), _u12257)), _u12259)) | hBOOL(hAPP(hAPP(c_member(_u12255), _u12250), c_Wellfounded_Oacc(_u12255, _u12259))) )).
% 20.36/20.62 cnf(matrix-5795, plain, ( hBOOL(hAPP(hAPP(c_member(_u12256), _u12258), c_Wellfounded_Oacc(_u12256, _u12260))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12256, _u12256)), hAPP(hAPP(c_Product__Type_OPair(_u12256, _u12256), skolem293(_u12260, _u12258, _u12256)), _u12258)), _u12260)) )).
% 20.36/20.62 cnf(matrix-5796, plain, ( hBOOL(hAPP(hAPP(c_member(_u12256), _u12258), c_Wellfounded_Oacc(_u12256, _u12260))) | ~hBOOL(hAPP(hAPP(c_member(_u12256), skolem293(_u12260, _u12258, _u12256)), c_Wellfounded_Oacc(_u12256, _u12260))) )).
% 20.36/20.62 cnf(matrix-5797, plain, ( ( _u12262 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u12263, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u12263, _u12264, _u12265, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u12263, tc_HOL_Obool), _u12262)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u12263, tc_HOL_Obool)), skolem294(_u12265, _u12264, _u12263, _u12262)), _u12262)) )).
% 20.36/20.62 cnf(matrix-5798, plain, ( ( _u12262 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u12263, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u12263, _u12264, _u12265, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u12263, tc_HOL_Obool), _u12262)) | ~c_Fun_Oinj__on(_u12263, _u12264, _u12265, skolem294(_u12265, _u12264, _u12263, _u12262)) )).
% 20.36/20.62 cnf(matrix-5799, plain, ( ( hAPP(c_Set_Oimage(_u12266, tc_prod(_u12267, _u12268), hAPP(hAPP(c_COMBS(_u12266, _u12268, tc_prod(_u12267, _u12268)), hAPP(hAPP(c_COMBB(_u12267, tc_fun(_u12268, tc_prod(_u12267, _u12268)), _u12266), c_Product__Type_OPair(_u12267, _u12268)), _u12269)), _u12270)), _u12271) = hAPP(hAPP(c_Product__Type_OSigma(_u12267, _u12268), hAPP(c_Set_Oimage(_u12266, _u12267, _u12269), _u12271)), hAPP(hAPP(c_COMBB(tc_fun(_u12266, tc_HOL_Obool), tc_fun(_u12268, tc_HOL_Obool), _u12267), c_Set_Oimage(_u12266, _u12268, _u12270)), hAPP(hAPP(c_COMBC(_u12267, tc_fun(_u12266, tc_HOL_Obool), tc_fun(_u12266, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12266, tc_HOL_Obool), tc_fun(tc_fun(_u12266, tc_HOL_Obool), tc_fun(_u12266, tc_HOL_Obool)), _u12267), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12266, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12267, tc_HOL_Obool), tc_fun(_u12266, tc_HOL_Obool), _u12267), c_Set_Ovimage(_u12266, _u12267, _u12269)), hAPP(hAPP(c_COMBC(_u12267, tc_fun(_u12267, tc_HOL_Obool), tc_fun(_u12267, tc_HOL_Obool)), c_Set_Oinsert(_u12267)), c_Orderings_Obot__class_Obot(tc_fun(_u12267, tc_HOL_Obool)))))), _u12271)))) )).
% 20.36/20.62 cnf(matrix-5800, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u12274, _u12275, _u12276) | ( hAPP(_u12277, hAPP(hAPP(_u12275, skolem295(_u12278, _u12277, _u12276, _u12275, _u12274)), skolem296(_u12278, _u12277, _u12276, _u12275, _u12274))) != hAPP(hAPP(_u12275, hAPP(_u12277, skolem295(_u12278, _u12277, _u12276, _u12275, _u12274))), hAPP(_u12277, skolem296(_u12278, _u12277, _u12276, _u12275, _u12274)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12274), _u12278)) | ( _u12278 = c_Orderings_Obot__class_Obot(tc_fun(_u12274, tc_HOL_Obool))) | ( hAPP(_u12277, hAPP(_u12276, _u12278)) = hAPP(_u12276, hAPP(c_Set_Oimage(_u12274, _u12274, _u12277), _u12278))) )).
% 20.36/20.62 cnf(matrix-5801, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12279), _u12280), _u12281)) | ~hBOOL(hAPP(hAPP(c_member(_u12282), _u12283), hAPP(_u12284, _u12280))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12279, _u12282)), hAPP(hAPP(c_Product__Type_OPair(_u12279, _u12282), _u12280), _u12283)), hAPP(hAPP(c_Product__Type_OSigma(_u12279, _u12282), _u12281), _u12284))) )).
% 20.36/20.62 cnf(matrix-5802, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12285, _u12286), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u12285, tc_HOL_Obool), _u12287)), _u12288) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u12285, tc_HOL_Obool), tc_fun(tc_prod(_u12285, _u12286), tc_HOL_Obool)), _u12287), hAPP(hAPP(c_COMBC(tc_fun(_u12285, tc_HOL_Obool), tc_fun(_u12285, tc_fun(_u12286, tc_HOL_Obool)), tc_fun(tc_prod(_u12285, _u12286), tc_HOL_Obool)), c_Product__Type_OSigma(_u12285, _u12286)), _u12288))) )).
% 20.36/20.62 cnf(matrix-5803, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12289, _u12290), c_Orderings_Obot__class_Obot(tc_fun(_u12289, tc_HOL_Obool))), _u12291) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12289, _u12290), tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5804, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12292, _u12293), _u12294), hAPP(hAPP(c_COMBS(_u12292, tc_fun(_u12293, tc_HOL_Obool), tc_fun(_u12293, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12293, tc_HOL_Obool), tc_fun(tc_fun(_u12293, tc_HOL_Obool), tc_fun(_u12293, tc_HOL_Obool)), _u12292), c_Groups_Ominus__class_Ominus(tc_fun(_u12293, tc_HOL_Obool))), _u12295)), _u12296)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12292, _u12293), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12292, _u12293), _u12294), _u12295)), hAPP(hAPP(c_Product__Type_OSigma(_u12292, _u12293), _u12294), _u12296))) )).
% 20.36/20.62 cnf(matrix-5805, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12297, _u12298), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12297, tc_HOL_Obool)), _u12299), _u12300)), hAPP(c_COMBK(tc_fun(_u12298, tc_HOL_Obool), _u12297), _u12301)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12297, _u12298), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12297, _u12298), _u12299), hAPP(c_COMBK(tc_fun(_u12298, tc_HOL_Obool), _u12297), _u12301))), hAPP(hAPP(c_Product__Type_OSigma(_u12297, _u12298), _u12300), hAPP(c_COMBK(tc_fun(_u12298, tc_HOL_Obool), _u12297), _u12301)))) )).
% 20.36/20.62 cnf(matrix-5806, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12302, _u12303), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12302, tc_HOL_Obool)), _u12304), _u12305)), _u12306) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12302, _u12303), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12302, _u12303), _u12304), _u12306)), hAPP(hAPP(c_Product__Type_OSigma(_u12302, _u12303), _u12305), _u12306))) )).
% 20.36/20.62 cnf(matrix-5807, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12307), _u12308), _u12309)) | ( hAPP(hAPP(c_Product__Type_OSigma(_u12310, _u12307), _u12311), hAPP(c_COMBK(tc_fun(_u12307, tc_HOL_Obool), _u12310), _u12309)) != hAPP(hAPP(c_Product__Type_OSigma(_u12310, _u12307), _u12312), hAPP(c_COMBK(tc_fun(_u12307, tc_HOL_Obool), _u12310), _u12309))) | ( _u12311 = _u12312) )).
% 20.36/20.62 cnf(matrix-5808, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12307), _u12308), _u12309)) | ( _u12311 != _u12312) | ( hAPP(hAPP(c_Product__Type_OSigma(_u12310, _u12307), _u12311), hAPP(c_COMBK(tc_fun(_u12307, tc_HOL_Obool), _u12310), _u12309)) = hAPP(hAPP(c_Product__Type_OSigma(_u12310, _u12307), _u12312), hAPP(c_COMBK(tc_fun(_u12307, tc_HOL_Obool), _u12310), _u12309))) )).
% 20.36/20.62 cnf(matrix-5809, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u12313, _u12314)), hAPP(hAPP(c_Product__Type_OSigma(_u12313, _u12314), _u12315), hAPP(c_COMBK(tc_fun(_u12314, tc_HOL_Obool), _u12313), _u12316))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12313), _u12315)), hAPP(c_Finite__Set_Ocard(_u12314), _u12316))) )).
% 20.36/20.62 cnf(matrix-5810, plain, ( ~class_Groups_Ocomm__monoid__add(_u12317) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12318, _u12317), hAPP(hAPP(c_COMBC(_u12318, tc_fun(_u12319, tc_HOL_Obool), _u12317), hAPP(hAPP(c_COMBB(tc_fun(_u12319, _u12317), tc_fun(tc_fun(_u12319, tc_HOL_Obool), _u12317), _u12318), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12319, _u12317)), _u12320)), _u12321)), _u12322) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u12318, _u12319), _u12317), hAPP(c_Product__Type_Oprod_Oprod__case(_u12318, _u12319, _u12317), _u12320)), hAPP(hAPP(c_Product__Type_OSigma(_u12318, _u12319), _u12322), hAPP(c_COMBK(tc_fun(_u12319, tc_HOL_Obool), _u12318), _u12321)))) )).
% 20.36/20.62 cnf(matrix-5811, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12327, _u12329), _u12331), hAPP(c_COMBK(tc_fun(_u12329, tc_HOL_Obool), _u12327), _u12333)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12327, _u12329), tc_HOL_Obool))) | ( _u12331 = c_Orderings_Obot__class_Obot(tc_fun(_u12327, tc_HOL_Obool))) | ( _u12333 = c_Orderings_Obot__class_Obot(tc_fun(_u12329, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5812, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12328, _u12330), _u12332), hAPP(c_COMBK(tc_fun(_u12330, tc_HOL_Obool), _u12328), _u12334)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12328, _u12330), tc_HOL_Obool))) | ( _u12332 != c_Orderings_Obot__class_Obot(tc_fun(_u12328, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5813, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12328, _u12330), _u12332), hAPP(c_COMBK(tc_fun(_u12330, tc_HOL_Obool), _u12328), _u12334)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12328, _u12330), tc_HOL_Obool))) | ( _u12334 != c_Orderings_Obot__class_Obot(tc_fun(_u12330, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5814, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12335, _u12336), _u12337), hAPP(c_COMBK(tc_fun(_u12336, tc_HOL_Obool), _u12335), c_Orderings_Obot__class_Obot(tc_fun(_u12336, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12335, _u12336), tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5815, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u12338, _u12339), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12338, _u12339), c_Orderings_Otop__class_Otop(tc_fun(_u12338, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u12339, tc_HOL_Obool), _u12338), _u12340))) = hAPP(hAPP(c_Product__Type_OSigma(_u12338, _u12339), c_Orderings_Otop__class_Otop(tc_fun(_u12338, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u12339, tc_HOL_Obool), _u12338), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12339, tc_HOL_Obool)), _u12340)))) )).
% 20.36/20.62 cnf(matrix-5816, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u12341, _u12342), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12341, _u12342), _u12343), hAPP(c_COMBK(tc_fun(_u12342, tc_HOL_Obool), _u12341), c_Orderings_Otop__class_Otop(tc_fun(_u12342, tc_HOL_Obool))))) = hAPP(hAPP(c_Product__Type_OSigma(_u12341, _u12342), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12341, tc_HOL_Obool)), _u12343)), hAPP(c_COMBK(tc_fun(_u12342, tc_HOL_Obool), _u12341), c_Orderings_Otop__class_Otop(tc_fun(_u12342, tc_HOL_Obool))))) )).
% 20.36/20.62 cnf(matrix-5817, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12344) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12345, _u12344), hAPP(hAPP(c_COMBC(_u12345, tc_fun(_u12346, tc_HOL_Obool), _u12344), hAPP(hAPP(c_COMBB(tc_fun(_u12346, _u12344), tc_fun(tc_fun(_u12346, tc_HOL_Obool), _u12344), _u12345), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12346, _u12344)), _u12347)), _u12348)), _u12349) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u12345, _u12346), _u12344), hAPP(c_Product__Type_Oprod_Oprod__case(_u12345, _u12346, _u12344), _u12347)), hAPP(hAPP(c_Product__Type_OSigma(_u12345, _u12346), _u12349), hAPP(c_COMBK(tc_fun(_u12346, tc_HOL_Obool), _u12345), _u12348)))) )).
% 20.36/20.62 cnf(matrix-5818, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12350, _u12351), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12350, tc_HOL_Obool)), _u12352), _u12353)), _u12354) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12350, _u12351), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12350, _u12351), _u12352), _u12354)), hAPP(hAPP(c_Product__Type_OSigma(_u12350, _u12351), _u12353), _u12354))) )).
% 20.36/20.62 cnf(matrix-5819, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12355, _u12356), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12355, tc_HOL_Obool)), _u12357), _u12358)), hAPP(c_COMBK(tc_fun(_u12356, tc_HOL_Obool), _u12355), _u12359)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12355, _u12356), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12355, _u12356), _u12357), hAPP(c_COMBK(tc_fun(_u12356, tc_HOL_Obool), _u12355), _u12359))), hAPP(hAPP(c_Product__Type_OSigma(_u12355, _u12356), _u12358), hAPP(c_COMBK(tc_fun(_u12356, tc_HOL_Obool), _u12355), _u12359)))) )).
% 20.36/20.62 cnf(matrix-5820, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12360, _u12361), _u12362), hAPP(hAPP(c_COMBS(_u12360, tc_fun(_u12361, tc_HOL_Obool), tc_fun(_u12361, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12361, tc_HOL_Obool), tc_fun(tc_fun(_u12361, tc_HOL_Obool), tc_fun(_u12361, tc_HOL_Obool)), _u12360), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12361, tc_HOL_Obool))), _u12363)), _u12364)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12360, _u12361), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12360, _u12361), _u12362), _u12363)), hAPP(hAPP(c_Product__Type_OSigma(_u12360, _u12361), _u12362), _u12364))) )).
% 20.36/20.62 cnf(matrix-5821, plain, ( ( hAPP(c_Set_Oimage(tc_prod(_u12365, _u12366), tc_prod(_u12366, _u12365), hAPP(c_Product__Type_Oprod_Oprod__case(_u12365, _u12366, tc_prod(_u12366, _u12365)), hAPP(c_COMBC(_u12366, _u12365, tc_prod(_u12366, _u12365)), c_Product__Type_OPair(_u12366, _u12365)))), hAPP(hAPP(c_Product__Type_OSigma(_u12365, _u12366), _u12367), hAPP(c_COMBK(tc_fun(_u12366, tc_HOL_Obool), _u12365), _u12368))) = hAPP(hAPP(c_Product__Type_OSigma(_u12366, _u12365), _u12368), hAPP(c_COMBK(tc_fun(_u12365, tc_HOL_Obool), _u12366), _u12367))) )).
% 20.36/20.62 cnf(matrix-5822, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12369), _u12370)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12371), _u12372)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12369, _u12371)), hAPP(hAPP(c_Product__Type_OSigma(_u12369, _u12371), _u12370), hAPP(c_COMBK(tc_fun(_u12371, tc_HOL_Obool), _u12369), _u12372)))) )).
% 20.36/20.62 cnf(matrix-5823, plain, ( ~c_Equiv__Relations_Oequiv(_u12373, _u12374, _u12375) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12373, _u12373), tc_HOL_Obool)), _u12375), hAPP(hAPP(c_Product__Type_OSigma(_u12373, _u12373), _u12374), hAPP(c_COMBK(tc_fun(_u12373, tc_HOL_Obool), _u12373), _u12374)))) )).
% 20.36/20.62 cnf(matrix-5824, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12376, _u12377), _u12378), hAPP(hAPP(c_COMBS(_u12376, tc_fun(_u12377, tc_HOL_Obool), tc_fun(_u12377, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12377, tc_HOL_Obool), tc_fun(tc_fun(_u12377, tc_HOL_Obool), tc_fun(_u12377, tc_HOL_Obool)), _u12376), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12377, tc_HOL_Obool))), _u12379)), _u12380)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12376, _u12377), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12376, _u12377), _u12378), _u12379)), hAPP(hAPP(c_Product__Type_OSigma(_u12376, _u12377), _u12378), _u12380))) )).
% 20.36/20.62 cnf(matrix-5825, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12381, _u12382), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12381, tc_HOL_Obool)), _u12383), _u12384)), hAPP(c_COMBK(tc_fun(_u12382, tc_HOL_Obool), _u12381), _u12385)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12381, _u12382), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12381, _u12382), _u12383), hAPP(c_COMBK(tc_fun(_u12382, tc_HOL_Obool), _u12381), _u12385))), hAPP(hAPP(c_Product__Type_OSigma(_u12381, _u12382), _u12384), hAPP(c_COMBK(tc_fun(_u12382, tc_HOL_Obool), _u12381), _u12385)))) )).
% 20.36/20.62 cnf(matrix-5826, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12386, _u12387), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12386, tc_HOL_Obool)), _u12388), _u12389)), _u12390) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12386, _u12387), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12386, _u12387), _u12388), _u12390)), hAPP(hAPP(c_Product__Type_OSigma(_u12386, _u12387), _u12389), _u12390))) )).
% 20.36/20.62 cnf(matrix-5827, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12391, _u12391), tc_HOL_Obool)), c_Relation_OId__on(_u12391, _u12392)), hAPP(hAPP(c_Product__Type_OSigma(_u12391, _u12391), _u12392), hAPP(c_COMBK(tc_fun(_u12391, tc_HOL_Obool), _u12391), _u12392)))) )).
% 20.36/20.62 cnf(matrix-5828, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12393, _u12394), c_Orderings_Otop__class_Otop(tc_fun(_u12393, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u12394, tc_HOL_Obool), _u12393), c_Orderings_Otop__class_Otop(tc_fun(_u12394, tc_HOL_Obool)))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u12393, _u12394), tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5829, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12395, _u12396)), hAPP(hAPP(c_Product__Type_OPair(_u12395, _u12396), _u12397), _u12398)), hAPP(hAPP(c_Product__Type_OSigma(_u12395, _u12396), _u12399), _u12400))) | hBOOL(hAPP(hAPP(c_member(_u12395), _u12397), _u12399)) )).
% 20.36/20.62 cnf(matrix-5830, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12395, _u12396)), hAPP(hAPP(c_Product__Type_OPair(_u12395, _u12396), _u12397), _u12398)), hAPP(hAPP(c_Product__Type_OSigma(_u12395, _u12396), _u12399), _u12400))) | hBOOL(hAPP(hAPP(c_member(_u12396), _u12398), hAPP(_u12400, _u12397))) )).
% 20.36/20.62 cnf(matrix-5831, plain, ( hBOOL(hAPP(hAPP(c_member(_u12402), _u12404), hAPP(_u12406, _u12403))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12401, _u12402)), hAPP(hAPP(c_Product__Type_OPair(_u12401, _u12402), _u12403), _u12404)), hAPP(hAPP(c_Product__Type_OSigma(_u12401, _u12402), _u12405), _u12406))) )).
% 20.36/20.62 cnf(matrix-5832, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12407, _u12408)), hAPP(hAPP(c_Product__Type_OPair(_u12407, _u12408), _u12409), _u12410)), hAPP(hAPP(c_Product__Type_OSigma(_u12407, _u12408), _u12411), _u12412))) | hBOOL(hAPP(hAPP(c_member(_u12407), _u12409), _u12411)) )).
% 20.36/20.62 cnf(matrix-5833, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12419, _u12421)), hAPP(hAPP(c_Product__Type_OPair(_u12419, _u12421), _u12423), _u12425)), hAPP(hAPP(c_Product__Type_OSigma(_u12419, _u12421), _u12427), _u12429))) | hBOOL(hAPP(hAPP(c_member(_u12419), _u12423), _u12427)) )).
% 20.36/20.62 cnf(matrix-5834, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12419, _u12421)), hAPP(hAPP(c_Product__Type_OPair(_u12419, _u12421), _u12423), _u12425)), hAPP(hAPP(c_Product__Type_OSigma(_u12419, _u12421), _u12427), _u12429))) | hBOOL(hAPP(hAPP(c_member(_u12421), _u12425), hAPP(_u12429, _u12423))) )).
% 20.36/20.62 cnf(matrix-5835, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12420), _u12424), _u12428)) | ~hBOOL(hAPP(hAPP(c_member(_u12422), _u12426), hAPP(_u12430, _u12424))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12420, _u12422)), hAPP(hAPP(c_Product__Type_OPair(_u12420, _u12422), _u12424), _u12426)), hAPP(hAPP(c_Product__Type_OSigma(_u12420, _u12422), _u12428), _u12430))) )).
% 20.36/20.62 cnf(matrix-5836, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u12431, _u12432)), hAPP(hAPP(c_Product__Type_OSigma(_u12431, _u12432), hAPP(hAPP(c_Set_Oinsert(_u12431), _u12433), c_Orderings_Obot__class_Obot(tc_fun(_u12431, tc_HOL_Obool)))), hAPP(c_COMBK(tc_fun(_u12432, tc_HOL_Obool), _u12431), _u12434))) = hAPP(c_Finite__Set_Ocard(_u12432), _u12434)) )).
% 20.36/20.62 cnf(matrix-5837, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12435), _u12436), _u12437)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12438, _u12435), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12438, _u12435), _u12439), hAPP(c_COMBK(tc_fun(_u12435, tc_HOL_Obool), _u12438), _u12437))), hAPP(hAPP(c_Product__Type_OSigma(_u12438, _u12435), _u12440), hAPP(c_COMBK(tc_fun(_u12435, tc_HOL_Obool), _u12438), _u12437)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12438, tc_HOL_Obool)), _u12439), _u12440)) )).
% 20.36/20.62 cnf(matrix-5838, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12435), _u12436), _u12437)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12438, tc_HOL_Obool)), _u12439), _u12440)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12438, _u12435), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12438, _u12435), _u12439), hAPP(c_COMBK(tc_fun(_u12435, tc_HOL_Obool), _u12438), _u12437))), hAPP(hAPP(c_Product__Type_OSigma(_u12438, _u12435), _u12440), hAPP(c_COMBK(tc_fun(_u12435, tc_HOL_Obool), _u12438), _u12437)))) )).
% 20.36/20.62 cnf(matrix-5839, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12441, _u12442), tc_HOL_Obool)), _u12443), hAPP(hAPP(c_Product__Type_OSigma(_u12441, _u12442), _u12444), hAPP(c_COMBK(tc_fun(_u12442, tc_HOL_Obool), _u12441), _u12445)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12442, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12441, _u12442, _u12443), _u12446)), _u12445)) )).
% 20.36/20.62 cnf(matrix-5840, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12447, _u12448)), hAPP(hAPP(c_Product__Type_OSigma(_u12447, _u12448), _u12449), hAPP(c_COMBK(tc_fun(_u12448, tc_HOL_Obool), _u12447), _u12450)))) | ( _u12449 = c_Orderings_Obot__class_Obot(tc_fun(_u12447, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12448), _u12450)) )).
% 20.36/20.62 cnf(matrix-5841, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12451, _u12452)), hAPP(hAPP(c_Product__Type_OSigma(_u12451, _u12452), _u12453), hAPP(c_COMBK(tc_fun(_u12452, tc_HOL_Obool), _u12451), _u12454)))) | ( _u12454 = c_Orderings_Obot__class_Obot(tc_fun(_u12452, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12451), _u12453)) )).
% 20.36/20.62 cnf(matrix-5842, plain, ( ( _u12459 != c_Orderings_Obot__class_Obot(tc_fun(_u12461, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12463, _u12461), _u12463, c_Product__Type_Ofst(_u12463, _u12461)), hAPP(hAPP(c_Product__Type_OSigma(_u12463, _u12461), _u12465), hAPP(c_COMBK(tc_fun(_u12461, tc_HOL_Obool), _u12463), _u12459))) = c_Orderings_Obot__class_Obot(tc_fun(_u12463, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5843, plain, ( ( _u12460 = c_Orderings_Obot__class_Obot(tc_fun(_u12462, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12464, _u12462), _u12464, c_Product__Type_Ofst(_u12464, _u12462)), hAPP(hAPP(c_Product__Type_OSigma(_u12464, _u12462), _u12466), hAPP(c_COMBK(tc_fun(_u12462, tc_HOL_Obool), _u12464), _u12460))) = _u12466) )).
% 20.36/20.62 cnf(matrix-5844, plain, ( ( _u12471 != c_Orderings_Obot__class_Obot(tc_fun(_u12473, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12473, _u12475), _u12475, c_Product__Type_Osnd(_u12473, _u12475)), hAPP(hAPP(c_Product__Type_OSigma(_u12473, _u12475), _u12471), hAPP(c_COMBK(tc_fun(_u12475, tc_HOL_Obool), _u12473), _u12477))) = c_Orderings_Obot__class_Obot(tc_fun(_u12475, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5845, plain, ( ( _u12472 = c_Orderings_Obot__class_Obot(tc_fun(_u12474, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12474, _u12476), _u12476, c_Product__Type_Osnd(_u12474, _u12476)), hAPP(hAPP(c_Product__Type_OSigma(_u12474, _u12476), _u12472), hAPP(c_COMBK(tc_fun(_u12476, tc_HOL_Obool), _u12474), _u12478))) = _u12478) )).
% 20.36/20.62 cnf(matrix-5846, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12479, _u12480), hAPP(hAPP(c_Set_Oinsert(_u12479), _u12481), _u12482)), hAPP(c_COMBK(tc_fun(_u12480, tc_HOL_Obool), _u12479), hAPP(hAPP(c_Set_Oinsert(_u12480), _u12483), _u12484))) = hAPP(hAPP(c_Set_Oinsert(tc_prod(_u12479, _u12480)), hAPP(hAPP(c_Product__Type_OPair(_u12479, _u12480), _u12481), _u12483)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12479, _u12480), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12479, _u12480), _u12482), hAPP(c_COMBK(tc_fun(_u12480, tc_HOL_Obool), _u12479), hAPP(hAPP(c_Set_Oinsert(_u12480), _u12483), _u12484)))), hAPP(hAPP(c_Product__Type_OSigma(_u12479, _u12480), hAPP(hAPP(c_Set_Oinsert(_u12479), _u12481), _u12482)), hAPP(c_COMBK(tc_fun(_u12480, tc_HOL_Obool), _u12479), _u12484))))) )).
% 20.36/20.62 cnf(matrix-5847, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12485), _u12486)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12485, _u12485), tc_HOL_Obool)), _u12487), hAPP(hAPP(c_Product__Type_OSigma(_u12485, _u12485), _u12486), hAPP(c_COMBK(tc_fun(_u12485, tc_HOL_Obool), _u12485), _u12486)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12485, tc_HOL_Obool)), _u12488), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12485), _u12486), _u12487))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12485), _u12488)) )).
% 20.36/20.62 cnf(matrix-5848, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(_u12489, _u12490), tc_fun(tc_prod(_u12491, _u12492), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12489, _u12490), _u12493), hAPP(c_COMBK(tc_fun(_u12490, tc_HOL_Obool), _u12489), _u12494))), hAPP(c_Product__Type_Oprod_Oprod__case(_u12489, _u12490, tc_fun(tc_prod(_u12491, _u12492), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u12489, tc_fun(_u12490, tc_fun(_u12491, tc_fun(_u12492, tc_HOL_Obool))), tc_fun(_u12490, tc_fun(tc_prod(_u12491, _u12492), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12491, tc_fun(_u12492, tc_HOL_Obool)), tc_fun(tc_prod(_u12491, _u12492), tc_HOL_Obool)), tc_fun(tc_fun(_u12490, tc_fun(_u12491, tc_fun(_u12492, tc_HOL_Obool))), tc_fun(_u12490, tc_fun(tc_prod(_u12491, _u12492), tc_HOL_Obool))), _u12489), c_COMBB(tc_fun(_u12491, tc_fun(_u12492, tc_HOL_Obool)), tc_fun(tc_prod(_u12491, _u12492), tc_HOL_Obool), _u12490)), hAPP(hAPP(c_COMBB(tc_fun(_u12491, tc_HOL_Obool), tc_fun(tc_fun(_u12491, tc_fun(_u12492, tc_HOL_Obool)), tc_fun(tc_prod(_u12491, _u12492), tc_HOL_Obool)), _u12489), c_Product__Type_OSigma(_u12491, _u12492)), _u12495))), hAPP(hAPP(c_COMBB(tc_fun(_u12492, tc_HOL_Obool), tc_fun(_u12491, tc_fun(_u12492, tc_HOL_Obool)), _u12490), c_COMBK(tc_fun(_u12492, tc_HOL_Obool), _u12491)), _u12496)))) = hAPP(hAPP(c_Product__Type_OSigma(_u12491, _u12492), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12489, tc_fun(_u12491, tc_HOL_Obool)), _u12493), _u12495)), hAPP(c_COMBK(tc_fun(_u12492, tc_HOL_Obool), _u12491), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12490, tc_fun(_u12492, tc_HOL_Obool)), _u12494), _u12496)))) )).
% 20.36/20.62 cnf(matrix-5849, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12497, _u12498), _u12499), _u12500) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12497, tc_fun(tc_prod(_u12497, _u12498), tc_HOL_Obool)), _u12499), hAPP(hAPP(c_COMBS(_u12497, tc_fun(_u12498, tc_fun(tc_prod(_u12497, _u12498), tc_HOL_Obool)), tc_fun(tc_prod(_u12497, _u12498), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12498, tc_HOL_Obool), tc_fun(tc_fun(_u12498, tc_fun(tc_prod(_u12497, _u12498), tc_HOL_Obool)), tc_fun(tc_prod(_u12497, _u12498), tc_HOL_Obool)), _u12497), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12498, tc_fun(tc_prod(_u12497, _u12498), tc_HOL_Obool))), _u12500)), hAPP(hAPP(c_COMBC(_u12497, tc_fun(tc_prod(_u12497, _u12498), tc_HOL_Obool), tc_fun(_u12498, tc_fun(tc_prod(_u12497, _u12498), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12498, tc_fun(tc_fun(tc_prod(_u12497, _u12498), tc_HOL_Obool), tc_fun(tc_prod(_u12497, _u12498), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u12497, _u12498), tc_HOL_Obool), tc_fun(_u12498, tc_fun(tc_prod(_u12497, _u12498), tc_HOL_Obool))), _u12497), c_COMBC(_u12498, tc_fun(tc_prod(_u12497, _u12498), tc_HOL_Obool), tc_fun(tc_prod(_u12497, _u12498), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12498, tc_prod(_u12497, _u12498)), tc_fun(_u12498, tc_fun(tc_fun(tc_prod(_u12497, _u12498), tc_HOL_Obool), tc_fun(tc_prod(_u12497, _u12498), tc_HOL_Obool))), _u12497), hAPP(c_COMBB(tc_prod(_u12497, _u12498), tc_fun(tc_fun(tc_prod(_u12497, _u12498), tc_HOL_Obool), tc_fun(tc_prod(_u12497, _u12498), tc_HOL_Obool)), _u12498), c_Set_Oinsert(tc_prod(_u12497, _u12498)))), c_Product__Type_OPair(_u12497, _u12498)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12497, _u12498), tc_HOL_Obool)))))) )).
% 20.36/20.62 cnf(matrix-5850, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12501), _u12502)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12501, _u12501), tc_HOL_Obool)), _u12503), hAPP(hAPP(c_Product__Type_OSigma(_u12501, _u12501), _u12502), hAPP(c_COMBK(tc_fun(_u12501, tc_HOL_Obool), _u12501), _u12502)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u12501, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12501), _u12502), _u12503))) )).
% 20.36/20.62 cnf(matrix-5851, plain, ( c_Fun_Oinj__on(_u12505, tc_prod(_u12506, _u12505), skolem297(_u12508, _u12507, _u12506, _u12505), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12506, tc_fun(_u12505, tc_HOL_Obool)), _u12507), _u12508)) )).
% 20.36/20.62 cnf(matrix-5852, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12506, _u12505), tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12505, tc_prod(_u12506, _u12505), skolem297(_u12508, _u12507, _u12506, _u12505)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12506, tc_fun(_u12505, tc_HOL_Obool)), _u12507), _u12508))), hAPP(hAPP(c_Product__Type_OSigma(_u12506, _u12505), _u12507), _u12508))) )).
% 20.36/20.62 cnf(matrix-5853, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12510) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12511), _u12512)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u12510, _u12511, c_Groups_Otimes__class_Otimes(_u12510)), hAPP(hAPP(c_COMBS(_u12511, tc_fun(_u12513, tc_HOL_Obool), _u12510), hAPP(hAPP(c_COMBC(_u12511, _u12510, tc_fun(tc_fun(_u12513, tc_HOL_Obool), _u12510)), hAPP(hAPP(c_COMBB(tc_fun(_u12513, _u12510), tc_fun(_u12510, tc_fun(tc_fun(_u12513, tc_HOL_Obool), _u12510)), _u12511), c_Finite__Set_Ofold__image(_u12510, _u12513, c_Groups_Otimes__class_Otimes(_u12510))), _u12515)), c_Groups_Oone__class_Oone(_u12510))), _u12514)), c_Groups_Oone__class_Oone(_u12510)), _u12512) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u12510, tc_prod(_u12511, _u12513), c_Groups_Otimes__class_Otimes(_u12510)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12511, _u12513, _u12510), _u12515)), c_Groups_Oone__class_Oone(_u12510)), hAPP(hAPP(c_Product__Type_OSigma(_u12511, _u12513), _u12512), _u12514))) | hBOOL(hAPP(hAPP(c_member(_u12511), skolem298(_u12515, _u12514, _u12513, _u12512, _u12511, _u12510)), _u12512)) )).
% 20.36/20.62 cnf(matrix-5854, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12510) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12511), _u12512)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u12510, _u12511, c_Groups_Otimes__class_Otimes(_u12510)), hAPP(hAPP(c_COMBS(_u12511, tc_fun(_u12513, tc_HOL_Obool), _u12510), hAPP(hAPP(c_COMBC(_u12511, _u12510, tc_fun(tc_fun(_u12513, tc_HOL_Obool), _u12510)), hAPP(hAPP(c_COMBB(tc_fun(_u12513, _u12510), tc_fun(_u12510, tc_fun(tc_fun(_u12513, tc_HOL_Obool), _u12510)), _u12511), c_Finite__Set_Ofold__image(_u12510, _u12513, c_Groups_Otimes__class_Otimes(_u12510))), _u12515)), c_Groups_Oone__class_Oone(_u12510))), _u12514)), c_Groups_Oone__class_Oone(_u12510)), _u12512) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u12510, tc_prod(_u12511, _u12513), c_Groups_Otimes__class_Otimes(_u12510)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12511, _u12513, _u12510), _u12515)), c_Groups_Oone__class_Oone(_u12510)), hAPP(hAPP(c_Product__Type_OSigma(_u12511, _u12513), _u12512), _u12514))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12513), hAPP(_u12514, skolem298(_u12515, _u12514, _u12513, _u12512, _u12511, _u12510)))) )).
% 20.36/20.62 cnf(matrix-5855, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12517), _u12518)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12517, _u12519)), hAPP(hAPP(c_Product__Type_OSigma(_u12517, _u12519), _u12518), _u12520))) | hBOOL(hAPP(hAPP(c_member(_u12517), skolem299(_u12520, _u12519, _u12518, _u12517)), _u12518)) )).
% 20.36/20.62 cnf(matrix-5856, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12517), _u12518)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12517, _u12519)), hAPP(hAPP(c_Product__Type_OSigma(_u12517, _u12519), _u12518), _u12520))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12519), hAPP(_u12520, skolem299(_u12520, _u12519, _u12518, _u12517)))) )).
% 20.36/20.62 cnf(matrix-5857, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12522) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12523), _u12524)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12523, _u12522), hAPP(hAPP(c_COMBS(_u12523, tc_fun(_u12525, tc_HOL_Obool), _u12522), hAPP(hAPP(c_COMBB(tc_fun(_u12525, _u12522), tc_fun(tc_fun(_u12525, tc_HOL_Obool), _u12522), _u12523), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12525, _u12522)), _u12527)), _u12526)), _u12524) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u12523, _u12525), _u12522), hAPP(c_Product__Type_Oprod_Oprod__case(_u12523, _u12525, _u12522), _u12527)), hAPP(hAPP(c_Product__Type_OSigma(_u12523, _u12525), _u12524), _u12526))) | hBOOL(hAPP(hAPP(c_member(_u12523), skolem300(_u12527, _u12526, _u12525, _u12524, _u12523, _u12522)), _u12524)) )).
% 20.36/20.62 cnf(matrix-5858, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12522) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12523), _u12524)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12523, _u12522), hAPP(hAPP(c_COMBS(_u12523, tc_fun(_u12525, tc_HOL_Obool), _u12522), hAPP(hAPP(c_COMBB(tc_fun(_u12525, _u12522), tc_fun(tc_fun(_u12525, tc_HOL_Obool), _u12522), _u12523), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12525, _u12522)), _u12527)), _u12526)), _u12524) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u12523, _u12525), _u12522), hAPP(c_Product__Type_Oprod_Oprod__case(_u12523, _u12525, _u12522), _u12527)), hAPP(hAPP(c_Product__Type_OSigma(_u12523, _u12525), _u12524), _u12526))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12525), hAPP(_u12526, skolem300(_u12527, _u12526, _u12525, _u12524, _u12523, _u12522)))) )).
% 20.36/20.62 cnf(matrix-5859, plain, ( ~class_Groups_Ocomm__monoid__add(_u12529) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12530), _u12531)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12530, _u12529), hAPP(hAPP(c_COMBS(_u12530, tc_fun(_u12532, tc_HOL_Obool), _u12529), hAPP(hAPP(c_COMBB(tc_fun(_u12532, _u12529), tc_fun(tc_fun(_u12532, tc_HOL_Obool), _u12529), _u12530), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12532, _u12529)), _u12534)), _u12533)), _u12531) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u12530, _u12532), _u12529), hAPP(c_Product__Type_Oprod_Oprod__case(_u12530, _u12532, _u12529), _u12534)), hAPP(hAPP(c_Product__Type_OSigma(_u12530, _u12532), _u12531), _u12533))) | hBOOL(hAPP(hAPP(c_member(_u12530), skolem301(_u12534, _u12533, _u12532, _u12531, _u12530, _u12529)), _u12531)) )).
% 20.36/20.62 cnf(matrix-5860, plain, ( ~class_Groups_Ocomm__monoid__add(_u12529) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12530), _u12531)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12530, _u12529), hAPP(hAPP(c_COMBS(_u12530, tc_fun(_u12532, tc_HOL_Obool), _u12529), hAPP(hAPP(c_COMBB(tc_fun(_u12532, _u12529), tc_fun(tc_fun(_u12532, tc_HOL_Obool), _u12529), _u12530), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12532, _u12529)), _u12534)), _u12533)), _u12531) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u12530, _u12532), _u12529), hAPP(c_Product__Type_Oprod_Oprod__case(_u12530, _u12532, _u12529), _u12534)), hAPP(hAPP(c_Product__Type_OSigma(_u12530, _u12532), _u12531), _u12533))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12532), hAPP(_u12533, skolem301(_u12534, _u12533, _u12532, _u12531, _u12530, _u12529)))) )).
% 20.36/20.62 cnf(matrix-5861, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12536), _u12537)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u12536, _u12538)), hAPP(hAPP(c_Product__Type_OSigma(_u12536, _u12538), _u12537), _u12539)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12536, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u12538, tc_HOL_Obool), tc_Nat_Onat, _u12536), c_Finite__Set_Ocard(_u12538)), _u12539)), _u12537)) | hBOOL(hAPP(hAPP(c_member(_u12536), skolem302(_u12539, _u12538, _u12537, _u12536)), _u12537)) )).
% 20.36/20.62 cnf(matrix-5862, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12536), _u12537)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u12536, _u12538)), hAPP(hAPP(c_Product__Type_OSigma(_u12536, _u12538), _u12537), _u12539)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12536, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u12538, tc_HOL_Obool), tc_Nat_Onat, _u12536), c_Finite__Set_Ocard(_u12538)), _u12539)), _u12537)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12538), hAPP(_u12539, skolem302(_u12539, _u12538, _u12537, _u12536)))) )).
% 20.36/20.62 cnf(matrix-5863, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12542, _u12543)), _u12544), hAPP(hAPP(c_Product__Type_OSigma(_u12542, _u12543), _u12545), _u12546))) | hBOOL(hAPP(hAPP(c_member(_u12542), skolem303(_u12546, _u12545, _u12544, _u12543, _u12542)), _u12545)) )).
% 20.36/20.62 cnf(matrix-5864, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12542, _u12543)), _u12544), hAPP(hAPP(c_Product__Type_OSigma(_u12542, _u12543), _u12545), _u12546))) | hBOOL(hAPP(hAPP(c_member(_u12543), skolem304(_u12546, _u12545, _u12544, _u12543, _u12542)), hAPP(_u12546, skolem303(_u12546, _u12545, _u12544, _u12543, _u12542)))) )).
% 20.36/20.62 cnf(matrix-5865, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12542, _u12543)), _u12544), hAPP(hAPP(c_Product__Type_OSigma(_u12542, _u12543), _u12545), _u12546))) | ( _u12544 = hAPP(hAPP(c_Product__Type_OPair(_u12542, _u12543), skolem303(_u12546, _u12545, _u12544, _u12543, _u12542)), skolem304(_u12546, _u12545, _u12544, _u12543, _u12542))) )).
% 20.36/20.62 cnf(matrix-5866, plain, ( ( hAPP(c_Set_Oimage(_u12547, _u12548, _u12549), c_Orderings_Otop__class_Otop(tc_fun(_u12547, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u12548, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u12550, _u12551, _u12552), c_Orderings_Otop__class_Otop(tc_fun(_u12550, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u12551, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12547, _u12550), tc_prod(_u12548, _u12551), c_Product__Type_Omap__pair(_u12547, _u12548, _u12550, _u12551, _u12549, _u12552)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u12547, _u12550), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u12548, _u12551), tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5867, plain, ( ~c_Fun_Oinj__on(_u12553, _u12554, _u12555, _u12556) | ~c_Fun_Oinj__on(_u12557, _u12558, _u12559, _u12560) | c_Fun_Oinj__on(tc_prod(_u12553, _u12557), tc_prod(_u12554, _u12558), c_Product__Type_Omap__pair(_u12553, _u12554, _u12557, _u12558, _u12555, _u12559), hAPP(hAPP(c_Product__Type_OSigma(_u12553, _u12557), _u12556), hAPP(c_COMBK(tc_fun(_u12557, tc_HOL_Obool), _u12553), _u12560))) )).
% 20.36/20.62 cnf(matrix-5868, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12561, _u12562)), hAPP(hAPP(c_Product__Type_OPair(_u12561, _u12562), _u12563), _u12564)), _u12565)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12566, _u12567)), hAPP(hAPP(c_Product__Type_OPair(_u12566, _u12567), hAPP(_u12568, _u12563)), hAPP(_u12569, _u12564))), hAPP(c_Set_Oimage(tc_prod(_u12561, _u12562), tc_prod(_u12566, _u12567), c_Product__Type_Omap__pair(_u12561, _u12566, _u12562, _u12567, _u12568, _u12569)), _u12565))) )).
% 20.36/20.62 cnf(matrix-5869, plain, ( ( hAPP(c_Product__Type_Ofst(_u12570, _u12571), hAPP(c_Product__Type_Omap__pair(_u12572, _u12570, _u12573, _u12571, _u12574, _u12575), _u12576)) = hAPP(_u12574, hAPP(c_Product__Type_Ofst(_u12572, _u12573), _u12576))) )).
% 20.36/20.62 cnf(matrix-5870, plain, ( ( hAPP(c_Product__Type_Omap__pair(_u12577, _u12578, _u12579, _u12580, _u12581, _u12582), hAPP(hAPP(c_Product__Type_OPair(_u12577, _u12579), _u12583), _u12584)) = hAPP(hAPP(c_Product__Type_OPair(_u12578, _u12580), hAPP(_u12581, _u12583)), hAPP(_u12582, _u12584))) )).
% 20.36/20.62 cnf(matrix-5871, plain, ( ( hAPP(c_Product__Type_Omap__pair(_u12585, _u12585, _u12586, _u12586, c_COMBI(_u12585), c_COMBI(_u12586)), _u12587) = _u12587) )).
% 20.36/20.62 cnf(matrix-5872, plain, ( ( hAPP(c_Product__Type_Osnd(_u12588, _u12589), hAPP(c_Product__Type_Omap__pair(_u12590, _u12588, _u12591, _u12589, _u12592, _u12593), _u12594)) = hAPP(_u12593, hAPP(c_Product__Type_Osnd(_u12590, _u12591), _u12594))) )).
% 20.36/20.62 cnf(matrix-5873, plain, ( ( c_Product__Type_Omap__pair(_u12595, _u12596, _u12597, _u12598, _u12599, _u12600) = hAPP(c_Product__Type_Oprod_Oprod__case(_u12595, _u12597, tc_prod(_u12596, _u12598)), hAPP(hAPP(c_COMBC(_u12595, tc_fun(_u12597, _u12598), tc_fun(_u12597, tc_prod(_u12596, _u12598))), hAPP(hAPP(c_COMBB(tc_fun(_u12598, tc_prod(_u12596, _u12598)), tc_fun(tc_fun(_u12597, _u12598), tc_fun(_u12597, tc_prod(_u12596, _u12598))), _u12595), c_COMBB(_u12598, tc_prod(_u12596, _u12598), _u12597)), hAPP(hAPP(c_COMBB(_u12596, tc_fun(_u12598, tc_prod(_u12596, _u12598)), _u12595), c_Product__Type_OPair(_u12596, _u12598)), _u12599))), _u12600))) )).
% 20.36/20.62 cnf(matrix-5874, plain, ( ( hAPP(c_Set_Oimage(_u12601, _u12602, _u12603), _u12604) != _u12605) | ( hAPP(c_Set_Oimage(_u12606, _u12607, _u12608), _u12609) != _u12610) | ( hAPP(c_Set_Oimage(tc_prod(_u12601, _u12606), tc_prod(_u12602, _u12607), c_Product__Type_Omap__pair(_u12601, _u12602, _u12606, _u12607, _u12603, _u12608)), hAPP(hAPP(c_Product__Type_OSigma(_u12601, _u12606), _u12604), hAPP(c_COMBK(tc_fun(_u12606, tc_HOL_Obool), _u12601), _u12609))) = hAPP(hAPP(c_Product__Type_OSigma(_u12602, _u12607), _u12605), hAPP(c_COMBK(tc_fun(_u12607, tc_HOL_Obool), _u12602), _u12610))) )).
% 20.36/20.62 cnf(matrix-5875, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12613, _u12614)), _u12615), hAPP(c_Set_Oimage(tc_prod(_u12616, _u12617), tc_prod(_u12613, _u12614), c_Product__Type_Omap__pair(_u12616, _u12613, _u12617, _u12614, _u12618, _u12619)), _u12620))) | ( _u12615 = hAPP(hAPP(c_Product__Type_OPair(_u12613, _u12614), hAPP(_u12618, skolem305(_u12620, _u12619, _u12618, _u12617, _u12616, _u12615, _u12614, _u12613))), hAPP(_u12619, skolem306(_u12620, _u12619, _u12618, _u12617, _u12616, _u12615, _u12614, _u12613)))) )).
% 20.36/20.62 cnf(matrix-5876, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12613, _u12614)), _u12615), hAPP(c_Set_Oimage(tc_prod(_u12616, _u12617), tc_prod(_u12613, _u12614), c_Product__Type_Omap__pair(_u12616, _u12613, _u12617, _u12614, _u12618, _u12619)), _u12620))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12616, _u12617)), hAPP(hAPP(c_Product__Type_OPair(_u12616, _u12617), skolem305(_u12620, _u12619, _u12618, _u12617, _u12616, _u12615, _u12614, _u12613)), skolem306(_u12620, _u12619, _u12618, _u12617, _u12616, _u12615, _u12614, _u12613))), _u12620)) )).
% 20.36/20.62 cnf(matrix-5877, plain, ( ~c_Relation_Orefl__on(_u12626, _u12628, _u12630) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12626, _u12626), tc_HOL_Obool)), _u12630), hAPP(hAPP(c_Product__Type_OSigma(_u12626, _u12626), _u12628), hAPP(c_COMBK(tc_fun(_u12626, tc_HOL_Obool), _u12626), _u12628)))) )).
% 20.36/20.62 cnf(matrix-5878, plain, ( ~c_Relation_Orefl__on(_u12626, _u12628, _u12630) | ~hBOOL(hAPP(hAPP(c_member(_u12626), _u12621), _u12628)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12626, _u12626)), hAPP(hAPP(c_Product__Type_OPair(_u12626, _u12626), _u12621), _u12621)), _u12630)) )).
% 20.36/20.62 cnf(matrix-5879, plain, ( c_Relation_Orefl__on(_u12627, _u12629, _u12631) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12627, _u12627), tc_HOL_Obool)), _u12631), hAPP(hAPP(c_Product__Type_OSigma(_u12627, _u12627), _u12629), hAPP(c_COMBK(tc_fun(_u12627, tc_HOL_Obool), _u12627), _u12629)))) | hBOOL(hAPP(hAPP(c_member(_u12627), skolem307(_u12631, _u12629, _u12627)), _u12629)) )).
% 20.36/20.62 cnf(matrix-5880, plain, ( c_Relation_Orefl__on(_u12627, _u12629, _u12631) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12627, _u12627), tc_HOL_Obool)), _u12631), hAPP(hAPP(c_Product__Type_OSigma(_u12627, _u12627), _u12629), hAPP(c_COMBK(tc_fun(_u12627, tc_HOL_Obool), _u12627), _u12629)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12627, _u12627)), hAPP(hAPP(c_Product__Type_OPair(_u12627, _u12627), skolem307(_u12631, _u12629, _u12627)), skolem307(_u12631, _u12629, _u12627))), _u12631)) )).
% 20.36/20.62 cnf(matrix-5881, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), _u12633), c_Int_OInteg)) | ( _u12633 = hAPP(c_Int_ORep__Integ, skolem308(_u12633))) )).
% 20.36/20.62 cnf(matrix-5882, plain, ( c_Relation_Orefl__on(_u12634, _u12635, c_Relation_OId__on(_u12634, _u12635)) )).
% 20.36/20.62 cnf(matrix-5883, plain, ( c_Relation_Orefl__on(_u12636, c_Orderings_Obot__class_Obot(tc_fun(_u12636, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12636, _u12636), tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5884, plain, ( ~c_Relation_Orefl__on(_u12637, _u12638, _u12639) | ~c_Relation_Orefl__on(_u12637, _u12640, _u12641) | c_Relation_Orefl__on(_u12637, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12637, tc_HOL_Obool)), _u12638), _u12640), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12637, _u12637), tc_HOL_Obool)), _u12639), _u12641)) )).
% 20.36/20.62 cnf(matrix-5885, plain, ( ~c_Relation_Orefl__on(_u12642, _u12643, _u12644) | ~c_Relation_Orefl__on(_u12642, _u12645, _u12646) | c_Relation_Orefl__on(_u12642, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12642, tc_HOL_Obool)), _u12643), _u12645), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12642, _u12642), tc_HOL_Obool)), _u12644), _u12646)) )).
% 20.36/20.62 cnf(matrix-5886, plain, ( ~c_Relation_Orefl__on(_u12647, _u12648, _u12649) | ~hBOOL(hAPP(hAPP(c_member(_u12647), _u12650), _u12648)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12647, _u12647)), hAPP(hAPP(c_Product__Type_OPair(_u12647, _u12647), _u12650), _u12650)), _u12649)) )).
% 20.36/20.62 cnf(matrix-5887, plain, ( ~c_Relation_Orefl__on(_u12651, _u12652, _u12653) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12651, _u12651)), hAPP(hAPP(c_Product__Type_OPair(_u12651, _u12651), _u12654), _u12655)), _u12653)) | hBOOL(hAPP(hAPP(c_member(_u12651), _u12654), _u12652)) )).
% 20.36/20.62 cnf(matrix-5888, plain, ( ~c_Relation_Orefl__on(_u12656, _u12657, _u12658) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12656, _u12656)), hAPP(hAPP(c_Product__Type_OPair(_u12656, _u12656), _u12659), _u12660)), _u12658)) | hBOOL(hAPP(hAPP(c_member(_u12656), _u12660), _u12657)) )).
% 20.36/20.62 cnf(matrix-5889, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12662, _u12662), tc_HOL_Obool)), _u12663), hAPP(hAPP(c_Product__Type_OSigma(_u12662, _u12662), _u12664), hAPP(c_COMBK(tc_fun(_u12662, tc_HOL_Obool), _u12662), _u12664)))) | c_Relation_Orefl__on(_u12662, _u12664, _u12663) | hBOOL(hAPP(hAPP(c_member(_u12662), skolem309(_u12664, _u12663, _u12662)), _u12664)) )).
% 20.36/20.62 cnf(matrix-5890, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12662, _u12662), tc_HOL_Obool)), _u12663), hAPP(hAPP(c_Product__Type_OSigma(_u12662, _u12662), _u12664), hAPP(c_COMBK(tc_fun(_u12662, tc_HOL_Obool), _u12662), _u12664)))) | c_Relation_Orefl__on(_u12662, _u12664, _u12663) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12662, _u12662)), hAPP(hAPP(c_Product__Type_OPair(_u12662, _u12662), skolem309(_u12664, _u12663, _u12662)), skolem309(_u12664, _u12663, _u12662))), _u12663)) )).
% 20.36/20.62 cnf(matrix-5891, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), _u12666), c_Int_OInteg)) | ~hBOOL(hAPP(_u12667, hAPP(c_Int_ORep__Integ, skolem310(_u12667, _u12666)))) | hBOOL(hAPP(_u12667, _u12666)) )).
% 20.36/20.62 cnf(matrix-5892, plain, ( ( _u12669 = c_Orderings_Obot__class_Obot(tc_fun(_u12670, tc_HOL_Obool))) | c_Fun_Oinj__on(_u12671, _u12672, _u12673, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u12670, tc_fun(_u12671, tc_HOL_Obool)), _u12669), _u12674)) | hBOOL(hAPP(hAPP(c_member(_u12670), skolem311(_u12674, _u12673, _u12672, _u12671, _u12670, _u12669)), _u12669)) )).
% 20.36/20.62 cnf(matrix-5893, plain, ( ( _u12669 = c_Orderings_Obot__class_Obot(tc_fun(_u12670, tc_HOL_Obool))) | c_Fun_Oinj__on(_u12671, _u12672, _u12673, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u12670, tc_fun(_u12671, tc_HOL_Obool)), _u12669), _u12674)) | ~c_Fun_Oinj__on(_u12671, _u12672, _u12673, hAPP(_u12674, skolem311(_u12674, _u12673, _u12672, _u12671, _u12670, _u12669))) )).
% 20.36/20.62 cnf(matrix-5894, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u12675)) | ( 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)), _u12675))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u12676))))) = 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)), _u12675))), 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, _u12676)))))) )).
% 20.36/20.62 cnf(matrix-5895, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u12677)) | ( 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)), _u12677))), 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, _u12678))))) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.62 cnf(matrix-5896, plain, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u12679)) | ( 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)), _u12679))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u12680)))) = 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)), _u12679))), 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, _u12680)))))) )).
% 20.36/20.62 cnf(matrix-5897, plain, ( ~hBOOL(hAPP(_u12681, _u12682)) | hBOOL(hAPP(hAPP(c_member(_u12683), _u12682), hAPP(c_Set_OCollect(_u12683), _u12681))) )).
% 20.36/20.62 cnf(matrix-5898, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u12684), hAPP(c_Set_OCollect(_u12684), hAPP(hAPP(c_COMBS(_u12684, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12684), c_fconj), _u12685)), _u12686)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12684), hAPP(c_Set_OCollect(_u12684), _u12685))) )).
% 20.36/20.62 cnf(matrix-5899, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u12684), hAPP(c_Set_OCollect(_u12684), hAPP(hAPP(c_COMBS(_u12684, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12684), c_fconj), _u12685)), _u12686)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12684), hAPP(c_Set_OCollect(_u12684), _u12686))) )).
% 20.36/20.62 cnf(matrix-5900, 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)), _u12687)))) )).
% 20.36/20.62 cnf(matrix-5901, 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)), _u12688)))) )).
% 20.36/20.62 cnf(matrix-5902, plain, ( ( hAPP(c_Set_OCollect(tc_prod(_u12689, _u12690)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12689, _u12690, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12689, tc_fun(_u12690, tc_HOL_Obool), tc_fun(_u12690, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12690, tc_HOL_Obool), tc_fun(_u12690, tc_HOL_Obool)), _u12689), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12690)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12689), c_fconj), _u12691))), _u12692))) = hAPP(hAPP(c_Product__Type_OSigma(_u12689, _u12690), hAPP(c_Set_OCollect(_u12689), _u12691)), hAPP(c_COMBK(tc_fun(_u12690, tc_HOL_Obool), _u12689), hAPP(c_Set_OCollect(_u12690), _u12692)))) )).
% 20.36/20.62 cnf(matrix-5903, plain, ( ( hAPP(c_Set_OCollect(tc_prod(_u12693, _u12694)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12693, _u12694, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u12693, tc_fun(_u12694, tc_HOL_Obool), tc_fun(_u12694, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12694, tc_HOL_Obool), tc_fun(_u12694, tc_HOL_Obool)), _u12693), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12694)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12693), c_fconj), _u12695))), _u12696))) = hAPP(hAPP(c_Product__Type_OSigma(_u12693, _u12694), hAPP(c_Set_OCollect(_u12693), _u12695)), hAPP(hAPP(c_COMBB(tc_fun(_u12694, tc_HOL_Obool), tc_fun(_u12694, tc_HOL_Obool), _u12693), c_Set_OCollect(_u12694)), _u12696))) )).
% 20.36/20.62 cnf(matrix-5904, plain, ( ( hAPP(c_Set_OCollect(_u12697), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12697), c_fNot), _u12698)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12697, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u12697), _u12698))) )).
% 20.36/20.62 cnf(matrix-5905, plain, ( ( hAPP(c_Set_OCollect(_u12699), hAPP(hAPP(c_COMBS(_u12699, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12699), c_fconj), _u12700)), _u12701)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12699, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u12699), _u12700)), hAPP(c_Set_OCollect(_u12699), _u12701))) )).
% 20.36/20.62 cnf(matrix-5906, plain, ( ( hAPP(c_Set_OCollect(_u12702), hAPP(hAPP(c_COMBS(_u12702, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12702), c_fdisj), _u12703)), _u12704)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12702, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u12702), _u12703)), hAPP(c_Set_OCollect(_u12702), _u12704))) )).
% 20.36/20.62 cnf(matrix-5907, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12708), hAPP(c_Set_OCollect(_u12708), hAPP(hAPP(c_COMBS(_u12708, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12708), c_fdisj), _u12710)), _u12712)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12708), hAPP(c_Set_OCollect(_u12708), _u12710))) )).
% 20.36/20.62 cnf(matrix-5908, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12708), hAPP(c_Set_OCollect(_u12708), hAPP(hAPP(c_COMBS(_u12708, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12708), c_fdisj), _u12710)), _u12712)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12708), hAPP(c_Set_OCollect(_u12708), _u12712))) )).
% 20.36/20.62 cnf(matrix-5909, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12709), hAPP(c_Set_OCollect(_u12709), _u12711))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12709), hAPP(c_Set_OCollect(_u12709), _u12713))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12709), hAPP(c_Set_OCollect(_u12709), hAPP(hAPP(c_COMBS(_u12709, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12709), c_fdisj), _u12711)), _u12713)))) )).
% 20.36/20.62 cnf(matrix-5910, plain, ( ( hAPP(c_Set_Ovimage(_u12714, _u12715, _u12716), hAPP(c_Set_OCollect(_u12715), _u12717)) = hAPP(c_Set_OCollect(_u12714), hAPP(hAPP(c_COMBB(_u12715, tc_HOL_Obool, _u12714), _u12717), _u12716))) )).
% 20.36/20.62 cnf(matrix-5911, plain, ( ( hAPP(c_Set_OCollect(_u12718), _u12719) = _u12719) )).
% 20.36/20.62 cnf(matrix-5912, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u12720, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u12720), hAPP(c_COMBK(tc_HOL_Obool, _u12720), c_fFalse))) )).
% 20.36/20.62 cnf(matrix-5913, plain, ( ~hBOOL(hAPP(_u12727, _u12721)) | ( hAPP(c_Set_OCollect(_u12725), _u12727) != c_Orderings_Obot__class_Obot(tc_fun(_u12725, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5914, plain, ( hBOOL(hAPP(_u12728, skolem312(_u12728))) | ( hAPP(c_Set_OCollect(_u12726), _u12728) = c_Orderings_Obot__class_Obot(tc_fun(_u12726, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5915, plain, ( ~hBOOL(hAPP(_u12735, _u12729)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u12733, tc_HOL_Obool)) != hAPP(c_Set_OCollect(_u12733), _u12735)) )).
% 20.36/20.62 cnf(matrix-5916, plain, ( hBOOL(hAPP(_u12736, skolem313(_u12736))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u12734, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u12734), _u12736)) )).
% 20.36/20.62 cnf(matrix-5917, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u12737), _u12738), hAPP(c_Set_OCollect(_u12737), _u12739)) = hAPP(c_Set_OCollect(_u12737), hAPP(hAPP(c_COMBS(_u12737, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12737), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12737), c_fNot), hAPP(hAPP(c_COMBC(_u12737, _u12737, tc_HOL_Obool), c_fequal), _u12738)))), _u12739))) )).
% 20.36/20.62 cnf(matrix-5918, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u12740, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u12740), hAPP(c_COMBK(tc_HOL_Obool, _u12740), c_fTrue))) )).
% 20.36/20.62 cnf(matrix-5919, plain, ( hBOOL(hAPP(_u12743, _u12742)) | ~hBOOL(hAPP(hAPP(c_member(_u12741), _u12742), hAPP(c_Set_OCollect(_u12741), _u12743))) )).
% 20.36/20.62 cnf(matrix-5920, plain, ( hBOOL(hAPP(_u12746, _u12745)) | ~hBOOL(hAPP(hAPP(c_member(_u12744), _u12745), hAPP(c_Set_OCollect(_u12744), _u12746))) )).
% 20.36/20.62 cnf(matrix-5921, plain, ( hBOOL(hAPP(_u12754, _u12752)) | ~hBOOL(hAPP(hAPP(c_member(_u12750), _u12752), hAPP(c_Set_OCollect(_u12750), _u12754))) )).
% 20.36/20.62 cnf(matrix-5922, plain, ( ~hBOOL(hAPP(_u12755, _u12753)) | hBOOL(hAPP(hAPP(c_member(_u12751), _u12753), hAPP(c_Set_OCollect(_u12751), _u12755))) )).
% 20.36/20.62 cnf(matrix-5923, plain, ( ( hAPP(c_Set_OCollect(_u12756), hAPP(hAPP(c_COMBC(_u12756, tc_fun(_u12756, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12756)), _u12757)) = _u12757) )).
% 20.36/20.62 cnf(matrix-5924, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u12758), _u12759), _u12760) = hAPP(c_Set_OCollect(_u12758), hAPP(hAPP(c_COMBS(_u12758, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12758), c_fdisj), hAPP(hAPP(c_COMBC(_u12758, _u12758, tc_HOL_Obool), c_fequal), _u12759))), hAPP(hAPP(c_COMBC(_u12758, tc_fun(_u12758, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12758)), _u12760)))) )).
% 20.36/20.62 cnf(matrix-5925, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u12761), _u12762), _u12763) = hAPP(c_Set_OCollect(_u12761), hAPP(hAPP(c_COMBS(_u12761, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12761), c_fdisj), hAPP(hAPP(c_COMBC(_u12761, _u12761, tc_HOL_Obool), c_fequal), _u12762))), hAPP(hAPP(c_COMBC(_u12761, tc_fun(_u12761, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12761)), _u12763)))) )).
% 20.36/20.62 cnf(matrix-5926, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12764, tc_HOL_Obool)), _u12765), _u12766) = hAPP(c_Set_OCollect(_u12764), hAPP(hAPP(c_COMBS(_u12764, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12764), c_fdisj), hAPP(hAPP(c_COMBC(_u12764, tc_fun(_u12764, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12764)), _u12765))), hAPP(hAPP(c_COMBC(_u12764, tc_fun(_u12764, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12764)), _u12766)))) )).
% 20.36/20.62 cnf(matrix-5927, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12771), _u12773), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12771, tc_HOL_Obool)), _u12775), hAPP(c_Set_OCollect(_u12771), _u12777)))) | hBOOL(hAPP(hAPP(c_member(_u12771), _u12773), _u12775)) )).
% 20.36/20.62 cnf(matrix-5928, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12771), _u12773), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12771, tc_HOL_Obool)), _u12775), hAPP(c_Set_OCollect(_u12771), _u12777)))) | hBOOL(hAPP(_u12777, _u12773)) )).
% 20.36/20.62 cnf(matrix-5929, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12772), _u12774), _u12776)) | ~hBOOL(hAPP(_u12778, _u12774)) | hBOOL(hAPP(hAPP(c_member(_u12772), _u12774), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12772, tc_HOL_Obool)), _u12776), hAPP(c_Set_OCollect(_u12772), _u12778)))) )).
% 20.36/20.62 cnf(matrix-5930, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12779, tc_HOL_Obool)), _u12780), _u12781) = hAPP(c_Set_OCollect(_u12779), hAPP(hAPP(c_COMBS(_u12779, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12779), c_fconj), hAPP(hAPP(c_COMBC(_u12779, tc_fun(_u12779, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12779)), _u12780))), hAPP(hAPP(c_COMBC(_u12779, tc_fun(_u12779, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12779)), _u12781)))) )).
% 20.36/20.62 cnf(matrix-5931, plain, ( ~hBOOL(hAPP(_u12785, _u12787)) | ( hAPP(c_Set_OCollect(_u12789), hAPP(hAPP(c_COMBS(_u12789, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12789), c_fconj), hAPP(hAPP(c_COMBC(_u12789, _u12789, tc_HOL_Obool), c_fequal), _u12787))), _u12785)) = hAPP(hAPP(c_Set_Oinsert(_u12789), _u12787), c_Orderings_Obot__class_Obot(tc_fun(_u12789, tc_HOL_Obool)))) )).
% 20.36/20.62 cnf(matrix-5932, plain, ( hBOOL(hAPP(_u12786, _u12788)) | ( hAPP(c_Set_OCollect(_u12790), hAPP(hAPP(c_COMBS(_u12790, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12790), c_fconj), hAPP(hAPP(c_COMBC(_u12790, _u12790, tc_HOL_Obool), c_fequal), _u12788))), _u12786)) = c_Orderings_Obot__class_Obot(tc_fun(_u12790, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5933, plain, ( ~hBOOL(hAPP(_u12794, _u12796)) | ( hAPP(c_Set_OCollect(_u12798), hAPP(hAPP(c_COMBS(_u12798, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12798), c_fconj), hAPP(c_fequal, _u12796))), _u12794)) = hAPP(hAPP(c_Set_Oinsert(_u12798), _u12796), c_Orderings_Obot__class_Obot(tc_fun(_u12798, tc_HOL_Obool)))) )).
% 20.36/20.62 cnf(matrix-5934, plain, ( hBOOL(hAPP(_u12795, _u12797)) | ( hAPP(c_Set_OCollect(_u12799), hAPP(hAPP(c_COMBS(_u12799, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12799), c_fconj), hAPP(c_fequal, _u12797))), _u12795)) = c_Orderings_Obot__class_Obot(tc_fun(_u12799, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5935, plain, ( ( hAPP(c_Set_OCollect(_u12800), hAPP(hAPP(c_COMBC(_u12800, _u12800, tc_HOL_Obool), c_fequal), _u12801)) = hAPP(hAPP(c_Set_Oinsert(_u12800), _u12801), c_Orderings_Obot__class_Obot(tc_fun(_u12800, tc_HOL_Obool)))) )).
% 20.36/20.62 cnf(matrix-5936, plain, ( ( hAPP(c_Set_OCollect(_u12802), hAPP(c_fequal, _u12803)) = hAPP(hAPP(c_Set_Oinsert(_u12802), _u12803), c_Orderings_Obot__class_Obot(tc_fun(_u12802, tc_HOL_Obool)))) )).
% 20.36/20.62 cnf(matrix-5937, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12804, tc_HOL_Obool)), _u12805), _u12806) = hAPP(c_Set_OCollect(_u12804), hAPP(hAPP(c_COMBS(_u12804, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12804), c_fconj), hAPP(hAPP(c_COMBC(_u12804, tc_fun(_u12804, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12804)), _u12805))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12804), c_fNot), hAPP(hAPP(c_COMBC(_u12804, tc_fun(_u12804, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12804)), _u12806))))) )).
% 20.36/20.62 cnf(matrix-5938, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12807), hAPP(c_Set_OCollect(_u12807), _u12808))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12807), hAPP(c_Set_OCollect(_u12807), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12807), c_fNot), _u12808)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12807), c_Orderings_Otop__class_Otop(tc_fun(_u12807, tc_HOL_Obool)))) )).
% 20.36/20.62 cnf(matrix-5939, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12807), hAPP(c_Set_OCollect(_u12807), _u12808))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12807), c_Orderings_Otop__class_Otop(tc_fun(_u12807, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12807), hAPP(c_Set_OCollect(_u12807), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12807), c_fNot), _u12808)))) )).
% 20.36/20.62 cnf(matrix-5940, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u12809), _u12810), _u12811) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12809, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u12809), hAPP(hAPP(c_COMBC(_u12809, _u12809, tc_HOL_Obool), c_fequal), _u12810))), _u12811)) )).
% 20.36/20.62 cnf(matrix-5941, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12812, tc_HOL_Obool)), _u12813) = hAPP(c_Set_OCollect(_u12812), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12812), c_fNot), hAPP(hAPP(c_COMBC(_u12812, tc_fun(_u12812, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12812)), _u12813)))) )).
% 20.36/20.62 cnf(matrix-5942, plain, ( ( hAPP(c_Set_Ovimage(_u12814, _u12815, _u12816), _u12817) = hAPP(c_Set_OCollect(_u12814), hAPP(hAPP(c_COMBC(_u12814, tc_fun(_u12815, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u12815, tc_fun(tc_fun(_u12815, tc_HOL_Obool), tc_HOL_Obool), _u12814), c_member(_u12815)), _u12816)), _u12817))) )).
% 20.36/20.62 cnf(matrix-5943, plain, ( ( hAPP(c_Set_OCollect(_u12818), hAPP(hAPP(c_COMBS(_u12818, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12818), c_fimplies), _u12819)), _u12820)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12818, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12818, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u12818), _u12819))), hAPP(c_Set_OCollect(_u12818), _u12820))) )).
% 20.36/20.62 cnf(matrix-5944, 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), _u12821)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u12822))))) )).
% 20.36/20.62 cnf(matrix-5945, plain, ( ~class_Groups_Ocomm__monoid__add(_u12823) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12824), _u12825)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12826), _u12827)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12824, _u12823), hAPP(hAPP(c_COMBS(_u12824, tc_fun(_u12826, tc_HOL_Obool), _u12823), hAPP(hAPP(c_COMBB(tc_fun(_u12826, _u12823), tc_fun(tc_fun(_u12826, tc_HOL_Obool), _u12823), _u12824), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12826, _u12823)), _u12828)), hAPP(hAPP(c_COMBB(tc_fun(_u12826, tc_HOL_Obool), tc_fun(_u12826, tc_HOL_Obool), _u12824), c_Set_OCollect(_u12826)), hAPP(hAPP(c_COMBB(tc_fun(_u12826, tc_HOL_Obool), tc_fun(_u12826, tc_HOL_Obool), _u12824), 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_fconj), hAPP(hAPP(c_COMBC(_u12826, tc_fun(_u12826, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12826)), _u12827)))), _u12829)))), _u12825) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12826, _u12823), hAPP(hAPP(c_COMBS(_u12826, tc_fun(_u12824, tc_HOL_Obool), _u12823), hAPP(hAPP(c_COMBB(tc_fun(_u12824, _u12823), tc_fun(tc_fun(_u12824, tc_HOL_Obool), _u12823), _u12826), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12824, _u12823)), hAPP(c_COMBC(_u12824, _u12826, _u12823), _u12828))), hAPP(hAPP(c_COMBB(tc_fun(_u12824, tc_HOL_Obool), tc_fun(_u12824, tc_HOL_Obool), _u12826), c_Set_OCollect(_u12824)), hAPP(hAPP(c_COMBB(tc_fun(_u12824, tc_HOL_Obool), tc_fun(_u12824, tc_HOL_Obool), _u12826), hAPP(c_COMBS(_u12824, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12824), c_fconj), hAPP(hAPP(c_COMBC(_u12824, tc_fun(_u12824, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12824)), _u12825)))), hAPP(c_COMBC(_u12824, _u12826, tc_HOL_Obool), _u12829))))), _u12827)) )).
% 20.36/20.62 cnf(matrix-5946, plain, ( ( hAPP(c_Set_Oimage(_u12830, _u12831, hAPP(hAPP(c_COMBS(_u12830, _u12831, _u12831), hAPP(hAPP(c_COMBS(_u12830, _u12831, tc_fun(_u12831, _u12831)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12831, tc_fun(_u12831, _u12831)), _u12830), c_If(_u12831)), _u12832)), _u12833)), _u12834)), _u12835) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12831, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12830, _u12831, _u12833), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12830, tc_HOL_Obool)), _u12835), hAPP(c_Set_OCollect(_u12830), _u12832)))), hAPP(c_Set_Oimage(_u12830, _u12831, _u12834), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12830, tc_HOL_Obool)), _u12835), hAPP(c_Set_OCollect(_u12830), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12830), c_fNot), _u12832)))))) )).
% 20.36/20.62 cnf(matrix-5947, plain, ( ( _u12836 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u12837, _u12838), 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)), _u12839)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12837), _u12836)) )).
% 20.36/20.62 cnf(matrix-5948, plain, ( ~class_Groups_Ocomm__monoid__add(_u12840) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12841), _u12842)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12841, _u12840), _u12843), hAPP(c_Set_OCollect(_u12841), hAPP(hAPP(c_COMBS(_u12841, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12841), c_fconj), hAPP(hAPP(c_COMBC(_u12841, tc_fun(_u12841, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12841)), _u12842))), hAPP(hAPP(c_COMBC(_u12841, tc_fun(_u12841, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12841)), _u12844)))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12841, _u12840), hAPP(hAPP(c_COMBC(_u12841, _u12840, _u12840), hAPP(hAPP(c_COMBS(_u12841, _u12840, tc_fun(_u12840, _u12840)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12840, tc_fun(_u12840, _u12840)), _u12841), c_If(_u12840)), hAPP(hAPP(c_COMBC(_u12841, tc_fun(_u12841, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12841)), _u12844))), _u12843)), c_Groups_Ozero__class_Ozero(_u12840))), _u12842)) )).
% 20.36/20.62 cnf(matrix-5949, plain, ( ~class_Groups_Ocomm__monoid__add(_u12845) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12846), _u12847)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12846, _u12845), _u12848), _u12847) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12849, _u12845), hAPP(hAPP(c_COMBB(tc_fun(_u12846, tc_HOL_Obool), _u12845, _u12849), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12846, _u12845), _u12848)), hAPP(hAPP(c_COMBB(tc_fun(_u12846, tc_HOL_Obool), tc_fun(_u12846, tc_HOL_Obool), _u12849), c_Set_OCollect(_u12846)), hAPP(hAPP(c_COMBB(tc_fun(_u12846, tc_HOL_Obool), tc_fun(_u12846, tc_HOL_Obool), _u12849), hAPP(c_COMBS(_u12846, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12846), c_fconj), hAPP(hAPP(c_COMBC(_u12846, tc_fun(_u12846, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12846)), _u12847)))), hAPP(c_COMBC(_u12846, _u12849, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u12849, tc_fun(_u12849, tc_HOL_Obool), _u12846), c_fequal), _u12850)))))), hAPP(c_Set_Oimage(_u12846, _u12849, _u12850), _u12847))) )).
% 20.36/20.62 cnf(matrix-5950, plain, ( ( hAPP(c_Relation_OImage(_u12851, _u12852, _u12853), hAPP(hAPP(c_Set_Oinsert(_u12851), _u12854), c_Orderings_Obot__class_Obot(tc_fun(_u12851, tc_HOL_Obool)))) = hAPP(c_Set_OCollect(_u12852), hAPP(hAPP(c_COMBC(_u12852, tc_fun(tc_prod(_u12851, _u12852), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u12851, _u12852), tc_fun(tc_fun(tc_prod(_u12851, _u12852), tc_HOL_Obool), tc_HOL_Obool), _u12852), c_member(tc_prod(_u12851, _u12852))), hAPP(c_Product__Type_OPair(_u12851, _u12852), _u12854))), _u12853))) )).
% 20.36/20.62 cnf(matrix-5951, plain, ( ~class_Groups_Ocomm__monoid__add(_u12855) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12856), _u12857)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12856, _u12855), hAPP(hAPP(c_COMBS(_u12856, _u12855, _u12855), hAPP(hAPP(c_COMBS(_u12856, _u12855, tc_fun(_u12855, _u12855)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12855, tc_fun(_u12855, _u12855)), _u12856), c_If(_u12855)), _u12858)), _u12859)), _u12860)), _u12857) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12855), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12856, _u12855), _u12859), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12856, tc_HOL_Obool)), _u12857), hAPP(c_Set_OCollect(_u12856), _u12858)))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12856, _u12855), _u12860), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12856, tc_HOL_Obool)), _u12857), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12856, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u12856), _u12858)))))) )).
% 20.36/20.62 cnf(matrix-5952, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12862), _u12863)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12864), _u12865)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12862, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u12864, tc_HOL_Obool), tc_Nat_Onat, _u12862), c_Finite__Set_Ocard(_u12864)), hAPP(hAPP(c_COMBB(tc_fun(_u12864, tc_HOL_Obool), tc_fun(_u12864, tc_HOL_Obool), _u12862), c_Set_OCollect(_u12864)), hAPP(hAPP(c_COMBB(tc_fun(_u12864, tc_HOL_Obool), tc_fun(_u12864, tc_HOL_Obool), _u12862), hAPP(c_COMBS(_u12864, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12864), c_fconj), hAPP(hAPP(c_COMBC(_u12864, tc_fun(_u12864, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12864)), _u12865)))), _u12866)))), _u12863) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u12867), hAPP(c_Finite__Set_Ocard(_u12864), _u12865))) | hBOOL(hAPP(hAPP(c_member(_u12864), skolem314(_u12867, _u12866, _u12865, _u12864, _u12863, _u12862)), _u12865)) )).
% 20.36/20.62 cnf(matrix-5953, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12862), _u12863)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12864), _u12865)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12862, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u12864, tc_HOL_Obool), tc_Nat_Onat, _u12862), c_Finite__Set_Ocard(_u12864)), hAPP(hAPP(c_COMBB(tc_fun(_u12864, tc_HOL_Obool), tc_fun(_u12864, tc_HOL_Obool), _u12862), c_Set_OCollect(_u12864)), hAPP(hAPP(c_COMBB(tc_fun(_u12864, tc_HOL_Obool), tc_fun(_u12864, tc_HOL_Obool), _u12862), hAPP(c_COMBS(_u12864, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12864), c_fconj), hAPP(hAPP(c_COMBC(_u12864, tc_fun(_u12864, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12864)), _u12865)))), _u12866)))), _u12863) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u12867), hAPP(c_Finite__Set_Ocard(_u12864), _u12865))) | ( hAPP(c_Finite__Set_Ocard(_u12862), hAPP(c_Set_OCollect(_u12862), hAPP(hAPP(c_COMBS(_u12862, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12862), c_fconj), hAPP(hAPP(c_COMBC(_u12862, tc_fun(_u12862, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12862)), _u12863))), hAPP(hAPP(c_COMBC(_u12862, _u12864, tc_HOL_Obool), _u12866), skolem314(_u12867, _u12866, _u12865, _u12864, _u12863, _u12862))))) != _u12867) )).
% 20.36/20.62 cnf(matrix-5954, plain, ( ~class_Orderings_Olinorder(_u12868) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12868), _u12869)) | ( _u12869 = c_Orderings_Obot__class_Obot(tc_fun(_u12868, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12868), _u12870)) | ( _u12870 = c_Orderings_Obot__class_Obot(tc_fun(_u12868, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12868), c_Big__Operators_Olattice_OSup__fin(_u12868, c_Orderings_Oord__class_Omax(_u12868), _u12869)), c_Big__Operators_Olattice_OSup__fin(_u12868, c_Orderings_Oord__class_Omax(_u12868), _u12870)) = c_Big__Operators_Olattice_OSup__fin(_u12868, c_Orderings_Oord__class_Omax(_u12868), hAPP(c_Set_OCollect(_u12868), hAPP(hAPP(c_COMBB(tc_fun(_u12868, tc_HOL_Obool), tc_HOL_Obool, _u12868), c_HOL_OEx(_u12868)), hAPP(hAPP(c_COMBB(tc_fun(_u12868, tc_fun(_u12868, tc_HOL_Obool)), tc_fun(_u12868, tc_HOL_Obool), _u12868), hAPP(c_COMBB(tc_fun(_u12868, tc_HOL_Obool), tc_HOL_Obool, _u12868), c_HOL_OEx(_u12868))), hAPP(hAPP(c_COMBC(_u12868, tc_fun(_u12868, tc_fun(_u12868, tc_HOL_Obool)), tc_fun(_u12868, tc_fun(_u12868, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12868, tc_fun(tc_fun(_u12868, tc_HOL_Obool), tc_fun(_u12868, tc_HOL_Obool))), tc_fun(tc_fun(_u12868, tc_fun(_u12868, tc_HOL_Obool)), tc_fun(_u12868, tc_fun(_u12868, tc_HOL_Obool))), _u12868), c_COMBS(_u12868, tc_fun(_u12868, tc_HOL_Obool), tc_fun(_u12868, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12868, tc_fun(_u12868, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u12868, tc_fun(tc_fun(_u12868, tc_HOL_Obool), tc_fun(_u12868, tc_HOL_Obool))), _u12868), hAPP(c_COMBB(tc_fun(_u12868, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12868, tc_HOL_Obool), tc_fun(_u12868, tc_HOL_Obool)), _u12868), c_COMBS(_u12868, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12868, tc_fun(_u12868, tc_HOL_Obool)), tc_fun(_u12868, tc_fun(_u12868, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u12868), hAPP(c_COMBB(tc_fun(_u12868, tc_HOL_Obool), tc_fun(_u12868, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12868), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12868), c_fconj))), hAPP(hAPP(c_COMBC(_u12868, tc_fun(_u12868, tc_fun(_u12868, _u12868)), tc_fun(_u12868, tc_fun(_u12868, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12868, _u12868), tc_fun(_u12868, tc_HOL_Obool)), tc_fun(tc_fun(_u12868, tc_fun(_u12868, _u12868)), tc_fun(_u12868, tc_fun(_u12868, tc_HOL_Obool))), _u12868), c_COMBB(tc_fun(_u12868, _u12868), tc_fun(_u12868, tc_HOL_Obool), _u12868)), hAPP(hAPP(c_COMBB(tc_fun(_u12868, tc_HOL_Obool), tc_fun(tc_fun(_u12868, _u12868), tc_fun(_u12868, tc_HOL_Obool)), _u12868), c_COMBB(_u12868, tc_HOL_Obool, _u12868)), c_fequal))), c_Orderings_Oord__class_Omin(_u12868)))))), hAPP(hAPP(c_COMBC(_u12868, tc_fun(_u12868, tc_HOL_Obool), tc_fun(_u12868, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12868, tc_HOL_Obool), tc_fun(_u12868, tc_HOL_Obool)), _u12868), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12868)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12868), c_fconj), hAPP(hAPP(c_COMBC(_u12868, tc_fun(_u12868, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12868)), _u12869)))), hAPP(hAPP(c_COMBC(_u12868, tc_fun(_u12868, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12868)), _u12870)))))))) )).
% 20.36/20.62 cnf(matrix-5955, plain, ( ~class_Orderings_Olinorder(_u12871) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12871), _u12872)) | ( _u12872 = c_Orderings_Obot__class_Obot(tc_fun(_u12871, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12871), _u12873), c_Big__Operators_Olattice_OSup__fin(_u12871, c_Orderings_Oord__class_Omax(_u12871), _u12872)) = c_Big__Operators_Olattice_OSup__fin(_u12871, c_Orderings_Oord__class_Omax(_u12871), hAPP(c_Set_OCollect(_u12871), hAPP(hAPP(c_COMBB(tc_fun(_u12871, tc_HOL_Obool), tc_HOL_Obool, _u12871), c_HOL_OEx(_u12871)), hAPP(hAPP(c_COMBC(_u12871, tc_fun(_u12871, tc_HOL_Obool), tc_fun(_u12871, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12871, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12871, tc_HOL_Obool), tc_fun(_u12871, tc_HOL_Obool)), _u12871), c_COMBS(_u12871, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12871, tc_HOL_Obool), tc_fun(_u12871, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12871), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12871), c_fconj)), hAPP(hAPP(c_COMBC(_u12871, tc_fun(_u12871, _u12871), tc_fun(_u12871, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12871, tc_HOL_Obool), tc_fun(tc_fun(_u12871, _u12871), tc_fun(_u12871, tc_HOL_Obool)), _u12871), c_COMBB(_u12871, tc_HOL_Obool, _u12871)), c_fequal)), hAPP(c_Orderings_Oord__class_Omin(_u12871), _u12873))))), hAPP(hAPP(c_COMBC(_u12871, tc_fun(_u12871, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12871)), _u12872)))))) )).
% 20.36/20.62 cnf(matrix-5956, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12874), _u12875)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u12874, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_fun(_u12874, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u12874, tc_HOL_Obool), tc_fun(_u12874, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u12874, tc_HOL_Obool))), _u12875)))) )).
% 20.36/20.62 cnf(matrix-5957, plain, ( ( hAPP(c_Set_OPow(_u12876), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12876, tc_HOL_Obool)), _u12877)) = hAPP(c_Set_OCollect(tc_fun(_u12876, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12876, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u12876, tc_HOL_Obool)), c_HOL_OEx(tc_fun(_u12876, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u12876, tc_HOL_Obool), tc_fun(tc_fun(_u12876, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12876, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12876, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u12876, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12876, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u12876, tc_HOL_Obool)), c_COMBS(tc_fun(_u12876, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12876, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12876, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u12876, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u12876, tc_HOL_Obool)), c_fconj)), hAPP(hAPP(c_COMBC(tc_fun(_u12876, tc_HOL_Obool), tc_fun(tc_fun(_u12876, tc_HOL_Obool), tc_fun(_u12876, tc_HOL_Obool)), tc_fun(tc_fun(_u12876, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12876, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u12876, tc_HOL_Obool), tc_fun(_u12876, tc_HOL_Obool)), tc_fun(tc_fun(_u12876, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u12876, tc_HOL_Obool)), c_COMBB(tc_fun(_u12876, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u12876, tc_HOL_Obool))), c_fequal)), c_Groups_Ouminus__class_Ouminus(tc_fun(_u12876, tc_HOL_Obool)))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12876, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u12876, tc_HOL_Obool)), hAPP(c_member(tc_fun(_u12876, tc_HOL_Obool)), _u12877)), c_Set_OPow(_u12876)))))) )).
% 20.36/20.62 cnf(matrix-5958, plain, ( ( hAPP(c_Set_OPow(_u12878), _u12879) = hAPP(c_Set_OCollect(tc_fun(_u12878, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u12878, tc_HOL_Obool), tc_fun(_u12878, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u12878, tc_HOL_Obool))), _u12879))) )).
% 20.36/20.62 cnf(matrix-5959, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12882), hAPP(c_Set_OCollect(_u12882), _u12883))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12884), hAPP(c_Set_OCollect(_u12884), hAPP(hAPP(c_COMBB(tc_fun(_u12882, tc_HOL_Obool), tc_HOL_Obool, _u12884), c_HOL_OEx(_u12882)), hAPP(hAPP(c_COMBB(tc_fun(_u12882, tc_HOL_Obool), tc_fun(_u12882, tc_HOL_Obool), _u12884), hAPP(c_COMBS(_u12882, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12882), c_fconj), _u12883))), _u12885))))) | ~hBOOL(hAPP(_u12883, _u12880)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12884), hAPP(c_Set_OCollect(_u12884), hAPP(hAPP(c_COMBC(_u12884, _u12882, tc_HOL_Obool), _u12885), _u12880)))) )).
% 20.36/20.62 cnf(matrix-5960, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12882), hAPP(c_Set_OCollect(_u12882), _u12883))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12884), hAPP(c_Set_OCollect(_u12884), hAPP(hAPP(c_COMBB(tc_fun(_u12882, tc_HOL_Obool), tc_HOL_Obool, _u12884), c_HOL_OEx(_u12882)), hAPP(hAPP(c_COMBB(tc_fun(_u12882, tc_HOL_Obool), tc_fun(_u12882, tc_HOL_Obool), _u12884), hAPP(c_COMBS(_u12882, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12882), c_fconj), _u12883))), _u12885))))) | hBOOL(hAPP(_u12883, skolem315(_u12885, _u12884, _u12883, _u12882))) )).
% 20.36/20.62 cnf(matrix-5961, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12882), hAPP(c_Set_OCollect(_u12882), _u12883))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12884), hAPP(c_Set_OCollect(_u12884), hAPP(hAPP(c_COMBB(tc_fun(_u12882, tc_HOL_Obool), tc_HOL_Obool, _u12884), c_HOL_OEx(_u12882)), hAPP(hAPP(c_COMBB(tc_fun(_u12882, tc_HOL_Obool), tc_fun(_u12882, tc_HOL_Obool), _u12884), hAPP(c_COMBS(_u12882, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12882), c_fconj), _u12883))), _u12885))))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12884), hAPP(c_Set_OCollect(_u12884), hAPP(hAPP(c_COMBC(_u12884, _u12882, tc_HOL_Obool), _u12885), skolem315(_u12885, _u12884, _u12883, _u12882))))) )).
% 20.36/20.62 cnf(matrix-5962, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12886), hAPP(c_Set_OCollect(_u12886), _u12887))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12888), hAPP(c_Set_OCollect(_u12888), hAPP(hAPP(c_COMBB(tc_fun(_u12886, tc_HOL_Obool), tc_HOL_Obool, _u12888), c_HOL_OEx(_u12886)), hAPP(hAPP(c_COMBC(_u12888, tc_fun(_u12886, tc_HOL_Obool), tc_fun(_u12886, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12886, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12886, tc_HOL_Obool), tc_fun(_u12886, tc_HOL_Obool)), _u12888), c_COMBS(_u12886, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12886, tc_HOL_Obool), tc_fun(_u12886, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12888), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12886), c_fconj)), hAPP(hAPP(c_COMBC(_u12888, tc_fun(_u12886, _u12888), tc_fun(_u12886, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12888, tc_HOL_Obool), tc_fun(tc_fun(_u12886, _u12888), tc_fun(_u12886, tc_HOL_Obool)), _u12888), c_COMBB(_u12888, tc_HOL_Obool, _u12886)), c_fequal)), _u12889)))), _u12887))))) )).
% 20.36/20.62 cnf(matrix-5963, plain, ( c_Fun_Oinj__on(tc_fun(_u12890, _u12891), tc_fun(tc_prod(_u12890, _u12891), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u12890, _u12891), tc_HOL_Obool), tc_fun(tc_prod(_u12890, _u12891), tc_HOL_Obool), tc_fun(_u12890, _u12891)), c_Set_OCollect(tc_prod(_u12890, _u12891))), hAPP(hAPP(c_COMBB(tc_fun(_u12890, tc_fun(_u12891, tc_HOL_Obool)), tc_fun(tc_prod(_u12890, _u12891), tc_HOL_Obool), tc_fun(_u12890, _u12891)), c_Product__Type_Oprod_Oprod__case(_u12890, _u12891, tc_HOL_Obool)), hAPP(c_COMBB(_u12891, tc_fun(_u12891, tc_HOL_Obool), _u12890), hAPP(c_COMBC(_u12891, _u12891, tc_HOL_Obool), c_fequal)))), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u12890, _u12891), tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5964, 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)))), _u12892))) )).
% 20.36/20.62 cnf(matrix-5965, plain, ( ( c_Wellfounded_Ofinite__psubset(_u12893) = hAPP(c_Set_OCollect(tc_prod(tc_fun(_u12893, tc_HOL_Obool), tc_fun(_u12893, tc_HOL_Obool))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(_u12893, tc_HOL_Obool), tc_fun(_u12893, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u12893, tc_HOL_Obool), tc_fun(tc_fun(_u12893, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12893, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12893, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u12893, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12893, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u12893, tc_HOL_Obool)), c_COMBS(tc_fun(_u12893, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12893, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12893, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u12893, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u12893, tc_HOL_Obool)), c_fconj)), c_Orderings_Oord__class_Oless(tc_fun(_u12893, tc_HOL_Obool))))), c_Finite__Set_Ofinite(_u12893))))) )).
% 20.36/20.62 cnf(matrix-5966, plain, ( ( hAPP(hAPP(c_Relation_Oinv__image(_u12894, _u12895), _u12896), _u12897) = hAPP(c_Set_OCollect(tc_prod(_u12895, _u12895)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12895, _u12895, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12895, tc_fun(tc_prod(_u12894, _u12894), tc_HOL_Obool), tc_fun(_u12895, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12895, tc_fun(tc_fun(tc_prod(_u12894, _u12894), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12894, _u12894), tc_HOL_Obool), tc_fun(_u12895, tc_HOL_Obool)), _u12895), c_COMBC(_u12895, tc_fun(tc_prod(_u12894, _u12894), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12895, tc_prod(_u12894, _u12894)), tc_fun(_u12895, tc_fun(tc_fun(tc_prod(_u12894, _u12894), tc_HOL_Obool), tc_HOL_Obool)), _u12895), hAPP(c_COMBB(tc_prod(_u12894, _u12894), tc_fun(tc_fun(tc_prod(_u12894, _u12894), tc_HOL_Obool), tc_HOL_Obool), _u12895), c_member(tc_prod(_u12894, _u12894)))), hAPP(hAPP(c_COMBC(_u12895, tc_fun(_u12895, _u12894), tc_fun(_u12895, tc_prod(_u12894, _u12894))), hAPP(hAPP(c_COMBB(tc_fun(_u12894, tc_prod(_u12894, _u12894)), tc_fun(tc_fun(_u12895, _u12894), tc_fun(_u12895, tc_prod(_u12894, _u12894))), _u12895), c_COMBB(_u12894, tc_prod(_u12894, _u12894), _u12895)), hAPP(hAPP(c_COMBB(_u12894, tc_fun(_u12894, tc_prod(_u12894, _u12894)), _u12895), c_Product__Type_OPair(_u12894, _u12894)), _u12897))), _u12897)))), _u12896)))) )).
% 20.36/20.62 cnf(matrix-5967, 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)))), _u12898)) = 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), _u12898), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))))) )).
% 20.36/20.62 cnf(matrix-5968, plain, ( ( hAPP(c_Set_OCollect(tc_Nat_Onat), _u12899) = 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), _u12899), c_Int_Onat))))) )).
% 20.36/20.62 cnf(matrix-5969, plain, ( ~class_Groups_Olinordered__ab__semigroup__add(_u12900) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12900), _u12901)) | ( _u12901 = c_Orderings_Obot__class_Obot(tc_fun(_u12900, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12900), _u12902), c_Big__Operators_Olinorder__class_OMin(_u12900, _u12901)) = c_Big__Operators_Olinorder__class_OMin(_u12900, hAPP(c_Set_OCollect(_u12900), hAPP(hAPP(c_COMBB(tc_fun(_u12900, tc_HOL_Obool), tc_HOL_Obool, _u12900), c_HOL_OEx(_u12900)), hAPP(hAPP(c_COMBC(_u12900, tc_fun(_u12900, tc_HOL_Obool), tc_fun(_u12900, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12900, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12900, tc_HOL_Obool), tc_fun(_u12900, tc_HOL_Obool)), _u12900), c_COMBS(_u12900, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12900, tc_HOL_Obool), tc_fun(_u12900, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12900), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12900), c_fconj)), hAPP(hAPP(c_COMBC(_u12900, tc_fun(_u12900, _u12900), tc_fun(_u12900, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12900, tc_HOL_Obool), tc_fun(tc_fun(_u12900, _u12900), tc_fun(_u12900, tc_HOL_Obool)), _u12900), c_COMBB(_u12900, tc_HOL_Obool, _u12900)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u12900), _u12902))))), hAPP(hAPP(c_COMBC(_u12900, tc_fun(_u12900, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12900)), _u12901)))))) )).
% 20.36/20.62 cnf(matrix-5970, plain, ( ~class_Groups_Olinordered__ab__semigroup__add(_u12903) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12903), _u12904)) | ( _u12904 = c_Orderings_Obot__class_Obot(tc_fun(_u12903, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12903), _u12905), c_Big__Operators_Olinorder__class_OMax(_u12903, _u12904)) = c_Big__Operators_Olinorder__class_OMax(_u12903, hAPP(c_Set_OCollect(_u12903), hAPP(hAPP(c_COMBB(tc_fun(_u12903, tc_HOL_Obool), tc_HOL_Obool, _u12903), c_HOL_OEx(_u12903)), hAPP(hAPP(c_COMBC(_u12903, tc_fun(_u12903, tc_HOL_Obool), tc_fun(_u12903, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12903, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12903, tc_HOL_Obool), tc_fun(_u12903, tc_HOL_Obool)), _u12903), c_COMBS(_u12903, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12903, tc_HOL_Obool), tc_fun(_u12903, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12903), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12903), c_fconj)), hAPP(hAPP(c_COMBC(_u12903, tc_fun(_u12903, _u12903), tc_fun(_u12903, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12903, tc_HOL_Obool), tc_fun(tc_fun(_u12903, _u12903), tc_fun(_u12903, tc_HOL_Obool)), _u12903), c_COMBB(_u12903, tc_HOL_Obool, _u12903)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u12903), _u12905))))), hAPP(hAPP(c_COMBC(_u12903, tc_fun(_u12903, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12903)), _u12904)))))) )).
% 20.36/20.62 cnf(matrix-5971, plain, ( ~class_Lattices_Odistrib__lattice(_u12906) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12906), _u12907)) | ( _u12907 = c_Orderings_Obot__class_Obot(tc_fun(_u12906, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12906), _u12908)) | ( _u12908 = c_Orderings_Obot__class_Obot(tc_fun(_u12906, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12906), c_Big__Operators_Olattice__class_OInf__fin(_u12906, _u12907)), c_Big__Operators_Olattice__class_OInf__fin(_u12906, _u12908)) = c_Big__Operators_Olattice__class_OInf__fin(_u12906, hAPP(c_Set_OCollect(_u12906), hAPP(hAPP(c_COMBB(tc_fun(_u12906, tc_HOL_Obool), tc_HOL_Obool, _u12906), c_HOL_OEx(_u12906)), hAPP(hAPP(c_COMBB(tc_fun(_u12906, tc_fun(_u12906, tc_HOL_Obool)), tc_fun(_u12906, tc_HOL_Obool), _u12906), hAPP(c_COMBB(tc_fun(_u12906, tc_HOL_Obool), tc_HOL_Obool, _u12906), c_HOL_OEx(_u12906))), hAPP(hAPP(c_COMBC(_u12906, tc_fun(_u12906, tc_fun(_u12906, tc_HOL_Obool)), tc_fun(_u12906, tc_fun(_u12906, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12906, tc_fun(tc_fun(_u12906, tc_HOL_Obool), tc_fun(_u12906, tc_HOL_Obool))), tc_fun(tc_fun(_u12906, tc_fun(_u12906, tc_HOL_Obool)), tc_fun(_u12906, tc_fun(_u12906, tc_HOL_Obool))), _u12906), c_COMBS(_u12906, tc_fun(_u12906, tc_HOL_Obool), tc_fun(_u12906, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12906, tc_fun(_u12906, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u12906, tc_fun(tc_fun(_u12906, tc_HOL_Obool), tc_fun(_u12906, tc_HOL_Obool))), _u12906), hAPP(c_COMBB(tc_fun(_u12906, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12906, tc_HOL_Obool), tc_fun(_u12906, tc_HOL_Obool)), _u12906), c_COMBS(_u12906, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12906, tc_fun(_u12906, tc_HOL_Obool)), tc_fun(_u12906, tc_fun(_u12906, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u12906), hAPP(c_COMBB(tc_fun(_u12906, tc_HOL_Obool), tc_fun(_u12906, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12906), 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_fun(_u12906, _u12906)), tc_fun(_u12906, tc_fun(_u12906, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12906, _u12906), tc_fun(_u12906, tc_HOL_Obool)), tc_fun(tc_fun(_u12906, tc_fun(_u12906, _u12906)), tc_fun(_u12906, tc_fun(_u12906, tc_HOL_Obool))), _u12906), c_COMBB(tc_fun(_u12906, _u12906), tc_fun(_u12906, tc_HOL_Obool), _u12906)), hAPP(hAPP(c_COMBB(tc_fun(_u12906, tc_HOL_Obool), tc_fun(tc_fun(_u12906, _u12906), tc_fun(_u12906, tc_HOL_Obool)), _u12906), c_COMBB(_u12906, tc_HOL_Obool, _u12906)), c_fequal))), c_Lattices_Osemilattice__sup__class_Osup(_u12906)))))), hAPP(hAPP(c_COMBC(_u12906, tc_fun(_u12906, tc_HOL_Obool), tc_fun(_u12906, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12906, tc_HOL_Obool), tc_fun(_u12906, tc_HOL_Obool)), _u12906), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12906)), 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_COMBC(_u12906, tc_fun(_u12906, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12906)), _u12908)))))))) )).
% 20.36/20.62 cnf(matrix-5972, plain, ( ~class_Lattices_Odistrib__lattice(_u12909) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12909), _u12910)) | ( _u12910 = c_Orderings_Obot__class_Obot(tc_fun(_u12909, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12909), _u12911), c_Big__Operators_Olattice__class_OInf__fin(_u12909, _u12910)) = c_Big__Operators_Olattice__class_OInf__fin(_u12909, hAPP(c_Set_OCollect(_u12909), hAPP(hAPP(c_COMBB(tc_fun(_u12909, tc_HOL_Obool), tc_HOL_Obool, _u12909), c_HOL_OEx(_u12909)), hAPP(hAPP(c_COMBC(_u12909, tc_fun(_u12909, tc_HOL_Obool), tc_fun(_u12909, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12909, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12909, tc_HOL_Obool), tc_fun(_u12909, tc_HOL_Obool)), _u12909), c_COMBS(_u12909, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12909, tc_HOL_Obool), tc_fun(_u12909, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12909), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12909), c_fconj)), hAPP(hAPP(c_COMBC(_u12909, tc_fun(_u12909, _u12909), tc_fun(_u12909, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12909, tc_HOL_Obool), tc_fun(tc_fun(_u12909, _u12909), tc_fun(_u12909, tc_HOL_Obool)), _u12909), c_COMBB(_u12909, tc_HOL_Obool, _u12909)), c_fequal)), hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12909), _u12911))))), hAPP(hAPP(c_COMBC(_u12909, tc_fun(_u12909, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12909)), _u12910)))))) )).
% 20.36/20.62 cnf(matrix-5973, plain, ( ~class_Lattices_Odistrib__lattice(_u12912) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12912), _u12913)) | ( _u12913 = c_Orderings_Obot__class_Obot(tc_fun(_u12912, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12912), _u12914)) | ( _u12914 = c_Orderings_Obot__class_Obot(tc_fun(_u12912, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12912), c_Big__Operators_Olattice__class_OSup__fin(_u12912, _u12913)), c_Big__Operators_Olattice__class_OSup__fin(_u12912, _u12914)) = c_Big__Operators_Olattice__class_OSup__fin(_u12912, hAPP(c_Set_OCollect(_u12912), hAPP(hAPP(c_COMBB(tc_fun(_u12912, tc_HOL_Obool), tc_HOL_Obool, _u12912), c_HOL_OEx(_u12912)), hAPP(hAPP(c_COMBB(tc_fun(_u12912, tc_fun(_u12912, tc_HOL_Obool)), tc_fun(_u12912, tc_HOL_Obool), _u12912), hAPP(c_COMBB(tc_fun(_u12912, tc_HOL_Obool), tc_HOL_Obool, _u12912), c_HOL_OEx(_u12912))), hAPP(hAPP(c_COMBC(_u12912, tc_fun(_u12912, tc_fun(_u12912, tc_HOL_Obool)), tc_fun(_u12912, tc_fun(_u12912, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12912, tc_fun(tc_fun(_u12912, tc_HOL_Obool), tc_fun(_u12912, tc_HOL_Obool))), tc_fun(tc_fun(_u12912, tc_fun(_u12912, tc_HOL_Obool)), tc_fun(_u12912, tc_fun(_u12912, tc_HOL_Obool))), _u12912), c_COMBS(_u12912, tc_fun(_u12912, tc_HOL_Obool), tc_fun(_u12912, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12912, tc_fun(_u12912, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u12912, tc_fun(tc_fun(_u12912, tc_HOL_Obool), tc_fun(_u12912, tc_HOL_Obool))), _u12912), hAPP(c_COMBB(tc_fun(_u12912, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12912, tc_HOL_Obool), tc_fun(_u12912, tc_HOL_Obool)), _u12912), c_COMBS(_u12912, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12912, tc_fun(_u12912, tc_HOL_Obool)), tc_fun(_u12912, tc_fun(_u12912, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u12912), hAPP(c_COMBB(tc_fun(_u12912, tc_HOL_Obool), tc_fun(_u12912, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12912), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12912), c_fconj))), hAPP(hAPP(c_COMBC(_u12912, tc_fun(_u12912, tc_fun(_u12912, _u12912)), tc_fun(_u12912, tc_fun(_u12912, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12912, _u12912), tc_fun(_u12912, tc_HOL_Obool)), tc_fun(tc_fun(_u12912, tc_fun(_u12912, _u12912)), tc_fun(_u12912, tc_fun(_u12912, tc_HOL_Obool))), _u12912), c_COMBB(tc_fun(_u12912, _u12912), tc_fun(_u12912, tc_HOL_Obool), _u12912)), hAPP(hAPP(c_COMBB(tc_fun(_u12912, tc_HOL_Obool), tc_fun(tc_fun(_u12912, _u12912), tc_fun(_u12912, tc_HOL_Obool)), _u12912), c_COMBB(_u12912, tc_HOL_Obool, _u12912)), c_fequal))), c_Lattices_Osemilattice__inf__class_Oinf(_u12912)))))), hAPP(hAPP(c_COMBC(_u12912, tc_fun(_u12912, tc_HOL_Obool), tc_fun(_u12912, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12912, tc_HOL_Obool), tc_fun(_u12912, tc_HOL_Obool)), _u12912), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12912)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12912), c_fconj), hAPP(hAPP(c_COMBC(_u12912, tc_fun(_u12912, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12912)), _u12913)))), hAPP(hAPP(c_COMBC(_u12912, tc_fun(_u12912, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12912)), _u12914)))))))) )).
% 20.36/20.62 cnf(matrix-5974, plain, ( ~class_Lattices_Odistrib__lattice(_u12915) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12915), _u12916)) | ( _u12916 = c_Orderings_Obot__class_Obot(tc_fun(_u12915, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12915), _u12917), c_Big__Operators_Olattice__class_OSup__fin(_u12915, _u12916)) = c_Big__Operators_Olattice__class_OSup__fin(_u12915, hAPP(c_Set_OCollect(_u12915), hAPP(hAPP(c_COMBB(tc_fun(_u12915, tc_HOL_Obool), tc_HOL_Obool, _u12915), c_HOL_OEx(_u12915)), hAPP(hAPP(c_COMBC(_u12915, tc_fun(_u12915, tc_HOL_Obool), tc_fun(_u12915, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12915, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12915, tc_HOL_Obool), tc_fun(_u12915, tc_HOL_Obool)), _u12915), c_COMBS(_u12915, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12915, tc_HOL_Obool), tc_fun(_u12915, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12915), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12915), c_fconj)), hAPP(hAPP(c_COMBC(_u12915, tc_fun(_u12915, _u12915), tc_fun(_u12915, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12915, tc_HOL_Obool), tc_fun(tc_fun(_u12915, _u12915), tc_fun(_u12915, tc_HOL_Obool)), _u12915), c_COMBB(_u12915, tc_HOL_Obool, _u12915)), c_fequal)), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12915), _u12917))))), hAPP(hAPP(c_COMBC(_u12915, tc_fun(_u12915, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12915)), _u12916)))))) )).
% 20.36/20.62 cnf(matrix-5975, plain, ( ~class_Orderings_Olinorder(_u12918) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12918), _u12919)) | ( _u12919 = c_Orderings_Obot__class_Obot(tc_fun(_u12918, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12918), _u12920), c_Big__Operators_Olattice_OInf__fin(_u12918, c_Orderings_Oord__class_Omin(_u12918), _u12919)) = c_Big__Operators_Olattice_OInf__fin(_u12918, c_Orderings_Oord__class_Omin(_u12918), hAPP(c_Set_OCollect(_u12918), hAPP(hAPP(c_COMBB(tc_fun(_u12918, tc_HOL_Obool), tc_HOL_Obool, _u12918), c_HOL_OEx(_u12918)), hAPP(hAPP(c_COMBC(_u12918, tc_fun(_u12918, tc_HOL_Obool), tc_fun(_u12918, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12918, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12918, tc_HOL_Obool), tc_fun(_u12918, tc_HOL_Obool)), _u12918), c_COMBS(_u12918, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12918, tc_HOL_Obool), tc_fun(_u12918, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12918), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12918), c_fconj)), hAPP(hAPP(c_COMBC(_u12918, tc_fun(_u12918, _u12918), tc_fun(_u12918, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12918, tc_HOL_Obool), tc_fun(tc_fun(_u12918, _u12918), tc_fun(_u12918, tc_HOL_Obool)), _u12918), c_COMBB(_u12918, tc_HOL_Obool, _u12918)), c_fequal)), hAPP(c_Orderings_Oord__class_Omax(_u12918), _u12920))))), hAPP(hAPP(c_COMBC(_u12918, tc_fun(_u12918, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12918)), _u12919)))))) )).
% 20.36/20.62 cnf(matrix-5976, plain, ( ~class_Orderings_Olinorder(_u12921) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12921), _u12922)) | ( _u12922 = c_Orderings_Obot__class_Obot(tc_fun(_u12921, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12921), _u12923)) | ( _u12923 = c_Orderings_Obot__class_Obot(tc_fun(_u12921, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12921), c_Big__Operators_Olattice_OInf__fin(_u12921, c_Orderings_Oord__class_Omin(_u12921), _u12922)), c_Big__Operators_Olattice_OInf__fin(_u12921, c_Orderings_Oord__class_Omin(_u12921), _u12923)) = c_Big__Operators_Olattice_OInf__fin(_u12921, c_Orderings_Oord__class_Omin(_u12921), hAPP(c_Set_OCollect(_u12921), hAPP(hAPP(c_COMBB(tc_fun(_u12921, tc_HOL_Obool), tc_HOL_Obool, _u12921), c_HOL_OEx(_u12921)), hAPP(hAPP(c_COMBB(tc_fun(_u12921, tc_fun(_u12921, tc_HOL_Obool)), tc_fun(_u12921, tc_HOL_Obool), _u12921), hAPP(c_COMBB(tc_fun(_u12921, tc_HOL_Obool), tc_HOL_Obool, _u12921), c_HOL_OEx(_u12921))), hAPP(hAPP(c_COMBC(_u12921, tc_fun(_u12921, tc_fun(_u12921, tc_HOL_Obool)), tc_fun(_u12921, tc_fun(_u12921, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12921, tc_fun(tc_fun(_u12921, tc_HOL_Obool), tc_fun(_u12921, tc_HOL_Obool))), tc_fun(tc_fun(_u12921, tc_fun(_u12921, tc_HOL_Obool)), tc_fun(_u12921, tc_fun(_u12921, tc_HOL_Obool))), _u12921), c_COMBS(_u12921, tc_fun(_u12921, tc_HOL_Obool), tc_fun(_u12921, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12921, tc_fun(_u12921, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u12921, tc_fun(tc_fun(_u12921, tc_HOL_Obool), tc_fun(_u12921, tc_HOL_Obool))), _u12921), hAPP(c_COMBB(tc_fun(_u12921, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12921, tc_HOL_Obool), tc_fun(_u12921, tc_HOL_Obool)), _u12921), c_COMBS(_u12921, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12921, tc_fun(_u12921, tc_HOL_Obool)), tc_fun(_u12921, tc_fun(_u12921, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u12921), hAPP(c_COMBB(tc_fun(_u12921, tc_HOL_Obool), tc_fun(_u12921, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12921), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12921), c_fconj))), hAPP(hAPP(c_COMBC(_u12921, tc_fun(_u12921, tc_fun(_u12921, _u12921)), tc_fun(_u12921, tc_fun(_u12921, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12921, _u12921), tc_fun(_u12921, tc_HOL_Obool)), tc_fun(tc_fun(_u12921, tc_fun(_u12921, _u12921)), tc_fun(_u12921, tc_fun(_u12921, tc_HOL_Obool))), _u12921), c_COMBB(tc_fun(_u12921, _u12921), tc_fun(_u12921, tc_HOL_Obool), _u12921)), hAPP(hAPP(c_COMBB(tc_fun(_u12921, tc_HOL_Obool), tc_fun(tc_fun(_u12921, _u12921), tc_fun(_u12921, tc_HOL_Obool)), _u12921), c_COMBB(_u12921, tc_HOL_Obool, _u12921)), c_fequal))), c_Orderings_Oord__class_Omax(_u12921)))))), hAPP(hAPP(c_COMBC(_u12921, tc_fun(_u12921, tc_HOL_Obool), tc_fun(_u12921, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12921, tc_HOL_Obool), tc_fun(_u12921, tc_HOL_Obool)), _u12921), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12921)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12921), c_fconj), hAPP(hAPP(c_COMBC(_u12921, tc_fun(_u12921, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12921)), _u12922)))), hAPP(hAPP(c_COMBC(_u12921, tc_fun(_u12921, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12921)), _u12923)))))))) )).
% 20.36/20.62 cnf(matrix-5977, plain, ( ( c_Nitpick_Oprod(_u12924, _u12925, _u12926, _u12927) = hAPP(c_Set_OCollect(tc_prod(_u12924, _u12925)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12924, _u12925, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12924, tc_fun(_u12925, tc_HOL_Obool), tc_fun(_u12925, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12925, tc_HOL_Obool), tc_fun(_u12925, tc_HOL_Obool)), _u12924), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12925)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12924), c_fconj), hAPP(hAPP(c_COMBC(_u12924, tc_fun(_u12924, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12924)), _u12926)))), hAPP(hAPP(c_COMBC(_u12925, tc_fun(_u12925, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12925)), _u12927))))) )).
% 20.36/20.62 cnf(matrix-5978, plain, ( ( c_Int_Oint__ge__less__than(_u12928) = 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), _u12928)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 20.36/20.62 cnf(matrix-5979, plain, ( ( c_Int_Oint__ge__less__than2(_u12929) = 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), _u12929)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 20.36/20.62 cnf(matrix-5980, plain, ( ~c_Predicate_Oreflp(_u12932, _u12934) | c_Relation_Orefl__on(_u12932, c_Orderings_Otop__class_Otop(tc_fun(_u12932, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u12932, _u12932)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12932, _u12932, tc_HOL_Obool), _u12934))) )).
% 20.36/20.62 cnf(matrix-5981, plain, ( ~c_Relation_Orefl__on(_u12933, c_Orderings_Otop__class_Otop(tc_fun(_u12933, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u12933, _u12933)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12933, _u12933, tc_HOL_Obool), _u12935))) | c_Predicate_Oreflp(_u12933, _u12935) )).
% 20.36/20.62 cnf(matrix-5982, plain, ( ~class_Rings_Osemiring__0(_u12936) | ~c_Fun_Oinj__on(tc_prod(_u12937, _u12938), _u12936, hAPP(c_Product__Type_Oprod_Oprod__case(_u12937, _u12938, _u12936), hAPP(hAPP(c_COMBC(_u12937, tc_fun(_u12938, _u12936), tc_fun(_u12938, _u12936)), hAPP(hAPP(c_COMBB(tc_fun(_u12936, _u12936), tc_fun(tc_fun(_u12938, _u12936), tc_fun(_u12938, _u12936)), _u12937), c_COMBB(_u12936, _u12936, _u12938)), hAPP(hAPP(c_COMBB(_u12936, tc_fun(_u12936, _u12936), _u12937), c_Groups_Otimes__class_Otimes(_u12936)), _u12939))), _u12940)), hAPP(hAPP(c_Product__Type_OSigma(_u12937, _u12938), _u12941), hAPP(c_COMBK(tc_fun(_u12938, tc_HOL_Obool), _u12937), _u12942))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12936), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12937, _u12936), _u12939), _u12941)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12938, _u12936), _u12940), _u12942)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12936, _u12936), c_Fun_Oid(_u12936)), hAPP(c_Set_OCollect(_u12936), hAPP(hAPP(c_COMBB(tc_fun(_u12937, tc_HOL_Obool), tc_HOL_Obool, _u12936), c_HOL_OEx(_u12937)), hAPP(hAPP(c_COMBB(tc_fun(_u12937, tc_fun(_u12938, tc_HOL_Obool)), tc_fun(_u12937, tc_HOL_Obool), _u12936), hAPP(c_COMBB(tc_fun(_u12938, tc_HOL_Obool), tc_HOL_Obool, _u12937), c_HOL_OEx(_u12938))), hAPP(hAPP(c_COMBC(_u12936, tc_fun(_u12937, tc_fun(_u12938, tc_HOL_Obool)), tc_fun(_u12937, tc_fun(_u12938, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12937, tc_fun(tc_fun(_u12938, tc_HOL_Obool), tc_fun(_u12938, tc_HOL_Obool))), tc_fun(tc_fun(_u12937, tc_fun(_u12938, tc_HOL_Obool)), tc_fun(_u12937, tc_fun(_u12938, tc_HOL_Obool))), _u12936), c_COMBS(_u12937, tc_fun(_u12938, tc_HOL_Obool), tc_fun(_u12938, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12937, tc_fun(_u12938, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u12937, tc_fun(tc_fun(_u12938, tc_HOL_Obool), tc_fun(_u12938, tc_HOL_Obool))), _u12936), hAPP(c_COMBB(tc_fun(_u12938, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12938, tc_HOL_Obool), tc_fun(_u12938, tc_HOL_Obool)), _u12937), c_COMBS(_u12938, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12937, tc_fun(_u12938, tc_HOL_Obool)), tc_fun(_u12937, tc_fun(_u12938, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u12936), hAPP(c_COMBB(tc_fun(_u12938, tc_HOL_Obool), tc_fun(_u12938, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12937), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12938), c_fconj))), hAPP(hAPP(c_COMBC(_u12936, tc_fun(_u12937, tc_fun(_u12938, _u12936)), tc_fun(_u12937, tc_fun(_u12938, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12938, _u12936), tc_fun(_u12938, tc_HOL_Obool)), tc_fun(tc_fun(_u12937, tc_fun(_u12938, _u12936)), tc_fun(_u12937, tc_fun(_u12938, tc_HOL_Obool))), _u12936), c_COMBB(tc_fun(_u12938, _u12936), tc_fun(_u12938, tc_HOL_Obool), _u12937)), hAPP(hAPP(c_COMBB(tc_fun(_u12936, tc_HOL_Obool), tc_fun(tc_fun(_u12938, _u12936), tc_fun(_u12938, tc_HOL_Obool)), _u12936), c_COMBB(_u12936, tc_HOL_Obool, _u12938)), c_fequal))), hAPP(hAPP(c_COMBC(_u12937, tc_fun(_u12938, _u12936), tc_fun(_u12938, _u12936)), hAPP(hAPP(c_COMBB(tc_fun(_u12936, _u12936), tc_fun(tc_fun(_u12938, _u12936), tc_fun(_u12938, _u12936)), _u12937), c_COMBB(_u12936, _u12936, _u12938)), hAPP(hAPP(c_COMBB(_u12936, tc_fun(_u12936, _u12936), _u12937), c_Groups_Otimes__class_Otimes(_u12936)), _u12939))), _u12940)))))), hAPP(hAPP(c_COMBC(_u12937, tc_fun(_u12938, tc_HOL_Obool), tc_fun(_u12938, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12938, tc_HOL_Obool), tc_fun(_u12938, tc_HOL_Obool)), _u12937), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12938)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12937), c_fconj), hAPP(hAPP(c_COMBC(_u12937, tc_fun(_u12937, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12937)), _u12941)))), hAPP(hAPP(c_COMBC(_u12938, tc_fun(_u12938, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12938)), _u12942)))))))) )).
% 20.36/20.62 cnf(matrix-5983, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12944), _u12945)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12946), _u12947)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12944, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u12946, tc_HOL_Obool), tc_Nat_Onat, _u12944), c_Finite__Set_Ocard(_u12946)), hAPP(hAPP(c_COMBB(tc_fun(_u12946, tc_HOL_Obool), tc_fun(_u12946, tc_HOL_Obool), _u12944), c_Set_OCollect(_u12946)), hAPP(hAPP(c_COMBB(tc_fun(_u12946, tc_HOL_Obool), tc_fun(_u12946, tc_HOL_Obool), _u12944), hAPP(c_COMBS(_u12946, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12946), c_fconj), hAPP(hAPP(c_COMBC(_u12946, tc_fun(_u12946, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12946)), _u12947)))), _u12948)))), _u12945) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12946, tc_Nat_Onat), _u12949), _u12947)) | hBOOL(hAPP(hAPP(c_member(_u12946), skolem316(_u12949, _u12948, _u12947, _u12946, _u12945, _u12944)), _u12947)) )).
% 20.36/20.62 cnf(matrix-5984, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12944), _u12945)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12946), _u12947)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12944, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u12946, tc_HOL_Obool), tc_Nat_Onat, _u12944), c_Finite__Set_Ocard(_u12946)), hAPP(hAPP(c_COMBB(tc_fun(_u12946, tc_HOL_Obool), tc_fun(_u12946, tc_HOL_Obool), _u12944), c_Set_OCollect(_u12946)), hAPP(hAPP(c_COMBB(tc_fun(_u12946, tc_HOL_Obool), tc_fun(_u12946, tc_HOL_Obool), _u12944), hAPP(c_COMBS(_u12946, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12946), c_fconj), hAPP(hAPP(c_COMBC(_u12946, tc_fun(_u12946, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12946)), _u12947)))), _u12948)))), _u12945) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12946, tc_Nat_Onat), _u12949), _u12947)) | ( hAPP(c_Finite__Set_Ocard(_u12944), hAPP(c_Set_OCollect(_u12944), hAPP(hAPP(c_COMBS(_u12944, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12944), c_fconj), hAPP(hAPP(c_COMBC(_u12944, tc_fun(_u12944, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12944)), _u12945))), hAPP(hAPP(c_COMBC(_u12944, _u12946, tc_HOL_Obool), _u12948), skolem316(_u12949, _u12948, _u12947, _u12946, _u12945, _u12944))))) != hAPP(_u12949, skolem316(_u12949, _u12948, _u12947, _u12946, _u12945, _u12944))) )).
% 20.36/20.62 cnf(matrix-5985, plain, ( c_Fun_Oinj__on(_u12950, _u12950, c_Fun_Oid(_u12950), _u12951) )).
% 20.36/20.62 cnf(matrix-5986, plain, ( ( c_Product__Type_Oapsnd(_u12952, _u12952, _u12953, c_Fun_Oid(_u12952)) = c_Fun_Oid(tc_prod(_u12953, _u12952))) )).
% 20.36/20.62 cnf(matrix-5987, plain, ( hBOOL(hAPP(hAPP(_u12955, _u12956), _u12956)) | ~c_Predicate_Oreflp(_u12954, _u12955) )).
% 20.36/20.62 cnf(matrix-5988, plain, ( ( c_Product__Type_Oapfst(_u12957, _u12957, _u12958, c_Fun_Oid(_u12957)) = c_Fun_Oid(tc_prod(_u12957, _u12958))) )).
% 20.36/20.62 cnf(matrix-5989, plain, ( ( hAPP(c_Fun_Oid(_u12959), _u12960) = _u12960) )).
% 20.36/20.62 cnf(matrix-5990, plain, ( ( hAPP(c_Fun_Oid(_u12961), _u12962) = _u12962) )).
% 20.36/20.62 cnf(matrix-5991, plain, ( ( hAPP(c_Set_Ovimage(_u12963, _u12963, c_Fun_Oid(_u12963)), _u12964) = _u12964) )).
% 20.36/20.62 cnf(matrix-5992, plain, ( ( c_Product__Type_Omap__pair(_u12965, _u12965, _u12966, _u12966, c_COMBI(_u12965), c_COMBI(_u12966)) = c_Fun_Oid(tc_prod(_u12965, _u12966))) )).
% 20.36/20.62 cnf(matrix-5993, plain, ( ( c_Product__Type_Omap__pair(_u12967, _u12967, _u12968, _u12968, c_Fun_Oid(_u12967), c_Fun_Oid(_u12968)) = c_Fun_Oid(tc_prod(_u12967, _u12968))) )).
% 20.36/20.62 cnf(matrix-5994, plain, ( ( hAPP(c_Set_Oimage(_u12969, _u12969, c_Fun_Oid(_u12969)), _u12970) = _u12970) )).
% 20.36/20.62 cnf(matrix-5995, plain, ( ( c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint)) )).
% 20.36/20.62 cnf(matrix-5996, plain, ( ( hAPP(c_Set_Oimage(_u12971, _u12971, c_Fun_Oid(_u12971)), c_Orderings_Otop__class_Otop(tc_fun(_u12971, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u12971, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-5997, plain, ( ( c_Product__Type_Oapsnd(_u12972, _u12973, _u12974, _u12975) = c_Product__Type_Omap__pair(_u12974, _u12974, _u12972, _u12973, c_Fun_Oid(_u12974), _u12975)) )).
% 20.36/20.62 cnf(matrix-5998, plain, ( ( c_Product__Type_Oapfst(_u12976, _u12977, _u12978, _u12979) = c_Product__Type_Omap__pair(_u12976, _u12977, _u12978, _u12978, _u12979, c_Fun_Oid(_u12978))) )).
% 20.36/20.62 cnf(matrix-5999, plain, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u12980, _u12981, tc_prod(_u12980, _u12981)), c_Product__Type_OPair(_u12980, _u12981)) = c_Fun_Oid(tc_prod(_u12980, _u12981))) )).
% 20.36/20.62 cnf(matrix-6000, plain, ( ~class_Groups_Ocomm__monoid__add(_u12982) | ~c_Fun_Oinj__on(_u12983, _u12982, _u12984, _u12985) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12983, _u12982), _u12984), _u12985) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12982, _u12982), c_Fun_Oid(_u12982)), hAPP(c_Set_Oimage(_u12983, _u12982, _u12984), _u12985))) )).
% 20.36/20.62 cnf(matrix-6001, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12986) | ~c_Fun_Oinj__on(_u12987, _u12986, _u12988, _u12989) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12987, _u12986), _u12988), _u12989) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12986, _u12986), c_Fun_Oid(_u12986)), hAPP(c_Set_Oimage(_u12987, _u12986, _u12988), _u12989))) )).
% 20.36/20.62 cnf(matrix-6002, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12996), _u12998)) | ( _u12998 = hAPP(c_Set_Oimage(tc_Nat_Onat, _u12996, skolem318(_u12998, _u12996)), 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)), skolem317(_u12998, _u12996))))) )).
% 20.36/20.62 cnf(matrix-6003, plain, ( ( _u12999 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u12997, _u12992), 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)), _u12993)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12997), _u12999)) )).
% 20.36/20.62 cnf(matrix-6004, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13000, _u13001, _u13002), _u13003), _u13004) = hAPP(c_Set_OCollect(tc_prod(_u13000, _u13002)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13000, _u13002, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u13002, tc_fun(_u13001, tc_HOL_Obool)), tc_fun(_u13002, tc_HOL_Obool), _u13000), hAPP(c_COMBB(tc_fun(_u13001, tc_HOL_Obool), tc_HOL_Obool, _u13002), c_HOL_OEx(_u13001))), hAPP(hAPP(c_COMBC(_u13000, tc_fun(_u13002, tc_fun(_u13001, tc_HOL_Obool)), tc_fun(_u13002, tc_fun(_u13001, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13001, tc_HOL_Obool), tc_fun(_u13001, tc_HOL_Obool)), tc_fun(tc_fun(_u13002, tc_fun(_u13001, tc_HOL_Obool)), tc_fun(_u13002, tc_fun(_u13001, tc_HOL_Obool))), _u13000), c_COMBB(tc_fun(_u13001, tc_HOL_Obool), tc_fun(_u13001, tc_HOL_Obool), _u13002)), hAPP(hAPP(c_COMBB(tc_fun(_u13001, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u13001, tc_HOL_Obool), tc_fun(_u13001, tc_HOL_Obool)), _u13000), c_COMBS(_u13001, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13001, tc_HOL_Obool), tc_fun(_u13001, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u13000), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13001), c_fconj)), hAPP(hAPP(c_COMBC(_u13000, tc_fun(tc_prod(_u13000, _u13001), tc_HOL_Obool), tc_fun(_u13001, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13001, tc_fun(tc_fun(tc_prod(_u13000, _u13001), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13000, _u13001), tc_HOL_Obool), tc_fun(_u13001, tc_HOL_Obool)), _u13000), c_COMBC(_u13001, tc_fun(tc_prod(_u13000, _u13001), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13001, tc_prod(_u13000, _u13001)), tc_fun(_u13001, tc_fun(tc_fun(tc_prod(_u13000, _u13001), tc_HOL_Obool), tc_HOL_Obool)), _u13000), hAPP(c_COMBB(tc_prod(_u13000, _u13001), tc_fun(tc_fun(tc_prod(_u13000, _u13001), tc_HOL_Obool), tc_HOL_Obool), _u13001), c_member(tc_prod(_u13000, _u13001)))), c_Product__Type_OPair(_u13000, _u13001)))), _u13003))))), hAPP(hAPP(c_COMBC(_u13002, tc_fun(tc_prod(_u13001, _u13002), tc_HOL_Obool), tc_fun(_u13001, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13001, tc_fun(tc_fun(tc_prod(_u13001, _u13002), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13001, _u13002), tc_HOL_Obool), tc_fun(_u13001, tc_HOL_Obool)), _u13002), c_COMBC(_u13001, tc_fun(tc_prod(_u13001, _u13002), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13001, tc_prod(_u13001, _u13002)), tc_fun(_u13001, tc_fun(tc_fun(tc_prod(_u13001, _u13002), tc_HOL_Obool), tc_HOL_Obool)), _u13002), hAPP(c_COMBB(tc_prod(_u13001, _u13002), tc_fun(tc_fun(tc_prod(_u13001, _u13002), tc_HOL_Obool), tc_HOL_Obool), _u13001), c_member(tc_prod(_u13001, _u13002)))), hAPP(c_COMBC(_u13001, _u13002, tc_prod(_u13001, _u13002)), c_Product__Type_OPair(_u13001, _u13002))))), _u13004)))))) )).
% 20.36/20.62 cnf(matrix-6005, plain, ( ( hAPP(c_Relation_ORange(_u13005, _u13006), hAPP(c_Set_OCollect(tc_prod(_u13005, _u13006)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13005, _u13006, tc_HOL_Obool), _u13007))) = hAPP(c_Set_OCollect(_u13006), hAPP(hAPP(c_COMBB(tc_fun(_u13005, tc_HOL_Obool), tc_HOL_Obool, _u13006), c_HOL_OEx(_u13005)), hAPP(c_COMBC(_u13005, _u13006, tc_HOL_Obool), _u13007)))) )).
% 20.36/20.62 cnf(matrix-6006, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13008, _u13009)), hAPP(hAPP(c_Product__Type_OPair(_u13008, _u13009), _u13010), _u13011)), _u13012)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13009, _u13013)), hAPP(hAPP(c_Product__Type_OPair(_u13009, _u13013), _u13011), _u13014)), _u13015)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13008, _u13013)), hAPP(hAPP(c_Product__Type_OPair(_u13008, _u13013), _u13010), _u13014)), hAPP(hAPP(c_Relation_Orel__comp(_u13008, _u13009, _u13013), _u13012), _u13015))) )).
% 20.36/20.62 cnf(matrix-6007, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13016, _u13017)), hAPP(hAPP(c_Product__Type_OPair(_u13016, _u13017), _u13018), _u13019)), _u13020)) | hBOOL(hAPP(hAPP(c_member(_u13017), _u13019), hAPP(c_Relation_ORange(_u13016, _u13017), _u13020))) )).
% 20.36/20.62 cnf(matrix-6008, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13021, _u13022, _u13023), _u13024), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13025, tc_fun(tc_prod(_u13022, _u13023), tc_HOL_Obool)), _u13026), _u13027)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13025, tc_fun(tc_prod(_u13021, _u13023), tc_HOL_Obool)), _u13026), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u13022, _u13023), tc_HOL_Obool), tc_fun(tc_prod(_u13021, _u13023), tc_HOL_Obool), _u13025), hAPP(c_Relation_Orel__comp(_u13021, _u13022, _u13023), _u13024)), _u13027))) )).
% 20.36/20.62 cnf(matrix-6009, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13028, _u13029, _u13030), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13031, tc_fun(tc_prod(_u13028, _u13029), tc_HOL_Obool)), _u13032), _u13033)), _u13034) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13031, tc_fun(tc_prod(_u13028, _u13030), tc_HOL_Obool)), _u13032), hAPP(hAPP(c_COMBC(_u13031, tc_fun(tc_prod(_u13029, _u13030), tc_HOL_Obool), tc_fun(tc_prod(_u13028, _u13030), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u13028, _u13029), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u13029, _u13030), tc_HOL_Obool), tc_fun(tc_prod(_u13028, _u13030), tc_HOL_Obool)), _u13031), c_Relation_Orel__comp(_u13028, _u13029, _u13030)), _u13033)), _u13034))) )).
% 20.36/20.62 cnf(matrix-6010, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13035, _u13036, _u13037), _u13038), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13036, _u13037), tc_HOL_Obool)), _u13039), _u13040)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13035, _u13037), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13035, _u13036, _u13037), _u13038), _u13039)), hAPP(hAPP(c_Relation_Orel__comp(_u13035, _u13036, _u13037), _u13038), _u13040))) )).
% 20.36/20.62 cnf(matrix-6011, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13041, _u13042, _u13043), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13041, _u13042), tc_HOL_Obool)), _u13044), _u13045)), _u13046) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13041, _u13043), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13041, _u13042, _u13043), _u13044), _u13046)), hAPP(hAPP(c_Relation_Orel__comp(_u13041, _u13042, _u13043), _u13045), _u13046))) )).
% 20.36/20.62 cnf(matrix-6012, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13047, _u13048, _u13049), hAPP(hAPP(c_Relation_Orel__comp(_u13047, _u13050, _u13048), _u13051), _u13052)), _u13053) = hAPP(hAPP(c_Relation_Orel__comp(_u13047, _u13050, _u13049), _u13051), hAPP(hAPP(c_Relation_Orel__comp(_u13050, _u13048, _u13049), _u13052), _u13053))) )).
% 20.36/20.62 cnf(matrix-6013, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13054, _u13055, _u13056), _u13057), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13055, _u13056), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13054, _u13056), tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-6014, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13058, _u13059, _u13060), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13058, _u13059), tc_HOL_Obool))), _u13061) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13058, _u13060), tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-6015, plain, ( ( hAPP(c_Relation_ORange(_u13062, _u13062), c_Relation_OId__on(_u13062, _u13063)) = _u13063) )).
% 20.36/20.62 cnf(matrix-6016, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13064, _u13065), tc_HOL_Obool)), _u13066), _u13067)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13065, _u13068), tc_HOL_Obool)), _u13069), _u13070)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13064, _u13068), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13064, _u13065, _u13068), _u13066), _u13069)), hAPP(hAPP(c_Relation_Orel__comp(_u13064, _u13065, _u13068), _u13067), _u13070))) )).
% 20.36/20.62 cnf(matrix-6017, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13071, _u13071, _u13071), _u13072), _u13073) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13071, _u13071), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u13071, _u13071, _u13071), _u13072), _u13074) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13071, _u13071), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u13071, _u13071, _u13071), _u13072), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13071, _u13071), tc_HOL_Obool)), _u13073), _u13074)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13071, _u13071), tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-6018, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13075, _u13075, _u13075), _u13076), _u13077) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13075, _u13075), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u13075, _u13075, _u13075), _u13078), _u13077) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13075, _u13075), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u13075, _u13075, _u13075), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13075, _u13075), tc_HOL_Obool)), _u13076), _u13078)), _u13077) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13075, _u13075), tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-6019, plain, ( ( hAPP(c_Relation_ORange(_u13079, _u13080), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u13079, _u13080), tc_HOL_Obool), _u13081)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u13079, _u13080), tc_HOL_Obool), tc_fun(_u13080, tc_HOL_Obool)), _u13081), c_Relation_ORange(_u13079, _u13080))) )).
% 20.36/20.62 cnf(matrix-6020, plain, ( ( hAPP(c_Relation_ORange(_u13085, _u13087), _u13089) != c_Orderings_Obot__class_Obot(tc_fun(_u13087, tc_HOL_Obool))) | ( _u13089 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13085, _u13087), tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-6021, plain, ( ( _u13090 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13086, _u13088), tc_HOL_Obool))) | ( hAPP(c_Relation_ORange(_u13086, _u13088), _u13090) = c_Orderings_Obot__class_Obot(tc_fun(_u13088, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-6022, plain, ( ( hAPP(c_Relation_ORange(_u13091, _u13092), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13091, _u13092), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u13092, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-6023, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13093, _u13094), tc_HOL_Obool)), _u13095), hAPP(hAPP(c_Product__Type_OSigma(_u13093, _u13094), _u13096), hAPP(c_COMBK(tc_fun(_u13094, tc_HOL_Obool), _u13093), _u13097)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13094, _u13098), tc_HOL_Obool)), _u13099), hAPP(hAPP(c_Product__Type_OSigma(_u13094, _u13098), _u13097), hAPP(c_COMBK(tc_fun(_u13098, tc_HOL_Obool), _u13094), _u13100)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13093, _u13098), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13093, _u13094, _u13098), _u13095), _u13099)), hAPP(hAPP(c_Product__Type_OSigma(_u13093, _u13098), _u13096), hAPP(c_COMBK(tc_fun(_u13098, tc_HOL_Obool), _u13093), _u13100)))) )).
% 20.36/20.62 cnf(matrix-6024, plain, ( ( hAPP(c_Relation_ORange(_u13101, _u13102), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13101, _u13102), tc_HOL_Obool)), _u13103), _u13104)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13102, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u13101, _u13102), _u13103)), hAPP(c_Relation_ORange(_u13101, _u13102), _u13104))) )).
% 20.36/20.62 cnf(matrix-6025, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13105, _u13106)), _u13107)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13106), hAPP(c_Relation_ORange(_u13105, _u13106), _u13107))) )).
% 20.36/20.62 cnf(matrix-6026, plain, ( ( hAPP(c_Set_Oimage(tc_prod(_u13108, _u13109), _u13109, c_Product__Type_Osnd(_u13108, _u13109)), _u13110) = hAPP(c_Relation_ORange(_u13108, _u13109), _u13110)) )).
% 20.36/20.62 cnf(matrix-6027, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13117), _u13119), hAPP(c_Relation_ORange(_u13121, _u13117), _u13123))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13121, _u13117)), hAPP(hAPP(c_Product__Type_OPair(_u13121, _u13117), skolem319(_u13123, _u13121, _u13119, _u13117)), _u13119)), _u13123)) )).
% 20.36/20.62 cnf(matrix-6028, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13122, _u13118)), hAPP(hAPP(c_Product__Type_OPair(_u13122, _u13118), _u13112), _u13120)), _u13124)) | hBOOL(hAPP(hAPP(c_member(_u13118), _u13120), hAPP(c_Relation_ORange(_u13122, _u13118), _u13124))) )).
% 20.36/20.62 cnf(matrix-6029, plain, ( ( hAPP(c_Relation_ORange(_u13125, _u13126), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13125, _u13126)), hAPP(hAPP(c_Product__Type_OPair(_u13125, _u13126), _u13127), _u13128)), _u13129)) = hAPP(hAPP(c_Set_Oinsert(_u13126), _u13128), hAPP(c_Relation_ORange(_u13125, _u13126), _u13129))) )).
% 20.36/20.62 cnf(matrix-6030, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13130, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u13131, _u13130), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13131, _u13130), tc_HOL_Obool)), _u13132), _u13133))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13130, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u13131, _u13130), _u13132)), hAPP(c_Relation_ORange(_u13131, _u13130), _u13133)))) )).
% 20.36/20.62 cnf(matrix-6031, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13134, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13134, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u13135, _u13134), _u13136)), hAPP(c_Relation_ORange(_u13135, _u13134), _u13137))), hAPP(c_Relation_ORange(_u13135, _u13134), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13135, _u13134), tc_HOL_Obool)), _u13136), _u13137)))) )).
% 20.36/20.62 cnf(matrix-6032, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13138, _u13138), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13138, _u13138, _u13138), _u13139), _u13140)), _u13139)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u13138, tc_HOL_Obool), tc_fun(_u13138, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u13138, tc_HOL_Obool), tc_fun(_u13138, tc_HOL_Obool), tc_fun(_u13138, tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u13138, _u13139)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u13138, tc_HOL_Obool), tc_fun(_u13138, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u13138, _u13140)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u13138, tc_HOL_Obool), tc_fun(_u13138, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13138, tc_HOL_Obool), tc_fun(_u13138, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u13138, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u13138, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u13138, tc_HOL_Obool), tc_fun(_u13138, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omax__ext(_u13138, _u13139))) )).
% 20.36/20.62 cnf(matrix-6033, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13141, _u13141), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13141, _u13141, _u13141), _u13142), _u13143)), _u13142)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u13141, tc_HOL_Obool), tc_fun(_u13141, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u13141, tc_HOL_Obool), tc_fun(_u13141, tc_HOL_Obool), tc_fun(_u13141, tc_HOL_Obool)), c_Wellfounded_Omin__ext(_u13141, _u13142)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u13141, tc_HOL_Obool), tc_fun(_u13141, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omin__ext(_u13141, _u13143)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u13141, tc_HOL_Obool), tc_fun(_u13141, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13141, tc_HOL_Obool), tc_fun(_u13141, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u13141, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u13141, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u13141, tc_HOL_Obool), tc_fun(_u13141, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omin__ext(_u13141, _u13142))) )).
% 20.36/20.62 cnf(matrix-6034, plain, ( ~hBOOL(hAPP(c_Predicate_ORangeP(_u13148, _u13150, hAPP(hAPP(c_COMBC(_u13148, tc_fun(tc_prod(_u13148, _u13150), tc_HOL_Obool), tc_fun(_u13150, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13150, tc_fun(tc_fun(tc_prod(_u13148, _u13150), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13148, _u13150), tc_HOL_Obool), tc_fun(_u13150, tc_HOL_Obool)), _u13148), c_COMBC(_u13150, tc_fun(tc_prod(_u13148, _u13150), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13150, tc_prod(_u13148, _u13150)), tc_fun(_u13150, tc_fun(tc_fun(tc_prod(_u13148, _u13150), tc_HOL_Obool), tc_HOL_Obool)), _u13148), hAPP(c_COMBB(tc_prod(_u13148, _u13150), tc_fun(tc_fun(tc_prod(_u13148, _u13150), tc_HOL_Obool), tc_HOL_Obool), _u13150), c_member(tc_prod(_u13148, _u13150)))), c_Product__Type_OPair(_u13148, _u13150)))), _u13152)), _u13154)) | hBOOL(hAPP(hAPP(c_member(_u13150), _u13154), hAPP(c_Relation_ORange(_u13148, _u13150), _u13152))) )).
% 20.36/20.62 cnf(matrix-6035, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13151), _u13155), hAPP(c_Relation_ORange(_u13149, _u13151), _u13153))) | hBOOL(hAPP(c_Predicate_ORangeP(_u13149, _u13151, hAPP(hAPP(c_COMBC(_u13149, tc_fun(tc_prod(_u13149, _u13151), tc_HOL_Obool), tc_fun(_u13151, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13151, tc_fun(tc_fun(tc_prod(_u13149, _u13151), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13149, _u13151), tc_HOL_Obool), tc_fun(_u13151, tc_HOL_Obool)), _u13149), c_COMBC(_u13151, tc_fun(tc_prod(_u13149, _u13151), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13151, tc_prod(_u13149, _u13151)), tc_fun(_u13151, tc_fun(tc_fun(tc_prod(_u13149, _u13151), tc_HOL_Obool), tc_HOL_Obool)), _u13149), hAPP(c_COMBB(tc_prod(_u13149, _u13151), tc_fun(tc_fun(tc_prod(_u13149, _u13151), tc_HOL_Obool), tc_HOL_Obool), _u13151), c_member(tc_prod(_u13149, _u13151)))), c_Product__Type_OPair(_u13149, _u13151)))), _u13153)), _u13155)) )).
% 20.36/20.62 cnf(matrix-6036, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13157), _u13158), hAPP(c_Relation_ORange(_u13159, _u13157), _u13160))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13159, _u13157)), hAPP(hAPP(c_Product__Type_OPair(_u13159, _u13157), skolem320(_u13160, _u13159, _u13158, _u13157)), _u13158)), _u13160)) )).
% 20.36/20.62 cnf(matrix-6037, plain, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u13168, _u13170, _u13172, hAPP(hAPP(c_COMBC(_u13168, tc_fun(tc_prod(_u13168, _u13170), tc_HOL_Obool), tc_fun(_u13170, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13170, tc_fun(tc_fun(tc_prod(_u13168, _u13170), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13168, _u13170), tc_HOL_Obool), tc_fun(_u13170, tc_HOL_Obool)), _u13168), c_COMBC(_u13170, tc_fun(tc_prod(_u13168, _u13170), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13170, tc_prod(_u13168, _u13170)), tc_fun(_u13170, tc_fun(tc_fun(tc_prod(_u13168, _u13170), tc_HOL_Obool), tc_HOL_Obool)), _u13168), hAPP(c_COMBB(tc_prod(_u13168, _u13170), tc_fun(tc_fun(tc_prod(_u13168, _u13170), tc_HOL_Obool), tc_HOL_Obool), _u13170), c_member(tc_prod(_u13168, _u13170)))), c_Product__Type_OPair(_u13168, _u13170)))), _u13174), hAPP(hAPP(c_COMBC(_u13170, tc_fun(tc_prod(_u13170, _u13172), tc_HOL_Obool), tc_fun(_u13172, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13172, tc_fun(tc_fun(tc_prod(_u13170, _u13172), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13170, _u13172), tc_HOL_Obool), tc_fun(_u13172, tc_HOL_Obool)), _u13170), c_COMBC(_u13172, tc_fun(tc_prod(_u13170, _u13172), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13172, tc_prod(_u13170, _u13172)), tc_fun(_u13172, tc_fun(tc_fun(tc_prod(_u13170, _u13172), tc_HOL_Obool), tc_HOL_Obool)), _u13170), hAPP(c_COMBB(tc_prod(_u13170, _u13172), tc_fun(tc_fun(tc_prod(_u13170, _u13172), tc_HOL_Obool), tc_HOL_Obool), _u13172), c_member(tc_prod(_u13170, _u13172)))), c_Product__Type_OPair(_u13170, _u13172)))), _u13176)), _u13178), _u13180)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13168, _u13172)), hAPP(hAPP(c_Product__Type_OPair(_u13168, _u13172), _u13178), _u13180)), hAPP(hAPP(c_Relation_Orel__comp(_u13168, _u13170, _u13172), _u13174), _u13176))) )).
% 20.36/20.62 cnf(matrix-6038, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13169, _u13173)), hAPP(hAPP(c_Product__Type_OPair(_u13169, _u13173), _u13179), _u13181)), hAPP(hAPP(c_Relation_Orel__comp(_u13169, _u13171, _u13173), _u13175), _u13177))) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u13169, _u13171, _u13173, hAPP(hAPP(c_COMBC(_u13169, tc_fun(tc_prod(_u13169, _u13171), tc_HOL_Obool), tc_fun(_u13171, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13171, tc_fun(tc_fun(tc_prod(_u13169, _u13171), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13169, _u13171), tc_HOL_Obool), tc_fun(_u13171, tc_HOL_Obool)), _u13169), c_COMBC(_u13171, tc_fun(tc_prod(_u13169, _u13171), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13171, tc_prod(_u13169, _u13171)), tc_fun(_u13171, tc_fun(tc_fun(tc_prod(_u13169, _u13171), tc_HOL_Obool), tc_HOL_Obool)), _u13169), hAPP(c_COMBB(tc_prod(_u13169, _u13171), tc_fun(tc_fun(tc_prod(_u13169, _u13171), tc_HOL_Obool), tc_HOL_Obool), _u13171), c_member(tc_prod(_u13169, _u13171)))), c_Product__Type_OPair(_u13169, _u13171)))), _u13175), hAPP(hAPP(c_COMBC(_u13171, tc_fun(tc_prod(_u13171, _u13173), tc_HOL_Obool), tc_fun(_u13173, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13173, tc_fun(tc_fun(tc_prod(_u13171, _u13173), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13171, _u13173), tc_HOL_Obool), tc_fun(_u13173, tc_HOL_Obool)), _u13171), c_COMBC(_u13173, tc_fun(tc_prod(_u13171, _u13173), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13173, tc_prod(_u13171, _u13173)), tc_fun(_u13173, tc_fun(tc_fun(tc_prod(_u13171, _u13173), tc_HOL_Obool), tc_HOL_Obool)), _u13171), hAPP(c_COMBB(tc_prod(_u13171, _u13173), tc_fun(tc_fun(tc_prod(_u13171, _u13173), tc_HOL_Obool), tc_HOL_Obool), _u13173), c_member(tc_prod(_u13171, _u13173)))), c_Product__Type_OPair(_u13171, _u13173)))), _u13177)), _u13179), _u13181)) )).
% 20.36/20.62 cnf(matrix-6039, plain, ( ~hBOOL(hAPP(hAPP(_u13182, _u13183), _u13184)) | ~hBOOL(hAPP(hAPP(_u13185, _u13184), _u13186)) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u13187, _u13188, _u13189, _u13182, _u13185), _u13183), _u13186)) )).
% 20.36/20.62 cnf(matrix-6040, plain, ( ~hBOOL(hAPP(hAPP(_u13190, _u13191), _u13192)) | hBOOL(hAPP(c_Predicate_ORangeP(_u13193, _u13194, _u13190), _u13192)) )).
% 20.36/20.62 cnf(matrix-6041, plain, ( hBOOL(hAPP(hAPP(_u13205, skolem321(_u13207, _u13205)), _u13207)) | ~hBOOL(hAPP(c_Predicate_ORangeP(_u13201, _u13203, _u13205), _u13207)) )).
% 20.36/20.62 cnf(matrix-6042, plain, ( ~hBOOL(hAPP(hAPP(_u13206, _u13196), _u13208)) | hBOOL(hAPP(c_Predicate_ORangeP(_u13202, _u13204, _u13206), _u13208)) )).
% 20.36/20.62 cnf(matrix-6043, plain, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u13218, _u13220, _u13222, _u13224, _u13226), _u13228), _u13230)) | hBOOL(hAPP(hAPP(_u13224, _u13228), skolem322(_u13230, _u13228, _u13226, _u13224))) )).
% 20.36/20.62 cnf(matrix-6044, plain, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u13218, _u13220, _u13222, _u13224, _u13226), _u13228), _u13230)) | hBOOL(hAPP(hAPP(_u13226, skolem322(_u13230, _u13228, _u13226, _u13224)), _u13230)) )).
% 20.36/20.62 cnf(matrix-6045, plain, ( ~hBOOL(hAPP(hAPP(_u13225, _u13229), _u13210)) | ~hBOOL(hAPP(hAPP(_u13227, _u13210), _u13231)) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u13219, _u13221, _u13223, _u13225, _u13227), _u13229), _u13231)) )).
% 20.36/20.62 cnf(matrix-6046, plain, ( ~c_Wellfounded_Owf(_u13232, _u13233) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13232, _u13232), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13232, _u13232, _u13232), _u13233), _u13234)), _u13233)) | c_FunDef_Oreduction__pair(_u13232, hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(_u13232, _u13232), tc_HOL_Obool), tc_fun(tc_prod(_u13232, _u13232), tc_HOL_Obool)), _u13233), _u13234)) )).
% 20.36/20.62 cnf(matrix-6047, plain, ( ( hAPP(c_Relation_ODomain(_u13235, _u13236), hAPP(c_Set_OCollect(tc_prod(_u13235, _u13236)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13235, _u13236, tc_HOL_Obool), _u13237))) = hAPP(c_Set_OCollect(_u13235), hAPP(hAPP(c_COMBB(tc_fun(_u13236, tc_HOL_Obool), tc_HOL_Obool, _u13235), c_HOL_OEx(_u13236)), _u13237))) )).
% 20.36/20.62 cnf(matrix-6048, plain, ( ( c_HOL_OThe(_u13238, hAPP(hAPP(c_COMBC(_u13238, _u13238, tc_HOL_Obool), c_fequal), _u13239)) = _u13239) )).
% 20.36/20.62 cnf(matrix-6049, plain, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Oless__than) )).
% 20.36/20.62 cnf(matrix-6050, plain, ( c_Wellfounded_Owf(_u13240, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13240, _u13240), tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-6051, plain, ( ~c_Wellfounded_Owf(_u13241, _u13242) | c_Wellfounded_Owf(_u13243, hAPP(hAPP(c_Relation_Oinv__image(_u13241, _u13243), _u13242), _u13244)) )).
% 20.36/20.62 cnf(matrix-6052, plain, ( ~c_Wellfounded_Owf(_u13245, _u13246) | ~c_Wellfounded_Owf(_u13247, _u13248) | c_Wellfounded_Owf(tc_prod(_u13245, _u13247), c_Wellfounded_Olex__prod(_u13245, _u13247, _u13246, _u13248)) )).
% 20.36/20.62 cnf(matrix-6053, plain, ( c_Wellfounded_Owf(_u13249, hAPP(c_Wellfounded_Omeasure(_u13249), _u13250)) )).
% 20.36/20.62 cnf(matrix-6054, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13251, _u13252)), hAPP(hAPP(c_Product__Type_OPair(_u13251, _u13252), _u13253), _u13254)), _u13255)) | hBOOL(hAPP(hAPP(c_member(_u13251), _u13253), hAPP(c_Relation_ODomain(_u13251, _u13252), _u13255))) )).
% 20.36/20.62 cnf(matrix-6055, plain, ( ~c_Wellfounded_Owf(_u13258, _u13260) | c_Wellfounded_Owf(_u13258, hAPP(hAPP(c_Relation_Orel__comp(_u13258, _u13258, _u13258), _u13260), _u13260)) )).
% 20.36/20.62 cnf(matrix-6056, plain, ( ~c_Wellfounded_Owf(_u13259, hAPP(hAPP(c_Relation_Orel__comp(_u13259, _u13259, _u13259), _u13261), _u13261)) | c_Wellfounded_Owf(_u13259, _u13261) )).
% 20.36/20.62 cnf(matrix-6057, plain, ( ~c_Wellfounded_Owf(_u13262, _u13263) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13262, _u13262), tc_HOL_Obool)), _u13264), _u13263)) | c_Wellfounded_Owf(_u13262, _u13264) )).
% 20.36/20.62 cnf(matrix-6058, plain, ( ~c_Wellfounded_Owf(_u13265, _u13266) | c_Wellfounded_Owf(tc_fun(_u13265, tc_HOL_Obool), c_Wellfounded_Omin__ext(_u13265, _u13266)) )).
% 20.36/20.62 cnf(matrix-6059, plain, ( ~c_Wellfounded_Owf(_u13267, _u13268) | c_Wellfounded_Owf(_u13267, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13267, _u13267), tc_HOL_Obool)), _u13269), _u13268)) )).
% 20.36/20.62 cnf(matrix-6060, plain, ( ~c_Wellfounded_Owf(_u13270, _u13271) | c_Wellfounded_Owf(_u13270, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13270, _u13270), tc_HOL_Obool)), _u13271), _u13272)) )).
% 20.36/20.62 cnf(matrix-6061, plain, ( ~c_Wellfounded_Owf(_u13273, _u13274) | c_Wellfounded_Owf(tc_fun(_u13273, tc_HOL_Obool), c_Wellfounded_Omax__ext(_u13273, _u13274)) )).
% 20.36/20.62 cnf(matrix-6062, plain, ( c_Wellfounded_Owf(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less) )).
% 20.36/20.62 cnf(matrix-6063, plain, ( ( hAPP(c_Relation_ODomain(_u13275, _u13275), c_Relation_OId__on(_u13275, _u13276)) = _u13276) )).
% 20.36/20.62 cnf(matrix-6064, plain, ( c_Wellfounded_Owf(tc_fun(_u13277, tc_HOL_Obool), c_Wellfounded_Ofinite__psubset(_u13277)) )).
% 20.36/20.62 cnf(matrix-6065, plain, ( ~c_Wellfounded_Owf(_u13278, _u13279) | c_Wellfounded_Owf(_u13278, c_Wellfounded_Omlex__prod(_u13278, _u13280, _u13279)) )).
% 20.36/20.62 cnf(matrix-6066, 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)))) )).
% 20.36/20.62 cnf(matrix-6067, plain, ( ~c_Wellfounded_Owf(_u13281, _u13282) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13281, _u13281)), hAPP(hAPP(c_Product__Type_OPair(_u13281, _u13281), _u13283), _u13283)), _u13282)) )).
% 20.36/20.62 cnf(matrix-6068, plain, ( ~c_Wellfounded_Owf(_u13284, _u13285) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13284, _u13284)), hAPP(hAPP(c_Product__Type_OPair(_u13284, _u13284), _u13286), _u13287)), _u13285)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13284, _u13284)), hAPP(hAPP(c_Product__Type_OPair(_u13284, _u13284), _u13287), _u13286)), _u13285)) )).
% 20.36/20.62 cnf(matrix-6069, plain, ( ~c_Wellfounded_Owf(_u13288, _u13289) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13288, _u13288)), hAPP(hAPP(c_Product__Type_OPair(_u13288, _u13288), _u13290), _u13291)), _u13289)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13288, _u13288)), hAPP(hAPP(c_Product__Type_OPair(_u13288, _u13288), _u13291), _u13290)), _u13289)) )).
% 20.36/20.62 cnf(matrix-6070, plain, ( ~c_Wellfounded_Owf(_u13292, _u13293) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13292, _u13292)), hAPP(hAPP(c_Product__Type_OPair(_u13292, _u13292), _u13294), _u13294)), _u13293)) )).
% 20.36/20.62 cnf(matrix-6071, plain, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than2(_u13295)) )).
% 20.36/20.62 cnf(matrix-6072, plain, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than(_u13296)) )).
% 20.36/20.62 cnf(matrix-6073, plain, ( ~c_Wellfounded_Owf(_u13297, _u13298) | ~c_Wellfounded_Owf(_u13297, _u13299) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13297, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13297, _u13297), _u13298)), hAPP(c_Relation_ORange(_u13297, _u13297), _u13299)) != c_Orderings_Obot__class_Obot(tc_fun(_u13297, tc_HOL_Obool))) | c_Wellfounded_Owf(_u13297, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13297, _u13297), tc_HOL_Obool)), _u13298), _u13299)) )).
% 20.36/20.62 cnf(matrix-6074, plain, ( ~c_Wellfounded_Owf(_u13300, _u13301) | hBOOL(hAPP(hAPP(c_member(_u13300), _u13302), c_Wellfounded_Oacc(_u13300, _u13301))) )).
% 20.36/20.62 cnf(matrix-6075, plain, ( ~c_Wellfounded_Owf(_u13307, _u13309) | hBOOL(hAPP(hAPP(c_member(_u13307), _u13303), c_Wellfounded_Oacc(_u13307, _u13309))) )).
% 20.36/20.62 cnf(matrix-6076, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13308), skolem323(_u13310, _u13308)), c_Wellfounded_Oacc(_u13308, _u13310))) | c_Wellfounded_Owf(_u13308, _u13310) )).
% 20.36/20.62 cnf(matrix-6077, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13311, _u13311, _u13311), _u13312), _u13312) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13311, _u13311), tc_HOL_Obool))) | c_Wellfounded_Owf(_u13311, _u13312) )).
% 20.36/20.62 cnf(matrix-6078, plain, ( ~c_Wellfounded_Owf(_u13316, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13316, _u13316), tc_HOL_Obool)), _u13318), _u13320)) | c_Wellfounded_Owf(_u13316, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13316, _u13316), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13316, _u13316), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13316, _u13316, _u13316), _u13318), _u13318)), hAPP(hAPP(c_Relation_Orel__comp(_u13316, _u13316, _u13316), _u13320), _u13318))), _u13320)) )).
% 20.36/20.62 cnf(matrix-6079, plain, ( ~c_Wellfounded_Owf(_u13317, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13317, _u13317), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13317, _u13317), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13317, _u13317, _u13317), _u13319), _u13319)), hAPP(hAPP(c_Relation_Orel__comp(_u13317, _u13317, _u13317), _u13321), _u13319))), _u13321)) | c_Wellfounded_Owf(_u13317, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13317, _u13317), tc_HOL_Obool)), _u13319), _u13321)) )).
% 20.36/20.62 cnf(matrix-6080, plain, ( ( hAPP(c_Relation_ODomain(_u13325, _u13327), _u13329) != c_Orderings_Obot__class_Obot(tc_fun(_u13325, tc_HOL_Obool))) | ( _u13329 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13325, _u13327), tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-6081, plain, ( ( _u13330 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13326, _u13328), tc_HOL_Obool))) | ( hAPP(c_Relation_ODomain(_u13326, _u13328), _u13330) = c_Orderings_Obot__class_Obot(tc_fun(_u13326, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-6082, plain, ( ( hAPP(c_Relation_ODomain(_u13331, _u13332), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13331, _u13332), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u13331, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-6083, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13333, _u13334), tc_HOL_Obool)), _u13335), _u13336)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13333, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13333, _u13334), _u13335)), hAPP(c_Relation_ODomain(_u13333, _u13334), _u13336))) )).
% 20.36/20.62 cnf(matrix-6084, plain, ( ( hAPP(c_Relation_ODomain(_u13337, _u13338), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13337, _u13338), tc_HOL_Obool)), _u13339), _u13340)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13337, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13337, _u13338), _u13339)), hAPP(c_Relation_ODomain(_u13337, _u13338), _u13340))) )).
% 20.36/20.62 cnf(matrix-6085, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13341, _u13342)), _u13343)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13341), hAPP(c_Relation_ODomain(_u13341, _u13342), _u13343))) )).
% 20.36/20.62 cnf(matrix-6086, plain, ( ( hAPP(c_Set_Oimage(tc_prod(_u13344, _u13345), _u13344, c_Product__Type_Ofst(_u13344, _u13345)), _u13346) = hAPP(c_Relation_ODomain(_u13344, _u13345), _u13346)) )).
% 20.36/20.62 cnf(matrix-6087, plain, ( ~c_Wellfounded_Owf(_u13353, _u13355) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13353, _u13353)), hAPP(hAPP(c_Product__Type_OPair(_u13353, _u13353), hAPP(_u13348, hAPP(c_Nat_OSuc, skolem324(_u13355, _u13353, _u13348)))), hAPP(_u13348, skolem324(_u13355, _u13353, _u13348)))), _u13355)) )).
% 20.36/20.62 cnf(matrix-6088, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u13354, _u13354)), hAPP(hAPP(c_Product__Type_OPair(_u13354, _u13354), hAPP(skolem325(_u13356, _u13354), hAPP(c_Nat_OSuc, _u13349))), hAPP(skolem325(_u13356, _u13354), _u13349))), _u13356)) | c_Wellfounded_Owf(_u13354, _u13356) )).
% 20.36/20.62 cnf(matrix-6089, plain, ( ~c_Wellfounded_Owf(_u13357, _u13358) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13357, tc_HOL_Obool)), _u13359), hAPP(c_Relation_OImage(_u13357, _u13357, _u13358), _u13359))) | ( _u13359 = c_Orderings_Obot__class_Obot(tc_fun(_u13357, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-6090, plain, ( ~c_Wellfounded_Owf(_u13360, _u13361) | ~c_Wellfounded_Owf(_u13360, _u13362) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13360, _u13360), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13360, _u13360, _u13360), _u13361), _u13362)), _u13361)) | c_Wellfounded_Owf(_u13360, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13360, _u13360), tc_HOL_Obool)), _u13361), _u13362)) )).
% 20.36/20.62 cnf(matrix-6091, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13369), _u13371), hAPP(c_Relation_ODomain(_u13369, _u13373), _u13375))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13369, _u13373)), hAPP(hAPP(c_Product__Type_OPair(_u13369, _u13373), _u13371), skolem326(_u13375, _u13373, _u13371, _u13369))), _u13375)) )).
% 20.36/20.62 cnf(matrix-6092, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13370, _u13374)), hAPP(hAPP(c_Product__Type_OPair(_u13370, _u13374), _u13372), _u13364)), _u13376)) | hBOOL(hAPP(hAPP(c_member(_u13370), _u13372), hAPP(c_Relation_ODomain(_u13370, _u13374), _u13376))) )).
% 20.36/20.62 cnf(matrix-6093, plain, ( ~class_Orderings_Owellorder(_u13377) | c_Wellfounded_Owf(_u13377, hAPP(c_Set_OCollect(tc_prod(_u13377, _u13377)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13377, _u13377, tc_HOL_Obool), c_Orderings_Oord__class_Oless(_u13377)))) )).
% 20.36/20.62 cnf(matrix-6094, plain, ( ( hAPP(c_Relation_ODomain(_u13378, _u13379), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13378, _u13379)), hAPP(hAPP(c_Product__Type_OPair(_u13378, _u13379), _u13380), _u13381)), _u13382)) = hAPP(hAPP(c_Set_Oinsert(_u13378), _u13380), hAPP(c_Relation_ODomain(_u13378, _u13379), _u13382))) )).
% 20.36/20.62 cnf(matrix-6095, plain, ( ~c_FunDef_Oreduction__pair(_u13385, _u13387) | c_Wellfounded_Owf(_u13385, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13385, _u13385), tc_HOL_Obool), tc_fun(tc_prod(_u13385, _u13385), tc_HOL_Obool)), _u13387)) )).
% 20.36/20.62 cnf(matrix-6096, plain, ( ~c_FunDef_Oreduction__pair(_u13385, _u13387) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13385, _u13385), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13385, _u13385, _u13385), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13385, _u13385), tc_HOL_Obool), tc_fun(tc_prod(_u13385, _u13385), tc_HOL_Obool)), _u13387)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u13385, _u13385), tc_HOL_Obool), tc_fun(tc_prod(_u13385, _u13385), tc_HOL_Obool)), _u13387))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13385, _u13385), tc_HOL_Obool), tc_fun(tc_prod(_u13385, _u13385), tc_HOL_Obool)), _u13387))) )).
% 20.36/20.62 cnf(matrix-6097, plain, ( ~c_Wellfounded_Owf(_u13386, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13386, _u13386), tc_HOL_Obool), tc_fun(tc_prod(_u13386, _u13386), tc_HOL_Obool)), _u13388)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13386, _u13386), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13386, _u13386, _u13386), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13386, _u13386), tc_HOL_Obool), tc_fun(tc_prod(_u13386, _u13386), tc_HOL_Obool)), _u13388)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u13386, _u13386), tc_HOL_Obool), tc_fun(tc_prod(_u13386, _u13386), tc_HOL_Obool)), _u13388))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13386, _u13386), tc_HOL_Obool), tc_fun(tc_prod(_u13386, _u13386), tc_HOL_Obool)), _u13388))) | c_FunDef_Oreduction__pair(_u13386, _u13388) )).
% 20.36/20.62 cnf(matrix-6098, plain, ( ~c_FunDef_Oreduction__pair(_u13389, _u13390) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13389, _u13389), tc_HOL_Obool)), _u13391), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13389, _u13389), tc_HOL_Obool), tc_fun(tc_prod(_u13389, _u13389), tc_HOL_Obool)), _u13390))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13389, _u13389), tc_HOL_Obool)), _u13392), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u13389, _u13389), tc_HOL_Obool), tc_fun(tc_prod(_u13389, _u13389), tc_HOL_Obool)), _u13390))) | ~c_Wellfounded_Owf(_u13389, _u13392) | c_Wellfounded_Owf(_u13389, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13389, _u13389), tc_HOL_Obool)), _u13391), _u13392)) )).
% 20.36/20.62 cnf(matrix-6099, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13393, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13393, _u13394), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13393, _u13394), tc_HOL_Obool)), _u13395), _u13396))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13393, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13393, _u13394), _u13395)), hAPP(c_Relation_ODomain(_u13393, _u13394), _u13396)))) )).
% 20.36/20.62 cnf(matrix-6100, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13397, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13397, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13397, _u13398), _u13399)), hAPP(c_Relation_ODomain(_u13397, _u13398), _u13400))), hAPP(c_Relation_ODomain(_u13397, _u13398), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13397, _u13398), tc_HOL_Obool)), _u13399), _u13400)))) )).
% 20.36/20.62 cnf(matrix-6101, plain, ( ( hAPP(c_Relation_OField(_u13401), _u13402) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13401, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13401, _u13401), _u13402)), hAPP(c_Relation_ORange(_u13401, _u13401), _u13402))) )).
% 20.36/20.62 cnf(matrix-6102, plain, ( ~c_Wellfounded_Owf(_u13403, _u13404) | ~c_Fun_Oinj__on(_u13403, _u13405, _u13406, c_Orderings_Otop__class_Otop(tc_fun(_u13403, tc_HOL_Obool))) | c_Wellfounded_Owf(_u13405, hAPP(c_Set_Oimage(tc_prod(_u13403, _u13403), tc_prod(_u13405, _u13405), c_Product__Type_Omap__pair(_u13403, _u13405, _u13403, _u13405, _u13406, _u13406)), _u13404)) )).
% 20.36/20.62 cnf(matrix-6103, plain, ( ( hAPP(c_Relation_ODomain(_u13407, _u13408), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u13407, _u13408), tc_HOL_Obool), _u13409)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u13407, _u13408), tc_HOL_Obool), tc_fun(_u13407, tc_HOL_Obool)), _u13409), c_Relation_ODomain(_u13407, _u13408))) )).
% 20.36/20.62 cnf(matrix-6104, plain, ( ( c_HOL_OThe(_u13410, hAPP(c_fequal, _u13411)) = _u13411) )).
% 20.36/20.62 cnf(matrix-6105, plain, ( ~hBOOL(hAPP(c_Predicate_ODomainP(_u13416, _u13418, hAPP(hAPP(c_COMBC(_u13416, tc_fun(tc_prod(_u13416, _u13418), tc_HOL_Obool), tc_fun(_u13418, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13418, tc_fun(tc_fun(tc_prod(_u13416, _u13418), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13416, _u13418), tc_HOL_Obool), tc_fun(_u13418, tc_HOL_Obool)), _u13416), c_COMBC(_u13418, tc_fun(tc_prod(_u13416, _u13418), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13418, tc_prod(_u13416, _u13418)), tc_fun(_u13418, tc_fun(tc_fun(tc_prod(_u13416, _u13418), tc_HOL_Obool), tc_HOL_Obool)), _u13416), hAPP(c_COMBB(tc_prod(_u13416, _u13418), tc_fun(tc_fun(tc_prod(_u13416, _u13418), tc_HOL_Obool), tc_HOL_Obool), _u13418), c_member(tc_prod(_u13416, _u13418)))), c_Product__Type_OPair(_u13416, _u13418)))), _u13420)), _u13422)) | hBOOL(hAPP(hAPP(c_member(_u13416), _u13422), hAPP(c_Relation_ODomain(_u13416, _u13418), _u13420))) )).
% 20.36/20.62 cnf(matrix-6106, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13417), _u13423), hAPP(c_Relation_ODomain(_u13417, _u13419), _u13421))) | hBOOL(hAPP(c_Predicate_ODomainP(_u13417, _u13419, hAPP(hAPP(c_COMBC(_u13417, tc_fun(tc_prod(_u13417, _u13419), tc_HOL_Obool), tc_fun(_u13419, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13419, tc_fun(tc_fun(tc_prod(_u13417, _u13419), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13417, _u13419), tc_HOL_Obool), tc_fun(_u13419, tc_HOL_Obool)), _u13417), c_COMBC(_u13419, tc_fun(tc_prod(_u13417, _u13419), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13419, tc_prod(_u13417, _u13419)), tc_fun(_u13419, tc_fun(tc_fun(tc_prod(_u13417, _u13419), tc_HOL_Obool), tc_HOL_Obool)), _u13417), hAPP(c_COMBB(tc_prod(_u13417, _u13419), tc_fun(tc_fun(tc_prod(_u13417, _u13419), tc_HOL_Obool), tc_HOL_Obool), _u13419), c_member(tc_prod(_u13417, _u13419)))), c_Product__Type_OPair(_u13417, _u13419)))), _u13421)), _u13423)) )).
% 20.36/20.62 cnf(matrix-6107, plain, ( ~c_Wellfounded_Owf(_u13424, _u13425) | c_Wellfounded_Owf(tc_List_Olist(_u13424), c_List_Olenlex(_u13424, _u13425)) )).
% 20.36/20.62 cnf(matrix-6108, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13427), _u13428), hAPP(c_Relation_ODomain(_u13427, _u13429), _u13430))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13427, _u13429)), hAPP(hAPP(c_Product__Type_OPair(_u13427, _u13429), _u13428), skolem327(_u13430, _u13429, _u13428, _u13427))), _u13430)) )).
% 20.36/20.62 cnf(matrix-6109, plain, ( ~hBOOL(hAPP(hAPP(_u13431, _u13432), _u13433)) | hBOOL(hAPP(c_Predicate_ODomainP(_u13434, _u13435, _u13431), _u13432)) )).
% 20.36/20.62 cnf(matrix-6110, plain, ( hBOOL(hAPP(hAPP(_u13446, _u13448), skolem328(_u13448, _u13446))) | ~hBOOL(hAPP(c_Predicate_ODomainP(_u13442, _u13444, _u13446), _u13448)) )).
% 20.36/20.62 cnf(matrix-6111, plain, ( ~hBOOL(hAPP(hAPP(_u13447, _u13449), _u13437)) | hBOOL(hAPP(c_Predicate_ODomainP(_u13443, _u13445, _u13447), _u13449)) )).
% 20.36/20.62 cnf(matrix-6112, 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)))) )).
% 20.36/20.62 cnf(matrix-6113, plain, ( ~c_Wellfounded_Owf(_u13450, _u13451) | c_Wellfounded_Owf(tc_List_Olist(_u13450), c_List_Olex(_u13450, _u13451)) )).
% 20.36/20.62 cnf(matrix-6114, plain, ( ~c_Wellfounded_Owf(_u13452, _u13453) | c_Wellfounded_Owf(tc_List_Olist(_u13452), hAPP(c_List_Olexn(_u13452, _u13453), _u13454)) )).
% 20.36/20.62 cnf(matrix-6115, plain, ( ( c_List_Olex(_u13455, _u13456) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(tc_List_Olist(_u13455), tc_List_Olist(_u13455)), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_List_Olexn(_u13455, _u13456))) )).
% 20.36/20.62 cnf(matrix-6116, plain, ( ( hAPP(c_List_Olexn(_u13457, _u13458), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_List_Olist(_u13457), tc_List_Olist(_u13457)), tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-6117, plain, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Opred__nat) )).
% 20.36/20.62 cnf(matrix-6118, plain, ( c_Wellfounded_Owf(tc_prod(_u13463, _u13461), c_Recdef_Osame__fst(_u13463, _u13461, _u13460, _u13462)) | hBOOL(hAPP(_u13460, skolem329(_u13463, _u13462, _u13461, _u13460))) )).
% 20.36/20.62 cnf(matrix-6119, plain, ( c_Wellfounded_Owf(tc_prod(_u13463, _u13461), c_Recdef_Osame__fst(_u13463, _u13461, _u13460, _u13462)) | ~c_Wellfounded_Owf(_u13461, hAPP(_u13462, skolem329(_u13463, _u13462, _u13461, _u13460))) )).
% 20.36/20.62 cnf(matrix-6120, plain, ( c_Wellfounded_Owf(_u13468, hAPP(c_Set_OCollect(tc_prod(_u13468, _u13468)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13468, _u13468, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u13468, tc_HOL_Obool), tc_fun(_u13468, tc_HOL_Obool), _u13468), hAPP(c_COMBS(_u13468, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13468), c_fconj), _u13465))), hAPP(hAPP(c_COMBC(_u13468, tc_fun(_u13468, _u13468), tc_fun(_u13468, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13468, tc_HOL_Obool), tc_fun(tc_fun(_u13468, _u13468), tc_fun(_u13468, tc_HOL_Obool)), _u13468), c_COMBB(_u13468, tc_HOL_Obool, _u13468)), c_fequal)), _u13467))))) | hBOOL(hAPP(_u13465, skolem330(_u13468, _u13467, _u13466, _u13465))) )).
% 20.36/20.62 cnf(matrix-6121, plain, ( c_Wellfounded_Owf(_u13468, hAPP(c_Set_OCollect(tc_prod(_u13468, _u13468)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13468, _u13468, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u13468, tc_HOL_Obool), tc_fun(_u13468, tc_HOL_Obool), _u13468), hAPP(c_COMBS(_u13468, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13468), c_fconj), _u13465))), hAPP(hAPP(c_COMBC(_u13468, tc_fun(_u13468, _u13468), tc_fun(_u13468, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13468, tc_HOL_Obool), tc_fun(tc_fun(_u13468, _u13468), tc_fun(_u13468, tc_HOL_Obool)), _u13468), c_COMBB(_u13468, tc_HOL_Obool, _u13468)), c_fequal)), _u13467))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u13466, hAPP(_u13467, skolem330(_u13468, _u13467, _u13466, _u13465)))), hAPP(_u13466, skolem330(_u13468, _u13467, _u13466, _u13465)))) )).
% 20.36/20.62 cnf(matrix-6122, plain, ( ~c_Wellfounded_OwfP(_u13471, _u13473) | c_Wellfounded_Owf(_u13471, hAPP(c_Set_OCollect(tc_prod(_u13471, _u13471)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13471, _u13471, tc_HOL_Obool), _u13473))) )).
% 20.36/20.62 cnf(matrix-6123, plain, ( ~c_Wellfounded_Owf(_u13472, hAPP(c_Set_OCollect(tc_prod(_u13472, _u13472)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13472, _u13472, tc_HOL_Obool), _u13474))) | c_Wellfounded_OwfP(_u13472, _u13474) )).
% 20.36/20.62 cnf(matrix-6124, plain, ( c_Wellfounded_OwfP(_u13475, hAPP(c_COMBK(tc_fun(_u13475, tc_HOL_Obool), _u13475), hAPP(c_COMBK(tc_HOL_Obool, _u13475), c_fFalse))) )).
% 20.36/20.62 cnf(matrix-6125, plain, ( ~c_Wellfounded_OwfP(_u13476, _u13477) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u13476, _u13477), _u13478)) )).
% 20.36/20.62 cnf(matrix-6126, plain, ( ~c_Wellfounded_OwfP(_u13483, _u13485) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u13483, _u13485), _u13479)) )).
% 20.36/20.62 cnf(matrix-6127, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u13484, _u13486), skolem331(_u13486, _u13484))) | c_Wellfounded_OwfP(_u13484, _u13486) )).
% 20.36/20.62 cnf(matrix-6128, plain, ( ~c_Wellfounded_OwfP(_u13487, _u13488) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13487, tc_fun(_u13487, tc_HOL_Obool))), _u13489), _u13488)) | c_Wellfounded_OwfP(_u13487, _u13489) )).
% 20.36/20.62 cnf(matrix-6129, plain, ( ~c_Wellfounded_Owf(_u13490, _u13491) | c_Wellfounded_OwfP(_u13490, c_FunDef_Oin__rel(_u13490, _u13490, _u13491)) )).
% 20.36/20.62 cnf(matrix-6130, plain, ( ~c_Wellfounded_OwfP(_u13494, hAPP(hAPP(c_COMBC(_u13494, tc_fun(tc_prod(_u13494, _u13494), tc_HOL_Obool), tc_fun(_u13494, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13494, tc_fun(tc_fun(tc_prod(_u13494, _u13494), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13494, _u13494), tc_HOL_Obool), tc_fun(_u13494, tc_HOL_Obool)), _u13494), c_COMBC(_u13494, tc_fun(tc_prod(_u13494, _u13494), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13494, tc_prod(_u13494, _u13494)), tc_fun(_u13494, tc_fun(tc_fun(tc_prod(_u13494, _u13494), tc_HOL_Obool), tc_HOL_Obool)), _u13494), hAPP(c_COMBB(tc_prod(_u13494, _u13494), tc_fun(tc_fun(tc_prod(_u13494, _u13494), tc_HOL_Obool), tc_HOL_Obool), _u13494), c_member(tc_prod(_u13494, _u13494)))), c_Product__Type_OPair(_u13494, _u13494)))), _u13496)) | c_Wellfounded_Owf(_u13494, _u13496) )).
% 20.36/20.62 cnf(matrix-6131, plain, ( ~c_Wellfounded_Owf(_u13495, _u13497) | c_Wellfounded_OwfP(_u13495, hAPP(hAPP(c_COMBC(_u13495, tc_fun(tc_prod(_u13495, _u13495), tc_HOL_Obool), tc_fun(_u13495, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13495, tc_fun(tc_fun(tc_prod(_u13495, _u13495), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13495, _u13495), tc_HOL_Obool), tc_fun(_u13495, tc_HOL_Obool)), _u13495), c_COMBC(_u13495, tc_fun(tc_prod(_u13495, _u13495), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13495, tc_prod(_u13495, _u13495)), tc_fun(_u13495, tc_fun(tc_fun(tc_prod(_u13495, _u13495), tc_HOL_Obool), tc_HOL_Obool)), _u13495), hAPP(c_COMBB(tc_prod(_u13495, _u13495), tc_fun(tc_fun(tc_prod(_u13495, _u13495), tc_HOL_Obool), tc_HOL_Obool), _u13495), c_member(tc_prod(_u13495, _u13495)))), c_Product__Type_OPair(_u13495, _u13495)))), _u13497)) )).
% 20.36/20.62 cnf(matrix-6132, plain, ( ~c_Wellfounded_OwfP(_u13498, _u13499) | c_Wellfounded_Oacyclic(_u13498, hAPP(c_Set_OCollect(tc_prod(_u13498, _u13498)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13498, _u13498, tc_HOL_Obool), _u13499))) )).
% 20.36/20.62 cnf(matrix-6133, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u13501), _u13502)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13503), hAPP(c_Set_Oimage(_u13501, _u13503, _u13504), _u13502))) | hBOOL(hAPP(hAPP(c_member(_u13501), skolem332(_u13504, _u13503, _u13502, _u13501)), _u13502)) )).
% 20.36/20.62 cnf(matrix-6134, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u13501), _u13502)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13503), hAPP(c_Set_Oimage(_u13501, _u13503, _u13504), _u13502))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13501), hAPP(c_Set_OCollect(_u13501), hAPP(hAPP(c_COMBS(_u13501, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13501), c_fconj), hAPP(hAPP(c_COMBC(_u13501, tc_fun(_u13501, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13501)), _u13502))), hAPP(hAPP(c_COMBC(_u13501, _u13503, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u13503, tc_fun(_u13503, tc_HOL_Obool), _u13501), c_fequal), _u13504)), hAPP(_u13504, skolem332(_u13504, _u13503, _u13502, _u13501))))))) )).
% 20.36/20.62 cnf(matrix-6135, plain, ( ~c_Relation_Orefl__on(_u13512, _u13514, _u13516) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13512, _u13512)), _u13505), _u13516)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13512, _u13512, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13512, tc_fun(_u13512, tc_HOL_Obool), tc_fun(_u13512, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13512, tc_HOL_Obool), tc_fun(_u13512, tc_HOL_Obool)), _u13512), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13512)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13512), c_fconj), hAPP(hAPP(c_COMBC(_u13512, tc_fun(_u13512, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13512)), _u13514)))), hAPP(hAPP(c_COMBC(_u13512, tc_fun(_u13512, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13512)), _u13514))), _u13505)) )).
% 20.36/20.62 cnf(matrix-6136, plain, ( ~c_Relation_Orefl__on(_u13512, _u13514, _u13516) | ~hBOOL(hAPP(hAPP(c_member(_u13512), _u13506), _u13514)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13512, _u13512)), hAPP(hAPP(c_Product__Type_OPair(_u13512, _u13512), _u13506), _u13506)), _u13516)) )).
% 20.36/20.62 cnf(matrix-6137, plain, ( c_Relation_Orefl__on(_u13513, _u13515, _u13517) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13513, _u13513)), skolem333(_u13517, _u13515, _u13513)), _u13517)) | hBOOL(hAPP(hAPP(c_member(_u13513), skolem334(_u13517, _u13515, _u13513)), _u13515)) )).
% 20.36/20.62 cnf(matrix-6138, plain, ( c_Relation_Orefl__on(_u13513, _u13515, _u13517) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13513, _u13513)), skolem333(_u13517, _u13515, _u13513)), _u13517)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13513, _u13513)), hAPP(hAPP(c_Product__Type_OPair(_u13513, _u13513), skolem334(_u13517, _u13515, _u13513)), skolem334(_u13517, _u13515, _u13513))), _u13517)) )).
% 20.36/20.62 cnf(matrix-6139, plain, ( c_Relation_Orefl__on(_u13513, _u13515, _u13517) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13513, _u13513, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13513, tc_fun(_u13513, tc_HOL_Obool), tc_fun(_u13513, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13513, tc_HOL_Obool), tc_fun(_u13513, tc_HOL_Obool)), _u13513), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13513)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13513), c_fconj), hAPP(hAPP(c_COMBC(_u13513, tc_fun(_u13513, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13513)), _u13515)))), hAPP(hAPP(c_COMBC(_u13513, tc_fun(_u13513, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13513)), _u13515))), skolem333(_u13517, _u13515, _u13513))) | hBOOL(hAPP(hAPP(c_member(_u13513), skolem334(_u13517, _u13515, _u13513)), _u13515)) )).
% 20.36/20.62 cnf(matrix-6140, plain, ( c_Relation_Orefl__on(_u13513, _u13515, _u13517) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13513, _u13513, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13513, tc_fun(_u13513, tc_HOL_Obool), tc_fun(_u13513, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13513, tc_HOL_Obool), tc_fun(_u13513, tc_HOL_Obool)), _u13513), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13513)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13513), c_fconj), hAPP(hAPP(c_COMBC(_u13513, tc_fun(_u13513, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13513)), _u13515)))), hAPP(hAPP(c_COMBC(_u13513, tc_fun(_u13513, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13513)), _u13515))), skolem333(_u13517, _u13515, _u13513))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13513, _u13513)), hAPP(hAPP(c_Product__Type_OPair(_u13513, _u13513), skolem334(_u13517, _u13515, _u13513)), skolem334(_u13517, _u13515, _u13513))), _u13517)) )).
% 20.36/20.62 cnf(matrix-6141, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13519), _u13518), c_Orderings_Obot__class_Obot(tc_fun(_u13519, tc_HOL_Obool)))) | hBOOL(hAPP(_u13520, _u13518)) )).
% 20.36/20.62 cnf(matrix-6142, plain, ( ~c_Wellfounded_Owf(_u13521, _u13522) | c_Wellfounded_Oacyclic(_u13521, _u13522) )).
% 20.36/20.62 cnf(matrix-6143, plain, ( ~c_Wellfounded_Oacyclic(_u13523, _u13524) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13523, _u13523), tc_HOL_Obool)), _u13525), _u13524)) | c_Wellfounded_Oacyclic(_u13523, _u13525) )).
% 20.36/20.62 cnf(matrix-6144, plain, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u13531, _u13533), _u13535)) | ~hBOOL(hAPP(hAPP(c_member(_u13531), _u13526), _u13535)) | hBOOL(hAPP(_u13533, _u13526)) )).
% 20.36/20.62 cnf(matrix-6145, plain, ( hBOOL(hAPP(c_Predicate_OPowp(_u13532, _u13534), _u13536)) | hBOOL(hAPP(hAPP(c_member(_u13532), skolem335(_u13536, _u13534, _u13532)), _u13536)) )).
% 20.36/20.62 cnf(matrix-6146, plain, ( hBOOL(hAPP(c_Predicate_OPowp(_u13532, _u13534), _u13536)) | ~hBOOL(hAPP(_u13534, skolem335(_u13536, _u13534, _u13532))) )).
% 20.36/20.62 cnf(matrix-6147, plain, ( ( c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u13537, tc_HOL_Obool) = c_Set_OBall(_u13537)) )).
% 20.36/20.62 cnf(matrix-6148, plain, ( ( hAPP(c_Set_OCollect(_u13538), hAPP(hAPP(c_COMBB(tc_fun(_u13539, tc_HOL_Obool), tc_HOL_Obool, _u13538), c_HOL_OAll(_u13539)), hAPP(hAPP(c_COMBB(tc_fun(_u13539, tc_HOL_Obool), tc_fun(_u13539, tc_HOL_Obool), _u13538), hAPP(c_COMBS(_u13539, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13539), c_fimplies), hAPP(hAPP(c_COMBC(_u13539, tc_fun(_u13539, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13539)), _u13540)))), _u13541))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u13539, tc_fun(_u13538, tc_HOL_Obool)), _u13540), hAPP(hAPP(c_COMBB(tc_fun(_u13538, tc_HOL_Obool), tc_fun(_u13538, tc_HOL_Obool), _u13539), c_Set_OCollect(_u13538)), hAPP(c_COMBC(_u13538, _u13539, tc_HOL_Obool), _u13541)))) )).
% 20.36/20.62 cnf(matrix-6149, plain, ( ~c_Equiv__Relations_Ocongruent(_u13548, _u13550, _u13552, _u13554) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13548, _u13548)), _u13542), _u13552)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13548, _u13548, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13548, tc_fun(_u13548, _u13550), tc_fun(_u13548, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13550, tc_HOL_Obool), tc_fun(tc_fun(_u13548, _u13550), tc_fun(_u13548, tc_HOL_Obool)), _u13548), c_COMBB(_u13550, tc_HOL_Obool, _u13548)), hAPP(hAPP(c_COMBB(_u13550, tc_fun(_u13550, tc_HOL_Obool), _u13548), c_fequal), _u13554))), _u13554)), _u13542)) )).
% 20.36/20.62 cnf(matrix-6150, plain, ( c_Equiv__Relations_Ocongruent(_u13549, _u13551, _u13553, _u13555) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13549, _u13549)), skolem336(_u13555, _u13553, _u13551, _u13549)), _u13553)) )).
% 20.36/20.62 cnf(matrix-6151, plain, ( c_Equiv__Relations_Ocongruent(_u13549, _u13551, _u13553, _u13555) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13549, _u13549, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13549, tc_fun(_u13549, _u13551), tc_fun(_u13549, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13551, tc_HOL_Obool), tc_fun(tc_fun(_u13549, _u13551), tc_fun(_u13549, tc_HOL_Obool)), _u13549), c_COMBB(_u13551, tc_HOL_Obool, _u13549)), hAPP(hAPP(c_COMBB(_u13551, tc_fun(_u13551, tc_HOL_Obool), _u13549), c_fequal), _u13555))), _u13555)), skolem336(_u13555, _u13553, _u13551, _u13549))) )).
% 20.36/20.62 cnf(matrix-6152, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u13556, tc_fun(_u13557, tc_HOL_Obool)), _u13558), _u13559) = hAPP(c_Set_OCollect(_u13557), hAPP(hAPP(c_COMBB(tc_fun(_u13556, tc_HOL_Obool), tc_HOL_Obool, _u13557), c_HOL_OAll(_u13556)), hAPP(hAPP(c_COMBB(tc_fun(_u13556, tc_HOL_Obool), tc_fun(_u13556, tc_HOL_Obool), _u13557), hAPP(c_COMBS(_u13556, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13556), c_fimplies), hAPP(hAPP(c_COMBC(_u13556, tc_fun(_u13556, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13556)), _u13558)))), hAPP(hAPP(c_COMBC(_u13557, tc_fun(_u13556, tc_fun(_u13557, tc_HOL_Obool)), tc_fun(_u13556, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13557, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u13556, tc_fun(_u13557, tc_HOL_Obool)), tc_fun(_u13556, tc_HOL_Obool)), _u13557), c_COMBB(tc_fun(_u13557, tc_HOL_Obool), tc_HOL_Obool, _u13556)), c_member(_u13557))), _u13559))))) )).
% 20.36/20.62 cnf(matrix-6153, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13560, _u13560)), _u13561)) | ~c_Wellfounded_Owf(_u13560, _u13561) | c_Wellfounded_Oacyclic(_u13560, _u13561) )).
% 20.36/20.62 cnf(matrix-6154, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13560, _u13560)), _u13561)) | ~c_Wellfounded_Oacyclic(_u13560, _u13561) | c_Wellfounded_Owf(_u13560, _u13561) )).
% 20.36/20.62 cnf(matrix-6155, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13562, _u13562)), _u13563)) | ~c_Wellfounded_Oacyclic(_u13562, _u13563) | c_Wellfounded_Owf(_u13562, _u13563) )).
% 20.36/20.62 cnf(matrix-6156, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u13564) | ( c_Complete__Lattice_OSup__class_OSup(_u13564, _u13565) = c_Complete__Lattice_OInf__class_OInf(_u13564, hAPP(c_Set_OCollect(_u13564), hAPP(hAPP(c_COMBB(tc_fun(_u13564, tc_HOL_Obool), tc_HOL_Obool, _u13564), c_HOL_OAll(_u13564)), hAPP(hAPP(c_COMBB(tc_fun(_u13564, tc_HOL_Obool), tc_fun(_u13564, tc_HOL_Obool), _u13564), hAPP(c_COMBS(_u13564, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13564), c_fimplies), hAPP(hAPP(c_COMBC(_u13564, tc_fun(_u13564, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13564)), _u13565)))), hAPP(c_COMBC(_u13564, _u13564, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u13564))))))) )).
% 20.36/20.62 cnf(matrix-6157, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u13566) | ( c_Complete__Lattice_OInf__class_OInf(_u13566, _u13567) = c_Complete__Lattice_OSup__class_OSup(_u13566, hAPP(c_Set_OCollect(_u13566), hAPP(hAPP(c_COMBB(tc_fun(_u13566, tc_HOL_Obool), tc_HOL_Obool, _u13566), c_HOL_OAll(_u13566)), hAPP(hAPP(c_COMBB(tc_fun(_u13566, tc_HOL_Obool), tc_fun(_u13566, tc_HOL_Obool), _u13566), hAPP(c_COMBS(_u13566, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13566), c_fimplies), hAPP(hAPP(c_COMBC(_u13566, tc_fun(_u13566, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13566)), _u13567)))), c_Orderings_Oord__class_Oless__eq(_u13566)))))) )).
% 20.36/20.62 cnf(matrix-6158, plain, ( ~c_Nitpick_Owf_H(_u13570, _u13572) | c_Wellfounded_Oacyclic(_u13570, _u13572) )).
% 20.36/20.62 cnf(matrix-6159, plain, ( ~c_Nitpick_Owf_H(_u13570, _u13572) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13570, _u13570)), _u13572)) | c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 20.36/20.62 cnf(matrix-6160, plain, ( c_Nitpick_Owf_H(_u13571, _u13573) | ~c_Wellfounded_Oacyclic(_u13571, _u13573) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13571, _u13571)), _u13573)) )).
% 20.36/20.62 cnf(matrix-6161, plain, ( c_Nitpick_Owf_H(_u13571, _u13573) | ~c_Wellfounded_Oacyclic(_u13571, _u13573) | ~c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 20.36/20.62 cnf(matrix-6162, plain, ( ( _u13575 = hAPP(c_Int_OAbs__Integ, skolem337(_u13575))) )).
% 20.36/20.62 cnf(matrix-6163, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), skolem337(_u13575)), c_Int_OInteg)) )).
% 20.36/20.62 cnf(matrix-6164, plain, ( hBOOL(hAPP(_u13577, _u13578)) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), skolem338(_u13578, _u13577)), c_Int_OInteg)) )).
% 20.36/20.62 cnf(matrix-6165, plain, ( hBOOL(hAPP(_u13577, _u13578)) | ~hBOOL(hAPP(_u13577, hAPP(c_Int_OAbs__Integ, skolem338(_u13578, _u13577)))) )).
% 20.36/20.62 cnf(matrix-6166, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u13579, tc_HOL_Obool), _u13580) = hAPP(c_Set_OCollect(_u13579), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13579, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, _u13579), c_HOL_OAll(tc_fun(_u13579, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13579, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u13579, tc_HOL_Obool), tc_HOL_Obool), _u13579), hAPP(c_COMBS(tc_fun(_u13579, 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(_u13579, tc_HOL_Obool)), c_fimplies), hAPP(hAPP(c_COMBC(tc_fun(_u13579, tc_HOL_Obool), tc_fun(tc_fun(_u13579, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u13579, tc_HOL_Obool))), _u13580)))), c_member(_u13579))))) )).
% 20.36/20.62 cnf(matrix-6167, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13582), _u13583)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13584), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13582, tc_fun(_u13584, tc_HOL_Obool)), _u13583), _u13585))) | hBOOL(hAPP(hAPP(c_member(_u13582), skolem339(_u13585, _u13584, _u13583, _u13582)), _u13583)) )).
% 20.36/20.62 cnf(matrix-6168, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13582), _u13583)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13584), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13582, tc_fun(_u13584, tc_HOL_Obool)), _u13583), _u13585))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13584), hAPP(_u13585, skolem339(_u13585, _u13584, _u13583, _u13582)))) )).
% 20.36/20.62 cnf(matrix-6169, 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)), _u13588), _u13587) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem340(_u13588, _u13587)), _u13587)) )).
% 20.36/20.62 cnf(matrix-6170, 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)), _u13588), _u13587) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u13588), skolem340(_u13588, _u13587))) )).
% 20.36/20.62 cnf(matrix-6171, plain, ( ~c_Wellfounded_OwfP(_u13592, hAPP(_u13593, skolem341(_u13594, _u13593, _u13592))) | c_Wellfounded_OwfP(_u13592, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13594, tc_fun(_u13592, tc_fun(_u13592, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u13594, tc_HOL_Obool))), _u13593)) | ( hAPP(_u13593, skolem342(_u13594, _u13593, _u13592)) != hAPP(_u13593, skolem343(_u13594, _u13593, _u13592))) )).
% 20.36/20.62 cnf(matrix-6172, plain, ( ~c_Wellfounded_OwfP(_u13592, hAPP(_u13593, skolem341(_u13594, _u13593, _u13592))) | c_Wellfounded_OwfP(_u13592, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13594, tc_fun(_u13592, tc_fun(_u13592, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u13594, tc_HOL_Obool))), _u13593)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13592, tc_HOL_Obool)), c_Predicate_ODomainP(_u13592, _u13592, hAPP(_u13593, skolem342(_u13594, _u13593, _u13592)))), c_Predicate_ORangeP(_u13592, _u13592, hAPP(_u13593, skolem343(_u13594, _u13593, _u13592)))) != c_Orderings_Obot__class_Obot(tc_fun(_u13592, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-6173, plain, ( hBOOL(hAPP(hAPP(c_member(_u13600), _u13601), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13598, _u13599, tc_fun(_u13600, tc_HOL_Obool)), _u13602), _u13597))) | ( _u13597 = hAPP(hAPP(c_Product__Type_OPair(_u13598, _u13599), skolem344(_u13602, _u13601, _u13600, _u13599, _u13598, _u13597)), skolem345(_u13602, _u13601, _u13600, _u13599, _u13598, _u13597))) )).
% 20.36/20.62 cnf(matrix-6174, plain, ( hBOOL(hAPP(hAPP(c_member(_u13600), _u13601), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13598, _u13599, tc_fun(_u13600, tc_HOL_Obool)), _u13602), _u13597))) | ~hBOOL(hAPP(hAPP(c_member(_u13600), _u13601), hAPP(hAPP(_u13602, skolem344(_u13602, _u13601, _u13600, _u13599, _u13598, _u13597)), skolem345(_u13602, _u13601, _u13600, _u13599, _u13598, _u13597)))) )).
% 20.36/20.62 cnf(matrix-6175, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13605), _u13606), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13607, _u13608, tc_fun(_u13605, tc_HOL_Obool)), _u13609), _u13610))) | ( _u13610 = hAPP(hAPP(c_Product__Type_OPair(_u13607, _u13608), skolem346(_u13610, _u13609, _u13608, _u13607, _u13606, _u13605)), skolem347(_u13610, _u13609, _u13608, _u13607, _u13606, _u13605))) )).
% 20.36/20.62 cnf(matrix-6176, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13605), _u13606), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13607, _u13608, tc_fun(_u13605, tc_HOL_Obool)), _u13609), _u13610))) | hBOOL(hAPP(hAPP(c_member(_u13605), _u13606), hAPP(hAPP(_u13609, skolem346(_u13610, _u13609, _u13608, _u13607, _u13606, _u13605)), skolem347(_u13610, _u13609, _u13608, _u13607, _u13606, _u13605)))) )).
% 20.36/20.62 cnf(matrix-6177, plain, ( ( hAPP(c_Set_Ovimage(_u13611, tc_prod(_u13612, _u13613), _u13614), hAPP(hAPP(c_Product__Type_OSigma(_u13612, _u13613), _u13615), hAPP(c_COMBK(tc_fun(_u13613, tc_HOL_Obool), _u13612), _u13616))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13611, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13611, _u13612, hAPP(c_Fun_Ocomp(tc_prod(_u13612, _u13613), _u13612, _u13611, c_Product__Type_Ofst(_u13612, _u13613)), _u13614)), _u13615)), hAPP(c_Set_Ovimage(_u13611, _u13613, hAPP(c_Fun_Ocomp(tc_prod(_u13612, _u13613), _u13613, _u13611, c_Product__Type_Osnd(_u13612, _u13613)), _u13614)), _u13616))) )).
% 20.36/20.62 cnf(matrix-6178, plain, ( ( hAPP(_u13620, hAPP(_u13621, _u13623)) = hAPP(_u13622, _u13623)) | ( hAPP(c_Fun_Ocomp(_u13617, _u13618, _u13619, _u13620), _u13621) != hAPP(c_Fun_Ocomp(_u13618, _u13618, _u13619, c_Fun_Oid(_u13618)), _u13622)) )).
% 20.36/20.62 cnf(matrix-6179, plain, ( ( hAPP(c_Fun_Ocomp(_u13624, _u13624, _u13625, c_Fun_Oid(_u13624)), _u13626) = _u13626) )).
% 20.36/20.62 cnf(matrix-6180, plain, ( ( hAPP(c_Fun_Ocomp(_u13627, _u13628, _u13627, _u13629), c_Fun_Oid(_u13627)) = _u13629) )).
% 20.36/20.62 cnf(matrix-6181, plain, ( ( hAPP(c_Fun_Ocomp(_u13630, _u13631, _u13632, _u13633), c_Fun_Ofun__upd(_u13632, _u13630, _u13634, _u13635, _u13636)) = c_Fun_Ofun__upd(_u13632, _u13631, hAPP(c_Fun_Ocomp(_u13630, _u13631, _u13632, _u13633), _u13634), _u13635, hAPP(_u13633, _u13636))) )).
% 20.36/20.62 cnf(matrix-6182, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u13637, _u13638, _u13639, _u13640), hAPP(c_Product__Type_Oapsnd(_u13641, _u13637, _u13639, _u13642), _u13643)) = hAPP(c_Product__Type_Oapsnd(_u13641, _u13638, _u13639, hAPP(c_Fun_Ocomp(_u13637, _u13638, _u13641, _u13640), _u13642)), _u13643)) )).
% 20.36/20.62 cnf(matrix-6183, plain, ( ( hAPP(c_Fun_Ocomp(_u13645, _u13645, _u13645, hAPP(_u13646, _u13647)), hAPP(_u13646, _u13648)) = hAPP(c_Fun_Ocomp(_u13645, _u13645, _u13645, hAPP(_u13646, _u13648)), hAPP(_u13646, _u13647))) | ~c_Finite__Set_Ofun__left__comm(_u13644, _u13645, _u13646) )).
% 20.36/20.62 cnf(matrix-6184, plain, ( ( hAPP(_u13649, hAPP(_u13650, _u13651)) != hAPP(_u13652, hAPP(_u13653, _u13654))) | ( hAPP(hAPP(c_Fun_Ocomp(_u13655, _u13656, _u13657, _u13649), _u13650), _u13651) = hAPP(hAPP(c_Fun_Ocomp(_u13658, _u13656, _u13659, _u13652), _u13653), _u13654)) )).
% 20.36/20.62 cnf(matrix-6185, plain, ( ( hAPP(c_Fun_Ocomp(_u13661, _u13661, _u13661, hAPP(_u13662, _u13663)), hAPP(_u13662, _u13663)) = hAPP(_u13662, _u13663)) | ~c_Finite__Set_Ofun__left__comm__idem(_u13660, _u13661, _u13662) )).
% 20.36/20.62 cnf(matrix-6186, plain, ( ( hAPP(_u13667, hAPP(_u13668, _u13670)) = hAPP(_u13669, _u13670)) | ( hAPP(c_Fun_Ocomp(_u13664, _u13665, _u13666, _u13667), _u13668) != _u13669) )).
% 20.36/20.62 cnf(matrix-6187, plain, ( ( hAPP(hAPP(c_Fun_Ocomp(_u13671, _u13672, _u13673, hAPP(c_COMBK(_u13672, _u13671), _u13674)), _u13675), _u13676) = _u13674) )).
% 20.36/20.62 cnf(matrix-6188, plain, ( ( hAPP(c_Product__Type_Oapfst(_u13677, _u13678, _u13679, _u13680), hAPP(c_Product__Type_Oapfst(_u13681, _u13677, _u13679, _u13682), _u13683)) = hAPP(c_Product__Type_Oapfst(_u13681, _u13678, _u13679, hAPP(c_Fun_Ocomp(_u13677, _u13678, _u13681, _u13680), _u13682)), _u13683)) )).
% 20.36/20.62 cnf(matrix-6189, plain, ( ( hAPP(hAPP(c_Fun_Ocomp(_u13684, _u13685, _u13686, _u13687), _u13688), _u13689) = hAPP(_u13687, hAPP(_u13688, _u13689))) )).
% 20.36/20.62 cnf(matrix-6190, plain, ( ( hAPP(c_Set_Ovimage(_u13690, _u13691, hAPP(c_Fun_Ocomp(_u13692, _u13691, _u13690, _u13693), _u13694)), _u13695) = hAPP(c_Set_Ovimage(_u13690, _u13692, _u13694), hAPP(c_Set_Ovimage(_u13692, _u13691, _u13693), _u13695))) )).
% 20.36/20.62 cnf(matrix-6191, plain, ( ( hAPP(c_Fun_Ocomp(_u13696, _u13697, _u13698, _u13699), hAPP(c_Fun_Ocomp(_u13700, _u13696, _u13698, _u13701), _u13702)) = hAPP(c_Fun_Ocomp(_u13700, _u13697, _u13698, hAPP(c_Fun_Ocomp(_u13696, _u13697, _u13700, _u13699), _u13701)), _u13702)) )).
% 20.36/20.62 cnf(matrix-6192, plain, ( ( hAPP(hAPP(c_Fun_Ocomp(_u13703, _u13704, _u13705, _u13706), _u13707), _u13708) = hAPP(_u13706, hAPP(_u13707, _u13708))) )).
% 20.36/20.62 cnf(matrix-6193, plain, ( ( hAPP(_u13712, hAPP(_u13713, _u13717)) = hAPP(_u13715, hAPP(_u13716, _u13717))) | ( hAPP(c_Fun_Ocomp(_u13709, _u13710, _u13711, _u13712), _u13713) != hAPP(c_Fun_Ocomp(_u13714, _u13710, _u13711, _u13715), _u13716)) )).
% 20.36/20.62 cnf(matrix-6194, plain, ( ( hAPP(_u13722, hAPP(_u13723, _u13718)) = hAPP(_u13725, hAPP(_u13726, _u13718))) | ( hAPP(c_Fun_Ocomp(_u13719, _u13720, _u13721, _u13722), _u13723) != hAPP(c_Fun_Ocomp(_u13724, _u13720, _u13721, _u13725), _u13726)) )).
% 20.36/20.62 cnf(matrix-6195, plain, ( ( hAPP(c_Product__Type_Omap__pair(_u13727, _u13728, _u13729, _u13730, _u13731, _u13732), hAPP(c_Product__Type_Omap__pair(_u13733, _u13727, _u13734, _u13729, _u13735, _u13736), _u13737)) = hAPP(c_Product__Type_Omap__pair(_u13733, _u13728, _u13734, _u13730, hAPP(c_Fun_Ocomp(_u13727, _u13728, _u13733, _u13731), _u13735), hAPP(c_Fun_Ocomp(_u13729, _u13730, _u13734, _u13732), _u13736)), _u13737)) )).
% 20.36/20.62 cnf(matrix-6196, plain, ( ( c_Product__Type_Omap__pair(_u13738, _u13739, _u13740, _u13741, hAPP(c_Fun_Ocomp(_u13742, _u13739, _u13738, _u13743), _u13744), hAPP(c_Fun_Ocomp(_u13745, _u13741, _u13740, _u13746), _u13747)) = hAPP(c_Fun_Ocomp(tc_prod(_u13742, _u13745), tc_prod(_u13739, _u13741), tc_prod(_u13738, _u13740), c_Product__Type_Omap__pair(_u13742, _u13739, _u13745, _u13741, _u13743, _u13746)), c_Product__Type_Omap__pair(_u13738, _u13742, _u13740, _u13745, _u13744, _u13747))) )).
% 20.36/20.62 cnf(matrix-6197, plain, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13748, _u13749), tc_prod(_u13750, _u13751), tc_prod(_u13752, _u13753), c_Product__Type_Omap__pair(_u13748, _u13750, _u13749, _u13751, _u13754, _u13755)), c_Product__Type_Omap__pair(_u13752, _u13748, _u13753, _u13749, _u13756, _u13757)) = c_Product__Type_Omap__pair(_u13752, _u13750, _u13753, _u13751, hAPP(c_Fun_Ocomp(_u13748, _u13750, _u13752, _u13754), _u13756), hAPP(c_Fun_Ocomp(_u13749, _u13751, _u13753, _u13755), _u13757))) )).
% 20.36/20.62 cnf(matrix-6198, plain, ( ( hAPP(c_Set_Oimage(_u13758, _u13759, hAPP(c_Fun_Ocomp(_u13760, _u13759, _u13758, _u13761), _u13762)), _u13763) = hAPP(c_Set_Oimage(_u13760, _u13759, _u13761), hAPP(c_Set_Oimage(_u13758, _u13760, _u13762), _u13763))) )).
% 20.36/20.62 cnf(matrix-6199, plain, ( ( hAPP(c_Set_Oimage(_u13764, _u13765, _u13766), c_Orderings_Otop__class_Otop(tc_fun(_u13764, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13765, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13765, _u13767, _u13768), c_Orderings_Otop__class_Otop(tc_fun(_u13765, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13767, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13764, _u13767, hAPP(c_Fun_Ocomp(_u13765, _u13767, _u13764, _u13768), _u13766)), c_Orderings_Otop__class_Otop(tc_fun(_u13764, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u13767, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-6200, plain, ( ~c_Fun_Oinj__on(_u13769, _u13770, hAPP(c_Fun_Ocomp(_u13771, _u13770, _u13769, _u13772), _u13773), _u13774) | c_Fun_Oinj__on(_u13769, _u13771, _u13773, _u13774) )).
% 20.36/20.62 cnf(matrix-6201, plain, ( ~c_Fun_Oinj__on(_u13775, _u13776, _u13777, c_Orderings_Otop__class_Otop(tc_fun(_u13775, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u13778, _u13775, _u13779, c_Orderings_Otop__class_Otop(tc_fun(_u13778, tc_HOL_Obool))) | c_Fun_Oinj__on(_u13778, _u13776, hAPP(c_Fun_Ocomp(_u13775, _u13776, _u13778, _u13777), _u13779), c_Orderings_Otop__class_Otop(tc_fun(_u13778, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-6202, plain, ( ~c_Fun_Oinj__on(_u13780, _u13781, _u13782, _u13783) | ~c_Fun_Oinj__on(_u13781, _u13784, _u13785, hAPP(c_Set_Oimage(_u13780, _u13781, _u13782), _u13783)) | c_Fun_Oinj__on(_u13780, _u13784, hAPP(c_Fun_Ocomp(_u13781, _u13784, _u13780, _u13785), _u13782), _u13783) )).
% 20.36/20.62 cnf(matrix-6203, plain, ( ~c_Fun_Oinj__on(_u13780, _u13781, _u13782, _u13783) | ~c_Fun_Oinj__on(_u13780, _u13784, hAPP(c_Fun_Ocomp(_u13781, _u13784, _u13780, _u13785), _u13782), _u13783) | c_Fun_Oinj__on(_u13781, _u13784, _u13785, hAPP(c_Set_Oimage(_u13780, _u13781, _u13782), _u13783)) )).
% 20.36/20.62 cnf(matrix-6204, plain, ( ~c_Fun_Oinj__on(_u13786, _u13787, _u13788, _u13789) | ~c_Fun_Oinj__on(_u13787, _u13790, _u13791, hAPP(c_Set_Oimage(_u13786, _u13787, _u13788), _u13789)) | c_Fun_Oinj__on(_u13786, _u13790, hAPP(c_Fun_Ocomp(_u13787, _u13790, _u13786, _u13791), _u13788), _u13789) )).
% 20.36/20.62 cnf(matrix-6205, plain, ( ~c_Fun_Oinj__on(_u13792, _u13793, hAPP(c_Fun_Ocomp(_u13794, _u13793, _u13792, _u13795), _u13796), _u13797) | c_Fun_Oinj__on(_u13794, _u13793, _u13795, hAPP(c_Set_Oimage(_u13792, _u13794, _u13796), _u13797)) )).
% 20.36/20.62 cnf(matrix-6206, plain, ( ~class_Groups_Ocomm__monoid__add(_u13798) | ~c_Fun_Oinj__on(_u13799, _u13800, _u13801, _u13802) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13800, _u13798), _u13803), hAPP(c_Set_Oimage(_u13799, _u13800, _u13801), _u13802)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13799, _u13798), hAPP(c_Fun_Ocomp(_u13800, _u13798, _u13799, _u13803), _u13801)), _u13802)) )).
% 20.36/20.62 cnf(matrix-6207, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13804) | ~c_Fun_Oinj__on(_u13805, _u13806, _u13807, _u13808) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13806, _u13804), _u13809), hAPP(c_Set_Oimage(_u13805, _u13806, _u13807), _u13808)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13805, _u13804), hAPP(c_Fun_Ocomp(_u13806, _u13804, _u13805, _u13809), _u13807)), _u13808)) )).
% 20.36/20.62 cnf(matrix-6208, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13810) | ~c_Fun_Oinj__on(_u13811, _u13812, _u13813, _u13814) | ( _u13815 != hAPP(c_Set_Oimage(_u13811, _u13812, _u13813), _u13814)) | ( _u13816 != hAPP(c_Fun_Ocomp(_u13812, _u13810, _u13811, _u13817), _u13813)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13812, _u13810), _u13817), _u13815) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13811, _u13810), _u13816), _u13814)) )).
% 20.36/20.62 cnf(matrix-6209, plain, ( ~class_Groups_Ocomm__monoid__add(_u13818) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13819), _u13820)) | ~c_Fun_Oinj__on(_u13819, _u13819, _u13821, _u13820) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13819, _u13818), _u13822), hAPP(c_Set_Oimage(_u13819, _u13819, _u13821), _u13820)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13819, _u13818), hAPP(c_Fun_Ocomp(_u13819, _u13818, _u13819, _u13822), _u13821)), _u13820)) )).
% 20.36/20.62 cnf(matrix-6210, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13823) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13824), _u13825)) | ~c_Fun_Oinj__on(_u13824, _u13824, _u13826, _u13825) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13824, _u13823), _u13827), hAPP(c_Set_Oimage(_u13824, _u13824, _u13826), _u13825)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13824, _u13823), hAPP(c_Fun_Ocomp(_u13824, _u13823, _u13824, _u13827), _u13826)), _u13825)) )).
% 20.36/20.62 cnf(matrix-6211, plain, ( ~c_Fun_Oinj__on(_u13828, _u13829, _u13830, hAPP(c_Set_Oimage(_u13831, _u13828, _u13832), _u13833)) | ~c_Fun_Oinj__on(_u13831, _u13828, _u13832, _u13833) | ~hBOOL(hAPP(hAPP(c_member(_u13829), _u13834), hAPP(c_Set_Oimage(_u13828, _u13829, _u13830), hAPP(c_Set_Oimage(_u13831, _u13828, _u13832), _u13833)))) | ( hAPP(c_Fun_Othe__inv__into(_u13831, _u13829, _u13833, hAPP(c_Fun_Ocomp(_u13828, _u13829, _u13831, _u13830), _u13832)), _u13834) = hAPP(hAPP(c_Fun_Ocomp(_u13828, _u13831, _u13829, c_Fun_Othe__inv__into(_u13831, _u13828, _u13833, _u13832)), c_Fun_Othe__inv__into(_u13828, _u13829, hAPP(c_Set_Oimage(_u13831, _u13828, _u13832), _u13833), _u13830)), _u13834)) )).
% 20.36/20.62 cnf(matrix-6212, plain, ( ~class_Groups_Oab__semigroup__mult(_u13835) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13836), _u13837)) | ~c_Fun_Oinj__on(_u13836, _u13838, _u13839, _u13837) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13835, _u13838, c_Groups_Otimes__class_Otimes(_u13835)), _u13840), _u13841), hAPP(c_Set_Oimage(_u13836, _u13838, _u13839), _u13837)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13835, _u13836, c_Groups_Otimes__class_Otimes(_u13835)), hAPP(c_Fun_Ocomp(_u13838, _u13835, _u13836, _u13840), _u13839)), _u13841), _u13837)) )).
% 20.36/20.62 cnf(matrix-6213, plain, ( ~c_Finite__Set_Ofolding(_u13842, _u13843, _u13844, _u13845) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13842), _u13846)) | ~hBOOL(hAPP(hAPP(c_member(_u13842), _u13847), _u13846)) | ( hAPP(_u13845, _u13846) = hAPP(c_Fun_Ocomp(_u13843, _u13843, _u13843, hAPP(_u13845, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13842, tc_HOL_Obool)), _u13846), hAPP(hAPP(c_Set_Oinsert(_u13842), _u13847), c_Orderings_Obot__class_Obot(tc_fun(_u13842, tc_HOL_Obool)))))), hAPP(_u13844, _u13847))) )).
% 20.36/20.62 cnf(matrix-6214, plain, ( ~c_Finite__Set_Ofolding__image(_u13848, _u13849, _u13850, _u13851, _u13852) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13849), _u13853)) | ~c_Fun_Oinj__on(_u13849, _u13849, _u13854, _u13853) | ( hAPP(hAPP(_u13852, _u13855), hAPP(c_Set_Oimage(_u13849, _u13849, _u13854), _u13853)) = hAPP(hAPP(_u13852, hAPP(c_Fun_Ocomp(_u13849, _u13848, _u13849, _u13855), _u13854)), _u13853)) )).
% 20.36/20.62 cnf(matrix-6215, plain, ( ~c_Finite__Set_Ofolding(_u13856, _u13857, _u13858, _u13859) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13856), _u13860)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13856), _u13861)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13856, tc_HOL_Obool)), _u13860), _u13861) != c_Orderings_Obot__class_Obot(tc_fun(_u13856, tc_HOL_Obool))) | ( hAPP(_u13859, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13856, tc_HOL_Obool)), _u13860), _u13861)) = hAPP(c_Fun_Ocomp(_u13857, _u13857, _u13857, hAPP(_u13859, _u13860)), hAPP(_u13859, _u13861))) )).
% 20.36/20.62 cnf(matrix-6216, plain, ( ~c_Finite__Set_Ofolding(_u13862, _u13863, _u13864, _u13865) | ( hAPP(c_Fun_Ocomp(_u13866, _u13867, _u13868, _u13869), hAPP(c_Fun_Ocomp(_u13870, _u13866, _u13868, _u13871), _u13872)) = hAPP(c_Fun_Ocomp(_u13870, _u13867, _u13868, hAPP(c_Fun_Ocomp(_u13866, _u13867, _u13870, _u13869), _u13871)), _u13872)) )).
% 20.36/20.62 cnf(matrix-6217, plain, ( ( hAPP(c_Fun_Ocomp(_u13874, _u13874, _u13874, hAPP(_u13875, _u13877)), hAPP(_u13875, _u13878)) = hAPP(c_Fun_Ocomp(_u13874, _u13874, _u13874, hAPP(_u13875, _u13878)), hAPP(_u13875, _u13877))) | ~c_Finite__Set_Ofolding(_u13873, _u13874, _u13875, _u13876) )).
% 20.36/20.62 cnf(matrix-6218, plain, ( ( hAPP(c_Fun_Ocomp(_u13880, _u13880, _u13883, hAPP(_u13881, _u13884)), hAPP(c_Fun_Ocomp(_u13880, _u13880, _u13883, hAPP(_u13881, _u13885)), _u13886)) = hAPP(c_Fun_Ocomp(_u13880, _u13880, _u13883, hAPP(_u13881, _u13885)), hAPP(c_Fun_Ocomp(_u13880, _u13880, _u13883, hAPP(_u13881, _u13884)), _u13886))) | ~c_Finite__Set_Ofolding(_u13879, _u13880, _u13881, _u13882) )).
% 20.36/20.62 cnf(matrix-6219, plain, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13887, _u13888), _u13887, tc_prod(_u13889, _u13890), c_Product__Type_Ofst(_u13887, _u13888)), c_Product__Type_Omap__pair(_u13889, _u13887, _u13890, _u13888, _u13891, _u13892)) = hAPP(c_Fun_Ocomp(_u13889, _u13887, tc_prod(_u13889, _u13890), _u13891), c_Product__Type_Ofst(_u13889, _u13890))) )).
% 20.36/20.62 cnf(matrix-6220, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13893, tc_fun(_u13894, tc_HOL_Obool)), _u13895), hAPP(c_Fun_Ocomp(_u13896, tc_fun(_u13894, tc_HOL_Obool), _u13893, _u13897), _u13898)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13896, tc_fun(_u13894, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13893, _u13896, _u13898), _u13895)), _u13897)) )).
% 20.36/20.62 cnf(matrix-6221, plain, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13899, _u13900), _u13900, tc_prod(_u13901, _u13902), c_Product__Type_Osnd(_u13899, _u13900)), c_Product__Type_Omap__pair(_u13901, _u13899, _u13902, _u13900, _u13903, _u13904)) = hAPP(c_Fun_Ocomp(_u13902, _u13900, tc_prod(_u13901, _u13902), _u13904), c_Product__Type_Osnd(_u13901, _u13902))) )).
% 20.36/20.62 cnf(matrix-6222, plain, ( ~c_Finite__Set_Ofolding__image(_u13905, _u13906, _u13907, _u13908, _u13909) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13906), _u13910)) | ( hAPP(hAPP(_u13909, hAPP(hAPP(c_COMBS(_u13906, _u13905, _u13905), hAPP(hAPP(c_COMBB(_u13905, tc_fun(_u13905, _u13905), _u13906), _u13907), _u13911)), _u13912)), _u13910) = hAPP(hAPP(_u13907, hAPP(hAPP(_u13909, _u13911), _u13910)), hAPP(hAPP(_u13909, _u13912), _u13910))) )).
% 20.36/20.62 cnf(matrix-6223, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13913, _u13914, _u13915), hAPP(c_Fun_Ocomp(_u13916, tc_fun(_u13914, _u13915), _u13913, _u13917), _u13918)), _u13919) = hAPP(hAPP(_u13917, hAPP(_u13918, hAPP(c_Product__Type_Ofst(_u13913, _u13914), _u13919))), hAPP(c_Product__Type_Osnd(_u13913, _u13914), _u13919))) )).
% 20.36/20.62 cnf(matrix-6224, plain, ( ~c_Finite__Set_Ofolding(_u13920, _u13921, _u13922, _u13923) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13920), _u13924)) | ( hAPP(c_Fun_Ocomp(_u13921, _u13921, _u13921, hAPP(_u13922, _u13925)), hAPP(_u13923, _u13924)) = hAPP(c_Fun_Ocomp(_u13921, _u13921, _u13921, hAPP(_u13923, _u13924)), hAPP(_u13922, _u13925))) )).
% 20.36/20.62 cnf(matrix-6225, plain, ( ~c_Finite__Set_Ofolding(_u13926, _u13927, _u13928, _u13929) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13926), _u13930)) | ( hAPP(c_Fun_Ocomp(_u13927, _u13927, _u13931, hAPP(_u13928, _u13932)), hAPP(c_Fun_Ocomp(_u13927, _u13927, _u13931, hAPP(_u13929, _u13930)), _u13933)) = hAPP(c_Fun_Ocomp(_u13927, _u13927, _u13931, hAPP(_u13929, _u13930)), hAPP(c_Fun_Ocomp(_u13927, _u13927, _u13931, hAPP(_u13928, _u13932)), _u13933))) )).
% 20.36/20.62 cnf(matrix-6226, plain, ( ~c_Finite__Set_Ofolding(_u13934, _u13935, _u13936, _u13937) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13934), _u13938)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13934), _u13939)) | ( hAPP(c_Fun_Ocomp(_u13935, _u13935, _u13935, hAPP(_u13937, _u13939)), hAPP(_u13937, _u13938)) = hAPP(c_Fun_Ocomp(_u13935, _u13935, _u13935, hAPP(_u13937, _u13938)), hAPP(_u13937, _u13939))) )).
% 20.36/20.62 cnf(matrix-6227, plain, ( ~c_Finite__Set_Ofolding(_u13940, _u13941, _u13942, _u13943) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13940), _u13944)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13940), _u13945)) | ( hAPP(c_Fun_Ocomp(_u13941, _u13941, _u13946, hAPP(_u13943, _u13945)), hAPP(c_Fun_Ocomp(_u13941, _u13941, _u13946, hAPP(_u13943, _u13944)), _u13947)) = hAPP(c_Fun_Ocomp(_u13941, _u13941, _u13946, hAPP(_u13943, _u13944)), hAPP(c_Fun_Ocomp(_u13941, _u13941, _u13946, hAPP(_u13943, _u13945)), _u13947))) )).
% 20.36/20.62 cnf(matrix-6228, plain, ( ~c_Finite__Set_Ofolding(_u13948, _u13949, _u13950, _u13951) | ( hAPP(_u13951, c_Orderings_Obot__class_Obot(tc_fun(_u13948, tc_HOL_Obool))) = c_Fun_Oid(_u13949)) )).
% 20.36/20.62 cnf(matrix-6229, plain, ( ~c_Finite__Set_Ofolding(_u13952, _u13953, _u13954, _u13955) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13952), _u13956)) | ( hAPP(hAPP(_u13955, _u13956), _u13957) = hAPP(hAPP(c_Finite__Set_Ofold(_u13952, _u13953, _u13954), _u13957), _u13956)) )).
% 20.36/20.62 cnf(matrix-6230, plain, ( ~c_Finite__Set_Ofolding__image(_u13958, _u13959, _u13960, _u13961, _u13962) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13959), _u13963)) | ( hAPP(hAPP(_u13962, _u13964), _u13963) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13958, _u13959, _u13960), _u13964), _u13961), _u13963)) )).
% 20.36/20.62 cnf(matrix-6231, plain, ( ~c_Finite__Set_Ofolding(_u13965, _u13966, _u13967, _u13968) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13965), _u13969)) | hBOOL(hAPP(hAPP(c_member(_u13965), _u13970), _u13969)) | ( hAPP(_u13968, hAPP(hAPP(c_Set_Oinsert(_u13965), _u13970), _u13969)) = hAPP(c_Fun_Ocomp(_u13966, _u13966, _u13966, hAPP(_u13968, _u13969)), hAPP(_u13967, _u13970))) )).
% 20.36/20.62 cnf(matrix-6232, plain, ( ~c_Finite__Set_Ofolding(_u13971, _u13972, _u13973, _u13974) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13971), _u13975)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13971), _u13976)) | ( hAPP(c_Fun_Ocomp(_u13972, _u13972, _u13972, hAPP(_u13974, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13971, tc_HOL_Obool)), _u13975), _u13976))), hAPP(_u13974, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13971, tc_HOL_Obool)), _u13975), _u13976))) = hAPP(c_Fun_Ocomp(_u13972, _u13972, _u13972, hAPP(_u13974, _u13975)), hAPP(_u13974, _u13976))) )).
% 20.36/20.62 cnf(matrix-6233, plain, ( ~c_Finite__Set_Ofolding(_u13977, _u13978, _u13979, _u13980) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13977), _u13981)) | ( hAPP(_u13980, hAPP(hAPP(c_Set_Oinsert(_u13977), _u13982), _u13981)) = hAPP(c_Fun_Ocomp(_u13978, _u13978, _u13978, hAPP(_u13980, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13977, tc_HOL_Obool)), _u13981), hAPP(hAPP(c_Set_Oinsert(_u13977), _u13982), c_Orderings_Obot__class_Obot(tc_fun(_u13977, tc_HOL_Obool)))))), hAPP(_u13979, _u13982))) )).
% 20.36/20.62 cnf(matrix-6234, plain, ( ~c_Hoare__Mirabelle_Ohoare__valids(_u13983, _u13984, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13983)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13983), c_Hoare__Mirabelle_Opeek__and(_u13983, _u13985, _u13986)), _u13987), _u13985)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13983), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__valids(_u13983, _u13984, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13983)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13983), _u13985), c_Com_Ocom_OWhile(_u13986, _u13987)), c_Hoare__Mirabelle_Opeek__and(_u13983, _u13985, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate, c_fNot), _u13986)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13983), tc_HOL_Obool)))) )).
% 20.36/20.62 cnf(matrix-6235, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u13988, _u13989, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13988)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13988), c_Hoare__Mirabelle_Opeek__and(_u13988, _u13990, _u13991)), _u13992), _u13993)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13988), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u13988, _u13989, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13988)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13988), c_Hoare__Mirabelle_Opeek__and(_u13988, _u13990, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate, c_fNot), _u13991))), _u13994), _u13993)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13988), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u13988, _u13989, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13988)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13988), _u13990), c_Com_Ocom_OCond(_u13991, _u13992, _u13994)), _u13993)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13988), tc_HOL_Obool)))) )).
% 20.36/20.62 cnf(matrix-6236, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u13995, _u13996, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13995)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13995), c_Hoare__Mirabelle_Opeek__and(_u13995, _u13997, _u13998)), _u13999), _u13997)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13995), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u13995, _u13996, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13995)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13995), _u13997), c_Com_Ocom_OWhile(_u13998, _u13999)), c_Hoare__Mirabelle_Opeek__and(_u13995, _u13997, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate, c_fNot), _u13998)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13995), tc_HOL_Obool)))) )).
% 20.36/20.62 cnf(matrix-6237, plain, ( ~hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u14005, _u14007, _u14009), _u14011), _u14013)) | hBOOL(hAPP(hAPP(_u14007, _u14011), _u14013)) )).
% 20.36/20.62 cnf(matrix-6238, plain, ( ~hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u14005, _u14007, _u14009), _u14011), _u14013)) | hBOOL(hAPP(_u14009, _u14013)) )).
% 20.36/20.62 cnf(matrix-6239, plain, ( ~hBOOL(hAPP(hAPP(_u14008, _u14012), _u14014)) | ~hBOOL(hAPP(_u14010, _u14014)) | hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u14006, _u14008, _u14010), _u14012), _u14014)) )).
% 20.36/20.62 cnf(matrix-6240, plain, ( ~class_Groups_Ocomm__monoid__add(_u14017) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14018), _u14019)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14022, _u14017), _u14021), hAPP(c_Set_Oimage(_u14018, _u14022, _u14020), _u14019)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14018, _u14017), hAPP(c_Fun_Ocomp(_u14022, _u14017, _u14018, _u14021), _u14020)), _u14019)) | hBOOL(hAPP(hAPP(c_member(_u14018), skolem348(_u14022, _u14021, _u14020, _u14019, _u14018, _u14017)), _u14019)) )).
% 20.36/20.62 cnf(matrix-6241, plain, ( ~class_Groups_Ocomm__monoid__add(_u14017) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14018), _u14019)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14022, _u14017), _u14021), hAPP(c_Set_Oimage(_u14018, _u14022, _u14020), _u14019)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14018, _u14017), hAPP(c_Fun_Ocomp(_u14022, _u14017, _u14018, _u14021), _u14020)), _u14019)) | hBOOL(hAPP(hAPP(c_member(_u14018), skolem349(_u14022, _u14021, _u14020, _u14019, _u14018, _u14017)), _u14019)) )).
% 20.36/20.62 cnf(matrix-6242, plain, ( ~class_Groups_Ocomm__monoid__add(_u14017) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14018), _u14019)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14022, _u14017), _u14021), hAPP(c_Set_Oimage(_u14018, _u14022, _u14020), _u14019)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14018, _u14017), hAPP(c_Fun_Ocomp(_u14022, _u14017, _u14018, _u14021), _u14020)), _u14019)) | ( skolem348(_u14022, _u14021, _u14020, _u14019, _u14018, _u14017) != skolem349(_u14022, _u14021, _u14020, _u14019, _u14018, _u14017)) )).
% 20.36/20.62 cnf(matrix-6243, plain, ( ~class_Groups_Ocomm__monoid__add(_u14017) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14018), _u14019)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14022, _u14017), _u14021), hAPP(c_Set_Oimage(_u14018, _u14022, _u14020), _u14019)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14018, _u14017), hAPP(c_Fun_Ocomp(_u14022, _u14017, _u14018, _u14021), _u14020)), _u14019)) | ( hAPP(_u14020, skolem348(_u14022, _u14021, _u14020, _u14019, _u14018, _u14017)) = hAPP(_u14020, skolem349(_u14022, _u14021, _u14020, _u14019, _u14018, _u14017))) )).
% 20.36/20.62 cnf(matrix-6244, plain, ( ~class_Groups_Ocomm__monoid__add(_u14017) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14018), _u14019)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14022, _u14017), _u14021), hAPP(c_Set_Oimage(_u14018, _u14022, _u14020), _u14019)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14018, _u14017), hAPP(c_Fun_Ocomp(_u14022, _u14017, _u14018, _u14021), _u14020)), _u14019)) | ( hAPP(_u14021, hAPP(_u14020, skolem348(_u14022, _u14021, _u14020, _u14019, _u14018, _u14017))) != c_Groups_Ozero__class_Ozero(_u14017)) )).
% 20.36/20.62 cnf(matrix-6245, plain, ( ~c_Finite__Set_Ofolding__idem(_u14023, _u14024, _u14025, _u14026) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14023), _u14027)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14023), _u14028)) | ( hAPP(_u14026, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14023, tc_HOL_Obool)), _u14027), _u14028)) = hAPP(c_Fun_Ocomp(_u14024, _u14024, _u14024, hAPP(_u14026, _u14027)), hAPP(_u14026, _u14028))) )).
% 20.36/20.62 cnf(matrix-6246, plain, ( ~c_Finite__Set_Ofolding__idem(_u14029, _u14030, _u14031, _u14032) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14029), _u14033)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14029, tc_HOL_Obool)), _u14034), _u14033)) | ( hAPP(c_Fun_Ocomp(_u14030, _u14030, _u14030, hAPP(_u14032, _u14033)), hAPP(_u14032, _u14034)) = hAPP(_u14032, _u14033)) )).
% 20.36/20.62 cnf(matrix-6247, plain, ( ( hAPP(c_Fun_Ocomp(_u14036, _u14036, _u14039, hAPP(_u14037, _u14040)), hAPP(c_Fun_Ocomp(_u14036, _u14036, _u14039, hAPP(_u14037, _u14040)), _u14041)) = hAPP(c_Fun_Ocomp(_u14036, _u14036, _u14039, hAPP(_u14037, _u14040)), _u14041)) | ~c_Finite__Set_Ofolding__idem(_u14035, _u14036, _u14037, _u14038) )).
% 20.36/20.62 cnf(matrix-6248, plain, ( ( hAPP(c_Fun_Ocomp(_u14043, _u14043, _u14043, hAPP(_u14044, _u14046)), hAPP(_u14044, _u14046)) = hAPP(_u14044, _u14046)) | ~c_Finite__Set_Ofolding__idem(_u14042, _u14043, _u14044, _u14045) )).
% 20.36/20.62 cnf(matrix-6249, plain, ( ~c_Finite__Set_Ofolding__idem(_u14047, _u14048, _u14049, _u14050) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14047), _u14051)) | ~hBOOL(hAPP(hAPP(c_member(_u14047), _u14052), _u14051)) | ( hAPP(c_Fun_Ocomp(_u14048, _u14048, _u14048, hAPP(_u14050, _u14051)), hAPP(_u14049, _u14052)) = hAPP(_u14050, _u14051)) )).
% 20.36/20.62 cnf(matrix-6250, plain, ( ~c_Finite__Set_Ofolding__idem(_u14053, _u14054, _u14055, _u14056) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14053), _u14057)) | ( hAPP(_u14056, hAPP(hAPP(c_Set_Oinsert(_u14053), _u14058), _u14057)) = hAPP(c_Fun_Ocomp(_u14054, _u14054, _u14054, hAPP(_u14056, _u14057)), hAPP(_u14055, _u14058))) )).
% 20.36/20.62 cnf(matrix-6251, plain, ( ~class_Groups_Ocomm__monoid__mult(_u14060) | ~c_Fun_Oinj__on(_u14061, _u14062, _u14063, _u14064) | ( _u14065 != hAPP(c_Set_Oimage(_u14061, _u14062, _u14063), _u14064)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14062, _u14060), _u14067), _u14065) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14061, _u14060), _u14066), _u14064)) | hBOOL(hAPP(hAPP(c_member(_u14061), skolem350(_u14067, _u14066, _u14065, _u14064, _u14063, _u14062, _u14061, _u14060)), _u14064)) )).
% 20.36/20.62 cnf(matrix-6252, plain, ( ~class_Groups_Ocomm__monoid__mult(_u14060) | ~c_Fun_Oinj__on(_u14061, _u14062, _u14063, _u14064) | ( _u14065 != hAPP(c_Set_Oimage(_u14061, _u14062, _u14063), _u14064)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14062, _u14060), _u14067), _u14065) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14061, _u14060), _u14066), _u14064)) | ( hAPP(_u14066, skolem350(_u14067, _u14066, _u14065, _u14064, _u14063, _u14062, _u14061, _u14060)) != hAPP(hAPP(c_Fun_Ocomp(_u14062, _u14060, _u14061, _u14067), _u14063), skolem350(_u14067, _u14066, _u14065, _u14064, _u14063, _u14062, _u14061, _u14060))) )).
% 20.36/20.62 cnf(matrix-6253, plain, ( ( c_Hilbert__Choice_OEps(tc_prod(_u14068, _u14069), hAPP(c_Product__Type_Oprod_Oprod__case(_u14068, _u14069, tc_HOL_Obool), _u14070)) = c_Hilbert__Choice_OEps(tc_prod(_u14068, _u14069), hAPP(hAPP(c_COMBS(tc_prod(_u14068, _u14069), _u14069, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u14068, tc_fun(_u14069, tc_HOL_Obool), tc_prod(_u14068, _u14069)), _u14070), c_Product__Type_Ofst(_u14068, _u14069))), c_Product__Type_Osnd(_u14068, _u14069)))) )).
% 20.36/20.62 cnf(matrix-6254, plain, ( c_Wellfounded_Owf(_u14072, _u14073) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14072, tc_HOL_Obool)), skolem351(_u14073, _u14072)), hAPP(c_Relation_OImage(_u14072, _u14072, _u14073), skolem351(_u14073, _u14072)))) )).
% 20.36/20.62 cnf(matrix-6255, plain, ( c_Wellfounded_Owf(_u14072, _u14073) | ( skolem351(_u14073, _u14072) != c_Orderings_Obot__class_Obot(tc_fun(_u14072, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-6256, plain, ( ~hBOOL(hAPP(_u14075, _u14074)) | ( _u14076 != c_Hilbert__Choice_OEps(_u14077, _u14075)) | hBOOL(hAPP(_u14075, _u14076)) )).
% 20.36/20.62 cnf(matrix-6257, plain, ( ~hBOOL(hAPP(_u14079, _u14078)) | hBOOL(hAPP(_u14079, c_Hilbert__Choice_OEps(_u14080, _u14079))) )).
% 20.36/20.62 cnf(matrix-6258, plain, ( ~hBOOL(hAPP(_u14081, _u14082)) | hBOOL(hAPP(_u14081, c_Hilbert__Choice_OEps(_u14083, _u14081))) )).
% 20.36/20.62 cnf(matrix-6259, plain, ( ( c_Hilbert__Choice_OEps(_u14084, hAPP(c_fequal, _u14085)) = _u14085) )).
% 20.36/20.62 cnf(matrix-6260, plain, ( ( c_Hilbert__Choice_OEps(_u14086, hAPP(hAPP(c_COMBC(_u14086, _u14086, tc_HOL_Obool), c_fequal), _u14087)) = _u14087) )).
% 20.36/20.62 cnf(matrix-6261, plain, ( ~hBOOL(hAPP(_u14092, c_Hilbert__Choice_OEps(_u14094, _u14092))) | hBOOL(hAPP(_u14092, skolem352(_u14094, _u14092))) )).
% 20.36/20.62 cnf(matrix-6262, plain, ( ~hBOOL(hAPP(_u14093, _u14089)) | hBOOL(hAPP(_u14093, c_Hilbert__Choice_OEps(_u14095, _u14093))) )).
% 20.36/20.62 cnf(matrix-6263, plain, ( ~hBOOL(hAPP(_u14097, _u14096)) | hBOOL(hAPP(_u14097, c_Hilbert__Choice_OEps(_u14098, _u14097))) )).
% 20.36/20.62 cnf(matrix-6264, plain, ( ( c_Hilbert__Choice_OEps(tc_prod(_u14099, _u14100), _u14101) = c_Hilbert__Choice_OEps(tc_prod(_u14099, _u14100), hAPP(c_Product__Type_Oprod_Oprod__case(_u14099, _u14100, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u14100, tc_prod(_u14099, _u14100)), tc_fun(_u14100, tc_HOL_Obool), _u14099), hAPP(c_COMBB(tc_prod(_u14099, _u14100), tc_HOL_Obool, _u14100), _u14101)), c_Product__Type_OPair(_u14099, _u14100))))) )).
% 20.36/20.62 cnf(matrix-6265, plain, ( ( c_Hilbert__Choice_OEps(tc_prod(_u14102, _u14103), hAPP(c_Product__Type_Oprod_Oprod__case(_u14102, _u14103, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14102, tc_fun(_u14103, tc_HOL_Obool), tc_fun(_u14103, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14103, tc_HOL_Obool), tc_fun(_u14103, tc_HOL_Obool)), _u14102), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14103)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14102), c_fconj), hAPP(c_fequal, _u14104)))), hAPP(c_fequal, _u14105)))) = hAPP(hAPP(c_Product__Type_OPair(_u14102, _u14103), _u14104), _u14105)) )).
% 20.36/20.62 cnf(matrix-6266, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14107, tc_HOL_Obool)), _u14108), _u14109)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14107, _u14110), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u14107, _u14110), _u14108), _u14111)), hAPP(hAPP(c_Product__Type_OSigma(_u14107, _u14110), _u14109), _u14112))) | hBOOL(hAPP(hAPP(c_member(_u14107), skolem353(_u14112, _u14111, _u14110, _u14109, _u14108, _u14107)), _u14108)) )).
% 20.36/20.62 cnf(matrix-6267, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14107, tc_HOL_Obool)), _u14108), _u14109)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14107, _u14110), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u14107, _u14110), _u14108), _u14111)), hAPP(hAPP(c_Product__Type_OSigma(_u14107, _u14110), _u14109), _u14112))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14110, tc_HOL_Obool)), hAPP(_u14111, skolem353(_u14112, _u14111, _u14110, _u14109, _u14108, _u14107))), hAPP(_u14112, skolem353(_u14112, _u14111, _u14110, _u14109, _u14108, _u14107)))) )).
% 20.36/20.62 cnf(matrix-6268, plain, ( hBOOL(hAPP(hAPP(c_member(_u14114), _u14115), c_Wellfounded_Oacc(_u14114, _u14116))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14114, _u14114)), hAPP(hAPP(c_Product__Type_OPair(_u14114, _u14114), skolem354(_u14116, _u14115, _u14114)), _u14115)), _u14116)) )).
% 20.36/20.62 cnf(matrix-6269, plain, ( hBOOL(hAPP(hAPP(c_member(_u14114), _u14115), c_Wellfounded_Oacc(_u14114, _u14116))) | ~hBOOL(hAPP(hAPP(c_member(_u14114), skolem354(_u14116, _u14115, _u14114)), c_Wellfounded_Oacc(_u14114, _u14116))) )).
% 20.36/20.62 cnf(matrix-6270, plain, ( hBOOL(hAPP(hAPP(c_member(_u14118), _u14119), c_Wellfounded_Oacc(_u14118, _u14120))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14118, _u14118)), hAPP(hAPP(c_Product__Type_OPair(_u14118, _u14118), skolem355(_u14120, _u14119, _u14118)), _u14119)), _u14120)) )).
% 20.36/20.62 cnf(matrix-6271, plain, ( hBOOL(hAPP(hAPP(c_member(_u14118), _u14119), c_Wellfounded_Oacc(_u14118, _u14120))) | ~hBOOL(hAPP(hAPP(c_member(_u14118), skolem355(_u14120, _u14119, _u14118)), c_Wellfounded_Oacc(_u14118, _u14120))) )).
% 20.36/20.62 cnf(matrix-6272, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14129, tc_HOL_Obool), tc_fun(_u14129, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14129, tc_HOL_Obool), tc_fun(_u14129, tc_HOL_Obool)), _u14131), _u14133)), c_Wellfounded_Omax__ext(_u14129, _u14135))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14129), _u14131)) )).
% 20.36/20.62 cnf(matrix-6273, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14129, tc_HOL_Obool), tc_fun(_u14129, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14129, tc_HOL_Obool), tc_fun(_u14129, tc_HOL_Obool)), _u14131), _u14133)), c_Wellfounded_Omax__ext(_u14129, _u14135))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14129), _u14133)) )).
% 20.36/20.62 cnf(matrix-6274, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14129, tc_HOL_Obool), tc_fun(_u14129, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14129, tc_HOL_Obool), tc_fun(_u14129, tc_HOL_Obool)), _u14131), _u14133)), c_Wellfounded_Omax__ext(_u14129, _u14135))) | ( _u14133 != c_Orderings_Obot__class_Obot(tc_fun(_u14129, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-6275, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14129, tc_HOL_Obool), tc_fun(_u14129, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14129, tc_HOL_Obool), tc_fun(_u14129, tc_HOL_Obool)), _u14131), _u14133)), c_Wellfounded_Omax__ext(_u14129, _u14135))) | ~hBOOL(hAPP(hAPP(c_member(_u14129), _u14122), _u14131)) | hBOOL(hAPP(hAPP(c_member(_u14129), skolem356(_u14135, _u14133, _u14131, _u14129, _u14122)), _u14133)) )).
% 20.36/20.62 cnf(matrix-6276, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14129, tc_HOL_Obool), tc_fun(_u14129, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14129, tc_HOL_Obool), tc_fun(_u14129, tc_HOL_Obool)), _u14131), _u14133)), c_Wellfounded_Omax__ext(_u14129, _u14135))) | ~hBOOL(hAPP(hAPP(c_member(_u14129), _u14122), _u14131)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14129, _u14129)), hAPP(hAPP(c_Product__Type_OPair(_u14129, _u14129), _u14122), skolem356(_u14135, _u14133, _u14131, _u14129, _u14122))), _u14135)) )).
% 20.36/20.62 cnf(matrix-6277, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14130, tc_HOL_Obool), tc_fun(_u14130, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14130, tc_HOL_Obool), tc_fun(_u14130, tc_HOL_Obool)), _u14132), _u14134)), c_Wellfounded_Omax__ext(_u14130, _u14136))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14130), _u14132)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14130), _u14134)) | ( _u14134 = c_Orderings_Obot__class_Obot(tc_fun(_u14130, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u14130), skolem357(_u14136, _u14134, _u14132, _u14130)), _u14132)) )).
% 20.36/20.62 cnf(matrix-6278, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14130, tc_HOL_Obool), tc_fun(_u14130, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14130, tc_HOL_Obool), tc_fun(_u14130, tc_HOL_Obool)), _u14132), _u14134)), c_Wellfounded_Omax__ext(_u14130, _u14136))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14130), _u14132)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14130), _u14134)) | ( _u14134 = c_Orderings_Obot__class_Obot(tc_fun(_u14130, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u14130), _u14123), _u14134)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14130, _u14130)), hAPP(hAPP(c_Product__Type_OPair(_u14130, _u14130), skolem357(_u14136, _u14134, _u14132, _u14130)), _u14123)), _u14136)) )).
% 20.36/20.62 cnf(matrix-6279, plain, ( ~class_Orderings_Olinorder(_u14138) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14138), _u14139)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14138), hAPP(hAPP(c_Finite__Set_Ofold(_u14138, _u14138, c_Orderings_Oord__class_Omax(_u14138)), _u14141), _u14139)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u14138), _u14140), _u14141))) | hBOOL(hAPP(hAPP(c_member(_u14138), skolem358(_u14141, _u14140, _u14139, _u14138)), _u14139)) )).
% 20.36/20.62 cnf(matrix-6280, plain, ( ~class_Orderings_Olinorder(_u14138) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14138), _u14139)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14138), hAPP(hAPP(c_Finite__Set_Ofold(_u14138, _u14138, c_Orderings_Oord__class_Omax(_u14138)), _u14141), _u14139)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u14138), _u14140), _u14141))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14138), skolem358(_u14141, _u14140, _u14139, _u14138)), _u14140)) )).
% 20.36/20.62 cnf(matrix-6281, plain, ( ~class_Orderings_Olinorder(_u14143) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14143), _u14144)) | ~hBOOL(hAPP(hAPP(c_member(_u14143), _u14145), _u14144)) | ( c_Big__Operators_Olinorder__class_OMax(_u14143, _u14144) = _u14145) | hBOOL(hAPP(hAPP(c_member(_u14143), skolem359(_u14145, _u14144, _u14143)), _u14144)) )).
% 20.36/20.62 cnf(matrix-6282, plain, ( ~class_Orderings_Olinorder(_u14143) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14143), _u14144)) | ~hBOOL(hAPP(hAPP(c_member(_u14143), _u14145), _u14144)) | ( c_Big__Operators_Olinorder__class_OMax(_u14143, _u14144) = _u14145) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14143), skolem359(_u14145, _u14144, _u14143)), _u14145)) )).
% 20.36/20.62 cnf(matrix-6283, plain, ( ~c_Wellfounded_Owf(_u14147, _u14148) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14147, _u14147)), hAPP(hAPP(c_Product__Type_OPair(_u14147, _u14147), hAPP(_u14149, hAPP(c_Nat_OSuc, skolem360(_u14149, _u14148, _u14147)))), hAPP(_u14149, skolem360(_u14149, _u14148, _u14147)))), _u14148)) )).
% 20.36/20.62 cnf(matrix-6284, plain, ( ( _u14155 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u14157, _u14159, _u14155, _u14161), _u14163) = hAPP(c_Product__Type_OPair(_u14157, _u14159), _u14163)) )).
% 20.36/20.62 cnf(matrix-6285, plain, ( ( _u14156 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u14158, _u14160, _u14156, _u14162), _u14164) = hAPP(hAPP(c_Product__Type_Oscomp(_u14160, _u14158, _u14160, tc_prod(_u14158, _u14160)), hAPP(_u14162, _u14164)), c_Random_Oiterate(_u14158, _u14160, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u14156), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u14162))) )).
% 20.36/20.62 cnf(matrix-6286, plain, ( ~class_Groups_Ocomm__monoid__add(_u14166) | ~c_Fun_Oinj__on(_u14167, _u14168, _u14169, _u14170) | ( _u14171 != hAPP(c_Set_Oimage(_u14167, _u14168, _u14169), _u14170)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14168, _u14166), _u14173), _u14171) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14167, _u14166), _u14172), _u14170)) | hBOOL(hAPP(hAPP(c_member(_u14167), skolem361(_u14173, _u14172, _u14171, _u14170, _u14169, _u14168, _u14167, _u14166)), _u14170)) )).
% 20.36/20.62 cnf(matrix-6287, plain, ( ~class_Groups_Ocomm__monoid__add(_u14166) | ~c_Fun_Oinj__on(_u14167, _u14168, _u14169, _u14170) | ( _u14171 != hAPP(c_Set_Oimage(_u14167, _u14168, _u14169), _u14170)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14168, _u14166), _u14173), _u14171) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14167, _u14166), _u14172), _u14170)) | ( hAPP(_u14172, skolem361(_u14173, _u14172, _u14171, _u14170, _u14169, _u14168, _u14167, _u14166)) != hAPP(_u14173, hAPP(_u14169, skolem361(_u14173, _u14172, _u14171, _u14170, _u14169, _u14168, _u14167, _u14166)))) )).
% 20.36/20.62 cnf(matrix-6288, plain, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u14174, _u14175, _u14174, _u14176), hAPP(c_Product__Type_OPair(_u14175, _u14174), _u14177)), _u14178) = hAPP(_u14178, _u14177)) )).
% 20.36/20.62 cnf(matrix-6289, plain, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u14179, _u14180, _u14181, _u14182), hAPP(hAPP(c_Product__Type_Oscomp(_u14179, _u14183, _u14184, tc_prod(_u14180, _u14181)), _u14185), _u14186)), _u14187) = hAPP(hAPP(c_Product__Type_Oscomp(_u14179, _u14183, _u14184, _u14182), _u14185), hAPP(hAPP(c_COMBC(_u14183, tc_fun(_u14180, tc_fun(_u14181, _u14182)), tc_fun(_u14184, _u14182)), hAPP(hAPP(c_COMBB(tc_fun(_u14184, tc_prod(_u14180, _u14181)), tc_fun(tc_fun(_u14180, tc_fun(_u14181, _u14182)), tc_fun(_u14184, _u14182)), _u14183), c_Product__Type_Oscomp(_u14184, _u14180, _u14181, _u14182)), _u14186)), _u14187))) )).
% 20.36/20.62 cnf(matrix-6290, plain, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u14188, _u14189, _u14190, tc_prod(_u14189, _u14190)), _u14191), c_Product__Type_OPair(_u14189, _u14190)) = _u14191) )).
% 20.36/20.62 cnf(matrix-6291, plain, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u14192, _u14193, _u14194, _u14195), _u14196), _u14197), _u14198) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14193, _u14194, _u14195), _u14197), hAPP(_u14196, _u14198))) )).
% 20.36/20.62 cnf(matrix-6292, plain, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u14199, _u14200, _u14201, _u14202), _u14203), _u14204), _u14205) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14200, _u14201, _u14202), _u14204), hAPP(_u14203, _u14205))) )).
% 20.36/20.62 cnf(matrix-6293, plain, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u14206, _u14207, _u14208, _u14209), _u14210), _u14211), _u14212) = hAPP(hAPP(_u14211, hAPP(c_Product__Type_Ofst(_u14207, _u14208), hAPP(_u14210, _u14212))), hAPP(c_Product__Type_Osnd(_u14207, _u14208), hAPP(_u14210, _u14212)))) )).
% 20.36/20.62 cnf(matrix-6294, plain, ( ~class_Groups_Ocomm__monoid__add(_u14214) | ~class_Orderings_Oord(_u14215) | ( _u14216 != _u14217) | ( _u14218 != _u14219) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14215, _u14214), _u14220), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u14215, _u14216), _u14218)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14215, _u14214), _u14221), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u14215, _u14217), _u14219))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14215), _u14217), skolem362(_u14221, _u14220, _u14219, _u14218, _u14217, _u14216, _u14215, _u14214))) )).
% 20.36/20.62 cnf(matrix-6295, plain, ( ~class_Groups_Ocomm__monoid__add(_u14214) | ~class_Orderings_Oord(_u14215) | ( _u14216 != _u14217) | ( _u14218 != _u14219) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14215, _u14214), _u14220), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u14215, _u14216), _u14218)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14215, _u14214), _u14221), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u14215, _u14217), _u14219))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14215), skolem362(_u14221, _u14220, _u14219, _u14218, _u14217, _u14216, _u14215, _u14214)), _u14219)) )).
% 20.36/20.62 cnf(matrix-6296, plain, ( ~class_Groups_Ocomm__monoid__add(_u14214) | ~class_Orderings_Oord(_u14215) | ( _u14216 != _u14217) | ( _u14218 != _u14219) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14215, _u14214), _u14220), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u14215, _u14216), _u14218)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14215, _u14214), _u14221), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u14215, _u14217), _u14219))) | ( hAPP(_u14220, skolem362(_u14221, _u14220, _u14219, _u14218, _u14217, _u14216, _u14215, _u14214)) != hAPP(_u14221, skolem362(_u14221, _u14220, _u14219, _u14218, _u14217, _u14216, _u14215, _u14214))) )).
% 20.36/20.62 cnf(matrix-6297, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u14224), _u14226)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14224), _u14226)) )).
% 20.36/20.62 cnf(matrix-6298, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14225), _u14227)) | 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), _u14225), _u14227)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 20.36/20.62 cnf(matrix-6299, plain, ( ~c_Wellfounded_Owf(_u14228, _u14229) | c_Wellfounded_Owf(_u14228, c_Transitive__Closure_Otrancl(_u14228, _u14229)) )).
% 20.36/20.62 cnf(matrix-6300, plain, ( ( c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat)) )).
% 20.36/20.62 cnf(matrix-6301, plain, ( ~c_Wellfounded_Oacyclic(_u14234, _u14236) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14234, _u14234)), hAPP(hAPP(c_Product__Type_OPair(_u14234, _u14234), _u14230), _u14230)), c_Transitive__Closure_Otrancl(_u14234, _u14236))) )).
% 20.36/20.62 cnf(matrix-6302, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14235, _u14235)), hAPP(hAPP(c_Product__Type_OPair(_u14235, _u14235), skolem363(_u14237, _u14235)), skolem363(_u14237, _u14235))), c_Transitive__Closure_Otrancl(_u14235, _u14237))) | c_Wellfounded_Oacyclic(_u14235, _u14237) )).
% 20.36/20.62 cnf(matrix-6303, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14238, _u14238)), hAPP(hAPP(c_Product__Type_OPair(_u14238, _u14238), _u14239), _u14240)), _u14241)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14238, _u14238)), hAPP(hAPP(c_Product__Type_OPair(_u14238, _u14238), _u14239), _u14240)), c_Transitive__Closure_Otrancl(_u14238, _u14241))) )).
% 20.36/20.62 cnf(matrix-6304, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14242, _u14242), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14242, _u14243)), hAPP(hAPP(c_Product__Type_OSigma(_u14242, _u14242), hAPP(c_Relation_OField(_u14242), _u14243)), hAPP(c_COMBK(tc_fun(_u14242, tc_HOL_Obool), _u14242), hAPP(c_Relation_OField(_u14242), _u14243))))) )).
% 20.36/20.62 cnf(matrix-6305, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14244, _u14244)), _u14245), _u14246)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14244, _u14244)), _u14245), c_Transitive__Closure_Otrancl(_u14244, _u14246))) )).
% 20.36/20.62 cnf(matrix-6306, plain, ( ( c_Transitive__Closure_Otrancl(_u14247, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14247, _u14247), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14247, _u14247), tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-6307, plain, ( ( hAPP(c_Relation_ODomain(_u14248, _u14248), c_Transitive__Closure_Otrancl(_u14248, _u14249)) = hAPP(c_Relation_ODomain(_u14248, _u14248), _u14249)) )).
% 20.36/20.62 cnf(matrix-6308, plain, ( ( hAPP(c_Relation_ORange(_u14250, _u14250), c_Transitive__Closure_Otrancl(_u14250, _u14251)) = hAPP(c_Relation_ORange(_u14250, _u14250), _u14251)) )).
% 20.36/20.62 cnf(matrix-6309, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14254, _u14254)), c_Transitive__Closure_Otrancl(_u14254, _u14256))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14254, _u14254)), _u14256)) )).
% 20.36/20.62 cnf(matrix-6310, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14255, _u14255)), _u14257)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14255, _u14255)), c_Transitive__Closure_Otrancl(_u14255, _u14257))) )).
% 20.36/20.62 cnf(matrix-6311, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14258, _u14258)), hAPP(hAPP(c_Product__Type_OPair(_u14258, _u14258), _u14259), _u14260)), _u14261)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14258, _u14258)), hAPP(hAPP(c_Product__Type_OPair(_u14258, _u14258), _u14260), _u14262)), _u14261)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14258, _u14258)), hAPP(hAPP(c_Product__Type_OPair(_u14258, _u14258), _u14259), _u14262)), c_Transitive__Closure_Otrancl(_u14258, _u14261))) )).
% 20.36/20.62 cnf(matrix-6312, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14263, _u14263)), hAPP(hAPP(c_Product__Type_OPair(_u14263, _u14263), _u14264), _u14265)), _u14266)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14263, _u14263)), hAPP(hAPP(c_Product__Type_OPair(_u14263, _u14263), _u14265), _u14267)), c_Transitive__Closure_Otrancl(_u14263, _u14266))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14263, _u14263)), hAPP(hAPP(c_Product__Type_OPair(_u14263, _u14263), _u14264), _u14267)), c_Transitive__Closure_Otrancl(_u14263, _u14266))) )).
% 20.36/20.62 cnf(matrix-6313, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14268, _u14268)), hAPP(hAPP(c_Product__Type_OPair(_u14268, _u14268), _u14269), _u14270)), c_Transitive__Closure_Otrancl(_u14268, _u14271))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14268, _u14268)), hAPP(hAPP(c_Product__Type_OPair(_u14268, _u14268), _u14270), _u14272)), _u14271)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14268, _u14268)), hAPP(hAPP(c_Product__Type_OPair(_u14268, _u14268), _u14269), _u14272)), c_Transitive__Closure_Otrancl(_u14268, _u14271))) )).
% 20.36/20.62 cnf(matrix-6314, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14273, _u14273)), hAPP(hAPP(c_Product__Type_OPair(_u14273, _u14273), _u14274), _u14275)), c_Transitive__Closure_Otrancl(_u14273, _u14276))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14273, _u14273)), hAPP(hAPP(c_Product__Type_OPair(_u14273, _u14273), _u14275), _u14277)), c_Transitive__Closure_Otrancl(_u14273, _u14276))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14273, _u14273)), hAPP(hAPP(c_Product__Type_OPair(_u14273, _u14273), _u14274), _u14277)), c_Transitive__Closure_Otrancl(_u14273, _u14276))) )).
% 20.36/20.62 cnf(matrix-6315, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14278, _u14278)), _u14279), c_Transitive__Closure_Otrancl(_u14278, _u14280))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14278, _u14278), tc_HOL_Obool)), _u14280), _u14281)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14278, _u14278)), _u14279), c_Transitive__Closure_Otrancl(_u14278, _u14281))) )).
% 20.36/20.62 cnf(matrix-6316, plain, ( ( c_Transitive__Closure_Otrancl(_u14282, _u14283) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14282, _u14282), tc_HOL_Obool)), _u14283), hAPP(hAPP(c_Relation_Orel__comp(_u14282, _u14282, _u14282), c_Transitive__Closure_Otrancl(_u14282, _u14283)), _u14283))) )).
% 20.36/20.62 cnf(matrix-6317, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14284, _u14284), tc_HOL_Obool)), _u14285), hAPP(hAPP(c_Product__Type_OSigma(_u14284, _u14284), _u14286), hAPP(c_COMBK(tc_fun(_u14284, tc_HOL_Obool), _u14284), _u14286)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14284, _u14284), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14284, _u14285)), hAPP(hAPP(c_Product__Type_OSigma(_u14284, _u14284), _u14286), hAPP(c_COMBK(tc_fun(_u14284, tc_HOL_Obool), _u14284), _u14286)))) )).
% 20.36/20.62 cnf(matrix-6318, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14287, _u14287), tc_HOL_Obool)), _u14288), _u14289)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14287, _u14287), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14287, _u14287, _u14287), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14287, _u14287), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14287, _u14288)), _u14289)), _u14288)), _u14289)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14287, _u14287), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14287, _u14288)), _u14289)) )).
% 20.36/20.62 cnf(matrix-6319, plain, ( ( c_Transitive__Closure_Otrancl(_u14290, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14290, _u14290)), hAPP(hAPP(c_Product__Type_OPair(_u14290, _u14290), _u14291), _u14292)), _u14293)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14290, _u14290), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14290, _u14293)), hAPP(c_Set_OCollect(tc_prod(_u14290, _u14290)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14290, _u14290, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14290, tc_fun(_u14290, tc_HOL_Obool), tc_fun(_u14290, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14290, tc_HOL_Obool), tc_fun(_u14290, tc_HOL_Obool)), _u14290), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14290)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14290), c_fconj), hAPP(hAPP(c_COMBC(_u14290, tc_fun(tc_prod(_u14290, _u14290), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u14290, _u14290), tc_fun(tc_fun(tc_prod(_u14290, _u14290), tc_HOL_Obool), tc_HOL_Obool), _u14290), c_member(tc_prod(_u14290, _u14290))), hAPP(hAPP(c_COMBC(_u14290, _u14290, tc_prod(_u14290, _u14290)), c_Product__Type_OPair(_u14290, _u14290)), _u14291))), c_Transitive__Closure_Ortrancl(_u14290, _u14293))))), hAPP(hAPP(c_COMBC(_u14290, tc_fun(tc_prod(_u14290, _u14290), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u14290, _u14290), tc_fun(tc_fun(tc_prod(_u14290, _u14290), tc_HOL_Obool), tc_HOL_Obool), _u14290), c_member(tc_prod(_u14290, _u14290))), hAPP(c_Product__Type_OPair(_u14290, _u14290), _u14292))), c_Transitive__Closure_Ortrancl(_u14290, _u14293))))))) )).
% 20.36/20.62 cnf(matrix-6320, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14298, tc_fun(_u14298, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u14298, tc_fun(tc_prod(_u14298, _u14298), tc_HOL_Obool), tc_fun(_u14298, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14298, tc_fun(tc_fun(tc_prod(_u14298, _u14298), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14298, _u14298), tc_HOL_Obool), tc_fun(_u14298, tc_HOL_Obool)), _u14298), c_COMBC(_u14298, tc_fun(tc_prod(_u14298, _u14298), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14298, tc_prod(_u14298, _u14298)), tc_fun(_u14298, tc_fun(tc_fun(tc_prod(_u14298, _u14298), tc_HOL_Obool), tc_HOL_Obool)), _u14298), hAPP(c_COMBB(tc_prod(_u14298, _u14298), tc_fun(tc_fun(tc_prod(_u14298, _u14298), tc_HOL_Obool), tc_HOL_Obool), _u14298), c_member(tc_prod(_u14298, _u14298)))), c_Product__Type_OPair(_u14298, _u14298)))), _u14300)), c_fequal), _u14302), _u14304)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14298, _u14298)), hAPP(hAPP(c_Product__Type_OPair(_u14298, _u14298), _u14302), _u14304)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14298, _u14298), tc_HOL_Obool)), _u14300), c_Relation_OId(_u14298)))) )).
% 20.36/20.62 cnf(matrix-6321, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14299, _u14299)), hAPP(hAPP(c_Product__Type_OPair(_u14299, _u14299), _u14303), _u14305)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14299, _u14299), tc_HOL_Obool)), _u14301), c_Relation_OId(_u14299)))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14299, tc_fun(_u14299, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u14299, tc_fun(tc_prod(_u14299, _u14299), tc_HOL_Obool), tc_fun(_u14299, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14299, tc_fun(tc_fun(tc_prod(_u14299, _u14299), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14299, _u14299), tc_HOL_Obool), tc_fun(_u14299, tc_HOL_Obool)), _u14299), c_COMBC(_u14299, tc_fun(tc_prod(_u14299, _u14299), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14299, tc_prod(_u14299, _u14299)), tc_fun(_u14299, tc_fun(tc_fun(tc_prod(_u14299, _u14299), tc_HOL_Obool), tc_HOL_Obool)), _u14299), hAPP(c_COMBB(tc_prod(_u14299, _u14299), tc_fun(tc_fun(tc_prod(_u14299, _u14299), tc_HOL_Obool), tc_HOL_Obool), _u14299), c_member(tc_prod(_u14299, _u14299)))), c_Product__Type_OPair(_u14299, _u14299)))), _u14301)), c_fequal), _u14303), _u14305)) )).
% 20.36/20.62 cnf(matrix-6322, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14306, _u14306)), _u14307), _u14308)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14306, _u14306)), _u14307), c_Transitive__Closure_Ortrancl(_u14306, _u14308))) )).
% 20.36/20.62 cnf(matrix-6323, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14309, _u14309)), hAPP(hAPP(c_Product__Type_OPair(_u14309, _u14309), _u14310), _u14310)), c_Transitive__Closure_Ortrancl(_u14309, _u14311))) )).
% 20.36/20.62 cnf(matrix-6324, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14312, _u14312)), hAPP(hAPP(c_Product__Type_OPair(_u14312, _u14312), _u14313), _u14313)), c_Relation_OId(_u14312))) )).
% 20.36/20.62 cnf(matrix-6325, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14314, _u14314)), hAPP(hAPP(c_Product__Type_OPair(_u14314, _u14314), _u14315), _u14316)), c_Transitive__Closure_Otrancl(_u14314, _u14317))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14314, _u14314)), hAPP(hAPP(c_Product__Type_OPair(_u14314, _u14314), _u14315), _u14316)), c_Transitive__Closure_Ortrancl(_u14314, _u14317))) )).
% 20.36/20.62 cnf(matrix-6326, plain, ( ( c_Transitive__Closure_Otrancl(_u14318, _u14319) = hAPP(hAPP(c_Relation_Orel__comp(_u14318, _u14318, _u14318), _u14319), c_Transitive__Closure_Ortrancl(_u14318, _u14319))) )).
% 20.36/20.62 cnf(matrix-6327, plain, ( ( c_Transitive__Closure_Otrancl(_u14320, _u14321) = hAPP(hAPP(c_Relation_Orel__comp(_u14320, _u14320, _u14320), c_Transitive__Closure_Ortrancl(_u14320, _u14321)), _u14321)) )).
% 20.36/20.62 cnf(matrix-6328, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14322, _u14322), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14322, _u14323)), c_Relation_OId(_u14322)) = c_Transitive__Closure_Ortrancl(_u14322, _u14323)) )).
% 20.36/20.62 cnf(matrix-6329, plain, ( ( c_Transitive__Closure_Otrancl(_u14324, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14324, _u14324), tc_HOL_Obool)), _u14325), c_Relation_OId(_u14324))) = c_Transitive__Closure_Ortrancl(_u14324, _u14325)) )).
% 20.36/20.62 cnf(matrix-6330, plain, ( ( c_Transitive__Closure_Otrancl(_u14326, c_Transitive__Closure_Ortrancl(_u14326, _u14327)) = c_Transitive__Closure_Ortrancl(_u14326, _u14327)) )).
% 20.36/20.62 cnf(matrix-6331, plain, ( ( c_Transitive__Closure_Ortrancl(_u14328, c_Transitive__Closure_Otrancl(_u14328, _u14329)) = c_Transitive__Closure_Ortrancl(_u14328, _u14329)) )).
% 20.36/20.62 cnf(matrix-6332, plain, ( ( hAPP(c_Relation_ODomain(_u14330, _u14330), c_Transitive__Closure_Ortrancl(_u14330, _u14331)) = c_Orderings_Otop__class_Otop(tc_fun(_u14330, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-6333, plain, ( ( hAPP(c_Relation_ORange(_u14332, _u14332), c_Transitive__Closure_Ortrancl(_u14332, _u14333)) = c_Orderings_Otop__class_Otop(tc_fun(_u14332, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-6334, plain, ( c_Relation_Orefl__on(_u14334, c_Orderings_Otop__class_Otop(tc_fun(_u14334, tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14334, _u14335)) )).
% 20.36/20.62 cnf(matrix-6335, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14336, _u14336)), hAPP(hAPP(c_Product__Type_OPair(_u14336, _u14336), _u14337), _u14338)), _u14339)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14336, _u14336)), hAPP(hAPP(c_Product__Type_OPair(_u14336, _u14336), _u14338), _u14340)), c_Transitive__Closure_Ortrancl(_u14336, _u14339))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14336, _u14336)), hAPP(hAPP(c_Product__Type_OPair(_u14336, _u14336), _u14337), _u14340)), c_Transitive__Closure_Ortrancl(_u14336, _u14339))) )).
% 20.36/20.62 cnf(matrix-6336, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14341, _u14341)), hAPP(hAPP(c_Product__Type_OPair(_u14341, _u14341), _u14342), _u14343)), c_Transitive__Closure_Ortrancl(_u14341, _u14344))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14341, _u14341)), hAPP(hAPP(c_Product__Type_OPair(_u14341, _u14341), _u14343), _u14345)), _u14344)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14341, _u14341)), hAPP(hAPP(c_Product__Type_OPair(_u14341, _u14341), _u14342), _u14345)), c_Transitive__Closure_Ortrancl(_u14341, _u14344))) )).
% 20.36/20.62 cnf(matrix-6337, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14346, _u14346)), hAPP(hAPP(c_Product__Type_OPair(_u14346, _u14346), _u14347), _u14348)), c_Transitive__Closure_Ortrancl(_u14346, _u14349))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14346, _u14346)), hAPP(hAPP(c_Product__Type_OPair(_u14346, _u14346), _u14348), _u14350)), c_Transitive__Closure_Ortrancl(_u14346, _u14349))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14346, _u14346)), hAPP(hAPP(c_Product__Type_OPair(_u14346, _u14346), _u14347), _u14350)), c_Transitive__Closure_Ortrancl(_u14346, _u14349))) )).
% 20.36/20.62 cnf(matrix-6338, plain, ( ( c_Transitive__Closure_Ortrancl(_u14351, c_Transitive__Closure_Ortrancl(_u14351, _u14352)) = c_Transitive__Closure_Ortrancl(_u14351, _u14352)) )).
% 20.36/20.62 cnf(matrix-6339, plain, ( ( c_Transitive__Closure_Ortrancl(_u14353, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14353, _u14353), tc_HOL_Obool)), _u14354), c_Relation_OId(_u14353))) = c_Transitive__Closure_Ortrancl(_u14353, _u14354)) )).
% 20.36/20.62 cnf(matrix-6340, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14355, _u14355)), _u14356), c_Transitive__Closure_Ortrancl(_u14355, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14355, _u14355), tc_HOL_Obool)), _u14357), _u14358)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14355, _u14355)), _u14356), c_Transitive__Closure_Ortrancl(_u14355, _u14357))) )).
% 20.36/20.62 cnf(matrix-6341, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14355, _u14355)), _u14356), c_Transitive__Closure_Ortrancl(_u14355, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14355, _u14355), tc_HOL_Obool)), _u14357), _u14358)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14355, _u14355)), _u14356), c_Transitive__Closure_Ortrancl(_u14355, _u14358))) )).
% 20.36/20.62 cnf(matrix-6342, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14359, _u14359), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14359, _u14359), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14359, _u14360)), c_Transitive__Closure_Ortrancl(_u14359, _u14361))), c_Transitive__Closure_Ortrancl(_u14359, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14359, _u14359), tc_HOL_Obool)), _u14360), _u14361)))) )).
% 20.36/20.62 cnf(matrix-6343, plain, ( ( c_Transitive__Closure_Ortrancl(_u14362, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14362, _u14362), tc_HOL_Obool)), _u14363), c_Relation_OId(_u14362))) = c_Transitive__Closure_Ortrancl(_u14362, _u14363)) )).
% 20.36/20.62 cnf(matrix-6344, plain, ( ( c_Transitive__Closure_Ortrancl(_u14364, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14364, _u14364), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14364, _u14365)), c_Transitive__Closure_Ortrancl(_u14364, _u14366))) = c_Transitive__Closure_Ortrancl(_u14364, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14364, _u14364), tc_HOL_Obool)), _u14365), _u14366))) )).
% 20.36/20.62 cnf(matrix-6345, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14367, _u14367), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14367, _u14368)), c_Relation_OId(_u14367)) = c_Transitive__Closure_Ortrancl(_u14367, _u14368)) )).
% 20.36/20.62 cnf(matrix-6346, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14369, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14369, _u14369, _u14370), _u14371)), _u14371)) | ( hAPP(c_Relation_OImage(_u14369, _u14369, c_Transitive__Closure_Ortrancl(_u14369, _u14370)), _u14371) = _u14371) )).
% 20.36/20.62 cnf(matrix-6347, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14372, _u14372), tc_HOL_Obool)), _u14373), _u14374)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14372, _u14372), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14372, _u14373)), c_Transitive__Closure_Ortrancl(_u14372, _u14374))) )).
% 20.36/20.62 cnf(matrix-6348, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14375, _u14375), tc_HOL_Obool)), _u14376), _u14377)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14375, _u14375), tc_HOL_Obool)), _u14377), c_Transitive__Closure_Ortrancl(_u14375, _u14376))) | ( c_Transitive__Closure_Ortrancl(_u14375, _u14377) = c_Transitive__Closure_Ortrancl(_u14375, _u14376)) )).
% 20.36/20.62 cnf(matrix-6349, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14378, _u14378), tc_HOL_Obool)), _u14379), c_Transitive__Closure_Ortrancl(_u14378, _u14380))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14378, _u14378), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14378, _u14379)), c_Transitive__Closure_Ortrancl(_u14378, _u14380))) )).
% 20.36/20.62 cnf(matrix-6350, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14381, _u14381, _u14381), c_Transitive__Closure_Ortrancl(_u14381, _u14382)), c_Transitive__Closure_Ortrancl(_u14381, _u14382)) = c_Transitive__Closure_Ortrancl(_u14381, _u14382)) )).
% 20.36/20.62 cnf(matrix-6351, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14383, _u14383, _u14383), _u14384), c_Transitive__Closure_Ortrancl(_u14383, _u14384)) = hAPP(hAPP(c_Relation_Orel__comp(_u14383, _u14383, _u14383), c_Transitive__Closure_Ortrancl(_u14383, _u14384)), _u14384)) )).
% 20.36/20.62 cnf(matrix-6352, plain, ( ( c_Transitive__Closure_Ortrancl(_u14385, _u14386) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14385, _u14385), tc_HOL_Obool)), c_Relation_OId(_u14385)), hAPP(hAPP(c_Relation_Orel__comp(_u14385, _u14385, _u14385), c_Transitive__Closure_Ortrancl(_u14385, _u14386)), _u14386))) )).
% 20.36/20.62 cnf(matrix-6353, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14387, _u14387), tc_HOL_Obool)), c_Relation_OId(_u14387)), _u14388)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14387, _u14387), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14387, _u14387, _u14387), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14387, _u14387), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14387, _u14389)), _u14388)), _u14389)), _u14388)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14387, _u14387), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14387, _u14389)), _u14388)) )).
% 20.36/20.62 cnf(matrix-6354, plain, ( ( c_Transitive__Closure_Ortrancl(_u14390, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14390, _u14390), tc_HOL_Obool))) = c_Relation_OId(_u14390)) )).
% 20.36/20.62 cnf(matrix-6355, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14391, _u14392, _u14392), _u14393), c_Relation_OId(_u14392)) = _u14393) )).
% 20.36/20.62 cnf(matrix-6356, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14394, _u14394, _u14395), c_Relation_OId(_u14394)), _u14396) = _u14396) )).
% 20.36/20.62 cnf(matrix-6357, plain, ( ( hAPP(c_Relation_OImage(_u14397, _u14397, c_Relation_OId(_u14397)), _u14398) = _u14398) )).
% 20.36/20.62 cnf(matrix-6358, plain, ( ( _u14404 = _u14406) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14402, _u14402)), hAPP(hAPP(c_Product__Type_OPair(_u14402, _u14402), _u14404), _u14406)), c_Relation_OId(_u14402))) )).
% 20.36/20.62 cnf(matrix-6359, plain, ( ( _u14405 != _u14407) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14403, _u14403)), hAPP(hAPP(c_Product__Type_OPair(_u14403, _u14403), _u14405), _u14407)), c_Relation_OId(_u14403))) )).
% 20.36/20.62 cnf(matrix-6360, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14412, _u14412)), hAPP(hAPP(c_Product__Type_OPair(_u14412, _u14412), _u14414), _u14416)), c_Transitive__Closure_Ortrancl(_u14412, _u14418))) | ( _u14414 = _u14416) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14412, _u14412)), hAPP(hAPP(c_Product__Type_OPair(_u14412, _u14412), _u14414), _u14416)), c_Transitive__Closure_Otrancl(_u14412, _u14418))) )).
% 20.36/20.62 cnf(matrix-6361, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14413, _u14413)), hAPP(hAPP(c_Product__Type_OPair(_u14413, _u14413), _u14415), _u14417)), c_Transitive__Closure_Ortrancl(_u14413, _u14419))) | ( _u14415 != _u14417) )).
% 20.36/20.62 cnf(matrix-6362, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14413, _u14413)), hAPP(hAPP(c_Product__Type_OPair(_u14413, _u14413), _u14415), _u14417)), c_Transitive__Closure_Ortrancl(_u14413, _u14419))) | ( _u14415 = _u14417) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14413, _u14413)), hAPP(hAPP(c_Product__Type_OPair(_u14413, _u14413), _u14415), _u14417)), c_Transitive__Closure_Otrancl(_u14413, _u14419))) )).
% 20.36/20.62 cnf(matrix-6363, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14420, _u14420)), hAPP(hAPP(c_Product__Type_OPair(_u14420, _u14420), _u14421), _u14422)), _u14423)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14420, _u14420)), hAPP(hAPP(c_Product__Type_OPair(_u14420, _u14420), _u14422), _u14424)), c_Transitive__Closure_Ortrancl(_u14420, _u14423))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14420, _u14420)), hAPP(hAPP(c_Product__Type_OPair(_u14420, _u14420), _u14421), _u14424)), c_Transitive__Closure_Otrancl(_u14420, _u14423))) )).
% 20.36/20.62 cnf(matrix-6364, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14425, _u14425)), hAPP(hAPP(c_Product__Type_OPair(_u14425, _u14425), _u14426), _u14427)), c_Transitive__Closure_Ortrancl(_u14425, _u14428))) | ( _u14426 = _u14427) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14425, _u14425)), hAPP(hAPP(c_Product__Type_OPair(_u14425, _u14425), _u14426), _u14427)), c_Transitive__Closure_Otrancl(_u14425, _u14428))) )).
% 20.36/20.62 cnf(matrix-6365, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14429, _u14429)), hAPP(hAPP(c_Product__Type_OPair(_u14429, _u14429), _u14430), _u14431)), c_Transitive__Closure_Ortrancl(_u14429, _u14432))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14429, _u14429)), hAPP(hAPP(c_Product__Type_OPair(_u14429, _u14429), _u14431), _u14433)), _u14432)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14429, _u14429)), hAPP(hAPP(c_Product__Type_OPair(_u14429, _u14429), _u14430), _u14433)), c_Transitive__Closure_Otrancl(_u14429, _u14432))) )).
% 20.36/20.62 cnf(matrix-6366, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14434, _u14434)), hAPP(hAPP(c_Product__Type_OPair(_u14434, _u14434), _u14435), _u14436)), c_Transitive__Closure_Otrancl(_u14434, _u14437))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14434, _u14434)), hAPP(hAPP(c_Product__Type_OPair(_u14434, _u14434), _u14436), _u14438)), c_Transitive__Closure_Ortrancl(_u14434, _u14437))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14434, _u14434)), hAPP(hAPP(c_Product__Type_OPair(_u14434, _u14434), _u14435), _u14438)), c_Transitive__Closure_Otrancl(_u14434, _u14437))) )).
% 20.36/20.62 cnf(matrix-6367, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14439, _u14439)), hAPP(hAPP(c_Product__Type_OPair(_u14439, _u14439), _u14440), _u14441)), c_Transitive__Closure_Ortrancl(_u14439, _u14442))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14439, _u14439)), hAPP(hAPP(c_Product__Type_OPair(_u14439, _u14439), _u14441), _u14443)), c_Transitive__Closure_Otrancl(_u14439, _u14442))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14439, _u14439)), hAPP(hAPP(c_Product__Type_OPair(_u14439, _u14439), _u14440), _u14443)), c_Transitive__Closure_Otrancl(_u14439, _u14442))) )).
% 20.36/20.62 cnf(matrix-6368, plain, ( ( hAPP(c_Relation_ODomain(_u14444, _u14444), c_Relation_OId(_u14444)) = c_Orderings_Otop__class_Otop(tc_fun(_u14444, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-6369, plain, ( ( hAPP(c_Relation_ORange(_u14445, _u14445), c_Relation_OId(_u14445)) = c_Orderings_Otop__class_Otop(tc_fun(_u14445, tc_HOL_Obool))) )).
% 20.36/20.62 cnf(matrix-6370, plain, ( c_Relation_Orefl__on(_u14446, c_Orderings_Otop__class_Otop(tc_fun(_u14446, tc_HOL_Obool)), c_Relation_OId(_u14446)) )).
% 20.36/20.62 cnf(matrix-6371, 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)))) )).
% 20.36/20.62 cnf(matrix-6372, plain, ( hBOOL(hAPP(hAPP(c_member(_u14447), _u14448), hAPP(c_Relation_ODomain(_u14447, _u14447), _u14449))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14447, _u14447)), hAPP(hAPP(c_Product__Type_OPair(_u14447, _u14447), _u14448), _u14450)), c_Transitive__Closure_Ortrancl(_u14447, _u14449))) | ( _u14448 = _u14450) )).
% 20.36/20.62 cnf(matrix-6373, plain, ( hBOOL(hAPP(hAPP(c_member(_u14447), _u14448), hAPP(c_Relation_ODomain(_u14447, _u14447), _u14449))) | ( _u14448 != _u14450) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14447, _u14447)), hAPP(hAPP(c_Product__Type_OPair(_u14447, _u14447), _u14448), _u14450)), c_Transitive__Closure_Ortrancl(_u14447, _u14449))) )).
% 20.36/20.62 cnf(matrix-6374, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14451, _u14451)), hAPP(hAPP(c_Product__Type_OPair(_u14451, _u14451), _u14452), _u14453)), c_Transitive__Closure_Ortrancl(_u14451, _u14454))) | ~hBOOL(hAPP(hAPP(c_member(_u14451), _u14453), c_Wellfounded_Oacc(_u14451, _u14454))) | hBOOL(hAPP(hAPP(c_member(_u14451), _u14452), c_Wellfounded_Oacc(_u14451, _u14454))) )).
% 20.36/20.62 cnf(matrix-6375, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14455), _u14456), c_Wellfounded_Oacc(_u14455, _u14457))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14455, _u14455)), hAPP(hAPP(c_Product__Type_OPair(_u14455, _u14455), _u14458), _u14456)), c_Transitive__Closure_Ortrancl(_u14455, _u14457))) | hBOOL(hAPP(hAPP(c_member(_u14455), _u14458), c_Wellfounded_Oacc(_u14455, _u14457))) )).
% 20.36/20.62 cnf(matrix-6376, plain, ( ~c_Wellfounded_Owf(_u14463, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14463, _u14463)), hAPP(hAPP(c_Product__Type_OPair(_u14463, _u14463), _u14465), _u14467)), _u14469)) | c_Wellfounded_Owf(_u14463, _u14469) )).
% 20.36/20.62 cnf(matrix-6377, plain, ( ~c_Wellfounded_Owf(_u14463, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14463, _u14463)), hAPP(hAPP(c_Product__Type_OPair(_u14463, _u14463), _u14465), _u14467)), _u14469)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14463, _u14463)), hAPP(hAPP(c_Product__Type_OPair(_u14463, _u14463), _u14467), _u14465)), c_Transitive__Closure_Ortrancl(_u14463, _u14469))) )).
% 20.36/20.62 cnf(matrix-6378, plain, ( ~c_Wellfounded_Owf(_u14464, _u14470) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14464, _u14464)), hAPP(hAPP(c_Product__Type_OPair(_u14464, _u14464), _u14468), _u14466)), c_Transitive__Closure_Ortrancl(_u14464, _u14470))) | c_Wellfounded_Owf(_u14464, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14464, _u14464)), hAPP(hAPP(c_Product__Type_OPair(_u14464, _u14464), _u14466), _u14468)), _u14470)) )).
% 20.36/20.62 cnf(matrix-6379, plain, ( ~c_Wellfounded_Oacyclic(_u14475, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14475, _u14475)), hAPP(hAPP(c_Product__Type_OPair(_u14475, _u14475), _u14477), _u14479)), _u14481)) | c_Wellfounded_Oacyclic(_u14475, _u14481) )).
% 20.36/20.62 cnf(matrix-6380, plain, ( ~c_Wellfounded_Oacyclic(_u14475, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14475, _u14475)), hAPP(hAPP(c_Product__Type_OPair(_u14475, _u14475), _u14477), _u14479)), _u14481)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14475, _u14475)), hAPP(hAPP(c_Product__Type_OPair(_u14475, _u14475), _u14479), _u14477)), c_Transitive__Closure_Ortrancl(_u14475, _u14481))) )).
% 20.36/20.62 cnf(matrix-6381, plain, ( ~c_Wellfounded_Oacyclic(_u14476, _u14482) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14476, _u14476)), hAPP(hAPP(c_Product__Type_OPair(_u14476, _u14476), _u14480), _u14478)), c_Transitive__Closure_Ortrancl(_u14476, _u14482))) | c_Wellfounded_Oacyclic(_u14476, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14476, _u14476)), hAPP(hAPP(c_Product__Type_OPair(_u14476, _u14476), _u14478), _u14480)), _u14482)) )).
% 20.36/20.62 cnf(matrix-6382, plain, ( c_Relation_Orefl__on(_u14483, c_Orderings_Otop__class_Otop(tc_fun(_u14483, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14483, _u14483), tc_HOL_Obool)), _u14484), c_Relation_OId(_u14483))) )).
% 20.36/20.62 cnf(matrix-6383, plain, ( ( c_Relation_OId(_u14485) = hAPP(c_Set_OCollect(tc_prod(_u14485, _u14485)), hAPP(hAPP(c_COMBB(tc_fun(_u14485, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u14485, _u14485)), c_HOL_OEx(_u14485)), hAPP(hAPP(c_COMBC(tc_prod(_u14485, _u14485), tc_fun(_u14485, tc_prod(_u14485, _u14485)), tc_fun(_u14485, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14485, _u14485), tc_HOL_Obool), tc_fun(tc_fun(_u14485, tc_prod(_u14485, _u14485)), tc_fun(_u14485, tc_HOL_Obool)), tc_prod(_u14485, _u14485)), c_COMBB(tc_prod(_u14485, _u14485), tc_HOL_Obool, _u14485)), c_fequal)), hAPP(hAPP(c_COMBS(_u14485, _u14485, tc_prod(_u14485, _u14485)), c_Product__Type_OPair(_u14485, _u14485)), c_COMBI(_u14485)))))) )).
% 20.36/20.62 cnf(matrix-6384, plain, ( c_Relation_Oirrefl(_u14486, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14486, _u14486), tc_HOL_Obool)), _u14487), c_Relation_OId(_u14486))) )).
% 20.36/20.62 cnf(matrix-6385, 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), _u14490), _u14492)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14490), _u14492)) )).
% 20.36/20.62 cnf(matrix-6386, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14491), _u14493)) | 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), _u14491), _u14493)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 20.36/20.62 cnf(matrix-6387, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14494, _u14494)), hAPP(hAPP(c_Product__Type_OPair(_u14494, _u14494), _u14495), _u14496)), c_Transitive__Closure_Ortrancl(_u14494, _u14497))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14494, _u14494), tc_HOL_Obool)), _u14497), hAPP(hAPP(c_Product__Type_OSigma(_u14494, _u14494), _u14498), hAPP(c_COMBK(tc_fun(_u14494, tc_HOL_Obool), _u14494), _u14498)))) | ( _u14495 = _u14496) | hBOOL(hAPP(hAPP(c_member(_u14494), _u14495), _u14498)) )).
% 20.36/20.62 cnf(matrix-6388, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14499, _u14499), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u14499, _u14499), _u14500)), c_Transitive__Closure_Ortrancl(_u14499, _u14500)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14499, _u14499), tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14499, _u14499)), hAPP(hAPP(c_Product__Type_OPair(_u14499, _u14499), _u14501), _u14501)), c_Transitive__Closure_Otrancl(_u14499, _u14500))) )).
% 20.36/20.62 cnf(matrix-6389, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14503, _u14503)), hAPP(hAPP(c_Product__Type_OPair(_u14503, _u14503), hAPP(_u14504, hAPP(c_Nat_OSuc, skolem364(_u14507, _u14506, _u14505, _u14504, _u14503)))), hAPP(_u14504, skolem364(_u14507, _u14506, _u14505, _u14504, _u14503)))), c_Transitive__Closure_Ortrancl(_u14503, _u14505))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14503, _u14503)), hAPP(hAPP(c_Product__Type_OPair(_u14503, _u14503), hAPP(_u14504, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14506), _u14507))), hAPP(_u14504, _u14506))), c_Transitive__Closure_Ortrancl(_u14503, _u14505))) )).
% 20.36/20.62 cnf(matrix-6390, plain, ( ( c_Transitive__Closure_Ortrancl(_u14508, hAPP(c_Relation_Oconverse(_u14508, _u14508), _u14509)) = hAPP(c_Relation_Oconverse(_u14508, _u14508), c_Transitive__Closure_Ortrancl(_u14508, _u14509))) )).
% 20.36/20.62 cnf(matrix-6391, plain, ( ( hAPP(c_Relation_Oconverse(_u14510, _u14510), c_Relation_OId(_u14510)) = c_Relation_OId(_u14510)) )).
% 20.36/20.62 cnf(matrix-6392, plain, ( ~c_Wellfounded_Oacyclic(_u14513, hAPP(c_Relation_Oconverse(_u14513, _u14513), _u14515)) | c_Wellfounded_Oacyclic(_u14513, _u14515) )).
% 20.36/20.62 cnf(matrix-6393, plain, ( ~c_Wellfounded_Oacyclic(_u14514, _u14516) | c_Wellfounded_Oacyclic(_u14514, hAPP(c_Relation_Oconverse(_u14514, _u14514), _u14516)) )).
% 20.36/20.62 cnf(matrix-6394, plain, ( ~c_Relation_Orefl__on(_u14520, _u14522, hAPP(c_Relation_Oconverse(_u14520, _u14520), _u14524)) | c_Relation_Orefl__on(_u14520, _u14522, _u14524) )).
% 20.36/20.62 cnf(matrix-6395, plain, ( ~c_Relation_Orefl__on(_u14521, _u14523, _u14525) | c_Relation_Orefl__on(_u14521, _u14523, hAPP(c_Relation_Oconverse(_u14521, _u14521), _u14525)) )).
% 20.36/20.62 cnf(matrix-6396, plain, ( ( hAPP(c_Relation_Oconverse(_u14526, _u14526), c_Relation_OId__on(_u14526, _u14527)) = c_Relation_OId__on(_u14526, _u14527)) )).
% 20.36/20.62 cnf(matrix-6397, plain, ( ( hAPP(c_Relation_OField(_u14528), hAPP(c_Relation_Oconverse(_u14528, _u14528), _u14529)) = hAPP(c_Relation_OField(_u14528), _u14529)) )).
% 20.36/20.62 cnf(matrix-6398, plain, ( ( hAPP(c_Relation_Oconverse(_u14530, _u14531), hAPP(c_Relation_Oconverse(_u14531, _u14530), _u14532)) = _u14532) )).
% 20.36/20.62 cnf(matrix-6399, plain, ( ( hAPP(c_Relation_Oconverse(_u14533, _u14533), hAPP(hAPP(c_Relation_Oinv__image(_u14534, _u14533), _u14535), _u14536)) = hAPP(hAPP(c_Relation_Oinv__image(_u14534, _u14533), hAPP(c_Relation_Oconverse(_u14534, _u14534), _u14535)), _u14536)) )).
% 20.36/20.62 cnf(matrix-6400, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14540, _u14542)), hAPP(c_Relation_Oconverse(_u14542, _u14540), _u14544))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14542, _u14540)), _u14544)) )).
% 20.36/20.62 cnf(matrix-6401, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14543, _u14541)), _u14545)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14541, _u14543)), hAPP(c_Relation_Oconverse(_u14543, _u14541), _u14545))) )).
% 20.36/20.62 cnf(matrix-6402, plain, ( ( hAPP(c_Relation_Oconverse(_u14546, _u14547), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14546, _u14547), tc_HOL_Obool)), _u14548), _u14549)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14547, _u14546), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u14546, _u14547), _u14548)), hAPP(c_Relation_Oconverse(_u14546, _u14547), _u14549))) )).
% 20.36/20.62 cnf(matrix-6403, plain, ( ( hAPP(c_Relation_Oconverse(_u14550, _u14551), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14550, _u14551), tc_HOL_Obool)), _u14552), _u14553)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14551, _u14550), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u14550, _u14551), _u14552)), hAPP(c_Relation_Oconverse(_u14550, _u14551), _u14553))) )).
% 20.36/20.62 cnf(matrix-6404, plain, ( ( hAPP(c_Relation_Oconverse(_u14554, _u14555), hAPP(hAPP(c_Relation_Orel__comp(_u14554, _u14556, _u14555), _u14557), _u14558)) = hAPP(hAPP(c_Relation_Orel__comp(_u14555, _u14556, _u14554), hAPP(c_Relation_Oconverse(_u14556, _u14555), _u14558)), hAPP(c_Relation_Oconverse(_u14554, _u14556), _u14557))) )).
% 20.36/20.62 cnf(matrix-6405, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14559, _u14560)), hAPP(hAPP(c_Product__Type_OPair(_u14559, _u14560), _u14561), _u14562)), hAPP(c_Relation_Oconverse(_u14560, _u14559), _u14563))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14560, _u14559)), hAPP(hAPP(c_Product__Type_OPair(_u14560, _u14559), _u14562), _u14561)), _u14563)) )).
% 20.36/20.62 cnf(matrix-6406, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14564, _u14565)), hAPP(hAPP(c_Product__Type_OPair(_u14564, _u14565), _u14566), _u14567)), _u14568)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14565, _u14564)), hAPP(hAPP(c_Product__Type_OPair(_u14565, _u14564), _u14567), _u14566)), hAPP(c_Relation_Oconverse(_u14564, _u14565), _u14568))) )).
% 20.36/20.62 cnf(matrix-6407, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14574, _u14576)), hAPP(hAPP(c_Product__Type_OPair(_u14574, _u14576), _u14578), _u14580)), hAPP(c_Relation_Oconverse(_u14576, _u14574), _u14582))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14576, _u14574)), hAPP(hAPP(c_Product__Type_OPair(_u14576, _u14574), _u14580), _u14578)), _u14582)) )).
% 20.36/20.62 cnf(matrix-6408, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14577, _u14575)), hAPP(hAPP(c_Product__Type_OPair(_u14577, _u14575), _u14581), _u14579)), _u14583)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14575, _u14577)), hAPP(hAPP(c_Product__Type_OPair(_u14575, _u14577), _u14579), _u14581)), hAPP(c_Relation_Oconverse(_u14577, _u14575), _u14583))) )).
% 20.36/20.62 cnf(matrix-6409, plain, ( ( hAPP(c_Relation_Oconverse(_u14584, _u14585), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14586, tc_fun(tc_prod(_u14584, _u14585), tc_HOL_Obool)), _u14587), _u14588)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14586, tc_fun(tc_prod(_u14585, _u14584), tc_HOL_Obool)), _u14587), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14584, _u14585), tc_HOL_Obool), tc_fun(tc_prod(_u14585, _u14584), tc_HOL_Obool), _u14586), c_Relation_Oconverse(_u14584, _u14585)), _u14588))) )).
% 20.36/20.62 cnf(matrix-6410, plain, ( ( hAPP(c_Relation_Oconverse(_u14589, _u14590), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14591, tc_fun(tc_prod(_u14589, _u14590), tc_HOL_Obool)), _u14592), _u14593)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14591, tc_fun(tc_prod(_u14590, _u14589), tc_HOL_Obool)), _u14592), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14589, _u14590), tc_HOL_Obool), tc_fun(tc_prod(_u14590, _u14589), tc_HOL_Obool), _u14591), c_Relation_Oconverse(_u14589, _u14590)), _u14593))) )).
% 20.36/20.62 cnf(matrix-6411, plain, ( ( c_Transitive__Closure_Otrancl(_u14594, hAPP(c_Relation_Oconverse(_u14594, _u14594), _u14595)) = hAPP(c_Relation_Oconverse(_u14594, _u14594), c_Transitive__Closure_Otrancl(_u14594, _u14595))) )).
% 20.36/20.62 cnf(matrix-6412, plain, ( ~c_Wellfounded_Owf(_u14596, hAPP(c_Relation_Oconverse(_u14596, _u14596), _u14597)) | c_Wellfounded_Owf(_u14596, hAPP(c_Relation_Oconverse(_u14596, _u14596), c_Transitive__Closure_Otrancl(_u14596, _u14597))) )).
% 20.36/20.62 cnf(matrix-6413, plain, ( ~c_Equiv__Relations_Oequiv(_u14598, _u14599, _u14600) | ( hAPP(hAPP(c_Relation_Orel__comp(_u14598, _u14598, _u14598), hAPP(c_Relation_Oconverse(_u14598, _u14598), _u14600)), _u14600) = _u14600) )).
% 20.36/20.62 cnf(matrix-6414, plain, ( ( hAPP(c_Relation_ORange(_u14601, _u14602), _u14603) = hAPP(c_Relation_ODomain(_u14602, _u14601), hAPP(c_Relation_Oconverse(_u14601, _u14602), _u14603))) )).
% 20.36/20.62 cnf(matrix-6415, plain, ( ( hAPP(c_Relation_ODomain(_u14604, _u14605), hAPP(c_Relation_Oconverse(_u14605, _u14604), _u14606)) = hAPP(c_Relation_ORange(_u14605, _u14604), _u14606)) )).
% 20.36/20.62 cnf(matrix-6416, plain, ( ( hAPP(c_Relation_ORange(_u14607, _u14608), hAPP(c_Relation_Oconverse(_u14608, _u14607), _u14609)) = hAPP(c_Relation_ODomain(_u14608, _u14607), _u14609)) )).
% 20.36/20.62 cnf(matrix-6417, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14610, _u14610)), hAPP(hAPP(c_Product__Type_OPair(_u14610, _u14610), _u14611), _u14612)), c_Transitive__Closure_Ortrancl(_u14610, hAPP(c_Relation_Oconverse(_u14610, _u14610), _u14613)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14610, _u14610)), hAPP(hAPP(c_Product__Type_OPair(_u14610, _u14610), _u14612), _u14611)), c_Transitive__Closure_Ortrancl(_u14610, _u14613))) )).
% 20.36/20.62 cnf(matrix-6418, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14614, _u14614)), hAPP(hAPP(c_Product__Type_OPair(_u14614, _u14614), _u14615), _u14616)), c_Transitive__Closure_Ortrancl(_u14614, _u14617))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14614, _u14614)), hAPP(hAPP(c_Product__Type_OPair(_u14614, _u14614), _u14616), _u14615)), c_Transitive__Closure_Ortrancl(_u14614, hAPP(c_Relation_Oconverse(_u14614, _u14614), _u14617)))) )).
% 20.36/20.62 cnf(matrix-6419, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14618, _u14618)), hAPP(hAPP(c_Product__Type_OPair(_u14618, _u14618), _u14619), _u14620)), c_Transitive__Closure_Otrancl(_u14618, hAPP(c_Relation_Oconverse(_u14618, _u14618), _u14621)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14618, _u14618)), hAPP(hAPP(c_Product__Type_OPair(_u14618, _u14618), _u14619), _u14620)), hAPP(c_Relation_Oconverse(_u14618, _u14618), c_Transitive__Closure_Otrancl(_u14618, _u14621)))) )).
% 20.36/20.62 cnf(matrix-6420, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14622, _u14622)), hAPP(hAPP(c_Product__Type_OPair(_u14622, _u14622), _u14623), _u14624)), hAPP(c_Relation_Oconverse(_u14622, _u14622), c_Transitive__Closure_Otrancl(_u14622, _u14625)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14622, _u14622)), hAPP(hAPP(c_Product__Type_OPair(_u14622, _u14622), _u14623), _u14624)), c_Transitive__Closure_Otrancl(_u14622, hAPP(c_Relation_Oconverse(_u14622, _u14622), _u14625)))) )).
% 20.36/20.62 cnf(matrix-6421, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14631, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14633, _u14631, _u14635), _u14637)), _u14639)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14633, tc_HOL_Obool)), _u14637), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14633, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14631, _u14633, hAPP(c_Relation_Oconverse(_u14633, _u14631), _u14635)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14631, tc_HOL_Obool)), _u14639))))) )).
% 20.36/20.62 cnf(matrix-6422, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14634, tc_HOL_Obool)), _u14638), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14634, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14632, _u14634, hAPP(c_Relation_Oconverse(_u14634, _u14632), _u14636)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14632, tc_HOL_Obool)), _u14640))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14632, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14634, _u14632, _u14636), _u14638)), _u14640)) )).
% 20.36/20.62 cnf(matrix-6423, plain, ( ~c_Relation_Orefl__on(_u14641, _u14642, _u14643) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14641, _u14641), tc_HOL_Obool)), _u14643), hAPP(hAPP(c_Relation_Orel__comp(_u14641, _u14641, _u14641), hAPP(c_Relation_Oconverse(_u14641, _u14641), _u14643)), _u14643))) )).
% 20.36/20.62 cnf(matrix-6424, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14644, _u14644, _u14644), hAPP(c_Relation_Oconverse(_u14644, _u14644), _u14645)), _u14645) != _u14645) | ( hAPP(c_Relation_ODomain(_u14644, _u14644), _u14645) != _u14646) | c_Equiv__Relations_Oequiv(_u14644, _u14646, _u14645) )).
% 20.36/20.62 cnf(matrix-6425, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14647, _u14647)), _u14648)) | ~c_Wellfounded_Oacyclic(_u14647, _u14648) | c_Wellfounded_Owf(_u14647, hAPP(c_Relation_Oconverse(_u14647, _u14647), _u14648)) )).
% 20.36/20.62 cnf(matrix-6426, plain, ( ( hAPP(c_Relation_Oconverse(_u14649, _u14650), _u14651) = hAPP(c_Set_OCollect(tc_prod(_u14650, _u14649)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14650, _u14649, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14650, tc_fun(tc_prod(_u14649, _u14650), tc_HOL_Obool), tc_fun(_u14649, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14649, tc_fun(tc_fun(tc_prod(_u14649, _u14650), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14649, _u14650), tc_HOL_Obool), tc_fun(_u14649, tc_HOL_Obool)), _u14650), c_COMBC(_u14649, tc_fun(tc_prod(_u14649, _u14650), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14649, tc_prod(_u14649, _u14650)), tc_fun(_u14649, tc_fun(tc_fun(tc_prod(_u14649, _u14650), tc_HOL_Obool), tc_HOL_Obool)), _u14650), hAPP(c_COMBB(tc_prod(_u14649, _u14650), tc_fun(tc_fun(tc_prod(_u14649, _u14650), tc_HOL_Obool), tc_HOL_Obool), _u14649), c_member(tc_prod(_u14649, _u14650)))), hAPP(c_COMBC(_u14649, _u14650, tc_prod(_u14649, _u14650)), c_Product__Type_OPair(_u14649, _u14650))))), _u14651)))) )).
% 20.36/20.62 cnf(matrix-6427, plain, ( ~c_Relation_Osingle__valued(_u14652, _u14653, hAPP(c_Relation_Oconverse(_u14653, _u14652), _u14654)) | ( _u14655 = c_Orderings_Obot__class_Obot(tc_fun(_u14656, tc_HOL_Obool))) | ( hAPP(c_Relation_OImage(_u14653, _u14652, _u14654), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14656, tc_fun(_u14653, tc_HOL_Obool)), _u14655), _u14657)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14656, tc_fun(_u14652, tc_HOL_Obool)), _u14655), hAPP(hAPP(c_COMBB(tc_fun(_u14653, tc_HOL_Obool), tc_fun(_u14652, tc_HOL_Obool), _u14656), c_Relation_OImage(_u14653, _u14652, _u14654)), _u14657))) )).
% 20.36/20.62 cnf(matrix-6428, plain, ( ~c_Relation_Ototal__on(_u14661, _u14663, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14661, _u14661), tc_HOL_Obool)), _u14665), c_Relation_OId(_u14661))) | c_Relation_Ototal__on(_u14661, _u14663, _u14665) )).
% 20.36/20.62 cnf(matrix-6429, plain, ( ~c_Relation_Ototal__on(_u14662, _u14664, _u14666) | c_Relation_Ototal__on(_u14662, _u14664, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14662, _u14662), tc_HOL_Obool)), _u14666), c_Relation_OId(_u14662))) )).
% 20.36/20.62 cnf(matrix-6430, plain, ( c_Relation_Osingle__valued(_u14667, _u14667, c_Relation_OId(_u14667)) )).
% 20.36/20.62 cnf(matrix-6431, plain, ( ~c_Relation_Osingle__valued(_u14668, _u14669, _u14670) | ~c_Relation_Osingle__valued(_u14669, _u14671, _u14672) | c_Relation_Osingle__valued(_u14668, _u14671, hAPP(hAPP(c_Relation_Orel__comp(_u14668, _u14669, _u14671), _u14670), _u14672)) )).
% 20.36/20.62 cnf(matrix-6432, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14673, _u14674), tc_HOL_Obool)), _u14675), _u14676)) | ~c_Relation_Osingle__valued(_u14673, _u14674, _u14676) | c_Relation_Osingle__valued(_u14673, _u14674, _u14675) )).
% 20.36/20.62 cnf(matrix-6433, plain, ( c_Relation_Osingle__valued(_u14677, _u14677, c_Relation_OId__on(_u14677, _u14678)) )).
% 20.36/20.62 cnf(matrix-6434, plain, ( c_Relation_Ototal__on(_u14679, c_Orderings_Obot__class_Obot(tc_fun(_u14679, tc_HOL_Obool)), _u14680) )).
% 20.36/20.62 cnf(matrix-6435, plain, ( ~c_Relation_Ototal__on(_u14684, _u14686, hAPP(c_Relation_Oconverse(_u14684, _u14684), _u14688)) | c_Relation_Ototal__on(_u14684, _u14686, _u14688) )).
% 20.36/20.62 cnf(matrix-6436, plain, ( ~c_Relation_Ototal__on(_u14685, _u14687, _u14689) | c_Relation_Ototal__on(_u14685, _u14687, hAPP(c_Relation_Oconverse(_u14685, _u14685), _u14689)) )).
% 20.36/20.62 cnf(matrix-6437, plain, ( ~c_Relation_Osingle__valued(_u14690, _u14691, _u14692) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14690, _u14691)), hAPP(hAPP(c_Product__Type_OPair(_u14690, _u14691), _u14693), _u14694)), _u14692)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14690, _u14691)), hAPP(hAPP(c_Product__Type_OPair(_u14690, _u14691), _u14693), _u14695)), _u14692)) | ( _u14694 = _u14695) )).
% 20.36/20.62 cnf(matrix-6438, plain, ( ~c_Relation_Osingle__valued(_u14705, _u14707, _u14709) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14705, _u14707)), hAPP(hAPP(c_Product__Type_OPair(_u14705, _u14707), _u14698), _u14697)), _u14709)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14705, _u14707)), hAPP(hAPP(c_Product__Type_OPair(_u14705, _u14707), _u14698), _u14696)), _u14709)) | ( _u14697 = _u14696) )).
% 20.36/20.62 cnf(matrix-6439, plain, ( c_Relation_Osingle__valued(_u14706, _u14708, _u14710) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14706, _u14708)), hAPP(hAPP(c_Product__Type_OPair(_u14706, _u14708), skolem365(_u14710, _u14708, _u14706)), skolem366(_u14710, _u14708, _u14706))), _u14710)) )).
% 20.36/20.62 cnf(matrix-6440, plain, ( c_Relation_Osingle__valued(_u14706, _u14708, _u14710) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14706, _u14708)), hAPP(hAPP(c_Product__Type_OPair(_u14706, _u14708), skolem365(_u14710, _u14708, _u14706)), skolem367(_u14710, _u14708, _u14706))), _u14710)) )).
% 20.36/20.62 cnf(matrix-6441, plain, ( c_Relation_Osingle__valued(_u14706, _u14708, _u14710) | ( skolem366(_u14710, _u14708, _u14706) != skolem367(_u14710, _u14708, _u14706)) )).
% 20.36/20.62 cnf(matrix-6442, plain, ( ~c_Relation_Ototal__on(_u14718, _u14720, _u14722) | ~hBOOL(hAPP(hAPP(c_member(_u14718), _u14712), _u14720)) | ~hBOOL(hAPP(hAPP(c_member(_u14718), _u14711), _u14720)) | ( _u14712 = _u14711) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14718, _u14718)), hAPP(hAPP(c_Product__Type_OPair(_u14718, _u14718), _u14712), _u14711)), _u14722)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14718, _u14718)), hAPP(hAPP(c_Product__Type_OPair(_u14718, _u14718), _u14711), _u14712)), _u14722)) )).
% 20.36/20.62 cnf(matrix-6443, plain, ( c_Relation_Ototal__on(_u14719, _u14721, _u14723) | hBOOL(hAPP(hAPP(c_member(_u14719), skolem368(_u14723, _u14721, _u14719)), _u14721)) )).
% 20.36/20.62 cnf(matrix-6444, plain, ( c_Relation_Ototal__on(_u14719, _u14721, _u14723) | hBOOL(hAPP(hAPP(c_member(_u14719), skolem369(_u14723, _u14721, _u14719)), _u14721)) )).
% 20.36/20.62 cnf(matrix-6445, plain, ( c_Relation_Ototal__on(_u14719, _u14721, _u14723) | ( skolem368(_u14723, _u14721, _u14719) != skolem369(_u14723, _u14721, _u14719)) )).
% 20.36/20.62 cnf(matrix-6446, plain, ( c_Relation_Ototal__on(_u14719, _u14721, _u14723) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14719, _u14719)), hAPP(hAPP(c_Product__Type_OPair(_u14719, _u14719), skolem368(_u14723, _u14721, _u14719)), skolem369(_u14723, _u14721, _u14719))), _u14723)) )).
% 20.36/20.62 cnf(matrix-6447, plain, ( c_Relation_Ototal__on(_u14719, _u14721, _u14723) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14719, _u14719)), hAPP(hAPP(c_Product__Type_OPair(_u14719, _u14719), skolem369(_u14723, _u14721, _u14719)), skolem368(_u14723, _u14721, _u14719))), _u14723)) )).
% 20.36/20.62 cnf(matrix-6448, plain, ( ~c_Relation_Osingle__valued(_u14724, _u14724, _u14725) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14724, _u14724)), hAPP(hAPP(c_Product__Type_OPair(_u14724, _u14724), _u14726), _u14727)), c_Transitive__Closure_Ortrancl(_u14724, _u14725))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14724, _u14724)), hAPP(hAPP(c_Product__Type_OPair(_u14724, _u14724), _u14726), _u14728)), c_Transitive__Closure_Ortrancl(_u14724, _u14725))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14724, _u14724)), hAPP(hAPP(c_Product__Type_OPair(_u14724, _u14724), _u14727), _u14728)), c_Transitive__Closure_Ortrancl(_u14724, _u14725))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14724, _u14724)), hAPP(hAPP(c_Product__Type_OPair(_u14724, _u14724), _u14728), _u14727)), c_Transitive__Closure_Ortrancl(_u14724, _u14725))) )).
% 20.36/20.62 cnf(matrix-6449, plain, ( ~c_Relation_Osingle__valued(_u14729, _u14730, hAPP(c_Relation_Oconverse(_u14730, _u14729), _u14731)) | ( hAPP(c_Relation_OImage(_u14730, _u14729, _u14731), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14730, tc_HOL_Obool)), _u14732), _u14733)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14729, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14730, _u14729, _u14731), _u14732)), hAPP(c_Relation_OImage(_u14730, _u14729, _u14731), _u14733))) )).
% 20.36/20.62 cnf(matrix-6450, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14734, _u14734)), _u14735), c_Transitive__Closure_Ortrancl(_u14734, _u14736))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14734, _u14734)), _u14735), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u14734, _u14734), 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(_u14734, _u14734), tc_HOL_Obool), tc_fun(tc_prod(_u14734, _u14734), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u14734, _u14734), tc_HOL_Obool)), _u14736)))) )).
% 20.36/20.62 cnf(matrix-6451, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14738, _u14738)), hAPP(hAPP(c_Product__Type_OPair(_u14738, _u14738), skolem370(_u14739, _u14738)), skolem370(_u14739, _u14738))), c_Transitive__Closure_Otrancl(_u14738, _u14739))) | c_Wellfounded_Oacyclic(_u14738, _u14739) )).
% 20.36/20.62 cnf(matrix-6452, plain, ( ~c_Relation_Osingle__valued(_u14740, _u14740, _u14741) | c_Relation_Osingle__valued(_u14740, _u14740, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14740, _u14740), tc_HOL_Obool), _u14742), _u14741)) )).
% 20.36/20.62 cnf(matrix-6453, plain, ( ( hAPP(_u14743, hAPP(hAPP(hAPP(c_Nat_Ocompow(_u14744, _u14744), _u14745), _u14743), _u14746)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(_u14744, _u14744), _u14745), _u14743), hAPP(_u14743, _u14746))) )).
% 20.36/20.62 cnf(matrix-6454, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14747, _u14747), _u14748), hAPP(hAPP(c_Nat_Ocompow(_u14747, _u14747), _u14749), _u14750)) = hAPP(hAPP(c_Nat_Ocompow(_u14747, _u14747), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u14749), _u14748)), _u14750)) )).
% 20.36/20.62 cnf(matrix-6455, plain, ( ~c_Wellfounded_Owf(_u14751, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14751, _u14751), tc_HOL_Obool), _u14752), _u14753)) | c_Wellfounded_Owf(_u14751, _u14753) )).
% 20.36/20.62 cnf(matrix-6456, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_fun(_u14754, _u14755), tc_fun(_u14754, _u14755)), _u14756), c_Fun_Ocomp(_u14755, _u14755, _u14754, _u14757)) = c_Fun_Ocomp(_u14755, _u14755, _u14754, hAPP(hAPP(c_Nat_Ocompow(_u14755, _u14755), _u14756), _u14757))) )).
% 20.36/20.62 cnf(matrix-6457, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14758, _u14758, _u14758), _u14759), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14758, _u14758), tc_HOL_Obool), _u14760), _u14759)) = hAPP(hAPP(c_Relation_Orel__comp(_u14758, _u14758, _u14758), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14758, _u14758), tc_HOL_Obool), _u14760), _u14759)), _u14759)) )).
% 20.36/20.62 cnf(matrix-6458, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14761, _u14761), tc_HOL_Obool), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u14762) = _u14762) )).
% 20.36/20.62 cnf(matrix-6459, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14768, _u14768)), _u14770), c_Transitive__Closure_Ortrancl(_u14768, _u14772))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14768, _u14768)), _u14770), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14768, _u14768), tc_HOL_Obool), skolem371(_u14772, _u14770, _u14768)), _u14772))) )).
% 20.36/20.62 cnf(matrix-6460, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14769, _u14769)), _u14771), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14769, _u14769), tc_HOL_Obool), _u14764), _u14773))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14769, _u14769)), _u14771), c_Transitive__Closure_Ortrancl(_u14769, _u14773))) )).
% 20.36/20.62 cnf(matrix-6461, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14774, _u14774)), _u14775), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14774, _u14774), tc_HOL_Obool), _u14776), _u14777))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14774, _u14774)), _u14775), c_Transitive__Closure_Ortrancl(_u14774, _u14777))) )).
% 20.36/20.62 cnf(matrix-6462, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14778, _u14778), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14779)), _u14780) = hAPP(hAPP(c_Relation_Orel__comp(_u14778, _u14778, _u14778), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14778, _u14778), tc_HOL_Obool), _u14779), _u14780)), _u14780)) )).
% 20.36/20.62 cnf(matrix-6463, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14781, _u14781), tc_HOL_Obool), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14782), _u14783)), _u14784) = hAPP(hAPP(c_Relation_Orel__comp(_u14781, _u14781, _u14781), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14781, _u14781), tc_HOL_Obool), _u14782), _u14784)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14781, _u14781), tc_HOL_Obool), _u14783), _u14784))) )).
% 20.36/20.62 cnf(matrix-6464, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14785, _u14785), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14786) = c_Relation_OId(_u14785)) )).
% 20.36/20.62 cnf(matrix-6465, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14787, _u14787)), hAPP(hAPP(c_Product__Type_OPair(_u14787, _u14787), _u14788), _u14788)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14787, _u14787), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14789))) )).
% 20.36/20.62 cnf(matrix-6466, plain, ( ( _u14791 = _u14792) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14790, _u14790)), hAPP(hAPP(c_Product__Type_OPair(_u14790, _u14790), _u14791), _u14792)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14790, _u14790), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14793))) )).
% 20.36/20.62 cnf(matrix-6467, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14794, _u14794)), hAPP(hAPP(c_Product__Type_OPair(_u14794, _u14794), _u14795), _u14796)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14794, _u14794), tc_HOL_Obool), _u14797), _u14798))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14794, _u14794)), hAPP(hAPP(c_Product__Type_OPair(_u14794, _u14794), _u14796), _u14799)), _u14798)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14794, _u14794)), hAPP(hAPP(c_Product__Type_OPair(_u14794, _u14794), _u14795), _u14799)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14794, _u14794), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14797)), _u14798))) )).
% 20.36/20.62 cnf(matrix-6468, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14800, _u14800)), hAPP(hAPP(c_Product__Type_OPair(_u14800, _u14800), _u14801), _u14802)), _u14803)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14800, _u14800)), hAPP(hAPP(c_Product__Type_OPair(_u14800, _u14800), _u14802), _u14804)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14800, _u14800), tc_HOL_Obool), _u14805), _u14803))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14800, _u14800)), hAPP(hAPP(c_Product__Type_OPair(_u14800, _u14800), _u14801), _u14804)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14800, _u14800), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14805)), _u14803))) )).
% 20.36/20.62 cnf(matrix-6469, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14806, _u14806), hAPP(c_Nat_OSuc, _u14807)), _u14808) = hAPP(c_Fun_Ocomp(_u14806, _u14806, _u14806, _u14808), hAPP(hAPP(c_Nat_Ocompow(_u14806, _u14806), _u14807), _u14808))) )).
% 20.36/20.62 cnf(matrix-6470, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14809, _u14809), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14810), _u14811)), _u14812) = hAPP(c_Fun_Ocomp(_u14809, _u14809, _u14809, hAPP(hAPP(c_Nat_Ocompow(_u14809, _u14809), _u14810), _u14812)), hAPP(hAPP(c_Nat_Ocompow(_u14809, _u14809), _u14811), _u14812))) )).
% 20.36/20.62 cnf(matrix-6471, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14813, _u14813), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14814) = c_Fun_Oid(_u14813)) )).
% 20.36/20.62 cnf(matrix-6472, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14820, _u14820)), _u14822), c_Transitive__Closure_Otrancl(_u14820, _u14824))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem372(_u14824, _u14822, _u14820))) )).
% 20.36/20.62 cnf(matrix-6473, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14820, _u14820)), _u14822), c_Transitive__Closure_Otrancl(_u14820, _u14824))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14820, _u14820)), _u14822), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14820, _u14820), tc_HOL_Obool), skolem372(_u14824, _u14822, _u14820)), _u14824))) )).
% 20.36/20.62 cnf(matrix-6474, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14816)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14821, _u14821)), _u14823), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14821, _u14821), tc_HOL_Obool), _u14816), _u14825))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14821, _u14821)), _u14823), c_Transitive__Closure_Otrancl(_u14821, _u14825))) )).
% 20.36/20.62 cnf(matrix-6475, plain, ( ( c_Transitive__Closure_Ortrancl(_u14826, _u14827) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u14826, _u14826), 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(_u14826, _u14826), tc_HOL_Obool), tc_fun(tc_prod(_u14826, _u14826), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u14826, _u14826), tc_HOL_Obool)), _u14827))) )).
% 20.36/20.62 cnf(matrix-6476, plain, ( ( c_Nat_Ofunpow(_u14828) = c_Nat_Ocompow(_u14828, _u14828)) )).
% 20.36/20.62 cnf(matrix-6477, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14831, _u14831)), hAPP(hAPP(c_Product__Type_OPair(_u14831, _u14831), _u14832), _u14833)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14831, _u14831), tc_HOL_Obool), _u14834), _u14835))) | ( _u14834 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u14834 = hAPP(c_Nat_OSuc, skolem374(_u14835, _u14834, _u14833, _u14832, _u14831))) )).
% 20.36/20.62 cnf(matrix-6478, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14831, _u14831)), hAPP(hAPP(c_Product__Type_OPair(_u14831, _u14831), _u14832), _u14833)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14831, _u14831), tc_HOL_Obool), _u14834), _u14835))) | ( _u14834 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14831, _u14831)), hAPP(hAPP(c_Product__Type_OPair(_u14831, _u14831), _u14832), skolem373(_u14835, _u14834, _u14833, _u14832, _u14831))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14831, _u14831), tc_HOL_Obool), skolem374(_u14835, _u14834, _u14833, _u14832, _u14831)), _u14835))) )).
% 20.36/20.62 cnf(matrix-6479, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14831, _u14831)), hAPP(hAPP(c_Product__Type_OPair(_u14831, _u14831), _u14832), _u14833)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14831, _u14831), tc_HOL_Obool), _u14834), _u14835))) | ( _u14834 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14831, _u14831)), hAPP(hAPP(c_Product__Type_OPair(_u14831, _u14831), skolem373(_u14835, _u14834, _u14833, _u14832, _u14831)), _u14833)), _u14835)) )).
% 20.36/20.62 cnf(matrix-6480, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14831, _u14831)), hAPP(hAPP(c_Product__Type_OPair(_u14831, _u14831), _u14832), _u14833)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14831, _u14831), tc_HOL_Obool), _u14834), _u14835))) | ( _u14832 = _u14833) | ( _u14834 = hAPP(c_Nat_OSuc, skolem374(_u14835, _u14834, _u14833, _u14832, _u14831))) )).
% 20.36/20.62 cnf(matrix-6481, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14831, _u14831)), hAPP(hAPP(c_Product__Type_OPair(_u14831, _u14831), _u14832), _u14833)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14831, _u14831), tc_HOL_Obool), _u14834), _u14835))) | ( _u14832 = _u14833) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14831, _u14831)), hAPP(hAPP(c_Product__Type_OPair(_u14831, _u14831), _u14832), skolem373(_u14835, _u14834, _u14833, _u14832, _u14831))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14831, _u14831), tc_HOL_Obool), skolem374(_u14835, _u14834, _u14833, _u14832, _u14831)), _u14835))) )).
% 20.36/20.62 cnf(matrix-6482, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14831, _u14831)), hAPP(hAPP(c_Product__Type_OPair(_u14831, _u14831), _u14832), _u14833)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14831, _u14831), tc_HOL_Obool), _u14834), _u14835))) | ( _u14832 = _u14833) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14831, _u14831)), hAPP(hAPP(c_Product__Type_OPair(_u14831, _u14831), skolem373(_u14835, _u14834, _u14833, _u14832, _u14831)), _u14833)), _u14835)) )).
% 20.36/20.62 cnf(matrix-6483, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14838, _u14838)), hAPP(hAPP(c_Product__Type_OPair(_u14838, _u14838), _u14839), _u14840)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14838, _u14838), tc_HOL_Obool), _u14841), _u14842))) | ( _u14841 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u14841 = hAPP(c_Nat_OSuc, skolem376(_u14842, _u14841, _u14840, _u14839, _u14838))) )).
% 20.36/20.62 cnf(matrix-6484, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14838, _u14838)), hAPP(hAPP(c_Product__Type_OPair(_u14838, _u14838), _u14839), _u14840)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14838, _u14838), tc_HOL_Obool), _u14841), _u14842))) | ( _u14841 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14838, _u14838)), hAPP(hAPP(c_Product__Type_OPair(_u14838, _u14838), _u14839), skolem375(_u14842, _u14841, _u14840, _u14839, _u14838))), _u14842)) )).
% 20.36/20.62 cnf(matrix-6485, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14838, _u14838)), hAPP(hAPP(c_Product__Type_OPair(_u14838, _u14838), _u14839), _u14840)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14838, _u14838), tc_HOL_Obool), _u14841), _u14842))) | ( _u14841 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14838, _u14838)), hAPP(hAPP(c_Product__Type_OPair(_u14838, _u14838), skolem375(_u14842, _u14841, _u14840, _u14839, _u14838)), _u14840)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14838, _u14838), tc_HOL_Obool), skolem376(_u14842, _u14841, _u14840, _u14839, _u14838)), _u14842))) )).
% 20.36/20.62 cnf(matrix-6486, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14838, _u14838)), hAPP(hAPP(c_Product__Type_OPair(_u14838, _u14838), _u14839), _u14840)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14838, _u14838), tc_HOL_Obool), _u14841), _u14842))) | ( _u14839 = _u14840) | ( _u14841 = hAPP(c_Nat_OSuc, skolem376(_u14842, _u14841, _u14840, _u14839, _u14838))) )).
% 20.36/20.62 cnf(matrix-6487, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14838, _u14838)), hAPP(hAPP(c_Product__Type_OPair(_u14838, _u14838), _u14839), _u14840)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14838, _u14838), tc_HOL_Obool), _u14841), _u14842))) | ( _u14839 = _u14840) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14838, _u14838)), hAPP(hAPP(c_Product__Type_OPair(_u14838, _u14838), _u14839), skolem375(_u14842, _u14841, _u14840, _u14839, _u14838))), _u14842)) )).
% 20.36/20.62 cnf(matrix-6488, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14838, _u14838)), hAPP(hAPP(c_Product__Type_OPair(_u14838, _u14838), _u14839), _u14840)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14838, _u14838), tc_HOL_Obool), _u14841), _u14842))) | ( _u14839 = _u14840) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14838, _u14838)), hAPP(hAPP(c_Product__Type_OPair(_u14838, _u14838), skolem375(_u14842, _u14841, _u14840, _u14839, _u14838)), _u14840)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14838, _u14838), tc_HOL_Obool), skolem376(_u14842, _u14841, _u14840, _u14839, _u14838)), _u14842))) )).
% 20.36/20.62 cnf(matrix-6489, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14845, _u14845)), hAPP(hAPP(c_Product__Type_OPair(_u14845, _u14845), _u14846), _u14847)), c_Transitive__Closure_Ortrancl(_u14845, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14845, _u14845), tc_HOL_Obool)), _u14848), _u14849)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14845, _u14845)), hAPP(hAPP(c_Product__Type_OPair(_u14845, _u14845), _u14846), _u14847)), c_Transitive__Closure_Ortrancl(_u14845, _u14848))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14845, _u14845)), hAPP(hAPP(c_Product__Type_OPair(_u14845, _u14845), _u14846), skolem377(_u14849, _u14848, _u14847, _u14846, _u14845))), c_Transitive__Closure_Ortrancl(_u14845, _u14848))) )).
% 20.36/20.62 cnf(matrix-6490, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14845, _u14845)), hAPP(hAPP(c_Product__Type_OPair(_u14845, _u14845), _u14846), _u14847)), c_Transitive__Closure_Ortrancl(_u14845, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14845, _u14845), tc_HOL_Obool)), _u14848), _u14849)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14845, _u14845)), hAPP(hAPP(c_Product__Type_OPair(_u14845, _u14845), _u14846), _u14847)), c_Transitive__Closure_Ortrancl(_u14845, _u14848))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14845, _u14845)), hAPP(hAPP(c_Product__Type_OPair(_u14845, _u14845), skolem377(_u14849, _u14848, _u14847, _u14846, _u14845)), skolem378(_u14849, _u14848, _u14847, _u14846, _u14845))), _u14849)) )).
% 20.36/20.62 cnf(matrix-6491, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14845, _u14845)), hAPP(hAPP(c_Product__Type_OPair(_u14845, _u14845), _u14846), _u14847)), c_Transitive__Closure_Ortrancl(_u14845, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14845, _u14845), tc_HOL_Obool)), _u14848), _u14849)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14845, _u14845)), hAPP(hAPP(c_Product__Type_OPair(_u14845, _u14845), _u14846), _u14847)), c_Transitive__Closure_Ortrancl(_u14845, _u14848))) | ( skolem377(_u14849, _u14848, _u14847, _u14846, _u14845) != skolem378(_u14849, _u14848, _u14847, _u14846, _u14845)) )).
% 20.36/20.62 cnf(matrix-6492, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14852, _u14852)), hAPP(hAPP(c_Product__Type_OPair(_u14852, _u14852), _u14853), _u14854)), c_Transitive__Closure_Ortrancl(_u14852, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14852, _u14852), tc_HOL_Obool)), _u14855), _u14856)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14852, _u14852)), hAPP(hAPP(c_Product__Type_OPair(_u14852, _u14852), _u14853), _u14854)), c_Transitive__Closure_Ortrancl(_u14852, _u14855))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14852, _u14852)), hAPP(hAPP(c_Product__Type_OPair(_u14852, _u14852), skolem379(_u14856, _u14855, _u14854, _u14853, _u14852)), _u14854)), c_Transitive__Closure_Ortrancl(_u14852, _u14855))) )).
% 20.36/20.62 cnf(matrix-6493, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14852, _u14852)), hAPP(hAPP(c_Product__Type_OPair(_u14852, _u14852), _u14853), _u14854)), c_Transitive__Closure_Ortrancl(_u14852, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14852, _u14852), tc_HOL_Obool)), _u14855), _u14856)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14852, _u14852)), hAPP(hAPP(c_Product__Type_OPair(_u14852, _u14852), _u14853), _u14854)), c_Transitive__Closure_Ortrancl(_u14852, _u14855))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14852, _u14852)), hAPP(hAPP(c_Product__Type_OPair(_u14852, _u14852), skolem380(_u14856, _u14855, _u14854, _u14853, _u14852)), skolem379(_u14856, _u14855, _u14854, _u14853, _u14852))), _u14856)) )).
% 20.36/20.62 cnf(matrix-6494, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14852, _u14852)), hAPP(hAPP(c_Product__Type_OPair(_u14852, _u14852), _u14853), _u14854)), c_Transitive__Closure_Ortrancl(_u14852, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14852, _u14852), tc_HOL_Obool)), _u14855), _u14856)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14852, _u14852)), hAPP(hAPP(c_Product__Type_OPair(_u14852, _u14852), _u14853), _u14854)), c_Transitive__Closure_Ortrancl(_u14852, _u14855))) | ( skolem380(_u14856, _u14855, _u14854, _u14853, _u14852) != skolem379(_u14856, _u14855, _u14854, _u14853, _u14852)) )).
% 20.36/20.62 cnf(matrix-6495, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14858, _u14858)), hAPP(hAPP(c_Product__Type_OPair(_u14858, _u14858), _u14859), _u14860)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14858, _u14858), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14861)), _u14862))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14858, _u14858)), hAPP(hAPP(c_Product__Type_OPair(_u14858, _u14858), _u14859), skolem381(_u14862, _u14861, _u14860, _u14859, _u14858))), _u14862)) )).
% 20.36/20.62 cnf(matrix-6496, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14858, _u14858)), hAPP(hAPP(c_Product__Type_OPair(_u14858, _u14858), _u14859), _u14860)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14858, _u14858), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14861)), _u14862))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14858, _u14858)), hAPP(hAPP(c_Product__Type_OPair(_u14858, _u14858), skolem381(_u14862, _u14861, _u14860, _u14859, _u14858)), _u14860)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14858, _u14858), tc_HOL_Obool), _u14861), _u14862))) )).
% 20.36/20.62 cnf(matrix-6497, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14864, _u14864)), hAPP(hAPP(c_Product__Type_OPair(_u14864, _u14864), _u14865), _u14866)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14864, _u14864), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14867)), _u14868))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14864, _u14864)), hAPP(hAPP(c_Product__Type_OPair(_u14864, _u14864), _u14865), skolem382(_u14868, _u14867, _u14866, _u14865, _u14864))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14864, _u14864), tc_HOL_Obool), _u14867), _u14868))) )).
% 20.36/20.62 cnf(matrix-6498, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14864, _u14864)), hAPP(hAPP(c_Product__Type_OPair(_u14864, _u14864), _u14865), _u14866)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14864, _u14864), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14867)), _u14868))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14864, _u14864)), hAPP(hAPP(c_Product__Type_OPair(_u14864, _u14864), skolem382(_u14868, _u14867, _u14866, _u14865, _u14864)), _u14866)), _u14868)) )).
% 20.36/20.62 cnf(matrix-6499, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14870, _u14870)), hAPP(hAPP(c_Product__Type_OPair(_u14870, _u14870), _u14871), _u14872)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14870, _u14870), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14873)), _u14874))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14870, _u14870)), hAPP(hAPP(c_Product__Type_OPair(_u14870, _u14870), _u14871), skolem383(_u14874, _u14873, _u14872, _u14871, _u14870))), _u14874)) )).
% 20.36/20.62 cnf(matrix-6500, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14870, _u14870)), hAPP(hAPP(c_Product__Type_OPair(_u14870, _u14870), _u14871), _u14872)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14870, _u14870), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14873)), _u14874))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14870, _u14870)), hAPP(hAPP(c_Product__Type_OPair(_u14870, _u14870), skolem383(_u14874, _u14873, _u14872, _u14871, _u14870)), _u14872)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14870, _u14870), tc_HOL_Obool), _u14873), _u14874))) )).
% 20.36/20.62 cnf(matrix-6501, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14876, _u14876)), hAPP(hAPP(c_Product__Type_OPair(_u14876, _u14876), _u14877), _u14878)), c_Transitive__Closure_Otrancl(_u14876, _u14879))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14876, _u14876)), hAPP(hAPP(c_Product__Type_OPair(_u14876, _u14876), _u14877), skolem384(_u14879, _u14878, _u14877, _u14876))), _u14879)) )).
% 20.36/20.62 cnf(matrix-6502, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14876, _u14876)), hAPP(hAPP(c_Product__Type_OPair(_u14876, _u14876), _u14877), _u14878)), c_Transitive__Closure_Otrancl(_u14876, _u14879))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14876, _u14876)), hAPP(hAPP(c_Product__Type_OPair(_u14876, _u14876), skolem384(_u14879, _u14878, _u14877, _u14876)), _u14878)), c_Transitive__Closure_Ortrancl(_u14876, _u14879))) )).
% 20.36/20.62 cnf(matrix-6503, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14881, _u14881)), hAPP(hAPP(c_Product__Type_OPair(_u14881, _u14881), _u14882), _u14883)), c_Transitive__Closure_Otrancl(_u14881, _u14884))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14881, _u14881)), hAPP(hAPP(c_Product__Type_OPair(_u14881, _u14881), _u14882), skolem385(_u14884, _u14883, _u14882, _u14881))), c_Transitive__Closure_Ortrancl(_u14881, _u14884))) )).
% 20.36/20.62 cnf(matrix-6504, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14881, _u14881)), hAPP(hAPP(c_Product__Type_OPair(_u14881, _u14881), _u14882), _u14883)), c_Transitive__Closure_Otrancl(_u14881, _u14884))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14881, _u14881)), hAPP(hAPP(c_Product__Type_OPair(_u14881, _u14881), skolem385(_u14884, _u14883, _u14882, _u14881)), _u14883)), _u14884)) )).
% 20.36/20.62 cnf(matrix-6505, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14886, _u14886)), _u14887), c_Relation_OId(_u14886))) | ( _u14887 = hAPP(hAPP(c_Product__Type_OPair(_u14886, _u14886), skolem386(_u14887, _u14886)), skolem386(_u14887, _u14886))) )).
% 20.36/20.62 cnf(matrix-6506, plain, ( ~c_Wellfounded_Owf(_u14898, _u14900) | ~hBOOL(hAPP(hAPP(c_member(_u14898), _u14888), _u14891)) | hBOOL(hAPP(hAPP(c_member(_u14898), skolem387(_u14900, _u14898, _u14891)), _u14891)) )).
% 20.36/20.62 cnf(matrix-6507, plain, ( ~c_Wellfounded_Owf(_u14898, _u14900) | ~hBOOL(hAPP(hAPP(c_member(_u14898), _u14888), _u14891)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14898, _u14898)), hAPP(hAPP(c_Product__Type_OPair(_u14898, _u14898), _u14889), skolem387(_u14900, _u14898, _u14891))), _u14900)) | ~hBOOL(hAPP(hAPP(c_member(_u14898), _u14889), _u14891)) )).
% 20.36/20.62 cnf(matrix-6508, plain, ( c_Wellfounded_Owf(_u14899, _u14901) | hBOOL(hAPP(hAPP(c_member(_u14899), skolem389(_u14901, _u14899)), skolem388(_u14901, _u14899))) )).
% 20.36/20.62 cnf(matrix-6509, plain, ( c_Wellfounded_Owf(_u14899, _u14901) | ~hBOOL(hAPP(hAPP(c_member(_u14899), _u14894), skolem388(_u14901, _u14899))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14899, _u14899)), hAPP(hAPP(c_Product__Type_OPair(_u14899, _u14899), skolem390(_u14901, _u14899, _u14894)), _u14894)), _u14901)) )).
% 20.36/20.62 cnf(matrix-6510, plain, ( c_Wellfounded_Owf(_u14899, _u14901) | ~hBOOL(hAPP(hAPP(c_member(_u14899), _u14894), skolem388(_u14901, _u14899))) | hBOOL(hAPP(hAPP(c_member(_u14899), skolem390(_u14901, _u14899, _u14894)), skolem388(_u14901, _u14899))) )).
% 20.36/20.62 cnf(matrix-6511, 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)))), _u14903)) = 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)))), _u14904))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem391(_u14904, _u14903))) )).
% 20.36/20.62 cnf(matrix-6512, 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)))), _u14903)) = 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)))), _u14904))) | hBOOL(hAPP(_u14903, skolem391(_u14904, _u14903))) | hBOOL(hAPP(_u14904, skolem391(_u14904, _u14903))) )).
% 20.36/20.62 cnf(matrix-6513, 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)))), _u14903)) = 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)))), _u14904))) | ~hBOOL(hAPP(_u14904, skolem391(_u14904, _u14903))) | ~hBOOL(hAPP(_u14903, skolem391(_u14904, _u14903))) )).
% 20.36/20.62 cnf(matrix-6514, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14906, tc_HOL_Obool)), _u14907), _u14908)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14906, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14906, tc_HOL_Obool)), _u14907), hAPP(c_Set_OCollect(_u14906), _u14909))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14906, tc_HOL_Obool)), _u14908), hAPP(c_Set_OCollect(_u14906), _u14910)))) | hBOOL(hAPP(hAPP(c_member(_u14906), skolem392(_u14910, _u14909, _u14908, _u14907, _u14906)), _u14907)) )).
% 20.36/20.62 cnf(matrix-6515, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14906, tc_HOL_Obool)), _u14907), _u14908)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14906, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14906, tc_HOL_Obool)), _u14907), hAPP(c_Set_OCollect(_u14906), _u14909))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14906, tc_HOL_Obool)), _u14908), hAPP(c_Set_OCollect(_u14906), _u14910)))) | hBOOL(hAPP(_u14909, skolem392(_u14910, _u14909, _u14908, _u14907, _u14906))) )).
% 20.36/20.62 cnf(matrix-6516, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14906, tc_HOL_Obool)), _u14907), _u14908)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14906, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14906, tc_HOL_Obool)), _u14907), hAPP(c_Set_OCollect(_u14906), _u14909))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14906, tc_HOL_Obool)), _u14908), hAPP(c_Set_OCollect(_u14906), _u14910)))) | ~hBOOL(hAPP(_u14910, skolem392(_u14910, _u14909, _u14908, _u14907, _u14906))) )).
% 20.36/20.62 cnf(matrix-6517, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14914, _u14915)), _u14916), hAPP(hAPP(c_Relation_Orel__comp(_u14914, _u14917, _u14915), _u14918), _u14919))) | ( _u14916 = hAPP(hAPP(c_Product__Type_OPair(_u14914, _u14915), skolem393(_u14919, _u14918, _u14917, _u14916, _u14915, _u14914)), skolem395(_u14919, _u14918, _u14917, _u14916, _u14915, _u14914))) )).
% 20.36/20.62 cnf(matrix-6518, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14914, _u14915)), _u14916), hAPP(hAPP(c_Relation_Orel__comp(_u14914, _u14917, _u14915), _u14918), _u14919))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14914, _u14917)), hAPP(hAPP(c_Product__Type_OPair(_u14914, _u14917), skolem393(_u14919, _u14918, _u14917, _u14916, _u14915, _u14914)), skolem394(_u14919, _u14918, _u14917, _u14916, _u14915, _u14914))), _u14918)) )).
% 20.36/20.62 cnf(matrix-6519, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14914, _u14915)), _u14916), hAPP(hAPP(c_Relation_Orel__comp(_u14914, _u14917, _u14915), _u14918), _u14919))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14917, _u14915)), hAPP(hAPP(c_Product__Type_OPair(_u14917, _u14915), skolem394(_u14919, _u14918, _u14917, _u14916, _u14915, _u14914)), skolem395(_u14919, _u14918, _u14917, _u14916, _u14915, _u14914))), _u14919)) )).
% 20.36/20.62 cnf(matrix-6520, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14922, _u14923)), _u14924), hAPP(c_Relation_Oconverse(_u14923, _u14922), _u14925))) | ( _u14924 = hAPP(hAPP(c_Product__Type_OPair(_u14922, _u14923), skolem397(_u14925, _u14924, _u14923, _u14922)), skolem396(_u14925, _u14924, _u14923, _u14922))) )).
% 20.36/20.62 cnf(matrix-6521, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14922, _u14923)), _u14924), hAPP(c_Relation_Oconverse(_u14923, _u14922), _u14925))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14923, _u14922)), hAPP(hAPP(c_Product__Type_OPair(_u14923, _u14922), skolem396(_u14925, _u14924, _u14923, _u14922)), skolem397(_u14925, _u14924, _u14923, _u14922))), _u14925)) )).
% 20.36/20.62 cnf(matrix-6522, plain, ( ( c_Nitpick_Oplus__frac(_u14926, _u14927, _u14928) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u14926), c_Nitpick_Oint__lcm(hAPP(c_Nitpick_Odenom(_u14926), _u14927), hAPP(c_Nitpick_Odenom(_u14926), _u14928))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Int_Oint, _u14926), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, _u14926), tc_Int_Oint), c_Nitpick_Ofrac(_u14926)), 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(_u14926), _u14927))), 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(_u14926), _u14927))))), 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(_u14926), _u14928))), 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(_u14926), _u14928)))))), c_COMBI(tc_Int_Oint)))) )).
% 20.36/20.62 cnf(matrix-6523, plain, ( ( c_Product__Type_Ointernal__split(_u14929, _u14930, _u14931) = c_Product__Type_Oprod_Oprod__case(_u14929, _u14930, _u14931)) )).
% 20.36/20.62 cnf(matrix-6524, plain, ( ( hAPP(hAPP(c_Product__Type_Ointernal__split(_u14932, _u14933, _u14934), _u14935), hAPP(hAPP(c_Product__Type_OPair(_u14932, _u14933), _u14936), _u14937)) = hAPP(hAPP(_u14935, _u14936), _u14937)) )).
% 20.36/20.62 cnf(matrix-6525, plain, ( ( c_Nitpick_Otimes__frac(_u14938, _u14939, _u14940) = hAPP(hAPP(c_Nitpick_Ofrac(_u14938), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u14938), _u14939)), hAPP(c_Nitpick_Onum(_u14938), _u14940))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Odenom(_u14938), _u14939)), hAPP(c_Nitpick_Odenom(_u14938), _u14940)))) )).
% 20.36/20.62 cnf(matrix-6526, plain, ( ~class_Rings_Oinverse(_u14941) | ~class_Rings_Oring__1(_u14941) | ( c_Nitpick_Oof__frac(_u14942, _u14941, _u14943) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u14941), hAPP(c_Int_Oring__1__class_Oof__int(_u14941), hAPP(c_Nitpick_Onum(_u14942), _u14943))), hAPP(c_Int_Oring__1__class_Oof__int(_u14941), hAPP(c_Nitpick_Odenom(_u14942), _u14943)))) )).
% 20.36/20.62 cnf(matrix-6527, plain, ( ( c_Nitpick_Oinverse__frac(_u14944, _u14945) = hAPP(hAPP(c_Nitpick_Ofrac(_u14944), hAPP(c_Nitpick_Odenom(_u14944), _u14945)), hAPP(c_Nitpick_Onum(_u14944), _u14945))) )).
% 20.36/20.62 cnf(matrix-6528, plain, ( ( c_Nitpick_Ouminus__frac(_u14946, _u14947) = c_Nitpick_OAbs__Frac(_u14946, 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(_u14946), _u14947))), hAPP(c_Nitpick_Odenom(_u14946), _u14947)))) )).
% 20.36/20.62 cnf(matrix-6529, plain, ( ~c_Nitpick_Oless__frac(_u14951, _u14953, _u14955) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u14951), c_Nitpick_Oplus__frac(_u14951, _u14953, c_Nitpick_Ouminus__frac(_u14951, _u14955)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.62 cnf(matrix-6530, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u14952), c_Nitpick_Oplus__frac(_u14952, _u14954, c_Nitpick_Ouminus__frac(_u14952, _u14956)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__frac(_u14952, _u14954, _u14956) )).
% 20.36/20.62 cnf(matrix-6531, plain, ( ~c_Nitpick_Oless__eq__frac(_u14960, _u14962, _u14964) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u14960), c_Nitpick_Oplus__frac(_u14960, _u14962, c_Nitpick_Ouminus__frac(_u14960, _u14964)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 20.36/20.62 cnf(matrix-6532, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u14961), c_Nitpick_Oplus__frac(_u14961, _u14963, c_Nitpick_Ouminus__frac(_u14961, _u14965)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__eq__frac(_u14961, _u14963, _u14965) )).
% 20.36/20.62 cnf(matrix-6533, plain, ( ( c_Nitpick_Odenom(_u14966) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u14966, c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u14966))) )).
% 20.36/20.62 cnf(matrix-6534, plain, ( ( c_Nitpick_Onum(_u14967) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u14967, c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u14967))) )).
% 20.36/20.62 cnf(matrix-6535, plain, ( ( c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.62 cnf(matrix-6536, plain, ( ( c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.62 cnf(matrix-6537, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem398(_u14970, _u14969)), hAPP(_u14969, skolem398(_u14970, _u14969)))) | 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)), _u14969)), _u14970)))) )).
% 20.36/20.62 cnf(matrix-6538, plain, ( ( c_List_Olenlex(_u14971, _u14972) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, tc_List_Olist(_u14971)), tc_List_Olist(_u14971)), c_Wellfounded_Olex__prod(tc_Nat_Onat, tc_List_Olist(_u14971), c_Wellfounded_Oless__than, c_List_Olex(_u14971, _u14972))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u14971), tc_List_Olist(_u14971), tc_prod(tc_Nat_Onat, tc_List_Olist(_u14971))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_List_Olist(_u14971), tc_prod(tc_Nat_Onat, tc_List_Olist(_u14971))), tc_List_Olist(_u14971)), c_Product__Type_OPair(tc_Nat_Onat, tc_List_Olist(_u14971))), c_Nat_Osize__class_Osize(tc_List_Olist(_u14971)))), c_COMBI(tc_List_Olist(_u14971))))) )).
% 20.36/20.62 cnf(matrix-6539, plain, ( ( _u14974 != _u14975) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14973)), _u14974) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14973)), _u14975)) )).
% 20.36/20.62 cnf(matrix-6540, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14976), tc_List_Olist(_u14976))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14976), tc_List_Olist(_u14976)), _u14977), _u14978)), hAPP(c_List_Olexn(_u14976, _u14979), _u14980))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14976)), _u14977) = _u14980) )).
% 20.36/20.62 cnf(matrix-6541, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14976), tc_List_Olist(_u14976))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14976), tc_List_Olist(_u14976)), _u14977), _u14978)), hAPP(c_List_Olexn(_u14976, _u14979), _u14980))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14976)), _u14978) = _u14980) )).
% 20.36/20.62 cnf(matrix-6542, plain, ( ( c_List_Olenlex(_u14981, _u14982) = hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u14981), tc_List_Olist(_u14981))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u14981), tc_List_Olist(_u14981), tc_HOL_Obool), hAPP(hAPP(c_COMBS(tc_List_Olist(_u14981), tc_fun(tc_List_Olist(_u14981), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14981), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14981), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u14981), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14981), tc_HOL_Obool)), tc_List_Olist(_u14981)), c_COMBS(tc_List_Olist(_u14981), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14981), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14981), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u14981)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14981)), c_fdisj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14981), tc_fun(tc_List_Olist(_u14981), tc_Nat_Onat), tc_fun(tc_List_Olist(_u14981), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14981), tc_Nat_Onat), tc_fun(tc_List_Olist(_u14981), tc_HOL_Obool)), tc_List_Olist(_u14981)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u14981))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14981)), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u14981))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u14981)))))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u14981), tc_fun(tc_List_Olist(_u14981), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14981), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14981), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u14981), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14981), tc_HOL_Obool)), tc_List_Olist(_u14981)), c_COMBS(tc_List_Olist(_u14981), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14981), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14981), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u14981)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14981)), c_fconj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14981), tc_fun(tc_List_Olist(_u14981), tc_Nat_Onat), tc_fun(tc_List_Olist(_u14981), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14981), tc_Nat_Onat), tc_fun(tc_List_Olist(_u14981), tc_HOL_Obool)), tc_List_Olist(_u14981)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u14981))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14981)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u14981))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u14981)))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14981), tc_fun(tc_prod(tc_List_Olist(_u14981), tc_List_Olist(_u14981)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14981), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14981), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u14981), tc_List_Olist(_u14981)), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u14981), tc_List_Olist(_u14981)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14981), tc_HOL_Obool)), tc_List_Olist(_u14981)), c_COMBC(tc_List_Olist(_u14981), tc_fun(tc_prod(tc_List_Olist(_u14981), tc_List_Olist(_u14981)), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14981), tc_prod(tc_List_Olist(_u14981), tc_List_Olist(_u14981))), tc_fun(tc_List_Olist(_u14981), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u14981), tc_List_Olist(_u14981)), tc_HOL_Obool), tc_HOL_Obool)), tc_List_Olist(_u14981)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u14981), tc_List_Olist(_u14981)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u14981), tc_List_Olist(_u14981)), tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u14981)), c_member(tc_prod(tc_List_Olist(_u14981), tc_List_Olist(_u14981))))), c_Product__Type_OPair(tc_List_Olist(_u14981), tc_List_Olist(_u14981))))), c_List_Olex(_u14981, _u14982))))))) )).
% 20.36/20.62 cnf(matrix-6543, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14983)), c_List_Osublist(_u14983, _u14984, _u14985)) = 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(_u14983)), _u14984)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u14985))))) )).
% 20.36/20.62 cnf(matrix-6544, plain, ( ( hAPP(c_List_Olexn(_u14986, _u14987), hAPP(c_Nat_OSuc, _u14988)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(tc_List_Olist(_u14986), tc_List_Olist(_u14986)), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_prod(tc_prod(_u14986, tc_List_Olist(_u14986)), tc_prod(_u14986, tc_List_Olist(_u14986))), tc_prod(tc_List_Olist(_u14986), tc_List_Olist(_u14986)), c_Product__Type_Omap__pair(tc_prod(_u14986, tc_List_Olist(_u14986)), tc_List_Olist(_u14986), tc_prod(_u14986, tc_List_Olist(_u14986)), tc_List_Olist(_u14986), hAPP(c_Product__Type_Oprod_Oprod__case(_u14986, tc_List_Olist(_u14986), tc_List_Olist(_u14986)), c_List_Olist_OCons(_u14986)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14986, tc_List_Olist(_u14986), tc_List_Olist(_u14986)), c_List_Olist_OCons(_u14986)))), c_Wellfounded_Olex__prod(_u14986, tc_List_Olist(_u14986), _u14987, hAPP(c_List_Olexn(_u14986, _u14987), _u14988)))), hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u14986), tc_List_Olist(_u14986))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u14986), tc_List_Olist(_u14986), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14986), tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14986), tc_HOL_Obool)), tc_List_Olist(_u14986)), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u14986))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14986)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14986), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14986)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u14986)))), hAPP(c_Nat_OSuc, _u14988))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14986), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14986)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u14986)))), hAPP(c_Nat_OSuc, _u14988))))))) )).
% 20.36/20.62 cnf(matrix-6545, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14989)), _u14990)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14989)), _u14991))) | ( _u14990 != hAPP(hAPP(c_List_Olist_OCons(_u14989), _u14992), _u14991)) )).
% 20.36/20.62 cnf(matrix-6546, plain, ( ( _u14993 != hAPP(hAPP(c_List_Olist_OCons(_u14994), _u14995), _u14993)) )).
% 20.36/20.62 cnf(matrix-6547, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u14996), _u14997), _u14998) != _u14998) )).
% 20.36/20.62 cnf(matrix-6548, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15004), _u15006), _u15008) != hAPP(hAPP(c_List_Olist_OCons(_u15004), _u15010), _u15012)) | ( _u15006 = _u15010) )).
% 20.36/20.62 cnf(matrix-6549, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15004), _u15006), _u15008) != hAPP(hAPP(c_List_Olist_OCons(_u15004), _u15010), _u15012)) | ( _u15008 = _u15012) )).
% 20.36/20.62 cnf(matrix-6550, plain, ( ( _u15007 != _u15011) | ( _u15009 != _u15013) | ( hAPP(hAPP(c_List_Olist_OCons(_u15005), _u15007), _u15009) = hAPP(hAPP(c_List_Olist_OCons(_u15005), _u15011), _u15013)) )).
% 20.36/20.62 cnf(matrix-6551, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15014)), hAPP(hAPP(c_List_Olist_OCons(_u15014), _u15015), _u15016)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15014)), _u15016)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 20.36/20.62 cnf(matrix-6552, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15023), tc_List_Olist(_u15023))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15023), tc_List_Olist(_u15023)), hAPP(hAPP(c_List_Olist_OCons(_u15023), _u15025), _u15027)), hAPP(hAPP(c_List_Olist_OCons(_u15023), _u15029), _u15031))), c_List_Olex(_u15023, _u15033))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15023, _u15023)), hAPP(hAPP(c_Product__Type_OPair(_u15023, _u15023), _u15025), _u15029)), _u15033)) | ( _u15025 = _u15029) )).
% 20.36/20.62 cnf(matrix-6553, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15023), tc_List_Olist(_u15023))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15023), tc_List_Olist(_u15023)), hAPP(hAPP(c_List_Olist_OCons(_u15023), _u15025), _u15027)), hAPP(hAPP(c_List_Olist_OCons(_u15023), _u15029), _u15031))), c_List_Olex(_u15023, _u15033))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15023, _u15023)), hAPP(hAPP(c_Product__Type_OPair(_u15023, _u15023), _u15025), _u15029)), _u15033)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15023), tc_List_Olist(_u15023))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15023), tc_List_Olist(_u15023)), _u15027), _u15031)), c_List_Olex(_u15023, _u15033))) )).
% 20.36/20.62 cnf(matrix-6554, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15023), tc_List_Olist(_u15023))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15023), tc_List_Olist(_u15023)), hAPP(hAPP(c_List_Olist_OCons(_u15023), _u15025), _u15027)), hAPP(hAPP(c_List_Olist_OCons(_u15023), _u15029), _u15031))), c_List_Olex(_u15023, _u15033))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15023)), _u15027) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15023)), _u15031)) | ( _u15025 = _u15029) )).
% 20.36/20.62 cnf(matrix-6555, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15023), tc_List_Olist(_u15023))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15023), tc_List_Olist(_u15023)), hAPP(hAPP(c_List_Olist_OCons(_u15023), _u15025), _u15027)), hAPP(hAPP(c_List_Olist_OCons(_u15023), _u15029), _u15031))), c_List_Olex(_u15023, _u15033))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15023)), _u15027) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15023)), _u15031)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15023), tc_List_Olist(_u15023))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15023), tc_List_Olist(_u15023)), _u15027), _u15031)), c_List_Olex(_u15023, _u15033))) )).
% 20.36/20.62 cnf(matrix-6556, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15024), tc_List_Olist(_u15024))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15024), tc_List_Olist(_u15024)), hAPP(hAPP(c_List_Olist_OCons(_u15024), _u15026), _u15028)), hAPP(hAPP(c_List_Olist_OCons(_u15024), _u15030), _u15032))), c_List_Olex(_u15024, _u15034))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15024, _u15024)), hAPP(hAPP(c_Product__Type_OPair(_u15024, _u15024), _u15026), _u15030)), _u15034)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15024)), _u15028) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15024)), _u15032)) )).
% 20.36/20.62 cnf(matrix-6557, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15024), tc_List_Olist(_u15024))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15024), tc_List_Olist(_u15024)), hAPP(hAPP(c_List_Olist_OCons(_u15024), _u15026), _u15028)), hAPP(hAPP(c_List_Olist_OCons(_u15024), _u15030), _u15032))), c_List_Olex(_u15024, _u15034))) | ( _u15026 != _u15030) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15024), tc_List_Olist(_u15024))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15024), tc_List_Olist(_u15024)), _u15028), _u15032)), c_List_Olex(_u15024, _u15034))) )).
% 20.36/20.62 cnf(matrix-6558, plain, ( ( c_List_Oset__Cons(_u15035, _u15036, _u15037) = hAPP(c_Set_OCollect(tc_List_Olist(_u15035)), hAPP(hAPP(c_COMBB(tc_fun(_u15035, tc_HOL_Obool), tc_HOL_Obool, tc_List_Olist(_u15035)), c_HOL_OEx(_u15035)), hAPP(hAPP(c_COMBB(tc_fun(_u15035, tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool)), tc_fun(_u15035, tc_HOL_Obool), tc_List_Olist(_u15035)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool), tc_HOL_Obool, _u15035), c_HOL_OEx(tc_List_Olist(_u15035)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15035), tc_fun(_u15035, tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool)), tc_fun(_u15035, tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u15035, tc_fun(tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool))), tc_fun(tc_fun(_u15035, tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool)), tc_fun(_u15035, tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool))), tc_List_Olist(_u15035)), c_COMBS(_u15035, tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u15035, tc_fun(tc_List_Olist(_u15035), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u15035, tc_fun(tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool))), tc_List_Olist(_u15035)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15035), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool)), _u15035), c_COMBS(tc_List_Olist(_u15035), tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u15035, tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool)), tc_fun(_u15035, tc_fun(tc_List_Olist(_u15035), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_List_Olist(_u15035)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15035), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u15035), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15035)), c_fconj))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15035), tc_fun(_u15035, tc_fun(tc_List_Olist(_u15035), tc_List_Olist(_u15035))), tc_fun(_u15035, tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(_u15035), tc_List_Olist(_u15035)), tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool)), tc_fun(tc_fun(_u15035, tc_fun(tc_List_Olist(_u15035), tc_List_Olist(_u15035))), tc_fun(_u15035, tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool))), tc_List_Olist(_u15035)), c_COMBB(tc_fun(tc_List_Olist(_u15035), tc_List_Olist(_u15035)), tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool), _u15035)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u15035), tc_List_Olist(_u15035)), tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool)), tc_List_Olist(_u15035)), c_COMBB(tc_List_Olist(_u15035), tc_HOL_Obool, tc_List_Olist(_u15035))), c_fequal))), c_List_Olist_OCons(_u15035)))))), hAPP(hAPP(c_COMBC(_u15035, tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool)), _u15035), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u15035))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15035), c_fconj), hAPP(hAPP(c_COMBC(_u15035, tc_fun(_u15035, tc_HOL_Obool), tc_HOL_Obool), c_member(_u15035)), _u15036)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15035), tc_fun(tc_List_Olist(_u15035), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u15035))), _u15037))))))) )).
% 20.36/20.62 cnf(matrix-6559, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u15042), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u15044), _u15046))) | ( hAPP(c_Random_Opick(_u15044, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u15044)), _u15046), _u15048)), _u15042) = hAPP(c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u15044), _u15046)) )).
% 20.36/20.62 cnf(matrix-6560, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u15043), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u15045), _u15047))) | ( hAPP(c_Random_Opick(_u15045, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u15045)), _u15047), _u15049)), _u15043) = hAPP(c_Random_Opick(_u15045, _u15049), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u15043), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u15045), _u15047)))) )).
% 20.36/20.62 cnf(matrix-6561, plain, ( ( c_Random_Oselect__weight(_u15050, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u15050)), hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u15050), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), _u15051)), _u15052)) = c_Random_Oselect__weight(_u15050, _u15052)) )).
% 20.36/20.62 cnf(matrix-6562, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15059), tc_List_Olist(_u15059))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15059), tc_List_Olist(_u15059)), hAPP(hAPP(c_List_Olist_OCons(_u15059), _u15061), _u15063)), hAPP(hAPP(c_List_Olist_OCons(_u15059), _u15065), _u15067))), c_List_Olexord(_u15059, _u15069))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15059, _u15059)), hAPP(hAPP(c_Product__Type_OPair(_u15059, _u15059), _u15061), _u15065)), _u15069)) | ( _u15061 = _u15065) )).
% 20.36/20.62 cnf(matrix-6563, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15059), tc_List_Olist(_u15059))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15059), tc_List_Olist(_u15059)), hAPP(hAPP(c_List_Olist_OCons(_u15059), _u15061), _u15063)), hAPP(hAPP(c_List_Olist_OCons(_u15059), _u15065), _u15067))), c_List_Olexord(_u15059, _u15069))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15059, _u15059)), hAPP(hAPP(c_Product__Type_OPair(_u15059, _u15059), _u15061), _u15065)), _u15069)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15059), tc_List_Olist(_u15059))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15059), tc_List_Olist(_u15059)), _u15063), _u15067)), c_List_Olexord(_u15059, _u15069))) )).
% 20.36/20.62 cnf(matrix-6564, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15060), tc_List_Olist(_u15060))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15060), tc_List_Olist(_u15060)), hAPP(hAPP(c_List_Olist_OCons(_u15060), _u15062), _u15064)), hAPP(hAPP(c_List_Olist_OCons(_u15060), _u15066), _u15068))), c_List_Olexord(_u15060, _u15070))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15060, _u15060)), hAPP(hAPP(c_Product__Type_OPair(_u15060, _u15060), _u15062), _u15066)), _u15070)) )).
% 20.36/20.62 cnf(matrix-6565, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15060), tc_List_Olist(_u15060))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15060), tc_List_Olist(_u15060)), hAPP(hAPP(c_List_Olist_OCons(_u15060), _u15062), _u15064)), hAPP(hAPP(c_List_Olist_OCons(_u15060), _u15066), _u15068))), c_List_Olexord(_u15060, _u15070))) | ( _u15062 != _u15066) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15060), tc_List_Olist(_u15060))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15060), tc_List_Olist(_u15060)), _u15064), _u15068)), c_List_Olexord(_u15060, _u15070))) )).
% 20.36/20.62 cnf(matrix-6566, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15075), tc_List_Olist(_u15075))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15075), tc_List_Olist(_u15075)), _u15077), _u15079)), c_List_Olex(_u15075, _u15081))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15075), tc_List_Olist(_u15075))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15075), tc_List_Olist(_u15075)), _u15077), _u15079)), c_List_Olexord(_u15075, _u15081))) )).
% 20.36/20.62 cnf(matrix-6567, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15075), tc_List_Olist(_u15075))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15075), tc_List_Olist(_u15075)), _u15077), _u15079)), c_List_Olex(_u15075, _u15081))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15075)), _u15077) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15075)), _u15079)) )).
% 20.36/20.62 cnf(matrix-6568, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15076), tc_List_Olist(_u15076))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15076), tc_List_Olist(_u15076)), _u15078), _u15080)), c_List_Olexord(_u15076, _u15082))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15076)), _u15078) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15076)), _u15080)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15076), tc_List_Olist(_u15076))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15076), tc_List_Olist(_u15076)), _u15078), _u15080)), c_List_Olex(_u15076, _u15082))) )).
% 20.36/20.62 cnf(matrix-6569, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15083, _u15083)), hAPP(hAPP(c_Product__Type_OPair(_u15083, _u15083), _u15084), _u15085)), c_Transitive__Closure_Ortrancl(_u15083, _u15086))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15083), tc_List_Olist(_u15083))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15083), tc_List_Olist(_u15083)), _u15087), _u15088)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15083), c_List_Olistrel1(_u15083, _u15086)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15083), tc_List_Olist(_u15083))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15083), tc_List_Olist(_u15083)), hAPP(hAPP(c_List_Olist_OCons(_u15083), _u15084), _u15087)), hAPP(hAPP(c_List_Olist_OCons(_u15083), _u15085), _u15088))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15083), c_List_Olistrel1(_u15083, _u15086)))) )).
% 20.36/20.62 cnf(matrix-6570, plain, ( ( c_List_Olist_Olist__size(_u15089, _u15090, hAPP(hAPP(c_List_Olist_OCons(_u15089), _u15091), _u15092)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u15090, _u15091)), c_List_Olist_Olist__size(_u15089, _u15090, _u15092))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 20.36/20.62 cnf(matrix-6571, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15093), _u15094), c_Wellfounded_Oacc(_u15093, _u15095))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15093)), _u15096), c_Wellfounded_Oacc(tc_List_Olist(_u15093), c_List_Olistrel1(_u15093, _u15095)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15093)), hAPP(hAPP(c_List_Olist_OCons(_u15093), _u15094), _u15096)), c_Wellfounded_Oacc(tc_List_Olist(_u15093), c_List_Olistrel1(_u15093, _u15095)))) )).
% 20.36/20.62 cnf(matrix-6572, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15097), tc_List_Olist(_u15097)), tc_HOL_Obool)), c_List_Olistrel1(_u15097, c_Transitive__Closure_Ortrancl(_u15097, _u15098))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15097), c_List_Olistrel1(_u15097, _u15098)))) )).
% 20.36/20.62 cnf(matrix-6573, plain, ( ( c_List_Olistrel1(_u15099, hAPP(c_Relation_Oconverse(_u15099, _u15099), _u15100)) = hAPP(c_Relation_Oconverse(tc_List_Olist(_u15099), tc_List_Olist(_u15099)), c_List_Olistrel1(_u15099, _u15100))) )).
% 20.36/20.62 cnf(matrix-6574, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15101, _u15101), tc_HOL_Obool)), _u15102), _u15103)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15101), tc_List_Olist(_u15101)), tc_HOL_Obool)), c_List_Olistrel1(_u15101, _u15102)), c_List_Olistrel1(_u15101, _u15103))) )).
% 20.36/20.62 cnf(matrix-6575, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15104), tc_List_Olist(_u15104))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15104), tc_List_Olist(_u15104)), _u15105), _u15106)), c_List_Olistrel1(_u15104, _u15107))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15104), tc_List_Olist(_u15104))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15104), tc_List_Olist(_u15104)), hAPP(hAPP(c_List_Olist_OCons(_u15104), _u15108), _u15105)), hAPP(hAPP(c_List_Olist_OCons(_u15104), _u15108), _u15106))), c_List_Olistrel1(_u15104, _u15107))) )).
% 20.36/20.62 cnf(matrix-6576, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15109), tc_List_Olist(_u15109))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15109), tc_List_Olist(_u15109)), _u15110), _u15111)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15109), c_List_Olistrel1(_u15109, _u15112)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15109), tc_List_Olist(_u15109))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15109), tc_List_Olist(_u15109)), hAPP(hAPP(c_List_Olist_OCons(_u15109), _u15113), _u15110)), hAPP(hAPP(c_List_Olist_OCons(_u15109), _u15113), _u15111))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15109), c_List_Olistrel1(_u15109, _u15112)))) )).
% 20.36/20.62 cnf(matrix-6577, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15114), tc_List_Olist(_u15114))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15114), tc_List_Olist(_u15114)), _u15115), _u15116)), c_List_Olistrel1(_u15114, _u15117))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15114)), _u15115) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15114)), _u15116)) )).
% 20.36/20.62 cnf(matrix-6578, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15118), tc_List_Olist(_u15118))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15118), tc_List_Olist(_u15118)), _u15119), _u15120)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15118), c_List_Olistrel1(_u15118, _u15121)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15118)), _u15119) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15118)), _u15120)) )).
% 20.36/20.62 cnf(matrix-6579, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15126), tc_List_Olist(_u15126))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15126), tc_List_Olist(_u15126)), _u15128), _u15130)), c_List_Olistrel1(_u15126, hAPP(c_Relation_Oconverse(_u15126, _u15126), _u15132)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15126), tc_List_Olist(_u15126))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15126), tc_List_Olist(_u15126)), _u15128), _u15130)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u15126), tc_List_Olist(_u15126)), c_List_Olistrel1(_u15126, _u15132)))) )).
% 20.36/20.62 cnf(matrix-6580, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15127), tc_List_Olist(_u15127))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15127), tc_List_Olist(_u15127)), _u15129), _u15131)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u15127), tc_List_Olist(_u15127)), c_List_Olistrel1(_u15127, _u15133)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15127), tc_List_Olist(_u15127))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15127), tc_List_Olist(_u15127)), _u15129), _u15131)), c_List_Olistrel1(_u15127, hAPP(c_Relation_Oconverse(_u15127, _u15127), _u15133)))) )).
% 20.36/20.62 cnf(matrix-6581, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15134, _u15134)), hAPP(hAPP(c_Product__Type_OPair(_u15134, _u15134), _u15135), _u15136)), _u15137)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15134), tc_List_Olist(_u15134))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15134), tc_List_Olist(_u15134)), hAPP(hAPP(c_List_Olist_OCons(_u15134), _u15135), _u15138)), hAPP(hAPP(c_List_Olist_OCons(_u15134), _u15136), _u15138))), c_List_Olistrel1(_u15134, _u15137))) )).
% 20.36/20.62 cnf(matrix-6582, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15145), tc_List_Olist(_u15145))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15145), tc_List_Olist(_u15145)), hAPP(hAPP(c_List_Olist_OCons(_u15145), _u15147), _u15149)), hAPP(hAPP(c_List_Olist_OCons(_u15145), _u15151), _u15153))), c_List_Olistrel1(_u15145, _u15155))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15145, _u15145)), hAPP(hAPP(c_Product__Type_OPair(_u15145, _u15145), _u15147), _u15151)), _u15155)) | ( _u15147 = _u15151) )).
% 20.36/20.62 cnf(matrix-6583, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15145), tc_List_Olist(_u15145))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15145), tc_List_Olist(_u15145)), hAPP(hAPP(c_List_Olist_OCons(_u15145), _u15147), _u15149)), hAPP(hAPP(c_List_Olist_OCons(_u15145), _u15151), _u15153))), c_List_Olistrel1(_u15145, _u15155))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15145, _u15145)), hAPP(hAPP(c_Product__Type_OPair(_u15145, _u15145), _u15147), _u15151)), _u15155)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15145), tc_List_Olist(_u15145))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15145), tc_List_Olist(_u15145)), _u15149), _u15153)), c_List_Olistrel1(_u15145, _u15155))) )).
% 20.36/20.62 cnf(matrix-6584, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15145), tc_List_Olist(_u15145))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15145), tc_List_Olist(_u15145)), hAPP(hAPP(c_List_Olist_OCons(_u15145), _u15147), _u15149)), hAPP(hAPP(c_List_Olist_OCons(_u15145), _u15151), _u15153))), c_List_Olistrel1(_u15145, _u15155))) | ( _u15149 = _u15153) | ( _u15147 = _u15151) )).
% 20.36/20.63 cnf(matrix-6585, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15145), tc_List_Olist(_u15145))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15145), tc_List_Olist(_u15145)), hAPP(hAPP(c_List_Olist_OCons(_u15145), _u15147), _u15149)), hAPP(hAPP(c_List_Olist_OCons(_u15145), _u15151), _u15153))), c_List_Olistrel1(_u15145, _u15155))) | ( _u15149 = _u15153) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15145), tc_List_Olist(_u15145))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15145), tc_List_Olist(_u15145)), _u15149), _u15153)), c_List_Olistrel1(_u15145, _u15155))) )).
% 20.36/20.63 cnf(matrix-6586, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15146), tc_List_Olist(_u15146))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15146), tc_List_Olist(_u15146)), hAPP(hAPP(c_List_Olist_OCons(_u15146), _u15148), _u15150)), hAPP(hAPP(c_List_Olist_OCons(_u15146), _u15152), _u15154))), c_List_Olistrel1(_u15146, _u15156))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15146, _u15146)), hAPP(hAPP(c_Product__Type_OPair(_u15146, _u15146), _u15148), _u15152)), _u15156)) | ( _u15150 != _u15154) )).
% 20.36/20.63 cnf(matrix-6587, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15146), tc_List_Olist(_u15146))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15146), tc_List_Olist(_u15146)), hAPP(hAPP(c_List_Olist_OCons(_u15146), _u15148), _u15150)), hAPP(hAPP(c_List_Olist_OCons(_u15146), _u15152), _u15154))), c_List_Olistrel1(_u15146, _u15156))) | ( _u15148 != _u15152) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15146), tc_List_Olist(_u15146))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15146), tc_List_Olist(_u15146)), _u15150), _u15154)), c_List_Olistrel1(_u15146, _u15156))) )).
% 20.36/20.63 cnf(matrix-6588, plain, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u15157), tc_List_Olist(_u15157), c_List_Olistrel(_u15157, _u15158)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15157)), hAPP(hAPP(c_List_Olist_OCons(_u15157), _u15159), _u15160)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15157), tc_HOL_Obool)))) = c_List_Oset__Cons(_u15157, hAPP(c_Relation_OImage(_u15157, _u15157, _u15158), hAPP(hAPP(c_Set_Oinsert(_u15157), _u15159), c_Orderings_Obot__class_Obot(tc_fun(_u15157, tc_HOL_Obool)))), hAPP(c_Relation_OImage(tc_List_Olist(_u15157), tc_List_Olist(_u15157), c_List_Olistrel(_u15157, _u15158)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15157)), _u15160), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15157), tc_HOL_Obool)))))) )).
% 20.36/20.63 cnf(matrix-6589, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15162, _u15162)), hAPP(hAPP(c_Product__Type_OPair(_u15162, _u15162), skolem399(_u15164, _u15163, _u15162)), skolem399(_u15164, _u15163, _u15162))), _u15163)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15162), tc_List_Olist(_u15162))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15162), tc_List_Olist(_u15162)), _u15164), _u15164)), c_List_Olexord(_u15162, _u15163))) )).
% 20.36/20.63 cnf(matrix-6590, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15165), tc_List_Olist(_u15165))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15165), tc_List_Olist(_u15165)), _u15166), _u15166)), c_List_Olistrel(_u15165, c_Transitive__Closure_Ortrancl(_u15165, _u15167)))) )).
% 20.36/20.63 cnf(matrix-6591, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15168, _u15168), tc_HOL_Obool)), _u15169), _u15170)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15168), tc_List_Olist(_u15168)), tc_HOL_Obool)), c_List_Olistrel(_u15168, _u15169)), c_List_Olistrel(_u15168, _u15170))) )).
% 20.36/20.63 cnf(matrix-6592, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15171), tc_List_Olist(_u15171)), tc_HOL_Obool)), c_List_Olistrel(_u15171, _u15172)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15171), c_List_Olistrel1(_u15171, _u15172)))) )).
% 20.36/20.63 cnf(matrix-6593, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15173), tc_List_Olist(_u15173))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15173), tc_List_Olist(_u15173)), _u15174), _u15175)), c_List_Olistrel(_u15173, _u15176))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15173)), _u15174) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15173)), _u15175)) )).
% 20.36/20.63 cnf(matrix-6594, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15177), tc_List_Olist(_u15177))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15177), tc_List_Olist(_u15177)), _u15178), _u15179)), c_List_Olistrel(_u15177, c_Transitive__Closure_Ortrancl(_u15177, _u15180)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15177), tc_List_Olist(_u15177))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15177), tc_List_Olist(_u15177)), _u15179), _u15181)), c_List_Olistrel(_u15177, c_Transitive__Closure_Ortrancl(_u15177, _u15180)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15177), tc_List_Olist(_u15177))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15177), tc_List_Olist(_u15177)), _u15178), _u15181)), c_List_Olistrel(_u15177, c_Transitive__Closure_Ortrancl(_u15177, _u15180)))) )).
% 20.36/20.63 cnf(matrix-6595, plain, ( ( c_List_Olistrel(_u15182, c_Transitive__Closure_Ortrancl(_u15182, _u15183)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15182), c_List_Olistrel1(_u15182, _u15183))) )).
% 20.36/20.63 cnf(matrix-6596, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15184), tc_List_Olist(_u15184))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15184), tc_List_Olist(_u15184)), _u15185), _u15186)), c_List_Olistrel1(_u15184, _u15187))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15184), tc_List_Olist(_u15184))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15184), tc_List_Olist(_u15184)), _u15185), _u15186)), c_List_Olistrel(_u15184, c_Transitive__Closure_Ortrancl(_u15184, _u15187)))) )).
% 20.36/20.63 cnf(matrix-6597, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15188, _u15188), tc_HOL_Obool)), _u15189), _u15190)) | ~c_Relation_Orefl__on(_u15188, c_Orderings_Otop__class_Otop(tc_fun(_u15188, tc_HOL_Obool)), _u15190) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15188), tc_List_Olist(_u15188)), tc_HOL_Obool)), c_List_Olistrel1(_u15188, _u15189)), c_List_Olistrel(_u15188, _u15190))) )).
% 20.36/20.63 cnf(matrix-6598, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15191), tc_List_Olist(_u15191))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15191), tc_List_Olist(_u15191)), _u15192), _u15193)), c_List_Olistrel(_u15191, _u15194))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15191), tc_List_Olist(_u15191))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15191), tc_List_Olist(_u15191)), _u15192), _u15193)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15191), c_List_Olistrel1(_u15191, _u15194)))) )).
% 20.36/20.63 cnf(matrix-6599, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15195, _u15195)), hAPP(hAPP(c_Product__Type_OPair(_u15195, _u15195), _u15196), _u15197)), _u15198)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15195), tc_List_Olist(_u15195))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15195), tc_List_Olist(_u15195)), _u15199), _u15200)), c_List_Olistrel(_u15195, _u15198))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15195), tc_List_Olist(_u15195))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15195), tc_List_Olist(_u15195)), hAPP(hAPP(c_List_Olist_OCons(_u15195), _u15196), _u15199)), hAPP(hAPP(c_List_Olist_OCons(_u15195), _u15197), _u15200))), c_List_Olistrel(_u15195, _u15198))) )).
% 20.36/20.63 cnf(matrix-6600, plain, ( ~c_List_Olistrelp(_u15205, hAPP(hAPP(c_COMBC(_u15205, tc_fun(tc_prod(_u15205, _u15205), tc_HOL_Obool), tc_fun(_u15205, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15205, tc_fun(tc_fun(tc_prod(_u15205, _u15205), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15205, _u15205), tc_HOL_Obool), tc_fun(_u15205, tc_HOL_Obool)), _u15205), c_COMBC(_u15205, tc_fun(tc_prod(_u15205, _u15205), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15205, tc_prod(_u15205, _u15205)), tc_fun(_u15205, tc_fun(tc_fun(tc_prod(_u15205, _u15205), tc_HOL_Obool), tc_HOL_Obool)), _u15205), hAPP(c_COMBB(tc_prod(_u15205, _u15205), tc_fun(tc_fun(tc_prod(_u15205, _u15205), tc_HOL_Obool), tc_HOL_Obool), _u15205), c_member(tc_prod(_u15205, _u15205)))), c_Product__Type_OPair(_u15205, _u15205)))), _u15207), _u15209, _u15211) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15205), tc_List_Olist(_u15205))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15205), tc_List_Olist(_u15205)), _u15209), _u15211)), c_List_Olistrel(_u15205, _u15207))) )).
% 20.36/20.63 cnf(matrix-6601, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15206), tc_List_Olist(_u15206))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15206), tc_List_Olist(_u15206)), _u15210), _u15212)), c_List_Olistrel(_u15206, _u15208))) | c_List_Olistrelp(_u15206, hAPP(hAPP(c_COMBC(_u15206, tc_fun(tc_prod(_u15206, _u15206), tc_HOL_Obool), tc_fun(_u15206, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15206, tc_fun(tc_fun(tc_prod(_u15206, _u15206), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15206, _u15206), tc_HOL_Obool), tc_fun(_u15206, tc_HOL_Obool)), _u15206), c_COMBC(_u15206, tc_fun(tc_prod(_u15206, _u15206), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15206, tc_prod(_u15206, _u15206)), tc_fun(_u15206, tc_fun(tc_fun(tc_prod(_u15206, _u15206), tc_HOL_Obool), tc_HOL_Obool)), _u15206), hAPP(c_COMBB(tc_prod(_u15206, _u15206), tc_fun(tc_fun(tc_prod(_u15206, _u15206), tc_HOL_Obool), tc_HOL_Obool), _u15206), c_member(tc_prod(_u15206, _u15206)))), c_Product__Type_OPair(_u15206, _u15206)))), _u15208), _u15210, _u15212) )).
% 20.36/20.63 cnf(matrix-6602, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15215), tc_List_Olist(_u15215))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15215), tc_List_Olist(_u15215)), _u15216), hAPP(hAPP(c_List_Olist_OCons(_u15215), _u15217), _u15218))), c_List_Olistrel(_u15215, _u15219))) | ( _u15216 = hAPP(hAPP(c_List_Olist_OCons(_u15215), skolem400(_u15219, _u15218, _u15217, _u15216, _u15215)), skolem401(_u15219, _u15218, _u15217, _u15216, _u15215))) )).
% 20.36/20.63 cnf(matrix-6603, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15215), tc_List_Olist(_u15215))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15215), tc_List_Olist(_u15215)), _u15216), hAPP(hAPP(c_List_Olist_OCons(_u15215), _u15217), _u15218))), c_List_Olistrel(_u15215, _u15219))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15215, _u15215)), hAPP(hAPP(c_Product__Type_OPair(_u15215, _u15215), skolem400(_u15219, _u15218, _u15217, _u15216, _u15215)), _u15217)), _u15219)) )).
% 20.36/20.63 cnf(matrix-6604, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15215), tc_List_Olist(_u15215))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15215), tc_List_Olist(_u15215)), _u15216), hAPP(hAPP(c_List_Olist_OCons(_u15215), _u15217), _u15218))), c_List_Olistrel(_u15215, _u15219))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15215), tc_List_Olist(_u15215))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15215), tc_List_Olist(_u15215)), skolem401(_u15219, _u15218, _u15217, _u15216, _u15215)), _u15218)), c_List_Olistrel(_u15215, _u15219))) )).
% 20.36/20.63 cnf(matrix-6605, plain, ( ~hBOOL(hAPP(hAPP(_u15220, _u15221), _u15222)) | ~c_List_Olistrelp(_u15223, _u15220, _u15224, _u15225) | c_List_Olistrelp(_u15223, _u15220, hAPP(hAPP(c_List_Olist_OCons(_u15223), _u15221), _u15224), hAPP(hAPP(c_List_Olist_OCons(_u15223), _u15222), _u15225)) )).
% 20.36/20.63 cnf(matrix-6606, plain, ( ~c_List_Olistrelp(_u15232, _u15234, hAPP(hAPP(c_List_Olist_OCons(_u15232), _u15236), _u15238), hAPP(hAPP(c_List_Olist_OCons(_u15232), _u15240), _u15242)) | hBOOL(hAPP(hAPP(_u15234, _u15236), _u15240)) )).
% 20.36/20.63 cnf(matrix-6607, plain, ( ~c_List_Olistrelp(_u15232, _u15234, hAPP(hAPP(c_List_Olist_OCons(_u15232), _u15236), _u15238), hAPP(hAPP(c_List_Olist_OCons(_u15232), _u15240), _u15242)) | c_List_Olistrelp(_u15232, _u15234, _u15238, _u15242) )).
% 20.36/20.63 cnf(matrix-6608, plain, ( ~hBOOL(hAPP(hAPP(_u15235, _u15237), _u15241)) | ~c_List_Olistrelp(_u15233, _u15235, _u15239, _u15243) | c_List_Olistrelp(_u15233, _u15235, hAPP(hAPP(c_List_Olist_OCons(_u15233), _u15237), _u15239), hAPP(hAPP(c_List_Olist_OCons(_u15233), _u15241), _u15243)) )).
% 20.36/20.63 cnf(matrix-6609, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15246), tc_List_Olist(_u15246))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15246), tc_List_Olist(_u15246)), hAPP(hAPP(c_List_Olist_OCons(_u15246), _u15247), _u15248)), _u15249)), c_List_Olistrel(_u15246, _u15250))) | ( _u15249 = hAPP(hAPP(c_List_Olist_OCons(_u15246), skolem402(_u15250, _u15249, _u15248, _u15247, _u15246)), skolem403(_u15250, _u15249, _u15248, _u15247, _u15246))) )).
% 20.36/20.63 cnf(matrix-6610, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15246), tc_List_Olist(_u15246))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15246), tc_List_Olist(_u15246)), hAPP(hAPP(c_List_Olist_OCons(_u15246), _u15247), _u15248)), _u15249)), c_List_Olistrel(_u15246, _u15250))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15246, _u15246)), hAPP(hAPP(c_Product__Type_OPair(_u15246, _u15246), _u15247), skolem402(_u15250, _u15249, _u15248, _u15247, _u15246))), _u15250)) )).
% 20.36/20.63 cnf(matrix-6611, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15246), tc_List_Olist(_u15246))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15246), tc_List_Olist(_u15246)), hAPP(hAPP(c_List_Olist_OCons(_u15246), _u15247), _u15248)), _u15249)), c_List_Olistrel(_u15246, _u15250))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15246), tc_List_Olist(_u15246))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15246), tc_List_Olist(_u15246)), _u15248), skolem403(_u15250, _u15249, _u15248, _u15247, _u15246))), c_List_Olistrel(_u15246, _u15250))) )).
% 20.36/20.63 cnf(matrix-6612, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15251, _u15251), tc_HOL_Obool)), _u15252), hAPP(hAPP(c_Product__Type_OSigma(_u15251, _u15251), _u15253), hAPP(c_COMBK(tc_fun(_u15251, tc_HOL_Obool), _u15251), _u15253)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15251), tc_List_Olist(_u15251)), tc_HOL_Obool)), c_List_Olistrel(_u15251, _u15252)), hAPP(hAPP(c_Product__Type_OSigma(tc_List_Olist(_u15251), tc_List_Olist(_u15251)), c_List_Olists(_u15251, _u15253)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u15251), tc_HOL_Obool), tc_List_Olist(_u15251)), c_List_Olists(_u15251, _u15253))))) )).
% 20.36/20.63 cnf(matrix-6613, plain, ( ( c_List_Olists(_u15254, c_Orderings_Otop__class_Otop(tc_fun(_u15254, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u15254), tc_HOL_Obool))) )).
% 20.36/20.63 cnf(matrix-6614, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15255, tc_HOL_Obool)), _u15256), _u15257)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(_u15255), tc_HOL_Obool)), c_List_Olists(_u15255, _u15256)), c_List_Olists(_u15255, _u15257))) )).
% 20.36/20.63 cnf(matrix-6615, plain, ( ~c_Equiv__Relations_Oequiv(_u15258, _u15259, _u15260) | c_Equiv__Relations_Oequiv(tc_List_Olist(_u15258), c_List_Olists(_u15258, _u15259), c_List_Olistrel(_u15258, _u15260)) )).
% 20.36/20.63 cnf(matrix-6616, plain, ( ~c_Relation_Orefl__on(_u15261, _u15262, _u15263) | c_Relation_Orefl__on(tc_List_Olist(_u15261), c_List_Olists(_u15261, _u15262), c_List_Olistrel(_u15261, _u15263)) )).
% 20.36/20.63 cnf(matrix-6617, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15268)), hAPP(hAPP(c_List_Olist_OCons(_u15268), _u15270), _u15272)), c_List_Olists(_u15268, _u15274))) | hBOOL(hAPP(hAPP(c_member(_u15268), _u15270), _u15274)) )).
% 20.36/20.63 cnf(matrix-6618, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15268)), hAPP(hAPP(c_List_Olist_OCons(_u15268), _u15270), _u15272)), c_List_Olists(_u15268, _u15274))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15268)), _u15272), c_List_Olists(_u15268, _u15274))) )).
% 20.36/20.63 cnf(matrix-6619, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15269), _u15271), _u15275)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15269)), _u15273), c_List_Olists(_u15269, _u15275))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15269)), hAPP(hAPP(c_List_Olist_OCons(_u15269), _u15271), _u15273)), c_List_Olists(_u15269, _u15275))) )).
% 20.36/20.63 cnf(matrix-6620, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15276)), _u15277), c_Wellfounded_Oacc(tc_List_Olist(_u15276), c_List_Olistrel1(_u15276, _u15278)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15276)), _u15277), c_List_Olists(_u15276, c_Wellfounded_Oacc(_u15276, _u15278)))) )).
% 20.36/20.63 cnf(matrix-6621, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15279)), _u15280), c_List_Olists(_u15279, c_Wellfounded_Oacc(_u15279, _u15281)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15279)), _u15280), c_Wellfounded_Oacc(tc_List_Olist(_u15279), c_List_Olistrel1(_u15279, _u15281)))) )).
% 20.36/20.63 cnf(matrix-6622, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15288), tc_List_Olist(_u15288))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15288), tc_List_Olist(_u15288)), _u15290), _u15292)), c_List_Olistrel(_u15288, _u15294))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15288)), _u15290) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15288)), _u15292)) )).
% 20.36/20.63 cnf(matrix-6623, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15288), tc_List_Olist(_u15288))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15288), tc_List_Olist(_u15288)), _u15290), _u15292)), c_List_Olistrel(_u15288, _u15294))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15282), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15288)), _u15290))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15288, _u15288)), hAPP(hAPP(c_Product__Type_OPair(_u15288, _u15288), hAPP(hAPP(c_List_Onth(_u15288), _u15290), _u15282)), hAPP(hAPP(c_List_Onth(_u15288), _u15292), _u15282))), _u15294)) )).
% 20.36/20.63 cnf(matrix-6624, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15289), tc_List_Olist(_u15289))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15289), tc_List_Olist(_u15289)), _u15291), _u15293)), c_List_Olistrel(_u15289, _u15295))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15289)), _u15291) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15289)), _u15293)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem404(_u15295, _u15293, _u15291, _u15289)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15289)), _u15291))) )).
% 20.36/20.63 cnf(matrix-6625, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15289), tc_List_Olist(_u15289))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15289), tc_List_Olist(_u15289)), _u15291), _u15293)), c_List_Olistrel(_u15289, _u15295))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15289)), _u15291) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15289)), _u15293)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15289, _u15289)), hAPP(hAPP(c_Product__Type_OPair(_u15289, _u15289), hAPP(hAPP(c_List_Onth(_u15289), _u15291), skolem404(_u15295, _u15293, _u15291, _u15289))), hAPP(hAPP(c_List_Onth(_u15289), _u15293), skolem404(_u15295, _u15293, _u15291, _u15289)))), _u15295)) )).
% 20.36/20.63 cnf(matrix-6626, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15298), tc_List_Olist(_u15298))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15298), tc_List_Olist(_u15298)), _u15300), _u15301)), c_List_Olexord(_u15298, _u15299))) | ( _u15300 = _u15301) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15298), tc_List_Olist(_u15298))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15298), tc_List_Olist(_u15298)), _u15301), _u15300)), c_List_Olexord(_u15298, _u15299))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15298, _u15298)), hAPP(hAPP(c_Product__Type_OPair(_u15298, _u15298), skolem405(_u15301, _u15300, _u15299, _u15298)), skolem406(_u15301, _u15300, _u15299, _u15298))), _u15299)) )).
% 20.36/20.63 cnf(matrix-6627, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15298), tc_List_Olist(_u15298))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15298), tc_List_Olist(_u15298)), _u15300), _u15301)), c_List_Olexord(_u15298, _u15299))) | ( _u15300 = _u15301) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15298), tc_List_Olist(_u15298))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15298), tc_List_Olist(_u15298)), _u15301), _u15300)), c_List_Olexord(_u15298, _u15299))) | ( skolem405(_u15301, _u15300, _u15299, _u15298) != skolem406(_u15301, _u15300, _u15299, _u15298)) )).
% 20.36/20.63 cnf(matrix-6628, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15298), tc_List_Olist(_u15298))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15298), tc_List_Olist(_u15298)), _u15300), _u15301)), c_List_Olexord(_u15298, _u15299))) | ( _u15300 = _u15301) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15298), tc_List_Olist(_u15298))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15298), tc_List_Olist(_u15298)), _u15301), _u15300)), c_List_Olexord(_u15298, _u15299))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15298, _u15298)), hAPP(hAPP(c_Product__Type_OPair(_u15298, _u15298), skolem406(_u15301, _u15300, _u15299, _u15298)), skolem405(_u15301, _u15300, _u15299, _u15298))), _u15299)) )).
% 20.36/20.63 cnf(matrix-6629, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u15302)), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u15302), tc_HOL_Obool)))) )).
% 20.36/20.63 cnf(matrix-6630, plain, ( ( _u15308 != _u15310) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15312)), _u15308) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15312)), _u15310)) )).
% 20.36/20.63 cnf(matrix-6631, plain, ( ( _u15308 != _u15310) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15303), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15312)), _u15308))) | ( hAPP(hAPP(c_List_Onth(_u15312), _u15308), _u15303) = hAPP(hAPP(c_List_Onth(_u15312), _u15310), _u15303)) )).
% 20.36/20.63 cnf(matrix-6632, plain, ( ( _u15309 = _u15311) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15313)), _u15309) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15313)), _u15311)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem407(_u15313, _u15311, _u15309)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15313)), _u15309))) )).
% 20.36/20.63 cnf(matrix-6633, plain, ( ( _u15309 = _u15311) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15313)), _u15309) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15313)), _u15311)) | ( hAPP(hAPP(c_List_Onth(_u15313), _u15309), skolem407(_u15313, _u15311, _u15309)) != hAPP(hAPP(c_List_Onth(_u15313), _u15311), skolem407(_u15313, _u15311, _u15309))) )).
% 20.36/20.63 cnf(matrix-6634, plain, ( ( hAPP(hAPP(c_List_Onth(_u15314), hAPP(hAPP(c_List_Olist_OCons(_u15314), _u15315), _u15316)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u15315) )).
% 20.36/20.63 cnf(matrix-6635, plain, ( ( hAPP(hAPP(c_List_Onth(_u15317), hAPP(hAPP(c_List_Olist_OCons(_u15317), _u15318), _u15319)), hAPP(c_Nat_OSuc, _u15320)) = hAPP(hAPP(c_List_Onth(_u15317), _u15319), _u15320)) )).
% 20.36/20.63 cnf(matrix-6636, plain, ( ( hAPP(hAPP(c_List_Onth(_u15321), hAPP(hAPP(c_List_Olist_OCons(_u15321), _u15322), _u15323)), _u15324) = c_Nat_Onat_Onat__case(_u15321, _u15322, hAPP(c_List_Onth(_u15321), _u15323), _u15324)) )).
% 20.36/20.63 cnf(matrix-6637, plain, ( ( _u15329 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15331), hAPP(hAPP(c_List_Olist_OCons(_u15331), _u15333), _u15335)), _u15329) = _u15333) )).
% 20.36/20.63 cnf(matrix-6638, plain, ( ( _u15330 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15332), hAPP(hAPP(c_List_Olist_OCons(_u15332), _u15334), _u15336)), _u15330) = hAPP(hAPP(c_List_Onth(_u15332), _u15336), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u15330), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 20.36/20.63 cnf(matrix-6639, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15341) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15343), hAPP(hAPP(c_List_Olist_OCons(_u15343), _u15345), _u15347)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15341)) = _u15345) )).
% 20.36/20.63 cnf(matrix-6640, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15342) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15344), hAPP(hAPP(c_List_Olist_OCons(_u15344), _u15346), _u15348)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15342)) = hAPP(hAPP(c_List_Onth(_u15344), _u15348), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15342)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 20.36/20.63 cnf(matrix-6641, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15355), tc_List_Olist(_u15355))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15355), tc_List_Olist(_u15355)), _u15357), _u15359)), c_List_Olexord(_u15355, _u15361))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15355)), _u15357)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15355)), _u15359))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem408(_u15361, _u15359, _u15357, _u15355)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15355)), _u15357)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15355)), _u15359)))) )).
% 20.36/20.63 cnf(matrix-6642, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15355), tc_List_Olist(_u15355))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15355), tc_List_Olist(_u15355)), _u15357), _u15359)), c_List_Olexord(_u15355, _u15361))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15355)), _u15357)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15355)), _u15359))) | ( hAPP(hAPP(c_List_Otake(_u15355), skolem408(_u15361, _u15359, _u15357, _u15355)), _u15357) = hAPP(hAPP(c_List_Otake(_u15355), skolem408(_u15361, _u15359, _u15357, _u15355)), _u15359)) )).
% 20.36/20.63 cnf(matrix-6643, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15355), tc_List_Olist(_u15355))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15355), tc_List_Olist(_u15355)), _u15357), _u15359)), c_List_Olexord(_u15355, _u15361))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15355)), _u15357)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15355)), _u15359))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15355, _u15355)), hAPP(hAPP(c_Product__Type_OPair(_u15355, _u15355), hAPP(hAPP(c_List_Onth(_u15355), _u15357), skolem408(_u15361, _u15359, _u15357, _u15355))), hAPP(hAPP(c_List_Onth(_u15355), _u15359), skolem408(_u15361, _u15359, _u15357, _u15355)))), _u15361)) )).
% 20.36/20.63 cnf(matrix-6644, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15355), tc_List_Olist(_u15355))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15355), tc_List_Olist(_u15355)), _u15357), _u15359)), c_List_Olexord(_u15355, _u15361))) | ( hAPP(hAPP(c_List_Otake(_u15355), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15355)), _u15357)), _u15359) = _u15357) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem408(_u15361, _u15359, _u15357, _u15355)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15355)), _u15357)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15355)), _u15359)))) )).
% 20.36/20.63 cnf(matrix-6645, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15355), tc_List_Olist(_u15355))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15355), tc_List_Olist(_u15355)), _u15357), _u15359)), c_List_Olexord(_u15355, _u15361))) | ( hAPP(hAPP(c_List_Otake(_u15355), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15355)), _u15357)), _u15359) = _u15357) | ( hAPP(hAPP(c_List_Otake(_u15355), skolem408(_u15361, _u15359, _u15357, _u15355)), _u15357) = hAPP(hAPP(c_List_Otake(_u15355), skolem408(_u15361, _u15359, _u15357, _u15355)), _u15359)) )).
% 20.36/20.63 cnf(matrix-6646, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15355), tc_List_Olist(_u15355))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15355), tc_List_Olist(_u15355)), _u15357), _u15359)), c_List_Olexord(_u15355, _u15361))) | ( hAPP(hAPP(c_List_Otake(_u15355), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15355)), _u15357)), _u15359) = _u15357) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15355, _u15355)), hAPP(hAPP(c_Product__Type_OPair(_u15355, _u15355), hAPP(hAPP(c_List_Onth(_u15355), _u15357), skolem408(_u15361, _u15359, _u15357, _u15355))), hAPP(hAPP(c_List_Onth(_u15355), _u15359), skolem408(_u15361, _u15359, _u15357, _u15355)))), _u15361)) )).
% 20.36/20.63 cnf(matrix-6647, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15356), tc_List_Olist(_u15356))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15356), tc_List_Olist(_u15356)), _u15358), _u15360)), c_List_Olexord(_u15356, _u15362))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15356)), _u15358)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15356)), _u15360))) | ( hAPP(hAPP(c_List_Otake(_u15356), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15356)), _u15358)), _u15360) != _u15358) )).
% 20.36/20.63 cnf(matrix-6648, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15356), tc_List_Olist(_u15356))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15356), tc_List_Olist(_u15356)), _u15358), _u15360)), c_List_Olexord(_u15356, _u15362))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15350), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15356)), _u15358)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15356)), _u15360)))) | ( hAPP(hAPP(c_List_Otake(_u15356), _u15350), _u15358) != hAPP(hAPP(c_List_Otake(_u15356), _u15350), _u15360)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15356, _u15356)), hAPP(hAPP(c_Product__Type_OPair(_u15356, _u15356), hAPP(hAPP(c_List_Onth(_u15356), _u15358), _u15350)), hAPP(hAPP(c_List_Onth(_u15356), _u15360), _u15350))), _u15362)) )).
% 20.36/20.63 cnf(matrix-6649, plain, ( ( hAPP(c_List_Oset(_u15363), c_List_Osublist(_u15363, _u15364, _u15365)) = hAPP(c_Set_OCollect(_u15363), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u15363), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u15363, 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)), _u15363), 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)), _u15363), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u15363, tc_fun(tc_Nat_Onat, _u15363), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15363, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u15363), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u15363), c_COMBB(_u15363, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u15363), _u15364))))), 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(_u15363)), _u15364)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u15365)))))) )).
% 20.36/20.63 cnf(matrix-6650, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u15366), hAPP(c_List_Oset(_u15366), _u15367))) )).
% 20.36/20.63 cnf(matrix-6651, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15368, tc_HOL_Obool)), hAPP(c_List_Oset(_u15368), _u15369)), hAPP(c_List_Oset(_u15368), hAPP(hAPP(c_List_Olist_OCons(_u15368), _u15370), _u15369)))) )).
% 20.36/20.63 cnf(matrix-6652, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15371)), _u15372)), _u15373)) | ( hAPP(hAPP(c_List_Otake(_u15371), _u15373), _u15372) = _u15372) )).
% 20.36/20.63 cnf(matrix-6653, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15374, tc_HOL_Obool)), hAPP(c_List_Oset(_u15374), hAPP(hAPP(c_List_Otake(_u15374), _u15375), _u15376))), hAPP(c_List_Oset(_u15374), _u15376))) )).
% 20.36/20.63 cnf(matrix-6654, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15377), _u15378)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15379, tc_HOL_Obool)), hAPP(c_List_Oset(_u15379), hAPP(hAPP(c_List_Otake(_u15379), _u15377), _u15380))), hAPP(c_List_Oset(_u15379), hAPP(hAPP(c_List_Otake(_u15379), _u15378), _u15380)))) )).
% 20.36/20.63 cnf(matrix-6655, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15381, tc_HOL_Obool)), hAPP(c_List_Oset(_u15381), c_List_Osublist(_u15381, _u15382, _u15383))), hAPP(c_List_Oset(_u15381), _u15382))) )).
% 20.36/20.63 cnf(matrix-6656, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15384), _u15385)) | ( hAPP(hAPP(c_List_Onth(_u15386), hAPP(hAPP(c_List_Otake(_u15386), _u15385), _u15387)), _u15384) = hAPP(hAPP(c_List_Onth(_u15386), _u15387), _u15384)) )).
% 20.36/20.63 cnf(matrix-6657, plain, ( hBOOL(hAPP(hAPP(c_member(_u15388), _u15389), hAPP(c_List_Oset(_u15388), _u15390))) | ~hBOOL(hAPP(hAPP(c_member(_u15388), _u15389), hAPP(c_List_Oset(_u15388), c_List_Osublist(_u15388, _u15390, _u15391)))) )).
% 20.36/20.63 cnf(matrix-6658, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15392), _u15393), hAPP(c_List_Oset(_u15392), hAPP(hAPP(c_List_Otake(_u15392), _u15394), _u15395)))) | hBOOL(hAPP(hAPP(c_member(_u15392), _u15393), hAPP(c_List_Oset(_u15392), _u15395))) )).
% 20.36/20.63 cnf(matrix-6659, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15396), _u15397), hAPP(c_List_Oset(_u15396), c_List_Osublist(_u15396, _u15398, _u15399)))) | hBOOL(hAPP(hAPP(c_member(_u15396), _u15397), hAPP(c_List_Oset(_u15396), _u15398))) )).
% 20.36/20.63 cnf(matrix-6660, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15400), _u15401), hAPP(c_List_Oset(_u15400), hAPP(hAPP(c_List_Olist_OCons(_u15400), _u15402), _u15403)))) | ( _u15401 = _u15402) | hBOOL(hAPP(hAPP(c_member(_u15400), _u15401), hAPP(c_List_Oset(_u15400), _u15403))) )).
% 20.36/20.63 cnf(matrix-6661, plain, ( ( hAPP(hAPP(c_List_Otake(_u15404), hAPP(c_Nat_OSuc, _u15405)), hAPP(hAPP(c_List_Olist_OCons(_u15404), _u15406), _u15407)) = hAPP(hAPP(c_List_Olist_OCons(_u15404), _u15406), hAPP(hAPP(c_List_Otake(_u15404), _u15405), _u15407))) )).
% 20.36/20.63 cnf(matrix-6662, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15408)), hAPP(hAPP(c_List_Otake(_u15408), _u15409), _u15410)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15408)), _u15410)), _u15409)) )).
% 20.36/20.63 cnf(matrix-6663, plain, ( ( hAPP(hAPP(c_List_Otake(_u15411), _u15412), hAPP(hAPP(c_List_Otake(_u15411), _u15413), _u15414)) = hAPP(hAPP(c_List_Otake(_u15411), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u15412), _u15413)), _u15414)) )).
% 20.36/20.63 cnf(matrix-6664, plain, ( ( hAPP(c_List_Oset(_u15415), hAPP(hAPP(c_List_Olist_OCons(_u15415), _u15416), _u15417)) = hAPP(hAPP(c_Set_Oinsert(_u15415), _u15416), hAPP(c_List_Oset(_u15415), _u15417))) )).
% 20.36/20.63 cnf(matrix-6665, plain, ( ( c_List_Osublist(_u15418, _u15419, hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u15420)) = hAPP(hAPP(c_List_Otake(_u15418), _u15420), _u15419)) )).
% 20.36/20.63 cnf(matrix-6666, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u15421), hAPP(c_List_Oset(_u15421), _u15422))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15421)), _u15422))) )).
% 20.36/20.63 cnf(matrix-6667, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15424), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15430)), _u15432))) | hBOOL(hAPP(_u15434, hAPP(hAPP(c_List_Onth(_u15430), _u15432), _u15424))) | hBOOL(hAPP(hAPP(c_member(_u15430), skolem409(_u15434, _u15432, _u15430)), hAPP(c_List_Oset(_u15430), _u15432))) )).
% 20.36/20.63 cnf(matrix-6668, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15424), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15430)), _u15432))) | hBOOL(hAPP(_u15434, hAPP(hAPP(c_List_Onth(_u15430), _u15432), _u15424))) | ~hBOOL(hAPP(_u15434, skolem409(_u15434, _u15432, _u15430))) )).
% 20.36/20.63 cnf(matrix-6669, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15431), _u15426), hAPP(c_List_Oset(_u15431), _u15433))) | hBOOL(hAPP(_u15435, _u15426)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem410(_u15435, _u15433, _u15431)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15431)), _u15433))) )).
% 20.36/20.63 cnf(matrix-6670, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15431), _u15426), hAPP(c_List_Oset(_u15431), _u15433))) | hBOOL(hAPP(_u15435, _u15426)) | ~hBOOL(hAPP(_u15435, hAPP(hAPP(c_List_Onth(_u15431), _u15433), skolem410(_u15435, _u15433, _u15431)))) )).
% 20.36/20.63 cnf(matrix-6671, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15436), _u15437), hAPP(c_List_Oset(_u15436), _u15438))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15439), hAPP(_u15440, _u15437))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15439), c_List_Olist_Olist__size(_u15436, _u15440, _u15438))) )).
% 20.36/20.63 cnf(matrix-6672, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15441), _u15442), hAPP(c_List_Oset(_u15441), _u15443))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15444), hAPP(_u15445, _u15442))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15444), c_List_Olist_Olist__size(_u15441, _u15445, _u15443))) )).
% 20.36/20.63 cnf(matrix-6673, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15451)), _u15453), c_List_Olists(_u15451, _u15455))) | ~hBOOL(hAPP(hAPP(c_member(_u15451), _u15446), hAPP(c_List_Oset(_u15451), _u15453))) | hBOOL(hAPP(hAPP(c_member(_u15451), _u15446), _u15455)) )).
% 20.36/20.63 cnf(matrix-6674, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15452)), _u15454), c_List_Olists(_u15452, _u15456))) | hBOOL(hAPP(hAPP(c_member(_u15452), skolem411(_u15456, _u15454, _u15452)), hAPP(c_List_Oset(_u15452), _u15454))) )).
% 20.36/20.63 cnf(matrix-6675, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15452)), _u15454), c_List_Olists(_u15452, _u15456))) | ~hBOOL(hAPP(hAPP(c_member(_u15452), skolem411(_u15456, _u15454, _u15452)), _u15456)) )).
% 20.36/20.63 cnf(matrix-6676, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15457), _u15458), hAPP(c_List_Oset(_u15457), _u15459))) | 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(_u15457)), _u15459))) )).
% 20.36/20.63 cnf(matrix-6677, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15465), _u15467), hAPP(c_List_Oset(_u15465), _u15469))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem412(_u15469, _u15467, _u15465)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15465)), _u15469))) )).
% 20.36/20.63 cnf(matrix-6678, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15465), _u15467), hAPP(c_List_Oset(_u15465), _u15469))) | ( hAPP(hAPP(c_List_Onth(_u15465), _u15469), skolem412(_u15469, _u15467, _u15465)) = _u15467) )).
% 20.36/20.63 cnf(matrix-6679, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15461), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15466)), _u15470))) | ( hAPP(hAPP(c_List_Onth(_u15466), _u15470), _u15461) != _u15468) | hBOOL(hAPP(hAPP(c_member(_u15466), _u15468), hAPP(c_List_Oset(_u15466), _u15470))) )).
% 20.36/20.63 cnf(matrix-6680, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15471), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15472)), _u15473))) | hBOOL(hAPP(hAPP(c_member(_u15472), hAPP(hAPP(c_List_Onth(_u15472), _u15473), _u15471)), hAPP(c_List_Oset(_u15472), _u15473))) )).
% 20.36/20.63 cnf(matrix-6681, plain, ( ( c_List_Olists(_u15474, _u15475) = hAPP(c_Set_OCollect(tc_List_Olist(_u15474)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15474), tc_fun(_u15474, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15474, tc_HOL_Obool), tc_fun(tc_fun(_u15474, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15474)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u15474, tc_HOL_Obool))), c_List_Oset(_u15474))), _u15475))) )).
% 20.36/20.63 cnf(matrix-6682, plain, ( ( hAPP(c_List_Oset(_u15476), _u15477) = hAPP(c_Set_OCollect(_u15476), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u15476), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u15476, 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)), _u15476), 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)), _u15476), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u15476, tc_fun(tc_Nat_Onat, _u15476), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15476, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u15476), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u15476), c_COMBB(_u15476, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u15476), _u15477))))), 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(_u15476)), _u15477)))))) )).
% 20.36/20.63 cnf(matrix-6683, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15478), _u15479)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u15478)), hAPP(c_Set_OCollect(tc_List_Olist(_u15478)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15478), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15478)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15478), tc_fun(_u15478, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15478, tc_HOL_Obool), tc_fun(tc_fun(_u15478, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15478)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u15478, tc_HOL_Obool))), c_List_Oset(_u15478))), _u15479))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15478), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u15478)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u15478)))), _u15480))))) )).
% 20.36/20.63 cnf(matrix-6684, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15481), _u15482)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u15481)), hAPP(c_Set_OCollect(tc_List_Olist(_u15481)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15481), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15481)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15481), tc_fun(_u15481, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15481, tc_HOL_Obool), tc_fun(tc_fun(_u15481, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15481)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u15481, tc_HOL_Obool))), c_List_Oset(_u15481))), _u15482))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15481), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u15481)), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u15481)))), _u15483))))) )).
% 20.36/20.63 cnf(matrix-6685, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15490), tc_List_Olist(_u15490))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15490), tc_List_Olist(_u15490)), _u15492), _u15494)), c_List_Olistrel(_u15490, _u15496))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15490)), _u15492) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15490)), _u15494)) )).
% 20.36/20.63 cnf(matrix-6686, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15490), tc_List_Olist(_u15490))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15490), tc_List_Olist(_u15490)), _u15492), _u15494)), c_List_Olistrel(_u15490, _u15496))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15490, _u15490)), _u15484), hAPP(c_List_Oset(tc_prod(_u15490, _u15490)), hAPP(hAPP(c_List_Ozip(_u15490, _u15490), _u15492), _u15494)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15490, _u15490, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15490, tc_fun(tc_prod(_u15490, _u15490), tc_HOL_Obool), tc_fun(_u15490, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15490, tc_fun(tc_fun(tc_prod(_u15490, _u15490), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15490, _u15490), tc_HOL_Obool), tc_fun(_u15490, tc_HOL_Obool)), _u15490), c_COMBC(_u15490, tc_fun(tc_prod(_u15490, _u15490), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15490, tc_prod(_u15490, _u15490)), tc_fun(_u15490, tc_fun(tc_fun(tc_prod(_u15490, _u15490), tc_HOL_Obool), tc_HOL_Obool)), _u15490), hAPP(c_COMBB(tc_prod(_u15490, _u15490), tc_fun(tc_fun(tc_prod(_u15490, _u15490), tc_HOL_Obool), tc_HOL_Obool), _u15490), c_member(tc_prod(_u15490, _u15490)))), c_Product__Type_OPair(_u15490, _u15490)))), _u15496)), _u15484)) )).
% 20.36/20.63 cnf(matrix-6687, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15491), tc_List_Olist(_u15491))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15491), tc_List_Olist(_u15491)), _u15493), _u15495)), c_List_Olistrel(_u15491, _u15497))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15491)), _u15493) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15491)), _u15495)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15491, _u15491)), skolem413(_u15497, _u15495, _u15493, _u15491)), hAPP(c_List_Oset(tc_prod(_u15491, _u15491)), hAPP(hAPP(c_List_Ozip(_u15491, _u15491), _u15493), _u15495)))) )).
% 20.36/20.63 cnf(matrix-6688, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15491), tc_List_Olist(_u15491))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15491), tc_List_Olist(_u15491)), _u15493), _u15495)), c_List_Olistrel(_u15491, _u15497))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15491)), _u15493) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15491)), _u15495)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15491, _u15491, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15491, tc_fun(tc_prod(_u15491, _u15491), tc_HOL_Obool), tc_fun(_u15491, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15491, tc_fun(tc_fun(tc_prod(_u15491, _u15491), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15491, _u15491), tc_HOL_Obool), tc_fun(_u15491, tc_HOL_Obool)), _u15491), c_COMBC(_u15491, tc_fun(tc_prod(_u15491, _u15491), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15491, tc_prod(_u15491, _u15491)), tc_fun(_u15491, tc_fun(tc_fun(tc_prod(_u15491, _u15491), tc_HOL_Obool), tc_HOL_Obool)), _u15491), hAPP(c_COMBB(tc_prod(_u15491, _u15491), tc_fun(tc_fun(tc_prod(_u15491, _u15491), tc_HOL_Obool), tc_HOL_Obool), _u15491), c_member(tc_prod(_u15491, _u15491)))), c_Product__Type_OPair(_u15491, _u15491)))), _u15497)), skolem413(_u15497, _u15495, _u15493, _u15491))) )).
% 20.36/20.63 cnf(matrix-6689, plain, ( ( hAPP(c_List_Oset(tc_prod(_u15498, _u15499)), hAPP(hAPP(c_List_Ozip(_u15498, _u15499), _u15500), _u15501)) = hAPP(c_Set_OCollect(tc_prod(_u15498, _u15499)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u15498, _u15499)), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u15498, _u15499), 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(_u15498, _u15499)), 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(_u15498, _u15499)), 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(_u15498, _u15499), tc_fun(tc_Nat_Onat, tc_prod(_u15498, _u15499)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u15498, _u15499), tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_prod(_u15498, _u15499)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_prod(_u15498, _u15499)), c_COMBB(tc_prod(_u15498, _u15499), tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u15499, tc_prod(_u15498, _u15499)), hAPP(hAPP(c_COMBB(_u15498, tc_fun(_u15499, tc_prod(_u15498, _u15499)), tc_Nat_Onat), c_Product__Type_OPair(_u15498, _u15499)), hAPP(c_List_Onth(_u15498), _u15500))), hAPP(c_List_Onth(_u15499), _u15501)))))), 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(_u15498)), _u15500)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15499)), _u15501))))))) )).
% 20.36/20.63 cnf(matrix-6690, plain, ( ( hAPP(hAPP(c_List_Otake(tc_prod(_u15502, _u15503)), _u15504), hAPP(hAPP(c_List_Ozip(_u15502, _u15503), _u15505), _u15506)) = hAPP(hAPP(c_List_Ozip(_u15502, _u15503), hAPP(hAPP(c_List_Otake(_u15502), _u15504), _u15505)), hAPP(hAPP(c_List_Otake(_u15503), _u15504), _u15506))) )).
% 20.36/20.63 cnf(matrix-6691, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_prod(_u15507, _u15508))), hAPP(hAPP(c_List_Ozip(_u15507, _u15508), _u15509), _u15510)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15507)), _u15509)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15508)), _u15510))) )).
% 20.36/20.63 cnf(matrix-6692, plain, ( ( hAPP(hAPP(c_List_Ozip(_u15511, _u15512), hAPP(hAPP(c_List_Olist_OCons(_u15511), _u15513), _u15514)), hAPP(hAPP(c_List_Olist_OCons(_u15512), _u15515), _u15516)) = hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u15511, _u15512)), hAPP(hAPP(c_Product__Type_OPair(_u15511, _u15512), _u15513), _u15515)), hAPP(hAPP(c_List_Ozip(_u15511, _u15512), _u15514), _u15516))) )).
% 20.36/20.63 cnf(matrix-6693, plain, ( ( _u15522 != _u15524) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15526)), _u15522) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15526)), _u15524)) )).
% 20.36/20.63 cnf(matrix-6694, plain, ( ( _u15522 != _u15524) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15526, _u15526)), _u15517), hAPP(c_List_Oset(tc_prod(_u15526, _u15526)), hAPP(hAPP(c_List_Ozip(_u15526, _u15526), _u15522), _u15524)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15526, _u15526, tc_HOL_Obool), c_fequal), _u15517)) )).
% 20.36/20.63 cnf(matrix-6695, plain, ( ( _u15523 = _u15525) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15527)), _u15523) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15527)), _u15525)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15527, _u15527)), skolem414(_u15527, _u15525, _u15523)), hAPP(c_List_Oset(tc_prod(_u15527, _u15527)), hAPP(hAPP(c_List_Ozip(_u15527, _u15527), _u15523), _u15525)))) )).
% 20.36/20.63 cnf(matrix-6696, plain, ( ( _u15523 = _u15525) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15527)), _u15523) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15527)), _u15525)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15527, _u15527, tc_HOL_Obool), c_fequal), skolem414(_u15527, _u15525, _u15523))) )).
% 20.36/20.63 cnf(matrix-6697, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15532, _u15532)), hAPP(hAPP(c_Product__Type_OPair(_u15532, _u15532), _u15534), _u15536)), hAPP(c_List_Oset(tc_prod(_u15532, _u15532)), hAPP(hAPP(c_List_Ozip(_u15532, _u15532), _u15538), _u15538)))) | hBOOL(hAPP(hAPP(c_member(_u15532), _u15534), hAPP(c_List_Oset(_u15532), _u15538))) )).
% 20.36/20.63 cnf(matrix-6698, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15532, _u15532)), hAPP(hAPP(c_Product__Type_OPair(_u15532, _u15532), _u15534), _u15536)), hAPP(c_List_Oset(tc_prod(_u15532, _u15532)), hAPP(hAPP(c_List_Ozip(_u15532, _u15532), _u15538), _u15538)))) | ( _u15534 = _u15536) )).
% 20.36/20.63 cnf(matrix-6699, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15533), _u15535), hAPP(c_List_Oset(_u15533), _u15539))) | ( _u15535 != _u15537) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15533, _u15533)), hAPP(hAPP(c_Product__Type_OPair(_u15533, _u15533), _u15535), _u15537)), hAPP(c_List_Oset(tc_prod(_u15533, _u15533)), hAPP(hAPP(c_List_Ozip(_u15533, _u15533), _u15539), _u15539)))) )).
% 20.36/20.63 cnf(matrix-6700, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15540, _u15541)), hAPP(hAPP(c_Product__Type_OPair(_u15540, _u15541), _u15542), _u15543)), hAPP(c_List_Oset(tc_prod(_u15540, _u15541)), hAPP(hAPP(c_List_Ozip(_u15540, _u15541), _u15544), _u15545)))) | hBOOL(hAPP(hAPP(c_member(_u15540), _u15542), hAPP(c_List_Oset(_u15540), _u15544))) )).
% 20.36/20.63 cnf(matrix-6701, plain, ( hBOOL(hAPP(hAPP(c_member(_u15547), _u15549), hAPP(c_List_Oset(_u15547), _u15551))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15546, _u15547)), hAPP(hAPP(c_Product__Type_OPair(_u15546, _u15547), _u15548), _u15549)), hAPP(c_List_Oset(tc_prod(_u15546, _u15547)), hAPP(hAPP(c_List_Ozip(_u15546, _u15547), _u15550), _u15551)))) )).
% 20.36/20.63 cnf(matrix-6702, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15552, _u15553)), hAPP(hAPP(c_Product__Type_OPair(_u15552, _u15553), _u15554), _u15555)), hAPP(c_List_Oset(tc_prod(_u15552, _u15553)), hAPP(hAPP(c_List_Ozip(_u15552, _u15553), _u15556), _u15557)))) | hBOOL(hAPP(hAPP(c_member(_u15552), _u15554), hAPP(c_List_Oset(_u15552), _u15556))) )).
% 20.36/20.63 cnf(matrix-6703, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15552, _u15553)), hAPP(hAPP(c_Product__Type_OPair(_u15552, _u15553), _u15554), _u15555)), hAPP(c_List_Oset(tc_prod(_u15552, _u15553)), hAPP(hAPP(c_List_Ozip(_u15552, _u15553), _u15556), _u15557)))) | hBOOL(hAPP(hAPP(c_member(_u15553), _u15555), hAPP(c_List_Oset(_u15553), _u15557))) )).
% 20.36/20.63 cnf(matrix-6704, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15558), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15559)), _u15560))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15558), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15561)), _u15562))) | ( hAPP(hAPP(c_List_Onth(tc_prod(_u15559, _u15561)), hAPP(hAPP(c_List_Ozip(_u15559, _u15561), _u15560), _u15562)), _u15558) = hAPP(hAPP(c_Product__Type_OPair(_u15559, _u15561), hAPP(hAPP(c_List_Onth(_u15559), _u15560), _u15558)), hAPP(hAPP(c_List_Onth(_u15561), _u15562), _u15558))) )).
% 20.36/20.63 cnf(matrix-6705, plain, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u15563, _u15564) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15563), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u15564), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 20.36/20.63 cnf(matrix-6706, plain, ( ~class_Groups_Ocomm__monoid__add(_u15565) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15565), _u15566) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u15565), hAPP(c_List_Onth(_u15565), _u15566)), 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(_u15565)), _u15566)))) )).
% 20.36/20.63 cnf(matrix-6707, plain, ( ( hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u15567, _u15568)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u15567, _u15568)) )).
% 20.36/20.63 cnf(matrix-6708, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u15569, _u15570) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u15569, _u15570))) )).
% 20.36/20.63 cnf(matrix-6709, plain, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15574) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u15571), hAPP(c_List_Oset(tc_Nat_Onat), _u15574))) | ( _u15571 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.63 cnf(matrix-6710, plain, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15575) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem415(_u15575)), hAPP(c_List_Oset(tc_Nat_Onat), _u15575))) )).
% 20.36/20.63 cnf(matrix-6711, plain, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15575) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem415(_u15575) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.63 cnf(matrix-6712, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15576), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u15577))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u15577), _u15576)), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15577))) )).
% 20.36/20.63 cnf(matrix-6713, plain, ( ~class_Groups_Omonoid__add(_u15578) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15578), hAPP(hAPP(c_List_Olist_OCons(_u15578), _u15579), _u15580)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u15578), _u15579), hAPP(c_List_Omonoid__add__class_Olistsum(_u15578), _u15580))) )).
% 20.36/20.63 cnf(matrix-6714, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u15581), _u15582) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u15581, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u15582), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 20.36/20.63 cnf(matrix-6715, plain, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u15583, _u15584) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15583), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u15584))) )).
% 20.36/20.63 cnf(matrix-6716, plain, ( ~c_List_Onat__list(_u15586) | c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u15586)) )).
% 20.36/20.63 cnf(matrix-6717, plain, ( ~c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u15587)) | c_List_Onat__list(_u15587) )).
% 20.36/20.63 cnf(matrix-6718, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u15589, _u15591, _u15590)), c_List_Olist_Olist__size(_u15589, _u15592, _u15590))) | hBOOL(hAPP(hAPP(c_member(_u15589), skolem416(_u15592, _u15591, _u15590, _u15589)), hAPP(c_List_Oset(_u15589), _u15590))) )).
% 20.36/20.63 cnf(matrix-6719, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u15589, _u15591, _u15590)), c_List_Olist_Olist__size(_u15589, _u15592, _u15590))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u15591, skolem416(_u15592, _u15591, _u15590, _u15589))), hAPP(_u15592, skolem416(_u15592, _u15591, _u15590, _u15589)))) )).
% 20.36/20.63 cnf(matrix-6720, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15593), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u15594))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Olist__update(tc_Nat_Onat, _u15594), _u15593), _u15595)) = 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), _u15594)), _u15595)), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u15594), _u15593))) )).
% 20.36/20.63 cnf(matrix-6721, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15596), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15597)), _u15598))) | ( c_List_Obutlast(_u15597, hAPP(hAPP(c_List_Otake(_u15597), _u15596), _u15598)) = hAPP(hAPP(c_List_Otake(_u15597), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u15596), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u15598)) )).
% 20.36/20.63 cnf(matrix-6722, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15599)), _u15600)), _u15601)) | ( hAPP(hAPP(c_List_Olist__update(_u15599, _u15600), _u15601), _u15602) = _u15600) )).
% 20.36/20.63 cnf(matrix-6723, plain, ( ( _u15603 = _u15604) | ( hAPP(hAPP(c_List_Onth(_u15605), hAPP(hAPP(c_List_Olist__update(_u15605, _u15606), _u15603), _u15607)), _u15604) = hAPP(hAPP(c_List_Onth(_u15605), _u15606), _u15604)) )).
% 20.36/20.63 cnf(matrix-6724, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u15608, _u15609), _u15610), hAPP(hAPP(c_List_Onth(_u15608), _u15609), _u15610)) = _u15609) )).
% 20.36/20.63 cnf(matrix-6725, plain, ( ( _u15615 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15617)), _u15619)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u15617, hAPP(hAPP(c_List_Olist__update(_u15617, _u15619), _u15615), _u15621)) = c_List_Obutlast(_u15617, _u15619)) )).
% 20.36/20.63 cnf(matrix-6726, plain, ( ( _u15616 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15618)), _u15620)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u15618, hAPP(hAPP(c_List_Olist__update(_u15618, _u15620), _u15616), _u15622)) = hAPP(hAPP(c_List_Olist__update(_u15618, c_List_Obutlast(_u15618, _u15620)), _u15616), _u15622)) )).
% 20.36/20.63 cnf(matrix-6727, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15623)), hAPP(hAPP(c_List_Olist__update(_u15623, _u15624), _u15625), _u15626)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15623)), _u15624)) )).
% 20.36/20.63 cnf(matrix-6728, plain, ( ( hAPP(hAPP(c_List_Ozip(_u15627, _u15628), hAPP(hAPP(c_List_Olist__update(_u15627, _u15629), _u15630), _u15631)), hAPP(hAPP(c_List_Olist__update(_u15628, _u15632), _u15630), _u15633)) = hAPP(hAPP(c_List_Olist__update(tc_prod(_u15627, _u15628), hAPP(hAPP(c_List_Ozip(_u15627, _u15628), _u15629), _u15632)), _u15630), hAPP(hAPP(c_Product__Type_OPair(_u15627, _u15628), _u15631), _u15633))) )).
% 20.36/20.63 cnf(matrix-6729, plain, ( ( hAPP(hAPP(c_List_Olist__update(tc_prod(_u15634, _u15635), hAPP(hAPP(c_List_Ozip(_u15634, _u15635), _u15636), _u15637)), _u15638), _u15639) = hAPP(hAPP(c_List_Ozip(_u15634, _u15635), hAPP(hAPP(c_List_Olist__update(_u15634, _u15636), _u15638), hAPP(c_Product__Type_Ofst(_u15634, _u15635), _u15639))), hAPP(hAPP(c_List_Olist__update(_u15635, _u15637), _u15638), hAPP(c_Product__Type_Osnd(_u15634, _u15635), _u15639)))) )).
% 20.36/20.63 cnf(matrix-6730, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u15640, hAPP(hAPP(c_List_Olist__update(_u15640, _u15641), _u15642), _u15643)), _u15642), _u15644) = hAPP(hAPP(c_List_Olist__update(_u15640, _u15641), _u15642), _u15644)) )).
% 20.36/20.63 cnf(matrix-6731, plain, ( ( _u15645 = _u15646) | ( hAPP(hAPP(c_List_Olist__update(_u15647, hAPP(hAPP(c_List_Olist__update(_u15647, _u15648), _u15645), _u15649)), _u15646), _u15650) = hAPP(hAPP(c_List_Olist__update(_u15647, hAPP(hAPP(c_List_Olist__update(_u15647, _u15648), _u15646), _u15650)), _u15645), _u15649)) )).
% 20.36/20.63 cnf(matrix-6732, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u15651, hAPP(hAPP(c_List_Olist_OCons(_u15651), _u15652), _u15653)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u15654) = hAPP(hAPP(c_List_Olist_OCons(_u15651), _u15654), _u15653)) )).
% 20.36/20.63 cnf(matrix-6733, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u15655, hAPP(hAPP(c_List_Olist_OCons(_u15655), _u15656), _u15657)), hAPP(c_Nat_OSuc, _u15658)), _u15659) = hAPP(hAPP(c_List_Olist_OCons(_u15655), _u15656), hAPP(hAPP(c_List_Olist__update(_u15655, _u15657), _u15658), _u15659))) )).
% 20.36/20.63 cnf(matrix-6734, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u15660, hAPP(hAPP(c_List_Olist_OCons(_u15660), _u15661), _u15662)), _u15663), _u15664) = c_Nat_Onat_Onat__case(tc_List_Olist(_u15660), hAPP(hAPP(c_List_Olist_OCons(_u15660), _u15664), _u15662), hAPP(hAPP(c_COMBB(tc_List_Olist(_u15660), tc_List_Olist(_u15660), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u15660), _u15661)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u15660, tc_List_Olist(_u15660)), c_List_Olist__update(_u15660, _u15662)), _u15664)), _u15663)) )).
% 20.36/20.63 cnf(matrix-6735, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15665), _u15666), hAPP(c_List_Oset(_u15665), c_List_Obutlast(_u15665, _u15667)))) | hBOOL(hAPP(hAPP(c_member(_u15665), _u15666), hAPP(c_List_Oset(_u15665), _u15667))) )).
% 20.36/20.63 cnf(matrix-6736, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15668, tc_HOL_Obool)), hAPP(c_List_Oset(_u15668), _u15669)), _u15670)) | ~hBOOL(hAPP(hAPP(c_member(_u15668), _u15671), _u15670)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15668, tc_HOL_Obool)), hAPP(c_List_Oset(_u15668), hAPP(hAPP(c_List_Olist__update(_u15668, _u15669), _u15672), _u15671))), _u15670)) )).
% 20.36/20.63 cnf(matrix-6737, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15673, tc_HOL_Obool)), hAPP(c_List_Oset(_u15673), hAPP(hAPP(c_List_Olist__update(_u15673, _u15674), _u15675), _u15676))), hAPP(hAPP(c_Set_Oinsert(_u15673), _u15676), hAPP(c_List_Oset(_u15673), _u15674)))) )).
% 20.36/20.63 cnf(matrix-6738, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15677), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15678)), _u15679))) | ( _u15677 != _u15680) | ( hAPP(hAPP(c_List_Onth(_u15678), hAPP(hAPP(c_List_Olist__update(_u15678, _u15679), _u15677), _u15681)), _u15680) = _u15681) )).
% 20.36/20.63 cnf(matrix-6739, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15677), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15678)), _u15679))) | ( _u15677 = _u15680) | ( hAPP(hAPP(c_List_Onth(_u15678), hAPP(hAPP(c_List_Olist__update(_u15678, _u15679), _u15677), _u15681)), _u15680) = hAPP(hAPP(c_List_Onth(_u15678), _u15679), _u15680)) )).
% 20.36/20.63 cnf(matrix-6740, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15682), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15683)), _u15684))) | ( hAPP(hAPP(c_List_Olist__update(_u15683, _u15684), _u15682), _u15685) != _u15684) | ( hAPP(hAPP(c_List_Onth(_u15683), _u15684), _u15682) = _u15685) )).
% 20.36/20.63 cnf(matrix-6741, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15682), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15683)), _u15684))) | ( hAPP(hAPP(c_List_Onth(_u15683), _u15684), _u15682) != _u15685) | ( hAPP(hAPP(c_List_Olist__update(_u15683, _u15684), _u15682), _u15685) = _u15684) )).
% 20.36/20.63 cnf(matrix-6742, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15686), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15687)), _u15688))) | ( hAPP(hAPP(c_List_Onth(_u15687), hAPP(hAPP(c_List_Olist__update(_u15687, _u15688), _u15686), _u15689)), _u15686) = _u15689) )).
% 20.36/20.63 cnf(matrix-6743, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15690), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15691)), _u15692))) | ( hAPP(hAPP(c_List_Otake(_u15691), _u15690), c_List_Obutlast(_u15691, _u15692)) = hAPP(hAPP(c_List_Otake(_u15691), _u15690), _u15692)) )).
% 20.36/20.63 cnf(matrix-6744, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15693)), c_List_Obutlast(_u15693, _u15694)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15693)), _u15694)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 20.36/20.63 cnf(matrix-6745, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15695), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15696)), _u15697))) | hBOOL(hAPP(hAPP(c_member(_u15696), _u15698), hAPP(c_List_Oset(_u15696), hAPP(hAPP(c_List_Olist__update(_u15696, _u15697), _u15695), _u15698)))) )).
% 20.36/20.63 cnf(matrix-6746, plain, ( ( c_List_Obutlast(_u15699, _u15700) = hAPP(hAPP(c_List_Otake(_u15699), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15699)), _u15700)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u15700)) )).
% 20.36/20.63 cnf(matrix-6747, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15709), tc_List_Olist(_u15709))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15709), tc_List_Olist(_u15709)), _u15711), _u15713)), c_List_Olistrel1(_u15709, _u15715))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15709, _u15709)), hAPP(hAPP(c_Product__Type_OPair(_u15709, _u15709), hAPP(hAPP(c_List_Onth(_u15709), _u15711), skolem418(_u15715, _u15713, _u15711, _u15709))), skolem417(_u15715, _u15713, _u15711, _u15709))), _u15715)) )).
% 20.36/20.63 cnf(matrix-6748, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15709), tc_List_Olist(_u15709))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15709), tc_List_Olist(_u15709)), _u15711), _u15713)), c_List_Olistrel1(_u15709, _u15715))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem418(_u15715, _u15713, _u15711, _u15709)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15709)), _u15711))) )).
% 20.36/20.63 cnf(matrix-6749, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15709), tc_List_Olist(_u15709))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15709), tc_List_Olist(_u15709)), _u15711), _u15713)), c_List_Olistrel1(_u15709, _u15715))) | ( _u15713 = hAPP(hAPP(c_List_Olist__update(_u15709, _u15711), skolem418(_u15715, _u15713, _u15711, _u15709)), skolem417(_u15715, _u15713, _u15711, _u15709))) )).
% 20.36/20.63 cnf(matrix-6750, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15710, _u15710)), hAPP(hAPP(c_Product__Type_OPair(_u15710, _u15710), hAPP(hAPP(c_List_Onth(_u15710), _u15712), _u15703)), _u15704)), _u15716)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15703), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15710)), _u15712))) | ( _u15714 != hAPP(hAPP(c_List_Olist__update(_u15710, _u15712), _u15703), _u15704)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15710), tc_List_Olist(_u15710))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15710), tc_List_Olist(_u15710)), _u15712), _u15714)), c_List_Olistrel1(_u15710, _u15716))) )).
% 20.36/20.63 cnf(matrix-6751, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15717), _u15718)) | hBOOL(hAPP(hAPP(c_member(_u15717), _u15719), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15717, tc_HOL_Obool)), hAPP(c_List_Oset(_u15717), _u15718)), hAPP(hAPP(c_Set_Oinsert(_u15717), hAPP(hAPP(c_List_Onth(_u15717), _u15718), _u15720)), c_Orderings_Obot__class_Obot(tc_fun(_u15717, tc_HOL_Obool)))))) | hBOOL(hAPP(c_List_Odistinct(_u15717), hAPP(hAPP(c_List_Olist__update(_u15717, _u15718), _u15720), _u15719))) )).
% 20.36/20.63 cnf(matrix-6752, plain, ( hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint), c_List_Oupto(_u15721, _u15722))) )).
% 20.36/20.63 cnf(matrix-6753, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15723), _u15724)) | hBOOL(hAPP(c_List_Odistinct(_u15723), hAPP(hAPP(c_List_Otake(_u15723), _u15725), _u15724))) )).
% 20.36/20.63 cnf(matrix-6754, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15726), _u15727)) | hBOOL(hAPP(c_List_Odistinct(_u15726), c_List_Osublist(_u15726, _u15727, _u15728))) )).
% 20.36/20.63 cnf(matrix-6755, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15729), _u15730)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u15729, _u15731)), hAPP(hAPP(c_List_Ozip(_u15729, _u15731), _u15730), _u15732))) )).
% 20.36/20.63 cnf(matrix-6756, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15733), _u15734)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u15735, _u15733)), hAPP(hAPP(c_List_Ozip(_u15735, _u15733), _u15736), _u15734))) )).
% 20.36/20.63 cnf(matrix-6757, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15740), hAPP(hAPP(c_List_Olist_OCons(_u15740), _u15742), _u15744))) | ~hBOOL(hAPP(hAPP(c_member(_u15740), _u15742), hAPP(c_List_Oset(_u15740), _u15744))) )).
% 20.36/20.63 cnf(matrix-6758, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15740), hAPP(hAPP(c_List_Olist_OCons(_u15740), _u15742), _u15744))) | hBOOL(hAPP(c_List_Odistinct(_u15740), _u15744)) )).
% 20.36/20.63 cnf(matrix-6759, plain, ( hBOOL(hAPP(hAPP(c_member(_u15741), _u15743), hAPP(c_List_Oset(_u15741), _u15745))) | ~hBOOL(hAPP(c_List_Odistinct(_u15741), _u15745)) | hBOOL(hAPP(c_List_Odistinct(_u15741), hAPP(hAPP(c_List_Olist_OCons(_u15741), _u15743), _u15745))) )).
% 20.36/20.63 cnf(matrix-6760, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15746), _u15747)) | ( hAPP(c_Finite__Set_Ocard(_u15746), hAPP(c_List_Oset(_u15746), _u15747)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15746)), _u15747)) )).
% 20.36/20.63 cnf(matrix-6761, plain, ( ( hAPP(c_Finite__Set_Ocard(_u15748), hAPP(c_List_Oset(_u15748), _u15749)) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15748)), _u15749)) | hBOOL(hAPP(c_List_Odistinct(_u15748), _u15749)) )).
% 20.36/20.63 cnf(matrix-6762, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15756), _u15758)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15751), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15756)), _u15758))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15750), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15756)), _u15758))) | ( _u15751 = _u15750) | ( hAPP(hAPP(c_List_Onth(_u15756), _u15758), _u15751) != hAPP(hAPP(c_List_Onth(_u15756), _u15758), _u15750)) )).
% 20.36/20.63 cnf(matrix-6763, plain, ( hBOOL(hAPP(c_List_Odistinct(_u15757), _u15759)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem419(_u15759, _u15757)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15757)), _u15759))) )).
% 20.36/20.63 cnf(matrix-6764, plain, ( hBOOL(hAPP(c_List_Odistinct(_u15757), _u15759)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem420(_u15759, _u15757)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15757)), _u15759))) )).
% 20.36/20.63 cnf(matrix-6765, plain, ( hBOOL(hAPP(c_List_Odistinct(_u15757), _u15759)) | ( skolem419(_u15759, _u15757) != skolem420(_u15759, _u15757)) )).
% 20.36/20.63 cnf(matrix-6766, plain, ( hBOOL(hAPP(c_List_Odistinct(_u15757), _u15759)) | ( hAPP(hAPP(c_List_Onth(_u15757), _u15759), skolem419(_u15759, _u15757)) = hAPP(hAPP(c_List_Onth(_u15757), _u15759), skolem420(_u15759, _u15757))) )).
% 20.36/20.63 cnf(matrix-6767, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15760), _u15761)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15762), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15760)), _u15761))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15763), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15760)), _u15761))) | ( hAPP(hAPP(c_List_Onth(_u15760), _u15761), _u15762) != hAPP(hAPP(c_List_Onth(_u15760), _u15761), _u15763)) | ( _u15762 = _u15763) )).
% 20.36/20.63 cnf(matrix-6768, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15760), _u15761)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15762), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15760)), _u15761))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15763), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15760)), _u15761))) | ( _u15762 != _u15763) | ( hAPP(hAPP(c_List_Onth(_u15760), _u15761), _u15762) = hAPP(hAPP(c_List_Onth(_u15760), _u15761), _u15763)) )).
% 20.36/20.63 cnf(matrix-6769, plain, ( ~class_Groups_Ocomm__monoid__add(_u15764) | ~hBOOL(hAPP(c_List_Odistinct(_u15764), _u15765)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15764), _u15765) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15764, _u15764), c_COMBI(_u15764)), hAPP(c_List_Oset(_u15764), _u15765))) )).
% 20.36/20.63 cnf(matrix-6770, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15768), _u15770)) | ( c_Nitpick_Ocard_H(_u15768, _u15770) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15768)), c_Hilbert__Choice_OEps(tc_List_Olist(_u15768), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15768), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15768)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15768), tc_fun(_u15768, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15768, tc_HOL_Obool), tc_fun(tc_fun(_u15768, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15768)), c_fequal), c_List_Oset(_u15768))), _u15770))), c_List_Odistinct(_u15768))))) )).
% 20.36/20.63 cnf(matrix-6771, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u15769), _u15771)) | ( c_Nitpick_Ocard_H(_u15769, _u15771) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.63 cnf(matrix-6772, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15773), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15774)), _u15775))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15773), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15774)), _u15776))) | ( hAPP(hAPP(c_List_Otake(_u15774), _u15773), _u15775) = hAPP(hAPP(c_List_Otake(_u15774), _u15773), _u15776)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem421(_u15776, _u15775, _u15774, _u15773)), _u15773)) )).
% 20.36/20.63 cnf(matrix-6773, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15773), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15774)), _u15775))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15773), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15774)), _u15776))) | ( hAPP(hAPP(c_List_Otake(_u15774), _u15773), _u15775) = hAPP(hAPP(c_List_Otake(_u15774), _u15773), _u15776)) | ( hAPP(hAPP(c_List_Onth(_u15774), _u15775), skolem421(_u15776, _u15775, _u15774, _u15773)) != hAPP(hAPP(c_List_Onth(_u15774), _u15776), skolem421(_u15776, _u15775, _u15774, _u15773))) )).
% 20.36/20.63 cnf(matrix-6774, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15777), _u15778)) | ( hAPP(c_List_Oset(_u15777), c_List_Oremove1(_u15777, _u15779, _u15778)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15777, tc_HOL_Obool)), hAPP(c_List_Oset(_u15777), _u15778)), hAPP(hAPP(c_Set_Oinsert(_u15777), _u15779), c_Orderings_Obot__class_Obot(tc_fun(_u15777, tc_HOL_Obool))))) )).
% 20.36/20.63 cnf(matrix-6775, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15784) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u15786), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15784)), hAPP(hAPP(c_List_Olist_OCons(_u15786), _u15788), _u15790)) = c_List_Olist_ONil(_u15786)) )).
% 20.36/20.63 cnf(matrix-6776, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15785) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u15787), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15785)), hAPP(hAPP(c_List_Olist_OCons(_u15787), _u15789), _u15791)) = hAPP(hAPP(c_List_Olist_OCons(_u15787), _u15789), hAPP(hAPP(c_List_Otake(_u15787), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15785)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u15791))) )).
% 20.36/20.63 cnf(matrix-6777, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15792)), c_List_Olist_ONil(_u15792)), c_List_Olists(_u15792, _u15793))) )).
% 20.36/20.63 cnf(matrix-6778, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15794), tc_List_Olist(_u15794))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15794), tc_List_Olist(_u15794)), c_List_Olist_ONil(_u15794)), _u15795)), c_List_Olistrel(_u15794, _u15796))) | ( _u15795 = c_List_Olist_ONil(_u15794)) )).
% 20.36/20.63 cnf(matrix-6779, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15797), tc_List_Olist(_u15797))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15797), tc_List_Olist(_u15797)), _u15798), c_List_Olist_ONil(_u15797))), c_List_Olistrel(_u15797, _u15799))) | ( _u15798 = c_List_Olist_ONil(_u15797)) )).
% 20.36/20.63 cnf(matrix-6780, plain, ( ( _u15800 = c_List_Olist_ONil(_u15801)) | ~hBOOL(hAPP(c_List_Odistinct(_u15801), _u15800)) | hBOOL(hAPP(c_List_Odistinct(_u15801), c_List_Obutlast(_u15801, _u15800))) )).
% 20.36/20.63 cnf(matrix-6781, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15802), _u15803)) | hBOOL(hAPP(c_List_Odistinct(_u15802), c_List_Oremove1(_u15802, _u15804, _u15803))) )).
% 20.36/20.63 cnf(matrix-6782, plain, ( hBOOL(hAPP(c_List_Odistinct(_u15805), c_List_Olist_ONil(_u15805))) )).
% 20.36/20.63 cnf(matrix-6783, plain, ( ( c_List_Obutlast(_u15806, c_List_Olist_ONil(_u15806)) = c_List_Olist_ONil(_u15806)) )).
% 20.36/20.63 cnf(matrix-6784, plain, ( ( _u15810 != c_List_Olist_ONil(_u15812)) | ( c_List_Obutlast(_u15812, hAPP(hAPP(c_List_Olist_OCons(_u15812), _u15814), _u15810)) = c_List_Olist_ONil(_u15812)) )).
% 20.36/20.63 cnf(matrix-6785, plain, ( ( _u15811 = c_List_Olist_ONil(_u15813)) | ( c_List_Obutlast(_u15813, hAPP(hAPP(c_List_Olist_OCons(_u15813), _u15815), _u15811)) = hAPP(hAPP(c_List_Olist_OCons(_u15813), _u15815), c_List_Obutlast(_u15813, _u15811))) )).
% 20.36/20.63 cnf(matrix-6786, plain, ( ( c_List_Olist_ONil(_u15816) != hAPP(hAPP(c_List_Olist_OCons(_u15816), _u15817), _u15818)) )).
% 20.36/20.63 cnf(matrix-6787, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15819), _u15820), _u15821) != c_List_Olist_ONil(_u15819)) )).
% 20.36/20.63 cnf(matrix-6788, plain, ( ( _u15826 != _u15828) | ( c_List_Oremove1(_u15830, _u15826, hAPP(hAPP(c_List_Olist_OCons(_u15830), _u15828), _u15832)) = _u15832) )).
% 20.36/20.63 cnf(matrix-6789, plain, ( ( _u15827 = _u15829) | ( c_List_Oremove1(_u15831, _u15827, hAPP(hAPP(c_List_Olist_OCons(_u15831), _u15829), _u15833)) = hAPP(hAPP(c_List_Olist_OCons(_u15831), _u15829), c_List_Oremove1(_u15831, _u15827, _u15833))) )).
% 20.36/20.63 cnf(matrix-6790, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u15834), _u15835)) | ( c_List_Oupto(_u15835, _u15834) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 20.36/20.63 cnf(matrix-6791, plain, ( ( hAPP(hAPP(c_List_Otake(_u15839), _u15841), _u15843) != c_List_Olist_ONil(_u15839)) | ( _u15841 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u15843 = c_List_Olist_ONil(_u15839)) )).
% 20.36/20.63 cnf(matrix-6792, plain, ( ( hAPP(hAPP(c_List_Otake(_u15840), _u15842), _u15844) = c_List_Olist_ONil(_u15840)) | ( _u15842 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.63 cnf(matrix-6793, plain, ( ( hAPP(hAPP(c_List_Otake(_u15840), _u15842), _u15844) = c_List_Olist_ONil(_u15840)) | ( _u15844 != c_List_Olist_ONil(_u15840)) )).
% 20.36/20.63 cnf(matrix-6794, plain, ( ( hAPP(hAPP(c_List_Otake(_u15845), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u15846) = c_List_Olist_ONil(_u15845)) )).
% 20.36/20.63 cnf(matrix-6795, plain, ( ( hAPP(hAPP(c_List_Otake(_u15847), _u15848), c_List_Olist_ONil(_u15847)) = c_List_Olist_ONil(_u15847)) )).
% 20.36/20.63 cnf(matrix-6796, plain, ( ( c_List_Osublist(_u15849, c_List_Olist_ONil(_u15849), _u15850) = c_List_Olist_ONil(_u15849)) )).
% 20.36/20.63 cnf(matrix-6797, plain, ( ( c_List_Oremove1(_u15851, _u15852, c_List_Oremove1(_u15851, _u15853, _u15854)) = c_List_Oremove1(_u15851, _u15853, c_List_Oremove1(_u15851, _u15852, _u15854))) )).
% 20.36/20.63 cnf(matrix-6798, plain, ( ( c_List_Oremove1(_u15855, _u15856, c_List_Olist_ONil(_u15855)) = c_List_Olist_ONil(_u15855)) )).
% 20.36/20.63 cnf(matrix-6799, plain, ( c_List_Olistrelp(_u15857, _u15858, c_List_Olist_ONil(_u15857), c_List_Olist_ONil(_u15857)) )).
% 20.36/20.63 cnf(matrix-6800, plain, ( c_List_Olistrelp(_u15859, _u15860, c_List_Olist_ONil(_u15859), c_List_Olist_ONil(_u15859)) )).
% 20.36/20.63 cnf(matrix-6801, plain, ( ( hAPP(hAPP(c_List_Ozip(_u15861, _u15862), c_List_Olist_ONil(_u15861)), _u15863) = c_List_Olist_ONil(tc_prod(_u15861, _u15862))) )).
% 20.36/20.63 cnf(matrix-6802, plain, ( ( hAPP(hAPP(c_List_Ozip(_u15864, _u15865), _u15866), c_List_Olist_ONil(_u15865)) = c_List_Olist_ONil(tc_prod(_u15864, _u15865))) )).
% 20.36/20.63 cnf(matrix-6803, plain, ( ( c_List_Olist_Olist__size(_u15867, _u15868, c_List_Olist_ONil(_u15867)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.63 cnf(matrix-6804, plain, ( ~class_Groups_Omonoid__add(_u15869) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15869), c_List_Olist_ONil(_u15869)) = c_Groups_Ozero__class_Ozero(_u15869)) )).
% 20.36/20.63 cnf(matrix-6805, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15870)), c_List_Olist_ONil(_u15870)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.63 cnf(matrix-6806, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15873)), _u15875) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u15875 = c_List_Olist_ONil(_u15873)) )).
% 20.36/20.63 cnf(matrix-6807, plain, ( ( _u15876 != c_List_Olist_ONil(_u15874)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15874)), _u15876) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.63 cnf(matrix-6808, plain, ( ( hAPP(c_List_Oset(_u15879), _u15881) != c_Orderings_Obot__class_Obot(tc_fun(_u15879, tc_HOL_Obool))) | ( _u15881 = c_List_Olist_ONil(_u15879)) )).
% 20.36/20.63 cnf(matrix-6809, plain, ( ( _u15882 != c_List_Olist_ONil(_u15880)) | ( hAPP(c_List_Oset(_u15880), _u15882) = c_Orderings_Obot__class_Obot(tc_fun(_u15880, tc_HOL_Obool))) )).
% 20.36/20.63 cnf(matrix-6810, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u15885, tc_HOL_Obool)) != hAPP(c_List_Oset(_u15885), _u15887)) | ( _u15887 = c_List_Olist_ONil(_u15885)) )).
% 20.36/20.63 cnf(matrix-6811, plain, ( ( _u15888 != c_List_Olist_ONil(_u15886)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u15886, tc_HOL_Obool)) = hAPP(c_List_Oset(_u15886), _u15888)) )).
% 20.36/20.63 cnf(matrix-6812, plain, ( ( hAPP(c_List_Oset(_u15889), c_List_Olist_ONil(_u15889)) = c_Orderings_Obot__class_Obot(tc_fun(_u15889, tc_HOL_Obool))) )).
% 20.36/20.63 cnf(matrix-6813, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u15890, c_List_Olist_ONil(_u15890)), _u15891), _u15892) = c_List_Olist_ONil(_u15890)) )).
% 20.36/20.63 cnf(matrix-6814, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u15893, c_List_Olist_ONil(_u15893)), _u15894), _u15895) = c_List_Olist_ONil(_u15893)) )).
% 20.36/20.63 cnf(matrix-6815, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u15900, _u15902), _u15904), _u15906) != c_List_Olist_ONil(_u15900)) | ( _u15902 = c_List_Olist_ONil(_u15900)) )).
% 20.36/20.63 cnf(matrix-6816, plain, ( ( _u15903 != c_List_Olist_ONil(_u15901)) | ( hAPP(hAPP(c_List_Olist__update(_u15901, _u15903), _u15905), _u15907) = c_List_Olist_ONil(_u15901)) )).
% 20.36/20.63 cnf(matrix-6817, plain, ( hBOOL(hAPP(hAPP(c_member(_u15908), _u15909), hAPP(c_List_Oset(_u15908), _u15910))) | ( c_List_Oremove1(_u15908, _u15909, _u15910) = _u15910) )).
% 20.36/20.63 cnf(matrix-6818, plain, ( hBOOL(hAPP(hAPP(c_member(_u15911), _u15912), hAPP(c_List_Oset(_u15911), _u15913))) | ~hBOOL(hAPP(hAPP(c_member(_u15911), _u15912), hAPP(c_List_Oset(_u15911), c_List_Oremove1(_u15911, _u15914, _u15913)))) )).
% 20.36/20.63 cnf(matrix-6819, plain, ( ( _u15915 = _u15916) | ~hBOOL(hAPP(hAPP(c_member(_u15917), _u15915), hAPP(c_List_Oset(_u15917), c_List_Oremove1(_u15917, _u15916, _u15918)))) | hBOOL(hAPP(hAPP(c_member(_u15917), _u15915), hAPP(c_List_Oset(_u15917), _u15918))) )).
% 20.36/20.63 cnf(matrix-6820, plain, ( ( _u15915 = _u15916) | ~hBOOL(hAPP(hAPP(c_member(_u15917), _u15915), hAPP(c_List_Oset(_u15917), _u15918))) | hBOOL(hAPP(hAPP(c_member(_u15917), _u15915), hAPP(c_List_Oset(_u15917), c_List_Oremove1(_u15917, _u15916, _u15918)))) )).
% 20.36/20.63 cnf(matrix-6821, plain, ( ( c_List_Osublist(_u15919, _u15920, c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) = c_List_Olist_ONil(_u15919)) )).
% 20.36/20.63 cnf(matrix-6822, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15921, tc_HOL_Obool)), hAPP(c_List_Oset(_u15921), c_List_Oremove1(_u15921, _u15922, _u15923))), hAPP(c_List_Oset(_u15921), _u15923))) )).
% 20.36/20.63 cnf(matrix-6823, 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(_u15926)), _u15928))) | ( _u15928 != c_List_Olist_ONil(_u15926)) )).
% 20.36/20.63 cnf(matrix-6824, plain, ( ( _u15929 = c_List_Olist_ONil(_u15927)) | 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(_u15927)), _u15929))) )).
% 20.36/20.63 cnf(matrix-6825, plain, ( ( hAPP(hAPP(c_List_Otake(_u15930), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u15930), _u15931), _u15932)) = hAPP(hAPP(c_List_Olist_OCons(_u15930), _u15931), c_List_Olist_ONil(_u15930))) )).
% 20.36/20.63 cnf(matrix-6826, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15933), tc_List_Olist(_u15933))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15933), tc_List_Olist(_u15933)), c_List_Olist_ONil(_u15933)), _u15934)), c_List_Olistrel1(_u15933, _u15935))) )).
% 20.36/20.63 cnf(matrix-6827, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15936), tc_List_Olist(_u15936))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15936), tc_List_Olist(_u15936)), _u15937), c_List_Olist_ONil(_u15936))), c_List_Olistrel1(_u15936, _u15938))) )).
% 20.36/20.63 cnf(matrix-6828, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15939), tc_List_Olist(_u15939))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15939), tc_List_Olist(_u15939)), c_List_Olist_ONil(_u15939)), c_List_Olist_ONil(_u15939))), c_List_Olistrel(_u15939, _u15940))) )).
% 20.36/20.63 cnf(matrix-6829, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15941), tc_List_Olist(_u15941))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15941), tc_List_Olist(_u15941)), _u15942), c_List_Olist_ONil(_u15941))), c_List_Olexord(_u15941, _u15943))) )).
% 20.36/20.63 cnf(matrix-6830, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15944), tc_List_Olist(_u15944))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15944), tc_List_Olist(_u15944)), c_List_Olist_ONil(_u15944)), _u15945)), c_List_Olex(_u15944, _u15946))) )).
% 20.36/20.63 cnf(matrix-6831, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15947), tc_List_Olist(_u15947))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15947), tc_List_Olist(_u15947)), _u15948), c_List_Olist_ONil(_u15947))), c_List_Olex(_u15947, _u15949))) )).
% 20.36/20.63 cnf(matrix-6832, plain, ( ( hAPP(hAPP(c_List_Otake(_u15950), _u15951), hAPP(hAPP(c_List_Olist_OCons(_u15950), _u15952), _u15953)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u15950), c_List_Olist_ONil(_u15950), hAPP(hAPP(c_COMBB(tc_List_Olist(_u15950), tc_List_Olist(_u15950), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u15950), _u15952)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u15950), tc_List_Olist(_u15950)), c_List_Otake(_u15950)), _u15953)), _u15951)) )).
% 20.36/20.63 cnf(matrix-6833, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u15956), _u15958)) | ( c_List_Oupto(_u15956, _u15958) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u15956), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15956), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u15958))) )).
% 20.36/20.63 cnf(matrix-6834, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u15957), _u15959)) | ( c_List_Oupto(_u15957, _u15959) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 20.36/20.63 cnf(matrix-6835, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u15963)) | ( c_List_Osublist(_u15965, hAPP(hAPP(c_List_Olist_OCons(_u15965), _u15967), c_List_Olist_ONil(_u15965)), _u15963) = hAPP(hAPP(c_List_Olist_OCons(_u15965), _u15967), c_List_Olist_ONil(_u15965))) )).
% 20.36/20.63 cnf(matrix-6836, plain, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u15964)) | ( c_List_Osublist(_u15966, hAPP(hAPP(c_List_Olist_OCons(_u15966), _u15968), c_List_Olist_ONil(_u15966)), _u15964) = c_List_Olist_ONil(_u15966)) )).
% 20.36/20.63 cnf(matrix-6837, plain, ( ( c_List_Olists(_u15969, c_Orderings_Obot__class_Obot(tc_fun(_u15969, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15969)), c_List_Olist_ONil(_u15969)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15969), tc_HOL_Obool)))) )).
% 20.36/20.63 cnf(matrix-6838, plain, ( ( _u15974 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u15976), _u15974), hAPP(hAPP(c_List_Olist_OCons(_u15976), _u15978), _u15980)) = c_List_Olist_ONil(_u15976)) )).
% 20.36/20.63 cnf(matrix-6839, plain, ( ( _u15975 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u15977), _u15975), hAPP(hAPP(c_List_Olist_OCons(_u15977), _u15979), _u15981)) = hAPP(hAPP(c_List_Olist_OCons(_u15977), _u15979), hAPP(hAPP(c_List_Otake(_u15977), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u15975), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u15981))) )).
% 20.36/20.63 cnf(matrix-6840, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15984)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15986))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15984), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15986)) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15984)), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15984)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15986)))) )).
% 20.36/20.63 cnf(matrix-6841, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15985)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15987))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15985), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15987)) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 20.36/20.63 cnf(matrix-6842, plain, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u15988), tc_List_Olist(_u15988), c_List_Olistrel(_u15988, _u15989)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15988)), c_List_Olist_ONil(_u15988)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15988), tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15988)), c_List_Olist_ONil(_u15988)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15988), tc_HOL_Obool)))) )).
% 20.36/20.63 cnf(matrix-6843, plain, ( ( c_List_Oset__Cons(_u15990, _u15991, hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15990)), c_List_Olist_ONil(_u15990)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15990), tc_HOL_Obool)))) = hAPP(c_Set_Oimage(_u15990, tc_List_Olist(_u15990), hAPP(hAPP(c_COMBC(_u15990, tc_List_Olist(_u15990), tc_List_Olist(_u15990)), c_List_Olist_OCons(_u15990)), c_List_Olist_ONil(_u15990))), _u15991)) )).
% 20.36/20.63 cnf(matrix-6844, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15995), _u15997), hAPP(c_List_Oset(_u15995), _u15999))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15995)), c_List_Oremove1(_u15995, _u15997, _u15999)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15995)), _u15999)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 20.36/20.63 cnf(matrix-6845, plain, ( hBOOL(hAPP(hAPP(c_member(_u15996), _u15998), hAPP(c_List_Oset(_u15996), _u16000))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15996)), c_List_Oremove1(_u15996, _u15998, _u16000)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15996)), _u16000)) )).
% 20.36/20.63 cnf(matrix-6846, 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), _u16001), _u16002))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u16001), _u16002)) | ( c_List_Oupto(_u16001, _u16002) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u16001), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u16001), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u16002))) )).
% 20.36/20.63 cnf(matrix-6847, 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), _u16001), _u16002))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u16001), _u16002)) | ( c_List_Oupto(_u16001, _u16002) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 20.36/20.63 cnf(matrix-6848, plain, ( ( _u16003 = c_List_Olist_ONil(_u16004)) | hBOOL(hAPP(hAPP(c_member(_u16004), hAPP(c_Product__Type_Ofst(_u16004, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect(_u16004, _u16003), _u16005))), hAPP(c_List_Oset(_u16004), _u16003))) )).
% 20.36/20.63 cnf(matrix-6849, plain, ( ( c_List_Olistset(_u16006, c_List_Olist_ONil(tc_fun(_u16006, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u16006)), c_List_Olist_ONil(_u16006)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u16006), tc_HOL_Obool)))) )).
% 20.36/20.63 cnf(matrix-6850, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16007, _u16008), hAPP(hAPP(c_List_Olist_OCons(_u16007), _u16009), _u16010)), _u16011) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u16007, _u16008)), _u16008, c_List_Olist_ONil(tc_prod(_u16007, _u16008)), hAPP(hAPP(c_COMBC(_u16008, tc_fun(tc_List_Olist(_u16008), tc_List_Olist(tc_prod(_u16007, _u16008))), tc_fun(tc_List_Olist(_u16008), tc_List_Olist(tc_prod(_u16007, _u16008)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u16007, _u16008)), tc_List_Olist(tc_prod(_u16007, _u16008))), tc_fun(tc_fun(tc_List_Olist(_u16008), tc_List_Olist(tc_prod(_u16007, _u16008))), tc_fun(tc_List_Olist(_u16008), tc_List_Olist(tc_prod(_u16007, _u16008)))), _u16008), c_COMBB(tc_List_Olist(tc_prod(_u16007, _u16008)), tc_List_Olist(tc_prod(_u16007, _u16008)), tc_List_Olist(_u16008))), hAPP(hAPP(c_COMBB(tc_prod(_u16007, _u16008), tc_fun(tc_List_Olist(tc_prod(_u16007, _u16008)), tc_List_Olist(tc_prod(_u16007, _u16008))), _u16008), c_List_Olist_OCons(tc_prod(_u16007, _u16008))), hAPP(c_Product__Type_OPair(_u16007, _u16008), _u16009)))), hAPP(c_List_Ozip(_u16007, _u16008), _u16010))), _u16011)) )).
% 20.36/20.63 cnf(matrix-6851, plain, ( ( hAPP(c_List_Olist_Olist__case(_u16012, _u16013, _u16014, _u16015), hAPP(hAPP(c_List_Olist_OCons(_u16013), _u16016), _u16017)) = hAPP(hAPP(_u16015, _u16016), _u16017)) )).
% 20.36/20.63 cnf(matrix-6852, plain, ( ( hAPP(c_List_Olist_Olist__case(_u16018, _u16019, _u16020, _u16021), c_List_Olist_ONil(_u16019)) = _u16020) )).
% 20.36/20.63 cnf(matrix-6853, plain, ( ( c_List_Olistset(_u16022, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u16022, tc_HOL_Obool)), _u16023), _u16024)) = c_List_Oset__Cons(_u16022, _u16023, c_List_Olistset(_u16022, _u16024))) )).
% 20.36/20.63 cnf(matrix-6854, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16025, _u16026), _u16027), hAPP(hAPP(c_List_Olist_OCons(_u16026), _u16028), _u16029)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u16025, _u16026)), _u16025, c_List_Olist_ONil(tc_prod(_u16025, _u16026)), hAPP(hAPP(c_COMBC(_u16025, tc_fun(tc_List_Olist(_u16025), tc_List_Olist(tc_prod(_u16025, _u16026))), tc_fun(tc_List_Olist(_u16025), tc_List_Olist(tc_prod(_u16025, _u16026)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u16025, _u16026)), tc_List_Olist(tc_prod(_u16025, _u16026))), tc_fun(tc_fun(tc_List_Olist(_u16025), tc_List_Olist(tc_prod(_u16025, _u16026))), tc_fun(tc_List_Olist(_u16025), tc_List_Olist(tc_prod(_u16025, _u16026)))), _u16025), c_COMBB(tc_List_Olist(tc_prod(_u16025, _u16026)), tc_List_Olist(tc_prod(_u16025, _u16026)), tc_List_Olist(_u16025))), hAPP(hAPP(c_COMBB(tc_prod(_u16025, _u16026), tc_fun(tc_List_Olist(tc_prod(_u16025, _u16026)), tc_List_Olist(tc_prod(_u16025, _u16026))), _u16025), c_List_Olist_OCons(tc_prod(_u16025, _u16026))), hAPP(hAPP(c_COMBC(_u16025, _u16026, tc_prod(_u16025, _u16026)), c_Product__Type_OPair(_u16025, _u16026)), _u16028)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16025), tc_List_Olist(_u16026), tc_List_Olist(tc_prod(_u16025, _u16026))), c_List_Ozip(_u16025, _u16026)), _u16029))), _u16027)) )).
% 20.36/20.63 cnf(matrix-6855, plain, ( ~class_Orderings_Olinorder(_u16030) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16030), _u16031)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u16030, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16030, tc_HOL_Obool)), _u16031), hAPP(hAPP(c_Set_Oinsert(_u16030), _u16032), c_Orderings_Obot__class_Obot(tc_fun(_u16030, tc_HOL_Obool))))) = c_List_Oremove1(_u16030, _u16032, c_List_Olinorder__class_Osorted__list__of__set(_u16030, _u16031))) )).
% 20.36/20.63 cnf(matrix-6856, 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), _u16035), _u16036))) | hBOOL(hAPP(hAPP(_u16037, _u16035), _u16036)) | 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), skolem422(_u16037, _u16036, _u16035)), skolem423(_u16037, _u16036, _u16035)))) )).
% 20.36/20.63 cnf(matrix-6857, 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), _u16035), _u16036))) | hBOOL(hAPP(hAPP(_u16037, _u16035), _u16036)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem422(_u16037, _u16036, _u16035)), skolem423(_u16037, _u16036, _u16035))) | hBOOL(hAPP(hAPP(_u16037, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem422(_u16037, _u16036, _u16035)), c_Groups_Oone__class_Oone(tc_Int_Oint))), skolem423(_u16037, _u16036, _u16035))) )).
% 20.36/20.63 cnf(matrix-6858, 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), _u16035), _u16036))) | hBOOL(hAPP(hAPP(_u16037, _u16035), _u16036)) | ~hBOOL(hAPP(hAPP(_u16037, skolem422(_u16037, _u16036, _u16035)), skolem423(_u16037, _u16036, _u16035))) )).
% 20.36/20.63 cnf(matrix-6859, plain, ( ~class_Orderings_Olinorder(_u16038) | ( c_List_Olinorder__class_Osorted__list__of__set(_u16038, c_Orderings_Obot__class_Obot(tc_fun(_u16038, tc_HOL_Obool))) = c_List_Olist_ONil(_u16038)) )).
% 20.36/20.63 cnf(matrix-6860, plain, ( ( _u16044 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(hAPP(c_Lazy__Sequence_Oanamorph(_u16046, _u16048, _u16050), _u16044), _u16052) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16048), _u16046), c_List_Olist_ONil(_u16048)), _u16052)) )).
% 20.36/20.63 cnf(matrix-6861, plain, ( ( _u16045 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(hAPP(c_Lazy__Sequence_Oanamorph(_u16047, _u16049, _u16051), _u16045), _u16053) = c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(_u16049), _u16047), tc_prod(_u16049, _u16047), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16049), _u16047), c_List_Olist_ONil(_u16049)), _u16053), hAPP(c_Product__Type_Oprod_Oprod__case(_u16049, _u16047, tc_prod(tc_List_Olist(_u16049), _u16047)), hAPP(hAPP(c_COMBC(_u16049, tc_fun(_u16047, tc_prod(tc_List_Olist(_u16049), _u16047)), tc_fun(_u16047, tc_prod(tc_List_Olist(_u16049), _u16047))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(_u16049), _u16047), tc_prod(tc_List_Olist(_u16049), _u16047)), tc_fun(tc_fun(_u16047, tc_prod(tc_List_Olist(_u16049), _u16047)), tc_fun(_u16047, tc_prod(tc_List_Olist(_u16049), _u16047))), _u16049), c_COMBB(tc_prod(tc_List_Olist(_u16049), _u16047), tc_prod(tc_List_Olist(_u16049), _u16047), _u16047)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u16049), tc_fun(_u16047, tc_prod(tc_List_Olist(_u16049), _u16047))), tc_fun(tc_prod(tc_List_Olist(_u16049), _u16047), tc_prod(tc_List_Olist(_u16049), _u16047)), _u16049), c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u16049), _u16047, tc_prod(tc_List_Olist(_u16049), _u16047))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u16049), tc_List_Olist(_u16049)), tc_fun(tc_List_Olist(_u16049), tc_fun(_u16047, tc_prod(tc_List_Olist(_u16049), _u16047))), _u16049), hAPP(c_COMBB(tc_List_Olist(_u16049), tc_fun(_u16047, tc_prod(tc_List_Olist(_u16049), _u16047)), tc_List_Olist(_u16049)), c_Product__Type_OPair(tc_List_Olist(_u16049), _u16047))), c_List_Olist_OCons(_u16049))))), hAPP(c_Lazy__Sequence_Oanamorph(_u16047, _u16049, _u16051), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u16045), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))))), hAPP(_u16051, _u16053))) )).
% 20.36/20.63 cnf(matrix-6862, plain, ( ( c_List_Osublist(_u16054, hAPP(hAPP(c_List_Olist_OCons(_u16054), _u16055), _u16056), _u16057) = hAPP(hAPP(c_List_Oappend(_u16054), hAPP(hAPP(hAPP(c_If(tc_List_Olist(_u16054)), hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16057)), hAPP(hAPP(c_List_Olist_OCons(_u16054), _u16055), c_List_Olist_ONil(_u16054))), c_List_Olist_ONil(_u16054))), c_List_Osublist(_u16054, _u16056, 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)), _u16057))))) )).
% 20.36/20.63 cnf(matrix-6863, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16065), _u16067), _u16069) != hAPP(hAPP(c_List_Olist_OCons(_u16065), _u16071), _u16073)) | ( _u16067 = c_List_Olist_ONil(_u16065)) | ( _u16067 = hAPP(hAPP(c_List_Olist_OCons(_u16065), _u16071), skolem424(_u16073, _u16071, _u16069, _u16067, _u16065))) )).
% 20.36/20.63 cnf(matrix-6864, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16065), _u16067), _u16069) != hAPP(hAPP(c_List_Olist_OCons(_u16065), _u16071), _u16073)) | ( _u16067 = c_List_Olist_ONil(_u16065)) | ( hAPP(hAPP(c_List_Oappend(_u16065), skolem424(_u16073, _u16071, _u16069, _u16067, _u16065)), _u16069) = _u16073) )).
% 20.36/20.63 cnf(matrix-6865, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16065), _u16067), _u16069) != hAPP(hAPP(c_List_Olist_OCons(_u16065), _u16071), _u16073)) | ( _u16069 = hAPP(hAPP(c_List_Olist_OCons(_u16065), _u16071), _u16073)) | ( _u16067 = hAPP(hAPP(c_List_Olist_OCons(_u16065), _u16071), skolem424(_u16073, _u16071, _u16069, _u16067, _u16065))) )).
% 20.36/20.63 cnf(matrix-6866, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16065), _u16067), _u16069) != hAPP(hAPP(c_List_Olist_OCons(_u16065), _u16071), _u16073)) | ( _u16069 = hAPP(hAPP(c_List_Olist_OCons(_u16065), _u16071), _u16073)) | ( hAPP(hAPP(c_List_Oappend(_u16065), skolem424(_u16073, _u16071, _u16069, _u16067, _u16065)), _u16069) = _u16073) )).
% 20.36/20.63 cnf(matrix-6867, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16066), _u16068), _u16070) = hAPP(hAPP(c_List_Olist_OCons(_u16066), _u16072), _u16074)) | ( _u16068 != c_List_Olist_ONil(_u16066)) | ( _u16070 != hAPP(hAPP(c_List_Olist_OCons(_u16066), _u16072), _u16074)) )).
% 20.36/20.63 cnf(matrix-6868, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16066), _u16068), _u16070) = hAPP(hAPP(c_List_Olist_OCons(_u16066), _u16072), _u16074)) | ( _u16068 != hAPP(hAPP(c_List_Olist_OCons(_u16066), _u16072), _u16059)) | ( hAPP(hAPP(c_List_Oappend(_u16066), _u16059), _u16070) != _u16074) )).
% 20.36/20.63 cnf(matrix-6869, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16082), _u16084), _u16086) != hAPP(hAPP(c_List_Oappend(_u16082), _u16088), _u16090)) | ( _u16088 = c_List_Olist_ONil(_u16082)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16082), _u16084), skolem425(_u16090, _u16088, _u16086, _u16084, _u16082)) = _u16088) )).
% 20.36/20.63 cnf(matrix-6870, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16082), _u16084), _u16086) != hAPP(hAPP(c_List_Oappend(_u16082), _u16088), _u16090)) | ( _u16088 = c_List_Olist_ONil(_u16082)) | ( _u16086 = hAPP(hAPP(c_List_Oappend(_u16082), skolem425(_u16090, _u16088, _u16086, _u16084, _u16082)), _u16090)) )).
% 20.36/20.63 cnf(matrix-6871, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16082), _u16084), _u16086) != hAPP(hAPP(c_List_Oappend(_u16082), _u16088), _u16090)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16082), _u16084), _u16086) = _u16090) | ( hAPP(hAPP(c_List_Olist_OCons(_u16082), _u16084), skolem425(_u16090, _u16088, _u16086, _u16084, _u16082)) = _u16088) )).
% 20.36/20.63 cnf(matrix-6872, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16082), _u16084), _u16086) != hAPP(hAPP(c_List_Oappend(_u16082), _u16088), _u16090)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16082), _u16084), _u16086) = _u16090) | ( _u16086 = hAPP(hAPP(c_List_Oappend(_u16082), skolem425(_u16090, _u16088, _u16086, _u16084, _u16082)), _u16090)) )).
% 20.36/20.63 cnf(matrix-6873, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16083), _u16085), _u16087) = hAPP(hAPP(c_List_Oappend(_u16083), _u16089), _u16091)) | ( _u16089 != c_List_Olist_ONil(_u16083)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16083), _u16085), _u16087) != _u16091) )).
% 20.36/20.63 cnf(matrix-6874, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16083), _u16085), _u16087) = hAPP(hAPP(c_List_Oappend(_u16083), _u16089), _u16091)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16083), _u16085), _u16076) != _u16089) | ( _u16087 != hAPP(hAPP(c_List_Oappend(_u16083), _u16076), _u16091)) )).
% 20.36/20.63 cnf(matrix-6875, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16097), _u16099), hAPP(hAPP(c_List_Olist_OCons(_u16097), _u16101), c_List_Olist_ONil(_u16097))) != hAPP(hAPP(c_List_Oappend(_u16097), _u16103), hAPP(hAPP(c_List_Olist_OCons(_u16097), _u16105), c_List_Olist_ONil(_u16097)))) | ( _u16099 = _u16103) )).
% 20.36/20.63 cnf(matrix-6876, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16097), _u16099), hAPP(hAPP(c_List_Olist_OCons(_u16097), _u16101), c_List_Olist_ONil(_u16097))) != hAPP(hAPP(c_List_Oappend(_u16097), _u16103), hAPP(hAPP(c_List_Olist_OCons(_u16097), _u16105), c_List_Olist_ONil(_u16097)))) | ( _u16101 = _u16105) )).
% 20.36/20.63 cnf(matrix-6877, plain, ( ( _u16100 != _u16104) | ( _u16102 != _u16106) | ( hAPP(hAPP(c_List_Oappend(_u16098), _u16100), hAPP(hAPP(c_List_Olist_OCons(_u16098), _u16102), c_List_Olist_ONil(_u16098))) = hAPP(hAPP(c_List_Oappend(_u16098), _u16104), hAPP(hAPP(c_List_Olist_OCons(_u16098), _u16106), c_List_Olist_ONil(_u16098)))) )).
% 20.36/20.63 cnf(matrix-6878, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16107), hAPP(hAPP(c_List_Olist_OCons(_u16107), _u16108), _u16109)), _u16110) = hAPP(hAPP(c_List_Olist_OCons(_u16107), _u16108), hAPP(hAPP(c_List_Oappend(_u16107), _u16109), _u16110))) )).
% 20.36/20.63 cnf(matrix-6879, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16111), _u16112), _u16113) != _u16114) | ( _u16115 != hAPP(hAPP(c_List_Oappend(_u16111), _u16113), _u16116)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16111), _u16112), _u16115) = hAPP(hAPP(c_List_Oappend(_u16111), _u16114), _u16116)) )).
% 20.36/20.63 cnf(matrix-6880, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16121)), hAPP(hAPP(c_List_Oappend(_u16121), _u16123), _u16125)), c_List_Olists(_u16121, _u16127))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16121)), _u16123), c_List_Olists(_u16121, _u16127))) )).
% 20.36/20.63 cnf(matrix-6881, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16121)), hAPP(hAPP(c_List_Oappend(_u16121), _u16123), _u16125)), c_List_Olists(_u16121, _u16127))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16121)), _u16125), c_List_Olists(_u16121, _u16127))) )).
% 20.36/20.63 cnf(matrix-6882, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16122)), _u16124), c_List_Olists(_u16122, _u16128))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16122)), _u16126), c_List_Olists(_u16122, _u16128))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16122)), hAPP(hAPP(c_List_Oappend(_u16122), _u16124), _u16126)), c_List_Olists(_u16122, _u16128))) )).
% 20.36/20.63 cnf(matrix-6883, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16129), _u16130), _u16131) != _u16132) | ( _u16133 != hAPP(hAPP(c_List_Oappend(_u16129), _u16131), _u16134)) | ( hAPP(hAPP(c_List_Oappend(_u16129), _u16130), _u16133) = hAPP(hAPP(c_List_Oappend(_u16129), _u16132), _u16134)) )).
% 20.36/20.63 cnf(matrix-6884, plain, ( ( _u16141 = _u16145) | ( hAPP(hAPP(c_List_Oappend(_u16139), _u16141), _u16143) != hAPP(hAPP(c_List_Oappend(_u16139), _u16145), _u16143)) )).
% 20.36/20.63 cnf(matrix-6885, plain, ( ( _u16142 != _u16146) | ( hAPP(hAPP(c_List_Oappend(_u16140), _u16142), _u16144) = hAPP(hAPP(c_List_Oappend(_u16140), _u16146), _u16144)) )).
% 20.36/20.63 cnf(matrix-6886, plain, ( ( _u16155 = _u16157) | ( hAPP(hAPP(c_List_Oappend(_u16151), _u16153), _u16155) != hAPP(hAPP(c_List_Oappend(_u16151), _u16153), _u16157)) )).
% 20.36/20.63 cnf(matrix-6887, plain, ( ( _u16156 != _u16158) | ( hAPP(hAPP(c_List_Oappend(_u16152), _u16154), _u16156) = hAPP(hAPP(c_List_Oappend(_u16152), _u16154), _u16158)) )).
% 20.36/20.63 cnf(matrix-6888, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16170), _u16172), _u16174) != hAPP(hAPP(c_List_Oappend(_u16170), _u16176), _u16178)) | ( _u16172 = hAPP(hAPP(c_List_Oappend(_u16170), _u16176), skolem426(_u16178, _u16176, _u16174, _u16172, _u16170))) | ( hAPP(hAPP(c_List_Oappend(_u16170), _u16172), skolem427(_u16178, _u16176, _u16174, _u16172, _u16170)) = _u16176) )).
% 20.36/20.63 cnf(matrix-6889, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16170), _u16172), _u16174) != hAPP(hAPP(c_List_Oappend(_u16170), _u16176), _u16178)) | ( _u16172 = hAPP(hAPP(c_List_Oappend(_u16170), _u16176), skolem426(_u16178, _u16176, _u16174, _u16172, _u16170))) | ( _u16174 = hAPP(hAPP(c_List_Oappend(_u16170), skolem427(_u16178, _u16176, _u16174, _u16172, _u16170)), _u16178)) )).
% 20.36/20.63 cnf(matrix-6890, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16170), _u16172), _u16174) != hAPP(hAPP(c_List_Oappend(_u16170), _u16176), _u16178)) | ( hAPP(hAPP(c_List_Oappend(_u16170), skolem426(_u16178, _u16176, _u16174, _u16172, _u16170)), _u16174) = _u16178) | ( hAPP(hAPP(c_List_Oappend(_u16170), _u16172), skolem427(_u16178, _u16176, _u16174, _u16172, _u16170)) = _u16176) )).
% 20.36/20.63 cnf(matrix-6891, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16170), _u16172), _u16174) != hAPP(hAPP(c_List_Oappend(_u16170), _u16176), _u16178)) | ( hAPP(hAPP(c_List_Oappend(_u16170), skolem426(_u16178, _u16176, _u16174, _u16172, _u16170)), _u16174) = _u16178) | ( _u16174 = hAPP(hAPP(c_List_Oappend(_u16170), skolem427(_u16178, _u16176, _u16174, _u16172, _u16170)), _u16178)) )).
% 20.36/20.63 cnf(matrix-6892, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16171), _u16173), _u16175) = hAPP(hAPP(c_List_Oappend(_u16171), _u16177), _u16179)) | ( _u16173 != hAPP(hAPP(c_List_Oappend(_u16171), _u16177), _u16168)) | ( hAPP(hAPP(c_List_Oappend(_u16171), _u16168), _u16175) != _u16179) )).
% 20.36/20.63 cnf(matrix-6893, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16171), _u16173), _u16175) = hAPP(hAPP(c_List_Oappend(_u16171), _u16177), _u16179)) | ( hAPP(hAPP(c_List_Oappend(_u16171), _u16173), _u16169) != _u16177) | ( _u16175 != hAPP(hAPP(c_List_Oappend(_u16171), _u16169), _u16179)) )).
% 20.36/20.63 cnf(matrix-6894, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16180), hAPP(hAPP(c_List_Oappend(_u16180), _u16181), _u16182)), _u16183) = hAPP(hAPP(c_List_Oappend(_u16180), _u16181), hAPP(hAPP(c_List_Oappend(_u16180), _u16182), _u16183))) )).
% 20.36/20.63 cnf(matrix-6895, plain, ( ~class_Groups_Omonoid__add(_u16184) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16184), hAPP(hAPP(c_List_Oappend(_u16184), _u16185), _u16186)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16184), hAPP(c_List_Omonoid__add__class_Olistsum(_u16184), _u16185)), hAPP(c_List_Omonoid__add__class_Olistsum(_u16184), _u16186))) )).
% 20.36/20.63 cnf(matrix-6896, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16187)), hAPP(hAPP(c_List_Oappend(_u16187), _u16188), _u16189)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16187)), _u16188)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16187)), _u16189))) )).
% 20.36/20.63 cnf(matrix-6897, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16190)), _u16191) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16192)), _u16193)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16190)), _u16194) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16192)), _u16195)) | ( hAPP(hAPP(c_List_Ozip(_u16190, _u16192), hAPP(hAPP(c_List_Oappend(_u16190), _u16191), _u16194)), hAPP(hAPP(c_List_Oappend(_u16192), _u16193), _u16195)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u16190, _u16192)), hAPP(hAPP(c_List_Ozip(_u16190, _u16192), _u16191), _u16193)), hAPP(hAPP(c_List_Ozip(_u16190, _u16192), _u16194), _u16195))) )).
% 20.36/20.63 cnf(matrix-6898, plain, ( ( hAPP(c_List_Oset(_u16196), hAPP(hAPP(c_List_Oappend(_u16196), _u16197), _u16198)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16196, tc_HOL_Obool)), hAPP(c_List_Oset(_u16196), _u16197)), hAPP(c_List_Oset(_u16196), _u16198))) )).
% 20.36/20.63 cnf(matrix-6899, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16199), c_List_Olist_ONil(_u16199)), _u16200) = _u16200) )).
% 20.36/20.63 cnf(matrix-6900, plain, ( ( c_List_Olist_ONil(_u16204) != hAPP(hAPP(c_List_Oappend(_u16204), _u16206), _u16208)) | ( _u16206 = c_List_Olist_ONil(_u16204)) )).
% 20.36/20.63 cnf(matrix-6901, plain, ( ( c_List_Olist_ONil(_u16204) != hAPP(hAPP(c_List_Oappend(_u16204), _u16206), _u16208)) | ( _u16208 = c_List_Olist_ONil(_u16204)) )).
% 20.36/20.63 cnf(matrix-6902, plain, ( ( _u16207 != c_List_Olist_ONil(_u16205)) | ( _u16209 != c_List_Olist_ONil(_u16205)) | ( c_List_Olist_ONil(_u16205) = hAPP(hAPP(c_List_Oappend(_u16205), _u16207), _u16209)) )).
% 20.36/20.63 cnf(matrix-6903, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16210), _u16211), c_List_Olist_ONil(_u16210)) = _u16211) )).
% 20.36/20.63 cnf(matrix-6904, plain, ( ( _u16219 = c_List_Olist_ONil(_u16217)) | ( _u16215 != hAPP(hAPP(c_List_Oappend(_u16217), _u16215), _u16219)) )).
% 20.36/20.63 cnf(matrix-6905, plain, ( ( _u16220 != c_List_Olist_ONil(_u16218)) | ( _u16216 = hAPP(hAPP(c_List_Oappend(_u16218), _u16216), _u16220)) )).
% 20.36/20.63 cnf(matrix-6906, plain, ( ( _u16228 = c_List_Olist_ONil(_u16226)) | ( _u16224 != hAPP(hAPP(c_List_Oappend(_u16226), _u16228), _u16224)) )).
% 20.36/20.63 cnf(matrix-6907, plain, ( ( _u16229 != c_List_Olist_ONil(_u16227)) | ( _u16225 = hAPP(hAPP(c_List_Oappend(_u16227), _u16229), _u16225)) )).
% 20.36/20.63 cnf(matrix-6908, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16233), _u16235), _u16237) != c_List_Olist_ONil(_u16233)) | ( _u16235 = c_List_Olist_ONil(_u16233)) )).
% 20.36/20.63 cnf(matrix-6909, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16233), _u16235), _u16237) != c_List_Olist_ONil(_u16233)) | ( _u16237 = c_List_Olist_ONil(_u16233)) )).
% 20.36/20.63 cnf(matrix-6910, plain, ( ( _u16236 != c_List_Olist_ONil(_u16234)) | ( _u16238 != c_List_Olist_ONil(_u16234)) | ( hAPP(hAPP(c_List_Oappend(_u16234), _u16236), _u16238) = c_List_Olist_ONil(_u16234)) )).
% 20.36/20.63 cnf(matrix-6911, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16242), _u16244), _u16246) != _u16244) | ( _u16246 = c_List_Olist_ONil(_u16242)) )).
% 20.36/20.63 cnf(matrix-6912, plain, ( ( _u16247 != c_List_Olist_ONil(_u16243)) | ( hAPP(hAPP(c_List_Oappend(_u16243), _u16245), _u16247) = _u16245) )).
% 20.36/20.63 cnf(matrix-6913, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16251), _u16253), _u16255) != _u16255) | ( _u16253 = c_List_Olist_ONil(_u16251)) )).
% 20.36/20.63 cnf(matrix-6914, plain, ( ( _u16254 != c_List_Olist_ONil(_u16252)) | ( hAPP(hAPP(c_List_Oappend(_u16252), _u16254), _u16256) = _u16256) )).
% 20.36/20.63 cnf(matrix-6915, plain, ( ( _u16257 != _u16258) | ( _u16257 = hAPP(hAPP(c_List_Oappend(_u16259), c_List_Olist_ONil(_u16259)), _u16258)) )).
% 20.36/20.63 cnf(matrix-6916, plain, ( ( _u16263 != c_List_Olist_ONil(_u16265)) | ( c_List_Obutlast(_u16265, hAPP(hAPP(c_List_Oappend(_u16265), _u16267), _u16263)) = c_List_Obutlast(_u16265, _u16267)) )).
% 20.36/20.63 cnf(matrix-6917, plain, ( ( _u16264 = c_List_Olist_ONil(_u16266)) | ( c_List_Obutlast(_u16266, hAPP(hAPP(c_List_Oappend(_u16266), _u16268), _u16264)) = hAPP(hAPP(c_List_Oappend(_u16266), _u16268), c_List_Obutlast(_u16266, _u16264))) )).
% 20.36/20.63 cnf(matrix-6918, plain, ( ( hAPP(hAPP(c_List_Onth(_u16269), hAPP(hAPP(c_List_Oappend(_u16269), _u16270), hAPP(hAPP(c_List_Olist_OCons(_u16269), _u16271), _u16272))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16269)), _u16270)) = _u16271) )).
% 20.36/20.63 cnf(matrix-6919, plain, ( ( hAPP(hAPP(c_List_Onth(_u16273), hAPP(hAPP(c_List_Oappend(_u16273), _u16274), _u16275)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16273)), _u16274)), _u16276)) = hAPP(hAPP(c_List_Onth(_u16273), _u16275), _u16276)) )).
% 20.36/20.63 cnf(matrix-6920, plain, ( ( hAPP(hAPP(c_List_Otake(_u16277), _u16278), hAPP(hAPP(c_List_Oappend(_u16277), _u16279), _u16280)) = hAPP(hAPP(c_List_Oappend(_u16277), hAPP(hAPP(c_List_Otake(_u16277), _u16278), _u16279)), hAPP(hAPP(c_List_Otake(_u16277), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16278), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16277)), _u16279))), _u16280))) )).
% 20.36/20.63 cnf(matrix-6921, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16281), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16282)), _u16283))) | ( hAPP(hAPP(c_List_Olist__update(_u16282, hAPP(hAPP(c_List_Oappend(_u16282), _u16283), _u16284)), _u16281), _u16285) = hAPP(hAPP(c_List_Oappend(_u16282), hAPP(hAPP(c_List_Olist__update(_u16282, _u16283), _u16281), _u16285)), _u16284)) )).
% 20.36/20.63 cnf(matrix-6922, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u16286, hAPP(hAPP(c_List_Oappend(_u16286), _u16287), hAPP(hAPP(c_List_Olist_OCons(_u16286), _u16288), _u16289))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16286)), _u16287)), _u16290) = hAPP(hAPP(c_List_Oappend(_u16286), _u16287), hAPP(hAPP(c_List_Olist_OCons(_u16286), _u16290), _u16289))) )).
% 20.36/20.63 cnf(matrix-6923, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16295), _u16297), hAPP(c_List_Oset(_u16295), _u16299))) | ( c_List_Oremove1(_u16295, _u16297, hAPP(hAPP(c_List_Oappend(_u16295), _u16299), _u16301)) = hAPP(hAPP(c_List_Oappend(_u16295), c_List_Oremove1(_u16295, _u16297, _u16299)), _u16301)) )).
% 20.36/20.63 cnf(matrix-6924, plain, ( hBOOL(hAPP(hAPP(c_member(_u16296), _u16298), hAPP(c_List_Oset(_u16296), _u16300))) | ( c_List_Oremove1(_u16296, _u16298, hAPP(hAPP(c_List_Oappend(_u16296), _u16300), _u16302)) = hAPP(hAPP(c_List_Oappend(_u16296), _u16300), c_List_Oremove1(_u16296, _u16298, _u16302))) )).
% 20.36/20.63 cnf(matrix-6925, plain, ( hBOOL(hAPP(hAPP(c_member(_u16303), _u16304), hAPP(c_List_Oset(_u16303), c_List_Obutlast(_u16303, hAPP(hAPP(c_List_Oappend(_u16303), _u16305), _u16306))))) | ~hBOOL(hAPP(hAPP(c_member(_u16303), _u16304), hAPP(c_List_Oset(_u16303), c_List_Obutlast(_u16303, _u16305)))) )).
% 20.36/20.63 cnf(matrix-6926, plain, ( hBOOL(hAPP(hAPP(c_member(_u16303), _u16304), hAPP(c_List_Oset(_u16303), c_List_Obutlast(_u16303, hAPP(hAPP(c_List_Oappend(_u16303), _u16305), _u16306))))) | ~hBOOL(hAPP(hAPP(c_member(_u16303), _u16304), hAPP(c_List_Oset(_u16303), c_List_Obutlast(_u16303, _u16306)))) )).
% 20.36/20.63 cnf(matrix-6927, plain, ( ( c_List_Obutlast(_u16307, hAPP(hAPP(c_List_Oappend(_u16307), _u16308), hAPP(hAPP(c_List_Olist_OCons(_u16307), _u16309), c_List_Olist_ONil(_u16307)))) = _u16308) )).
% 20.36/20.63 cnf(matrix-6928, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16310), tc_List_Olist(_u16310))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16310), tc_List_Olist(_u16310)), hAPP(hAPP(c_List_Oappend(_u16310), _u16311), _u16314)), hAPP(hAPP(c_List_Oappend(_u16310), _u16312), _u16315))), c_List_Olistrel1(_u16310, _u16313))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16310), tc_List_Olist(_u16310))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16310), tc_List_Olist(_u16310)), _u16311), _u16312)), c_List_Olistrel1(_u16310, _u16313))) | ( _u16314 != _u16315) )).
% 20.36/20.63 cnf(matrix-6929, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16310), tc_List_Olist(_u16310))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16310), tc_List_Olist(_u16310)), hAPP(hAPP(c_List_Oappend(_u16310), _u16311), _u16314)), hAPP(hAPP(c_List_Oappend(_u16310), _u16312), _u16315))), c_List_Olistrel1(_u16310, _u16313))) | ( _u16311 != _u16312) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16310), tc_List_Olist(_u16310))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16310), tc_List_Olist(_u16310)), _u16314), _u16315)), c_List_Olistrel1(_u16310, _u16313))) )).
% 20.36/20.63 cnf(matrix-6930, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16316), tc_List_Olist(_u16316))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16316), tc_List_Olist(_u16316)), _u16317), _u16318)), c_List_Olexord(_u16316, _u16319))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16316), tc_List_Olist(_u16316))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16316), tc_List_Olist(_u16316)), hAPP(hAPP(c_List_Oappend(_u16316), _u16320), _u16317)), hAPP(hAPP(c_List_Oappend(_u16316), _u16320), _u16318))), c_List_Olexord(_u16316, _u16319))) )).
% 20.36/20.63 cnf(matrix-6931, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16324), hAPP(hAPP(c_List_Oappend(_u16324), _u16326), _u16328))) | hBOOL(hAPP(c_List_Odistinct(_u16324), _u16326)) )).
% 20.36/20.63 cnf(matrix-6932, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16324), hAPP(hAPP(c_List_Oappend(_u16324), _u16326), _u16328))) | hBOOL(hAPP(c_List_Odistinct(_u16324), _u16328)) )).
% 20.36/20.63 cnf(matrix-6933, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16324), hAPP(hAPP(c_List_Oappend(_u16324), _u16326), _u16328))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16324, tc_HOL_Obool)), hAPP(c_List_Oset(_u16324), _u16326)), hAPP(c_List_Oset(_u16324), _u16328)) = c_Orderings_Obot__class_Obot(tc_fun(_u16324, tc_HOL_Obool))) )).
% 20.36/20.63 cnf(matrix-6934, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16325), _u16327)) | ~hBOOL(hAPP(c_List_Odistinct(_u16325), _u16329)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16325, tc_HOL_Obool)), hAPP(c_List_Oset(_u16325), _u16327)), hAPP(c_List_Oset(_u16325), _u16329)) != c_Orderings_Obot__class_Obot(tc_fun(_u16325, tc_HOL_Obool))) | hBOOL(hAPP(c_List_Odistinct(_u16325), hAPP(hAPP(c_List_Oappend(_u16325), _u16327), _u16329))) )).
% 20.36/20.63 cnf(matrix-6935, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16334), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16336)), _u16338))) | ( hAPP(hAPP(c_List_Onth(_u16336), hAPP(hAPP(c_List_Oappend(_u16336), _u16338), _u16340)), _u16334) = hAPP(hAPP(c_List_Onth(_u16336), _u16338), _u16334)) )).
% 20.36/20.63 cnf(matrix-6936, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16335), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16337)), _u16339))) | ( hAPP(hAPP(c_List_Onth(_u16337), hAPP(hAPP(c_List_Oappend(_u16337), _u16339), _u16341)), _u16335) = hAPP(hAPP(c_List_Onth(_u16337), _u16341), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16335), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16337)), _u16339)))) )).
% 20.36/20.63 cnf(matrix-6937, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16347), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16349)), _u16351))) | ( hAPP(hAPP(c_List_Olist__update(_u16349, hAPP(hAPP(c_List_Oappend(_u16349), _u16351), _u16353)), _u16347), _u16355) = hAPP(hAPP(c_List_Oappend(_u16349), hAPP(hAPP(c_List_Olist__update(_u16349, _u16351), _u16347), _u16355)), _u16353)) )).
% 20.36/20.63 cnf(matrix-6938, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16348), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16350)), _u16352))) | ( hAPP(hAPP(c_List_Olist__update(_u16350, hAPP(hAPP(c_List_Oappend(_u16350), _u16352), _u16354)), _u16348), _u16356) = hAPP(hAPP(c_List_Oappend(_u16350), _u16352), hAPP(hAPP(c_List_Olist__update(_u16350, _u16354), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16348), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16350)), _u16352))), _u16356))) )).
% 20.36/20.63 cnf(matrix-6939, plain, ( ( c_List_Osublist(_u16357, hAPP(hAPP(c_List_Oappend(_u16357), _u16358), _u16359), _u16360) = hAPP(hAPP(c_List_Oappend(_u16357), c_List_Osublist(_u16357, _u16358, _u16360)), c_List_Osublist(_u16357, _u16359, 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(_u16357)), _u16358)))), _u16360))))) )).
% 20.36/20.63 cnf(matrix-6940, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16361, _u16361)), hAPP(hAPP(c_Product__Type_OPair(_u16361, _u16361), _u16362), _u16363)), _u16364)) | ( _u16365 != hAPP(hAPP(c_List_Oappend(_u16361), _u16366), hAPP(hAPP(c_List_Olist_OCons(_u16361), _u16362), _u16367))) | ( _u16368 != hAPP(hAPP(c_List_Oappend(_u16361), _u16366), hAPP(hAPP(c_List_Olist_OCons(_u16361), _u16363), _u16367))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16361), tc_List_Olist(_u16361))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16361), tc_List_Olist(_u16361)), _u16365), _u16368)), c_List_Olistrel1(_u16361, _u16364))) )).
% 20.36/20.63 cnf(matrix-6941, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16369, _u16369)), hAPP(hAPP(c_Product__Type_OPair(_u16369, _u16369), _u16370), _u16371)), _u16372)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16369), tc_List_Olist(_u16369))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16369), tc_List_Olist(_u16369)), hAPP(hAPP(c_List_Oappend(_u16369), _u16373), hAPP(hAPP(c_List_Olist_OCons(_u16369), _u16370), _u16374))), hAPP(hAPP(c_List_Oappend(_u16369), _u16373), hAPP(hAPP(c_List_Olist_OCons(_u16369), _u16371), _u16375)))), c_List_Olexord(_u16369, _u16372))) )).
% 20.36/20.63 cnf(matrix-6942, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16376), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16377)), _u16378))) | ( hAPP(hAPP(c_List_Otake(_u16377), hAPP(c_Nat_OSuc, _u16376)), _u16378) = hAPP(hAPP(c_List_Oappend(_u16377), hAPP(hAPP(c_List_Otake(_u16377), _u16376), _u16378)), hAPP(hAPP(c_List_Olist_OCons(_u16377), hAPP(hAPP(c_List_Onth(_u16377), _u16378), _u16376)), c_List_Olist_ONil(_u16377)))) )).
% 20.36/20.63 cnf(matrix-6943, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16385), tc_List_Olist(_u16385))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16385), tc_List_Olist(_u16385)), hAPP(hAPP(c_List_Oappend(_u16385), _u16387), hAPP(hAPP(c_List_Olist_OCons(_u16385), _u16389), c_List_Olist_ONil(_u16385)))), hAPP(hAPP(c_List_Oappend(_u16385), _u16391), hAPP(hAPP(c_List_Olist_OCons(_u16385), _u16393), c_List_Olist_ONil(_u16385))))), c_List_Olistrel1(_u16385, _u16395))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16385), tc_List_Olist(_u16385))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16385), tc_List_Olist(_u16385)), _u16387), _u16391)), c_List_Olistrel1(_u16385, _u16395))) | ( _u16387 = _u16391) )).
% 20.36/20.63 cnf(matrix-6944, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16385), tc_List_Olist(_u16385))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16385), tc_List_Olist(_u16385)), hAPP(hAPP(c_List_Oappend(_u16385), _u16387), hAPP(hAPP(c_List_Olist_OCons(_u16385), _u16389), c_List_Olist_ONil(_u16385)))), hAPP(hAPP(c_List_Oappend(_u16385), _u16391), hAPP(hAPP(c_List_Olist_OCons(_u16385), _u16393), c_List_Olist_ONil(_u16385))))), c_List_Olistrel1(_u16385, _u16395))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16385), tc_List_Olist(_u16385))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16385), tc_List_Olist(_u16385)), _u16387), _u16391)), c_List_Olistrel1(_u16385, _u16395))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16385, _u16385)), hAPP(hAPP(c_Product__Type_OPair(_u16385, _u16385), _u16389), _u16393)), _u16395)) )).
% 20.36/20.63 cnf(matrix-6945, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16385), tc_List_Olist(_u16385))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16385), tc_List_Olist(_u16385)), hAPP(hAPP(c_List_Oappend(_u16385), _u16387), hAPP(hAPP(c_List_Olist_OCons(_u16385), _u16389), c_List_Olist_ONil(_u16385)))), hAPP(hAPP(c_List_Oappend(_u16385), _u16391), hAPP(hAPP(c_List_Olist_OCons(_u16385), _u16393), c_List_Olist_ONil(_u16385))))), c_List_Olistrel1(_u16385, _u16395))) | ( _u16389 = _u16393) | ( _u16387 = _u16391) )).
% 20.36/20.63 cnf(matrix-6946, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16385), tc_List_Olist(_u16385))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16385), tc_List_Olist(_u16385)), hAPP(hAPP(c_List_Oappend(_u16385), _u16387), hAPP(hAPP(c_List_Olist_OCons(_u16385), _u16389), c_List_Olist_ONil(_u16385)))), hAPP(hAPP(c_List_Oappend(_u16385), _u16391), hAPP(hAPP(c_List_Olist_OCons(_u16385), _u16393), c_List_Olist_ONil(_u16385))))), c_List_Olistrel1(_u16385, _u16395))) | ( _u16389 = _u16393) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16385, _u16385)), hAPP(hAPP(c_Product__Type_OPair(_u16385, _u16385), _u16389), _u16393)), _u16395)) )).
% 20.36/20.63 cnf(matrix-6947, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16386), tc_List_Olist(_u16386))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16386), tc_List_Olist(_u16386)), hAPP(hAPP(c_List_Oappend(_u16386), _u16388), hAPP(hAPP(c_List_Olist_OCons(_u16386), _u16390), c_List_Olist_ONil(_u16386)))), hAPP(hAPP(c_List_Oappend(_u16386), _u16392), hAPP(hAPP(c_List_Olist_OCons(_u16386), _u16394), c_List_Olist_ONil(_u16386))))), c_List_Olistrel1(_u16386, _u16396))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16386), tc_List_Olist(_u16386))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16386), tc_List_Olist(_u16386)), _u16388), _u16392)), c_List_Olistrel1(_u16386, _u16396))) | ( _u16390 != _u16394) )).
% 20.36/20.63 cnf(matrix-6948, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16386), tc_List_Olist(_u16386))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16386), tc_List_Olist(_u16386)), hAPP(hAPP(c_List_Oappend(_u16386), _u16388), hAPP(hAPP(c_List_Olist_OCons(_u16386), _u16390), c_List_Olist_ONil(_u16386)))), hAPP(hAPP(c_List_Oappend(_u16386), _u16392), hAPP(hAPP(c_List_Olist_OCons(_u16386), _u16394), c_List_Olist_ONil(_u16386))))), c_List_Olistrel1(_u16386, _u16396))) | ( _u16388 != _u16392) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16386, _u16386)), hAPP(hAPP(c_Product__Type_OPair(_u16386, _u16386), _u16390), _u16394)), _u16396)) )).
% 20.36/20.63 cnf(matrix-6949, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16401), tc_List_Olist(_u16401))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16401), tc_List_Olist(_u16401)), _u16402), _u16403)), c_List_Olistrel1(_u16401, _u16404))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16401, _u16401)), hAPP(hAPP(c_Product__Type_OPair(_u16401, _u16401), skolem428(_u16404, _u16403, _u16402, _u16401)), skolem429(_u16404, _u16403, _u16402, _u16401))), _u16404)) )).
% 20.36/20.63 cnf(matrix-6950, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16401), tc_List_Olist(_u16401))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16401), tc_List_Olist(_u16401)), _u16402), _u16403)), c_List_Olistrel1(_u16401, _u16404))) | ( _u16402 = hAPP(hAPP(c_List_Oappend(_u16401), skolem430(_u16404, _u16403, _u16402, _u16401)), hAPP(hAPP(c_List_Olist_OCons(_u16401), skolem428(_u16404, _u16403, _u16402, _u16401)), skolem431(_u16404, _u16403, _u16402, _u16401)))) )).
% 20.36/20.63 cnf(matrix-6951, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16401), tc_List_Olist(_u16401))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16401), tc_List_Olist(_u16401)), _u16402), _u16403)), c_List_Olistrel1(_u16401, _u16404))) | ( _u16403 = hAPP(hAPP(c_List_Oappend(_u16401), skolem430(_u16404, _u16403, _u16402, _u16401)), hAPP(hAPP(c_List_Olist_OCons(_u16401), skolem429(_u16404, _u16403, _u16402, _u16401)), skolem431(_u16404, _u16403, _u16402, _u16401)))) )).
% 20.36/20.63 cnf(matrix-6952, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16406), tc_List_Olist(_u16406))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16406), tc_List_Olist(_u16406)), hAPP(hAPP(c_List_Oappend(_u16406), _u16407), _u16408)), hAPP(hAPP(c_List_Oappend(_u16406), _u16407), _u16409))), c_List_Olexord(_u16406, _u16410))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16406, _u16406)), hAPP(hAPP(c_Product__Type_OPair(_u16406, _u16406), skolem432(_u16410, _u16409, _u16408, _u16407, _u16406)), skolem432(_u16410, _u16409, _u16408, _u16407, _u16406))), _u16410)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16406), tc_List_Olist(_u16406))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16406), tc_List_Olist(_u16406)), _u16408), _u16409)), c_List_Olexord(_u16406, _u16410))) )).
% 20.36/20.63 cnf(matrix-6953, plain, ( ( hAPP(c_List_Orotate1(_u16411), _u16412) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u16411), _u16411, c_List_Olist_ONil(_u16411), hAPP(hAPP(c_COMBB(tc_List_Olist(_u16411), tc_fun(tc_List_Olist(_u16411), tc_List_Olist(_u16411)), _u16411), hAPP(c_COMBC(tc_List_Olist(_u16411), tc_List_Olist(_u16411), tc_List_Olist(_u16411)), c_List_Oappend(_u16411))), hAPP(hAPP(c_COMBC(_u16411, tc_List_Olist(_u16411), tc_List_Olist(_u16411)), c_List_Olist_OCons(_u16411)), c_List_Olist_ONil(_u16411)))), _u16412)) )).
% 20.36/20.63 cnf(matrix-6954, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16413), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16414)), _u16415))) | ( hAPP(hAPP(c_List_Olist__update(_u16414, _u16415), _u16413), _u16416) = hAPP(hAPP(c_List_Oappend(_u16414), hAPP(hAPP(c_List_Otake(_u16414), _u16413), _u16415)), hAPP(hAPP(c_List_Olist_OCons(_u16414), _u16416), hAPP(hAPP(c_List_Odrop(_u16414), hAPP(c_Nat_OSuc, _u16413)), _u16415)))) )).
% 20.36/20.63 cnf(matrix-6955, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16417), hAPP(hAPP(c_List_Otake(_u16417), _u16418), _u16419)), hAPP(hAPP(c_List_Odrop(_u16417), _u16418), _u16419)) = _u16419) )).
% 20.36/20.63 cnf(matrix-6956, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16420), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u16420), _u16421), _u16422)) = _u16422) )).
% 20.36/20.63 cnf(matrix-6957, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16423), hAPP(c_Nat_OSuc, _u16424)), hAPP(hAPP(c_List_Olist_OCons(_u16423), _u16425), _u16426)) = hAPP(hAPP(c_List_Odrop(_u16423), _u16424), _u16426)) )).
% 20.36/20.63 cnf(matrix-6958, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16427), _u16428), _u16429) != hAPP(hAPP(c_List_Olist_OCons(_u16427), _u16430), _u16431)) | ( hAPP(hAPP(c_List_Onth(_u16427), _u16429), _u16428) = _u16430) )).
% 20.36/20.63 cnf(matrix-6959, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16432), _u16433)) | hBOOL(hAPP(c_List_Odistinct(_u16432), hAPP(hAPP(c_List_Odrop(_u16432), _u16434), _u16433))) )).
% 20.36/20.63 cnf(matrix-6960, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16437), hAPP(c_List_Orotate1(_u16437), _u16439))) | hBOOL(hAPP(c_List_Odistinct(_u16437), _u16439)) )).
% 20.36/20.63 cnf(matrix-6961, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16438), _u16440)) | hBOOL(hAPP(c_List_Odistinct(_u16438), hAPP(c_List_Orotate1(_u16438), _u16440))) )).
% 20.36/20.63 cnf(matrix-6962, plain, ( ( c_List_Obutlast(_u16441, hAPP(hAPP(c_List_Odrop(_u16441), _u16442), _u16443)) = hAPP(hAPP(c_List_Odrop(_u16441), _u16442), c_List_Obutlast(_u16441, _u16443))) )).
% 20.36/20.63 cnf(matrix-6963, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16444), _u16445), c_List_Obutlast(_u16444, _u16446)) = c_List_Obutlast(_u16444, hAPP(hAPP(c_List_Odrop(_u16444), _u16445), _u16446))) )).
% 20.36/20.63 cnf(matrix-6964, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16447), _u16448), hAPP(hAPP(c_List_Otake(_u16447), _u16449), _u16450)) = hAPP(hAPP(c_List_Otake(_u16447), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16449), _u16448)), hAPP(hAPP(c_List_Odrop(_u16447), _u16448), _u16450))) )).
% 20.36/20.63 cnf(matrix-6965, plain, ( ( hAPP(hAPP(c_List_Otake(_u16451), _u16452), hAPP(hAPP(c_List_Odrop(_u16451), _u16453), _u16454)) = hAPP(hAPP(c_List_Odrop(_u16451), _u16453), hAPP(hAPP(c_List_Otake(_u16451), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16452), _u16453)), _u16454))) )).
% 20.36/20.63 cnf(matrix-6966, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16455), _u16456), hAPP(hAPP(c_List_Odrop(_u16455), _u16457), _u16458)) = hAPP(hAPP(c_List_Odrop(_u16455), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16456), _u16457)), _u16458)) )).
% 20.36/20.63 cnf(matrix-6967, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16459), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16460) = _u16460) )).
% 20.36/20.63 cnf(matrix-6968, plain, ( ( hAPP(hAPP(c_List_Odrop(tc_prod(_u16461, _u16462)), _u16463), hAPP(hAPP(c_List_Ozip(_u16461, _u16462), _u16464), _u16465)) = hAPP(hAPP(c_List_Ozip(_u16461, _u16462), hAPP(hAPP(c_List_Odrop(_u16461), _u16463), _u16464)), hAPP(hAPP(c_List_Odrop(_u16462), _u16463), _u16465))) )).
% 20.36/20.63 cnf(matrix-6969, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16466)), hAPP(c_List_Orotate1(_u16466), _u16467)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16466)), _u16467)) )).
% 20.36/20.63 cnf(matrix-6970, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16468)), hAPP(hAPP(c_List_Odrop(_u16468), _u16469), _u16470)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16468)), _u16470)), _u16469)) )).
% 20.36/20.63 cnf(matrix-6971, plain, ( ( hAPP(c_List_Oset(_u16471), hAPP(c_List_Orotate1(_u16471), _u16472)) = hAPP(c_List_Oset(_u16471), _u16472)) )).
% 20.36/20.63 cnf(matrix-6972, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16473), _u16474), hAPP(c_List_Oset(_u16473), hAPP(hAPP(c_List_Odrop(_u16473), _u16475), _u16476)))) | hBOOL(hAPP(hAPP(c_member(_u16473), _u16474), hAPP(c_List_Oset(_u16473), _u16476))) )).
% 20.36/20.63 cnf(matrix-6973, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16477, tc_HOL_Obool)), hAPP(c_List_Oset(_u16477), hAPP(hAPP(c_List_Odrop(_u16477), _u16478), _u16479))), hAPP(c_List_Oset(_u16477), _u16479))) )).
% 20.36/20.63 cnf(matrix-6974, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16480), _u16481), c_List_Olist_ONil(_u16480)) = c_List_Olist_ONil(_u16480)) )).
% 20.36/20.63 cnf(matrix-6975, plain, ( ( hAPP(c_List_Orotate1(_u16484), _u16486) != c_List_Olist_ONil(_u16484)) | ( _u16486 = c_List_Olist_ONil(_u16484)) )).
% 20.36/20.63 cnf(matrix-6976, plain, ( ( _u16487 != c_List_Olist_ONil(_u16485)) | ( hAPP(c_List_Orotate1(_u16485), _u16487) = c_List_Olist_ONil(_u16485)) )).
% 20.36/20.63 cnf(matrix-6977, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16488), _u16489)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16490, tc_HOL_Obool)), hAPP(c_List_Oset(_u16490), hAPP(hAPP(c_List_Odrop(_u16490), _u16489), _u16491))), hAPP(c_List_Oset(_u16490), hAPP(hAPP(c_List_Odrop(_u16490), _u16488), _u16491)))) )).
% 20.36/20.63 cnf(matrix-6978, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16492)), _u16493)), _u16494)) | ( hAPP(hAPP(c_List_Odrop(_u16492), _u16494), _u16493) = c_List_Olist_ONil(_u16492)) )).
% 20.36/20.63 cnf(matrix-6979, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16498), _u16500), _u16502) != c_List_Olist_ONil(_u16498)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16498)), _u16502)), _u16500)) )).
% 20.36/20.63 cnf(matrix-6980, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16499)), _u16503)), _u16501)) | ( hAPP(hAPP(c_List_Odrop(_u16499), _u16501), _u16503) = c_List_Olist_ONil(_u16499)) )).
% 20.36/20.63 cnf(matrix-6981, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16504), _u16505), hAPP(hAPP(c_List_Oappend(_u16504), _u16506), _u16507)) = hAPP(hAPP(c_List_Oappend(_u16504), hAPP(hAPP(c_List_Odrop(_u16504), _u16505), _u16506)), hAPP(hAPP(c_List_Odrop(_u16504), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16505), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16504)), _u16506))), _u16507))) )).
% 20.36/20.63 cnf(matrix-6982, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16512), _u16514), _u16516) != _u16518) | ( _u16514 = hAPP(hAPP(c_List_Otake(_u16512), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16512)), _u16514)), _u16518)) )).
% 20.36/20.63 cnf(matrix-6983, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16512), _u16514), _u16516) != _u16518) | ( _u16516 = hAPP(hAPP(c_List_Odrop(_u16512), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16512)), _u16514)), _u16518)) )).
% 20.36/20.63 cnf(matrix-6984, plain, ( ( _u16515 != hAPP(hAPP(c_List_Otake(_u16513), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16513)), _u16515)), _u16519)) | ( _u16517 != hAPP(hAPP(c_List_Odrop(_u16513), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16513)), _u16515)), _u16519)) | ( hAPP(hAPP(c_List_Oappend(_u16513), _u16515), _u16517) = _u16519) )).
% 20.36/20.63 cnf(matrix-6985, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16520), _u16521), hAPP(hAPP(c_List_Olist_OCons(_u16520), _u16522), _u16523)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u16520), hAPP(hAPP(c_List_Olist_OCons(_u16520), _u16522), _u16523), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u16520), tc_List_Olist(_u16520)), c_List_Odrop(_u16520)), _u16523), _u16521)) )).
% 20.36/20.63 cnf(matrix-6986, plain, ( ( _u16528 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u16530), _u16528), hAPP(hAPP(c_List_Olist_OCons(_u16530), _u16532), _u16534)) = hAPP(hAPP(c_List_Olist_OCons(_u16530), _u16532), _u16534)) )).
% 20.36/20.63 cnf(matrix-6987, plain, ( ( _u16529 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u16531), _u16529), hAPP(hAPP(c_List_Olist_OCons(_u16531), _u16533), _u16535)) = hAPP(hAPP(c_List_Odrop(_u16531), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16529), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u16535)) )).
% 20.36/20.63 cnf(matrix-6988, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16536), _u16537)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16538)), _u16539))) | ( hAPP(hAPP(c_List_Onth(_u16538), hAPP(hAPP(c_List_Odrop(_u16538), _u16536), _u16539)), _u16537) = hAPP(hAPP(c_List_Onth(_u16538), _u16539), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16536), _u16537))) )).
% 20.36/20.63 cnf(matrix-6989, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16545), _u16547), _u16549) != hAPP(hAPP(c_List_Oappend(_u16545), _u16551), _u16553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16545)), _u16547)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16545)), _u16551))) | ( _u16547 = hAPP(hAPP(c_List_Otake(_u16545), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16545)), _u16547)), _u16551)) )).
% 20.36/20.63 cnf(matrix-6990, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16545), _u16547), _u16549) != hAPP(hAPP(c_List_Oappend(_u16545), _u16551), _u16553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16545)), _u16547)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16545)), _u16551))) | ( _u16549 = hAPP(hAPP(c_List_Oappend(_u16545), hAPP(hAPP(c_List_Odrop(_u16545), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16545)), _u16547)), _u16551)), _u16553)) )).
% 20.36/20.63 cnf(matrix-6991, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16545), _u16547), _u16549) != hAPP(hAPP(c_List_Oappend(_u16545), _u16551), _u16553)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16545)), _u16547)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16545)), _u16551))) | ( hAPP(hAPP(c_List_Otake(_u16545), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16545)), _u16551)), _u16547) = _u16551) )).
% 20.36/20.63 cnf(matrix-6992, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16545), _u16547), _u16549) != hAPP(hAPP(c_List_Oappend(_u16545), _u16551), _u16553)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16545)), _u16547)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16545)), _u16551))) | ( hAPP(hAPP(c_List_Oappend(_u16545), hAPP(hAPP(c_List_Odrop(_u16545), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16545)), _u16551)), _u16547)), _u16549) = _u16553) )).
% 20.36/20.63 cnf(matrix-6993, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16546), _u16548), _u16550) = hAPP(hAPP(c_List_Oappend(_u16546), _u16552), _u16554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16546)), _u16548)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16546)), _u16552))) | ( hAPP(hAPP(c_List_Otake(_u16546), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16546)), _u16552)), _u16548) != _u16552) | ( hAPP(hAPP(c_List_Oappend(_u16546), hAPP(hAPP(c_List_Odrop(_u16546), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16546)), _u16552)), _u16548)), _u16550) != _u16554) )).
% 20.36/20.63 cnf(matrix-6994, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16546), _u16548), _u16550) = hAPP(hAPP(c_List_Oappend(_u16546), _u16552), _u16554)) | ( _u16548 != hAPP(hAPP(c_List_Otake(_u16546), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16546)), _u16548)), _u16552)) | ( _u16550 != hAPP(hAPP(c_List_Oappend(_u16546), hAPP(hAPP(c_List_Odrop(_u16546), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16546)), _u16548)), _u16552)), _u16554)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16546)), _u16548)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16546)), _u16552))) )).
% 20.36/20.63 cnf(matrix-6995, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16546), _u16548), _u16550) = hAPP(hAPP(c_List_Oappend(_u16546), _u16552), _u16554)) | ( _u16548 != hAPP(hAPP(c_List_Otake(_u16546), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16546)), _u16548)), _u16552)) | ( _u16550 != hAPP(hAPP(c_List_Oappend(_u16546), hAPP(hAPP(c_List_Odrop(_u16546), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16546)), _u16548)), _u16552)), _u16554)) | ( hAPP(hAPP(c_List_Otake(_u16546), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16546)), _u16552)), _u16548) != _u16552) | ( hAPP(hAPP(c_List_Oappend(_u16546), hAPP(hAPP(c_List_Odrop(_u16546), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16546)), _u16552)), _u16548)), _u16550) != _u16554) )).
% 20.36/20.63 cnf(matrix-6996, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16555), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16556)), _u16557))) | ( hAPP(hAPP(c_List_Olist_OCons(_u16556), hAPP(hAPP(c_List_Onth(_u16556), _u16557), _u16555)), hAPP(hAPP(c_List_Odrop(_u16556), hAPP(c_Nat_OSuc, _u16555)), _u16557)) = hAPP(hAPP(c_List_Odrop(_u16556), _u16555), _u16557)) )).
% 20.36/20.63 cnf(matrix-6997, plain, ( ( hAPP(c_List_Orotate1(_u16558), c_List_Olist_ONil(_u16558)) = c_List_Olist_ONil(_u16558)) )).
% 20.36/20.63 cnf(matrix-6998, plain, ( ( hAPP(c_List_Orotate1(_u16559), hAPP(hAPP(c_List_Olist_OCons(_u16559), _u16560), _u16561)) = hAPP(hAPP(c_List_Oappend(_u16559), _u16561), hAPP(hAPP(c_List_Olist_OCons(_u16559), _u16560), c_List_Olist_ONil(_u16559)))) )).
% 20.36/20.63 cnf(matrix-6999, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16566) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u16568), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16566)), hAPP(hAPP(c_List_Olist_OCons(_u16568), _u16570), _u16572)) = hAPP(hAPP(c_List_Olist_OCons(_u16568), _u16570), _u16572)) )).
% 20.36/20.63 cnf(matrix-7000, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16567) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u16569), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16567)), hAPP(hAPP(c_List_Olist_OCons(_u16569), _u16571), _u16573)) = hAPP(hAPP(c_List_Odrop(_u16569), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16567)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u16573)) )).
% 20.36/20.63 cnf(matrix-7001, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16574), _u16575)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16576)), _u16577))) | ( hAPP(hAPP(c_List_Otake(_u16576), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16574), _u16575)), _u16577) = hAPP(hAPP(c_List_Oappend(_u16576), hAPP(hAPP(c_List_Otake(_u16576), _u16574), _u16577)), hAPP(hAPP(c_List_Otake(_u16576), _u16575), hAPP(hAPP(c_List_Odrop(_u16576), _u16574), _u16577)))) )).
% 20.36/20.63 cnf(matrix-7002, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16578)), _u16579)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate1(_u16578), _u16579) = _u16579) )).
% 20.36/20.63 cnf(matrix-7003, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16580, _u16581), _u16582), hAPP(hAPP(c_List_Oappend(_u16581), _u16583), _u16584)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u16580, _u16581)), hAPP(hAPP(c_List_Ozip(_u16580, _u16581), hAPP(hAPP(c_List_Otake(_u16580), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16581)), _u16583)), _u16582)), _u16583)), hAPP(hAPP(c_List_Ozip(_u16580, _u16581), hAPP(hAPP(c_List_Odrop(_u16580), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16581)), _u16583)), _u16582)), _u16584))) )).
% 20.36/20.63 cnf(matrix-7004, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16585, _u16586), hAPP(hAPP(c_List_Oappend(_u16585), _u16587), _u16588)), _u16589) = hAPP(hAPP(c_List_Oappend(tc_prod(_u16585, _u16586)), hAPP(hAPP(c_List_Ozip(_u16585, _u16586), _u16587), hAPP(hAPP(c_List_Otake(_u16586), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16585)), _u16587)), _u16589))), hAPP(hAPP(c_List_Ozip(_u16585, _u16586), _u16588), hAPP(hAPP(c_List_Odrop(_u16586), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16585)), _u16587)), _u16589)))) )).
% 20.36/20.63 cnf(matrix-7005, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16590), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16591)), _u16592))) | ( _u16592 = hAPP(hAPP(c_List_Oappend(_u16591), hAPP(hAPP(c_List_Otake(_u16591), _u16590), _u16592)), hAPP(hAPP(c_List_Olist_OCons(_u16591), hAPP(hAPP(c_List_Onth(_u16591), _u16592), _u16590)), hAPP(hAPP(c_List_Odrop(_u16591), hAPP(c_Nat_OSuc, _u16590)), _u16592)))) )).
% 20.36/20.63 cnf(matrix-7006, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16593), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16594)), _u16595))) | ( hAPP(hAPP(c_List_Oappend(_u16594), hAPP(hAPP(c_List_Otake(_u16594), _u16593), _u16595)), hAPP(hAPP(c_List_Olist_OCons(_u16594), hAPP(c_List_Ohd(_u16594), hAPP(hAPP(c_List_Odrop(_u16594), _u16593), _u16595))), c_List_Olist_ONil(_u16594))) = hAPP(hAPP(c_List_Otake(_u16594), hAPP(c_Nat_OSuc, _u16593)), _u16595)) )).
% 20.36/20.63 cnf(matrix-7007, plain, ( ( _u16596 = c_List_Olist_ONil(_u16597)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16598), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16597)), _u16596))) | ( hAPP(c_List_Ohd(_u16597), hAPP(hAPP(c_List_Odrop(_u16597), _u16598), _u16596)) = hAPP(hAPP(c_List_Onth(_u16597), _u16596), _u16598)) )).
% 20.36/20.63 cnf(matrix-7008, plain, ( ( hAPP(c_List_Ohd(_u16599), hAPP(hAPP(c_List_Olist_OCons(_u16599), _u16600), _u16601)) = _u16600) )).
% 20.36/20.63 cnf(matrix-7009, plain, ( ( _u16602 = c_List_Olist_ONil(_u16603)) | ( hAPP(c_List_Ohd(_u16603), hAPP(hAPP(c_List_Oappend(_u16603), _u16602), _u16604)) = hAPP(c_List_Ohd(_u16603), _u16602)) )).
% 20.36/20.63 cnf(matrix-7010, plain, ( ( _u16608 != c_List_Olist_ONil(_u16610)) | ( hAPP(c_List_Ohd(_u16610), hAPP(hAPP(c_List_Oappend(_u16610), _u16608), _u16612)) = hAPP(c_List_Ohd(_u16610), _u16612)) )).
% 20.36/20.63 cnf(matrix-7011, plain, ( ( _u16609 = c_List_Olist_ONil(_u16611)) | ( hAPP(c_List_Ohd(_u16611), hAPP(hAPP(c_List_Oappend(_u16611), _u16609), _u16613)) = hAPP(c_List_Ohd(_u16611), _u16609)) )).
% 20.36/20.63 cnf(matrix-7012, plain, ( ( _u16614 = c_List_Olist_ONil(_u16615)) | hBOOL(hAPP(hAPP(c_member(_u16615), hAPP(c_List_Ohd(_u16615), _u16614)), hAPP(c_List_Oset(_u16615), _u16614))) )).
% 20.36/20.63 cnf(matrix-7013, plain, ( ( _u16616 = c_List_Olist_ONil(_u16617)) | ( hAPP(c_List_Ohd(_u16617), _u16616) = hAPP(hAPP(c_List_Onth(_u16617), _u16616), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.63 cnf(matrix-7014, plain, ( ( _u16618 = c_List_Olist_ONil(_u16619)) | ( hAPP(c_List_Orotate1(_u16619), _u16618) = hAPP(hAPP(c_List_Oappend(_u16619), hAPP(c_List_Otl(_u16619), _u16618)), hAPP(hAPP(c_List_Olist_OCons(_u16619), hAPP(c_List_Ohd(_u16619), _u16618)), c_List_Olist_ONil(_u16619)))) )).
% 20.36/20.63 cnf(matrix-7015, plain, ( ( _u16620 = c_List_Olist_ONil(_u16621)) | ( hAPP(c_List_Ohd(_u16621), hAPP(c_List_Orotate(_u16621, _u16622), _u16620)) = hAPP(hAPP(c_List_Onth(_u16621), _u16620), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16622, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16621)), _u16620)))) )).
% 20.36/20.63 cnf(matrix-7016, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16623), _u16624), hAPP(c_List_Otl(_u16623), _u16625)) = hAPP(c_List_Otl(_u16623), hAPP(hAPP(c_List_Odrop(_u16623), _u16624), _u16625))) )).
% 20.36/20.63 cnf(matrix-7017, plain, ( ( hAPP(c_List_Otl(_u16626), hAPP(hAPP(c_List_Odrop(_u16626), _u16627), _u16628)) = hAPP(hAPP(c_List_Odrop(_u16626), _u16627), hAPP(c_List_Otl(_u16626), _u16628))) )).
% 20.36/20.63 cnf(matrix-7018, plain, ( ( hAPP(c_List_Otl(_u16629), hAPP(hAPP(c_List_Olist_OCons(_u16629), _u16630), _u16631)) = _u16631) )).
% 20.36/20.63 cnf(matrix-7019, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16632), _u16633)) | hBOOL(hAPP(c_List_Odistinct(_u16632), hAPP(c_List_Otl(_u16632), _u16633))) )).
% 20.36/20.63 cnf(matrix-7020, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16637), hAPP(c_List_Orotate(_u16637, _u16639), _u16641))) | hBOOL(hAPP(c_List_Odistinct(_u16637), _u16641)) )).
% 20.36/20.63 cnf(matrix-7021, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16638), _u16642)) | hBOOL(hAPP(c_List_Odistinct(_u16638), hAPP(c_List_Orotate(_u16638, _u16640), _u16642))) )).
% 20.36/20.63 cnf(matrix-7022, plain, ( ( hAPP(c_List_Orotate(_u16643, _u16644), hAPP(c_List_Orotate(_u16643, _u16645), _u16646)) = hAPP(c_List_Orotate(_u16643, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16644), _u16645)), _u16646)) )).
% 20.36/20.63 cnf(matrix-7023, plain, ( ( c_List_Orotate(_u16647, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(_u16647))) )).
% 20.36/20.63 cnf(matrix-7024, plain, ( ( c_List_Orotate(_u16648, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16649), _u16650)) = hAPP(c_Fun_Ocomp(tc_List_Olist(_u16648), tc_List_Olist(_u16648), tc_List_Olist(_u16648), c_List_Orotate(_u16648, _u16649)), c_List_Orotate(_u16648, _u16650))) )).
% 20.36/20.63 cnf(matrix-7025, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16651)), hAPP(c_List_Orotate(_u16651, _u16652), _u16653)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16651)), _u16653)) )).
% 20.36/20.63 cnf(matrix-7026, plain, ( ( hAPP(c_List_Oset(_u16654), hAPP(c_List_Orotate(_u16654, _u16655), _u16656)) = hAPP(c_List_Oset(_u16654), _u16656)) )).
% 20.36/20.63 cnf(matrix-7027, plain, ( ( hAPP(c_List_Otl(_u16657), c_List_Olist_ONil(_u16657)) = c_List_Olist_ONil(_u16657)) )).
% 20.36/20.63 cnf(matrix-7028, plain, ( ( hAPP(c_List_Orotate(_u16661, _u16663), _u16665) != c_List_Olist_ONil(_u16661)) | ( _u16665 = c_List_Olist_ONil(_u16661)) )).
% 20.36/20.63 cnf(matrix-7029, plain, ( ( _u16666 != c_List_Olist_ONil(_u16662)) | ( hAPP(c_List_Orotate(_u16662, _u16664), _u16666) = c_List_Olist_ONil(_u16662)) )).
% 20.36/20.63 cnf(matrix-7030, plain, ( ( c_List_Orotate(_u16667, _u16668) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(_u16667), tc_List_Olist(_u16667)), _u16668), c_List_Orotate1(_u16667))) )).
% 20.36/20.63 cnf(matrix-7031, plain, ( ( hAPP(c_List_Orotate1(_u16669), hAPP(c_List_Orotate(_u16669, _u16670), _u16671)) = hAPP(c_List_Orotate(_u16669, _u16670), hAPP(c_List_Orotate1(_u16669), _u16671))) )).
% 20.36/20.63 cnf(matrix-7032, plain, ( ( _u16672 = c_List_Olist_ONil(_u16673)) | ( hAPP(c_List_Otl(_u16673), hAPP(hAPP(c_List_Oappend(_u16673), _u16672), _u16674)) = hAPP(hAPP(c_List_Oappend(_u16673), hAPP(c_List_Otl(_u16673), _u16672)), _u16674)) )).
% 20.36/20.63 cnf(matrix-7033, plain, ( ( hAPP(hAPP(c_List_Otake(_u16675), _u16676), hAPP(c_List_Otl(_u16675), _u16677)) = hAPP(c_List_Otl(_u16675), hAPP(hAPP(c_List_Otake(_u16675), hAPP(c_Nat_OSuc, _u16676)), _u16677))) )).
% 20.36/20.63 cnf(matrix-7034, plain, ( ( hAPP(c_List_Orotate(_u16678, _u16679), _u16680) = hAPP(c_List_Orotate(_u16678, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16679, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16678)), _u16680))), _u16680)) )).
% 20.36/20.63 cnf(matrix-7035, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16681), hAPP(c_Nat_OSuc, _u16682)), _u16683) = hAPP(hAPP(c_List_Odrop(_u16681), _u16682), hAPP(c_List_Otl(_u16681), _u16683))) )).
% 20.36/20.63 cnf(matrix-7036, plain, ( ( hAPP(c_List_Orotate(_u16684, hAPP(c_Nat_OSuc, _u16685)), _u16686) = hAPP(c_List_Orotate1(_u16684), hAPP(c_List_Orotate(_u16684, _u16685), _u16686))) )).
% 20.36/20.63 cnf(matrix-7037, plain, ( ( hAPP(c_List_Otl(_u16687), hAPP(hAPP(c_List_Oappend(_u16687), _u16688), _u16689)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u16687), _u16687, hAPP(c_List_Otl(_u16687), _u16689), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u16687), tc_List_Olist(_u16687)), _u16687), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16687), tc_List_Olist(_u16687), tc_List_Olist(_u16687)), c_List_Oappend(_u16687)), _u16689))), _u16688)) )).
% 20.36/20.63 cnf(matrix-7038, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16690, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16691)), _u16692)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Orotate(_u16691, _u16690), _u16692) = _u16692) )).
% 20.36/20.63 cnf(matrix-7039, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16693)), _u16694)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate(_u16693, _u16695), _u16694) = _u16694) )).
% 20.36/20.63 cnf(matrix-7040, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16696)), hAPP(c_List_Otl(_u16696), _u16697)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16696)), _u16697)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 20.36/20.63 cnf(matrix-7041, plain, ( ( hAPP(c_List_Otl(_u16698), hAPP(hAPP(c_List_Otake(_u16698), _u16699), _u16700)) = hAPP(hAPP(c_List_Otake(_u16698), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16699), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_List_Otl(_u16698), _u16700))) )).
% 20.36/20.63 cnf(matrix-7042, plain, ( ( _u16701 = c_List_Olist_ONil(_u16702)) | ( hAPP(hAPP(c_List_Otake(_u16702), hAPP(c_Nat_OSuc, _u16703)), _u16701) = hAPP(hAPP(c_List_Olist_OCons(_u16702), hAPP(c_List_Ohd(_u16702), _u16701)), hAPP(hAPP(c_List_Otake(_u16702), _u16703), hAPP(c_List_Otl(_u16702), _u16701)))) )).
% 20.36/20.63 cnf(matrix-7043, plain, ( ( hAPP(c_List_Orotate(_u16704, _u16705), _u16706) = hAPP(hAPP(c_List_Oappend(_u16704), hAPP(hAPP(c_List_Odrop(_u16704), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16705, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16704)), _u16706))), _u16706)), hAPP(hAPP(c_List_Otake(_u16704), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16705, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16704)), _u16706))), _u16706))) )).
% 20.36/20.63 cnf(matrix-7044, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u16707) | ( _u16708 = c_List_Olist_ONil(_u16707)) | ( hAPP(c_Finite__Set_Ofold1(_u16707, c_Groups_Otimes__class_Otimes(_u16707)), hAPP(c_List_Oset(_u16707), _u16708)) = hAPP(c_List_Ofoldl(_u16707, _u16707, c_Groups_Otimes__class_Otimes(_u16707), hAPP(c_List_Ohd(_u16707), _u16708)), hAPP(c_List_Otl(_u16707), _u16708))) )).
% 20.36/20.63 cnf(matrix-7045, plain, ( ( _u16711 != hAPP(hAPP(c_List_Olist_OCons(_u16712), _u16710), _u16709)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16712), tc_List_Olist(_u16712))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16712), tc_List_Olist(_u16712)), _u16713), hAPP(hAPP(c_List_Oappend(_u16712), _u16713), _u16711))), c_List_Olexord(_u16712, _u16714))) )).
% 20.36/20.63 cnf(matrix-7046, plain, ( ( hAPP(c_List_Ofoldl(_u16715, _u16716, _u16717, _u16718), c_List_Olist_ONil(_u16716)) = _u16718) )).
% 20.36/20.63 cnf(matrix-7047, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16719), _u16720)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16719), hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16720), _u16721))) )).
% 20.36/20.63 cnf(matrix-7048, plain, ( ~class_Groups_Osemigroup__add(_u16722) | ( hAPP(c_List_Ofoldl(_u16722, _u16722, c_Groups_Oplus__class_Oplus(_u16722), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16722), _u16723), _u16724)), _u16725) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16722), _u16723), hAPP(c_List_Ofoldl(_u16722, _u16722, c_Groups_Oplus__class_Oplus(_u16722), _u16724), _u16725))) )).
% 20.36/20.63 cnf(matrix-7049, plain, ( ~class_Groups_Omonoid__add(_u16726) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16726), _u16727), hAPP(c_List_Ofoldl(_u16726, _u16726, c_Groups_Oplus__class_Oplus(_u16726), c_Groups_Ozero__class_Ozero(_u16726)), _u16728)) = hAPP(c_List_Ofoldl(_u16726, _u16726, c_Groups_Oplus__class_Oplus(_u16726), _u16727), _u16728)) )).
% 20.36/20.63 cnf(matrix-7050, plain, ( ( hAPP(c_List_Ofoldl(_u16729, _u16730, _u16731, _u16732), hAPP(hAPP(c_List_Olist_OCons(_u16730), _u16733), _u16734)) = hAPP(c_List_Ofoldl(_u16729, _u16730, _u16731, hAPP(hAPP(_u16731, _u16732), _u16733)), _u16734)) )).
% 20.36/20.63 cnf(matrix-7051, plain, ( ( hAPP(c_List_Ofoldl(_u16735, _u16736, _u16737, _u16738), hAPP(hAPP(c_List_Oappend(_u16736), _u16739), _u16740)) = hAPP(c_List_Ofoldl(_u16735, _u16736, _u16737, hAPP(c_List_Ofoldl(_u16735, _u16736, _u16737, _u16738), _u16739)), _u16740)) )).
% 20.36/20.63 cnf(matrix-7052, plain, ( ~class_Groups_Omonoid__add(_u16741) | ( c_List_Omonoid__add__class_Olistsum(_u16741) = c_List_Ofoldl(_u16741, _u16741, c_Groups_Oplus__class_Oplus(_u16741), c_Groups_Ozero__class_Ozero(_u16741))) )).
% 20.36/20.63 cnf(matrix-7053, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16746), _u16748) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16746 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.63 cnf(matrix-7054, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16746), _u16748) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u16742), hAPP(c_List_Oset(tc_Nat_Onat), _u16748))) | ( _u16742 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.63 cnf(matrix-7055, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16747), _u16749) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16747 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem433(_u16749, _u16747)), hAPP(c_List_Oset(tc_Nat_Onat), _u16749))) )).
% 20.36/20.63 cnf(matrix-7056, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16747), _u16749) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16747 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem433(_u16749, _u16747) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.63 cnf(matrix-7057, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u16750, _u16751, _u16752) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16750, _u16751, _u16752), _u16753), hAPP(c_List_Oset(_u16750), _u16754)) = hAPP(c_List_Ofoldl(_u16751, _u16750, hAPP(c_COMBC(_u16750, _u16751, _u16751), _u16752), _u16753), _u16754)) )).
% 20.36/20.63 cnf(matrix-7058, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16755) | ( c_Complete__Lattice_OSup__class_OSup(_u16755, hAPP(c_List_Oset(_u16755), _u16756)) = hAPP(c_List_Ofoldl(_u16755, _u16755, c_Lattices_Osemilattice__sup__class_Osup(_u16755), c_Orderings_Obot__class_Obot(_u16755)), _u16756)) )).
% 20.36/20.63 cnf(matrix-7059, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16757) | ( c_Complete__Lattice_OInf__class_OInf(_u16757, hAPP(c_List_Oset(_u16757), _u16758)) = hAPP(c_List_Ofoldl(_u16757, _u16757, c_Lattices_Osemilattice__inf__class_Oinf(_u16757), c_Orderings_Otop__class_Otop(_u16757)), _u16758)) )).
% 20.36/20.63 cnf(matrix-7060, plain, ( ~class_Lattices_Olattice(_u16759) | ( c_Big__Operators_Olattice__class_OSup__fin(_u16759, hAPP(c_List_Oset(_u16759), hAPP(hAPP(c_List_Olist_OCons(_u16759), _u16760), _u16761))) = hAPP(c_List_Ofoldl(_u16759, _u16759, c_Lattices_Osemilattice__sup__class_Osup(_u16759), _u16760), _u16761)) )).
% 20.36/20.63 cnf(matrix-7061, plain, ( ~class_Lattices_Olattice(_u16762) | ( c_Big__Operators_Olattice__class_OInf__fin(_u16762, hAPP(c_List_Oset(_u16762), hAPP(hAPP(c_List_Olist_OCons(_u16762), _u16763), _u16764))) = hAPP(c_List_Ofoldl(_u16762, _u16762, c_Lattices_Osemilattice__inf__class_Oinf(_u16762), _u16763), _u16764)) )).
% 20.36/20.63 cnf(matrix-7062, plain, ( ~class_Orderings_Olinorder(_u16765) | ( c_Big__Operators_Olinorder__class_OMin(_u16765, hAPP(c_List_Oset(_u16765), hAPP(hAPP(c_List_Olist_OCons(_u16765), _u16766), _u16767))) = hAPP(c_List_Ofoldl(_u16765, _u16765, c_Orderings_Oord__class_Omin(_u16765), _u16766), _u16767)) )).
% 20.36/20.63 cnf(matrix-7063, plain, ( ~class_Orderings_Olinorder(_u16768) | ( c_Big__Operators_Olinorder__class_OMax(_u16768, hAPP(c_List_Oset(_u16768), hAPP(hAPP(c_List_Olist_OCons(_u16768), _u16769), _u16770))) = hAPP(c_List_Ofoldl(_u16768, _u16768, c_Orderings_Oord__class_Omax(_u16768), _u16769), _u16770)) )).
% 20.36/20.63 cnf(matrix-7064, plain, ( ~class_Orderings_Olinorder(_u16771) | ( c_Big__Operators_Olattice_OInf__fin(_u16771, c_Orderings_Oord__class_Omin(_u16771), hAPP(c_List_Oset(_u16771), hAPP(hAPP(c_List_Olist_OCons(_u16771), _u16772), _u16773))) = hAPP(c_List_Ofoldl(_u16771, _u16771, c_Orderings_Oord__class_Omin(_u16771), _u16772), _u16773)) )).
% 20.36/20.63 cnf(matrix-7065, plain, ( ~class_Orderings_Olinorder(_u16774) | ( c_Big__Operators_Olattice_OSup__fin(_u16774, c_Orderings_Oord__class_Omax(_u16774), hAPP(c_List_Oset(_u16774), hAPP(hAPP(c_List_Olist_OCons(_u16774), _u16775), _u16776))) = hAPP(c_List_Ofoldl(_u16774, _u16774, c_Orderings_Oord__class_Omax(_u16774), _u16775), _u16776)) )).
% 20.36/20.63 cnf(matrix-7066, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16777) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16778, _u16777), hAPP(c_List_Oset(_u16778), _u16779)), _u16780) = hAPP(c_List_Ofoldl(_u16777, _u16778, hAPP(c_COMBC(_u16778, _u16777, _u16777), hAPP(hAPP(c_COMBB(_u16777, tc_fun(_u16777, _u16777), _u16778), c_Lattices_Osemilattice__sup__class_Osup(_u16777)), _u16780)), c_Orderings_Obot__class_Obot(_u16777)), _u16779)) )).
% 20.36/20.63 cnf(matrix-7067, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16781) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16782, _u16781), hAPP(c_List_Oset(_u16782), _u16783)), _u16784) = hAPP(c_List_Ofoldl(_u16781, _u16782, hAPP(c_COMBC(_u16782, _u16781, _u16781), hAPP(hAPP(c_COMBB(_u16781, tc_fun(_u16781, _u16781), _u16782), c_Lattices_Osemilattice__inf__class_Oinf(_u16781)), _u16784)), c_Orderings_Otop__class_Otop(_u16781)), _u16783)) )).
% 20.36/20.63 cnf(matrix-7068, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u16785), hAPP(c_List_Oset(tc_Nat_Onat), _u16786))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16785), 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)), _u16786))) )).
% 20.36/20.63 cnf(matrix-7069, plain, ( ~class_Orderings_Olinorder(_u16787) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16787), _u16788)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u16787, hAPP(hAPP(c_Set_Oinsert(_u16787), _u16789), _u16788)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16787, _u16787, c_COMBI(_u16787)), _u16789), c_List_Olinorder__class_Osorted__list__of__set(_u16787, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16787, tc_HOL_Obool)), _u16788), hAPP(hAPP(c_Set_Oinsert(_u16787), _u16789), c_Orderings_Obot__class_Obot(tc_fun(_u16787, tc_HOL_Obool))))))) )).
% 20.36/20.63 cnf(matrix-7070, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16797), tc_List_Olist(_u16797))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16797), tc_List_Olist(_u16797)), c_List_Olist_ONil(_u16797)), _u16799)), c_List_Olexord(_u16797, _u16801))) | ( _u16799 = hAPP(hAPP(c_List_Olist_OCons(_u16797), skolem434(_u16801, _u16799, _u16797)), skolem435(_u16801, _u16799, _u16797))) )).
% 20.36/20.63 cnf(matrix-7071, plain, ( ( _u16800 != hAPP(hAPP(c_List_Olist_OCons(_u16798), _u16793), _u16792)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16798), tc_List_Olist(_u16798))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16798), tc_List_Olist(_u16798)), c_List_Olist_ONil(_u16798)), _u16800)), c_List_Olexord(_u16798, _u16802))) )).
% 20.36/20.63 cnf(matrix-7072, plain, ( ~class_Orderings_Olinorder(_u16803) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16804, _u16803, _u16805), _u16806), c_List_Olist_ONil(_u16804)) = hAPP(hAPP(c_List_Olist_OCons(_u16804), _u16806), c_List_Olist_ONil(_u16804))) )).
% 20.36/20.63 cnf(matrix-7073, plain, ( ~class_Orderings_Olinorder(_u16807) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16807), hAPP(_u16808, _u16809)), hAPP(_u16808, _u16810))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16811, _u16807, _u16808), _u16809), hAPP(hAPP(c_List_Olist_OCons(_u16811), _u16810), _u16812)) = hAPP(hAPP(c_List_Olist_OCons(_u16811), _u16809), hAPP(hAPP(c_List_Olist_OCons(_u16811), _u16810), _u16812))) )).
% 20.36/20.63 cnf(matrix-7074, plain, ( ~class_Orderings_Olinorder(_u16807) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16807), hAPP(_u16808, _u16809)), hAPP(_u16808, _u16810))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16811, _u16807, _u16808), _u16809), hAPP(hAPP(c_List_Olist_OCons(_u16811), _u16810), _u16812)) = hAPP(hAPP(c_List_Olist_OCons(_u16811), _u16810), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16811, _u16807, _u16808), _u16809), _u16812))) )).
% 20.36/20.63 cnf(matrix-7075, plain, ( ~class_Orderings_Olinorder(_u16813) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16814)), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16814, _u16813, _u16815), _u16816), _u16817)) = hAPP(c_Nat_OSuc, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16814)), _u16817))) )).
% 20.36/20.63 cnf(matrix-7076, plain, ( ~class_Orderings_Olinorder(_u16818) | ( hAPP(_u16819, _u16820) = hAPP(_u16819, _u16821)) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16822, _u16818, _u16819), _u16821), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16822, _u16818, _u16819), _u16820), _u16823)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16822, _u16818, _u16819), _u16820), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16822, _u16818, _u16819), _u16821), _u16823))) )).
% 20.36/20.63 cnf(matrix-7077, plain, ( ~class_Orderings_Olinorder(_u16824) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16824, _u16824, c_COMBI(_u16824)), _u16825), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16824, _u16824, c_COMBI(_u16824)), _u16826), _u16827)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16824, _u16824, c_COMBI(_u16824)), _u16826), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16824, _u16824, c_COMBI(_u16824)), _u16825), _u16827))) )).
% 20.36/20.63 cnf(matrix-7078, plain, ( ~class_Orderings_Olinorder(_u16828) | c_Finite__Set_Ofun__left__comm(_u16828, tc_List_Olist(_u16828), c_List_Olinorder__class_Oinsort__key(_u16828, _u16828, c_COMBI(_u16828))) )).
% 20.36/20.63 cnf(matrix-7079, plain, ( ~class_Orderings_Olinorder(_u16829) | ( hAPP(c_List_Oset(_u16830), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16830, _u16829, _u16831), _u16832), _u16833)) = hAPP(hAPP(c_Set_Oinsert(_u16830), _u16832), hAPP(c_List_Oset(_u16830), _u16833))) )).
% 20.36/20.63 cnf(matrix-7080, plain, ( ~class_Orderings_Olinorder(_u16834) | ( c_List_Oremove1(_u16834, _u16835, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16834, _u16834, c_COMBI(_u16834)), _u16835), _u16836)) = _u16836) )).
% 20.36/20.63 cnf(matrix-7081, plain, ( ~class_Orderings_Olinorder(_u16837) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16838, _u16837, _u16839), _u16840), _u16841) != c_List_Olist_ONil(_u16838)) )).
% 20.36/20.63 cnf(matrix-7082, plain, ( ~class_Orderings_Olinorder(_u16842) | ~hBOOL(hAPP(c_List_Odistinct(_u16843), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16843, _u16842, _u16844), _u16845), _u16846))) | ~hBOOL(hAPP(hAPP(c_member(_u16843), _u16845), hAPP(c_List_Oset(_u16843), _u16846))) )).
% 20.36/20.63 cnf(matrix-7083, plain, ( ~class_Orderings_Olinorder(_u16842) | ~hBOOL(hAPP(c_List_Odistinct(_u16843), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16843, _u16842, _u16844), _u16845), _u16846))) | hBOOL(hAPP(c_List_Odistinct(_u16843), _u16846)) )).
% 20.36/20.63 cnf(matrix-7084, plain, ( ~class_Orderings_Olinorder(_u16842) | hBOOL(hAPP(hAPP(c_member(_u16843), _u16845), hAPP(c_List_Oset(_u16843), _u16846))) | ~hBOOL(hAPP(c_List_Odistinct(_u16843), _u16846)) | hBOOL(hAPP(c_List_Odistinct(_u16843), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16843, _u16842, _u16844), _u16845), _u16846))) )).
% 20.36/20.63 cnf(matrix-7085, plain, ( ~class_Orderings_Olinorder(_u16847) | hBOOL(hAPP(hAPP(c_member(_u16847), hAPP(_u16848, _u16849)), hAPP(c_Set_Oimage(_u16850, _u16847, _u16848), hAPP(c_List_Oset(_u16850), _u16851)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u16850, _u16847, _u16848, _u16849, _u16851) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16850, _u16847, _u16848), _u16849), _u16851)) )).
% 20.36/20.63 cnf(matrix-7086, plain, ( ~class_Orderings_Olinorder(_u16852) | hBOOL(hAPP(hAPP(c_member(_u16852), _u16853), hAPP(c_List_Oset(_u16852), _u16854))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u16852, _u16852, c_COMBI(_u16852), _u16853, _u16854) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16852, _u16852, c_COMBI(_u16852)), _u16853), _u16854)) )).
% 20.36/20.63 cnf(matrix-7087, plain, ( ~class_Orderings_Olinorder(_u16855) | ~hBOOL(hAPP(c_List_Odistinct(_u16856), _u16857)) | hBOOL(hAPP(c_List_Odistinct(_u16856), c_List_Olinorder__class_Oinsort__insert__key(_u16856, _u16855, _u16858, _u16859, _u16857))) )).
% 20.36/20.63 cnf(matrix-7088, plain, ( ~class_Orderings_Olinorder(_u16860) | ~hBOOL(hAPP(hAPP(c_member(_u16860), _u16861), hAPP(c_List_Oset(_u16860), _u16862))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u16860, _u16860, c_COMBI(_u16860), _u16861, _u16862) = _u16862) )).
% 20.36/20.63 cnf(matrix-7089, plain, ( ~class_Orderings_Olinorder(_u16863) | ( hAPP(c_List_Oset(_u16863), c_List_Olinorder__class_Oinsort__insert__key(_u16863, _u16863, c_COMBI(_u16863), _u16864, _u16865)) = hAPP(hAPP(c_Set_Oinsert(_u16863), _u16864), hAPP(c_List_Oset(_u16863), _u16865))) )).
% 20.36/20.63 cnf(matrix-7090, plain, ( ~class_Orderings_Olinorder(_u16866) | ~hBOOL(hAPP(hAPP(c_member(_u16866), hAPP(_u16867, _u16868)), hAPP(c_Set_Oimage(_u16869, _u16866, _u16867), hAPP(c_List_Oset(_u16869), _u16870)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u16869, _u16866, _u16867, _u16868, _u16870) = _u16870) )).
% 20.36/20.63 cnf(matrix-7091, plain, ( ( _u16871 = c_List_Olist_ONil(_u16872)) | ( _u16873 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16872)), _u16871)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u16872, hAPP(hAPP(c_List_Olist__update(_u16872, _u16871), _u16873), _u16874)) = _u16874) )).
% 20.36/20.63 cnf(matrix-7092, plain, ( ( _u16871 = c_List_Olist_ONil(_u16872)) | ( _u16873 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16872)), _u16871)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u16872, hAPP(hAPP(c_List_Olist__update(_u16872, _u16871), _u16873), _u16874)) = c_List_Olast(_u16872, _u16871)) )).
% 20.36/20.63 cnf(matrix-7093, plain, ( ( _u16875 = c_List_Olist_ONil(_u16876)) | ( c_List_Olast(_u16876, _u16875) = hAPP(hAPP(c_List_Onth(_u16876), _u16875), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16876)), _u16875)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 20.36/20.63 cnf(matrix-7094, plain, ( ( _u16880 != c_List_Olist_ONil(_u16882)) | ( c_List_Olast(_u16882, hAPP(hAPP(c_List_Olist_OCons(_u16882), _u16884), _u16880)) = _u16884) )).
% 20.36/20.63 cnf(matrix-7095, plain, ( ( _u16881 = c_List_Olist_ONil(_u16883)) | ( c_List_Olast(_u16883, hAPP(hAPP(c_List_Olist_OCons(_u16883), _u16885), _u16881)) = c_List_Olast(_u16883, _u16881)) )).
% 20.36/20.63 cnf(matrix-7096, plain, ( ( _u16886 = c_List_Olist_ONil(_u16887)) | ( c_List_Olast(_u16887, hAPP(hAPP(c_List_Olist_OCons(_u16887), _u16888), _u16886)) = c_List_Olast(_u16887, _u16886)) )).
% 20.36/20.63 cnf(matrix-7097, plain, ( ( _u16889 != c_List_Olist_ONil(_u16890)) | ( c_List_Olast(_u16890, hAPP(hAPP(c_List_Olist_OCons(_u16890), _u16891), _u16889)) = _u16891) )).
% 20.36/20.63 cnf(matrix-7098, plain, ( ( _u16895 != c_List_Olist_ONil(_u16897)) | ( c_List_Olast(_u16897, hAPP(hAPP(c_List_Oappend(_u16897), _u16899), _u16895)) = c_List_Olast(_u16897, _u16899)) )).
% 20.36/20.63 cnf(matrix-7099, plain, ( ( _u16896 = c_List_Olist_ONil(_u16898)) | ( c_List_Olast(_u16898, hAPP(hAPP(c_List_Oappend(_u16898), _u16900), _u16896)) = c_List_Olast(_u16898, _u16896)) )).
% 20.36/20.63 cnf(matrix-7100, plain, ( ( _u16901 = c_List_Olist_ONil(_u16902)) | ( c_List_Olast(_u16902, hAPP(hAPP(c_List_Oappend(_u16902), _u16903), _u16901)) = c_List_Olast(_u16902, _u16901)) )).
% 20.36/20.63 cnf(matrix-7101, plain, ( ( _u16904 != c_List_Olist_ONil(_u16905)) | ( c_List_Olast(_u16905, hAPP(hAPP(c_List_Oappend(_u16905), _u16906), _u16904)) = c_List_Olast(_u16905, _u16906)) )).
% 20.36/20.63 cnf(matrix-7102, plain, ( ( _u16907 = c_List_Olist_ONil(_u16908)) | hBOOL(hAPP(hAPP(c_member(_u16908), c_List_Olast(_u16908, _u16907)), hAPP(c_List_Oset(_u16908), _u16907))) )).
% 20.36/20.63 cnf(matrix-7103, plain, ( ( c_List_Olast(_u16909, hAPP(hAPP(c_List_Oappend(_u16909), _u16910), hAPP(hAPP(c_List_Olist_OCons(_u16909), _u16911), c_List_Olist_ONil(_u16909)))) = _u16911) )).
% 20.36/20.63 cnf(matrix-7104, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16912), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16913)), _u16914))) | ( c_List_Olast(_u16913, hAPP(hAPP(c_List_Odrop(_u16913), _u16912), _u16914)) = c_List_Olast(_u16913, _u16914)) )).
% 20.36/20.63 cnf(matrix-7105, plain, ( ( _u16915 = c_List_Olist_ONil(_u16916)) | ( hAPP(hAPP(c_List_Oappend(_u16916), c_List_Obutlast(_u16916, _u16915)), hAPP(hAPP(c_List_Olist_OCons(_u16916), c_List_Olast(_u16916, _u16915)), c_List_Olist_ONil(_u16916))) = _u16915) )).
% 20.36/20.63 cnf(matrix-7106, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16921), _u16923), hAPP(hAPP(c_List_Olist_OCons(_u16921), _u16925), c_List_Olist_ONil(_u16921))) != _u16927) | ( _u16927 != c_List_Olist_ONil(_u16921)) )).
% 20.36/20.63 cnf(matrix-7107, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16921), _u16923), hAPP(hAPP(c_List_Olist_OCons(_u16921), _u16925), c_List_Olist_ONil(_u16921))) != _u16927) | ( c_List_Obutlast(_u16921, _u16927) = _u16923) )).
% 20.36/20.63 cnf(matrix-7108, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16921), _u16923), hAPP(hAPP(c_List_Olist_OCons(_u16921), _u16925), c_List_Olist_ONil(_u16921))) != _u16927) | ( c_List_Olast(_u16921, _u16927) = _u16925) )).
% 20.36/20.63 cnf(matrix-7109, plain, ( ( _u16928 = c_List_Olist_ONil(_u16922)) | ( c_List_Obutlast(_u16922, _u16928) != _u16924) | ( c_List_Olast(_u16922, _u16928) != _u16926) | ( hAPP(hAPP(c_List_Oappend(_u16922), _u16924), hAPP(hAPP(c_List_Olist_OCons(_u16922), _u16926), c_List_Olist_ONil(_u16922))) = _u16928) )).
% 20.36/20.63 cnf(matrix-7110, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16936)), _u16938), c_List_Olists(_u16936, _u16940))) | ( _u16938 = c_List_Olist_ONil(_u16936)) | hBOOL(hAPP(hAPP(c_member(_u16936), skolem436(_u16940, _u16938, _u16936)), _u16940)) )).
% 20.36/20.63 cnf(matrix-7111, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16936)), _u16938), c_List_Olists(_u16936, _u16940))) | ( _u16938 = c_List_Olist_ONil(_u16936)) | ( _u16938 = hAPP(hAPP(c_List_Olist_OCons(_u16936), skolem436(_u16940, _u16938, _u16936)), skolem437(_u16940, _u16938, _u16936))) )).
% 20.36/20.63 cnf(matrix-7112, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16936)), _u16938), c_List_Olists(_u16936, _u16940))) | ( _u16938 = c_List_Olist_ONil(_u16936)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16936)), skolem437(_u16940, _u16938, _u16936)), c_List_Olists(_u16936, _u16940))) )).
% 20.36/20.63 cnf(matrix-7113, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16937)), _u16939), c_List_Olists(_u16937, _u16941))) | ( _u16939 != c_List_Olist_ONil(_u16937)) )).
% 20.36/20.63 cnf(matrix-7114, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16937)), _u16939), c_List_Olists(_u16937, _u16941))) | ~hBOOL(hAPP(hAPP(c_member(_u16937), _u16932), _u16941)) | ( _u16939 != hAPP(hAPP(c_List_Olist_OCons(_u16937), _u16932), _u16931)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16937)), _u16931), c_List_Olists(_u16937, _u16941))) )).
% 20.36/20.63 cnf(matrix-7115, plain, ( ( _u16942 = c_List_Olist_ONil(_u16943)) | ( c_Random_Oselect__weight(_u16943, hAPP(hAPP(c_List_Omap(_u16943, tc_prod(tc_Code__Numeral_Ocode__numeral, _u16943)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u16943), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u16942)) = c_Random_Oselect(_u16943, _u16942)) )).
% 20.36/20.63 cnf(matrix-7116, plain, ( ~c_Fun_Oinj__on(_u16944, _u16945, _u16946, c_Orderings_Otop__class_Otop(tc_fun(_u16944, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u16944), tc_List_Olist(_u16945), hAPP(c_List_Omap(_u16944, _u16945), _u16946), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u16944), tc_HOL_Obool))) )).
% 20.36/20.63 cnf(matrix-7117, plain, ( ( _u16947 = c_List_Olist_ONil(_u16948)) | ( c_List_Olast(_u16949, hAPP(hAPP(c_List_Omap(_u16948, _u16949), _u16950), _u16947)) = hAPP(_u16950, c_List_Olast(_u16948, _u16947))) )).
% 20.36/20.63 cnf(matrix-7118, plain, ( ( hAPP(c_List_Ofoldl(_u16951, _u16952, _u16953, _u16954), hAPP(hAPP(c_List_Omap(_u16955, _u16952), _u16956), _u16957)) = hAPP(c_List_Ofoldl(_u16951, _u16955, hAPP(hAPP(c_COMBC(_u16951, tc_fun(_u16955, _u16952), tc_fun(_u16955, _u16951)), hAPP(hAPP(c_COMBB(tc_fun(_u16952, _u16951), tc_fun(tc_fun(_u16955, _u16952), tc_fun(_u16955, _u16951)), _u16951), c_COMBB(_u16952, _u16951, _u16955)), _u16953)), _u16956), _u16954), _u16957)) )).
% 20.36/20.63 cnf(matrix-7119, plain, ( ( hAPP(c_List_Orotate(_u16958, _u16959), hAPP(hAPP(c_List_Omap(_u16960, _u16958), _u16961), _u16962)) = hAPP(hAPP(c_List_Omap(_u16960, _u16958), _u16961), hAPP(c_List_Orotate(_u16960, _u16959), _u16962))) )).
% 20.36/20.63 cnf(matrix-7120, plain, ( ( hAPP(hAPP(c_List_Omap(_u16963, _u16964), _u16965), hAPP(c_List_Otl(_u16963), _u16966)) = hAPP(c_List_Otl(_u16964), hAPP(hAPP(c_List_Omap(_u16963, _u16964), _u16965), _u16966))) )).
% 20.36/20.63 cnf(matrix-7121, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16967, _u16968), _u16969), hAPP(hAPP(c_List_Omap(_u16970, _u16968), _u16971), _u16972)) = hAPP(hAPP(c_List_Omap(tc_prod(_u16967, _u16970), tc_prod(_u16967, _u16968)), hAPP(c_Product__Type_Oprod_Oprod__case(_u16967, _u16970, tc_prod(_u16967, _u16968)), hAPP(hAPP(c_COMBC(_u16967, tc_fun(_u16970, _u16968), tc_fun(_u16970, tc_prod(_u16967, _u16968))), hAPP(hAPP(c_COMBB(tc_fun(_u16968, tc_prod(_u16967, _u16968)), tc_fun(tc_fun(_u16970, _u16968), tc_fun(_u16970, tc_prod(_u16967, _u16968))), _u16967), c_COMBB(_u16968, tc_prod(_u16967, _u16968), _u16970)), c_Product__Type_OPair(_u16967, _u16968))), _u16971))), hAPP(hAPP(c_List_Ozip(_u16967, _u16970), _u16969), _u16972))) )).
% 20.36/20.63 cnf(matrix-7122, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u16973, _u16974), _u16975), _u16976), hAPP(hAPP(c_List_Ozip(_u16973, _u16974), _u16977), hAPP(hAPP(c_List_Omap(_u16978, _u16974), _u16979), _u16980))) = hAPP(hAPP(c_List_Omap(tc_prod(_u16973, _u16978), _u16975), hAPP(c_Product__Type_Oprod_Oprod__case(_u16973, _u16978, _u16975), hAPP(hAPP(c_COMBB(tc_fun(_u16978, tc_prod(_u16973, _u16974)), tc_fun(_u16978, _u16975), _u16973), hAPP(c_COMBB(tc_prod(_u16973, _u16974), _u16975, _u16978), _u16976)), hAPP(hAPP(c_COMBC(_u16973, tc_fun(_u16978, _u16974), tc_fun(_u16978, tc_prod(_u16973, _u16974))), hAPP(hAPP(c_COMBB(tc_fun(_u16974, tc_prod(_u16973, _u16974)), tc_fun(tc_fun(_u16978, _u16974), tc_fun(_u16978, tc_prod(_u16973, _u16974))), _u16973), c_COMBB(_u16974, tc_prod(_u16973, _u16974), _u16978)), c_Product__Type_OPair(_u16973, _u16974))), _u16979)))), hAPP(hAPP(c_List_Ozip(_u16973, _u16978), _u16977), _u16980))) )).
% 20.36/20.63 cnf(matrix-7123, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u16981, _u16982), _u16983), _u16984), hAPP(hAPP(c_List_Ozip(_u16981, _u16982), hAPP(hAPP(c_List_Omap(_u16985, _u16981), _u16986), _u16987)), _u16988)) = hAPP(hAPP(c_List_Omap(tc_prod(_u16985, _u16982), _u16983), hAPP(c_Product__Type_Oprod_Oprod__case(_u16985, _u16982, _u16983), hAPP(hAPP(c_COMBB(tc_fun(_u16982, tc_prod(_u16981, _u16982)), tc_fun(_u16982, _u16983), _u16985), hAPP(c_COMBB(tc_prod(_u16981, _u16982), _u16983, _u16982), _u16984)), hAPP(hAPP(c_COMBB(_u16981, tc_fun(_u16982, tc_prod(_u16981, _u16982)), _u16985), c_Product__Type_OPair(_u16981, _u16982)), _u16986)))), hAPP(hAPP(c_List_Ozip(_u16985, _u16982), _u16987), _u16988))) )).
% 20.36/20.63 cnf(matrix-7124, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16989, _u16990), hAPP(hAPP(c_List_Omap(_u16991, _u16989), _u16992), _u16993)), _u16994) = hAPP(hAPP(c_List_Omap(tc_prod(_u16991, _u16990), tc_prod(_u16989, _u16990)), hAPP(c_Product__Type_Oprod_Oprod__case(_u16991, _u16990, tc_prod(_u16989, _u16990)), hAPP(hAPP(c_COMBB(_u16989, tc_fun(_u16990, tc_prod(_u16989, _u16990)), _u16991), c_Product__Type_OPair(_u16989, _u16990)), _u16992))), hAPP(hAPP(c_List_Ozip(_u16991, _u16990), _u16993), _u16994))) )).
% 20.36/20.63 cnf(matrix-7125, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16995, _u16996), hAPP(hAPP(c_List_Omap(_u16997, _u16995), _u16998), _u16999)), hAPP(hAPP(c_List_Omap(_u17000, _u16996), _u17001), _u17002)) = hAPP(hAPP(c_List_Omap(tc_prod(_u16997, _u17000), tc_prod(_u16995, _u16996)), hAPP(c_Product__Type_Oprod_Oprod__case(_u16997, _u17000, tc_prod(_u16995, _u16996)), hAPP(hAPP(c_COMBC(_u16997, tc_fun(_u17000, _u16996), tc_fun(_u17000, tc_prod(_u16995, _u16996))), hAPP(hAPP(c_COMBB(tc_fun(_u16996, tc_prod(_u16995, _u16996)), tc_fun(tc_fun(_u17000, _u16996), tc_fun(_u17000, tc_prod(_u16995, _u16996))), _u16997), c_COMBB(_u16996, tc_prod(_u16995, _u16996), _u17000)), hAPP(hAPP(c_COMBB(_u16995, tc_fun(_u16996, tc_prod(_u16995, _u16996)), _u16997), c_Product__Type_OPair(_u16995, _u16996)), _u16998))), _u17001))), hAPP(hAPP(c_List_Ozip(_u16997, _u17000), _u16999), _u17002))) )).
% 20.36/20.63 cnf(matrix-7126, plain, ( ( hAPP(hAPP(c_List_Ozip(_u17003, _u17003), _u17004), _u17004) = hAPP(hAPP(c_List_Omap(_u17003, tc_prod(_u17003, _u17003)), hAPP(hAPP(c_COMBS(_u17003, _u17003, tc_prod(_u17003, _u17003)), c_Product__Type_OPair(_u17003, _u17003)), c_COMBI(_u17003))), _u17004)) )).
% 20.36/20.63 cnf(matrix-7127, plain, ( ( hAPP(hAPP(c_List_Omap(_u17009, _u17011), _u17013), _u17015) != c_List_Olist_ONil(_u17011)) | ( _u17015 = c_List_Olist_ONil(_u17009)) )).
% 20.36/20.63 cnf(matrix-7128, plain, ( ( _u17016 != c_List_Olist_ONil(_u17010)) | ( hAPP(hAPP(c_List_Omap(_u17010, _u17012), _u17014), _u17016) = c_List_Olist_ONil(_u17012)) )).
% 20.36/20.63 cnf(matrix-7129, plain, ( ( hAPP(hAPP(c_List_Omap(_u17017, _u17018), _u17019), c_List_Olist_ONil(_u17017)) = c_List_Olist_ONil(_u17018)) )).
% 20.36/20.63 cnf(matrix-7130, plain, ( ( _u17030 = c_List_Olist_ONil(_u17026)) | ( c_List_Olist_ONil(_u17024) != hAPP(hAPP(c_List_Omap(_u17026, _u17024), _u17028), _u17030)) )).
% 20.36/20.63 cnf(matrix-7131, plain, ( ( _u17031 != c_List_Olist_ONil(_u17027)) | ( c_List_Olist_ONil(_u17025) = hAPP(hAPP(c_List_Omap(_u17027, _u17025), _u17029), _u17031)) )).
% 20.36/20.63 cnf(matrix-7132, plain, ( ( hAPP(hAPP(c_List_Omap(_u17032, _u17033), _u17034), hAPP(hAPP(c_List_Olist__update(_u17032, _u17035), _u17036), _u17037)) = hAPP(hAPP(c_List_Olist__update(_u17033, hAPP(hAPP(c_List_Omap(_u17032, _u17033), _u17034), _u17035)), _u17036), hAPP(_u17034, _u17037))) )).
% 20.36/20.63 cnf(matrix-7133, plain, ( ( hAPP(hAPP(c_List_Omap(_u17045, _u17047), _u17049), _u17051) != hAPP(hAPP(c_List_Omap(_u17045, _u17047), _u17053), _u17051)) | ~hBOOL(hAPP(hAPP(c_member(_u17045), _u17038), hAPP(c_List_Oset(_u17045), _u17051))) | ( hAPP(_u17049, _u17038) = hAPP(_u17053, _u17038)) )).
% 20.36/20.63 cnf(matrix-7134, plain, ( ( hAPP(hAPP(c_List_Omap(_u17046, _u17048), _u17050), _u17052) = hAPP(hAPP(c_List_Omap(_u17046, _u17048), _u17054), _u17052)) | hBOOL(hAPP(hAPP(c_member(_u17046), skolem438(_u17054, _u17052, _u17050, _u17048, _u17046)), hAPP(c_List_Oset(_u17046), _u17052))) )).
% 20.36/20.63 cnf(matrix-7135, plain, ( ( hAPP(hAPP(c_List_Omap(_u17046, _u17048), _u17050), _u17052) = hAPP(hAPP(c_List_Omap(_u17046, _u17048), _u17054), _u17052)) | ( hAPP(_u17050, skolem438(_u17054, _u17052, _u17050, _u17048, _u17046)) != hAPP(_u17054, skolem438(_u17054, _u17052, _u17050, _u17048, _u17046))) )).
% 20.36/20.63 cnf(matrix-7136, plain, ( ( hAPP(hAPP(c_List_Omap(_u17055, _u17056), _u17057), _u17058) != hAPP(hAPP(c_List_Omap(_u17059, _u17056), _u17060), _u17061)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17055)), _u17058) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17059)), _u17061)) )).
% 20.36/20.63 cnf(matrix-7137, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17062)), hAPP(hAPP(c_List_Omap(_u17063, _u17062), _u17064), _u17065)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17063)), _u17065)) )).
% 20.36/20.63 cnf(matrix-7138, plain, ( ~class_Rings_Osemiring__0(_u17066) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17066), hAPP(hAPP(c_List_Omap(_u17067, _u17066), hAPP(hAPP(c_COMBC(_u17067, _u17066, _u17066), hAPP(hAPP(c_COMBB(_u17066, tc_fun(_u17066, _u17066), _u17067), c_Groups_Otimes__class_Otimes(_u17066)), _u17068)), _u17069)), _u17070)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u17066), hAPP(c_List_Omonoid__add__class_Olistsum(_u17066), hAPP(hAPP(c_List_Omap(_u17067, _u17066), _u17068), _u17070))), _u17069)) )).
% 20.36/20.63 cnf(matrix-7139, plain, ( ~class_Rings_Osemiring__0(_u17071) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17071), hAPP(hAPP(c_List_Omap(_u17072, _u17071), hAPP(hAPP(c_COMBB(_u17071, _u17071, _u17072), hAPP(c_Groups_Otimes__class_Otimes(_u17071), _u17073)), _u17074)), _u17075)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u17071), _u17073), hAPP(c_List_Omonoid__add__class_Olistsum(_u17071), hAPP(hAPP(c_List_Omap(_u17072, _u17071), _u17074), _u17075)))) )).
% 20.36/20.63 cnf(matrix-7140, plain, ( ~class_Groups_Omonoid__add(_u17076) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17076), hAPP(hAPP(c_List_Omap(_u17077, _u17076), hAPP(c_COMBK(_u17076, _u17077), c_Groups_Ozero__class_Ozero(_u17076))), _u17078)) = c_Groups_Ozero__class_Ozero(_u17076)) )).
% 20.36/20.63 cnf(matrix-7141, plain, ( ~class_Groups_Ocomm__monoid__add(_u17079) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17079), hAPP(hAPP(c_List_Omap(_u17080, _u17079), hAPP(hAPP(c_COMBS(_u17080, _u17079, _u17079), hAPP(hAPP(c_COMBB(_u17079, tc_fun(_u17079, _u17079), _u17080), c_Groups_Oplus__class_Oplus(_u17079)), _u17081)), _u17082)), _u17083)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17079), hAPP(c_List_Omonoid__add__class_Olistsum(_u17079), hAPP(hAPP(c_List_Omap(_u17080, _u17079), _u17081), _u17083))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17079), hAPP(hAPP(c_List_Omap(_u17080, _u17079), _u17082), _u17083)))) )).
% 20.36/20.63 cnf(matrix-7142, plain, ( ~class_Groups_Oab__group__add(_u17084) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17084), hAPP(hAPP(c_List_Omap(_u17085, _u17084), hAPP(hAPP(c_COMBS(_u17085, _u17084, _u17084), hAPP(hAPP(c_COMBB(_u17084, tc_fun(_u17084, _u17084), _u17085), c_Groups_Ominus__class_Ominus(_u17084)), _u17086)), _u17087)), _u17088)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u17084), hAPP(c_List_Omonoid__add__class_Olistsum(_u17084), hAPP(hAPP(c_List_Omap(_u17085, _u17084), _u17086), _u17088))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17084), hAPP(hAPP(c_List_Omap(_u17085, _u17084), _u17087), _u17088)))) )).
% 20.36/20.63 cnf(matrix-7143, plain, ( ~c_Fun_Oinj__on(_u17089, _u17090, _u17091, c_Orderings_Otop__class_Otop(tc_fun(_u17089, tc_HOL_Obool))) | ( hAPP(hAPP(c_List_Omap(_u17089, _u17090), _u17091), _u17092) != hAPP(hAPP(c_List_Omap(_u17089, _u17090), _u17091), _u17093)) | ( _u17092 = _u17093) )).
% 20.36/20.63 cnf(matrix-7144, plain, ( ~c_Fun_Oinj__on(_u17089, _u17090, _u17091, c_Orderings_Otop__class_Otop(tc_fun(_u17089, tc_HOL_Obool))) | ( _u17092 != _u17093) | ( hAPP(hAPP(c_List_Omap(_u17089, _u17090), _u17091), _u17092) = hAPP(hAPP(c_List_Omap(_u17089, _u17090), _u17091), _u17093)) )).
% 20.36/20.63 cnf(matrix-7145, plain, ( ( hAPP(hAPP(c_List_Omap(_u17094, _u17095), _u17096), _u17097) != hAPP(hAPP(c_List_Omap(_u17094, _u17095), _u17096), _u17098)) | ~c_Fun_Oinj__on(_u17094, _u17095, _u17096, c_Orderings_Otop__class_Otop(tc_fun(_u17094, tc_HOL_Obool))) | ( _u17097 = _u17098) )).
% 20.36/20.63 cnf(matrix-7146, plain, ( ( hAPP(hAPP(c_List_Omap(_u17099, _u17099), c_COMBI(_u17099)), _u17100) = _u17100) )).
% 20.36/20.63 cnf(matrix-7147, plain, ( ( hAPP(hAPP(c_List_Otake(_u17101), _u17102), hAPP(hAPP(c_List_Omap(_u17103, _u17101), _u17104), _u17105)) = hAPP(hAPP(c_List_Omap(_u17103, _u17101), _u17104), hAPP(hAPP(c_List_Otake(_u17103), _u17102), _u17105))) )).
% 20.36/20.63 cnf(matrix-7148, plain, ( ( hAPP(hAPP(c_List_Omap(_u17106, _u17107), _u17108), c_List_Obutlast(_u17106, _u17109)) = c_List_Obutlast(_u17107, hAPP(hAPP(c_List_Omap(_u17106, _u17107), _u17108), _u17109))) )).
% 20.36/20.63 cnf(matrix-7149, plain, ( ( hAPP(c_List_Oset(_u17110), hAPP(hAPP(c_List_Omap(_u17111, _u17110), _u17112), _u17113)) = hAPP(c_Set_Oimage(_u17111, _u17110, _u17112), hAPP(c_List_Oset(_u17111), _u17113))) )).
% 20.36/20.63 cnf(matrix-7150, plain, ( ( hAPP(hAPP(c_List_Omap(_u17114, _u17115), _u17116), hAPP(hAPP(c_List_Olist_OCons(_u17114), _u17117), _u17118)) = hAPP(hAPP(c_List_Olist_OCons(_u17115), hAPP(_u17116, _u17117)), hAPP(hAPP(c_List_Omap(_u17114, _u17115), _u17116), _u17118))) )).
% 20.36/20.63 cnf(matrix-7151, plain, ( ( hAPP(hAPP(c_List_Omap(_u17119, _u17120), _u17121), hAPP(hAPP(c_List_Oappend(_u17119), _u17122), _u17123)) = hAPP(hAPP(c_List_Oappend(_u17120), hAPP(hAPP(c_List_Omap(_u17119, _u17120), _u17121), _u17122)), hAPP(hAPP(c_List_Omap(_u17119, _u17120), _u17121), _u17123))) )).
% 20.36/20.63 cnf(matrix-7152, plain, ( ( _u17124 = c_List_Olist_ONil(_u17125)) | ( hAPP(c_List_Ohd(_u17126), hAPP(hAPP(c_List_Omap(_u17125, _u17126), _u17127), _u17124)) = hAPP(_u17127, hAPP(c_List_Ohd(_u17125), _u17124))) )).
% 20.36/20.63 cnf(matrix-7153, plain, ( ( hAPP(hAPP(c_List_Odrop(_u17128), _u17129), hAPP(hAPP(c_List_Omap(_u17130, _u17128), _u17131), _u17132)) = hAPP(hAPP(c_List_Omap(_u17130, _u17128), _u17131), hAPP(hAPP(c_List_Odrop(_u17130), _u17129), _u17132))) )).
% 20.36/20.63 cnf(matrix-7154, plain, ( ( hAPP(c_List_Omap(_u17133, _u17133), c_Fun_Oid(_u17133)) = c_Fun_Oid(tc_List_Olist(_u17133))) )).
% 20.36/20.63 cnf(matrix-7155, plain, ( ( hAPP(c_List_Omap(_u17134, _u17134), c_COMBI(_u17134)) = c_Fun_Oid(tc_List_Olist(_u17134))) )).
% 20.36/20.63 cnf(matrix-7156, plain, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u17135), tc_List_Olist(_u17136), tc_List_Olist(_u17137), hAPP(c_List_Omap(_u17135, _u17136), _u17138)), hAPP(c_List_Omap(_u17137, _u17135), _u17139)) = hAPP(c_List_Omap(_u17137, _u17136), hAPP(c_Fun_Ocomp(_u17135, _u17136, _u17137, _u17138), _u17139))) )).
% 20.36/20.63 cnf(matrix-7157, plain, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u17140), tc_List_Olist(_u17141), tc_List_Olist(_u17142), hAPP(c_List_Omap(_u17140, _u17141), _u17143)), hAPP(c_List_Omap(_u17142, _u17140), _u17144)) = hAPP(c_List_Omap(_u17142, _u17141), hAPP(c_Fun_Ocomp(_u17140, _u17141, _u17142, _u17143), _u17144))) )).
% 20.36/20.63 cnf(matrix-7158, plain, ( ( hAPP(hAPP(c_List_Omap(_u17145, _u17146), _u17147), hAPP(hAPP(c_List_Omap(_u17148, _u17145), _u17149), _u17150)) = hAPP(hAPP(c_List_Omap(_u17148, _u17146), hAPP(c_Fun_Ocomp(_u17145, _u17146, _u17148, _u17147), _u17149)), _u17150)) )).
% 20.36/20.63 cnf(matrix-7159, plain, ( ( hAPP(hAPP(c_List_Omap(_u17151, _u17152), _u17153), hAPP(hAPP(c_List_Omap(_u17154, _u17151), _u17155), _u17156)) = hAPP(hAPP(c_List_Omap(_u17154, _u17152), hAPP(c_Fun_Ocomp(_u17151, _u17152, _u17154, _u17153), _u17155)), _u17156)) )).
% 20.36/20.63 cnf(matrix-7160, plain, ( ( c_List_Olist_Olist__size(_u17157, _u17158, hAPP(hAPP(c_List_Omap(_u17159, _u17157), _u17160), _u17161)) = c_List_Olist_Olist__size(_u17159, hAPP(c_Fun_Ocomp(_u17157, tc_Nat_Onat, _u17159, _u17158), _u17160), _u17161)) )).
% 20.36/20.63 cnf(matrix-7161, plain, ( ( hAPP(hAPP(c_List_Omap(_u17162, _u17163), _u17164), _u17165) != hAPP(hAPP(c_List_Omap(_u17162, _u17163), _u17164), _u17166)) | ~c_Fun_Oinj__on(_u17162, _u17163, _u17164, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17162, tc_HOL_Obool)), hAPP(c_List_Oset(_u17162), _u17165)), hAPP(c_List_Oset(_u17162), _u17166))) | ( _u17165 = _u17166) )).
% 20.36/20.63 cnf(matrix-7162, plain, ( ~c_Fun_Oinj__on(_u17167, _u17168, _u17169, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17167, tc_HOL_Obool)), hAPP(c_List_Oset(_u17167), _u17170)), hAPP(c_List_Oset(_u17167), _u17171))) | ( hAPP(hAPP(c_List_Omap(_u17167, _u17168), _u17169), _u17170) != hAPP(hAPP(c_List_Omap(_u17167, _u17168), _u17169), _u17171)) | ( _u17170 = _u17171) )).
% 20.36/20.63 cnf(matrix-7163, plain, ( ~c_Fun_Oinj__on(_u17167, _u17168, _u17169, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17167, tc_HOL_Obool)), hAPP(c_List_Oset(_u17167), _u17170)), hAPP(c_List_Oset(_u17167), _u17171))) | ( _u17170 != _u17171) | ( hAPP(hAPP(c_List_Omap(_u17167, _u17168), _u17169), _u17170) = hAPP(hAPP(c_List_Omap(_u17167, _u17168), _u17169), _u17171)) )).
% 20.36/20.63 cnf(matrix-7164, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17172), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17173)), _u17174))) | ( hAPP(hAPP(c_List_Onth(_u17175), hAPP(hAPP(c_List_Omap(_u17173, _u17175), _u17176), _u17174)), _u17172) = hAPP(_u17176, hAPP(hAPP(c_List_Onth(_u17173), _u17174), _u17172))) )).
% 20.36/20.63 cnf(matrix-7165, plain, ( hBOOL(hAPP(hAPP(c_member(_u17177), _u17178), hAPP(c_List_Oset(_u17177), _u17179))) | ( hAPP(hAPP(c_List_Omap(_u17177, _u17180), c_Fun_Ofun__upd(_u17177, _u17180, _u17181, _u17178, _u17182)), _u17179) = hAPP(hAPP(c_List_Omap(_u17177, _u17180), _u17181), _u17179)) )).
% 20.36/20.63 cnf(matrix-7166, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17187), hAPP(hAPP(c_List_Omap(_u17189, _u17187), _u17191), _u17193))) | hBOOL(hAPP(c_List_Odistinct(_u17189), _u17193)) )).
% 20.36/20.63 cnf(matrix-7167, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17187), hAPP(hAPP(c_List_Omap(_u17189, _u17187), _u17191), _u17193))) | c_Fun_Oinj__on(_u17189, _u17187, _u17191, hAPP(c_List_Oset(_u17189), _u17193)) )).
% 20.36/20.63 cnf(matrix-7168, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17190), _u17194)) | ~c_Fun_Oinj__on(_u17190, _u17188, _u17192, hAPP(c_List_Oset(_u17190), _u17194)) | hBOOL(hAPP(c_List_Odistinct(_u17188), hAPP(hAPP(c_List_Omap(_u17190, _u17188), _u17192), _u17194))) )).
% 20.36/20.63 cnf(matrix-7169, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u17195) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17195), hAPP(c_Groups_Oabs__class_Oabs(_u17195), hAPP(c_List_Omonoid__add__class_Olistsum(_u17195), _u17196))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17195), hAPP(hAPP(c_List_Omap(_u17195, _u17195), c_Groups_Oabs__class_Oabs(_u17195)), _u17196)))) )).
% 20.36/20.63 cnf(matrix-7170, plain, ( ~class_Groups_Oab__group__add(_u17197) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u17197), hAPP(c_List_Omonoid__add__class_Olistsum(_u17197), hAPP(hAPP(c_List_Omap(_u17198, _u17197), _u17199), _u17200))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u17197), hAPP(hAPP(c_List_Omap(_u17198, _u17197), hAPP(c_Fun_Ocomp(_u17197, _u17197, _u17198, c_Groups_Ouminus__class_Ouminus(_u17197)), _u17199)), _u17200))) )).
% 20.36/20.63 cnf(matrix-7171, plain, ( ~c_Fun_Oinj__on(_u17201, _u17202, _u17203, c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17201, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_List_Olist(_u17201), tc_fun(_u17201, tc_HOL_Obool), c_List_Oset(_u17201)), _u17204))) | c_Fun_Oinj__on(tc_List_Olist(_u17201), tc_List_Olist(_u17202), hAPP(c_List_Omap(_u17201, _u17202), _u17203), _u17204) )).
% 20.36/20.63 cnf(matrix-7172, plain, ( ~c_Fun_Oinj__on(tc_List_Olist(_u17205), tc_List_Olist(_u17206), hAPP(c_List_Omap(_u17205, _u17206), _u17207), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17205), tc_HOL_Obool))) | c_Fun_Oinj__on(_u17205, _u17206, _u17207, c_Orderings_Otop__class_Otop(tc_fun(_u17205, tc_HOL_Obool))) )).
% 20.36/20.63 cnf(matrix-7173, plain, ( ~c_Fun_Oinj__on(tc_List_Olist(_u17211), tc_List_Olist(_u17213), hAPP(c_List_Omap(_u17211, _u17213), _u17215), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17211), tc_HOL_Obool))) | c_Fun_Oinj__on(_u17211, _u17213, _u17215, c_Orderings_Otop__class_Otop(tc_fun(_u17211, tc_HOL_Obool))) )).
% 20.36/20.63 cnf(matrix-7174, plain, ( ~c_Fun_Oinj__on(_u17212, _u17214, _u17216, c_Orderings_Otop__class_Otop(tc_fun(_u17212, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u17212), tc_List_Olist(_u17214), hAPP(c_List_Omap(_u17212, _u17214), _u17216), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17212), tc_HOL_Obool))) )).
% 20.36/20.63 cnf(matrix-7175, plain, ( ~class_Groups_Ocomm__monoid__add(_u17217) | ~hBOOL(hAPP(c_List_Odistinct(_u17218), _u17219)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17217), hAPP(hAPP(c_List_Omap(_u17218, _u17217), _u17220), _u17219)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u17218, _u17217), _u17220), hAPP(c_List_Oset(_u17218), _u17219))) )).
% 20.36/20.63 cnf(matrix-7176, plain, ( ~class_Rings_Osemiring__1(_u17221) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17221), hAPP(hAPP(c_List_Omap(_u17222, _u17221), hAPP(c_COMBK(_u17221, _u17222), _u17223)), _u17224)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u17221), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u17221), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17222)), _u17224))), _u17223)) )).
% 20.36/20.63 cnf(matrix-7177, plain, ( ~class_Groups_Ocomm__monoid__add(_u17225) | ~hBOOL(hAPP(hAPP(c_member(_u17226), _u17227), hAPP(c_List_Oset(_u17226), _u17228))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17225), hAPP(hAPP(c_List_Omap(_u17226, _u17225), _u17229), _u17228)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17225), hAPP(_u17229, _u17227)), hAPP(c_List_Omonoid__add__class_Olistsum(_u17225), hAPP(hAPP(c_List_Omap(_u17226, _u17225), _u17229), c_List_Oremove1(_u17226, _u17227, _u17228))))) )).
% 20.36/20.63 cnf(matrix-7178, plain, ( ~class_Groups_Ocomm__monoid__add(_u17230) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17231), _u17232)) | ( c_Nitpick_Osetsum_H(_u17231, _u17230, _u17233, _u17232) = hAPP(c_List_Omonoid__add__class_Olistsum(_u17230), hAPP(hAPP(c_List_Omap(_u17231, _u17230), _u17233), c_Hilbert__Choice_OEps(tc_List_Olist(_u17231), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17231), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u17231)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17231), tc_fun(_u17231, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u17231, tc_HOL_Obool), tc_fun(tc_fun(_u17231, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u17231)), c_fequal), c_List_Oset(_u17231))), _u17232))), c_List_Odistinct(_u17231)))))) )).
% 20.36/20.63 cnf(matrix-7179, plain, ( ~class_Groups_Ocomm__monoid__add(_u17230) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u17231), _u17232)) | ( c_Nitpick_Osetsum_H(_u17231, _u17230, _u17233, _u17232) = c_Groups_Ozero__class_Ozero(_u17230)) )).
% 20.36/20.63 cnf(matrix-7180, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17234), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17235)), _u17236))) | ( hAPP(c_Random_Opick(_u17235, hAPP(hAPP(c_List_Omap(_u17235, tc_prod(tc_Code__Numeral_Ocode__numeral, _u17235)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u17235), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u17236)), hAPP(c_Code__Numeral_Oof__nat, _u17234)) = hAPP(hAPP(c_List_Onth(_u17235), _u17236), _u17234)) )).
% 20.36/20.63 cnf(matrix-7181, 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))) )).
% 20.36/20.63 cnf(matrix-7182, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u17237)), hAPP(c_Code__Numeral_Oof__nat, _u17238)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17237), _u17238))) )).
% 20.36/20.63 cnf(matrix-7183, plain, ( ( c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral)) )).
% 20.36/20.63 cnf(matrix-7184, plain, ( ( hAPP(c_Code__Numeral_Oof__nat, _u17241) != hAPP(c_Code__Numeral_Oof__nat, _u17243)) | ( _u17241 = _u17243) )).
% 20.36/20.63 cnf(matrix-7185, plain, ( ( _u17242 != _u17244) | ( hAPP(c_Code__Numeral_Oof__nat, _u17242) = hAPP(c_Code__Numeral_Oof__nat, _u17244)) )).
% 20.36/20.63 cnf(matrix-7186, 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))) )).
% 20.36/20.63 cnf(matrix-7187, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u17247)), hAPP(c_Code__Numeral_Oof__nat, _u17249))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17247), _u17249)) )).
% 20.36/20.63 cnf(matrix-7188, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17248), _u17250)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u17248)), hAPP(c_Code__Numeral_Oof__nat, _u17250))) )).
% 20.36/20.63 cnf(matrix-7189, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17251), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17252), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( hAPP(c_Code__Numeral_Oof__nat, _u17251) != hAPP(c_Code__Numeral_Oof__nat, _u17252)) | ( _u17251 = _u17252) )).
% 20.36/20.63 cnf(matrix-7190, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17251), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17252), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u17251 != _u17252) | ( hAPP(c_Code__Numeral_Oof__nat, _u17251) = hAPP(c_Code__Numeral_Oof__nat, _u17252)) )).
% 20.36/20.63 cnf(matrix-7191, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17253)), _u17254) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17255)), _u17256)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17253, _u17255), _u17253), c_Product__Type_Ofst(_u17253, _u17255)), hAPP(hAPP(c_List_Ozip(_u17253, _u17255), _u17254), _u17256)) = _u17254) )).
% 20.36/20.63 cnf(matrix-7192, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17257)), _u17258) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17259)), _u17260)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17257, _u17259), _u17259), c_Product__Type_Osnd(_u17257, _u17259)), hAPP(hAPP(c_List_Ozip(_u17257, _u17259), _u17258), _u17260)) = _u17260) )).
% 20.36/20.63 cnf(matrix-7193, 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)) )).
% 20.36/20.63 cnf(matrix-7194, plain, ( ( hAPP(hAPP(c_List_Ozip(_u17261, _u17262), hAPP(hAPP(c_List_Omap(tc_prod(_u17261, _u17262), _u17261), c_Product__Type_Ofst(_u17261, _u17262)), _u17263)), hAPP(hAPP(c_List_Omap(tc_prod(_u17261, _u17262), _u17262), c_Product__Type_Osnd(_u17261, _u17262)), _u17263)) = _u17263) )).
% 20.36/20.63 cnf(matrix-7195, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u17264)), hAPP(c_Code__Numeral_Oof__nat, _u17265)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17264), _u17265))) )).
% 20.36/20.63 cnf(matrix-7196, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u17268)), hAPP(c_Code__Numeral_Oof__nat, _u17270))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17268), _u17270)) )).
% 20.36/20.63 cnf(matrix-7197, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17269), _u17271)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u17269)), hAPP(c_Code__Numeral_Oof__nat, _u17271))) )).
% 20.36/20.63 cnf(matrix-7198, plain, ( ( hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, hAPP(c_Code__Numeral_Oof__nat, _u17272)), hAPP(c_Code__Numeral_Oof__nat, _u17273)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17272), _u17273))) )).
% 20.36/20.63 cnf(matrix-7199, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u17274), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17275), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u17275)), _u17276)))) | hBOOL(hAPP(hAPP(c_member(_u17275), hAPP(c_Random_Opick(_u17275, _u17276), _u17274)), hAPP(c_List_Oset(_u17275), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17275), _u17275), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u17275)), _u17276)))) )).
% 20.36/20.63 cnf(matrix-7200, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17277)), _u17278) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17279)), _u17280)) | ( hAPP(hAPP(c_List_Ozip(_u17277, _u17279), _u17278), _u17280) != _u17281) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17277, _u17279), _u17277), c_Product__Type_Ofst(_u17277, _u17279)), _u17281) = _u17278) )).
% 20.36/20.63 cnf(matrix-7201, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17277)), _u17278) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17279)), _u17280)) | ( hAPP(hAPP(c_List_Ozip(_u17277, _u17279), _u17278), _u17280) != _u17281) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17277, _u17279), _u17279), c_Product__Type_Osnd(_u17277, _u17279)), _u17281) = _u17280) )).
% 20.36/20.63 cnf(matrix-7202, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17277)), _u17278) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17279)), _u17280)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17277, _u17279), _u17277), c_Product__Type_Ofst(_u17277, _u17279)), _u17281) != _u17278) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17277, _u17279), _u17279), c_Product__Type_Osnd(_u17277, _u17279)), _u17281) != _u17280) | ( hAPP(hAPP(c_List_Ozip(_u17277, _u17279), _u17278), _u17280) = _u17281) )).
% 20.36/20.63 cnf(matrix-7203, plain, ( ( c_List_Olist_Olist__size(_u17282, _u17283, _u17284) = 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(_u17282, tc_Nat_Onat), _u17283), _u17284))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17282)), _u17284))) )).
% 20.36/20.63 cnf(matrix-7204, plain, ( ( _u17286 = 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)), _u17286)) )).
% 20.36/20.63 cnf(matrix-7205, 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)), _u17287)) | ( _u17287 != hAPP(c_Code__Numeral_Oof__nat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.63 cnf(matrix-7206, plain, ( ~class_Groups_Ocomm__monoid__add(_u17288) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17288), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u17288), _u17289), c_List_Oupto(_u17290, _u17291))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u17288), _u17289), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u17290, _u17291)))) )).
% 20.36/20.63 cnf(matrix-7207, plain, ( ~class_Groups_Ocomm__monoid__add(_u17292) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u17292), _u17293), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u17294, _u17295))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u17292), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u17292), _u17293), c_List_Oupto(_u17294, _u17295)))) )).
% 20.36/20.63 cnf(matrix-7208, 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, _u17296), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u17296)), _u17297)))) | hBOOL(hAPP(hAPP(c_member(_u17296), hAPP(c_Product__Type_Ofst(_u17296, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect__weight(_u17296, _u17297), _u17298))), hAPP(c_List_Oset(_u17296), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17296), _u17296), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u17296)), _u17297)))) )).
% 20.36/20.63 cnf(matrix-7209, plain, ( ( c_Random_Oselect__weight(_u17299, _u17300) = 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(_u17299, 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, _u17299), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u17299)), _u17300)))), hAPP(hAPP(c_COMBB(_u17299, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u17299, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u17299, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random_Opick(_u17299, _u17300)))) )).
% 20.36/20.63 cnf(matrix-7210, plain, ( ( c_Random_Oselect(_u17301, _u17302) = 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(_u17301, 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(_u17301)), _u17302)))), hAPP(hAPP(c_COMBB(_u17301, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u17301, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u17301, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u17301, tc_Code__Numeral_Ocode__numeral), hAPP(c_List_Onth(_u17301), _u17302)), c_Code__Numeral_Onat__of)))) )).
% 20.36/20.63 cnf(matrix-7211, plain, ( ~class_Groups_Omonoid__add(_u17304) | ~class_Groups_Oordered__ab__semigroup__add(_u17304) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17304), hAPP(c_List_Omonoid__add__class_Olistsum(_u17304), hAPP(hAPP(c_List_Omap(_u17305, _u17304), _u17307), _u17306))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17304), hAPP(hAPP(c_List_Omap(_u17305, _u17304), _u17308), _u17306)))) | hBOOL(hAPP(hAPP(c_member(_u17305), skolem439(_u17308, _u17307, _u17306, _u17305, _u17304)), hAPP(c_List_Oset(_u17305), _u17306))) )).
% 20.36/20.63 cnf(matrix-7212, plain, ( ~class_Groups_Omonoid__add(_u17304) | ~class_Groups_Oordered__ab__semigroup__add(_u17304) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17304), hAPP(c_List_Omonoid__add__class_Olistsum(_u17304), hAPP(hAPP(c_List_Omap(_u17305, _u17304), _u17307), _u17306))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17304), hAPP(hAPP(c_List_Omap(_u17305, _u17304), _u17308), _u17306)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17304), hAPP(_u17307, skolem439(_u17308, _u17307, _u17306, _u17305, _u17304))), hAPP(_u17308, skolem439(_u17308, _u17307, _u17306, _u17305, _u17304)))) )).
% 20.36/20.63 cnf(matrix-7213, plain, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u17309)) = _u17309) )).
% 20.36/20.63 cnf(matrix-7214, plain, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u17310)) = _u17310) )).
% 20.36/20.63 cnf(matrix-7215, plain, ( ( hAPP(c_Code__Numeral_Onat__of, hAPP(c_Code__Numeral_Oof__nat, _u17311)) = _u17311) )).
% 20.36/20.63 cnf(matrix-7216, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral), _u17312), _u17313) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17312)), hAPP(c_Code__Numeral_Onat__of, _u17313)))) )).
% 20.36/20.63 cnf(matrix-7217, plain, ( ( hAPP(c_Code__Numeral_Onat__of, _u17316) != hAPP(c_Code__Numeral_Onat__of, _u17318)) | ( _u17316 = _u17318) )).
% 20.36/20.63 cnf(matrix-7218, plain, ( ( _u17317 != _u17319) | ( hAPP(c_Code__Numeral_Onat__of, _u17317) = hAPP(c_Code__Numeral_Onat__of, _u17319)) )).
% 20.36/20.63 cnf(matrix-7219, plain, ( ( hAPP(c_Code__Numeral_Onat__of, _u17322) != hAPP(c_Code__Numeral_Onat__of, _u17324)) | ( _u17322 = _u17324) )).
% 20.36/20.63 cnf(matrix-7220, plain, ( ( _u17323 != _u17325) | ( hAPP(c_Code__Numeral_Onat__of, _u17323) = hAPP(c_Code__Numeral_Onat__of, _u17325)) )).
% 20.36/20.63 cnf(matrix-7221, 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))) )).
% 20.36/20.63 cnf(matrix-7222, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u17328), _u17330)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17328)), hAPP(c_Code__Numeral_Onat__of, _u17330))) )).
% 20.36/20.63 cnf(matrix-7223, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17329)), hAPP(c_Code__Numeral_Onat__of, _u17331))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u17329), _u17331)) )).
% 20.36/20.63 cnf(matrix-7224, plain, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17332)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 20.36/20.63 cnf(matrix-7225, plain, ( ( hAPP(c_Code__Numeral_Onat__of, hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), _u17333)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17333)) )).
% 20.36/20.63 cnf(matrix-7226, 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)) )).
% 20.36/20.63 cnf(matrix-7227, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u17336), _u17338)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17336)), hAPP(c_Code__Numeral_Onat__of, _u17338))) )).
% 20.36/20.63 cnf(matrix-7228, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17337)), hAPP(c_Code__Numeral_Onat__of, _u17339))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u17337), _u17339)) )).
% 20.36/20.63 cnf(matrix-7229, plain, ( ( hAPP(c_Code__Numeral_Onat__of, _u17340) = c_Code__Numeral_Onat__of__aux(_u17340, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.63 cnf(matrix-7230, plain, ( ( c_Code__Numeral_Onat__of__aux(_u17341, _u17342) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17341)), _u17342)) )).
% 20.36/20.63 cnf(matrix-7231, plain, ( ( c_Code__Numeral_OSuc__code__numeral(_u17343) = hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Nat_OSuc, hAPP(c_Code__Numeral_Onat__of, _u17343)))) )).
% 20.36/20.63 cnf(matrix-7232, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u17344), _u17345) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17344)), hAPP(c_Code__Numeral_Onat__of, _u17345)))) )).
% 20.36/20.63 cnf(matrix-7233, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17346), 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, _u17346)) = _u17346) )).
% 20.36/20.63 cnf(matrix-7234, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u17347), _u17348) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17347)), hAPP(c_Code__Numeral_Onat__of, _u17348)))) )).
% 20.36/20.63 cnf(matrix-7235, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u17349), _u17350) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17349)), hAPP(c_Code__Numeral_Onat__of, _u17350)))) )).
% 20.36/20.63 cnf(matrix-7236, plain, ( ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u17351, _u17352) = hAPP(c_Code__Numeral_Oof__nat, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Code__Numeral_Onat__of, _u17351), hAPP(c_Code__Numeral_Onat__of, _u17352)))) )).
% 20.36/20.63 cnf(matrix-7237, plain, ( ( _u17353 = 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, _u17353)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_Code__Numeral_Onat__of, _u17353))) )).
% 20.36/20.63 cnf(matrix-7238, plain, ( ( hAPP(c_New__DSequence_Opos__not__seq(_u17354), _u17355) = c_Lazy__Sequence_Ohb__not__seq(hAPP(_u17354, 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)))), _u17355)))) )).
% 20.36/20.63 cnf(matrix-7239, plain, ( ( c_List_Opartition(_u17356, _u17357, _u17358) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17356), tc_List_Olist(_u17356)), _u17359), _u17360)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17356, tc_HOL_Obool)), hAPP(c_List_Oset(_u17356), _u17359)), hAPP(c_List_Oset(_u17356), _u17360)) = hAPP(c_List_Oset(_u17356), _u17358)) )).
% 20.36/20.63 cnf(matrix-7240, plain, ( ( c_List_Opartition(_u17363, _u17364, _u17365) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17363), tc_List_Olist(_u17363)), _u17366), _u17367)) | ~hBOOL(hAPP(hAPP(c_member(_u17363), _u17361), hAPP(c_List_Oset(_u17363), _u17366))) | hBOOL(hAPP(_u17364, _u17361)) )).
% 20.36/20.63 cnf(matrix-7241, plain, ( ( c_List_Opartition(_u17363, _u17364, _u17365) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17363), tc_List_Olist(_u17363)), _u17366), _u17367)) | ~hBOOL(hAPP(hAPP(c_member(_u17363), _u17362), hAPP(c_List_Oset(_u17363), _u17367))) | ~hBOOL(hAPP(_u17364, _u17362)) )).
% 20.36/20.63 cnf(matrix-7242, plain, ( ( c_List_Opartition(_u17368, _u17369, c_List_Olist_ONil(_u17368)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17368), tc_List_Olist(_u17368)), c_List_Olist_ONil(_u17368)), c_List_Olist_ONil(_u17368))) )).
% 20.36/20.63 cnf(matrix-7243, plain, ( ( c_List_Opartition(_u17370, _u17371, hAPP(hAPP(c_List_Olist_OCons(_u17370), _u17372), _u17373)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17370), tc_List_Olist(_u17370), tc_prod(tc_List_Olist(_u17370), tc_List_Olist(_u17370))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17370), tc_fun(tc_List_Olist(_u17370), tc_prod(tc_List_Olist(_u17370), tc_List_Olist(_u17370))), tc_fun(tc_List_Olist(_u17370), tc_prod(tc_List_Olist(_u17370), tc_List_Olist(_u17370)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17370), tc_fun(tc_prod(tc_List_Olist(_u17370), tc_List_Olist(_u17370)), tc_prod(tc_List_Olist(_u17370), tc_List_Olist(_u17370)))), tc_fun(tc_fun(tc_List_Olist(_u17370), tc_prod(tc_List_Olist(_u17370), tc_List_Olist(_u17370))), tc_fun(tc_List_Olist(_u17370), tc_prod(tc_List_Olist(_u17370), tc_List_Olist(_u17370)))), tc_List_Olist(_u17370)), c_COMBS(tc_List_Olist(_u17370), tc_prod(tc_List_Olist(_u17370), tc_List_Olist(_u17370)), tc_prod(tc_List_Olist(_u17370), tc_List_Olist(_u17370)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17370), tc_prod(tc_List_Olist(_u17370), tc_List_Olist(_u17370))), tc_fun(tc_List_Olist(_u17370), tc_fun(tc_prod(tc_List_Olist(_u17370), tc_List_Olist(_u17370)), tc_prod(tc_List_Olist(_u17370), tc_List_Olist(_u17370)))), tc_List_Olist(_u17370)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u17370), tc_List_Olist(_u17370)), tc_fun(tc_prod(tc_List_Olist(_u17370), tc_List_Olist(_u17370)), tc_prod(tc_List_Olist(_u17370), tc_List_Olist(_u17370))), tc_List_Olist(_u17370)), hAPP(c_If(tc_prod(tc_List_Olist(_u17370), tc_List_Olist(_u17370))), hAPP(_u17371, _u17372)))), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17370), tc_fun(tc_List_Olist(_u17370), tc_prod(tc_List_Olist(_u17370), tc_List_Olist(_u17370))), tc_List_Olist(_u17370)), c_Product__Type_OPair(tc_List_Olist(_u17370), tc_List_Olist(_u17370))), hAPP(c_List_Olist_OCons(_u17370), _u17372))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17370), tc_fun(tc_List_Olist(_u17370), tc_List_Olist(_u17370)), tc_fun(tc_List_Olist(_u17370), tc_prod(tc_List_Olist(_u17370), tc_List_Olist(_u17370)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17370), tc_prod(tc_List_Olist(_u17370), tc_List_Olist(_u17370))), tc_fun(tc_fun(tc_List_Olist(_u17370), tc_List_Olist(_u17370)), tc_fun(tc_List_Olist(_u17370), tc_prod(tc_List_Olist(_u17370), tc_List_Olist(_u17370)))), tc_List_Olist(_u17370)), c_COMBB(tc_List_Olist(_u17370), tc_prod(tc_List_Olist(_u17370), tc_List_Olist(_u17370)), tc_List_Olist(_u17370))), c_Product__Type_OPair(tc_List_Olist(_u17370), tc_List_Olist(_u17370)))), hAPP(c_List_Olist_OCons(_u17370), _u17372)))), c_List_Opartition(_u17370, _u17371, _u17373))) )).
% 20.36/20.63 cnf(matrix-7244, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17374)), _u17375), c_List_Olists(_u17374, _u17376))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17374)), _u17375), c_List_Olists(_u17374, _u17377))) | hBOOL(hAPP(c_List_Olistsp(_u17374, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17374, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u17374, tc_fun(_u17374, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17374)), _u17376)), hAPP(hAPP(c_COMBC(_u17374, tc_fun(_u17374, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17374)), _u17377))), _u17375)) )).
% 20.36/20.63 cnf(matrix-7245, plain, ( ( c_List_Olistsp(_u17378, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17378, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u17378, tc_fun(_u17378, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17378)), _u17379)), hAPP(hAPP(c_COMBC(_u17378, tc_fun(_u17378, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17378)), _u17380))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(_u17378), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17378), tc_fun(tc_List_Olist(_u17378), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u17378))), c_List_Olists(_u17378, _u17379))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17378), tc_fun(tc_List_Olist(_u17378), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u17378))), c_List_Olists(_u17378, _u17380)))) )).
% 20.36/20.63 cnf(matrix-7246, plain, ( hBOOL(hAPP(c_List_Olistsp(_u17381, _u17382), c_List_Olist_ONil(_u17381))) )).
% 20.36/20.63 cnf(matrix-7247, plain, ( hBOOL(hAPP(c_List_Olistsp(_u17383, _u17384), c_List_Olist_ONil(_u17383))) )).
% 20.36/20.63 cnf(matrix-7248, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17390, _u17392), _u17394)) | ~hBOOL(hAPP(hAPP(c_member(_u17390), _u17385), hAPP(c_List_Oset(_u17390), _u17394))) | hBOOL(hAPP(_u17392, _u17385)) )).
% 20.36/20.63 cnf(matrix-7249, plain, ( hBOOL(hAPP(c_List_Olistsp(_u17391, _u17393), _u17395)) | hBOOL(hAPP(hAPP(c_member(_u17391), skolem440(_u17395, _u17393, _u17391)), hAPP(c_List_Oset(_u17391), _u17395))) )).
% 20.36/20.63 cnf(matrix-7250, plain, ( hBOOL(hAPP(c_List_Olistsp(_u17391, _u17393), _u17395)) | ~hBOOL(hAPP(_u17393, skolem440(_u17395, _u17393, _u17391))) )).
% 20.36/20.63 cnf(matrix-7251, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17400, hAPP(hAPP(c_COMBS(_u17400, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17400), c_fconj), _u17402)), _u17404)), _u17406)) | hBOOL(hAPP(c_List_Olistsp(_u17400, _u17402), _u17406)) )).
% 20.36/20.63 cnf(matrix-7252, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17400, hAPP(hAPP(c_COMBS(_u17400, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17400), c_fconj), _u17402)), _u17404)), _u17406)) | hBOOL(hAPP(c_List_Olistsp(_u17400, _u17404), _u17406)) )).
% 20.36/20.63 cnf(matrix-7253, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17401, _u17403), _u17407)) | ~hBOOL(hAPP(c_List_Olistsp(_u17401, _u17405), _u17407)) | hBOOL(hAPP(c_List_Olistsp(_u17401, hAPP(hAPP(c_COMBS(_u17401, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17401), c_fconj), _u17403)), _u17405)), _u17407)) )).
% 20.36/20.63 cnf(matrix-7254, plain, ( ( c_List_Olistsp(_u17408, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17408, tc_HOL_Obool)), _u17409), _u17410)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(_u17408), tc_HOL_Obool)), c_List_Olistsp(_u17408, _u17409)), c_List_Olistsp(_u17408, _u17410))) )).
% 20.36/20.63 cnf(matrix-7255, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17411, _u17412), _u17413)) | ~hBOOL(hAPP(c_List_Olistsp(_u17411, _u17414), _u17413)) | hBOOL(hAPP(c_List_Olistsp(_u17411, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17411, tc_HOL_Obool)), _u17412), _u17414)), _u17413)) )).
% 20.36/20.63 cnf(matrix-7256, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17419, _u17421), hAPP(hAPP(c_List_Olist_OCons(_u17419), _u17423), _u17425))) | hBOOL(hAPP(_u17421, _u17423)) )).
% 20.36/20.63 cnf(matrix-7257, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17419, _u17421), hAPP(hAPP(c_List_Olist_OCons(_u17419), _u17423), _u17425))) | hBOOL(hAPP(c_List_Olistsp(_u17419, _u17421), _u17425)) )).
% 20.36/20.63 cnf(matrix-7258, plain, ( ~hBOOL(hAPP(_u17422, _u17424)) | ~hBOOL(hAPP(c_List_Olistsp(_u17420, _u17422), _u17426)) | hBOOL(hAPP(c_List_Olistsp(_u17420, _u17422), hAPP(hAPP(c_List_Olist_OCons(_u17420), _u17424), _u17426))) )).
% 20.36/20.63 cnf(matrix-7259, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17431, _u17433), hAPP(hAPP(c_List_Oappend(_u17431), _u17435), _u17437))) | hBOOL(hAPP(c_List_Olistsp(_u17431, _u17433), _u17435)) )).
% 20.36/20.63 cnf(matrix-7260, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17431, _u17433), hAPP(hAPP(c_List_Oappend(_u17431), _u17435), _u17437))) | hBOOL(hAPP(c_List_Olistsp(_u17431, _u17433), _u17437)) )).
% 20.36/20.63 cnf(matrix-7261, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17432, _u17434), _u17436)) | ~hBOOL(hAPP(c_List_Olistsp(_u17432, _u17434), _u17438)) | hBOOL(hAPP(c_List_Olistsp(_u17432, _u17434), hAPP(hAPP(c_List_Oappend(_u17432), _u17436), _u17438))) )).
% 20.36/20.63 cnf(matrix-7262, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17439, tc_HOL_Obool)), _u17440), _u17441)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(_u17439), tc_HOL_Obool)), c_List_Olistsp(_u17439, _u17440)), c_List_Olistsp(_u17439, _u17441))) )).
% 20.36/20.63 cnf(matrix-7263, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17445, hAPP(hAPP(c_COMBC(_u17445, tc_fun(_u17445, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17445)), _u17447)), _u17449)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17445)), _u17449), c_List_Olists(_u17445, _u17447))) )).
% 20.36/20.63 cnf(matrix-7264, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17446)), _u17450), c_List_Olists(_u17446, _u17448))) | hBOOL(hAPP(c_List_Olistsp(_u17446, hAPP(hAPP(c_COMBC(_u17446, tc_fun(_u17446, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17446)), _u17448)), _u17450)) )).
% 20.36/20.63 cnf(matrix-7265, plain, ( ( c_Enum_Oproduct(_u17451, _u17452, hAPP(hAPP(c_List_Olist_OCons(_u17451), _u17453), _u17454), _u17455) = hAPP(hAPP(c_List_Oappend(tc_prod(_u17451, _u17452)), hAPP(hAPP(c_List_Omap(_u17452, tc_prod(_u17451, _u17452)), hAPP(c_Product__Type_OPair(_u17451, _u17452), _u17453)), _u17455)), c_Enum_Oproduct(_u17451, _u17452, _u17454, _u17455))) )).
% 20.36/20.63 cnf(matrix-7266, plain, ( ~c_List_Olist__all2(_u17463, _u17465, _u17467, _u17469, _u17471) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17463)), _u17469) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17465)), _u17471)) )).
% 20.36/20.63 cnf(matrix-7267, plain, ( ~c_List_Olist__all2(_u17463, _u17465, _u17467, _u17469, _u17471) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17463, _u17465)), _u17456), hAPP(c_List_Oset(tc_prod(_u17463, _u17465)), hAPP(hAPP(c_List_Ozip(_u17463, _u17465), _u17469), _u17471)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u17463, _u17465, tc_HOL_Obool), _u17467), _u17456)) )).
% 20.36/20.63 cnf(matrix-7268, plain, ( c_List_Olist__all2(_u17464, _u17466, _u17468, _u17470, _u17472) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17464)), _u17470) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17466)), _u17472)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17464, _u17466)), skolem441(_u17472, _u17470, _u17468, _u17466, _u17464)), hAPP(c_List_Oset(tc_prod(_u17464, _u17466)), hAPP(hAPP(c_List_Ozip(_u17464, _u17466), _u17470), _u17472)))) )).
% 20.36/20.63 cnf(matrix-7269, plain, ( c_List_Olist__all2(_u17464, _u17466, _u17468, _u17470, _u17472) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17464)), _u17470) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17466)), _u17472)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u17464, _u17466, tc_HOL_Obool), _u17468), skolem441(_u17472, _u17470, _u17468, _u17466, _u17464))) )).
% 20.36/20.63 cnf(matrix-7270, plain, ( ~c_List_Olist__all2(_u17480, _u17482, _u17484, _u17486, hAPP(hAPP(c_List_Omap(_u17488, _u17482), _u17490), _u17492)) | c_List_Olist__all2(_u17480, _u17488, hAPP(hAPP(c_COMBC(_u17480, tc_fun(_u17488, _u17482), tc_fun(_u17488, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17482, tc_HOL_Obool), tc_fun(tc_fun(_u17488, _u17482), tc_fun(_u17488, tc_HOL_Obool)), _u17480), c_COMBB(_u17482, tc_HOL_Obool, _u17488)), _u17484)), _u17490), _u17486, _u17492) )).
% 20.36/20.63 cnf(matrix-7271, plain, ( ~c_List_Olist__all2(_u17481, _u17489, hAPP(hAPP(c_COMBC(_u17481, tc_fun(_u17489, _u17483), tc_fun(_u17489, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17483, tc_HOL_Obool), tc_fun(tc_fun(_u17489, _u17483), tc_fun(_u17489, tc_HOL_Obool)), _u17481), c_COMBB(_u17483, tc_HOL_Obool, _u17489)), _u17485)), _u17491), _u17487, _u17493) | c_List_Olist__all2(_u17481, _u17483, _u17485, _u17487, hAPP(hAPP(c_List_Omap(_u17489, _u17483), _u17491), _u17493)) )).
% 20.36/20.63 cnf(matrix-7272, plain, ( ~c_List_Olist__all2(_u17501, _u17503, _u17505, hAPP(hAPP(c_List_Omap(_u17507, _u17501), _u17509), _u17511), _u17513) | c_List_Olist__all2(_u17507, _u17503, hAPP(hAPP(c_COMBB(_u17501, tc_fun(_u17503, tc_HOL_Obool), _u17507), _u17505), _u17509), _u17511, _u17513) )).
% 20.36/20.63 cnf(matrix-7273, plain, ( ~c_List_Olist__all2(_u17508, _u17504, hAPP(hAPP(c_COMBB(_u17502, tc_fun(_u17504, tc_HOL_Obool), _u17508), _u17506), _u17510), _u17512, _u17514) | c_List_Olist__all2(_u17502, _u17504, _u17506, hAPP(hAPP(c_List_Omap(_u17508, _u17502), _u17510), _u17512), _u17514) )).
% 20.36/20.63 cnf(matrix-7274, plain, ( ~c_List_Olist__all2(_u17515, _u17516, _u17517, _u17518, _u17519) | c_List_Olist__all2(_u17515, _u17516, _u17517, hAPP(hAPP(c_List_Odrop(_u17515), _u17520), _u17518), hAPP(hAPP(c_List_Odrop(_u17516), _u17520), _u17519)) )).
% 20.36/20.63 cnf(matrix-7275, plain, ( ~c_List_Olist__all2(_u17521, _u17522, _u17523, _u17524, _u17525) | ~c_List_Olist__all2(_u17521, _u17522, _u17523, _u17526, _u17527) | c_List_Olist__all2(_u17521, _u17522, _u17523, hAPP(hAPP(c_List_Oappend(_u17521), _u17524), _u17526), hAPP(hAPP(c_List_Oappend(_u17522), _u17525), _u17527)) )).
% 20.36/20.63 cnf(matrix-7276, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17528)), _u17529) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17530)), _u17531)) | ~c_List_Olist__all2(_u17528, _u17530, _u17532, hAPP(hAPP(c_List_Oappend(_u17528), _u17529), _u17533), hAPP(hAPP(c_List_Oappend(_u17530), _u17531), _u17534)) | c_List_Olist__all2(_u17528, _u17530, _u17532, _u17529, _u17531) )).
% 20.36/20.63 cnf(matrix-7277, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17528)), _u17529) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17530)), _u17531)) | ~c_List_Olist__all2(_u17528, _u17530, _u17532, hAPP(hAPP(c_List_Oappend(_u17528), _u17529), _u17533), hAPP(hAPP(c_List_Oappend(_u17530), _u17531), _u17534)) | c_List_Olist__all2(_u17528, _u17530, _u17532, _u17533, _u17534) )).
% 20.36/20.63 cnf(matrix-7278, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17528)), _u17529) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17530)), _u17531)) | ~c_List_Olist__all2(_u17528, _u17530, _u17532, _u17529, _u17531) | ~c_List_Olist__all2(_u17528, _u17530, _u17532, _u17533, _u17534) | c_List_Olist__all2(_u17528, _u17530, _u17532, hAPP(hAPP(c_List_Oappend(_u17528), _u17529), _u17533), hAPP(hAPP(c_List_Oappend(_u17530), _u17531), _u17534)) )).
% 20.36/20.63 cnf(matrix-7279, plain, ( ~c_List_Olist__all2(_u17542, _u17544, _u17546, hAPP(hAPP(c_List_Olist_OCons(_u17542), _u17548), _u17550), hAPP(hAPP(c_List_Olist_OCons(_u17544), _u17552), _u17554)) | hBOOL(hAPP(hAPP(_u17546, _u17548), _u17552)) )).
% 20.36/20.63 cnf(matrix-7280, plain, ( ~c_List_Olist__all2(_u17542, _u17544, _u17546, hAPP(hAPP(c_List_Olist_OCons(_u17542), _u17548), _u17550), hAPP(hAPP(c_List_Olist_OCons(_u17544), _u17552), _u17554)) | c_List_Olist__all2(_u17542, _u17544, _u17546, _u17550, _u17554) )).
% 20.36/20.63 cnf(matrix-7281, plain, ( ~hBOOL(hAPP(hAPP(_u17547, _u17549), _u17553)) | ~c_List_Olist__all2(_u17543, _u17545, _u17547, _u17551, _u17555) | c_List_Olist__all2(_u17543, _u17545, _u17547, hAPP(hAPP(c_List_Olist_OCons(_u17543), _u17549), _u17551), hAPP(hAPP(c_List_Olist_OCons(_u17545), _u17553), _u17555)) )).
% 20.36/20.63 cnf(matrix-7282, plain, ( ~c_List_Olist__all2(_u17556, _u17557, _u17558, _u17559, _u17560) | c_List_Olist__all2(_u17556, _u17557, _u17558, hAPP(hAPP(c_List_Otake(_u17556), _u17561), _u17559), hAPP(hAPP(c_List_Otake(_u17557), _u17561), _u17560)) )).
% 20.36/20.63 cnf(matrix-7283, plain, ( ( _u17565 != _u17567) | c_List_Olist__all2(_u17569, _u17569, c_fequal, _u17565, _u17567) )).
% 20.36/20.63 cnf(matrix-7284, plain, ( ~c_List_Olist__all2(_u17570, _u17570, c_fequal, _u17566, _u17568) | ( _u17566 = _u17568) )).
% 20.36/20.63 cnf(matrix-7285, plain, ( ~c_List_Olist__all2(_u17571, _u17572, _u17573, _u17574, _u17575) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17571)), _u17574) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17572)), _u17575)) )).
% 20.36/20.63 cnf(matrix-7286, plain, ( ( _u17586 = c_List_Olist_ONil(_u17582)) | ~c_List_Olist__all2(_u17580, _u17582, _u17584, c_List_Olist_ONil(_u17580), _u17586) )).
% 20.36/20.63 cnf(matrix-7287, plain, ( ( _u17587 != c_List_Olist_ONil(_u17583)) | c_List_Olist__all2(_u17581, _u17583, _u17585, c_List_Olist_ONil(_u17581), _u17587) )).
% 20.36/20.63 cnf(matrix-7288, plain, ( ~c_List_Olist__all2(_u17592, _u17594, _u17596, _u17598, c_List_Olist_ONil(_u17594)) | ( _u17598 = c_List_Olist_ONil(_u17592)) )).
% 20.36/20.63 cnf(matrix-7289, plain, ( ( _u17599 != c_List_Olist_ONil(_u17593)) | c_List_Olist__all2(_u17593, _u17595, _u17597, _u17599, c_List_Olist_ONil(_u17595)) )).
% 20.36/20.63 cnf(matrix-7290, plain, ( ( c_Enum_Oproduct(_u17600, _u17601, c_List_Olist_ONil(_u17600), _u17602) = c_List_Olist_ONil(tc_prod(_u17600, _u17601))) )).
% 20.36/20.63 cnf(matrix-7291, plain, ( ~c_List_Olist__all2(_u17610, _u17612, _u17614, _u17616, _u17618) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17610)), _u17616) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17612)), _u17618)) )).
% 20.36/20.63 cnf(matrix-7292, plain, ( ~c_List_Olist__all2(_u17610, _u17612, _u17614, _u17616, _u17618) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17603), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17610)), _u17616))) | hBOOL(hAPP(hAPP(_u17614, hAPP(hAPP(c_List_Onth(_u17610), _u17616), _u17603)), hAPP(hAPP(c_List_Onth(_u17612), _u17618), _u17603))) )).
% 20.36/20.63 cnf(matrix-7293, plain, ( c_List_Olist__all2(_u17611, _u17613, _u17615, _u17617, _u17619) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17611)), _u17617) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17613)), _u17619)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem442(_u17619, _u17617, _u17615, _u17613, _u17611)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17611)), _u17617))) )).
% 20.36/20.63 cnf(matrix-7294, plain, ( c_List_Olist__all2(_u17611, _u17613, _u17615, _u17617, _u17619) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17611)), _u17617) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17613)), _u17619)) | ~hBOOL(hAPP(hAPP(_u17615, hAPP(hAPP(c_List_Onth(_u17611), _u17617), skolem442(_u17619, _u17617, _u17615, _u17613, _u17611))), hAPP(hAPP(c_List_Onth(_u17613), _u17619), skolem442(_u17619, _u17617, _u17615, _u17613, _u17611)))) )).
% 20.36/20.63 cnf(matrix-7295, plain, ( ~c_List_Olist__all2(_u17620, _u17621, _u17622, _u17623, _u17624) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17625), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17620)), _u17623))) | hBOOL(hAPP(hAPP(_u17622, hAPP(hAPP(c_List_Onth(_u17620), _u17623), _u17625)), hAPP(hAPP(c_List_Onth(_u17621), _u17624), _u17625))) )).
% 20.36/20.63 cnf(matrix-7296, plain, ( ~c_List_Olist__all2(_u17626, _u17627, _u17628, _u17629, _u17630) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17631), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17627)), _u17630))) | hBOOL(hAPP(hAPP(_u17628, hAPP(hAPP(c_List_Onth(_u17626), _u17629), _u17631)), hAPP(hAPP(c_List_Onth(_u17627), _u17630), _u17631))) )).
% 20.36/20.63 cnf(matrix-7297, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17632), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17633)), _u17634))) | ~c_List_Olist__all2(_u17633, _u17635, _u17636, _u17634, _u17637) | ~hBOOL(hAPP(hAPP(_u17636, _u17638), _u17639)) | c_List_Olist__all2(_u17633, _u17635, _u17636, hAPP(hAPP(c_List_Olist__update(_u17633, _u17634), _u17632), _u17638), hAPP(hAPP(c_List_Olist__update(_u17635, _u17637), _u17632), _u17639)) )).
% 20.36/20.63 cnf(matrix-7298, plain, ( ~c_List_Olist__all2(_u17640, _u17641, _u17642, _u17643, _u17644) | ~hBOOL(hAPP(hAPP(_u17642, _u17645), _u17646)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17647), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17641)), _u17644))) | c_List_Olist__all2(_u17640, _u17641, _u17642, hAPP(hAPP(c_List_Olist__update(_u17640, _u17643), _u17647), _u17645), hAPP(hAPP(c_List_Olist__update(_u17641, _u17644), _u17647), _u17646)) )).
% 20.36/20.63 cnf(matrix-7299, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17648), _u17649)) | ~hBOOL(hAPP(c_List_Odistinct(_u17650), _u17651)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u17648, _u17650)), c_Enum_Oproduct(_u17648, _u17650, _u17649, _u17651))) )).
% 20.36/20.63 cnf(matrix-7300, plain, ( ( hAPP(c_List_Oset(tc_prod(_u17652, _u17653)), c_Enum_Oproduct(_u17652, _u17653, _u17654, _u17655)) = hAPP(hAPP(c_Product__Type_OSigma(_u17652, _u17653), hAPP(c_List_Oset(_u17652), _u17654)), hAPP(c_COMBK(tc_fun(_u17653, tc_HOL_Obool), _u17652), hAPP(c_List_Oset(_u17653), _u17655)))) )).
% 20.36/20.63 cnf(matrix-7301, plain, ( ( hAPP(c_Set_Oimage(tc_List_Olist(_u17656), tc_fun(_u17656, tc_HOL_Obool), c_List_Oset(_u17656)), hAPP(c_List_Oset(tc_List_Olist(_u17656)), c_Enum_Osublists(_u17656, _u17657))) = hAPP(c_Set_OPow(_u17656), hAPP(c_List_Oset(_u17656), _u17657))) )).
% 20.36/20.63 cnf(matrix-7302, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17658))), c_Enum_Osublists(_u17658, _u17659)) = 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(_u17658)), _u17659))) )).
% 20.36/20.63 cnf(matrix-7303, plain, ( ( c_Enum_Osublists(_u17660, c_List_Olist_ONil(_u17660)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17660)), c_List_Olist_ONil(_u17660)), c_List_Olist_ONil(tc_List_Olist(_u17660)))) )).
% 20.36/20.63 cnf(matrix-7304, plain, ( ( c_Enum_Osublists(_u17661, hAPP(hAPP(c_List_Olist_OCons(_u17661), _u17662), _u17663)) = hAPP(hAPP(c_HOL_OLet(tc_List_Olist(tc_List_Olist(_u17661)), tc_List_Olist(tc_List_Olist(_u17661))), c_Enum_Osublists(_u17661, _u17663)), hAPP(hAPP(c_COMBS(tc_List_Olist(tc_List_Olist(_u17661)), tc_List_Olist(tc_List_Olist(_u17661)), tc_List_Olist(tc_List_Olist(_u17661))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_List_Olist(_u17661)), tc_fun(tc_List_Olist(tc_List_Olist(_u17661)), tc_List_Olist(tc_List_Olist(_u17661))), tc_List_Olist(tc_List_Olist(_u17661))), c_List_Oappend(tc_List_Olist(_u17661))), hAPP(c_List_Omap(tc_List_Olist(_u17661), tc_List_Olist(_u17661)), hAPP(c_List_Olist_OCons(_u17661), _u17662)))), c_COMBI(tc_List_Olist(tc_List_Olist(_u17661)))))) )).
% 20.36/20.63 cnf(matrix-7305, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17664), _u17665)) | hBOOL(hAPP(c_List_Odistinct(tc_fun(_u17664, tc_HOL_Obool)), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17664), tc_fun(_u17664, tc_HOL_Obool)), c_List_Oset(_u17664)), c_Enum_Osublists(_u17664, _u17665)))) )).
% 20.36/20.63 cnf(matrix-7306, plain, ( ( hAPP(c_List_Oset(tc_List_Olist(_u17666)), c_Enum_On__lists(_u17666, _u17667, _u17668)) = hAPP(c_Set_OCollect(tc_List_Olist(_u17666)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17666), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u17666)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17666), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17666)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17666)))), _u17667))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17666), tc_fun(_u17666, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u17666, tc_HOL_Obool), tc_fun(tc_fun(_u17666, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u17666)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u17666, tc_HOL_Obool))), c_List_Oset(_u17666))), hAPP(c_List_Oset(_u17666), _u17668))))) )).
% 20.36/20.63 cnf(matrix-7307, plain, ( ( c_Enum_Oenum__the(_u17669, _u17670) = c_HOL_OThe(_u17669, _u17670)) )).
% 20.36/20.63 cnf(matrix-7308, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17671), _u17672)) | hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u17671)), c_Enum_On__lists(_u17671, _u17673, _u17672))) )).
% 20.36/20.63 cnf(matrix-7309, plain, ( ( _u17676 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Enum_On__lists(_u17678, _u17676, c_List_Olist_ONil(_u17678)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17678)), c_List_Olist_ONil(_u17678)), c_List_Olist_ONil(tc_List_Olist(_u17678)))) )).
% 20.36/20.63 cnf(matrix-7310, plain, ( ( _u17677 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Enum_On__lists(_u17679, _u17677, c_List_Olist_ONil(_u17679)) = c_List_Olist_ONil(tc_List_Olist(_u17679))) )).
% 20.36/20.63 cnf(matrix-7311, plain, ( ( c_Enum_On__lists(_u17680, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u17681) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17680)), c_List_Olist_ONil(_u17680)), c_List_Olist_ONil(tc_List_Olist(_u17680)))) )).
% 20.36/20.63 cnf(matrix-7312, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17682))), c_Enum_On__lists(_u17682, _u17683, _u17684)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17682)), _u17684)), _u17683)) )).
% 20.36/20.63 cnf(matrix-7313, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17685)), _u17686), hAPP(c_List_Oset(tc_List_Olist(_u17685)), c_Enum_On__lists(_u17685, _u17687, _u17688)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17685)), _u17686) = _u17687) )).
% 20.36/20.63 cnf(matrix-7314, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17690)), _u17692) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17691)), _u17693)) | c_List_Olist__all2(_u17690, _u17691, _u17694, _u17692, _u17693) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17690, _u17691)), skolem443(_u17694, _u17693, _u17692, _u17691, _u17690)), hAPP(c_List_Oset(tc_prod(_u17690, _u17691)), hAPP(hAPP(c_List_Ozip(_u17690, _u17691), _u17692), _u17693)))) )).
% 20.36/20.63 cnf(matrix-7315, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17690)), _u17692) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17691)), _u17693)) | c_List_Olist__all2(_u17690, _u17691, _u17694, _u17692, _u17693) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u17690, _u17691, tc_HOL_Obool), _u17694), skolem443(_u17694, _u17693, _u17692, _u17691, _u17690))) )).
% 20.36/20.63 cnf(matrix-7316, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17696), _u17699), hAPP(c_List_Oset(_u17696), _u17697))) | hBOOL(hAPP(_u17698, _u17699)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem444(_u17699, _u17698, _u17697, _u17696)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17696)), _u17697))) )).
% 20.36/20.63 cnf(matrix-7317, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17696), _u17699), hAPP(c_List_Oset(_u17696), _u17697))) | hBOOL(hAPP(_u17698, _u17699)) | ~hBOOL(hAPP(_u17698, hAPP(hAPP(c_List_Onth(_u17696), _u17697), skolem444(_u17699, _u17698, _u17697, _u17696)))) )).
% 20.36/20.63 cnf(matrix-7318, plain, ( ~c_Finite__Set_Ofun__left__comm(_u17700, _u17701, _u17702) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u17700, _u17701, _u17702), _u17703), hAPP(c_List_Oset(_u17700), _u17704)) = hAPP(c_List_Ofoldl(_u17701, _u17700, hAPP(c_COMBC(_u17700, _u17701, _u17701), _u17702), _u17703), c_List_Oremdups(_u17700, _u17704))) )).
% 20.36/20.63 cnf(matrix-7319, plain, ( ~c_Fun_Oinj__on(_u17705, _u17706, _u17707, hAPP(hAPP(c_Set_Oinsert(_u17705), _u17708), hAPP(c_List_Oset(_u17705), _u17709))) | ( hAPP(hAPP(c_List_Omap(_u17705, _u17706), _u17707), hAPP(c_List_OremoveAll(_u17705, _u17708), _u17709)) = hAPP(c_List_OremoveAll(_u17706, hAPP(_u17707, _u17708)), hAPP(hAPP(c_List_Omap(_u17705, _u17706), _u17707), _u17709))) )).
% 20.36/20.63 cnf(matrix-7320, plain, ( hBOOL(hAPP(c_List_Odistinct(_u17710), c_List_Oremdups(_u17710, _u17711))) )).
% 20.36/20.63 cnf(matrix-7321, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17712)), c_List_Oremdups(_u17712, _u17713))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17712)), _u17713))) )).
% 20.36/20.63 cnf(matrix-7322, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17714), _u17715)) | ( c_List_Oremdups(_u17714, _u17715) = _u17715) )).
% 20.36/20.63 cnf(matrix-7323, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17716), _u17717)) | hBOOL(hAPP(c_List_Odistinct(_u17716), hAPP(c_List_OremoveAll(_u17716, _u17718), _u17717))) )).
% 20.36/20.63 cnf(matrix-7324, plain, ( ( c_List_Oremdups(_u17721, _u17723) != _u17723) | hBOOL(hAPP(c_List_Odistinct(_u17721), _u17723)) )).
% 20.36/20.63 cnf(matrix-7325, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17722), _u17724)) | ( c_List_Oremdups(_u17722, _u17724) = _u17724) )).
% 20.36/20.63 cnf(matrix-7326, plain, ( ( hAPP(c_List_Oset(_u17725), c_List_Oremdups(_u17725, _u17726)) = hAPP(c_List_Oset(_u17725), _u17726)) )).
% 20.36/20.63 cnf(matrix-7327, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17729)), c_List_Oremdups(_u17729, _u17731)) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17729)), _u17731)) | ( c_List_Oremdups(_u17729, _u17731) = _u17731) )).
% 20.36/20.63 cnf(matrix-7328, plain, ( ( c_List_Oremdups(_u17730, _u17732) != _u17732) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17730)), c_List_Oremdups(_u17730, _u17732)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17730)), _u17732)) )).
% 20.36/20.63 cnf(matrix-7329, plain, ( ( c_List_Oremdups(_u17733, c_List_Oremdups(_u17733, _u17734)) = c_List_Oremdups(_u17733, _u17734)) )).
% 20.36/20.63 cnf(matrix-7330, plain, ( ( c_List_Oremdups(_u17737, _u17739) != c_List_Olist_ONil(_u17737)) | ( _u17739 = c_List_Olist_ONil(_u17737)) )).
% 20.36/20.63 cnf(matrix-7331, plain, ( ( _u17740 != c_List_Olist_ONil(_u17738)) | ( c_List_Oremdups(_u17738, _u17740) = c_List_Olist_ONil(_u17738)) )).
% 20.36/20.63 cnf(matrix-7332, plain, ( ( hAPP(c_List_OremoveAll(_u17741, _u17742), c_List_Olist_ONil(_u17741)) = c_List_Olist_ONil(_u17741)) )).
% 20.36/20.63 cnf(matrix-7333, plain, ( ( c_List_Olist_ONil(_u17745) != c_List_Oremdups(_u17745, _u17747)) | ( _u17747 = c_List_Olist_ONil(_u17745)) )).
% 20.36/20.63 cnf(matrix-7334, plain, ( ( _u17748 != c_List_Olist_ONil(_u17746)) | ( c_List_Olist_ONil(_u17746) = c_List_Oremdups(_u17746, _u17748)) )).
% 20.36/20.63 cnf(matrix-7335, plain, ( ( c_List_Oremdups(_u17749, c_List_Olist_ONil(_u17749)) = c_List_Olist_ONil(_u17749)) )).
% 20.36/20.63 cnf(matrix-7336, plain, ( ( _u17754 != _u17756) | ( hAPP(c_List_OremoveAll(_u17758, _u17754), hAPP(hAPP(c_List_Olist_OCons(_u17758), _u17756), _u17760)) = hAPP(c_List_OremoveAll(_u17758, _u17754), _u17760)) )).
% 20.36/20.63 cnf(matrix-7337, plain, ( ( _u17755 = _u17757) | ( hAPP(c_List_OremoveAll(_u17759, _u17755), hAPP(hAPP(c_List_Olist_OCons(_u17759), _u17757), _u17761)) = hAPP(hAPP(c_List_Olist_OCons(_u17759), _u17757), hAPP(c_List_OremoveAll(_u17759, _u17755), _u17761))) )).
% 20.36/20.63 cnf(matrix-7338, plain, ( ( hAPP(c_List_OremoveAll(_u17762, _u17763), hAPP(hAPP(c_List_Oappend(_u17762), _u17764), _u17765)) = hAPP(hAPP(c_List_Oappend(_u17762), hAPP(c_List_OremoveAll(_u17762, _u17763), _u17764)), hAPP(c_List_OremoveAll(_u17762, _u17763), _u17765))) )).
% 20.36/20.63 cnf(matrix-7339, plain, ( ( c_List_Oremdups(_u17766, hAPP(hAPP(c_List_Omap(_u17767, _u17766), _u17768), c_List_Oremdups(_u17767, _u17769))) = c_List_Oremdups(_u17766, hAPP(hAPP(c_List_Omap(_u17767, _u17766), _u17768), _u17769))) )).
% 20.36/20.63 cnf(matrix-7340, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17770), _u17771)) | ( c_List_Oremove1(_u17770, _u17772, c_List_Oremdups(_u17770, _u17771)) = c_List_Oremdups(_u17770, c_List_Oremove1(_u17770, _u17772, _u17771))) )).
% 20.36/20.63 cnf(matrix-7341, plain, ( hBOOL(hAPP(hAPP(c_member(_u17773), _u17774), hAPP(c_List_Oset(_u17773), _u17775))) | ( hAPP(c_List_OremoveAll(_u17773, _u17774), _u17775) = _u17775) )).
% 20.36/20.63 cnf(matrix-7342, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17776), _u17777)) | ( c_List_Oremove1(_u17776, _u17778, _u17777) = hAPP(c_List_OremoveAll(_u17776, _u17778), _u17777)) )).
% 20.36/20.63 cnf(matrix-7343, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17782), _u17784), hAPP(c_List_Oset(_u17782), _u17786))) | ( c_List_Oremdups(_u17782, hAPP(hAPP(c_List_Olist_OCons(_u17782), _u17784), _u17786)) = c_List_Oremdups(_u17782, _u17786)) )).
% 20.36/20.63 cnf(matrix-7344, plain, ( hBOOL(hAPP(hAPP(c_member(_u17783), _u17785), hAPP(c_List_Oset(_u17783), _u17787))) | ( c_List_Oremdups(_u17783, hAPP(hAPP(c_List_Olist_OCons(_u17783), _u17785), _u17787)) = hAPP(hAPP(c_List_Olist_OCons(_u17783), _u17785), c_List_Oremdups(_u17783, _u17787))) )).
% 20.36/20.63 cnf(matrix-7345, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17788)), c_List_Oremdups(_u17788, _u17789)) = hAPP(c_Finite__Set_Ocard(_u17788), hAPP(c_List_Oset(_u17788), _u17789))) )).
% 20.36/20.63 cnf(matrix-7346, plain, ( ~c_Fun_Oinj__on(_u17790, _u17791, _u17792, c_Orderings_Otop__class_Otop(tc_fun(_u17790, tc_HOL_Obool))) | ( hAPP(hAPP(c_List_Omap(_u17790, _u17791), _u17792), hAPP(c_List_OremoveAll(_u17790, _u17793), _u17794)) = hAPP(c_List_OremoveAll(_u17791, hAPP(_u17792, _u17793)), hAPP(hAPP(c_List_Omap(_u17790, _u17791), _u17792), _u17794))) )).
% 20.36/20.63 cnf(matrix-7347, plain, ( ( hAPP(c_List_Oset(_u17795), hAPP(c_List_OremoveAll(_u17795, _u17796), _u17797)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u17795, tc_HOL_Obool)), hAPP(c_List_Oset(_u17795), _u17797)), hAPP(hAPP(c_Set_Oinsert(_u17795), _u17796), c_Orderings_Obot__class_Obot(tc_fun(_u17795, tc_HOL_Obool))))) )).
% 20.36/20.63 cnf(matrix-7348, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17798)), c_List_Oremdups(_u17798, c_List_Oconcat(_u17798, _u17799))) = hAPP(c_Finite__Set_Ocard(_u17798), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u17798), tc_fun(_u17798, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u17798)), _u17799)), c_List_Oset(_u17798)))) )).
% 20.36/20.63 cnf(matrix-7349, plain, ( ~class_Orderings_Olinorder(_u17800) | ( c_List_Olinorder__class_Osorted__list__of__set(_u17800, hAPP(c_List_Oset(_u17800), _u17801)) = c_List_Olinorder__class_Osort__key(_u17800, _u17800, c_COMBI(_u17800), c_List_Oremdups(_u17800, _u17801))) )).
% 20.36/20.63 cnf(matrix-7350, plain, ( ~class_Orderings_Olinorder(_u17802) | ( c_List_Olinorder__class_Osort__key(_u17803, _u17802, _u17804, c_List_Olist_ONil(_u17803)) = c_List_Olist_ONil(_u17803)) )).
% 20.36/20.63 cnf(matrix-7351, plain, ( ( hAPP(c_List_Ofoldl(tc_List_Olist(_u17805), tc_List_Olist(_u17805), c_List_Oappend(_u17805), _u17806), _u17807) = hAPP(hAPP(c_List_Oappend(_u17805), _u17806), c_List_Oconcat(_u17805, _u17807))) )).
% 20.36/20.63 cnf(matrix-7352, plain, ( ( c_List_Oconcat(_u17808, _u17809) = hAPP(c_List_Ofoldl(tc_List_Olist(_u17808), tc_List_Olist(_u17808), c_List_Oappend(_u17808), c_List_Olist_ONil(_u17808)), _u17809)) )).
% 20.36/20.63 cnf(matrix-7353, plain, ( ~class_Orderings_Olinorder(_u17810) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17811)), c_List_Olinorder__class_Osort__key(_u17811, _u17810, _u17812, _u17813)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17811)), _u17813)) )).
% 20.36/20.63 cnf(matrix-7354, plain, ( ~class_Orderings_Olinorder(_u17814) | ( hAPP(c_List_Oset(_u17815), c_List_Olinorder__class_Osort__key(_u17815, _u17814, _u17816, _u17817)) = hAPP(c_List_Oset(_u17815), _u17817)) )).
% 20.36/20.63 cnf(matrix-7355, plain, ( ~class_Orderings_Olinorder(_u17818) | ~hBOOL(hAPP(c_List_Odistinct(_u17819), c_List_Olinorder__class_Osort__key(_u17819, _u17818, _u17820, _u17821))) | hBOOL(hAPP(c_List_Odistinct(_u17819), _u17821)) )).
% 20.36/20.63 cnf(matrix-7356, plain, ( ~class_Orderings_Olinorder(_u17818) | ~hBOOL(hAPP(c_List_Odistinct(_u17819), _u17821)) | hBOOL(hAPP(c_List_Odistinct(_u17819), c_List_Olinorder__class_Osort__key(_u17819, _u17818, _u17820, _u17821))) )).
% 20.36/20.63 cnf(matrix-7357, plain, ( ( c_List_Oconcat(_u17822, c_List_Olist_ONil(tc_List_Olist(_u17822))) = c_List_Olist_ONil(_u17822)) )).
% 20.36/20.63 cnf(matrix-7358, plain, ( ( c_List_Oconcat(_u17823, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17823)), _u17824), _u17825)) = hAPP(hAPP(c_List_Oappend(_u17823), _u17824), c_List_Oconcat(_u17823, _u17825))) )).
% 20.36/20.63 cnf(matrix-7359, plain, ( ( c_List_Oconcat(_u17830, _u17832) != c_List_Olist_ONil(_u17830)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17830)), _u17826), hAPP(c_List_Oset(tc_List_Olist(_u17830)), _u17832))) | ( _u17826 = c_List_Olist_ONil(_u17830)) )).
% 20.36/20.63 cnf(matrix-7360, plain, ( ( c_List_Oconcat(_u17831, _u17833) = c_List_Olist_ONil(_u17831)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17831)), skolem445(_u17833, _u17831)), hAPP(c_List_Oset(tc_List_Olist(_u17831)), _u17833))) )).
% 20.36/20.63 cnf(matrix-7361, plain, ( ( c_List_Oconcat(_u17831, _u17833) = c_List_Olist_ONil(_u17831)) | ( skolem445(_u17833, _u17831) != c_List_Olist_ONil(_u17831)) )).
% 20.36/20.63 cnf(matrix-7362, plain, ( ( c_List_Olist_ONil(_u17838) != c_List_Oconcat(_u17838, _u17840)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17838)), _u17834), hAPP(c_List_Oset(tc_List_Olist(_u17838)), _u17840))) | ( _u17834 = c_List_Olist_ONil(_u17838)) )).
% 20.36/20.63 cnf(matrix-7363, plain, ( ( c_List_Olist_ONil(_u17839) = c_List_Oconcat(_u17839, _u17841)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17839)), skolem446(_u17841, _u17839)), hAPP(c_List_Oset(tc_List_Olist(_u17839)), _u17841))) )).
% 20.36/20.63 cnf(matrix-7364, plain, ( ( c_List_Olist_ONil(_u17839) = c_List_Oconcat(_u17839, _u17841)) | ( skolem446(_u17841, _u17839) != c_List_Olist_ONil(_u17839)) )).
% 20.36/20.63 cnf(matrix-7365, plain, ( ( hAPP(hAPP(c_List_Omap(_u17842, _u17843), _u17844), c_List_Oconcat(_u17842, _u17845)) = c_List_Oconcat(_u17843, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17842), tc_List_Olist(_u17843)), hAPP(c_List_Omap(_u17842, _u17843), _u17844)), _u17845))) )).
% 20.36/20.63 cnf(matrix-7366, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17846)), c_List_Oconcat(_u17846, _u17847)) = hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17846), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u17846))), _u17847))) )).
% 20.36/20.63 cnf(matrix-7367, plain, ( ( hAPP(c_List_Oset(_u17848), c_List_Oconcat(_u17848, _u17849)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u17848), tc_fun(_u17848, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u17848)), _u17849)), c_List_Oset(_u17848))) )).
% 20.36/20.63 cnf(matrix-7368, plain, ( ~class_Orderings_Olinorder(_u17850) | ( c_List_Olinorder__class_Osort__key(_u17851, _u17850, _u17852, hAPP(hAPP(c_List_Olist_OCons(_u17851), _u17853), _u17854)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17851, _u17850, _u17852), _u17853), c_List_Olinorder__class_Osort__key(_u17851, _u17850, _u17852, _u17854))) )).
% 20.36/20.63 cnf(matrix-7369, plain, ( ( c_List_Oconcat(_u17855, hAPP(hAPP(c_List_Oappend(tc_List_Olist(_u17855)), _u17856), _u17857)) = hAPP(hAPP(c_List_Oappend(_u17855), c_List_Oconcat(_u17855, _u17856)), c_List_Oconcat(_u17855, _u17857))) )).
% 20.36/20.63 cnf(matrix-7370, plain, ( ~class_Orderings_Olinorder(_u17858) | ( c_List_Olinorder__class_Osort__key(_u17858, _u17858, c_COMBI(_u17858), _u17859) = hAPP(c_List_Ofoldl(tc_List_Olist(_u17858), _u17858, hAPP(c_COMBC(_u17858, tc_List_Olist(_u17858), tc_List_Olist(_u17858)), c_List_Olinorder__class_Oinsort__key(_u17858, _u17858, c_COMBI(_u17858))), c_List_Olist_ONil(_u17858)), _u17859)) )).
% 20.36/20.63 cnf(matrix-7371, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17861), tc_List_Olist(_u17861))), skolem447(_u17863, _u17862, _u17861)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u17861), tc_List_Olist(_u17861))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u17861), tc_List_Olist(_u17861)), _u17862), _u17863)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17861))), _u17862) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17861))), _u17863)) | ( c_List_Oconcat(_u17861, _u17862) != c_List_Oconcat(_u17861, _u17863)) | ( _u17862 = _u17863) )).
% 20.36/20.63 cnf(matrix-7372, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17861), tc_List_Olist(_u17861))), skolem447(_u17863, _u17862, _u17861)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u17861), tc_List_Olist(_u17861))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u17861), tc_List_Olist(_u17861)), _u17862), _u17863)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17861))), _u17862) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17861))), _u17863)) | ( _u17862 != _u17863) | ( c_List_Oconcat(_u17861, _u17862) = c_List_Oconcat(_u17861, _u17863)) )).
% 20.36/20.63 cnf(matrix-7373, plain, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17861), tc_List_Olist(_u17861), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17861), tc_fun(tc_List_Olist(_u17861), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17861), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17861), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17861), tc_HOL_Obool)), tc_List_Olist(_u17861)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17861))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17861)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17861))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17861)))), skolem447(_u17863, _u17862, _u17861))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17861))), _u17862) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17861))), _u17863)) | ( c_List_Oconcat(_u17861, _u17862) != c_List_Oconcat(_u17861, _u17863)) | ( _u17862 = _u17863) )).
% 20.36/20.63 cnf(matrix-7374, plain, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17861), tc_List_Olist(_u17861), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17861), tc_fun(tc_List_Olist(_u17861), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17861), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17861), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17861), tc_HOL_Obool)), tc_List_Olist(_u17861)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17861))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17861)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17861))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17861)))), skolem447(_u17863, _u17862, _u17861))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17861))), _u17862) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17861))), _u17863)) | ( _u17862 != _u17863) | ( c_List_Oconcat(_u17861, _u17862) = c_List_Oconcat(_u17861, _u17863)) )).
% 20.36/20.63 cnf(matrix-7375, plain, ( ( c_List_Oconcat(_u17865, _u17866) != c_List_Oconcat(_u17865, _u17867)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17865))), _u17866) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17865))), _u17867)) | ( _u17866 = _u17867) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17865), tc_List_Olist(_u17865))), skolem448(_u17867, _u17866, _u17865)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u17865), tc_List_Olist(_u17865))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u17865), tc_List_Olist(_u17865)), _u17866), _u17867)))) )).
% 20.36/20.63 cnf(matrix-7376, plain, ( ( c_List_Oconcat(_u17865, _u17866) != c_List_Oconcat(_u17865, _u17867)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17865))), _u17866) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17865))), _u17867)) | ( _u17866 = _u17867) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17865), tc_List_Olist(_u17865), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17865), tc_fun(tc_List_Olist(_u17865), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17865), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17865), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17865), tc_HOL_Obool)), tc_List_Olist(_u17865)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17865))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17865)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17865))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17865)))), skolem448(_u17867, _u17866, _u17865))) )).
% 20.36/20.63 cnf(matrix-7377, plain, ( ( c_List_Oconcat(_u17868, hAPP(hAPP(c_List_Omap(_u17869, tc_List_Olist(_u17868)), hAPP(hAPP(c_COMBC(_u17869, tc_List_Olist(_u17868), tc_List_Olist(_u17868)), hAPP(hAPP(c_COMBB(_u17868, tc_fun(tc_List_Olist(_u17868), tc_List_Olist(_u17868)), _u17869), c_List_Olist_OCons(_u17868)), _u17870)), c_List_Olist_ONil(_u17868))), _u17871)) = hAPP(hAPP(c_List_Omap(_u17869, _u17868), _u17870), _u17871)) )).
% 20.36/20.63 cnf(matrix-7378, plain, ( ( c_Enum_On__lists(_u17872, hAPP(c_Nat_OSuc, _u17873), _u17874) = c_List_Oconcat(tc_List_Olist(_u17872), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17872), tc_List_Olist(tc_List_Olist(_u17872))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17872), tc_List_Olist(_u17872), tc_List_Olist(tc_List_Olist(_u17872))), hAPP(hAPP(c_COMBB(tc_fun(_u17872, tc_List_Olist(_u17872)), tc_fun(tc_List_Olist(_u17872), tc_List_Olist(tc_List_Olist(_u17872))), tc_List_Olist(_u17872)), c_List_Omap(_u17872, tc_List_Olist(_u17872))), hAPP(c_COMBC(_u17872, tc_List_Olist(_u17872), tc_List_Olist(_u17872)), c_List_Olist_OCons(_u17872)))), _u17874)), c_Enum_On__lists(_u17872, _u17873, _u17874)))) )).
% 20.36/20.63 cnf(matrix-7379, plain, ( ( c_List_Otranspose(_u17875, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17875)), hAPP(hAPP(c_List_Olist_OCons(_u17875), _u17876), _u17877)), _u17878)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17875)), hAPP(hAPP(c_List_Olist_OCons(_u17875), _u17876), c_List_Oconcat(_u17875, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17875), tc_List_Olist(_u17875)), c_List_Olist_Olist__case(tc_List_Olist(_u17875), _u17875, c_List_Olist_ONil(_u17875), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17875), tc_fun(tc_List_Olist(_u17875), tc_List_Olist(_u17875)), _u17875), c_COMBK(tc_List_Olist(_u17875), tc_List_Olist(_u17875))), hAPP(hAPP(c_COMBC(_u17875, tc_List_Olist(_u17875), tc_List_Olist(_u17875)), c_List_Olist_OCons(_u17875)), c_List_Olist_ONil(_u17875))))), _u17878)))), c_List_Otranspose(_u17875, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17875)), _u17877), c_List_Oconcat(tc_List_Olist(_u17875), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17875), tc_List_Olist(tc_List_Olist(_u17875))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u17875)), _u17875, c_List_Olist_ONil(tc_List_Olist(_u17875)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u17875), tc_List_Olist(tc_List_Olist(_u17875))), _u17875), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17875), tc_List_Olist(tc_List_Olist(_u17875)), tc_List_Olist(tc_List_Olist(_u17875))), c_List_Olist_OCons(tc_List_Olist(_u17875))), c_List_Olist_ONil(tc_List_Olist(_u17875)))))), _u17878)))))) )).
% 20.36/20.63 cnf(matrix-7380, plain, ( ( c_List_Oconcat(_u17879, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17879), tc_List_Olist(_u17879)), c_List_Olist_Olist__case(tc_List_Olist(_u17879), _u17879, c_List_Olist_ONil(_u17879), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17879), tc_fun(tc_List_Olist(_u17879), tc_List_Olist(_u17879)), _u17879), c_COMBK(tc_List_Olist(_u17879), tc_List_Olist(_u17879))), hAPP(hAPP(c_COMBC(_u17879, tc_List_Olist(_u17879), tc_List_Olist(_u17879)), c_List_Olist_OCons(_u17879)), c_List_Olist_ONil(_u17879))))), _u17880)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17879), _u17879), c_List_Ohd(_u17879)), hAPP(c_List_Ofilter(tc_List_Olist(_u17879), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u17879)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17879), tc_List_Olist(_u17879), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u17879)))), _u17880))) )).
% 20.36/20.63 cnf(matrix-7381, plain, ( ( hAPP(c_List_Ofilter(_u17881, _u17882), c_List_Oconcat(_u17881, _u17883)) = c_List_Oconcat(_u17881, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17881), tc_List_Olist(_u17881)), c_List_Ofilter(_u17881, _u17882)), _u17883))) )).
% 20.36/20.63 cnf(matrix-7382, plain, ( ~class_Orderings_Olinorder(_u17884) | ( hAPP(c_List_Ofilter(_u17885, _u17886), c_List_Olinorder__class_Osort__key(_u17885, _u17884, _u17887, _u17888)) = c_List_Olinorder__class_Osort__key(_u17885, _u17884, _u17887, hAPP(c_List_Ofilter(_u17885, _u17886), _u17888))) )).
% 20.36/20.63 cnf(matrix-7383, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17889), _u17890)) | hBOOL(hAPP(c_List_Odistinct(_u17889), hAPP(c_List_Ofilter(_u17889, _u17891), _u17890))) )).
% 20.36/20.63 cnf(matrix-7384, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17892, tc_HOL_Obool)), hAPP(c_List_Oset(_u17892), hAPP(c_List_Ofilter(_u17892, _u17893), _u17894))), hAPP(c_List_Oset(_u17892), _u17894))) )).
% 20.36/20.63 cnf(matrix-7385, plain, ( ( hAPP(c_List_Ofilter(_u17900, _u17902), _u17904) != _u17904) | ~hBOOL(hAPP(hAPP(c_member(_u17900), _u17895), hAPP(c_List_Oset(_u17900), _u17904))) | hBOOL(hAPP(_u17902, _u17895)) )).
% 20.36/20.63 cnf(matrix-7386, plain, ( ( hAPP(c_List_Ofilter(_u17901, _u17903), _u17905) = _u17905) | hBOOL(hAPP(hAPP(c_member(_u17901), skolem449(_u17905, _u17903, _u17901)), hAPP(c_List_Oset(_u17901), _u17905))) )).
% 20.36/20.63 cnf(matrix-7387, plain, ( ( hAPP(c_List_Ofilter(_u17901, _u17903), _u17905) = _u17905) | ~hBOOL(hAPP(_u17903, skolem449(_u17905, _u17903, _u17901))) )).
% 20.36/20.63 cnf(matrix-7388, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17906)), hAPP(c_List_Ofilter(_u17906, _u17907), _u17908))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17906)), hAPP(c_List_Ofilter(_u17906, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u17906), c_fNot), _u17907)), _u17908))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17906)), _u17908)) )).
% 20.36/20.63 cnf(matrix-7389, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17909)), hAPP(c_List_Ofilter(_u17909, _u17910), _u17911))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17909)), _u17911))) )).
% 20.36/20.63 cnf(matrix-7390, plain, ( ( hAPP(c_List_Ofilter(_u17912, _u17913), hAPP(c_List_Ofilter(_u17912, _u17914), _u17915)) = hAPP(c_List_Ofilter(_u17912, hAPP(hAPP(c_COMBS(_u17912, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17912), c_fconj), _u17914)), _u17913)), _u17915)) )).
% 20.36/20.63 cnf(matrix-7391, plain, ( ( hAPP(c_List_Ofilter(_u17916, _u17917), c_List_Oremove1(_u17916, _u17918, _u17919)) = c_List_Oremove1(_u17916, _u17918, hAPP(c_List_Ofilter(_u17916, _u17917), _u17919))) )).
% 20.36/20.63 cnf(matrix-7392, plain, ( hBOOL(hAPP(_u17920, _u17921)) | ( c_List_Oremove1(_u17922, _u17921, hAPP(c_List_Ofilter(_u17922, _u17920), _u17923)) = hAPP(c_List_Ofilter(_u17922, _u17920), _u17923)) )).
% 20.36/20.63 cnf(matrix-7393, plain, ( ~class_Orderings_Olinorder(_u17924) | hBOOL(hAPP(_u17925, _u17926)) | ( hAPP(c_List_Ofilter(_u17927, _u17925), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17927, _u17924, _u17928), _u17926), _u17929)) = hAPP(c_List_Ofilter(_u17927, _u17925), _u17929)) )).
% 20.36/20.63 cnf(matrix-7394, plain, ( ( hAPP(c_Product__Type_Ofst(tc_List_Olist(_u17930), tc_List_Olist(_u17930)), c_List_Opartition(_u17930, _u17931, _u17932)) = hAPP(c_List_Ofilter(_u17930, _u17931), _u17932)) )).
% 20.36/20.63 cnf(matrix-7395, plain, ( ( hAPP(c_List_Ofilter(_u17933, _u17934), hAPP(hAPP(c_List_Omap(_u17935, _u17933), _u17936), _u17937)) = hAPP(hAPP(c_List_Omap(_u17935, _u17933), _u17936), hAPP(c_List_Ofilter(_u17935, hAPP(c_Fun_Ocomp(_u17933, tc_HOL_Obool, _u17935, _u17934), _u17936)), _u17937))) )).
% 20.36/20.63 cnf(matrix-7396, plain, ( ( hAPP(c_List_Ofilter(_u17938, _u17939), c_List_Olist_ONil(_u17938)) = c_List_Olist_ONil(_u17938)) )).
% 20.36/20.63 cnf(matrix-7397, plain, ( ( c_List_Otranspose(_u17940, c_List_Olist_ONil(tc_List_Olist(_u17940))) = c_List_Olist_ONil(tc_List_Olist(_u17940))) )).
% 20.36/20.63 cnf(matrix-7398, plain, ( ~hBOOL(hAPP(_u17945, _u17947)) | ( hAPP(c_List_Ofilter(_u17949, _u17945), hAPP(hAPP(c_List_Olist_OCons(_u17949), _u17947), _u17951)) = hAPP(hAPP(c_List_Olist_OCons(_u17949), _u17947), hAPP(c_List_Ofilter(_u17949, _u17945), _u17951))) )).
% 20.36/20.63 cnf(matrix-7399, plain, ( hBOOL(hAPP(_u17946, _u17948)) | ( hAPP(c_List_Ofilter(_u17950, _u17946), hAPP(hAPP(c_List_Olist_OCons(_u17950), _u17948), _u17952)) = hAPP(c_List_Ofilter(_u17950, _u17946), _u17952)) )).
% 20.36/20.63 cnf(matrix-7400, plain, ( ( hAPP(c_List_Ofilter(_u17953, _u17954), hAPP(hAPP(c_List_Oappend(_u17953), _u17955), _u17956)) = hAPP(hAPP(c_List_Oappend(_u17953), hAPP(c_List_Ofilter(_u17953, _u17954), _u17955)), hAPP(c_List_Ofilter(_u17953, _u17954), _u17956))) )).
% 20.36/20.63 cnf(matrix-7401, plain, ( ( hAPP(c_List_Ofilter(_u17962, _u17964), _u17966) != c_List_Olist_ONil(_u17962)) | ~hBOOL(hAPP(hAPP(c_member(_u17962), _u17957), hAPP(c_List_Oset(_u17962), _u17966))) | ~hBOOL(hAPP(_u17964, _u17957)) )).
% 20.36/20.63 cnf(matrix-7402, plain, ( ( hAPP(c_List_Ofilter(_u17963, _u17965), _u17967) = c_List_Olist_ONil(_u17963)) | hBOOL(hAPP(hAPP(c_member(_u17963), skolem450(_u17967, _u17965, _u17963)), hAPP(c_List_Oset(_u17963), _u17967))) )).
% 20.36/20.63 cnf(matrix-7403, plain, ( ( hAPP(c_List_Ofilter(_u17963, _u17965), _u17967) = c_List_Olist_ONil(_u17963)) | hBOOL(hAPP(_u17965, skolem450(_u17967, _u17965, _u17963))) )).
% 20.36/20.63 cnf(matrix-7404, plain, ( ( c_List_OremoveAll(_u17968, _u17969) = c_List_Ofilter(_u17968, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u17968), c_fNot), hAPP(c_fequal, _u17969)))) )).
% 20.36/20.63 cnf(matrix-7405, plain, ( ( c_List_Oremdups(_u17970, hAPP(c_List_Ofilter(_u17970, _u17971), _u17972)) = hAPP(c_List_Ofilter(_u17970, _u17971), c_List_Oremdups(_u17970, _u17972))) )).
% 20.36/20.63 cnf(matrix-7406, plain, ( hBOOL(hAPP(_u17973, _u17974)) | ( hAPP(c_List_OremoveAll(_u17975, _u17974), hAPP(c_List_Ofilter(_u17975, _u17973), _u17976)) = hAPP(c_List_Ofilter(_u17975, _u17973), _u17976)) )).
% 20.36/20.63 cnf(matrix-7407, plain, ( ( hAPP(c_Product__Type_Osnd(tc_List_Olist(_u17977), tc_List_Olist(_u17977)), c_List_Opartition(_u17977, _u17978, _u17979)) = hAPP(c_List_Ofilter(_u17977, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u17977, c_fNot), _u17978)), _u17979)) )).
% 20.36/20.63 cnf(matrix-7408, plain, ( ( c_List_Otranspose(_u17980, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17980)), c_List_Olist_ONil(_u17980)), _u17981)) = c_List_Otranspose(_u17980, _u17981)) )).
% 20.36/20.63 cnf(matrix-7409, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17982), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17983))), c_List_Otranspose(_u17983, _u17984)))) | ( hAPP(hAPP(c_List_Onth(tc_List_Olist(_u17983)), c_List_Otranspose(_u17983, _u17984)), _u17982) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17983), _u17983), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17983), tc_Nat_Onat, _u17983), c_List_Onth(_u17983)), _u17982)), hAPP(c_List_Ofilter(tc_List_Olist(_u17983), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17983)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17982)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17983)))), _u17984))) )).
% 20.36/20.63 cnf(matrix-7410, plain, ( ( c_List_Otranspose(_u17985, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17986), tc_List_Olist(_u17985)), hAPP(c_List_Omap(_u17986, _u17985), _u17987)), _u17988)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17986), tc_List_Olist(_u17985)), hAPP(c_List_Omap(_u17986, _u17985), _u17987)), c_List_Otranspose(_u17986, _u17988))) )).
% 20.36/20.63 cnf(matrix-7411, plain, ( ( hAPP(c_List_Oset(_u17989), hAPP(c_List_Ofilter(_u17989, _u17990), _u17991)) = hAPP(c_Set_OCollect(_u17989), hAPP(hAPP(c_COMBS(_u17989, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17989), c_fconj), hAPP(hAPP(c_COMBC(_u17989, tc_fun(_u17989, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17989)), hAPP(c_List_Oset(_u17989), _u17991)))), _u17990))) )).
% 20.36/20.63 cnf(matrix-7412, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17992)), hAPP(c_List_Ofilter(_u17992, _u17993), hAPP(hAPP(c_List_Omap(_u17994, _u17992), _u17995), _u17996))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17994)), hAPP(c_List_Ofilter(_u17994, hAPP(c_Fun_Ocomp(_u17992, tc_HOL_Obool, _u17994, _u17993), _u17995)), _u17996))) )).
% 20.36/20.63 cnf(matrix-7413, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17997), _u17998), hAPP(c_List_Oset(_u17997), _u17999))) | hBOOL(hAPP(_u18000, _u17998)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17997)), hAPP(c_List_Ofilter(_u17997, _u18000), _u17999))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17997)), _u17999))) )).
% 20.36/20.63 cnf(matrix-7414, plain, ( ( c_List_Opartition(_u18001, _u18002, _u18003) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18001), tc_List_Olist(_u18001)), hAPP(c_List_Ofilter(_u18001, _u18002), _u18003)), hAPP(c_List_Ofilter(_u18001, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u18001, c_fNot), _u18002)), _u18003))) )).
% 20.36/20.63 cnf(matrix-7415, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18004, tc_HOL_Obool)), hAPP(c_List_Oset(_u18004), _u18005)), hAPP(hAPP(c_Set_Oinsert(_u18004), _u18006), c_Orderings_Obot__class_Obot(tc_fun(_u18004, tc_HOL_Obool)))) = hAPP(c_List_Oset(_u18004), hAPP(c_List_Ofilter(_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))) )).
% 20.36/20.63 cnf(matrix-7416, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18007), _u18008)) | ( hAPP(c_List_Ofilter(_u18007, hAPP(hAPP(c_COMBC(_u18007, tc_fun(_u18007, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18007)), hAPP(c_List_Oset(_u18007), c_List_Osublist(_u18007, _u18008, _u18009)))), _u18008) = c_List_Osublist(_u18007, _u18008, _u18009)) )).
% 20.36/20.63 cnf(matrix-7417, plain, ( ( c_List_Otranspose(_u18014, _u18016) != c_List_Olist_ONil(tc_List_Olist(_u18014))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18014)), _u18010), hAPP(c_List_Oset(tc_List_Olist(_u18014)), _u18016))) | ( _u18010 = c_List_Olist_ONil(_u18014)) )).
% 20.36/20.63 cnf(matrix-7418, plain, ( ( c_List_Otranspose(_u18015, _u18017) = c_List_Olist_ONil(tc_List_Olist(_u18015))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18015)), skolem451(_u18017, _u18015)), hAPP(c_List_Oset(tc_List_Olist(_u18015)), _u18017))) )).
% 20.36/20.63 cnf(matrix-7419, plain, ( ( c_List_Otranspose(_u18015, _u18017) = c_List_Olist_ONil(tc_List_Olist(_u18015))) | ( skolem451(_u18017, _u18015) != c_List_Olist_ONil(_u18015)) )).
% 20.36/20.63 cnf(matrix-7420, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18018)), hAPP(c_List_Ofilter(_u18018, _u18019), _u18020)) = 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(_u18018)), _u18020)))), hAPP(hAPP(c_COMBB(_u18018, tc_HOL_Obool, tc_Nat_Onat), _u18019), hAPP(c_List_Onth(_u18018), _u18020)))))) )).
% 20.36/20.63 cnf(matrix-7421, plain, ( ( c_List_Oconcat(tc_List_Olist(_u18021), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18021), tc_List_Olist(tc_List_Olist(_u18021))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u18021)), _u18021, c_List_Olist_ONil(tc_List_Olist(_u18021)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u18021), tc_List_Olist(tc_List_Olist(_u18021))), _u18021), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18021), tc_List_Olist(tc_List_Olist(_u18021)), tc_List_Olist(tc_List_Olist(_u18021))), c_List_Olist_OCons(tc_List_Olist(_u18021))), c_List_Olist_ONil(tc_List_Olist(_u18021)))))), _u18022)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18021), tc_List_Olist(_u18021)), c_List_Otl(_u18021)), hAPP(c_List_Ofilter(tc_List_Olist(_u18021), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18021)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18021), tc_List_Olist(_u18021), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u18021)))), _u18022))) )).
% 20.36/20.63 cnf(matrix-7422, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u18023)), c_List_Otranspose__rel(_u18023)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18023)), hAPP(hAPP(c_List_Olist_OCons(_u18023), _u18024), _u18025)), _u18026))) | ( c_List_Otranspose(_u18023, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18023)), hAPP(hAPP(c_List_Olist_OCons(_u18023), _u18024), _u18025)), _u18026)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18023)), hAPP(hAPP(c_List_Olist_OCons(_u18023), _u18024), c_List_Oconcat(_u18023, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18023), tc_List_Olist(_u18023)), c_List_Olist_Olist__case(tc_List_Olist(_u18023), _u18023, c_List_Olist_ONil(_u18023), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18023), tc_fun(tc_List_Olist(_u18023), tc_List_Olist(_u18023)), _u18023), c_COMBK(tc_List_Olist(_u18023), tc_List_Olist(_u18023))), hAPP(hAPP(c_COMBC(_u18023, tc_List_Olist(_u18023), tc_List_Olist(_u18023)), c_List_Olist_OCons(_u18023)), c_List_Olist_ONil(_u18023))))), _u18026)))), c_List_Otranspose(_u18023, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18023)), _u18025), c_List_Oconcat(tc_List_Olist(_u18023), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18023), tc_List_Olist(tc_List_Olist(_u18023))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u18023)), _u18023, c_List_Olist_ONil(tc_List_Olist(_u18023)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u18023), tc_List_Olist(tc_List_Olist(_u18023))), _u18023), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18023), tc_List_Olist(tc_List_Olist(_u18023)), tc_List_Olist(tc_List_Olist(_u18023))), c_List_Olist_OCons(tc_List_Olist(_u18023))), c_List_Olist_ONil(tc_List_Olist(_u18023)))))), _u18026)))))) )).
% 20.36/20.63 cnf(matrix-7423, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u18027)), c_List_Otranspose__rel(_u18027)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18027)), c_List_Olist_ONil(_u18027)), _u18028))) | ( c_List_Otranspose(_u18027, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18027)), c_List_Olist_ONil(_u18027)), _u18028)) = c_List_Otranspose(_u18027, _u18028)) )).
% 20.36/20.63 cnf(matrix-7424, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u18029, tc_Nat_Onat), _u18029), c_Product__Type_Ofst(_u18029, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18029, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u18029, tc_Nat_Onat)), _u18030), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_prod(_u18029, tc_Nat_Onat)), c_Nat_OSuc), c_Product__Type_Osnd(_u18029, tc_Nat_Onat)))), hAPP(hAPP(c_List_Ozip(_u18029, tc_Nat_Onat), _u18031), _u18032))) = hAPP(hAPP(c_List_Omap(tc_prod(_u18029, tc_Nat_Onat), _u18029), c_Product__Type_Ofst(_u18029, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18029, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u18029, tc_Nat_Onat)), _u18030), c_Product__Type_Osnd(_u18029, tc_Nat_Onat))), hAPP(hAPP(c_List_Ozip(_u18029, tc_Nat_Onat), _u18031), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), _u18032))))) )).
% 20.36/20.63 cnf(matrix-7425, plain, ( ( c_Random_Oselect__weight(_u18033, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18033), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u18033, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u18033, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u18033)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u18034)) = c_Random_Oselect__weight(_u18033, _u18034)) )).
% 20.36/20.63 cnf(matrix-7426, plain, ( ( c_Random_Opick(_u18035, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18035), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u18035, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u18035, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u18035)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u18036)) = c_Random_Opick(_u18035, _u18036)) )).
% 20.36/20.63 cnf(matrix-7427, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u18037)), c_List_Otranspose__rel(_u18037)), c_List_Olist_ONil(tc_List_Olist(_u18037)))) | ( c_List_Otranspose(_u18037, c_List_Olist_ONil(tc_List_Olist(_u18037))) = c_List_Olist_ONil(tc_List_Olist(_u18037))) )).
% 20.36/20.63 cnf(matrix-7428, plain, ( ( c_List_Ofoldr(tc_List_Olist(_u18038), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u18038)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18038))), c_List_Otranspose(_u18038, _u18039), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18038))), hAPP(c_List_Ofilter(tc_List_Olist(_u18038), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18038)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18038), tc_List_Olist(_u18038), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u18038)))), _u18039))) )).
% 20.36/20.63 cnf(matrix-7429, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18040)), _u18041))), c_List_Ofoldr(tc_List_Olist(_u18042), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u18042)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18042))), _u18043, 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(_u18040)), _u18041)), c_List_Ofoldr(tc_List_Olist(_u18042), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u18042)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18042), tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u18042)), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18042)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_List_Ofilter(tc_List_Olist(_u18042), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18042)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18042), tc_List_Olist(_u18042), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u18042)))), _u18043), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 20.36/20.63 cnf(matrix-7430, plain, ( ( c_List_Ofoldr(_u18044, _u18045, _u18046, c_List_Olist_ONil(_u18044), _u18047) = _u18047) )).
% 20.36/20.63 cnf(matrix-7431, plain, ( ( c_List_Ofoldr(_u18048, _u18049, _u18050, hAPP(hAPP(c_List_Olist_OCons(_u18048), _u18051), _u18052), _u18053) = hAPP(hAPP(_u18050, _u18051), c_List_Ofoldr(_u18048, _u18049, _u18050, _u18052, _u18053))) )).
% 20.36/20.63 cnf(matrix-7432, plain, ( ( c_List_Ofoldr(_u18054, _u18055, _u18056, hAPP(hAPP(c_List_Oappend(_u18054), _u18057), _u18058), _u18059) = c_List_Ofoldr(_u18054, _u18055, _u18056, _u18057, c_List_Ofoldr(_u18054, _u18055, _u18056, _u18058, _u18059))) )).
% 20.36/20.63 cnf(matrix-7433, plain, ( ~class_Groups_Oab__semigroup__add(_u18060) | ( c_List_Ofoldr(_u18060, _u18060, c_Groups_Oplus__class_Oplus(_u18060), _u18061, _u18062) = hAPP(c_List_Ofoldl(_u18060, _u18060, c_Groups_Oplus__class_Oplus(_u18060), _u18062), _u18061)) )).
% 20.36/20.63 cnf(matrix-7434, plain, ( ( c_List_Ofoldr(_u18063, _u18064, _u18065, hAPP(hAPP(c_List_Omap(_u18066, _u18063), _u18067), _u18068), _u18069) = c_List_Ofoldr(_u18066, _u18064, hAPP(c_Fun_Ocomp(_u18063, tc_fun(_u18064, _u18064), _u18066, _u18065), _u18067), _u18068, _u18069)) )).
% 20.36/20.63 cnf(matrix-7435, plain, ( ~class_Groups_Omonoid__add(_u18070) | ( hAPP(c_List_Ofoldl(_u18070, _u18070, c_Groups_Oplus__class_Oplus(_u18070), c_Groups_Ozero__class_Ozero(_u18070)), _u18071) = c_List_Ofoldr(_u18070, _u18070, c_Groups_Oplus__class_Oplus(_u18070), _u18071, c_Groups_Ozero__class_Ozero(_u18070))) )).
% 20.36/20.63 cnf(matrix-7436, plain, ( ~class_Groups_Omonoid__add(_u18072) | ( hAPP(c_List_Ofoldl(_u18072, _u18072, c_Groups_Oplus__class_Oplus(_u18072), _u18073), _u18074) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u18072), _u18073), c_List_Ofoldr(_u18072, _u18072, c_Groups_Oplus__class_Oplus(_u18072), _u18074, c_Groups_Ozero__class_Ozero(_u18072)))) )).
% 20.36/20.63 cnf(matrix-7437, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18075))), c_List_Otranspose(_u18075, _u18076)) = c_List_Ofoldr(tc_List_Olist(_u18075), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u18075)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18075))), _u18076, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 20.36/20.63 cnf(matrix-7438, plain, ( ( c_List_Osublist(_u18077, _u18078, _u18079) = hAPP(hAPP(c_List_Omap(tc_prod(_u18077, tc_Nat_Onat), _u18077), c_Product__Type_Ofst(_u18077, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18077, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u18077, 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(_u18077, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u18077, tc_Nat_Onat))), _u18079)), hAPP(hAPP(c_List_Ozip(_u18077, tc_Nat_Onat), _u18078), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18077)), _u18078)))))) )).
% 20.36/20.63 cnf(matrix-7439, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u18080, tc_Nat_Onat), _u18080), c_Product__Type_Ofst(_u18080, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18080, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u18080, 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(_u18080, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u18080, tc_Nat_Onat))), _u18081)), hAPP(hAPP(c_List_Ozip(_u18080, tc_Nat_Onat), _u18082), c_List_Oupt(_u18083, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18083), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18080)), _u18082)))))) = hAPP(hAPP(c_List_Omap(tc_prod(_u18080, tc_Nat_Onat), _u18080), c_Product__Type_Ofst(_u18080, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18080, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u18080, 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(_u18080, tc_Nat_Onat)), c_member(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u18080, 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(_u18080, tc_Nat_Onat)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Product__Type_Osnd(_u18080, tc_Nat_Onat))), _u18083))), _u18081)), hAPP(hAPP(c_List_Ozip(_u18080, tc_Nat_Onat), _u18082), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18080)), _u18082)))))) )).
% 20.36/20.63 cnf(matrix-7440, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u18084), _u18085) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18084, _u18085))) )).
% 20.36/20.63 cnf(matrix-7441, plain, ( ( hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18086, _u18087)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u18086), _u18087)) )).
% 20.36/20.63 cnf(matrix-7442, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18090), _u18092)) | ( c_List_Oupt(_u18090, hAPP(c_Nat_OSuc, _u18092)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u18090, _u18092)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18092), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 20.36/20.63 cnf(matrix-7443, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18091), _u18093)) | ( c_List_Oupt(_u18091, hAPP(c_Nat_OSuc, _u18093)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 20.36/20.63 cnf(matrix-7444, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18094), _u18095)) | ( c_List_Oupt(_u18094, hAPP(c_Nat_OSuc, _u18095)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u18094, _u18095)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18095), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 20.36/20.63 cnf(matrix-7445, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18096), _u18097)) | ( c_List_Oupt(_u18096, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18097), _u18098)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u18096, _u18097)), c_List_Oupt(_u18097, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18097), _u18098)))) )).
% 20.36/20.63 cnf(matrix-7446, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18101), _u18103)) | ( c_List_Oupt(_u18101, _u18103) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18101), c_List_Oupt(hAPP(c_Nat_OSuc, _u18101), _u18103))) )).
% 20.36/20.63 cnf(matrix-7447, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18102), _u18104)) | ( c_List_Oupt(_u18102, _u18104) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 20.36/20.63 cnf(matrix-7448, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18105), _u18106)) | ( c_List_Oupt(_u18105, _u18106) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18105), c_List_Oupt(hAPP(c_Nat_OSuc, _u18105), _u18106))) )).
% 20.36/20.63 cnf(matrix-7449, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18107), _u18108)) | ( c_List_Oupt(_u18108, _u18107) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 20.36/20.63 cnf(matrix-7450, plain, ( ( c_List_Oupt(_u18111, _u18113) != c_List_Olist_ONil(tc_Nat_Onat)) | ( _u18113 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18113), _u18111)) )).
% 20.36/20.63 cnf(matrix-7451, plain, ( ( c_List_Oupt(_u18112, _u18114) = c_List_Olist_ONil(tc_Nat_Onat)) | ( _u18114 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.63 cnf(matrix-7452, plain, ( ( c_List_Oupt(_u18112, _u18114) = c_List_Olist_ONil(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18114), _u18112)) )).
% 20.36/20.63 cnf(matrix-7453, plain, ( ( c_List_Oupt(_u18115, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 20.36/20.63 cnf(matrix-7454, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18116), _u18117)), _u18118)) | ( hAPP(hAPP(c_List_Otake(tc_Nat_Onat), _u18117), c_List_Oupt(_u18116, _u18118)) = c_List_Oupt(_u18116, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18116), _u18117))) )).
% 20.36/20.63 cnf(matrix-7455, plain, ( ( c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat, hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u18119), _u18120)) = c_List_Oupt(_u18119, _u18120)) )).
% 20.36/20.63 cnf(matrix-7456, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18121), _u18122)) | ( hAPP(c_List_Ohd(tc_Nat_Onat), c_List_Oupt(_u18121, _u18122)) = _u18121) )).
% 20.36/20.63 cnf(matrix-7457, plain, ( ( hAPP(hAPP(c_List_Odrop(tc_Nat_Onat), _u18123), c_List_Oupt(_u18124, _u18125)) = c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18124), _u18123), _u18125)) )).
% 20.36/20.63 cnf(matrix-7458, plain, ( hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat), c_List_Oupt(_u18126, _u18127))) )).
% 20.36/20.63 cnf(matrix-7459, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), c_List_Oupt(_u18128, _u18129)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18129), _u18128)) )).
% 20.36/20.63 cnf(matrix-7460, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18132)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18134))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18132), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18134)) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18132)), c_List_Oupt(hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18132)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18134)))) )).
% 20.36/20.63 cnf(matrix-7461, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18133)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18135))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18133), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18135)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 20.36/20.63 cnf(matrix-7462, plain, ( ( c_List_Oupt(_u18140, _u18142) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18144), _u18146)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18140), _u18142)) )).
% 20.36/20.63 cnf(matrix-7463, plain, ( ( c_List_Oupt(_u18140, _u18142) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18144), _u18146)) | ( _u18140 = _u18144) )).
% 20.36/20.63 cnf(matrix-7464, plain, ( ( c_List_Oupt(_u18140, _u18142) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18144), _u18146)) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18140), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u18142) = _u18146) )).
% 20.36/20.63 cnf(matrix-7465, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18141), _u18143)) | ( _u18141 != _u18145) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18141), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u18143) != _u18147) | ( c_List_Oupt(_u18141, _u18143) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18145), _u18147)) )).
% 20.36/20.63 cnf(matrix-7466, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18148), _u18149)) | ( c_List_Olast(tc_Nat_Onat, c_List_Oupt(_u18148, _u18149)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18149), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 20.36/20.63 cnf(matrix-7467, plain, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), c_List_Oupt(_u18150, _u18151)) = c_List_Oupt(hAPP(c_Nat_OSuc, _u18150), hAPP(c_Nat_OSuc, _u18151))) )).
% 20.36/20.63 cnf(matrix-7468, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u18152, _u18153) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18152, hAPP(c_Nat_OSuc, _u18153)))) )).
% 20.36/20.63 cnf(matrix-7469, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u18154) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18154))) )).
% 20.36/20.63 cnf(matrix-7470, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18155), _u18156)), _u18157)) | ( hAPP(hAPP(c_List_Onth(tc_Nat_Onat), c_List_Oupt(_u18155, _u18157)), _u18156) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18155), _u18156)) )).
% 20.36/20.63 cnf(matrix-7471, plain, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u18158, _u18159) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u18158), hAPP(c_Nat_OSuc, _u18159)))) )).
% 20.36/20.63 cnf(matrix-7472, plain, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u18160, _u18161) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u18160), _u18161))) )).
% 20.36/20.63 cnf(matrix-7473, plain, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u18162) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u18162)))) )).
% 20.36/20.63 cnf(matrix-7474, plain, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18163), hAPP(c_List_Onth(_u18163), _u18164)), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18163)), _u18164))) = _u18164) )).
% 20.36/20.63 cnf(matrix-7475, plain, ( ~class_Groups_Ocomm__monoid__add(_u18165) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18165), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18165), _u18166), c_List_Oupt(_u18167, _u18168))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u18165), _u18166), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18167, _u18168)))) )).
% 20.36/20.63 cnf(matrix-7476, plain, ( ~class_Groups_Ocomm__monoid__add(_u18169) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u18169), _u18170), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18171, _u18172))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18169), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18169), _u18170), c_List_Oupt(_u18171, _u18172)))) )).
% 20.36/20.63 cnf(matrix-7477, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18173), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18174), _u18175))) | ( hAPP(hAPP(c_List_Onth(_u18176), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18176), _u18177), c_List_Oupt(_u18175, _u18174))), _u18173) = hAPP(_u18177, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18175), _u18173))) )).
% 20.36/20.63 cnf(matrix-7478, plain, ( ( _u18179 = c_List_Olist_ONil(tc_List_Olist(_u18180))) | ( c_List_Otranspose(_u18180, _u18179) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18180)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18180)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18180), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18180)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18180)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18180), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18180), tc_fun(tc_Nat_Onat, _u18180), tc_Nat_Onat), c_List_Onth(_u18180)), hAPP(c_List_Onth(tc_List_Olist(_u18180)), _u18179))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18180))), _u18179)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18181))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem452(_u18181, _u18180, _u18179)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18180))), _u18179))) )).
% 20.36/20.63 cnf(matrix-7479, plain, ( ( _u18179 = c_List_Olist_ONil(tc_List_Olist(_u18180))) | ( c_List_Otranspose(_u18180, _u18179) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18180)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18180)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18180), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18180)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18180)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18180), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18180), tc_fun(tc_Nat_Onat, _u18180), tc_Nat_Onat), c_List_Onth(_u18180)), hAPP(c_List_Onth(tc_List_Olist(_u18180)), _u18179))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18180))), _u18179)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18181))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18180)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18180)), _u18179), skolem452(_u18181, _u18180, _u18179))) != _u18181) )).
% 20.36/20.63 cnf(matrix-7480, plain, ( ( _u18181 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u18180, _u18179) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18180)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18180)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18180), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18180)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18180)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18180), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18180), tc_fun(tc_Nat_Onat, _u18180), tc_Nat_Onat), c_List_Onth(_u18180)), hAPP(c_List_Onth(tc_List_Olist(_u18180)), _u18179))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18180))), _u18179)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18181))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem452(_u18181, _u18180, _u18179)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18180))), _u18179))) )).
% 20.36/20.63 cnf(matrix-7481, plain, ( ( _u18181 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u18180, _u18179) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18180)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18180)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18180), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18180)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18180)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18180), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18180), tc_fun(tc_Nat_Onat, _u18180), tc_Nat_Onat), c_List_Onth(_u18180)), hAPP(c_List_Onth(tc_List_Olist(_u18180)), _u18179))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18180))), _u18179)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18181))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18180)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18180)), _u18179), skolem452(_u18181, _u18180, _u18179))) != _u18181) )).
% 20.36/20.63 cnf(matrix-7482, plain, ( ~class_Orderings_Olinorder(_u18182) | ~hBOOL(hAPP(hAPP(c_member(_u18183), _u18184), hAPP(c_List_Oset(_u18183), _u18185))) | ~c_List_Olinorder__class_Osorted(_u18182, hAPP(hAPP(c_List_Omap(_u18183, _u18182), _u18186), _u18185)) | ( hAPP(c_List_Ohd(_u18183), hAPP(c_List_Ofilter(_u18183, hAPP(hAPP(c_COMBB(_u18182, tc_HOL_Obool, _u18183), hAPP(c_fequal, hAPP(_u18186, _u18184))), _u18186)), _u18185)) != _u18184) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18183, _u18182, _u18186), _u18184), c_List_Oremove1(_u18183, _u18184, _u18185)) = _u18185) )).
% 20.36/20.63 cnf(matrix-7483, plain, ( ~class_Orderings_Olinorder(_u18187) | c_List_Olinorder__class_Osorted(_u18187, c_List_Olist_ONil(_u18187)) )).
% 20.36/20.63 cnf(matrix-7484, plain, ( ~class_Orderings_Olinorder(_u18188) | c_List_Olinorder__class_Osorted(_u18188, hAPP(hAPP(c_List_Olist_OCons(_u18188), _u18189), c_List_Olist_ONil(_u18188))) )).
% 20.36/20.63 cnf(matrix-7485, plain, ( c_List_Olinorder__class_Osorted(tc_Nat_Onat, c_List_Oupt(_u18190, _u18191)) )).
% 20.36/20.63 cnf(matrix-7486, plain, ( ~class_Orderings_Olinorder(_u18192) | c_List_Olinorder__class_Osorted(_u18192, c_List_Olinorder__class_Osort__key(_u18192, _u18192, c_COMBI(_u18192), _u18193)) )).
% 20.36/20.63 cnf(matrix-7487, plain, ( ~class_Orderings_Olinorder(_u18194) | ~c_List_Olinorder__class_Osorted(_u18194, _u18195) | c_List_Olinorder__class_Osorted(_u18194, c_List_Olinorder__class_Oinsort__insert__key(_u18194, _u18194, c_COMBI(_u18194), _u18196, _u18195)) )).
% 20.36/20.63 cnf(matrix-7488, plain, ( ~class_Orderings_Olinorder(_u18197) | ~c_List_Olinorder__class_Osorted(_u18197, _u18198) | c_List_Olinorder__class_Osorted(_u18197, hAPP(hAPP(c_List_Odrop(_u18197), _u18199), _u18198)) )).
% 20.36/20.63 cnf(matrix-7489, plain, ( c_List_Olinorder__class_Osorted(tc_Int_Oint, c_List_Oupto(_u18200, _u18201)) )).
% 20.36/20.63 cnf(matrix-7490, plain, ( ~class_Orderings_Olinorder(_u18202) | ~c_List_Olinorder__class_Osorted(_u18202, _u18203) | c_List_Olinorder__class_Osorted(_u18202, hAPP(hAPP(c_List_Otake(_u18202), _u18204), _u18203)) )).
% 20.36/20.63 cnf(matrix-7491, plain, ( ~class_Orderings_Olinorder(_u18205) | ~c_List_Olinorder__class_Osorted(_u18205, _u18206) | c_List_Olinorder__class_Osorted(_u18205, c_List_Oremove1(_u18205, _u18207, _u18206)) )).
% 20.36/20.63 cnf(matrix-7492, plain, ( ~class_Orderings_Olinorder(_u18208) | ~c_List_Olinorder__class_Osorted(_u18208, _u18209) | c_List_Olinorder__class_Osorted(_u18208, hAPP(c_List_Otl(_u18208), _u18209)) )).
% 20.36/20.63 cnf(matrix-7493, plain, ( ~class_Orderings_Olinorder(_u18210) | ~c_List_Olinorder__class_Osorted(_u18210, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18210, _u18210, c_COMBI(_u18210)), _u18211), _u18212)) | c_List_Olinorder__class_Osorted(_u18210, _u18212) )).
% 20.36/20.63 cnf(matrix-7494, plain, ( ~class_Orderings_Olinorder(_u18210) | ~c_List_Olinorder__class_Osorted(_u18210, _u18212) | c_List_Olinorder__class_Osorted(_u18210, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18210, _u18210, c_COMBI(_u18210)), _u18211), _u18212)) )).
% 20.36/20.63 cnf(matrix-7495, plain, ( ~class_Orderings_Olinorder(_u18213) | ( _u18214 = c_List_Olist_ONil(_u18213)) | ~c_List_Olinorder__class_Osorted(_u18213, _u18214) | c_List_Olinorder__class_Osorted(_u18213, c_List_Obutlast(_u18213, _u18214)) )).
% 20.36/20.63 cnf(matrix-7496, plain, ( ~class_Orderings_Olinorder(_u18215) | c_List_Olinorder__class_Osorted(_u18215, c_List_Olist_ONil(_u18215)) )).
% 20.36/20.63 cnf(matrix-7497, plain, ( ~class_Orderings_Olinorder(_u18216) | ~c_List_Olinorder__class_Osorted(_u18216, hAPP(hAPP(c_List_Olist_OCons(_u18216), _u18217), hAPP(hAPP(c_List_Olist_OCons(_u18216), _u18218), _u18219))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18216), _u18217), _u18218)) )).
% 20.36/20.63 cnf(matrix-7498, plain, ( ~class_Orderings_Olinorder(_u18216) | ~c_List_Olinorder__class_Osorted(_u18216, hAPP(hAPP(c_List_Olist_OCons(_u18216), _u18217), hAPP(hAPP(c_List_Olist_OCons(_u18216), _u18218), _u18219))) | c_List_Olinorder__class_Osorted(_u18216, hAPP(hAPP(c_List_Olist_OCons(_u18216), _u18218), _u18219)) )).
% 20.36/20.63 cnf(matrix-7499, plain, ( ~class_Orderings_Olinorder(_u18216) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18216), _u18217), _u18218)) | ~c_List_Olinorder__class_Osorted(_u18216, hAPP(hAPP(c_List_Olist_OCons(_u18216), _u18218), _u18219)) | c_List_Olinorder__class_Osorted(_u18216, hAPP(hAPP(c_List_Olist_OCons(_u18216), _u18217), hAPP(hAPP(c_List_Olist_OCons(_u18216), _u18218), _u18219))) )).
% 20.36/20.63 cnf(matrix-7500, plain, ( ~class_Orderings_Olinorder(_u18220) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18220), _u18221), _u18222)) | ~c_List_Olinorder__class_Osorted(_u18220, hAPP(hAPP(c_List_Olist_OCons(_u18220), _u18222), _u18223)) | c_List_Olinorder__class_Osorted(_u18220, hAPP(hAPP(c_List_Olist_OCons(_u18220), _u18221), hAPP(hAPP(c_List_Olist_OCons(_u18220), _u18222), _u18223))) )).
% 20.36/20.63 cnf(matrix-7501, plain, ( ~class_Orderings_Olinorder(_u18224) | ~c_List_Olinorder__class_Osorted(_u18224, _u18225) | c_List_Olinorder__class_Osorted(_u18224, c_List_Oremdups(_u18224, _u18225)) )).
% 20.36/20.63 cnf(matrix-7502, plain, ( ~class_Orderings_Olinorder(_u18226) | ~c_List_Olinorder__class_Osorted(_u18226, _u18227) | ~hBOOL(hAPP(c_List_Odistinct(_u18226), _u18227)) | ~c_List_Olinorder__class_Osorted(_u18226, _u18228) | ~hBOOL(hAPP(c_List_Odistinct(_u18226), _u18228)) | ( hAPP(c_List_Oset(_u18226), _u18227) != hAPP(c_List_Oset(_u18226), _u18228)) | ( _u18227 = _u18228) )).
% 20.36/20.63 cnf(matrix-7503, plain, ( ~class_Orderings_Olinorder(_u18229) | c_List_Olinorder__class_Osorted(_u18229, hAPP(hAPP(c_List_Omap(_u18230, _u18229), _u18231), c_List_Olinorder__class_Osort__key(_u18230, _u18229, _u18231, _u18232))) )).
% 20.36/20.63 cnf(matrix-7504, plain, ( ~class_Orderings_Olinorder(_u18233) | ~c_List_Olinorder__class_Osorted(_u18233, hAPP(hAPP(c_List_Omap(_u18234, _u18233), _u18235), _u18236)) | c_List_Olinorder__class_Osorted(_u18233, hAPP(hAPP(c_List_Omap(_u18234, _u18233), _u18235), c_List_Olinorder__class_Oinsort__insert__key(_u18234, _u18233, _u18235, _u18237, _u18236))) )).
% 20.36/20.63 cnf(matrix-7505, plain, ( ~class_Orderings_Olinorder(_u18238) | ~c_List_Olinorder__class_Osorted(_u18238, hAPP(hAPP(c_List_Omap(_u18239, _u18238), _u18240), _u18241)) | c_List_Olinorder__class_Osorted(_u18238, hAPP(hAPP(c_List_Omap(_u18239, _u18238), _u18240), c_List_Oremove1(_u18239, _u18242, _u18241))) )).
% 20.36/20.63 cnf(matrix-7506, plain, ( ~class_Orderings_Olinorder(_u18243) | ~c_List_Olinorder__class_Osorted(_u18243, hAPP(hAPP(c_List_Omap(_u18244, _u18243), _u18245), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18244, _u18243, _u18245), _u18246), _u18247))) | c_List_Olinorder__class_Osorted(_u18243, hAPP(hAPP(c_List_Omap(_u18244, _u18243), _u18245), _u18247)) )).
% 20.36/20.63 cnf(matrix-7507, plain, ( ~class_Orderings_Olinorder(_u18243) | ~c_List_Olinorder__class_Osorted(_u18243, hAPP(hAPP(c_List_Omap(_u18244, _u18243), _u18245), _u18247)) | c_List_Olinorder__class_Osorted(_u18243, hAPP(hAPP(c_List_Omap(_u18244, _u18243), _u18245), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18244, _u18243, _u18245), _u18246), _u18247))) )).
% 20.36/20.63 cnf(matrix-7508, plain, ( ~class_Orderings_Olinorder(_u18248) | c_List_Olinorder__class_Osorted(_u18248, hAPP(hAPP(c_List_Omap(_u18249, _u18248), _u18250), hAPP(c_List_Ofilter(_u18249, hAPP(hAPP(c_COMBC(_u18249, _u18248, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18248, tc_fun(_u18248, tc_HOL_Obool), _u18249), c_fequal), _u18250)), hAPP(_u18251, _u18252))), _u18252))) )).
% 20.36/20.63 cnf(matrix-7509, plain, ( ~class_Orderings_Olinorder(_u18253) | ~c_List_Olinorder__class_Osorted(_u18253, hAPP(hAPP(c_List_Omap(_u18254, _u18253), _u18255), _u18256)) | c_List_Olinorder__class_Osorted(_u18253, hAPP(hAPP(c_List_Omap(_u18254, _u18253), _u18255), hAPP(c_List_Ofilter(_u18254, _u18257), _u18256))) )).
% 20.36/20.63 cnf(matrix-7510, plain, ( ~class_Orderings_Olinorder(_u18258) | c_List_Olinorder__class_Osorted(_u18258, hAPP(c_List_Ofilter(_u18258, hAPP(hAPP(c_COMBC(_u18258, _u18258, tc_HOL_Obool), c_fequal), hAPP(_u18259, _u18260))), _u18260)) )).
% 20.36/20.63 cnf(matrix-7511, plain, ( ~class_Orderings_Olinorder(_u18263) | ~c_List_Olinorder__class_Osorted(_u18263, hAPP(hAPP(c_List_Olist_OCons(_u18263), _u18264), _u18265)) | c_List_Olinorder__class_Osorted(_u18263, _u18265) )).
% 20.36/20.63 cnf(matrix-7512, plain, ( ~class_Orderings_Olinorder(_u18263) | ~c_List_Olinorder__class_Osorted(_u18263, hAPP(hAPP(c_List_Olist_OCons(_u18263), _u18264), _u18265)) | ~hBOOL(hAPP(hAPP(c_member(_u18263), _u18261), hAPP(c_List_Oset(_u18263), _u18265))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18263), _u18264), _u18261)) )).
% 20.36/20.63 cnf(matrix-7513, plain, ( ~class_Orderings_Olinorder(_u18263) | c_List_Olinorder__class_Osorted(_u18263, hAPP(hAPP(c_List_Olist_OCons(_u18263), _u18264), _u18265)) | ~c_List_Olinorder__class_Osorted(_u18263, _u18265) | hBOOL(hAPP(hAPP(c_member(_u18263), skolem453(_u18265, _u18264, _u18263)), hAPP(c_List_Oset(_u18263), _u18265))) )).
% 20.36/20.63 cnf(matrix-7514, plain, ( ~class_Orderings_Olinorder(_u18263) | c_List_Olinorder__class_Osorted(_u18263, hAPP(hAPP(c_List_Olist_OCons(_u18263), _u18264), _u18265)) | ~c_List_Olinorder__class_Osorted(_u18263, _u18265) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18263), _u18264), skolem453(_u18265, _u18264, _u18263))) )).
% 20.36/20.63 cnf(matrix-7515, plain, ( ~class_Orderings_Olinorder(_u18270) | ~c_List_Olinorder__class_Osorted(_u18270, hAPP(hAPP(c_List_Oappend(_u18270), _u18271), _u18272)) | c_List_Olinorder__class_Osorted(_u18270, _u18271) )).
% 20.36/20.63 cnf(matrix-7516, plain, ( ~class_Orderings_Olinorder(_u18270) | ~c_List_Olinorder__class_Osorted(_u18270, hAPP(hAPP(c_List_Oappend(_u18270), _u18271), _u18272)) | c_List_Olinorder__class_Osorted(_u18270, _u18272) )).
% 20.36/20.63 cnf(matrix-7517, plain, ( ~class_Orderings_Olinorder(_u18270) | ~c_List_Olinorder__class_Osorted(_u18270, hAPP(hAPP(c_List_Oappend(_u18270), _u18271), _u18272)) | ~hBOOL(hAPP(hAPP(c_member(_u18270), _u18267), hAPP(c_List_Oset(_u18270), _u18271))) | ~hBOOL(hAPP(hAPP(c_member(_u18270), _u18266), hAPP(c_List_Oset(_u18270), _u18272))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18270), _u18267), _u18266)) )).
% 20.36/20.63 cnf(matrix-7518, plain, ( ~class_Orderings_Olinorder(_u18270) | c_List_Olinorder__class_Osorted(_u18270, hAPP(hAPP(c_List_Oappend(_u18270), _u18271), _u18272)) | ~c_List_Olinorder__class_Osorted(_u18270, _u18271) | ~c_List_Olinorder__class_Osorted(_u18270, _u18272) | hBOOL(hAPP(hAPP(c_member(_u18270), skolem454(_u18272, _u18271, _u18270)), hAPP(c_List_Oset(_u18270), _u18271))) )).
% 20.36/20.63 cnf(matrix-7519, plain, ( ~class_Orderings_Olinorder(_u18270) | c_List_Olinorder__class_Osorted(_u18270, hAPP(hAPP(c_List_Oappend(_u18270), _u18271), _u18272)) | ~c_List_Olinorder__class_Osorted(_u18270, _u18271) | ~c_List_Olinorder__class_Osorted(_u18270, _u18272) | hBOOL(hAPP(hAPP(c_member(_u18270), skolem455(_u18272, _u18271, _u18270)), hAPP(c_List_Oset(_u18270), _u18272))) )).
% 20.36/20.63 cnf(matrix-7520, plain, ( ~class_Orderings_Olinorder(_u18270) | c_List_Olinorder__class_Osorted(_u18270, hAPP(hAPP(c_List_Oappend(_u18270), _u18271), _u18272)) | ~c_List_Olinorder__class_Osorted(_u18270, _u18271) | ~c_List_Olinorder__class_Osorted(_u18270, _u18272) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18270), skolem454(_u18272, _u18271, _u18270)), skolem455(_u18272, _u18271, _u18270))) )).
% 20.36/20.63 cnf(matrix-7521, plain, ( ~class_Orderings_Olinorder(_u18273) | ~c_List_Olinorder__class_Osorted(_u18273, hAPP(hAPP(c_List_Omap(_u18274, _u18273), _u18275), _u18276)) | ~hBOOL(hAPP(_u18277, _u18278)) | ( hAPP(c_List_Ofilter(_u18274, _u18277), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18274, _u18273, _u18275), _u18278), _u18276)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18274, _u18273, _u18275), _u18278), hAPP(c_List_Ofilter(_u18274, _u18277), _u18276))) )).
% 20.36/20.63 cnf(matrix-7522, plain, ( ~class_Orderings_Olinorder(_u18281) | ~c_List_Olinorder__class_Osorted(_u18281, hAPP(hAPP(c_List_Olist_OCons(_u18281), _u18282), _u18283)) | ~hBOOL(hAPP(hAPP(c_member(_u18281), _u18279), hAPP(c_List_Oset(_u18281), _u18283))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18281), _u18282), _u18279)) )).
% 20.36/20.63 cnf(matrix-7523, plain, ( ~class_Orderings_Olinorder(_u18281) | ~c_List_Olinorder__class_Osorted(_u18281, hAPP(hAPP(c_List_Olist_OCons(_u18281), _u18282), _u18283)) | c_List_Olinorder__class_Osorted(_u18281, _u18283) )).
% 20.36/20.63 cnf(matrix-7524, plain, ( ~class_Orderings_Olinorder(_u18281) | c_List_Olinorder__class_Osorted(_u18281, hAPP(hAPP(c_List_Olist_OCons(_u18281), _u18282), _u18283)) | ~c_List_Olinorder__class_Osorted(_u18281, _u18283) | hBOOL(hAPP(hAPP(c_member(_u18281), skolem456(_u18283, _u18282, _u18281)), hAPP(c_List_Oset(_u18281), _u18283))) )).
% 20.36/20.63 cnf(matrix-7525, plain, ( ~class_Orderings_Olinorder(_u18281) | c_List_Olinorder__class_Osorted(_u18281, hAPP(hAPP(c_List_Olist_OCons(_u18281), _u18282), _u18283)) | ~c_List_Olinorder__class_Osorted(_u18281, _u18283) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18281), _u18282), skolem456(_u18283, _u18282, _u18281))) )).
% 20.36/20.63 cnf(matrix-7526, plain, ( ~class_Orderings_Olinorder(_u18284) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18284), _u18285)) | ( hAPP(c_List_Oset(_u18284), c_List_Olinorder__class_Osorted__list__of__set(_u18284, _u18285)) = _u18285) )).
% 20.36/20.63 cnf(matrix-7527, plain, ( ~class_Orderings_Olinorder(_u18284) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18284), _u18285)) | c_List_Olinorder__class_Osorted(_u18284, c_List_Olinorder__class_Osorted__list__of__set(_u18284, _u18285)) )).
% 20.36/20.63 cnf(matrix-7528, plain, ( ~class_Orderings_Olinorder(_u18284) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18284), _u18285)) | hBOOL(hAPP(c_List_Odistinct(_u18284), c_List_Olinorder__class_Osorted__list__of__set(_u18284, _u18285))) )).
% 20.36/20.63 cnf(matrix-7529, plain, ( ~class_Orderings_Olinorder(_u18286) | ~hBOOL(hAPP(hAPP(c_member(_u18286), _u18287), hAPP(c_List_Oset(_u18286), _u18288))) | ~c_List_Olinorder__class_Osorted(_u18286, _u18288) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18286, _u18286, c_COMBI(_u18286)), _u18287), c_List_Oremove1(_u18286, _u18287, _u18288)) = _u18288) )).
% 20.36/20.63 cnf(matrix-7530, plain, ( ~class_Orderings_Olinorder(_u18289) | ~c_List_Olinorder__class_Osorted(_u18289, _u18290) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18291), _u18292)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18292), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18289)), _u18290))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18289), hAPP(hAPP(c_List_Onth(_u18289), _u18290), _u18291)), hAPP(hAPP(c_List_Onth(_u18289), _u18290), _u18292))) )).
% 20.36/20.63 cnf(matrix-7531, plain, ( ~class_Orderings_Olinorder(_u18297) | ~c_List_Olinorder__class_Osorted(_u18297, _u18298) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18294), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18297)), _u18298))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18293), _u18294)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18297), hAPP(hAPP(c_List_Onth(_u18297), _u18298), _u18293)), hAPP(hAPP(c_List_Onth(_u18297), _u18298), _u18294))) )).
% 20.36/20.63 cnf(matrix-7532, plain, ( ~class_Orderings_Olinorder(_u18297) | c_List_Olinorder__class_Osorted(_u18297, _u18298) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem457(_u18298, _u18297)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18297)), _u18298))) )).
% 20.36/20.63 cnf(matrix-7533, plain, ( ~class_Orderings_Olinorder(_u18297) | c_List_Olinorder__class_Osorted(_u18297, _u18298) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem458(_u18298, _u18297)), skolem457(_u18298, _u18297))) )).
% 20.36/20.63 cnf(matrix-7534, plain, ( ~class_Orderings_Olinorder(_u18297) | c_List_Olinorder__class_Osorted(_u18297, _u18298) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18297), hAPP(hAPP(c_List_Onth(_u18297), _u18298), skolem458(_u18298, _u18297))), hAPP(hAPP(c_List_Onth(_u18297), _u18298), skolem457(_u18298, _u18297)))) )).
% 20.36/20.63 cnf(matrix-7535, plain, ( ~class_Orderings_Olinorder(_u18299) | ~c_Fun_Oinj__on(_u18300, _u18299, _u18301, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18300, tc_HOL_Obool)), hAPP(c_List_Oset(_u18300), _u18302)), hAPP(c_List_Oset(_u18300), _u18303))) | ~c_List_Olinorder__class_Osorted(_u18299, hAPP(hAPP(c_List_Omap(_u18300, _u18299), _u18301), _u18302)) | ~hBOOL(hAPP(c_List_Odistinct(_u18299), hAPP(hAPP(c_List_Omap(_u18300, _u18299), _u18301), _u18302))) | ~c_List_Olinorder__class_Osorted(_u18299, hAPP(hAPP(c_List_Omap(_u18300, _u18299), _u18301), _u18303)) | ~hBOOL(hAPP(c_List_Odistinct(_u18299), hAPP(hAPP(c_List_Omap(_u18300, _u18299), _u18301), _u18303))) | ( hAPP(c_List_Oset(_u18300), _u18302) != hAPP(c_List_Oset(_u18300), _u18303)) | ( _u18302 = _u18303) )).
% 20.36/20.63 cnf(matrix-7536, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18304), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18304))), _u18305))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18306), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18304))), _u18305))) | ( hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18304), _u18304), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18304), tc_Nat_Onat, _u18304), c_List_Onth(_u18304)), _u18306)), hAPP(c_List_Ofilter(tc_List_Olist(_u18304), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18304)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18306)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18304)))), c_List_Otranspose(_u18304, _u18305))) = hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18304)), _u18305), _u18306)) )).
% 20.36/20.63 cnf(matrix-7537, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18307), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18307))), _u18308))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18309), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18307))), c_List_Otranspose(_u18307, _u18308)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18310), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18307))), hAPP(c_List_Ofilter(tc_List_Olist(_u18307), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18307)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18309)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18307)))), _u18308)))) | ( hAPP(hAPP(c_List_Onth(_u18307), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18307)), c_List_Otranspose(_u18307, _u18308)), _u18309)), _u18310) = hAPP(hAPP(c_List_Onth(_u18307), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18307)), _u18308), _u18310)), _u18309)) )).
% 20.36/20.63 cnf(matrix-7538, plain, ( c_Fun_Oinj__on(tc_List_Olist(_u18311), tc_List_Olist(_u18311), c_List_Orev(_u18311), _u18312) )).
% 20.36/20.63 cnf(matrix-7539, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18315), hAPP(c_List_Orev(_u18315), _u18317))) | hBOOL(hAPP(c_List_Odistinct(_u18315), _u18317)) )).
% 20.36/20.63 cnf(matrix-7540, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18316), _u18318)) | hBOOL(hAPP(c_List_Odistinct(_u18316), hAPP(c_List_Orev(_u18316), _u18318))) )).
% 20.36/20.63 cnf(matrix-7541, plain, ( ( hAPP(c_List_Orev(_u18321), _u18323) != c_List_Olist_ONil(_u18321)) | ( _u18323 = c_List_Olist_ONil(_u18321)) )).
% 20.36/20.63 cnf(matrix-7542, plain, ( ( _u18324 != c_List_Olist_ONil(_u18322)) | ( hAPP(c_List_Orev(_u18322), _u18324) = c_List_Olist_ONil(_u18322)) )).
% 20.36/20.63 cnf(matrix-7543, plain, ( ( c_List_Olist_ONil(_u18327) != hAPP(c_List_Orev(_u18327), _u18329)) | ( _u18329 = c_List_Olist_ONil(_u18327)) )).
% 20.36/20.63 cnf(matrix-7544, plain, ( ( _u18330 != c_List_Olist_ONil(_u18328)) | ( c_List_Olist_ONil(_u18328) = hAPP(c_List_Orev(_u18328), _u18330)) )).
% 20.36/20.63 cnf(matrix-7545, plain, ( ( hAPP(c_List_Orev(_u18331), c_List_Olist_ONil(_u18331)) = c_List_Olist_ONil(_u18331)) )).
% 20.36/20.63 cnf(matrix-7546, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18335), _u18337), c_List_Olist_ONil(_u18335)) != hAPP(c_List_Orev(_u18335), _u18339)) | ( _u18339 = hAPP(hAPP(c_List_Olist_OCons(_u18335), _u18337), c_List_Olist_ONil(_u18335))) )).
% 20.36/20.63 cnf(matrix-7547, plain, ( ( _u18340 != hAPP(hAPP(c_List_Olist_OCons(_u18336), _u18338), c_List_Olist_ONil(_u18336))) | ( hAPP(hAPP(c_List_Olist_OCons(_u18336), _u18338), c_List_Olist_ONil(_u18336)) = hAPP(c_List_Orev(_u18336), _u18340)) )).
% 20.36/20.63 cnf(matrix-7548, plain, ( ( hAPP(c_List_Orev(_u18344), _u18346) != hAPP(hAPP(c_List_Olist_OCons(_u18344), _u18348), c_List_Olist_ONil(_u18344))) | ( _u18346 = hAPP(hAPP(c_List_Olist_OCons(_u18344), _u18348), c_List_Olist_ONil(_u18344))) )).
% 20.36/20.63 cnf(matrix-7549, plain, ( ( _u18347 != hAPP(hAPP(c_List_Olist_OCons(_u18345), _u18349), c_List_Olist_ONil(_u18345))) | ( hAPP(c_List_Orev(_u18345), _u18347) = hAPP(hAPP(c_List_Olist_OCons(_u18345), _u18349), c_List_Olist_ONil(_u18345))) )).
% 20.36/20.63 cnf(matrix-7550, plain, ( ( hAPP(c_List_Orev(_u18350), hAPP(hAPP(c_List_Oappend(_u18350), _u18351), _u18352)) = hAPP(hAPP(c_List_Oappend(_u18350), hAPP(c_List_Orev(_u18350), _u18352)), hAPP(c_List_Orev(_u18350), _u18351))) )).
% 20.36/20.63 cnf(matrix-7551, plain, ( ( hAPP(c_List_Orev(_u18353), c_List_Oconcat(_u18353, _u18354)) = c_List_Oconcat(_u18353, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18353), tc_List_Olist(_u18353)), c_List_Orev(_u18353)), hAPP(c_List_Orev(tc_List_Olist(_u18353)), _u18354)))) )).
% 20.36/20.63 cnf(matrix-7552, plain, ( ( hAPP(c_List_Orev(_u18355), hAPP(hAPP(c_List_Omap(_u18356, _u18355), _u18357), _u18358)) = hAPP(hAPP(c_List_Omap(_u18356, _u18355), _u18357), hAPP(c_List_Orev(_u18356), _u18358))) )).
% 20.36/20.63 cnf(matrix-7553, plain, ( ( hAPP(c_List_Orev(_u18359), hAPP(c_List_Ofilter(_u18359, _u18360), _u18361)) = hAPP(c_List_Ofilter(_u18359, _u18360), hAPP(c_List_Orev(_u18359), _u18361))) )).
% 20.36/20.63 cnf(matrix-7554, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18362)), _u18363) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18364)), _u18365)) | ( hAPP(hAPP(c_List_Ozip(_u18362, _u18364), hAPP(c_List_Orev(_u18362), _u18363)), hAPP(c_List_Orev(_u18364), _u18365)) = hAPP(c_List_Orev(tc_prod(_u18362, _u18364)), hAPP(hAPP(c_List_Ozip(_u18362, _u18364), _u18363), _u18365))) )).
% 20.36/20.63 cnf(matrix-7555, plain, ( ( hAPP(c_List_Oset(_u18366), hAPP(c_List_Orev(_u18366), _u18367)) = hAPP(c_List_Oset(_u18366), _u18367)) )).
% 20.36/20.63 cnf(matrix-7556, plain, ( ~c_List_Olist__all2(_u18373, _u18375, _u18377, hAPP(c_List_Orev(_u18373), _u18379), hAPP(c_List_Orev(_u18375), _u18381)) | c_List_Olist__all2(_u18373, _u18375, _u18377, _u18379, _u18381) )).
% 20.36/20.63 cnf(matrix-7557, plain, ( ~c_List_Olist__all2(_u18374, _u18376, _u18378, _u18380, _u18382) | c_List_Olist__all2(_u18374, _u18376, _u18378, hAPP(c_List_Orev(_u18374), _u18380), hAPP(c_List_Orev(_u18376), _u18382)) )).
% 20.36/20.63 cnf(matrix-7558, plain, ( ~c_List_Olist__all2(_u18388, _u18390, _u18392, hAPP(c_List_Orev(_u18388), _u18394), _u18396) | c_List_Olist__all2(_u18388, _u18390, _u18392, _u18394, hAPP(c_List_Orev(_u18390), _u18396)) )).
% 20.36/20.63 cnf(matrix-7559, plain, ( ~c_List_Olist__all2(_u18389, _u18391, _u18393, _u18395, hAPP(c_List_Orev(_u18391), _u18397)) | c_List_Olist__all2(_u18389, _u18391, _u18393, hAPP(c_List_Orev(_u18389), _u18395), _u18397) )).
% 20.36/20.63 cnf(matrix-7560, plain, ( ( hAPP(c_List_Orev(_u18398), hAPP(c_List_Orev(_u18398), _u18399)) = _u18399) )).
% 20.36/20.63 cnf(matrix-7561, plain, ( ( hAPP(c_List_Orev(_u18403), _u18405) != _u18407) | ( _u18405 = hAPP(c_List_Orev(_u18403), _u18407)) )).
% 20.36/20.63 cnf(matrix-7562, plain, ( ( _u18406 != hAPP(c_List_Orev(_u18404), _u18408)) | ( hAPP(c_List_Orev(_u18404), _u18406) = _u18408) )).
% 20.36/20.63 cnf(matrix-7563, plain, ( ( _u18414 = _u18416) | ( hAPP(c_List_Orev(_u18412), _u18414) != hAPP(c_List_Orev(_u18412), _u18416)) )).
% 20.36/20.63 cnf(matrix-7564, plain, ( ( _u18415 != _u18417) | ( hAPP(c_List_Orev(_u18413), _u18415) = hAPP(c_List_Orev(_u18413), _u18417)) )).
% 20.36/20.63 cnf(matrix-7565, plain, ( ~class_Groups_Ocomm__monoid__add(_u18418) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18418), hAPP(c_List_Orev(_u18418), _u18419)) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18418), _u18419)) )).
% 20.36/20.63 cnf(matrix-7566, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18420)), hAPP(c_List_Orev(_u18420), _u18421)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18420)), _u18421)) )).
% 20.36/20.63 cnf(matrix-7567, plain, ( ( hAPP(c_List_Ofoldl(_u18422, _u18423, _u18424, _u18425), _u18426) = c_List_Ofoldr(_u18423, _u18422, hAPP(c_COMBC(_u18422, _u18423, _u18422), _u18424), hAPP(c_List_Orev(_u18423), _u18426), _u18425)) )).
% 20.36/20.63 cnf(matrix-7568, plain, ( ( c_List_Ofoldr(_u18427, _u18428, _u18429, _u18430, _u18431) = hAPP(c_List_Ofoldl(_u18428, _u18427, hAPP(c_COMBC(_u18427, _u18428, _u18428), _u18429), _u18431), hAPP(c_List_Orev(_u18427), _u18430))) )).
% 20.36/20.63 cnf(matrix-7569, plain, ( ( hAPP(c_List_Orev(_u18436), _u18438) != hAPP(hAPP(c_List_Olist_OCons(_u18436), _u18440), _u18442)) | ( _u18438 = hAPP(hAPP(c_List_Oappend(_u18436), hAPP(c_List_Orev(_u18436), _u18442)), hAPP(hAPP(c_List_Olist_OCons(_u18436), _u18440), c_List_Olist_ONil(_u18436)))) )).
% 20.36/20.63 cnf(matrix-7570, plain, ( ( _u18439 != hAPP(hAPP(c_List_Oappend(_u18437), hAPP(c_List_Orev(_u18437), _u18443)), hAPP(hAPP(c_List_Olist_OCons(_u18437), _u18441), c_List_Olist_ONil(_u18437)))) | ( hAPP(c_List_Orev(_u18437), _u18439) = hAPP(hAPP(c_List_Olist_OCons(_u18437), _u18441), _u18443)) )).
% 20.36/20.63 cnf(matrix-7571, plain, ( ( hAPP(c_List_Orev(_u18444), hAPP(hAPP(c_List_Olist_OCons(_u18444), _u18445), _u18446)) = hAPP(hAPP(c_List_Oappend(_u18444), hAPP(c_List_Orev(_u18444), _u18446)), hAPP(hAPP(c_List_Olist_OCons(_u18444), _u18445), c_List_Olist_ONil(_u18444)))) )).
% 20.36/20.63 cnf(matrix-7572, plain, ( ( _u18447 = c_List_Olist_ONil(_u18448)) | ( hAPP(c_List_Ohd(_u18448), hAPP(c_List_Orev(_u18448), _u18447)) = c_List_Olast(_u18448, _u18447)) )).
% 20.36/20.63 cnf(matrix-7573, plain, ( ( _u18449 = c_List_Olist_ONil(_u18450)) | ( c_List_Olast(_u18450, hAPP(c_List_Orev(_u18450), _u18449)) = hAPP(c_List_Ohd(_u18450), _u18449)) )).
% 20.36/20.63 cnf(matrix-7574, plain, ( c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18451), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18451))), c_List_Otranspose(_u18451, _u18452)))) )).
% 20.36/20.63 cnf(matrix-7575, plain, ( ( hAPP(c_List_Orev(_u18453), _u18454) = hAPP(c_List_Ofoldl(tc_List_Olist(_u18453), _u18453, hAPP(c_COMBC(_u18453, tc_List_Olist(_u18453), tc_List_Olist(_u18453)), c_List_Olist_OCons(_u18453)), c_List_Olist_ONil(_u18453)), _u18454)) )).
% 20.36/20.63 cnf(matrix-7576, plain, ( ( hAPP(c_List_Orev(_u18455), hAPP(hAPP(c_List_Odrop(_u18455), _u18456), _u18457)) = hAPP(hAPP(c_List_Otake(_u18455), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18455)), _u18457)), _u18456)), hAPP(c_List_Orev(_u18455), _u18457))) )).
% 20.36/20.63 cnf(matrix-7577, plain, ( ( hAPP(c_List_Orev(_u18458), hAPP(hAPP(c_List_Otake(_u18458), _u18459), _u18460)) = hAPP(hAPP(c_List_Odrop(_u18458), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18458)), _u18460)), _u18459)), hAPP(c_List_Orev(_u18458), _u18460))) )).
% 20.36/20.63 cnf(matrix-7578, plain, ( ( hAPP(c_List_Orotate(_u18461, _u18462), hAPP(c_List_Orev(_u18461), _u18463)) = hAPP(c_List_Orev(_u18461), hAPP(c_List_Orotate(_u18461, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18461)), _u18463)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u18462, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18461)), _u18463)))), _u18463))) )).
% 20.36/20.63 cnf(matrix-7579, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18464), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18465)), _u18466))) | ( hAPP(hAPP(c_List_Onth(_u18465), hAPP(c_List_Orev(_u18465), _u18466)), _u18464) = hAPP(hAPP(c_List_Onth(_u18465), _u18466), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18465)), _u18466)), hAPP(c_Nat_OSuc, _u18464)))) )).
% 20.36/20.63 cnf(matrix-7580, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18467), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18468)), _u18469))) | ( hAPP(c_List_Orev(_u18468), hAPP(hAPP(c_List_Olist__update(_u18468, _u18469), _u18467), _u18470)) = hAPP(hAPP(c_List_Olist__update(_u18468, hAPP(c_List_Orev(_u18468), _u18469)), 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(_u18468)), _u18469)), _u18467)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u18470)) )).
% 20.36/20.63 cnf(matrix-7581, plain, ( ~class_Orderings_Olinorder(_u18471) | ~c_List_Olinorder__class_Osorted(_u18471, hAPP(c_List_Orev(_u18471), _u18472)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18473), _u18474)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18474), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18471)), _u18472))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18471), hAPP(hAPP(c_List_Onth(_u18471), _u18472), _u18474)), hAPP(hAPP(c_List_Onth(_u18471), _u18472), _u18473))) )).
% 20.36/20.63 cnf(matrix-7582, plain, ( ~class_Orderings_Olinorder(_u18475) | ~c_List_Olinorder__class_Osorted(_u18475, hAPP(c_List_Orev(_u18475), _u18476)) | ( _u18476 != c_List_Olist_ONil(_u18475)) | ( c_List_Ofoldr(_u18475, _u18475, c_Orderings_Oord__class_Omax(_u18475), _u18476, _u18477) = _u18477) )).
% 20.36/20.63 cnf(matrix-7583, plain, ( ~class_Orderings_Olinorder(_u18475) | ~c_List_Olinorder__class_Osorted(_u18475, hAPP(c_List_Orev(_u18475), _u18476)) | ( _u18476 = c_List_Olist_ONil(_u18475)) | ( c_List_Ofoldr(_u18475, _u18475, c_Orderings_Oord__class_Omax(_u18475), _u18476, _u18477) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u18475), hAPP(hAPP(c_List_Onth(_u18475), _u18476), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u18477)) )).
% 20.36/20.63 cnf(matrix-7584, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18478), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18478))), _u18479))) | ( _u18479 != c_List_Olist_ONil(tc_List_Olist(_u18478))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18478))), c_List_Otranspose(_u18478, _u18479)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.63 cnf(matrix-7585, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18478), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18478))), _u18479))) | ( _u18479 = c_List_Olist_ONil(tc_List_Olist(_u18478))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18478))), c_List_Otranspose(_u18478, _u18479)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18478)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18478)), _u18479), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 20.36/20.63 cnf(matrix-7586, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18480), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18480))), _u18481))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18482), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18480))), _u18481))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18480))), hAPP(c_List_Ofilter(tc_List_Olist(_u18480), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18480)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18482)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18480)))), c_List_Otranspose(_u18480, _u18481))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18480)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18480)), _u18481), _u18482))) )).
% 20.36/20.63 cnf(matrix-7587, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18483), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18483))), _u18484))) | ( c_List_Otranspose(_u18483, c_List_Otranspose(_u18483, _u18484)) = c_List_OtakeWhile(tc_List_Olist(_u18483), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18483)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18483), tc_List_Olist(_u18483), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u18483))), _u18484)) )).
% 20.36/20.63 cnf(matrix-7588, plain, ( ( c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint))) )).
% 20.36/20.63 cnf(matrix-7589, plain, ( ~class_Orderings_Olinorder(_u18485) | ~c_List_Olinorder__class_Osorted(_u18485, _u18486) | c_List_Olinorder__class_Osorted(_u18485, c_List_OtakeWhile(_u18485, _u18487, _u18486)) )).
% 20.36/20.63 cnf(matrix-7590, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18488)), c_List_OtakeWhile(_u18488, _u18489, _u18490))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18488)), _u18490))) )).
% 20.36/20.63 cnf(matrix-7591, plain, ( ( c_List_OtakeWhile(_u18496, _u18498, _u18500) != _u18500) | ~hBOOL(hAPP(hAPP(c_member(_u18496), _u18491), hAPP(c_List_Oset(_u18496), _u18500))) | hBOOL(hAPP(_u18498, _u18491)) )).
% 20.36/20.63 cnf(matrix-7592, plain, ( ( c_List_OtakeWhile(_u18497, _u18499, _u18501) = _u18501) | hBOOL(hAPP(hAPP(c_member(_u18497), skolem459(_u18501, _u18499, _u18497)), hAPP(c_List_Oset(_u18497), _u18501))) )).
% 20.36/20.63 cnf(matrix-7593, plain, ( ( c_List_OtakeWhile(_u18497, _u18499, _u18501) = _u18501) | ~hBOOL(hAPP(_u18499, skolem459(_u18501, _u18499, _u18497))) )).
% 20.36/20.63 cnf(matrix-7594, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18502), _u18503), hAPP(c_List_Oset(_u18502), c_List_OtakeWhile(_u18502, _u18504, _u18505)))) | hBOOL(hAPP(hAPP(c_member(_u18502), _u18503), hAPP(c_List_Oset(_u18502), _u18505))) )).
% 20.36/20.63 cnf(matrix-7595, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18502), _u18503), hAPP(c_List_Oset(_u18502), c_List_OtakeWhile(_u18502, _u18504, _u18505)))) | hBOOL(hAPP(_u18504, _u18503)) )).
% 20.36/20.63 cnf(matrix-7596, plain, ( ( hAPP(hAPP(c_List_Ozip(_u18506, _u18507), _u18508), c_List_OtakeWhile(_u18507, _u18509, _u18510)) = c_List_OtakeWhile(tc_prod(_u18506, _u18507), hAPP(c_Fun_Ocomp(_u18507, tc_HOL_Obool, tc_prod(_u18506, _u18507), _u18509), c_Product__Type_Osnd(_u18506, _u18507)), hAPP(hAPP(c_List_Ozip(_u18506, _u18507), _u18508), _u18510))) )).
% 20.36/20.63 cnf(matrix-7597, plain, ( ( hAPP(hAPP(c_List_Ozip(_u18511, _u18512), c_List_OtakeWhile(_u18511, _u18513, _u18514)), _u18515) = c_List_OtakeWhile(tc_prod(_u18511, _u18512), hAPP(c_Fun_Ocomp(_u18511, tc_HOL_Obool, tc_prod(_u18511, _u18512), _u18513), c_Product__Type_Ofst(_u18511, _u18512)), hAPP(hAPP(c_List_Ozip(_u18511, _u18512), _u18514), _u18515))) )).
% 20.36/20.63 cnf(matrix-7598, plain, ( ( c_List_OtakeWhile(_u18516, _u18517, hAPP(hAPP(c_List_Omap(_u18518, _u18516), _u18519), _u18520)) = hAPP(hAPP(c_List_Omap(_u18518, _u18516), _u18519), c_List_OtakeWhile(_u18518, hAPP(c_Fun_Ocomp(_u18516, tc_HOL_Obool, _u18518, _u18517), _u18519), _u18520))) )).
% 20.36/20.63 cnf(matrix-7599, plain, ( hBOOL(hAPP(_u18521, _u18522)) | ( c_List_OtakeWhile(_u18523, _u18521, hAPP(hAPP(c_List_Oappend(_u18523), _u18524), hAPP(hAPP(c_List_Olist_OCons(_u18523), _u18522), _u18525))) = c_List_OtakeWhile(_u18523, _u18521, _u18524)) )).
% 20.36/20.63 cnf(matrix-7600, plain, ( ~hBOOL(hAPP(_u18530, _u18532)) | ( c_List_OtakeWhile(_u18534, _u18530, hAPP(hAPP(c_List_Olist_OCons(_u18534), _u18532), _u18536)) = hAPP(hAPP(c_List_Olist_OCons(_u18534), _u18532), c_List_OtakeWhile(_u18534, _u18530, _u18536))) )).
% 20.36/20.63 cnf(matrix-7601, plain, ( hBOOL(hAPP(_u18531, _u18533)) | ( c_List_OtakeWhile(_u18535, _u18531, hAPP(hAPP(c_List_Olist_OCons(_u18535), _u18533), _u18537)) = c_List_Olist_ONil(_u18535)) )).
% 20.36/20.63 cnf(matrix-7602, plain, ( ( c_List_OtakeWhile(_u18538, _u18539, c_List_Olist_ONil(_u18538)) = c_List_Olist_ONil(_u18538)) )).
% 20.36/20.63 cnf(matrix-7603, plain, ( ( c_List_OtakeWhile(_u18540, _u18541, _u18542) = hAPP(hAPP(c_List_Otake(_u18540), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18540)), c_List_OtakeWhile(_u18540, _u18541, _u18542))), _u18542)) )).
% 20.36/20.63 cnf(matrix-7604, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18543), _u18544)) | hBOOL(hAPP(c_List_Odistinct(_u18543), c_List_OtakeWhile(_u18543, _u18545, _u18544))) )).
% 20.36/20.63 cnf(matrix-7605, plain, ( ( c_List_Oreturn__list(_u18546) = hAPP(hAPP(c_List_Omap(tc_Int_Oint, tc_Nat_Onat), c_Int_Onat), _u18546)) )).
% 20.36/20.63 cnf(matrix-7606, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18547), _u18548), hAPP(c_List_Oset(_u18547), _u18549))) | hBOOL(hAPP(_u18550, _u18548)) | ( c_List_OtakeWhile(_u18547, _u18550, hAPP(hAPP(c_List_Oappend(_u18547), _u18549), _u18551)) = c_List_OtakeWhile(_u18547, _u18550, _u18549)) )).
% 20.36/20.63 cnf(matrix-7607, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18552), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18553)), c_List_OtakeWhile(_u18553, _u18554, _u18555)))) | ( hAPP(hAPP(c_List_Onth(_u18553), c_List_OtakeWhile(_u18553, _u18554, _u18555)), _u18552) = hAPP(hAPP(c_List_Onth(_u18553), _u18555), _u18552)) )).
% 20.36/20.63 cnf(matrix-7608, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18556)), c_List_OtakeWhile(_u18556, _u18557, _u18558))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18556)), _u18558))) | ~hBOOL(hAPP(_u18557, hAPP(hAPP(c_List_Onth(_u18556), _u18558), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18556)), c_List_OtakeWhile(_u18556, _u18557, _u18558))))) )).
% 20.36/20.63 cnf(matrix-7609, plain, ( ( _u18559 = c_List_Olist_ONil(_u18560)) | ~hBOOL(hAPP(c_List_Odistinct(_u18560), _u18559)) | ( c_List_OtakeWhile(_u18560, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18560), c_fNot), hAPP(hAPP(c_COMBC(_u18560, _u18560, tc_HOL_Obool), c_fequal), c_List_Olast(_u18560, _u18559))), _u18559) = c_List_Obutlast(_u18560, _u18559)) )).
% 20.36/20.63 cnf(matrix-7610, plain, ( ~class_Orderings_Olinorder(_u18561) | ~c_List_Olinorder__class_Osorted(_u18561, hAPP(c_List_Orev(_u18561), hAPP(hAPP(c_List_Omap(_u18562, _u18561), _u18563), _u18564))) | ( hAPP(c_List_Ofilter(_u18562, hAPP(hAPP(c_COMBB(_u18561, tc_HOL_Obool, _u18562), hAPP(c_Orderings_Oord__class_Oless(_u18561), _u18565)), _u18563)), _u18564) = c_List_OtakeWhile(_u18562, hAPP(hAPP(c_COMBB(_u18561, tc_HOL_Obool, _u18562), hAPP(c_Orderings_Oord__class_Oless(_u18561), _u18565)), _u18563), _u18564)) )).
% 20.36/20.63 cnf(matrix-7611, plain, ( ~c_List_Onat__list(_u18566) | ( c_List_Oembed__list(c_List_Oreturn__list(_u18566)) = _u18566) )).
% 20.36/20.63 cnf(matrix-7612, plain, ( ( hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), _u18567), _u18568) = c_List_Oreturn__list(hAPP(hAPP(c_List_Oappend(tc_Int_Oint), c_List_Oembed__list(_u18567)), c_List_Oembed__list(_u18568)))) )).
% 20.36/20.63 cnf(matrix-7613, plain, ( ( c_List_Oembed__list(_u18569) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Int_Oint), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u18569)) )).
% 20.36/20.63 cnf(matrix-7614, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18570), _u18571)) | ~hBOOL(hAPP(hAPP(c_member(_u18570), _u18572), hAPP(c_List_Oset(_u18570), _u18571))) | ( c_List_OtakeWhile(_u18570, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18570), c_fNot), hAPP(hAPP(c_COMBC(_u18570, _u18570, tc_HOL_Obool), c_fequal), _u18572)), hAPP(c_List_Orev(_u18570), _u18571)) = hAPP(c_List_Orev(_u18570), hAPP(c_List_Otl(_u18570), c_List_OdropWhile(_u18570, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18570), c_fNot), hAPP(hAPP(c_COMBC(_u18570, _u18570, tc_HOL_Obool), c_fequal), _u18572)), _u18571)))) )).
% 20.36/20.63 cnf(matrix-7615, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18573), _u18574)) | ~hBOOL(hAPP(hAPP(c_member(_u18573), _u18575), hAPP(c_List_Oset(_u18573), _u18574))) | ( c_List_OdropWhile(_u18573, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18573), c_fNot), hAPP(hAPP(c_COMBC(_u18573, _u18573, tc_HOL_Obool), c_fequal), _u18575)), hAPP(c_List_Orev(_u18573), _u18574)) = hAPP(hAPP(c_List_Olist_OCons(_u18573), _u18575), hAPP(c_List_Orev(_u18573), c_List_OtakeWhile(_u18573, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18573), c_fNot), hAPP(hAPP(c_COMBC(_u18573, _u18573, tc_HOL_Obool), c_fequal), _u18575)), _u18574)))) )).
% 20.36/20.63 cnf(matrix-7616, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18576), c_List_OtakeWhile(_u18576, _u18577, _u18578)), c_List_OdropWhile(_u18576, _u18577, _u18578)) = _u18578) )).
% 20.36/20.63 cnf(matrix-7617, plain, ( ~class_Orderings_Olinorder(_u18579) | ~c_List_Olinorder__class_Osorted(_u18579, _u18580) | c_List_Olinorder__class_Osorted(_u18579, c_List_OdropWhile(_u18579, _u18581, _u18580)) )).
% 20.36/20.63 cnf(matrix-7618, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18582)), c_List_OdropWhile(_u18582, _u18583, _u18584))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18582)), _u18584))) )).
% 20.36/20.63 cnf(matrix-7619, plain, ( ( c_List_OdropWhile(_u18590, _u18592, _u18594) != c_List_Olist_ONil(_u18590)) | ~hBOOL(hAPP(hAPP(c_member(_u18590), _u18585), hAPP(c_List_Oset(_u18590), _u18594))) | hBOOL(hAPP(_u18592, _u18585)) )).
% 20.36/20.63 cnf(matrix-7620, plain, ( ( c_List_OdropWhile(_u18591, _u18593, _u18595) = c_List_Olist_ONil(_u18591)) | hBOOL(hAPP(hAPP(c_member(_u18591), skolem460(_u18595, _u18593, _u18591)), hAPP(c_List_Oset(_u18591), _u18595))) )).
% 20.36/20.63 cnf(matrix-7621, plain, ( ( c_List_OdropWhile(_u18591, _u18593, _u18595) = c_List_Olist_ONil(_u18591)) | ~hBOOL(hAPP(_u18593, skolem460(_u18595, _u18593, _u18591))) )).
% 20.36/20.63 cnf(matrix-7622, plain, ( ~hBOOL(hAPP(_u18600, _u18602)) | ( c_List_OdropWhile(_u18604, _u18600, hAPP(hAPP(c_List_Olist_OCons(_u18604), _u18602), _u18606)) = c_List_OdropWhile(_u18604, _u18600, _u18606)) )).
% 20.36/20.63 cnf(matrix-7623, plain, ( hBOOL(hAPP(_u18601, _u18603)) | ( c_List_OdropWhile(_u18605, _u18601, hAPP(hAPP(c_List_Olist_OCons(_u18605), _u18603), _u18607)) = hAPP(hAPP(c_List_Olist_OCons(_u18605), _u18603), _u18607)) )).
% 20.36/20.63 cnf(matrix-7624, plain, ( ( c_List_OdropWhile(_u18608, _u18609, c_List_Olist_ONil(_u18608)) = c_List_Olist_ONil(_u18608)) )).
% 20.36/20.63 cnf(matrix-7625, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18610), _u18611)) | hBOOL(hAPP(c_List_Odistinct(_u18610), c_List_OdropWhile(_u18610, _u18612, _u18611))) )).
% 20.36/20.63 cnf(matrix-7626, plain, ( ( c_List_OdropWhile(_u18613, _u18614, _u18615) = c_List_Olist_ONil(_u18613)) | ~hBOOL(hAPP(_u18614, hAPP(c_List_Ohd(_u18613), c_List_OdropWhile(_u18613, _u18614, _u18615)))) )).
% 20.36/20.63 cnf(matrix-7627, plain, ( ( c_List_OdropWhile(_u18616, _u18617, hAPP(hAPP(c_List_Omap(_u18618, _u18616), _u18619), _u18620)) = hAPP(hAPP(c_List_Omap(_u18618, _u18616), _u18619), c_List_OdropWhile(_u18618, hAPP(c_Fun_Ocomp(_u18616, tc_HOL_Obool, _u18618, _u18617), _u18619), _u18620))) )).
% 20.36/20.63 cnf(matrix-7628, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18621), _u18622), hAPP(c_List_Oset(_u18621), _u18623))) | hBOOL(hAPP(_u18624, _u18622)) | ( c_List_OdropWhile(_u18621, _u18624, hAPP(hAPP(c_List_Oappend(_u18621), _u18623), _u18625)) = hAPP(hAPP(c_List_Oappend(_u18621), c_List_OdropWhile(_u18621, _u18624, _u18623)), _u18625)) )).
% 20.36/20.63 cnf(matrix-7629, plain, ( ( c_List_OdropWhile(_u18631, _u18633, _u18635) != hAPP(hAPP(c_List_Olist_OCons(_u18631), _u18637), _u18639)) | ( _u18635 = hAPP(hAPP(c_List_Oappend(_u18631), c_List_OtakeWhile(_u18631, _u18633, _u18635)), hAPP(hAPP(c_List_Olist_OCons(_u18631), _u18637), _u18639))) )).
% 20.36/20.63 cnf(matrix-7630, plain, ( ( c_List_OdropWhile(_u18631, _u18633, _u18635) != hAPP(hAPP(c_List_Olist_OCons(_u18631), _u18637), _u18639)) | ~hBOOL(hAPP(_u18633, _u18637)) )).
% 20.36/20.63 cnf(matrix-7631, plain, ( ( _u18636 != hAPP(hAPP(c_List_Oappend(_u18632), c_List_OtakeWhile(_u18632, _u18634, _u18636)), hAPP(hAPP(c_List_Olist_OCons(_u18632), _u18638), _u18640))) | hBOOL(hAPP(_u18634, _u18638)) | ( c_List_OdropWhile(_u18632, _u18634, _u18636) = hAPP(hAPP(c_List_Olist_OCons(_u18632), _u18638), _u18640)) )).
% 20.36/20.63 cnf(matrix-7632, plain, ( ( c_List_OdropWhile(_u18641, _u18642, _u18643) = hAPP(hAPP(c_List_Odrop(_u18641), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18641)), c_List_OtakeWhile(_u18641, _u18642, _u18643))), _u18643)) )).
% 20.36/20.63 cnf(matrix-7633, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18644), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18645)), c_List_OdropWhile(_u18645, _u18646, _u18647)))) | ( hAPP(hAPP(c_List_Onth(_u18645), c_List_OdropWhile(_u18645, _u18646, _u18647)), _u18644) = hAPP(hAPP(c_List_Onth(_u18645), _u18647), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18644), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18645)), c_List_OtakeWhile(_u18645, _u18646, _u18647))))) )).
% 20.36/20.63 cnf(matrix-7634, plain, ( ~class_Groups_Omonoid__add(_u18649) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18649), hAPP(hAPP(c_List_Omap(_u18650, _u18649), _u18653), hAPP(c_List_Ofilter(_u18650, _u18652), _u18651))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18649), hAPP(hAPP(c_List_Omap(_u18650, _u18649), _u18653), _u18651))) | hBOOL(hAPP(hAPP(c_member(_u18650), skolem461(_u18653, _u18652, _u18651, _u18650, _u18649)), hAPP(c_List_Oset(_u18650), _u18651))) )).
% 20.36/20.63 cnf(matrix-7635, plain, ( ~class_Groups_Omonoid__add(_u18649) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18649), hAPP(hAPP(c_List_Omap(_u18650, _u18649), _u18653), hAPP(c_List_Ofilter(_u18650, _u18652), _u18651))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18649), hAPP(hAPP(c_List_Omap(_u18650, _u18649), _u18653), _u18651))) | ~hBOOL(hAPP(_u18652, skolem461(_u18653, _u18652, _u18651, _u18650, _u18649))) )).
% 20.36/20.63 cnf(matrix-7636, plain, ( ~class_Groups_Omonoid__add(_u18649) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18649), hAPP(hAPP(c_List_Omap(_u18650, _u18649), _u18653), hAPP(c_List_Ofilter(_u18650, _u18652), _u18651))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18649), hAPP(hAPP(c_List_Omap(_u18650, _u18649), _u18653), _u18651))) | ( hAPP(_u18653, skolem461(_u18653, _u18652, _u18651, _u18650, _u18649)) != c_Groups_Ozero__class_Ozero(_u18649)) )).
% 20.36/20.63 cnf(matrix-7637, plain, ( ~class_Orderings_Olinorder(_u18656) | c_List_Olinorder__class_Osorted(_u18656, _u18657) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem462(_u18657, _u18656)), skolem463(_u18657, _u18656))) )).
% 20.36/20.63 cnf(matrix-7638, plain, ( ~class_Orderings_Olinorder(_u18656) | c_List_Olinorder__class_Osorted(_u18656, _u18657) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem463(_u18657, _u18656)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18656)), _u18657))) )).
% 20.36/20.63 cnf(matrix-7639, plain, ( ~class_Orderings_Olinorder(_u18656) | c_List_Olinorder__class_Osorted(_u18656, _u18657) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18656), hAPP(hAPP(c_List_Onth(_u18656), _u18657), skolem462(_u18657, _u18656))), hAPP(hAPP(c_List_Onth(_u18656), _u18657), skolem463(_u18657, _u18656)))) )).
% 20.36/20.63 cnf(matrix-7640, plain, ( ( c_List_OtakeWhile(_u18659, _u18660, _u18661) = hAPP(c_List_Ofilter(_u18659, _u18660), _u18661)) | hBOOL(hAPP(hAPP(c_member(_u18659), skolem464(_u18661, _u18660, _u18659)), hAPP(c_List_Oset(_u18659), c_List_OdropWhile(_u18659, _u18660, _u18661)))) )).
% 20.36/20.63 cnf(matrix-7641, plain, ( ( c_List_OtakeWhile(_u18659, _u18660, _u18661) = hAPP(c_List_Ofilter(_u18659, _u18660), _u18661)) | hBOOL(hAPP(_u18660, skolem464(_u18661, _u18660, _u18659))) )).
% 20.36/20.63 cnf(matrix-7642, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem465(_u18666, _u18665, _u18664, _u18663)), _u18663)) | ( c_List_OtakeWhile(_u18664, _u18666, _u18665) = hAPP(hAPP(c_List_Otake(_u18664), _u18663), _u18665)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18663), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18664)), _u18665))) )).
% 20.36/20.63 cnf(matrix-7643, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem465(_u18666, _u18665, _u18664, _u18663)), _u18663)) | ( c_List_OtakeWhile(_u18664, _u18666, _u18665) = hAPP(hAPP(c_List_Otake(_u18664), _u18663), _u18665)) | hBOOL(hAPP(_u18666, hAPP(hAPP(c_List_Onth(_u18664), _u18665), _u18663))) )).
% 20.36/20.63 cnf(matrix-7644, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem465(_u18666, _u18665, _u18664, _u18663)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18664)), _u18665))) | ( c_List_OtakeWhile(_u18664, _u18666, _u18665) = hAPP(hAPP(c_List_Otake(_u18664), _u18663), _u18665)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18663), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18664)), _u18665))) )).
% 20.36/20.63 cnf(matrix-7645, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem465(_u18666, _u18665, _u18664, _u18663)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18664)), _u18665))) | ( c_List_OtakeWhile(_u18664, _u18666, _u18665) = hAPP(hAPP(c_List_Otake(_u18664), _u18663), _u18665)) | hBOOL(hAPP(_u18666, hAPP(hAPP(c_List_Onth(_u18664), _u18665), _u18663))) )).
% 20.36/20.63 cnf(matrix-7646, plain, ( ~hBOOL(hAPP(_u18666, hAPP(hAPP(c_List_Onth(_u18664), _u18665), skolem465(_u18666, _u18665, _u18664, _u18663)))) | ( c_List_OtakeWhile(_u18664, _u18666, _u18665) = hAPP(hAPP(c_List_Otake(_u18664), _u18663), _u18665)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18663), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18664)), _u18665))) )).
% 20.36/20.63 cnf(matrix-7647, plain, ( ~hBOOL(hAPP(_u18666, hAPP(hAPP(c_List_Onth(_u18664), _u18665), skolem465(_u18666, _u18665, _u18664, _u18663)))) | ( c_List_OtakeWhile(_u18664, _u18666, _u18665) = hAPP(hAPP(c_List_Otake(_u18664), _u18663), _u18665)) | hBOOL(hAPP(_u18666, hAPP(hAPP(c_List_Onth(_u18664), _u18665), _u18663))) )).
% 20.36/20.63 cnf(matrix-7648, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18668), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18670)), _u18671))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18668), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18670)), c_List_OtakeWhile(_u18670, _u18669, _u18671)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem466(_u18671, _u18670, _u18669, _u18668)), _u18668)) )).
% 20.36/20.63 cnf(matrix-7649, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18668), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18670)), _u18671))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18668), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18670)), c_List_OtakeWhile(_u18670, _u18669, _u18671)))) | ~hBOOL(hAPP(_u18669, hAPP(hAPP(c_List_Onth(_u18670), _u18671), skolem466(_u18671, _u18670, _u18669, _u18668)))) )).
% 20.36/20.63 cnf(matrix-7650, plain, ( ~class_Orderings_Olinorder(_u18678) | ~c_List_Olinorder__class_Osorted(_u18678, _u18679) | ( _u18679 = c_List_Olist_ONil(_u18678)) | c_List_Olinorder__class_Osorted(_u18678, skolem467(_u18679, _u18678)) )).
% 20.36/20.63 cnf(matrix-7651, plain, ( ~class_Orderings_Olinorder(_u18678) | ~c_List_Olinorder__class_Osorted(_u18678, _u18679) | ( _u18679 = c_List_Olist_ONil(_u18678)) | ( _u18679 = hAPP(hAPP(c_List_Olist_OCons(_u18678), skolem468(_u18679, _u18678)), skolem467(_u18679, _u18678))) )).
% 20.36/20.63 cnf(matrix-7652, plain, ( ~class_Orderings_Olinorder(_u18678) | ~c_List_Olinorder__class_Osorted(_u18678, _u18679) | ( _u18679 = c_List_Olist_ONil(_u18678)) | ~hBOOL(hAPP(hAPP(c_member(_u18678), _u18672), hAPP(c_List_Oset(_u18678), skolem467(_u18679, _u18678)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18678), skolem468(_u18679, _u18678)), _u18672)) )).
% 20.36/20.63 cnf(matrix-7653, plain, ( ~class_Orderings_Olinorder(_u18678) | c_List_Olinorder__class_Osorted(_u18678, _u18679) | ( _u18679 != c_List_Olist_ONil(_u18678)) )).
% 20.36/20.63 cnf(matrix-7654, plain, ( ~class_Orderings_Olinorder(_u18678) | c_List_Olinorder__class_Osorted(_u18678, _u18679) | ~c_List_Olinorder__class_Osorted(_u18678, _u18677) | ( _u18679 != hAPP(hAPP(c_List_Olist_OCons(_u18678), _u18676), _u18677)) | hBOOL(hAPP(hAPP(c_member(_u18678), skolem469(_u18679, _u18678, _u18677, _u18676)), hAPP(c_List_Oset(_u18678), _u18677))) )).
% 20.36/20.63 cnf(matrix-7655, plain, ( ~class_Orderings_Olinorder(_u18678) | c_List_Olinorder__class_Osorted(_u18678, _u18679) | ~c_List_Olinorder__class_Osorted(_u18678, _u18677) | ( _u18679 != hAPP(hAPP(c_List_Olist_OCons(_u18678), _u18676), _u18677)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18678), _u18676), skolem469(_u18679, _u18678, _u18677, _u18676))) )).
% 20.36/20.63 cnf(matrix-7656, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18683), _u18685), hAPP(c_List_Oset(_u18683), _u18687))) | ( c_List_Oinsert(_u18683, _u18685, _u18687) = _u18687) )).
% 20.36/20.63 cnf(matrix-7657, plain, ( hBOOL(hAPP(hAPP(c_member(_u18684), _u18686), hAPP(c_List_Oset(_u18684), _u18688))) | ( c_List_Oinsert(_u18684, _u18686, _u18688) = hAPP(hAPP(c_List_Olist_OCons(_u18684), _u18686), _u18688)) )).
% 20.36/20.63 cnf(matrix-7658, plain, ( hBOOL(hAPP(hAPP(c_member(_u18689), _u18690), hAPP(c_List_Oset(_u18689), _u18691))) | ( c_List_Oinsert(_u18689, _u18690, _u18691) = hAPP(hAPP(c_List_Olist_OCons(_u18689), _u18690), _u18691)) )).
% 20.36/20.63 cnf(matrix-7659, plain, ( ( c_List_Oinsert(_u18692, _u18693, c_List_Oremdups(_u18692, _u18694)) = c_List_Oremdups(_u18692, c_List_Oinsert(_u18692, _u18693, _u18694))) )).
% 20.36/20.63 cnf(matrix-7660, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18695), _u18696)) | hBOOL(hAPP(c_List_Odistinct(_u18695), c_List_Oinsert(_u18695, _u18697, _u18696))) )).
% 20.36/20.63 cnf(matrix-7661, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18698), _u18699), hAPP(c_List_Oset(_u18698), _u18700))) | ( c_List_Oinsert(_u18698, _u18699, _u18700) = _u18700) )).
% 20.36/20.63 cnf(matrix-7662, plain, ( ( hAPP(c_List_Oset(_u18701), c_List_Oinsert(_u18701, _u18702, _u18703)) = hAPP(hAPP(c_Set_Oinsert(_u18701), _u18702), hAPP(c_List_Oset(_u18701), _u18703))) )).
% 20.36/20.63 cnf(matrix-7663, plain, ( ( c_List_Oinsert(_u18704, _u18705, c_List_Olist_ONil(_u18704)) = hAPP(hAPP(c_List_Olist_OCons(_u18704), _u18705), c_List_Olist_ONil(_u18704))) )).
% 20.36/20.63 cnf(matrix-7664, plain, ( ( c_List_Omaps(_u18706, _u18707, _u18708, _u18709) = c_List_Oconcat(_u18707, hAPP(hAPP(c_List_Omap(_u18706, tc_List_Olist(_u18707)), _u18708), _u18709))) )).
% 20.36/20.63 cnf(matrix-7665, plain, ( ( c_List_Oconcat(_u18710, hAPP(hAPP(c_List_Omap(_u18711, tc_List_Olist(_u18710)), _u18712), _u18713)) = c_List_Omaps(_u18711, _u18710, _u18712, _u18713)) )).
% 20.36/20.63 cnf(matrix-7666, plain, ( ( c_List_Omaps(_u18714, _u18715, _u18716, c_List_Olist_ONil(_u18714)) = c_List_Olist_ONil(_u18715)) )).
% 20.36/20.63 cnf(matrix-7667, plain, ( ( c_List_Omaps(_u18717, _u18718, _u18719, hAPP(hAPP(c_List_Olist_OCons(_u18717), _u18720), _u18721)) = hAPP(hAPP(c_List_Oappend(_u18718), hAPP(_u18719, _u18720)), c_List_Omaps(_u18717, _u18718, _u18719, _u18721))) )).
% 20.36/20.63 cnf(matrix-7668, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18725)), _u18726)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18725)), skolem470(_u18726, _u18725)), hAPP(c_List_Oset(tc_List_Olist(_u18725)), _u18726))) | hBOOL(hAPP(c_List_Odistinct(_u18725), c_List_Oconcat(_u18725, _u18726))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18725)), skolem471(_u18726, _u18725)), hAPP(c_List_Oset(tc_List_Olist(_u18725)), _u18726))) )).
% 20.36/20.63 cnf(matrix-7669, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18725)), _u18726)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18725)), skolem470(_u18726, _u18725)), hAPP(c_List_Oset(tc_List_Olist(_u18725)), _u18726))) | hBOOL(hAPP(c_List_Odistinct(_u18725), c_List_Oconcat(_u18725, _u18726))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18725)), skolem472(_u18726, _u18725)), hAPP(c_List_Oset(tc_List_Olist(_u18725)), _u18726))) )).
% 20.36/20.63 cnf(matrix-7670, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18725)), _u18726)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18725)), skolem470(_u18726, _u18725)), hAPP(c_List_Oset(tc_List_Olist(_u18725)), _u18726))) | hBOOL(hAPP(c_List_Odistinct(_u18725), c_List_Oconcat(_u18725, _u18726))) | ( skolem471(_u18726, _u18725) != skolem472(_u18726, _u18725)) )).
% 20.36/20.63 cnf(matrix-7671, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18725)), _u18726)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18725)), skolem470(_u18726, _u18725)), hAPP(c_List_Oset(tc_List_Olist(_u18725)), _u18726))) | hBOOL(hAPP(c_List_Odistinct(_u18725), c_List_Oconcat(_u18725, _u18726))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18725, tc_HOL_Obool)), hAPP(c_List_Oset(_u18725), skolem471(_u18726, _u18725))), hAPP(c_List_Oset(_u18725), skolem472(_u18726, _u18725))) != c_Orderings_Obot__class_Obot(tc_fun(_u18725, tc_HOL_Obool))) )).
% 20.36/20.63 cnf(matrix-7672, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18725)), _u18726)) | ~hBOOL(hAPP(c_List_Odistinct(_u18725), skolem470(_u18726, _u18725))) | hBOOL(hAPP(c_List_Odistinct(_u18725), c_List_Oconcat(_u18725, _u18726))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18725)), skolem471(_u18726, _u18725)), hAPP(c_List_Oset(tc_List_Olist(_u18725)), _u18726))) )).
% 20.36/20.63 cnf(matrix-7673, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18725)), _u18726)) | ~hBOOL(hAPP(c_List_Odistinct(_u18725), skolem470(_u18726, _u18725))) | hBOOL(hAPP(c_List_Odistinct(_u18725), c_List_Oconcat(_u18725, _u18726))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18725)), skolem472(_u18726, _u18725)), hAPP(c_List_Oset(tc_List_Olist(_u18725)), _u18726))) )).
% 20.36/20.63 cnf(matrix-7674, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18725)), _u18726)) | ~hBOOL(hAPP(c_List_Odistinct(_u18725), skolem470(_u18726, _u18725))) | hBOOL(hAPP(c_List_Odistinct(_u18725), c_List_Oconcat(_u18725, _u18726))) | ( skolem471(_u18726, _u18725) != skolem472(_u18726, _u18725)) )).
% 20.36/20.63 cnf(matrix-7675, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18725)), _u18726)) | ~hBOOL(hAPP(c_List_Odistinct(_u18725), skolem470(_u18726, _u18725))) | hBOOL(hAPP(c_List_Odistinct(_u18725), c_List_Oconcat(_u18725, _u18726))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18725, tc_HOL_Obool)), hAPP(c_List_Oset(_u18725), skolem471(_u18726, _u18725))), hAPP(c_List_Oset(_u18725), skolem472(_u18726, _u18725))) != c_Orderings_Obot__class_Obot(tc_fun(_u18725, tc_HOL_Obool))) )).
% 20.36/20.63 cnf(matrix-7676, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u18727, _u18728)), hAPP(_u18727, _u18729))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18730, _u18730)), hAPP(hAPP(c_Product__Type_OPair(_u18730, _u18730), _u18728), _u18729)), c_List_Omeasures(_u18730, _u18731))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18730, _u18730)), hAPP(hAPP(c_Product__Type_OPair(_u18730, _u18730), _u18728), _u18729)), c_List_Omeasures(_u18730, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18730, tc_Nat_Onat)), _u18727), _u18731)))) )).
% 20.36/20.63 cnf(matrix-7677, plain, ( c_Wellfounded_Owf(_u18732, c_List_Omeasures(_u18732, _u18733)) )).
% 20.36/20.63 cnf(matrix-7678, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18734, _u18734)), hAPP(hAPP(c_Product__Type_OPair(_u18734, _u18734), _u18735), _u18736)), c_List_Omeasures(_u18734, c_List_Olist_ONil(tc_fun(_u18734, tc_Nat_Onat))))) )).
% 20.36/20.63 cnf(matrix-7679, plain, ( ( c_List_Omeasures(_u18737, _u18738) = hAPP(hAPP(c_Relation_Oinv__image(tc_List_Olist(tc_Nat_Onat), _u18737), c_List_Olex(tc_Nat_Onat, c_Wellfounded_Oless__than)), hAPP(hAPP(c_COMBC(_u18737, tc_List_Olist(tc_fun(_u18737, tc_Nat_Onat)), tc_List_Olist(tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u18737, tc_Nat_Onat), tc_Nat_Onat), tc_fun(tc_List_Olist(tc_fun(_u18737, tc_Nat_Onat)), tc_List_Olist(tc_Nat_Onat)), _u18737), c_List_Omap(tc_fun(_u18737, tc_Nat_Onat), tc_Nat_Onat)), hAPP(c_COMBC(tc_fun(_u18737, tc_Nat_Onat), _u18737, tc_Nat_Onat), c_COMBI(tc_fun(_u18737, tc_Nat_Onat))))), _u18738))) )).
% 20.36/20.63 cnf(matrix-7680, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u18739, _u18740)), hAPP(_u18739, _u18741))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18742, _u18742)), hAPP(hAPP(c_Product__Type_OPair(_u18742, _u18742), _u18740), _u18741)), c_List_Omeasures(_u18742, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18742, tc_Nat_Onat)), _u18739), _u18743)))) )).
% 20.36/20.63 cnf(matrix-7681, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18749, _u18749)), hAPP(hAPP(c_Product__Type_OPair(_u18749, _u18749), _u18751), _u18753)), c_List_Omeasures(_u18749, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18749, tc_Nat_Onat)), _u18755), _u18757)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u18755, _u18751)), hAPP(_u18755, _u18753))) | ( hAPP(_u18755, _u18751) = hAPP(_u18755, _u18753)) )).
% 20.36/20.63 cnf(matrix-7682, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18749, _u18749)), hAPP(hAPP(c_Product__Type_OPair(_u18749, _u18749), _u18751), _u18753)), c_List_Omeasures(_u18749, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18749, tc_Nat_Onat)), _u18755), _u18757)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u18755, _u18751)), hAPP(_u18755, _u18753))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18749, _u18749)), hAPP(hAPP(c_Product__Type_OPair(_u18749, _u18749), _u18751), _u18753)), c_List_Omeasures(_u18749, _u18757))) )).
% 20.36/20.63 cnf(matrix-7683, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u18750, _u18750)), hAPP(hAPP(c_Product__Type_OPair(_u18750, _u18750), _u18752), _u18754)), c_List_Omeasures(_u18750, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18750, tc_Nat_Onat)), _u18756), _u18758)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u18756, _u18752)), hAPP(_u18756, _u18754))) )).
% 20.36/20.63 cnf(matrix-7684, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u18750, _u18750)), hAPP(hAPP(c_Product__Type_OPair(_u18750, _u18750), _u18752), _u18754)), c_List_Omeasures(_u18750, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18750, tc_Nat_Onat)), _u18756), _u18758)))) | ( hAPP(_u18756, _u18752) != hAPP(_u18756, _u18754)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18750, _u18750)), hAPP(hAPP(c_Product__Type_OPair(_u18750, _u18750), _u18752), _u18754)), c_List_Omeasures(_u18750, _u18758))) )).
% 20.36/20.63 cnf(matrix-7685, plain, ( ( hAPP(c_List_Ofoldl(_u18762, _u18760, hAPP(c_COMBC(_u18760, _u18762, _u18762), _u18764), hAPP(_u18765, _u18767)), _u18761) = hAPP(_u18765, hAPP(c_List_Ofoldl(_u18763, _u18760, hAPP(c_COMBC(_u18760, _u18763, _u18763), _u18766), _u18767), _u18761))) | hBOOL(hAPP(hAPP(c_member(_u18760), skolem473(_u18767, _u18766, _u18765, _u18764, _u18763, _u18762, _u18761, _u18760)), hAPP(c_List_Oset(_u18760), _u18761))) )).
% 20.36/20.63 cnf(matrix-7686, plain, ( ( hAPP(c_List_Ofoldl(_u18762, _u18760, hAPP(c_COMBC(_u18760, _u18762, _u18762), _u18764), hAPP(_u18765, _u18767)), _u18761) = hAPP(_u18765, hAPP(c_List_Ofoldl(_u18763, _u18760, hAPP(c_COMBC(_u18760, _u18763, _u18763), _u18766), _u18767), _u18761))) | ( hAPP(c_Fun_Ocomp(_u18762, _u18762, _u18763, hAPP(_u18764, skolem473(_u18767, _u18766, _u18765, _u18764, _u18763, _u18762, _u18761, _u18760))), _u18765) != hAPP(c_Fun_Ocomp(_u18763, _u18762, _u18763, _u18765), hAPP(_u18766, skolem473(_u18767, _u18766, _u18765, _u18764, _u18763, _u18762, _u18761, _u18760)))) )).
% 20.36/20.63 cnf(matrix-7687, plain, ( ~class_Orderings_Oorder(_u18768) | ~class_Enum_Oenum(_u18769) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u18769, _u18768)), _u18770), _u18771)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18769, _u18768)), _u18770), _u18771)) )).
% 20.36/20.63 cnf(matrix-7688, plain, ( ~class_Orderings_Oorder(_u18768) | ~class_Enum_Oenum(_u18769) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u18769, _u18768)), _u18770), _u18771)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18769), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18769), c_fNot), hAPP(hAPP(c_COMBS(_u18769, _u18768, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18768, tc_fun(_u18768, tc_HOL_Obool), _u18769), c_fequal), _u18770)), _u18771)))) )).
% 20.36/20.63 cnf(matrix-7689, plain, ( ~class_Orderings_Oorder(_u18768) | ~class_Enum_Oenum(_u18769) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18769, _u18768)), _u18770), _u18771)) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18769), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18769), c_fNot), hAPP(hAPP(c_COMBS(_u18769, _u18768, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18768, tc_fun(_u18768, tc_HOL_Obool), _u18769), c_fequal), _u18770)), _u18771)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u18769, _u18768)), _u18770), _u18771)) )).
% 20.36/20.63 cnf(matrix-7690, plain, ( ~class_Enum_Oenum(_u18772) | ~class_Enum_Oenum(_u18773) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(_u18773, _u18772)), _u18774)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18773), hAPP(hAPP(c_COMBB(tc_fun(_u18772, tc_HOL_Obool), tc_HOL_Obool, _u18773), c_Enum_Oenum__class_Oenum__ex(_u18772)), hAPP(hAPP(c_COMBB(tc_fun(_u18772, tc_prod(_u18773, _u18772)), tc_fun(_u18772, tc_HOL_Obool), _u18773), hAPP(c_COMBB(tc_prod(_u18773, _u18772), tc_HOL_Obool, _u18772), _u18774)), c_Product__Type_OPair(_u18773, _u18772))))) )).
% 20.36/20.63 cnf(matrix-7691, plain, ( ~class_Enum_Oenum(_u18772) | ~class_Enum_Oenum(_u18773) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18773), hAPP(hAPP(c_COMBB(tc_fun(_u18772, tc_HOL_Obool), tc_HOL_Obool, _u18773), c_Enum_Oenum__class_Oenum__ex(_u18772)), hAPP(hAPP(c_COMBB(tc_fun(_u18772, tc_prod(_u18773, _u18772)), tc_fun(_u18772, tc_HOL_Obool), _u18773), hAPP(c_COMBB(tc_prod(_u18773, _u18772), tc_HOL_Obool, _u18772), _u18774)), c_Product__Type_OPair(_u18773, _u18772))))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(_u18773, _u18772)), _u18774)) )).
% 20.36/20.63 cnf(matrix-7692, plain, ( ~class_Enum_Oenum(_u18777) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18777), _u18778)) | hBOOL(hAPP(_u18778, skolem474(_u18778, _u18777))) )).
% 20.36/20.63 cnf(matrix-7693, plain, ( ~class_Enum_Oenum(_u18777) | ~hBOOL(hAPP(_u18778, _u18776)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18777), _u18778)) )).
% 20.36/20.63 cnf(matrix-7694, plain, ( ~class_Enum_Oenum(_u18781) | ~hBOOL(hAPP(_u18782, _u18779)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18781), _u18782)) )).
% 20.36/20.63 cnf(matrix-7695, plain, ( ~class_Enum_Oenum(_u18781) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18781), _u18782)) | hBOOL(hAPP(_u18782, skolem475(_u18782, _u18781))) )).
% 20.36/20.63 cnf(matrix-7696, plain, ( hBOOL(hAPP(_u18787, hAPP(hAPP(c_List_Ozip(_u18783, _u18785), _u18784), _u18786))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18783)), hAPP(hAPP(c_List_Otake(_u18783), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18783)), _u18784)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18785)), _u18786))), _u18784)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18785)), hAPP(hAPP(c_List_Otake(_u18785), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18783)), _u18784)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18785)), _u18786))), _u18786))) )).
% 20.36/20.63 cnf(matrix-7697, plain, ( hBOOL(hAPP(_u18787, hAPP(hAPP(c_List_Ozip(_u18783, _u18785), _u18784), _u18786))) | ~hBOOL(hAPP(_u18787, hAPP(hAPP(c_List_Ozip(_u18783, _u18785), hAPP(hAPP(c_List_Otake(_u18783), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18783)), _u18784)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18785)), _u18786))), _u18784)), hAPP(hAPP(c_List_Otake(_u18785), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18783)), _u18784)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18785)), _u18786))), _u18786)))) )).
% 20.36/20.63 cnf(matrix-7698, plain, ( ( c_New__Random__Sequence_Opos__not__random__dseq(_u18788, _u18789, _u18790, _u18791) = c_New__DSequence_Opos__not__seq(hAPP(hAPP(hAPP(_u18788, _u18789), _u18790), _u18791))) )).
% 20.36/20.63 cnf(matrix-7699, plain, ( ( c_List_OdropWhile(_u18793, _u18795, hAPP(hAPP(c_List_Oappend(_u18793), _u18794), _u18796)) = c_List_OdropWhile(_u18793, _u18795, _u18796)) | hBOOL(hAPP(hAPP(c_member(_u18793), skolem476(_u18796, _u18795, _u18794, _u18793)), hAPP(c_List_Oset(_u18793), _u18794))) )).
% 20.36/20.63 cnf(matrix-7700, plain, ( ( c_List_OdropWhile(_u18793, _u18795, hAPP(hAPP(c_List_Oappend(_u18793), _u18794), _u18796)) = c_List_OdropWhile(_u18793, _u18795, _u18796)) | ~hBOOL(hAPP(_u18795, skolem476(_u18796, _u18795, _u18794, _u18793))) )).
% 20.36/20.63 cnf(matrix-7701, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18798)), _u18799) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18800)), _u18801)) | c_List_Olist__all2(_u18798, _u18800, _u18802, _u18799, _u18801) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem477(_u18802, _u18801, _u18800, _u18799, _u18798)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18798)), _u18799))) )).
% 20.36/20.63 cnf(matrix-7702, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18798)), _u18799) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18800)), _u18801)) | c_List_Olist__all2(_u18798, _u18800, _u18802, _u18799, _u18801) | ~hBOOL(hAPP(hAPP(_u18802, hAPP(hAPP(c_List_Onth(_u18798), _u18799), skolem477(_u18802, _u18801, _u18800, _u18799, _u18798))), hAPP(hAPP(c_List_Onth(_u18800), _u18801), skolem477(_u18802, _u18801, _u18800, _u18799, _u18798)))) )).
% 20.36/20.63 cnf(matrix-7703, plain, ( ~class_Orderings_Olinorder(_u18805) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18805), _u18806)) | ( hAPP(c_List_Oset(_u18805), skolem478(_u18806, _u18805)) = _u18806) )).
% 20.36/20.63 cnf(matrix-7704, plain, ( ~class_Orderings_Olinorder(_u18805) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18805), _u18806)) | c_List_Olinorder__class_Osorted(_u18805, skolem478(_u18806, _u18805)) )).
% 20.36/20.63 cnf(matrix-7705, plain, ( ~class_Orderings_Olinorder(_u18805) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18805), _u18806)) | hBOOL(hAPP(c_List_Odistinct(_u18805), skolem478(_u18806, _u18805))) )).
% 20.36/20.63 cnf(matrix-7706, plain, ( ~class_Orderings_Olinorder(_u18805) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18805), _u18806)) | ( hAPP(c_List_Oset(_u18805), _u18803) != _u18806) | ~c_List_Olinorder__class_Osorted(_u18805, _u18803) | ~hBOOL(hAPP(c_List_Odistinct(_u18805), _u18803)) | ( _u18803 = skolem478(_u18806, _u18805)) )).
% 20.36/20.63 cnf(matrix-7707, plain, ( ( c_List_OtakeWhile(_u18808, _u18810, hAPP(hAPP(c_List_Oappend(_u18808), _u18809), _u18811)) = hAPP(hAPP(c_List_Oappend(_u18808), _u18809), c_List_OtakeWhile(_u18808, _u18810, _u18811))) | hBOOL(hAPP(hAPP(c_member(_u18808), skolem479(_u18811, _u18810, _u18809, _u18808)), hAPP(c_List_Oset(_u18808), _u18809))) )).
% 20.36/20.63 cnf(matrix-7708, plain, ( ( c_List_OtakeWhile(_u18808, _u18810, hAPP(hAPP(c_List_Oappend(_u18808), _u18809), _u18811)) = hAPP(hAPP(c_List_Oappend(_u18808), _u18809), c_List_OtakeWhile(_u18808, _u18810, _u18811))) | ~hBOOL(hAPP(_u18810, skolem479(_u18811, _u18810, _u18809, _u18808))) )).
% 20.36/20.63 cnf(matrix-7709, plain, ( ~class_Orderings_Olinorder(_u18813) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18814, _u18813, _u18816), _u18817), _u18815) = hAPP(hAPP(c_List_Olist_OCons(_u18814), _u18817), _u18815)) | hBOOL(hAPP(hAPP(c_member(_u18814), skolem480(_u18817, _u18816, _u18815, _u18814, _u18813)), hAPP(c_List_Oset(_u18814), _u18815))) )).
% 20.36/20.63 cnf(matrix-7710, plain, ( ~class_Orderings_Olinorder(_u18813) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18814, _u18813, _u18816), _u18817), _u18815) = hAPP(hAPP(c_List_Olist_OCons(_u18814), _u18817), _u18815)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18813), hAPP(_u18816, _u18817)), hAPP(_u18816, skolem480(_u18817, _u18816, _u18815, _u18814, _u18813)))) )).
% 20.36/20.63 cnf(matrix-7711, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18829), _u18831), _u18833) != hAPP(c_List_Ofilter(_u18829, _u18835), _u18837)) | hBOOL(hAPP(_u18835, _u18831)) )).
% 20.36/20.63 cnf(matrix-7712, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18829), _u18831), _u18833) != hAPP(c_List_Ofilter(_u18829, _u18835), _u18837)) | ~hBOOL(hAPP(hAPP(c_member(_u18829), _u18818), hAPP(c_List_Oset(_u18829), skolem481(_u18837, _u18835, _u18833, _u18831, _u18829)))) | ~hBOOL(hAPP(_u18835, _u18818)) )).
% 20.36/20.63 cnf(matrix-7713, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18829), _u18831), _u18833) != hAPP(c_List_Ofilter(_u18829, _u18835), _u18837)) | ( _u18837 = hAPP(hAPP(c_List_Oappend(_u18829), skolem481(_u18837, _u18835, _u18833, _u18831, _u18829)), hAPP(hAPP(c_List_Olist_OCons(_u18829), _u18831), skolem482(_u18837, _u18835, _u18833, _u18831, _u18829)))) )).
% 20.36/20.63 cnf(matrix-7714, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18829), _u18831), _u18833) != hAPP(c_List_Ofilter(_u18829, _u18835), _u18837)) | ( _u18833 = hAPP(c_List_Ofilter(_u18829, _u18835), skolem482(_u18837, _u18835, _u18833, _u18831, _u18829))) )).
% 20.36/20.63 cnf(matrix-7715, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18830), _u18832), _u18834) = hAPP(c_List_Ofilter(_u18830, _u18836), _u18838)) | ~hBOOL(hAPP(_u18836, _u18832)) | ( _u18838 != hAPP(hAPP(c_List_Oappend(_u18830), _u18823), hAPP(hAPP(c_List_Olist_OCons(_u18830), _u18832), _u18822))) | ( _u18834 != hAPP(c_List_Ofilter(_u18830, _u18836), _u18822)) | hBOOL(hAPP(hAPP(c_member(_u18830), skolem483(_u18838, _u18836, _u18834, _u18832, _u18830, _u18823)), hAPP(c_List_Oset(_u18830), _u18823))) )).
% 20.36/20.63 cnf(matrix-7716, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18830), _u18832), _u18834) = hAPP(c_List_Ofilter(_u18830, _u18836), _u18838)) | ~hBOOL(hAPP(_u18836, _u18832)) | ( _u18838 != hAPP(hAPP(c_List_Oappend(_u18830), _u18823), hAPP(hAPP(c_List_Olist_OCons(_u18830), _u18832), _u18822))) | ( _u18834 != hAPP(c_List_Ofilter(_u18830, _u18836), _u18822)) | hBOOL(hAPP(_u18836, skolem483(_u18838, _u18836, _u18834, _u18832, _u18830, _u18823))) )).
% 20.36/20.63 cnf(matrix-7717, plain, ( ( hAPP(c_List_Ofilter(_u18850, _u18852), _u18854) != hAPP(hAPP(c_List_Olist_OCons(_u18850), _u18856), _u18858)) | hBOOL(hAPP(_u18852, _u18856)) )).
% 20.36/20.63 cnf(matrix-7718, plain, ( ( hAPP(c_List_Ofilter(_u18850, _u18852), _u18854) != hAPP(hAPP(c_List_Olist_OCons(_u18850), _u18856), _u18858)) | ~hBOOL(hAPP(hAPP(c_member(_u18850), _u18839), hAPP(c_List_Oset(_u18850), skolem484(_u18858, _u18856, _u18854, _u18852, _u18850)))) | ~hBOOL(hAPP(_u18852, _u18839)) )).
% 20.36/20.63 cnf(matrix-7719, plain, ( ( hAPP(c_List_Ofilter(_u18850, _u18852), _u18854) != hAPP(hAPP(c_List_Olist_OCons(_u18850), _u18856), _u18858)) | ( _u18854 = hAPP(hAPP(c_List_Oappend(_u18850), skolem484(_u18858, _u18856, _u18854, _u18852, _u18850)), hAPP(hAPP(c_List_Olist_OCons(_u18850), _u18856), skolem485(_u18858, _u18856, _u18854, _u18852, _u18850)))) )).
% 20.36/20.63 cnf(matrix-7720, plain, ( ( hAPP(c_List_Ofilter(_u18850, _u18852), _u18854) != hAPP(hAPP(c_List_Olist_OCons(_u18850), _u18856), _u18858)) | ( _u18858 = hAPP(c_List_Ofilter(_u18850, _u18852), skolem485(_u18858, _u18856, _u18854, _u18852, _u18850))) )).
% 20.36/20.63 cnf(matrix-7721, plain, ( ( hAPP(c_List_Ofilter(_u18851, _u18853), _u18855) = hAPP(hAPP(c_List_Olist_OCons(_u18851), _u18857), _u18859)) | ~hBOOL(hAPP(_u18853, _u18857)) | ( _u18855 != hAPP(hAPP(c_List_Oappend(_u18851), _u18844), hAPP(hAPP(c_List_Olist_OCons(_u18851), _u18857), _u18843))) | ( _u18859 != hAPP(c_List_Ofilter(_u18851, _u18853), _u18843)) | hBOOL(hAPP(hAPP(c_member(_u18851), skolem486(_u18859, _u18857, _u18855, _u18853, _u18851, _u18844)), hAPP(c_List_Oset(_u18851), _u18844))) )).
% 20.36/20.63 cnf(matrix-7722, plain, ( ( hAPP(c_List_Ofilter(_u18851, _u18853), _u18855) = hAPP(hAPP(c_List_Olist_OCons(_u18851), _u18857), _u18859)) | ~hBOOL(hAPP(_u18853, _u18857)) | ( _u18855 != hAPP(hAPP(c_List_Oappend(_u18851), _u18844), hAPP(hAPP(c_List_Olist_OCons(_u18851), _u18857), _u18843))) | ( _u18859 != hAPP(c_List_Ofilter(_u18851, _u18853), _u18843)) | hBOOL(hAPP(_u18853, skolem486(_u18859, _u18857, _u18855, _u18853, _u18851, _u18844))) )).
% 20.36/20.63 cnf(matrix-7723, plain, ( ~class_Orderings_Oorder(_u18860) | ~class_Enum_Oenum(_u18861) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18861, _u18860)), _u18862), _u18863)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18861), hAPP(hAPP(c_COMBS(_u18861, _u18860, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18860, tc_fun(_u18860, tc_HOL_Obool), _u18861), c_Orderings_Oord__class_Oless__eq(_u18860)), _u18862)), _u18863))) )).
% 20.36/20.63 cnf(matrix-7724, plain, ( ~class_Orderings_Oorder(_u18860) | ~class_Enum_Oenum(_u18861) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18861), hAPP(hAPP(c_COMBS(_u18861, _u18860, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18860, tc_fun(_u18860, tc_HOL_Obool), _u18861), c_Orderings_Oord__class_Oless__eq(_u18860)), _u18862)), _u18863))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18861, _u18860)), _u18862), _u18863)) )).
% 20.36/20.63 cnf(matrix-7725, plain, ( ~class_Enum_Oenum(_u18866) | ~hBOOL(hAPP(_u18867, skolem487(_u18867, _u18866))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18866), _u18867)) )).
% 20.36/20.63 cnf(matrix-7726, plain, ( ~class_Enum_Oenum(_u18866) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18866), _u18867)) | hBOOL(hAPP(_u18867, _u18865)) )).
% 20.36/20.63 cnf(matrix-7727, plain, ( ~class_Enum_Oenum(_u18870) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18870), _u18871)) | hBOOL(hAPP(_u18871, _u18868)) )).
% 20.36/20.63 cnf(matrix-7728, plain, ( ~class_Enum_Oenum(_u18870) | ~hBOOL(hAPP(_u18871, skolem488(_u18871, _u18870))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18870), _u18871)) )).
% 20.36/20.63 cnf(matrix-7729, plain, ( ~class_Enum_Oenum(_u18872) | ~class_Enum_Oenum(_u18873) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(_u18873, _u18872)), _u18874)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18873), hAPP(hAPP(c_COMBB(tc_fun(_u18872, tc_HOL_Obool), tc_HOL_Obool, _u18873), c_Enum_Oenum__class_Oenum__all(_u18872)), hAPP(hAPP(c_COMBB(tc_fun(_u18872, tc_prod(_u18873, _u18872)), tc_fun(_u18872, tc_HOL_Obool), _u18873), hAPP(c_COMBB(tc_prod(_u18873, _u18872), tc_HOL_Obool, _u18872), _u18874)), c_Product__Type_OPair(_u18873, _u18872))))) )).
% 20.36/20.63 cnf(matrix-7730, plain, ( ~class_Enum_Oenum(_u18872) | ~class_Enum_Oenum(_u18873) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18873), hAPP(hAPP(c_COMBB(tc_fun(_u18872, tc_HOL_Obool), tc_HOL_Obool, _u18873), c_Enum_Oenum__class_Oenum__all(_u18872)), hAPP(hAPP(c_COMBB(tc_fun(_u18872, tc_prod(_u18873, _u18872)), tc_fun(_u18872, tc_HOL_Obool), _u18873), hAPP(c_COMBB(tc_prod(_u18873, _u18872), tc_HOL_Obool, _u18872), _u18874)), c_Product__Type_OPair(_u18873, _u18872))))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(_u18873, _u18872)), _u18874)) )).
% 20.36/20.63 cnf(matrix-7731, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18876), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18877)), _u18878))) | hBOOL(hAPP(_u18879, hAPP(hAPP(c_List_Onth(_u18877), _u18878), _u18876))) | hBOOL(hAPP(hAPP(c_member(_u18877), skolem489(_u18879, _u18878, _u18877, _u18876)), hAPP(c_List_Oset(_u18877), _u18878))) )).
% 20.36/20.63 cnf(matrix-7732, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18876), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18877)), _u18878))) | hBOOL(hAPP(_u18879, hAPP(hAPP(c_List_Onth(_u18877), _u18878), _u18876))) | ~hBOOL(hAPP(_u18879, skolem489(_u18879, _u18878, _u18877, _u18876))) )).
% 20.36/20.63 cnf(matrix-7733, plain, ( ~class_Orderings_Olinorder(_u18881) | ~c_List_Olinorder__class_Osorted(_u18881, _u18882) | c_List_Olinorder__class_Osorted(_u18881, hAPP(hAPP(c_List_Olist_OCons(_u18881), _u18883), _u18882)) | hBOOL(hAPP(hAPP(c_member(_u18881), skolem490(_u18883, _u18882, _u18881)), hAPP(c_List_Oset(_u18881), _u18882))) )).
% 20.36/20.63 cnf(matrix-7734, plain, ( ~class_Orderings_Olinorder(_u18881) | ~c_List_Olinorder__class_Osorted(_u18881, _u18882) | c_List_Olinorder__class_Osorted(_u18881, hAPP(hAPP(c_List_Olist_OCons(_u18881), _u18883), _u18882)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18881), _u18883), skolem490(_u18883, _u18882, _u18881))) )).
% 20.36/20.63 cnf(matrix-7735, plain, ( ~c_List_Olist__ex(_u18889, _u18891, _u18893) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem491(_u18893, _u18891, _u18889)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18889)), _u18893))) )).
% 20.36/20.63 cnf(matrix-7736, plain, ( ~c_List_Olist__ex(_u18889, _u18891, _u18893) | hBOOL(hAPP(_u18891, hAPP(hAPP(c_List_Onth(_u18889), _u18893), skolem491(_u18893, _u18891, _u18889)))) )).
% 20.36/20.63 cnf(matrix-7737, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18885), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18890)), _u18894))) | ~hBOOL(hAPP(_u18892, hAPP(hAPP(c_List_Onth(_u18890), _u18894), _u18885))) | c_List_Olist__ex(_u18890, _u18892, _u18894) )).
% 20.36/20.63 cnf(matrix-7738, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18902), _u18904), hAPP(c_List_Oset(_u18902), _u18906))) | ( _u18906 = hAPP(hAPP(c_List_Oappend(_u18902), skolem492(_u18906, _u18904, _u18902)), hAPP(hAPP(c_List_Olist_OCons(_u18902), _u18904), skolem493(_u18906, _u18904, _u18902)))) )).
% 20.36/20.63 cnf(matrix-7739, plain, ( ( _u18907 != hAPP(hAPP(c_List_Oappend(_u18903), _u18898), hAPP(hAPP(c_List_Olist_OCons(_u18903), _u18905), _u18897))) | hBOOL(hAPP(hAPP(c_member(_u18903), _u18905), hAPP(c_List_Oset(_u18903), _u18907))) )).
% 20.36/20.63 cnf(matrix-7740, plain, ( ~c_List_Olist__ex(_u18908, _u18909, c_List_Olist_ONil(_u18908)) )).
% 20.36/20.63 cnf(matrix-7741, plain, ( ~c_List_Olist__ex(_u18914, _u18916, hAPP(hAPP(c_List_Oappend(_u18914), _u18918), _u18920)) | c_List_Olist__ex(_u18914, _u18916, _u18918) | c_List_Olist__ex(_u18914, _u18916, _u18920) )).
% 20.36/20.63 cnf(matrix-7742, plain, ( c_List_Olist__ex(_u18915, _u18917, hAPP(hAPP(c_List_Oappend(_u18915), _u18919), _u18921)) | ~c_List_Olist__ex(_u18915, _u18917, _u18919) )).
% 20.36/20.63 cnf(matrix-7743, plain, ( c_List_Olist__ex(_u18915, _u18917, hAPP(hAPP(c_List_Oappend(_u18915), _u18919), _u18921)) | ~c_List_Olist__ex(_u18915, _u18917, _u18921) )).
% 20.36/20.63 cnf(matrix-7744, plain, ( ~c_List_Olist__ex(_u18927, _u18929, _u18931) | hBOOL(hAPP(hAPP(c_member(_u18927), skolem494(_u18931, _u18929, _u18927)), hAPP(c_List_Oset(_u18927), _u18931))) )).
% 20.36/20.63 cnf(matrix-7745, plain, ( ~c_List_Olist__ex(_u18927, _u18929, _u18931) | hBOOL(hAPP(_u18929, skolem494(_u18931, _u18929, _u18927))) )).
% 20.36/20.63 cnf(matrix-7746, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18928), _u18923), hAPP(c_List_Oset(_u18928), _u18932))) | ~hBOOL(hAPP(_u18930, _u18923)) | c_List_Olist__ex(_u18928, _u18930, _u18932) )).
% 20.36/20.63 cnf(matrix-7747, plain, ( ~c_List_Olist__ex(_u18936, _u18938, hAPP(c_List_Orev(_u18936), _u18940)) | c_List_Olist__ex(_u18936, _u18938, _u18940) )).
% 20.36/20.63 cnf(matrix-7748, plain, ( ~c_List_Olist__ex(_u18937, _u18939, _u18941) | c_List_Olist__ex(_u18937, _u18939, hAPP(c_List_Orev(_u18937), _u18941)) )).
% 20.36/20.63 cnf(matrix-7749, plain, ( ~c_List_Olist__ex(_u18946, _u18948, hAPP(hAPP(c_List_Olist_OCons(_u18946), _u18950), _u18952)) | hBOOL(hAPP(_u18948, _u18950)) | c_List_Olist__ex(_u18946, _u18948, _u18952) )).
% 20.36/20.63 cnf(matrix-7750, plain, ( c_List_Olist__ex(_u18947, _u18949, hAPP(hAPP(c_List_Olist_OCons(_u18947), _u18951), _u18953)) | ~hBOOL(hAPP(_u18949, _u18951)) )).
% 20.36/20.63 cnf(matrix-7751, plain, ( c_List_Olist__ex(_u18947, _u18949, hAPP(hAPP(c_List_Olist_OCons(_u18947), _u18951), _u18953)) | ~c_List_Olist__ex(_u18947, _u18949, _u18953) )).
% 20.36/20.63 cnf(matrix-7752, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18961), _u18963), hAPP(c_List_Oset(_u18961), _u18965))) | ( _u18965 = hAPP(hAPP(c_List_Oappend(_u18961), skolem495(_u18965, _u18963, _u18961)), hAPP(hAPP(c_List_Olist_OCons(_u18961), _u18963), skolem496(_u18965, _u18963, _u18961)))) )).
% 20.36/20.63 cnf(matrix-7753, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18961), _u18963), hAPP(c_List_Oset(_u18961), _u18965))) | ~hBOOL(hAPP(hAPP(c_member(_u18961), _u18963), hAPP(c_List_Oset(_u18961), skolem495(_u18965, _u18963, _u18961)))) )).
% 20.36/20.63 cnf(matrix-7754, plain, ( ( _u18966 != hAPP(hAPP(c_List_Oappend(_u18962), _u18957), hAPP(hAPP(c_List_Olist_OCons(_u18962), _u18964), _u18956))) | hBOOL(hAPP(hAPP(c_member(_u18962), _u18964), hAPP(c_List_Oset(_u18962), _u18957))) | hBOOL(hAPP(hAPP(c_member(_u18962), _u18964), hAPP(c_List_Oset(_u18962), _u18966))) )).
% 20.36/20.63 cnf(matrix-7755, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18974), _u18976), hAPP(c_List_Oset(_u18974), _u18978))) | ( _u18978 = hAPP(hAPP(c_List_Oappend(_u18974), skolem497(_u18978, _u18976, _u18974)), hAPP(hAPP(c_List_Olist_OCons(_u18974), _u18976), skolem498(_u18978, _u18976, _u18974)))) )).
% 20.36/20.63 cnf(matrix-7756, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18974), _u18976), hAPP(c_List_Oset(_u18974), _u18978))) | ~hBOOL(hAPP(hAPP(c_member(_u18974), _u18976), hAPP(c_List_Oset(_u18974), skolem498(_u18978, _u18976, _u18974)))) )).
% 20.36/20.63 cnf(matrix-7757, plain, ( ( _u18979 != hAPP(hAPP(c_List_Oappend(_u18975), _u18970), hAPP(hAPP(c_List_Olist_OCons(_u18975), _u18977), _u18969))) | hBOOL(hAPP(hAPP(c_member(_u18975), _u18977), hAPP(c_List_Oset(_u18975), _u18969))) | hBOOL(hAPP(hAPP(c_member(_u18975), _u18977), hAPP(c_List_Oset(_u18975), _u18979))) )).
% 20.36/20.63 cnf(matrix-7758, plain, ( ~c_List_Olist__all(_u18985, _u18987, _u18989) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18980), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18985)), _u18989))) | hBOOL(hAPP(_u18987, hAPP(hAPP(c_List_Onth(_u18985), _u18989), _u18980))) )).
% 20.36/20.63 cnf(matrix-7759, plain, ( c_List_Olist__all(_u18986, _u18988, _u18990) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem499(_u18990, _u18988, _u18986)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18986)), _u18990))) )).
% 20.36/20.63 cnf(matrix-7760, plain, ( c_List_Olist__all(_u18986, _u18988, _u18990) | ~hBOOL(hAPP(_u18988, hAPP(hAPP(c_List_Onth(_u18986), _u18990), skolem499(_u18990, _u18988, _u18986)))) )).
% 20.36/20.63 cnf(matrix-7761, 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))) )).
% 20.36/20.63 cnf(matrix-7762, plain, ( c_List_Olist__all(_u18991, _u18992, c_List_Olist_ONil(_u18991)) )).
% 20.36/20.63 cnf(matrix-7763, plain, ( ~c_List_Olist__all(_u18997, _u18999, hAPP(hAPP(c_List_Oappend(_u18997), _u19001), _u19003)) | c_List_Olist__all(_u18997, _u18999, _u19001) )).
% 20.36/20.63 cnf(matrix-7764, plain, ( ~c_List_Olist__all(_u18997, _u18999, hAPP(hAPP(c_List_Oappend(_u18997), _u19001), _u19003)) | c_List_Olist__all(_u18997, _u18999, _u19003) )).
% 20.36/20.63 cnf(matrix-7765, plain, ( ~c_List_Olist__all(_u18998, _u19000, _u19002) | ~c_List_Olist__all(_u18998, _u19000, _u19004) | c_List_Olist__all(_u18998, _u19000, hAPP(hAPP(c_List_Oappend(_u18998), _u19002), _u19004)) )).
% 20.36/20.63 cnf(matrix-7766, plain, ( ~class_Nat_Osize(_u19005) | c_FunDef_Ois__measure(_u19005, c_Nat_Osize__class_Osize(_u19005)) )).
% 20.36/20.63 cnf(matrix-7767, plain, ( c_FunDef_Ois__measure(_u19006, _u19007) )).
% 20.36/20.63 cnf(matrix-7768, plain, ( c_FunDef_Ois__measure(_u19008, _u19009) )).
% 20.36/20.63 cnf(matrix-7769, plain, ( c_FunDef_Ois__measure(_u19010, _u19011) )).
% 20.36/20.63 cnf(matrix-7770, plain, ( ~c_List_Olist__all(_u19017, _u19019, _u19021) | ~hBOOL(hAPP(hAPP(c_member(_u19017), _u19012), hAPP(c_List_Oset(_u19017), _u19021))) | hBOOL(hAPP(_u19019, _u19012)) )).
% 20.36/20.63 cnf(matrix-7771, plain, ( c_List_Olist__all(_u19018, _u19020, _u19022) | hBOOL(hAPP(hAPP(c_member(_u19018), skolem500(_u19022, _u19020, _u19018)), hAPP(c_List_Oset(_u19018), _u19022))) )).
% 20.36/20.63 cnf(matrix-7772, plain, ( c_List_Olist__all(_u19018, _u19020, _u19022) | ~hBOOL(hAPP(_u19020, skolem500(_u19022, _u19020, _u19018))) )).
% 20.36/20.63 cnf(matrix-7773, plain, ( ~c_FunDef_Ois__measure(_u19023, _u19024) | c_FunDef_Ois__measure(tc_prod(_u19023, _u19025), hAPP(hAPP(c_COMBB(_u19023, tc_Nat_Onat, tc_prod(_u19023, _u19025)), _u19024), c_Product__Type_Ofst(_u19023, _u19025))) )).
% 20.36/20.63 cnf(matrix-7774, plain, ( ~c_FunDef_Ois__measure(_u19026, _u19027) | c_FunDef_Ois__measure(tc_prod(_u19028, _u19026), hAPP(hAPP(c_COMBB(_u19026, tc_Nat_Onat, tc_prod(_u19028, _u19026)), _u19027), c_Product__Type_Osnd(_u19028, _u19026))) )).
% 20.36/20.63 cnf(matrix-7775, plain, ( ~c_List_Olist__all(_u19032, _u19034, hAPP(c_List_Orev(_u19032), _u19036)) | c_List_Olist__all(_u19032, _u19034, _u19036) )).
% 20.36/20.63 cnf(matrix-7776, plain, ( ~c_List_Olist__all(_u19033, _u19035, _u19037) | c_List_Olist__all(_u19033, _u19035, hAPP(c_List_Orev(_u19033), _u19037)) )).
% 20.36/20.63 cnf(matrix-7777, plain, ( ~c_List_Olist__all(_u19042, _u19044, hAPP(hAPP(c_List_Olist_OCons(_u19042), _u19046), _u19048)) | hBOOL(hAPP(_u19044, _u19046)) )).
% 20.36/20.63 cnf(matrix-7778, plain, ( ~c_List_Olist__all(_u19042, _u19044, hAPP(hAPP(c_List_Olist_OCons(_u19042), _u19046), _u19048)) | c_List_Olist__all(_u19042, _u19044, _u19048) )).
% 20.36/20.63 cnf(matrix-7779, plain, ( ~hBOOL(hAPP(_u19045, _u19047)) | ~c_List_Olist__all(_u19043, _u19045, _u19049) | c_List_Olist__all(_u19043, _u19045, hAPP(hAPP(c_List_Olist_OCons(_u19043), _u19047), _u19049)) )).
% 20.36/20.63 cnf(matrix-7780, plain, ( c_List_Olist__all(_u19055, _u19059, _u19057) | hBOOL(hAPP(hAPP(c_member(_u19055), skolem501(_u19059, _u19057, _u19055)), hAPP(c_List_Oset(_u19055), _u19057))) )).
% 20.36/20.63 cnf(matrix-7781, plain, ( c_List_Olist__all(_u19055, _u19059, _u19057) | ~hBOOL(hAPP(_u19059, skolem501(_u19059, _u19057, _u19055))) )).
% 20.36/20.63 cnf(matrix-7782, plain, ( ~c_List_Olist__all(_u19056, _u19060, _u19058) | ~hBOOL(hAPP(hAPP(c_member(_u19056), _u19051), hAPP(c_List_Oset(_u19056), _u19058))) | hBOOL(hAPP(_u19060, _u19051)) )).
% 20.36/20.63 cnf(matrix-7783, plain, ( ~c_List_Olist__all(_u19066, _u19068, _u19070) | ~hBOOL(hAPP(hAPP(c_member(_u19066), _u19061), hAPP(c_List_Oset(_u19066), _u19070))) | hBOOL(hAPP(_u19068, _u19061)) )).
% 20.36/20.63 cnf(matrix-7784, plain, ( c_List_Olist__all(_u19067, _u19069, _u19071) | hBOOL(hAPP(hAPP(c_member(_u19067), skolem502(_u19071, _u19069, _u19067)), hAPP(c_List_Oset(_u19067), _u19071))) )).
% 20.36/20.63 cnf(matrix-7785, plain, ( c_List_Olist__all(_u19067, _u19069, _u19071) | ~hBOOL(hAPP(_u19069, skolem502(_u19071, _u19069, _u19067))) )).
% 20.36/20.63 cnf(matrix-7786, plain, ( ~c_List_Olist__ex1(_u19076, _u19078, hAPP(hAPP(c_List_Olist_OCons(_u19076), _u19080), _u19082)) | ~hBOOL(hAPP(_u19078, _u19080)) | c_List_Olist__all(_u19076, hAPP(hAPP(c_COMBS(_u19076, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19076), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19076), c_fNot), _u19078))), hAPP(c_fequal, _u19080)), _u19082) )).
% 20.36/20.63 cnf(matrix-7787, plain, ( ~c_List_Olist__ex1(_u19076, _u19078, hAPP(hAPP(c_List_Olist_OCons(_u19076), _u19080), _u19082)) | hBOOL(hAPP(_u19078, _u19080)) | c_List_Olist__ex1(_u19076, _u19078, _u19082) )).
% 20.36/20.63 cnf(matrix-7788, plain, ( c_List_Olist__ex1(_u19077, _u19079, hAPP(hAPP(c_List_Olist_OCons(_u19077), _u19081), _u19083)) | hBOOL(hAPP(_u19079, _u19081)) | ~c_List_Olist__ex1(_u19077, _u19079, _u19083) )).
% 20.36/20.63 cnf(matrix-7789, plain, ( c_List_Olist__ex1(_u19077, _u19079, hAPP(hAPP(c_List_Olist_OCons(_u19077), _u19081), _u19083)) | ~c_List_Olist__all(_u19077, hAPP(hAPP(c_COMBS(_u19077, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19077), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19077), c_fNot), _u19079))), hAPP(c_fequal, _u19081)), _u19083) | ~hBOOL(hAPP(_u19079, _u19081)) )).
% 20.36/20.63 cnf(matrix-7790, plain, ( c_List_Olist__ex1(_u19077, _u19079, hAPP(hAPP(c_List_Olist_OCons(_u19077), _u19081), _u19083)) | ~c_List_Olist__all(_u19077, hAPP(hAPP(c_COMBS(_u19077, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19077), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19077), c_fNot), _u19079))), hAPP(c_fequal, _u19081)), _u19083) | ~c_List_Olist__ex1(_u19077, _u19079, _u19083) )).
% 20.36/20.63 cnf(matrix-7791, 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)) )).
% 20.36/20.63 cnf(matrix-7792, plain, ( ~c_List_Olist__ex1(_u19084, _u19085, c_List_Olist_ONil(_u19084)) )).
% 20.36/20.63 cnf(matrix-7793, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool), c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.63 cnf(matrix-7794, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool), c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.63 cnf(matrix-7795, plain, ( ~c_List_Olist__ex1(_u19093, _u19095, _u19097) | hBOOL(hAPP(hAPP(c_member(_u19093), skolem503(_u19097, _u19095, _u19093)), hAPP(c_List_Oset(_u19093), _u19097))) )).
% 20.36/20.63 cnf(matrix-7796, plain, ( ~c_List_Olist__ex1(_u19093, _u19095, _u19097) | hBOOL(hAPP(_u19095, skolem503(_u19097, _u19095, _u19093))) )).
% 20.36/20.63 cnf(matrix-7797, plain, ( ~c_List_Olist__ex1(_u19093, _u19095, _u19097) | ~hBOOL(hAPP(hAPP(c_member(_u19093), _u19086), hAPP(c_List_Oset(_u19093), _u19097))) | ~hBOOL(hAPP(_u19095, _u19086)) | ( _u19086 = skolem503(_u19097, _u19095, _u19093)) )).
% 20.36/20.63 cnf(matrix-7798, plain, ( c_List_Olist__ex1(_u19094, _u19096, _u19098) | ~hBOOL(hAPP(hAPP(c_member(_u19094), _u19089), hAPP(c_List_Oset(_u19094), _u19098))) | ~hBOOL(hAPP(_u19096, _u19089)) | hBOOL(hAPP(hAPP(c_member(_u19094), skolem504(_u19098, _u19096, _u19094, _u19089)), hAPP(c_List_Oset(_u19094), _u19098))) )).
% 20.36/20.63 cnf(matrix-7799, plain, ( c_List_Olist__ex1(_u19094, _u19096, _u19098) | ~hBOOL(hAPP(hAPP(c_member(_u19094), _u19089), hAPP(c_List_Oset(_u19094), _u19098))) | ~hBOOL(hAPP(_u19096, _u19089)) | hBOOL(hAPP(_u19096, skolem504(_u19098, _u19096, _u19094, _u19089))) )).
% 20.36/20.63 cnf(matrix-7800, plain, ( c_List_Olist__ex1(_u19094, _u19096, _u19098) | ~hBOOL(hAPP(hAPP(c_member(_u19094), _u19089), hAPP(c_List_Oset(_u19094), _u19098))) | ~hBOOL(hAPP(_u19096, _u19089)) | ( skolem504(_u19098, _u19096, _u19094, _u19089) != _u19089) )).
% 20.36/20.63 cnf(matrix-7801, plain, ( ( _u19104 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u19106, _u19108, _u19110, _u19112), _u19104) = c_Lazy__Sequence_Ohit__bound(_u19108)) )).
% 20.36/20.63 cnf(matrix-7802, plain, ( ( _u19105 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u19107, _u19109, _u19111, _u19113), _u19105) = c_Lazy__Sequence_Ohb__bind(_u19107, _u19109, hAPP(_u19111, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u19105), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBC(_u19107, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u19109))), _u19113), _u19105))) )).
% 20.36/20.63 cnf(matrix-7803, plain, ( ( _u19119 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u19121, _u19123, _u19125, _u19127), _u19119) = c_Lazy__Sequence_Oempty(_u19123)) )).
% 20.36/20.63 cnf(matrix-7804, plain, ( ( _u19120 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u19122, _u19124, _u19126, _u19128), _u19120) = hAPP(c_Lazy__Sequence_Obind(_u19122, _u19124, hAPP(_u19126, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u19120), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))), hAPP(hAPP(c_COMBC(_u19122, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u19124)), _u19128), _u19120))) )).
% 20.36/20.63 cnf(matrix-7805, plain, ( ( c_New__Random__Sequence_Opos__decr__bind(_u19129, _u19130, _u19131, _u19132, _u19133, _u19134, _u19135) = c_New__DSequence_Opos__decr__bind(_u19129, _u19130, hAPP(hAPP(hAPP(_u19131, _u19133), _u19134), _u19135), hAPP(hAPP(c_COMBC(_u19129, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u19130))), hAPP(hAPP(c_COMBC(_u19129, 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(_u19130)))), hAPP(hAPP(c_COMBC(_u19129, 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(_u19130))))), _u19132), _u19133)), _u19134)), _u19135))) )).
% 20.36/20.63 cnf(matrix-7806, plain, ( ( c_New__Random__Sequence_Oneg__decr__bind(_u19136, _u19137, _u19138, _u19139, _u19140, _u19141, _u19142) = c_New__DSequence_Oneg__decr__bind(_u19136, _u19137, hAPP(hAPP(hAPP(_u19138, _u19140), _u19141), _u19142), hAPP(hAPP(c_COMBC(_u19136, 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(_u19137)))), hAPP(hAPP(c_COMBC(_u19136, 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(_u19137))))), hAPP(hAPP(c_COMBC(_u19136, 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(_u19137)))))), _u19139), _u19140)), _u19141)), _u19142))) )).
% 20.36/20.63 cnf(matrix-7807, plain, ( ( hAPP(c_New__DSequence_Oneg__bind(_u19143, _u19144, _u19145, _u19146), _u19147) = c_Lazy__Sequence_Ohb__bind(_u19143, _u19144, hAPP(_u19145, _u19147), hAPP(hAPP(c_COMBC(_u19143, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u19144))), _u19146), _u19147))) )).
% 20.36/20.63 cnf(matrix-7808, plain, ( ( hAPP(c_New__DSequence_Opos__empty(_u19148), _u19149) = c_Lazy__Sequence_Oempty(_u19148)) )).
% 20.36/20.63 cnf(matrix-7809, plain, ( ( c_New__Random__Sequence_Opos__empty(_u19150, _u19151, _u19152, _u19153) = c_New__DSequence_Opos__empty(_u19150)) )).
% 20.36/20.63 cnf(matrix-7810, plain, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(_u19154, _u19155, _u19156, _u19157), _u19158), _u19159), _u19160) = c_New__DSequence_Oneg__bind(_u19154, _u19155, hAPP(hAPP(hAPP(_u19156, _u19158), _u19159), _u19160), hAPP(hAPP(c_COMBC(_u19154, 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(_u19155)))), hAPP(hAPP(c_COMBC(_u19154, 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(_u19155))))), hAPP(hAPP(c_COMBC(_u19154, 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(_u19155)))))), _u19157), _u19158)), _u19159)), _u19160))) )).
% 20.36/20.63 cnf(matrix-7811, plain, ( ( hAPP(c_New__DSequence_Opos__bind(_u19161, _u19162, _u19163, _u19164), _u19165) = hAPP(c_Lazy__Sequence_Obind(_u19161, _u19162, hAPP(_u19163, _u19165)), hAPP(hAPP(c_COMBC(_u19161, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u19162)), _u19164), _u19165))) )).
% 20.36/20.63 cnf(matrix-7812, plain, ( ( c_New__Random__Sequence_Oneg__map(_u19166, _u19167, _u19168, _u19169) = c_New__Random__Sequence_Oneg__bind(_u19166, _u19167, _u19169, hAPP(c_Fun_Ocomp(_u19167, 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(_u19167)))))), _u19166, c_New__Random__Sequence_Oneg__single(_u19167)), _u19168))) )).
% 20.36/20.63 cnf(matrix-7813, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__single(_u19170), _u19171), _u19172), _u19173), _u19174) = c_New__DSequence_Oneg__single(_u19170, _u19171)) )).
% 20.36/20.63 cnf(matrix-7814, plain, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(_u19175, _u19176, _u19177, _u19178), _u19179), _u19180), _u19181) = c_New__DSequence_Opos__bind(_u19175, _u19176, hAPP(hAPP(hAPP(_u19177, _u19179), _u19180), _u19181), hAPP(hAPP(c_COMBC(_u19175, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u19176))), hAPP(hAPP(c_COMBC(_u19175, 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(_u19176)))), hAPP(hAPP(c_COMBC(_u19175, 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(_u19176))))), _u19178), _u19179)), _u19180)), _u19181))) )).
% 20.36/20.63 cnf(matrix-7815, plain, ( ( hAPP(c_New__DSequence_Oneg__single(_u19182, _u19183), _u19184) = c_Lazy__Sequence_Ohb__single(_u19182, _u19183)) )).
% 20.36/20.63 cnf(matrix-7816, plain, ( ( c_New__Random__Sequence_Opos__map(_u19185, _u19186, _u19187, _u19188) = c_New__Random__Sequence_Opos__bind(_u19185, _u19186, _u19188, hAPP(c_Fun_Ocomp(_u19186, 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(_u19186))))), _u19185, c_New__Random__Sequence_Opos__single(_u19186)), _u19187))) )).
% 20.36/20.63 cnf(matrix-7817, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__single(_u19189), _u19190), _u19191), _u19192), _u19193) = c_New__DSequence_Opos__single(_u19189, _u19190)) )).
% 20.36/20.63 cnf(matrix-7818, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19194)), c_List_Osplice(_u19194, _u19195, _u19196)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19194)), _u19195)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19194)), _u19196))) )).
% 20.36/20.63 cnf(matrix-7819, plain, ( ( c_List_Osplice(_u19197, hAPP(hAPP(c_List_Olist_OCons(_u19197), _u19198), _u19199), hAPP(hAPP(c_List_Olist_OCons(_u19197), _u19200), _u19201)) = hAPP(hAPP(c_List_Olist_OCons(_u19197), _u19198), hAPP(hAPP(c_List_Olist_OCons(_u19197), _u19200), c_List_Osplice(_u19197, _u19199, _u19201)))) )).
% 20.36/20.63 cnf(matrix-7820, plain, ( ( c_List_Osplice(_u19202, c_List_Olist_ONil(_u19202), _u19203) = _u19203) )).
% 20.36/20.63 cnf(matrix-7821, plain, ( ( c_List_Osplice(_u19204, _u19205, c_List_Olist_ONil(_u19204)) = _u19205) )).
% 20.36/20.63 cnf(matrix-7822, plain, ( ( c_List_Osplice(_u19206, hAPP(hAPP(c_List_Olist_OCons(_u19206), _u19207), _u19208), c_List_Olist_ONil(_u19206)) = hAPP(hAPP(c_List_Olist_OCons(_u19206), _u19207), _u19208)) )).
% 20.36/20.63 cnf(matrix-7823, plain, ( ( hAPP(c_New__DSequence_Opos__single(_u19209, _u19210), _u19211) = hAPP(c_Lazy__Sequence_Osingle(_u19209), _u19210)) )).
% 20.36/20.63 cnf(matrix-7824, plain, ( ~c_Wellfounded_Oacyclic(_u19214, hAPP(c_Set_OCollect(tc_prod(_u19214, _u19214)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19214, _u19214, tc_HOL_Obool), c_Predicate_Oconversep(_u19214, _u19214, _u19216)))) | c_Wellfounded_Oacyclic(_u19214, hAPP(c_Set_OCollect(tc_prod(_u19214, _u19214)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19214, _u19214, tc_HOL_Obool), _u19216))) )).
% 20.36/20.63 cnf(matrix-7825, plain, ( ~c_Wellfounded_Oacyclic(_u19215, hAPP(c_Set_OCollect(tc_prod(_u19215, _u19215)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19215, _u19215, tc_HOL_Obool), _u19217))) | c_Wellfounded_Oacyclic(_u19215, hAPP(c_Set_OCollect(tc_prod(_u19215, _u19215)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19215, _u19215, tc_HOL_Obool), c_Predicate_Oconversep(_u19215, _u19215, _u19217)))) )).
% 20.36/20.63 cnf(matrix-7826, plain, ( ( c_Predicate_Oconversep(_u19218, _u19219, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19218, tc_fun(_u19219, tc_HOL_Obool))), _u19220), _u19221)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19219, tc_fun(_u19218, tc_HOL_Obool))), c_Predicate_Oconversep(_u19218, _u19219, _u19220)), c_Predicate_Oconversep(_u19218, _u19219, _u19221))) )).
% 20.36/20.63 cnf(matrix-7827, plain, ( ( c_Predicate_Oconversep(_u19222, _u19223, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19222, tc_fun(_u19223, tc_HOL_Obool))), _u19224), _u19225)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19223, tc_fun(_u19222, tc_HOL_Obool))), c_Predicate_Oconversep(_u19222, _u19223, _u19224)), c_Predicate_Oconversep(_u19222, _u19223, _u19225))) )).
% 20.36/20.63 cnf(matrix-7828, plain, ( ( c_Predicate_Oconversep(_u19226, _u19227, c_Predicate_Opred__comp(_u19226, _u19228, _u19227, _u19229, _u19230)) = c_Predicate_Opred__comp(_u19227, _u19228, _u19226, c_Predicate_Oconversep(_u19228, _u19227, _u19230), c_Predicate_Oconversep(_u19226, _u19228, _u19229))) )).
% 20.36/20.63 cnf(matrix-7829, plain, ( ( _u19236 != _u19238) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19234, _u19234, hAPP(hAPP(c_COMBB(tc_fun(_u19234, tc_HOL_Obool), tc_fun(_u19234, tc_HOL_Obool), _u19234), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19234), c_fNot)), c_fequal)), _u19236), _u19238)) )).
% 20.36/20.63 cnf(matrix-7830, plain, ( ( _u19237 = _u19239) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19235, _u19235, hAPP(hAPP(c_COMBB(tc_fun(_u19235, tc_HOL_Obool), tc_fun(_u19235, tc_HOL_Obool), _u19235), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19235), c_fNot)), c_fequal)), _u19237), _u19239)) )).
% 20.36/20.63 cnf(matrix-7831, plain, ( hBOOL(hAPP(hAPP(_u19242, _u19244), _u19243)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19240, _u19241, _u19242), _u19243), _u19244)) )).
% 20.36/20.63 cnf(matrix-7832, plain, ( ~hBOOL(hAPP(hAPP(_u19245, _u19246), _u19247)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19248, _u19249, _u19245), _u19247), _u19246)) )).
% 20.36/20.63 cnf(matrix-7833, plain, ( hBOOL(hAPP(hAPP(_u19259, _u19263), _u19261)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19255, _u19257, _u19259), _u19261), _u19263)) )).
% 20.36/20.63 cnf(matrix-7834, plain, ( ~hBOOL(hAPP(hAPP(_u19260, _u19264), _u19262)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19256, _u19258, _u19260), _u19262), _u19264)) )).
% 20.36/20.63 cnf(matrix-7835, plain, ( hBOOL(hAPP(hAPP(_u19274, _u19278), _u19276)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19270, _u19272, _u19274), _u19276), _u19278)) )).
% 20.36/20.63 cnf(matrix-7836, plain, ( ~hBOOL(hAPP(hAPP(_u19275, _u19279), _u19277)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19271, _u19273, _u19275), _u19277), _u19279)) )).
% 20.36/20.63 cnf(matrix-7837, plain, ( ( c_Predicate_Oconversep(_u19280, _u19281, c_Predicate_Oconversep(_u19281, _u19280, _u19282)) = _u19282) )).
% 20.36/20.63 cnf(matrix-7838, plain, ( ( c_Predicate_Oconversep(_u19283, _u19283, c_fequal) = c_fequal) )).
% 20.36/20.63 cnf(matrix-7839, plain, ( ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19289, _u19291, hAPP(hAPP(c_COMBC(_u19289, tc_fun(tc_prod(_u19289, _u19291), tc_HOL_Obool), tc_fun(_u19291, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19291, tc_fun(tc_fun(tc_prod(_u19289, _u19291), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u19289, _u19291), tc_HOL_Obool), tc_fun(_u19291, tc_HOL_Obool)), _u19289), c_COMBC(_u19291, tc_fun(tc_prod(_u19289, _u19291), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19291, tc_prod(_u19289, _u19291)), tc_fun(_u19291, tc_fun(tc_fun(tc_prod(_u19289, _u19291), tc_HOL_Obool), tc_HOL_Obool)), _u19289), hAPP(c_COMBB(tc_prod(_u19289, _u19291), tc_fun(tc_fun(tc_prod(_u19289, _u19291), tc_HOL_Obool), tc_HOL_Obool), _u19291), c_member(tc_prod(_u19289, _u19291)))), c_Product__Type_OPair(_u19289, _u19291)))), _u19293)), _u19295), _u19297)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19291, _u19289)), hAPP(hAPP(c_Product__Type_OPair(_u19291, _u19289), _u19295), _u19297)), hAPP(c_Relation_Oconverse(_u19289, _u19291), _u19293))) )).
% 20.36/20.63 cnf(matrix-7840, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19292, _u19290)), hAPP(hAPP(c_Product__Type_OPair(_u19292, _u19290), _u19296), _u19298)), hAPP(c_Relation_Oconverse(_u19290, _u19292), _u19294))) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19290, _u19292, hAPP(hAPP(c_COMBC(_u19290, tc_fun(tc_prod(_u19290, _u19292), tc_HOL_Obool), tc_fun(_u19292, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19292, tc_fun(tc_fun(tc_prod(_u19290, _u19292), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u19290, _u19292), tc_HOL_Obool), tc_fun(_u19292, tc_HOL_Obool)), _u19290), c_COMBC(_u19292, tc_fun(tc_prod(_u19290, _u19292), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19292, tc_prod(_u19290, _u19292)), tc_fun(_u19292, tc_fun(tc_fun(tc_prod(_u19290, _u19292), tc_HOL_Obool), tc_HOL_Obool)), _u19290), hAPP(c_COMBB(tc_prod(_u19290, _u19292), tc_fun(tc_fun(tc_prod(_u19290, _u19292), tc_HOL_Obool), tc_HOL_Obool), _u19292), c_member(tc_prod(_u19290, _u19292)))), c_Product__Type_OPair(_u19290, _u19292)))), _u19294)), _u19296), _u19298)) )).
% 20.36/20.63 cnf(matrix-7841, plain, ( ( c_Lazy__Sequence_Oproduct(_u19299, _u19300, _u19301, _u19302) = hAPP(c_Lazy__Sequence_Obind(_u19299, tc_prod(_u19299, _u19300), _u19301), hAPP(hAPP(c_COMBB(tc_fun(_u19300, tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19299, _u19300))), tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19299, _u19300)), _u19299), c_Lazy__Sequence_Obind(_u19300, tc_prod(_u19299, _u19300), _u19302)), hAPP(hAPP(c_COMBB(tc_fun(_u19300, tc_prod(_u19299, _u19300)), tc_fun(_u19300, tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19299, _u19300))), _u19299), hAPP(c_COMBB(tc_prod(_u19299, _u19300), tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19299, _u19300)), _u19300), c_Lazy__Sequence_Osingle(tc_prod(_u19299, _u19300)))), c_Product__Type_OPair(_u19299, _u19300))))) )).
% 20.36/20.63 cnf(matrix-7842, plain, ( ( _u19303 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Otl(_u19304), c_List_Oreplicate(_u19304, _u19303, _u19305)) = c_List_Oreplicate(_u19304, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19303), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u19305)) )).
% 20.36/20.63 cnf(matrix-7843, plain, ( ( c_List_Oreplicate(_u19306, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19306)), hAPP(c_List_Ofilter(_u19306, hAPP(c_fequal, _u19307)), _u19308)), _u19307) = hAPP(c_List_Ofilter(_u19306, hAPP(c_fequal, _u19307)), _u19308)) )).
% 20.36/20.63 cnf(matrix-7844, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19309)), c_List_Oreplicate(_u19309, _u19310, _u19311)) = _u19310) )).
% 20.36/20.63 cnf(matrix-7845, plain, ( ( hAPP(hAPP(c_List_Omap(_u19312, _u19313), hAPP(c_COMBK(_u19313, _u19312), _u19314)), _u19315) = c_List_Oreplicate(_u19313, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19312)), _u19315), _u19314)) )).
% 20.36/20.63 cnf(matrix-7846, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19316), c_List_Oreplicate(_u19316, _u19317, _u19318)), hAPP(hAPP(c_List_Olist_OCons(_u19316), _u19318), _u19319)) = hAPP(hAPP(c_List_Olist_OCons(_u19316), _u19318), hAPP(hAPP(c_List_Oappend(_u19316), c_List_Oreplicate(_u19316, _u19317, _u19318)), _u19319))) )).
% 20.36/20.63 cnf(matrix-7847, plain, ( ( c_List_Oreplicate(_u19320, hAPP(c_Nat_OSuc, _u19321), _u19322) = hAPP(hAPP(c_List_Olist_OCons(_u19320), _u19322), c_List_Oreplicate(_u19320, _u19321, _u19322))) )).
% 20.36/20.63 cnf(matrix-7848, plain, ( ( hAPP(c_List_Orev(_u19323), c_List_Oreplicate(_u19323, _u19324, _u19325)) = c_List_Oreplicate(_u19323, _u19324, _u19325)) )).
% 20.36/20.63 cnf(matrix-7849, plain, ( ( hAPP(hAPP(c_List_Otake(_u19326), _u19327), c_List_Oreplicate(_u19326, _u19328, _u19329)) = c_List_Oreplicate(_u19326, hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u19327), _u19328), _u19329)) )).
% 20.36/20.63 cnf(matrix-7850, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19330), _u19331), c_List_Oreplicate(_u19330, _u19332, _u19333)) = c_List_Oreplicate(_u19330, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19332), _u19331), _u19333)) )).
% 20.36/20.63 cnf(matrix-7851, plain, ( ( _u19334 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Ohd(_u19335), c_List_Oreplicate(_u19335, _u19334, _u19336)) = _u19336) )).
% 20.36/20.63 cnf(matrix-7852, plain, ( ( _u19337 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olast(_u19338, c_List_Oreplicate(_u19338, _u19337, _u19339)) = _u19339) )).
% 20.36/20.63 cnf(matrix-7853, plain, ( ( hAPP(hAPP(c_List_Ozip(_u19340, _u19341), c_List_Oreplicate(_u19340, _u19342, _u19343)), c_List_Oreplicate(_u19341, _u19344, _u19345)) = c_List_Oreplicate(tc_prod(_u19340, _u19341), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u19342), _u19344), hAPP(hAPP(c_Product__Type_OPair(_u19340, _u19341), _u19343), _u19345))) )).
% 20.36/20.63 cnf(matrix-7854, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19352), _u19346), hAPP(c_List_Oset(_u19352), c_List_Oreplicate(_u19352, _u19354, _u19356)))) | ~hBOOL(hAPP(_u19358, _u19346)) | hBOOL(hAPP(_u19358, _u19356)) )).
% 20.36/20.63 cnf(matrix-7855, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19352), _u19346), hAPP(c_List_Oset(_u19352), c_List_Oreplicate(_u19352, _u19354, _u19356)))) | ~hBOOL(hAPP(_u19358, _u19346)) | ( _u19354 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.63 cnf(matrix-7856, plain, ( ~hBOOL(hAPP(_u19359, _u19357)) | ( _u19355 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u19353), skolem505(_u19359, _u19357, _u19355, _u19353)), hAPP(c_List_Oset(_u19353), c_List_Oreplicate(_u19353, _u19355, _u19357)))) )).
% 20.36/20.63 cnf(matrix-7857, plain, ( ~hBOOL(hAPP(_u19359, _u19357)) | ( _u19355 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u19359, skolem505(_u19359, _u19357, _u19355, _u19353))) )).
% 20.36/20.63 cnf(matrix-7858, plain, ( hBOOL(hAPP(_u19372, _u19370)) | ( _u19368 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u19366), skolem506(_u19372, _u19370, _u19368, _u19366)), hAPP(c_List_Oset(_u19366), c_List_Oreplicate(_u19366, _u19368, _u19370)))) )).
% 20.36/20.63 cnf(matrix-7859, plain, ( hBOOL(hAPP(_u19372, _u19370)) | ( _u19368 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u19372, skolem506(_u19372, _u19370, _u19368, _u19366))) )).
% 20.36/20.63 cnf(matrix-7860, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19367), _u19361), hAPP(c_List_Oset(_u19367), c_List_Oreplicate(_u19367, _u19369, _u19371)))) | hBOOL(hAPP(_u19373, _u19361)) | ~hBOOL(hAPP(_u19373, _u19371)) )).
% 20.36/20.63 cnf(matrix-7861, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19367), _u19361), hAPP(c_List_Oset(_u19367), c_List_Oreplicate(_u19367, _u19369, _u19371)))) | hBOOL(hAPP(_u19373, _u19361)) | ( _u19369 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.63 cnf(matrix-7862, plain, ( ( c_List_Oreplicate(_u19379, _u19381, _u19383) != c_List_Oreplicate(_u19379, _u19385, _u19387)) | ( _u19381 = _u19385) )).
% 20.36/20.63 cnf(matrix-7863, plain, ( ( c_List_Oreplicate(_u19379, _u19381, _u19383) != c_List_Oreplicate(_u19379, _u19385, _u19387)) | ( _u19381 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u19383 = _u19387) )).
% 20.36/20.63 cnf(matrix-7864, plain, ( ( c_List_Oreplicate(_u19380, _u19382, _u19384) = c_List_Oreplicate(_u19380, _u19386, _u19388)) | ( _u19382 != _u19386) | ( _u19382 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.63 cnf(matrix-7865, plain, ( ( c_List_Oreplicate(_u19380, _u19382, _u19384) = c_List_Oreplicate(_u19380, _u19386, _u19388)) | ( _u19382 != _u19386) | ( _u19384 != _u19388) )).
% 20.36/20.63 cnf(matrix-7866, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19389), _u19390)) | ( hAPP(hAPP(c_List_Onth(_u19391), c_List_Oreplicate(_u19391, _u19390, _u19392)), _u19389) = _u19392) )).
% 20.36/20.63 cnf(matrix-7867, plain, ( ( c_List_Oreplicate(_u19393, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19394), _u19395), _u19396) = hAPP(hAPP(c_List_Oappend(_u19393), c_List_Oreplicate(_u19393, _u19394, _u19396)), c_List_Oreplicate(_u19393, _u19395, _u19396))) )).
% 20.36/20.63 cnf(matrix-7868, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19397), c_List_Oreplicate(_u19397, _u19398, _u19399)), c_List_Oreplicate(_u19397, _u19400, _u19399)) = hAPP(hAPP(c_List_Oappend(_u19397), c_List_Oreplicate(_u19397, _u19400, _u19399)), c_List_Oreplicate(_u19397, _u19398, _u19399))) )).
% 20.36/20.63 cnf(matrix-7869, plain, ( ~hBOOL(hAPP(_u19405, _u19407)) | ( hAPP(c_List_Ofilter(_u19409, _u19405), c_List_Oreplicate(_u19409, _u19411, _u19407)) = c_List_Oreplicate(_u19409, _u19411, _u19407)) )).
% 20.36/20.63 cnf(matrix-7870, plain, ( hBOOL(hAPP(_u19406, _u19408)) | ( hAPP(c_List_Ofilter(_u19410, _u19406), c_List_Oreplicate(_u19410, _u19412, _u19408)) = c_List_Olist_ONil(_u19410)) )).
% 20.36/20.63 cnf(matrix-7871, plain, ( ( c_List_Oconcat(_u19413, c_List_Oreplicate(tc_List_Olist(_u19413), _u19414, c_List_Olist_ONil(_u19413))) = c_List_Olist_ONil(_u19413)) )).
% 20.36/20.63 cnf(matrix-7872, plain, ( ( c_List_Oreplicate(_u19415, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u19416) = c_List_Olist_ONil(_u19415)) )).
% 20.36/20.63 cnf(matrix-7873, plain, ( ( _u19422 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olist_ONil(_u19420) != c_List_Oreplicate(_u19420, _u19422, _u19424)) )).
% 20.36/20.63 cnf(matrix-7874, plain, ( ( _u19423 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olist_ONil(_u19421) = c_List_Oreplicate(_u19421, _u19423, _u19425)) )).
% 20.36/20.63 cnf(matrix-7875, plain, ( ( _u19431 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Oreplicate(_u19429, _u19431, _u19433) != c_List_Olist_ONil(_u19429)) )).
% 20.36/20.63 cnf(matrix-7876, plain, ( ( _u19432 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Oreplicate(_u19430, _u19432, _u19434) = c_List_Olist_ONil(_u19430)) )).
% 20.36/20.63 cnf(matrix-7877, plain, ( ( hAPP(hAPP(c_List_Omap(_u19435, _u19436), _u19437), c_List_Oreplicate(_u19435, _u19438, _u19439)) = c_List_Oreplicate(_u19436, _u19438, hAPP(_u19437, _u19439))) )).
% 20.36/20.63 cnf(matrix-7878, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19444), _u19446), hAPP(c_List_Oset(_u19444), c_List_Oreplicate(_u19444, _u19448, _u19450)))) | ( _u19446 = _u19450) )).
% 20.36/20.63 cnf(matrix-7879, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19444), _u19446), hAPP(c_List_Oset(_u19444), c_List_Oreplicate(_u19444, _u19448, _u19450)))) | ( _u19448 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.63 cnf(matrix-7880, plain, ( ( _u19447 != _u19451) | ( _u19449 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u19445), _u19447), hAPP(c_List_Oset(_u19445), c_List_Oreplicate(_u19445, _u19449, _u19451)))) )).
% 20.36/20.63 cnf(matrix-7881, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19452), c_List_Oreplicate(_u19452, _u19453, _u19454)), hAPP(hAPP(c_List_Olist_OCons(_u19452), _u19454), c_List_Olist_ONil(_u19452))) = hAPP(hAPP(c_List_Olist_OCons(_u19452), _u19454), c_List_Oreplicate(_u19452, _u19453, _u19454))) )).
% 20.36/20.63 cnf(matrix-7882, plain, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u19455), hAPP(c_COMBK(_u19455, tc_Nat_Onat), _u19456)), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u19457)) = c_List_Oreplicate(_u19455, _u19457, _u19456)) )).
% 20.36/20.63 cnf(matrix-7883, plain, ( ( _u19458 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u19459), c_List_Oreplicate(_u19459, _u19458, _u19460)) = hAPP(hAPP(c_Set_Oinsert(_u19459), _u19460), c_Orderings_Obot__class_Obot(tc_fun(_u19459, tc_HOL_Obool)))) )).
% 20.36/20.63 cnf(matrix-7884, plain, ( ( _u19464 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u19466), c_List_Oreplicate(_u19466, _u19464, _u19468)) = c_Orderings_Obot__class_Obot(tc_fun(_u19466, tc_HOL_Obool))) )).
% 20.36/20.63 cnf(matrix-7885, plain, ( ( _u19465 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u19467), c_List_Oreplicate(_u19467, _u19465, _u19469)) = hAPP(hAPP(c_Set_Oinsert(_u19467), _u19469), c_Orderings_Obot__class_Obot(tc_fun(_u19467, tc_HOL_Obool)))) )).
% 20.36/20.63 cnf(matrix-7886, plain, ( ( hAPP(c_List_Oset(_u19470), c_List_Oreplicate(_u19470, hAPP(c_Nat_OSuc, _u19471), _u19472)) = hAPP(hAPP(c_Set_Oinsert(_u19470), _u19472), c_Orderings_Obot__class_Obot(tc_fun(_u19470, tc_HOL_Obool)))) )).
% 20.36/20.63 cnf(matrix-7887, plain, ( ~class_Lazy__Sequence_Osmall__lazy(_u19473) | ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(_u19473), _u19474) = c_Lazy__Sequence_Oappend(tc_List_Olist(_u19473), hAPP(c_Lazy__Sequence_Osingle(tc_List_Olist(_u19473)), c_List_Olist_ONil(_u19473)), hAPP(hAPP(hAPP(c_If(tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19473))), hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u19474)), hAPP(c_Lazy__Sequence_Obind(tc_prod(_u19473, tc_List_Olist(_u19473)), tc_List_Olist(_u19473), c_Lazy__Sequence_Oproduct(_u19473, tc_List_Olist(_u19473), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u19473, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u19474), c_Groups_Oone__class_Oone(tc_Int_Oint))), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(_u19473), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u19474), c_Groups_Oone__class_Oone(tc_Int_Oint))))), hAPP(c_Product__Type_Oprod_Oprod__case(_u19473, tc_List_Olist(_u19473), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19473))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u19473), tc_List_Olist(_u19473)), tc_fun(tc_List_Olist(_u19473), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19473))), _u19473), hAPP(c_COMBB(tc_List_Olist(_u19473), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19473)), tc_List_Olist(_u19473)), c_Lazy__Sequence_Osingle(tc_List_Olist(_u19473)))), c_List_Olist_OCons(_u19473))))), c_Lazy__Sequence_Oempty(tc_List_Olist(_u19473))))) )).
% 20.36/20.63 cnf(matrix-7888, plain, ( ( c_Predicate_Opred__comp(_u19475, _u19475, _u19475, c_fequal, c_Predicate_Opred__comp(_u19475, _u19475, _u19475, _u19476, c_fequal)) = _u19476) )).
% 20.36/20.63 cnf(matrix-7889, plain, ( ~class_Lazy__Sequence_Osmall__lazy(_u19477) | ~class_Lazy__Sequence_Osmall__lazy(_u19478) | ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_prod(_u19477, _u19478), _u19479) = c_Lazy__Sequence_Oproduct(_u19477, _u19478, c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u19477, _u19479), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u19478, _u19479))) )).
% 20.36/20.63 cnf(matrix-7890, plain, ( ( hAPP(c_New__DSequence_Opos__union(_u19480, _u19481, _u19482), _u19483) = c_Lazy__Sequence_Oappend(_u19480, hAPP(_u19481, _u19483), hAPP(_u19482, _u19483))) )).
% 20.36/20.63 cnf(matrix-7891, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19484)), c_Lazy__Sequence_Olazy__sequence_OInsert(_u19484, _u19485, _u19486)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19484)), _u19486)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 20.36/20.63 cnf(matrix-7892, plain, ( ( c_Lazy__Sequence_Oappend(_u19487, c_Lazy__Sequence_Olazy__sequence_OInsert(_u19487, _u19488, _u19489), _u19490) = c_Lazy__Sequence_Olazy__sequence_OInsert(_u19487, _u19488, c_Lazy__Sequence_Oappend(_u19487, _u19489, _u19490))) )).
% 20.36/20.63 cnf(matrix-7893, plain, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u19496, _u19498, _u19500) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u19496, _u19502, _u19504)) | ( _u19498 = _u19502) )).
% 20.36/20.63 cnf(matrix-7894, plain, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u19496, _u19498, _u19500) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u19496, _u19502, _u19504)) | ( _u19500 = _u19504) )).
% 20.36/20.63 cnf(matrix-7895, plain, ( ( _u19499 != _u19503) | ( _u19501 != _u19505) | ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u19497, _u19499, _u19501) = c_Lazy__Sequence_Olazy__sequence_OInsert(_u19497, _u19503, _u19505)) )).
% 20.36/20.63 cnf(matrix-7896, plain, ( ( c_New__Random__Sequence_Opos__union(_u19506, _u19507, _u19508, _u19509, _u19510, _u19511) = c_New__DSequence_Opos__union(_u19506, hAPP(hAPP(hAPP(_u19507, _u19509), _u19510), _u19511), hAPP(hAPP(hAPP(_u19508, _u19509), _u19510), _u19511))) )).
% 20.36/20.63 cnf(matrix-7897, plain, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19512, _u19513), c_Lazy__Sequence_Olazy__sequence_OInsert(_u19512, _u19514, _u19515)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u19513, _u19514)), hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19512, _u19513), _u19515))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 20.36/20.63 cnf(matrix-7898, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u19518), _u19520)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u19518, _u19520) = c_Lazy__Sequence_Oempty(tc_Int_Oint)) )).
% 20.36/20.63 cnf(matrix-7899, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u19519), _u19521)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u19519, _u19521) = c_Lazy__Sequence_Oappend(tc_Int_Oint, hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint), _u19521), c_Lazy__Sequence_Osmall__lazy_H(_u19519, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u19521), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 20.36/20.63 cnf(matrix-7900, 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), _u19522), _u19523))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u19522), _u19523)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u19522, _u19523) = c_Lazy__Sequence_Oempty(tc_Int_Oint)) )).
% 20.36/20.63 cnf(matrix-7901, 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), _u19522), _u19523))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u19522), _u19523)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u19522, _u19523) = c_Lazy__Sequence_Oappend(tc_Int_Oint, hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint), _u19523), c_Lazy__Sequence_Osmall__lazy_H(_u19522, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u19523), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 20.36/20.63 cnf(matrix-7902, plain, ( ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_Int_Oint, _u19524) = c_Lazy__Sequence_Osmall__lazy_H(_u19524, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u19524))) )).
% 20.36/20.63 cnf(matrix-7903, 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), _u19527), _u19528))) | hBOOL(hAPP(hAPP(_u19529, _u19527), _u19528)) | 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), skolem507(_u19529, _u19528, _u19527)), skolem508(_u19529, _u19528, _u19527)))) )).
% 20.36/20.63 cnf(matrix-7904, 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), _u19527), _u19528))) | hBOOL(hAPP(hAPP(_u19529, _u19527), _u19528)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem507(_u19529, _u19528, _u19527)), skolem508(_u19529, _u19528, _u19527))) | hBOOL(hAPP(hAPP(_u19529, skolem507(_u19529, _u19528, _u19527)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem508(_u19529, _u19528, _u19527)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 20.36/20.63 cnf(matrix-7905, 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), _u19527), _u19528))) | hBOOL(hAPP(hAPP(_u19529, _u19527), _u19528)) | ~hBOOL(hAPP(hAPP(_u19529, skolem507(_u19529, _u19528, _u19527)), skolem508(_u19529, _u19528, _u19527))) )).
% 20.36/20.63 cnf(matrix-7906, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19530)), _u19531) = c_Option_Ooption_Ooption__case(tc_Nat_Onat, tc_prod(_u19530, tc_Lazy__Sequence_Olazy__sequence(_u19530)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Product__Type_Oprod_Oprod__case(_u19530, tc_Lazy__Sequence_Olazy__sequence(_u19530), tc_Nat_Onat), hAPP(c_COMBK(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19530), tc_Nat_Onat), _u19530), hAPP(hAPP(c_COMBC(tc_Lazy__Sequence_Olazy__sequence(_u19530), 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(_u19530)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19530)))), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(c_Lazy__Sequence_Oyield(_u19530), _u19531))) )).
% 20.36/20.63 cnf(matrix-7907, plain, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19532, _u19533), _u19534) = c_Option_Ooption_Ooption__case(tc_Nat_Onat, tc_prod(_u19532, tc_Lazy__Sequence_Olazy__sequence(_u19532)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Product__Type_Oprod_Oprod__case(_u19532, tc_Lazy__Sequence_Olazy__sequence(_u19532), tc_Nat_Onat), hAPP(hAPP(c_COMBC(_u19532, tc_Nat_Onat, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19532), tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19532), tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_fun(tc_Nat_Onat, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19532), tc_Nat_Onat)), _u19532), c_COMBC(tc_Lazy__Sequence_Olazy__sequence(_u19532), tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19532), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19532), tc_fun(tc_Nat_Onat, tc_Nat_Onat)), _u19532), hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_Lazy__Sequence_Olazy__sequence(_u19532)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat))), hAPP(hAPP(c_COMBC(_u19532, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19532), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19532), tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_fun(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19532), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19532), tc_Nat_Onat)), _u19532), c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Lazy__Sequence_Olazy__sequence(_u19532))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), _u19532), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u19533))), c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19532, _u19533))))), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_Lazy__Sequence_Oyield(_u19532), _u19534))) )).
% 20.36/20.63 cnf(matrix-7908, plain, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u19535, _u19536, _u19537, _u19538, _u19539) = c_Option_Ooption_Ooption__case(_u19535, tc_prod(_u19536, tc_Lazy__Sequence_Olazy__sequence(_u19536)), _u19537, hAPP(c_Product__Type_Oprod_Oprod__case(_u19536, tc_Lazy__Sequence_Olazy__sequence(_u19536), _u19535), _u19538), hAPP(c_Lazy__Sequence_Oyield(_u19536), _u19539))) )).
% 20.36/20.63 cnf(matrix-7909, plain, ( ( c_Lazy__Sequence_Oyieldn(_u19540) = c_Lazy__Sequence_Oanamorph(tc_Lazy__Sequence_Olazy__sequence(_u19540), _u19540, c_Lazy__Sequence_Oyield(_u19540))) )).
% 20.36/20.63 cnf(matrix-7910, plain, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u19541, _u19542, _u19543, _u19544, c_Lazy__Sequence_Olazy__sequence_OInsert(_u19542, _u19545, _u19546)) = hAPP(hAPP(_u19544, _u19545), _u19546)) )).
% 20.36/20.63 cnf(matrix-7911, plain, ( c_Relation_Orefl__on(_u19550, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19548, tc_fun(_u19550, tc_HOL_Obool)), _u19549), _u19551), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19548, tc_fun(tc_prod(_u19550, _u19550), tc_HOL_Obool)), _u19549), _u19552)) | hBOOL(hAPP(hAPP(c_member(_u19548), skolem509(_u19552, _u19551, _u19550, _u19549, _u19548)), _u19549)) )).
% 20.36/20.63 cnf(matrix-7912, plain, ( c_Relation_Orefl__on(_u19550, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19548, tc_fun(_u19550, tc_HOL_Obool)), _u19549), _u19551), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19548, tc_fun(tc_prod(_u19550, _u19550), tc_HOL_Obool)), _u19549), _u19552)) | ~c_Relation_Orefl__on(_u19550, hAPP(_u19551, skolem509(_u19552, _u19551, _u19550, _u19549, _u19548)), hAPP(_u19552, skolem509(_u19552, _u19551, _u19550, _u19549, _u19548))) )).
% 20.36/20.63 cnf(matrix-7913, plain, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u19556), _u19558), _u19560)) | hBOOL(hAPP(hAPP(c_member(_u19556), _u19560), hAPP(c_List_Oset(_u19556), _u19558))) )).
% 20.36/20.63 cnf(matrix-7914, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19557), _u19561), hAPP(c_List_Oset(_u19557), _u19559))) | hBOOL(hAPP(hAPP(c_List_Omember(_u19557), _u19559), _u19561)) )).
% 20.36/20.63 cnf(matrix-7915, plain, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u19562), c_List_Olist_ONil(_u19562)), _u19563)) )).
% 20.36/20.63 cnf(matrix-7916, plain, ( ( c_List_Omember(_u19564) = c_List_Oset(_u19564)) )).
% 20.36/20.63 cnf(matrix-7917, plain, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u19569), hAPP(hAPP(c_List_Olist_OCons(_u19569), _u19571), _u19573)), _u19575)) | ( _u19571 = _u19575) | hBOOL(hAPP(hAPP(c_List_Omember(_u19569), _u19573), _u19575)) )).
% 20.36/20.63 cnf(matrix-7918, plain, ( hBOOL(hAPP(hAPP(c_List_Omember(_u19570), hAPP(hAPP(c_List_Olist_OCons(_u19570), _u19572), _u19574)), _u19576)) | ( _u19572 != _u19576) )).
% 20.36/20.63 cnf(matrix-7919, plain, ( hBOOL(hAPP(hAPP(c_List_Omember(_u19570), hAPP(hAPP(c_List_Olist_OCons(_u19570), _u19572), _u19574)), _u19576)) | ~hBOOL(hAPP(hAPP(c_List_Omember(_u19570), _u19574), _u19576)) )).
% 20.36/20.63 cnf(matrix-7920, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19580), _u19582), hAPP(c_List_Oset(_u19580), _u19584))) | hBOOL(hAPP(hAPP(c_List_Omember(_u19580), _u19584), _u19582)) )).
% 20.36/20.63 cnf(matrix-7921, plain, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u19581), _u19585), _u19583)) | hBOOL(hAPP(hAPP(c_member(_u19581), _u19583), hAPP(c_List_Oset(_u19581), _u19585))) )).
% 20.36/20.63 cnf(matrix-7922, plain, ( ~c_List_Olist__ex1(_u19593, _u19595, _u19597) | hBOOL(hAPP(hAPP(c_member(_u19593), skolem510(_u19597, _u19595, _u19593)), hAPP(c_List_Oset(_u19593), _u19597))) )).
% 20.36/20.63 cnf(matrix-7923, plain, ( ~c_List_Olist__ex1(_u19593, _u19595, _u19597) | hBOOL(hAPP(_u19595, skolem510(_u19597, _u19595, _u19593))) )).
% 20.36/20.63 cnf(matrix-7924, plain, ( ~c_List_Olist__ex1(_u19593, _u19595, _u19597) | ~hBOOL(hAPP(hAPP(c_member(_u19593), _u19586), hAPP(c_List_Oset(_u19593), _u19597))) | ~hBOOL(hAPP(_u19595, _u19586)) | ( _u19586 = skolem510(_u19597, _u19595, _u19593)) )).
% 20.36/20.63 cnf(matrix-7925, plain, ( c_List_Olist__ex1(_u19594, _u19596, _u19598) | ~hBOOL(hAPP(hAPP(c_member(_u19594), _u19589), hAPP(c_List_Oset(_u19594), _u19598))) | ~hBOOL(hAPP(_u19596, _u19589)) | hBOOL(hAPP(hAPP(c_member(_u19594), skolem511(_u19598, _u19596, _u19594, _u19589)), hAPP(c_List_Oset(_u19594), _u19598))) )).
% 20.36/20.63 cnf(matrix-7926, plain, ( c_List_Olist__ex1(_u19594, _u19596, _u19598) | ~hBOOL(hAPP(hAPP(c_member(_u19594), _u19589), hAPP(c_List_Oset(_u19594), _u19598))) | ~hBOOL(hAPP(_u19596, _u19589)) | hBOOL(hAPP(_u19596, skolem511(_u19598, _u19596, _u19594, _u19589))) )).
% 20.36/20.63 cnf(matrix-7927, plain, ( c_List_Olist__ex1(_u19594, _u19596, _u19598) | ~hBOOL(hAPP(hAPP(c_member(_u19594), _u19589), hAPP(c_List_Oset(_u19594), _u19598))) | ~hBOOL(hAPP(_u19596, _u19589)) | ( skolem511(_u19598, _u19596, _u19594, _u19589) != _u19589) )).
% 20.36/20.63 cnf(matrix-7928, plain, ( ~class_Groups_Ocomm__monoid__add(_u19603) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19604, tc_HOL_Obool)), _u19605)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19604, tc_HOL_Obool)), skolem512(_u19606, _u19605, _u19604, _u19603)), _u19605)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19604, tc_HOL_Obool), _u19605)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19604, tc_HOL_Obool), _u19603), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606)), _u19605)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19604, tc_HOL_Obool)), skolem513(_u19606, _u19605, _u19604, _u19603)), _u19605)) )).
% 20.36/20.63 cnf(matrix-7929, plain, ( ~class_Groups_Ocomm__monoid__add(_u19603) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19604, tc_HOL_Obool)), _u19605)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19604, tc_HOL_Obool)), skolem512(_u19606, _u19605, _u19604, _u19603)), _u19605)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19604, tc_HOL_Obool), _u19605)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19604, tc_HOL_Obool), _u19603), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606)), _u19605)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19604, tc_HOL_Obool)), skolem514(_u19606, _u19605, _u19604, _u19603)), _u19605)) )).
% 20.36/20.63 cnf(matrix-7930, plain, ( ~class_Groups_Ocomm__monoid__add(_u19603) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19604, tc_HOL_Obool)), _u19605)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19604, tc_HOL_Obool)), skolem512(_u19606, _u19605, _u19604, _u19603)), _u19605)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19604, tc_HOL_Obool), _u19605)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19604, tc_HOL_Obool), _u19603), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606)), _u19605)) | ( skolem513(_u19606, _u19605, _u19604, _u19603) != skolem514(_u19606, _u19605, _u19604, _u19603)) )).
% 20.36/20.63 cnf(matrix-7931, plain, ( ~class_Groups_Ocomm__monoid__add(_u19603) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19604, tc_HOL_Obool)), _u19605)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19604, tc_HOL_Obool)), skolem512(_u19606, _u19605, _u19604, _u19603)), _u19605)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19604, tc_HOL_Obool), _u19605)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19604, tc_HOL_Obool), _u19603), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606)), _u19605)) | hBOOL(hAPP(hAPP(c_member(_u19604), skolem515(_u19606, _u19605, _u19604, _u19603)), skolem513(_u19606, _u19605, _u19604, _u19603))) )).
% 20.36/20.63 cnf(matrix-7932, plain, ( ~class_Groups_Ocomm__monoid__add(_u19603) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19604, tc_HOL_Obool)), _u19605)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19604, tc_HOL_Obool)), skolem512(_u19606, _u19605, _u19604, _u19603)), _u19605)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19604, tc_HOL_Obool), _u19605)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19604, tc_HOL_Obool), _u19603), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606)), _u19605)) | hBOOL(hAPP(hAPP(c_member(_u19604), skolem515(_u19606, _u19605, _u19604, _u19603)), skolem514(_u19606, _u19605, _u19604, _u19603))) )).
% 20.36/20.63 cnf(matrix-7933, plain, ( ~class_Groups_Ocomm__monoid__add(_u19603) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19604, tc_HOL_Obool)), _u19605)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19604, tc_HOL_Obool)), skolem512(_u19606, _u19605, _u19604, _u19603)), _u19605)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19604, tc_HOL_Obool), _u19605)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19604, tc_HOL_Obool), _u19603), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606)), _u19605)) | ( hAPP(_u19606, skolem515(_u19606, _u19605, _u19604, _u19603)) != c_Groups_Ozero__class_Ozero(_u19603)) )).
% 20.36/20.63 cnf(matrix-7934, plain, ( ~class_Groups_Ocomm__monoid__add(_u19603) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19604, tc_HOL_Obool)), _u19605)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19604), skolem512(_u19606, _u19605, _u19604, _u19603))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19604, tc_HOL_Obool), _u19605)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19604, tc_HOL_Obool), _u19603), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606)), _u19605)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19604, tc_HOL_Obool)), skolem513(_u19606, _u19605, _u19604, _u19603)), _u19605)) )).
% 20.36/20.63 cnf(matrix-7935, plain, ( ~class_Groups_Ocomm__monoid__add(_u19603) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19604, tc_HOL_Obool)), _u19605)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19604), skolem512(_u19606, _u19605, _u19604, _u19603))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19604, tc_HOL_Obool), _u19605)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19604, tc_HOL_Obool), _u19603), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606)), _u19605)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19604, tc_HOL_Obool)), skolem514(_u19606, _u19605, _u19604, _u19603)), _u19605)) )).
% 20.36/20.63 cnf(matrix-7936, plain, ( ~class_Groups_Ocomm__monoid__add(_u19603) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19604, tc_HOL_Obool)), _u19605)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19604), skolem512(_u19606, _u19605, _u19604, _u19603))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19604, tc_HOL_Obool), _u19605)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19604, tc_HOL_Obool), _u19603), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606)), _u19605)) | ( skolem513(_u19606, _u19605, _u19604, _u19603) != skolem514(_u19606, _u19605, _u19604, _u19603)) )).
% 20.36/20.63 cnf(matrix-7937, plain, ( ~class_Groups_Ocomm__monoid__add(_u19603) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19604, tc_HOL_Obool)), _u19605)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19604), skolem512(_u19606, _u19605, _u19604, _u19603))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19604, tc_HOL_Obool), _u19605)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19604, tc_HOL_Obool), _u19603), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606)), _u19605)) | hBOOL(hAPP(hAPP(c_member(_u19604), skolem515(_u19606, _u19605, _u19604, _u19603)), skolem513(_u19606, _u19605, _u19604, _u19603))) )).
% 20.36/20.63 cnf(matrix-7938, plain, ( ~class_Groups_Ocomm__monoid__add(_u19603) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19604, tc_HOL_Obool)), _u19605)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19604), skolem512(_u19606, _u19605, _u19604, _u19603))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19604, tc_HOL_Obool), _u19605)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19604, tc_HOL_Obool), _u19603), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606)), _u19605)) | hBOOL(hAPP(hAPP(c_member(_u19604), skolem515(_u19606, _u19605, _u19604, _u19603)), skolem514(_u19606, _u19605, _u19604, _u19603))) )).
% 20.36/20.63 cnf(matrix-7939, plain, ( ~class_Groups_Ocomm__monoid__add(_u19603) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19604, tc_HOL_Obool)), _u19605)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19604), skolem512(_u19606, _u19605, _u19604, _u19603))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19604, tc_HOL_Obool), _u19605)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19604, tc_HOL_Obool), _u19603), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19604, _u19603), _u19606)), _u19605)) | ( hAPP(_u19606, skolem515(_u19606, _u19605, _u19604, _u19603)) != c_Groups_Ozero__class_Ozero(_u19603)) )).
% 20.36/20.63 cnf(matrix-7940, plain, ( ( c_FunDef_OTHE__default(_u19616, _u19618, _u19614) = c_HOL_OThe(_u19616, _u19614)) | ~hBOOL(hAPP(_u19614, _u19608)) | hBOOL(hAPP(_u19614, skolem516(_u19618, _u19616, _u19614, _u19608))) )).
% 20.36/20.63 cnf(matrix-7941, plain, ( ( c_FunDef_OTHE__default(_u19616, _u19618, _u19614) = c_HOL_OThe(_u19616, _u19614)) | ~hBOOL(hAPP(_u19614, _u19608)) | ( skolem516(_u19618, _u19616, _u19614, _u19608) != _u19608) )).
% 20.36/20.63 cnf(matrix-7942, plain, ( ( c_FunDef_OTHE__default(_u19617, _u19619, _u19615) = _u19619) | hBOOL(hAPP(_u19615, skolem517(_u19619, _u19617, _u19615))) )).
% 20.36/20.63 cnf(matrix-7943, plain, ( ( c_FunDef_OTHE__default(_u19617, _u19619, _u19615) = _u19619) | ~hBOOL(hAPP(_u19615, _u19609)) | ( _u19609 = skolem517(_u19619, _u19617, _u19615)) )).
% 20.36/20.63 cnf(matrix-7944, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19621, tc_fun(_u19622, tc_fun(_u19623, tc_HOL_Obool))), _u19624), _u19625), _u19626), _u19627)) | hBOOL(hAPP(hAPP(c_member(_u19621), skolem518(_u19627, _u19626, _u19625, _u19624, _u19623, _u19622, _u19621)), _u19624)) )).
% 20.36/20.63 cnf(matrix-7945, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19621, tc_fun(_u19622, tc_fun(_u19623, tc_HOL_Obool))), _u19624), _u19625), _u19626), _u19627)) | hBOOL(hAPP(hAPP(hAPP(_u19625, skolem518(_u19627, _u19626, _u19625, _u19624, _u19623, _u19622, _u19621)), _u19626), _u19627)) )).
% 20.36/20.63 cnf(matrix-7946, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19629, tc_fun(_u19634, tc_fun(_u19635, tc_HOL_Obool))), _u19630), _u19631), _u19632), _u19633)) | hBOOL(hAPP(hAPP(c_member(_u19629), skolem519(_u19635, _u19634, _u19633, _u19632, _u19631, _u19630, _u19629)), _u19630)) )).
% 20.36/20.63 cnf(matrix-7947, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19629, tc_fun(_u19634, tc_fun(_u19635, tc_HOL_Obool))), _u19630), _u19631), _u19632), _u19633)) | ~hBOOL(hAPP(hAPP(hAPP(_u19631, skolem519(_u19635, _u19634, _u19633, _u19632, _u19631, _u19630, _u19629)), _u19632), _u19633)) )).
% 20.36/20.63 cnf(matrix-7948, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u19638)), _u19639)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19638)), _u19636), _u19639)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19638)), _u19636)), skolem520(_u19639, _u19638))) )).
% 20.36/20.63 cnf(matrix-7949, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19640)), c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19640)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.63 cnf(matrix-7950, plain, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19641, _u19642), c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19641)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.63 cnf(matrix-7951, plain, ( ( c_Lazy__Sequence_Oappend(_u19643, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19643), _u19644) = _u19644) )).
% 20.36/20.63 cnf(matrix-7952, plain, ( ( c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19645) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u19645, _u19646, _u19647)) )).
% 20.36/20.63 cnf(matrix-7953, plain, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u19648, _u19649, _u19650) != c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19648)) )).
% 20.36/20.63 cnf(matrix-7954, plain, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u19651, _u19652, _u19653, _u19654, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19652)) = _u19653) )).
% 20.36/20.63 cnf(matrix-7955, plain, ( ~c_List_Olist__all(tc_Int_Oint, _u19658, c_List_Oupto(_u19660, _u19662)) | c_List_Oall__interval__int(_u19658, _u19660, _u19662) )).
% 20.36/20.63 cnf(matrix-7956, plain, ( ~c_List_Oall__interval__int(_u19659, _u19661, _u19663) | c_List_Olist__all(tc_Int_Oint, _u19659, c_List_Oupto(_u19661, _u19663)) )).
% 20.36/20.63 cnf(matrix-7957, plain, ( ~c_List_Olist__ex(tc_Int_Oint, _u19667, c_List_Oupto(_u19669, _u19671)) | ~c_List_Oall__interval__int(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint, c_fNot), _u19667), _u19669, _u19671) )).
% 20.36/20.63 cnf(matrix-7958, plain, ( c_List_Oall__interval__int(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint, c_fNot), _u19668), _u19670, _u19672) | c_List_Olist__ex(tc_Int_Oint, _u19668, c_List_Oupto(_u19670, _u19672)) )).
% 20.36/20.63 cnf(matrix-7959, plain, ( ~c_List_Oall__interval__int(_u19678, _u19680, _u19682) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u19673), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u19680, _u19682))) | hBOOL(hAPP(_u19678, _u19673)) )).
% 20.36/20.63 cnf(matrix-7960, plain, ( c_List_Oall__interval__int(_u19679, _u19681, _u19683) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem521(_u19683, _u19681, _u19679)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u19681, _u19683))) )).
% 20.36/20.63 cnf(matrix-7961, plain, ( c_List_Oall__interval__int(_u19679, _u19681, _u19683) | ~hBOOL(hAPP(_u19679, skolem521(_u19683, _u19681, _u19679))) )).
% 20.36/20.63 cnf(matrix-7962, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u19684, _u19685, _u19686, c_Code__Numeral_OSuc__code__numeral(_u19687)) = hAPP(hAPP(_u19686, _u19687), c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u19684, _u19685, _u19686, _u19687))) )).
% 20.36/20.63 cnf(matrix-7963, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u19692), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) | ( c_Random__Sequence_ORandom(_u19694, _u19696, _u19692, _u19698) = 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(_u19694)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), c_DSequence_Oempty(_u19694))) )).
% 20.36/20.63 cnf(matrix-7964, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u19693), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) | ( c_Random__Sequence_ORandom(_u19695, _u19697, _u19693, _u19699) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u19695, 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(_u19695)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(_u19697, _u19699)), 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(_u19695)))), 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(_u19695)))), 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(_u19695)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_prod(_u19695, 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(_u19695)))), 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(_u19695)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random__Sequence_ORandom(_u19695, _u19697, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u19693), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u19699))), 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(_u19695)))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19695))))), tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19695)))), 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(_u19695)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)))), tc_prod(_u19695, 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(_u19695)))), 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(_u19695)))), 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(_u19695))))), c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19695)))), 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(_u19695)))), tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19695)))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19695))))), tc_prod(_u19695, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), c_DSequence_Ounion(_u19695)), hAPP(hAPP(c_COMBB(_u19695, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19695)))), tc_prod(_u19695, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), c_DSequence_Osingle(_u19695)), c_Product__Type_Ofst(_u19695, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm)))))))) )).
% 20.36/20.63 cnf(matrix-7965, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u19700, _u19701, _u19702, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u19701) )).
% 20.36/20.63 cnf(matrix-7966, plain, ( ( c_Random__Sequence_Oempty(_u19703, _u19704, _u19705) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19703)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), c_DSequence_Oempty(_u19703))) )).
% 20.36/20.63 cnf(matrix-7967, plain, ( ( hAPP(hAPP(hAPP(c_Random__Sequence_Osingle(_u19706), _u19707), _u19708), _u19709) = 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(_u19706)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_DSequence_Osingle(_u19706), _u19707))) )).
% 20.36/20.63 cnf(matrix-7968, plain, ( ( c_Random__Sequence_Omap(_u19710, _u19711, _u19712, _u19713) = c_Random__Sequence_Obind(_u19710, _u19711, _u19713, hAPP(c_Fun_Ocomp(_u19711, 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(_u19711)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))))), _u19710, c_Random__Sequence_Osingle(_u19711)), _u19712))) )).
% 20.36/20.63 cnf(matrix-7969, plain, ( ~hBOOL(hAPP(hAPP(_u19716, hAPP(c_Product__Type_Osnd(_u19717, _u19718), _u19719)), hAPP(c_Product__Type_Ofst(_u19717, _u19718), _u19719))) | hBOOL(hAPP(_u19720, hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u19717, _u19718, _u19722), _u19721), _u19719))) | hBOOL(hAPP(hAPP(_u19716, skolem523(_u19722, _u19721, _u19720, _u19719, _u19718, _u19717, _u19716)), skolem522(_u19722, _u19721, _u19720, _u19719, _u19718, _u19717, _u19716))) )).
% 20.36/20.63 cnf(matrix-7970, plain, ( ~hBOOL(hAPP(hAPP(_u19716, hAPP(c_Product__Type_Osnd(_u19717, _u19718), _u19719)), hAPP(c_Product__Type_Ofst(_u19717, _u19718), _u19719))) | hBOOL(hAPP(_u19720, hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u19717, _u19718, _u19722), _u19721), _u19719))) | ~hBOOL(hAPP(_u19720, hAPP(hAPP(_u19721, skolem522(_u19722, _u19721, _u19720, _u19719, _u19718, _u19717, _u19716)), skolem523(_u19722, _u19721, _u19720, _u19719, _u19718, _u19717, _u19716)))) )).
% 20.36/20.63 cnf(matrix-7971, plain, ( ( hAPP(c_Relation_OImage(_u19723, _u19724, hAPP(c_Set_OCollect(tc_prod(_u19723, _u19724)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19723, _u19724, tc_HOL_Obool), _u19725))), _u19726) = hAPP(c_Set_OCollect(_u19724), hAPP(hAPP(c_COMBB(tc_fun(_u19723, tc_HOL_Obool), tc_HOL_Obool, _u19724), c_HOL_OEx(_u19723)), hAPP(hAPP(c_COMBB(tc_fun(_u19723, tc_HOL_Obool), tc_fun(_u19723, tc_HOL_Obool), _u19724), hAPP(c_COMBS(_u19723, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19723), c_fconj), hAPP(hAPP(c_COMBC(_u19723, tc_fun(_u19723, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19723)), _u19726)))), hAPP(c_COMBC(_u19723, _u19724, tc_HOL_Obool), _u19725))))) )).
% 20.36/20.63 cnf(matrix-7972, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19727), tc_List_Olist(_u19727))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19727), tc_List_Olist(_u19727)), _u19728), _u19729)), c_List_Olexord(_u19727, _u19730))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19727), tc_List_Olist(_u19727))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19727), tc_List_Olist(_u19727)), _u19729), _u19731)), c_List_Olexord(_u19727, _u19730))) | ~c_Relation_Otrans(_u19727, _u19730) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19727), tc_List_Olist(_u19727))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19727), tc_List_Olist(_u19727)), _u19728), _u19731)), c_List_Olexord(_u19727, _u19730))) )).
% 20.36/20.63 cnf(matrix-7973, plain, ( c_Relation_Otrans(tc_Nat_Onat, c_Wellfounded_Oless__than) )).
% 20.36/20.63 cnf(matrix-7974, plain, ( ~c_Relation_Otrans(_u19732, _u19733) | ~c_Relation_Otrans(_u19734, _u19735) | c_Relation_Otrans(tc_prod(_u19732, _u19734), c_Wellfounded_Olex__prod(_u19732, _u19734, _u19733, _u19735)) )).
% 20.36/20.63 cnf(matrix-7975, plain, ( ~c_Relation_Otrans(_u19736, _u19737) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19736, _u19736)), hAPP(hAPP(c_Product__Type_OPair(_u19736, _u19736), _u19738), _u19739)), _u19737)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19736, _u19736)), hAPP(hAPP(c_Product__Type_OPair(_u19736, _u19736), _u19739), _u19740)), _u19737)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19736, _u19736)), hAPP(hAPP(c_Product__Type_OPair(_u19736, _u19736), _u19738), _u19740)), _u19737)) )).
% 20.36/20.63 cnf(matrix-7976, plain, ( ~c_Relation_Otrans(_u19749, _u19751) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19749, _u19749)), hAPP(hAPP(c_Product__Type_OPair(_u19749, _u19749), _u19743), _u19742)), _u19751)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19749, _u19749)), hAPP(hAPP(c_Product__Type_OPair(_u19749, _u19749), _u19742), _u19741)), _u19751)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19749, _u19749)), hAPP(hAPP(c_Product__Type_OPair(_u19749, _u19749), _u19743), _u19741)), _u19751)) )).
% 20.36/20.63 cnf(matrix-7977, plain, ( c_Relation_Otrans(_u19750, _u19752) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19750, _u19750)), hAPP(hAPP(c_Product__Type_OPair(_u19750, _u19750), skolem524(_u19752, _u19750)), skolem525(_u19752, _u19750))), _u19752)) )).
% 20.36/20.63 cnf(matrix-7978, plain, ( c_Relation_Otrans(_u19750, _u19752) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19750, _u19750)), hAPP(hAPP(c_Product__Type_OPair(_u19750, _u19750), skolem525(_u19752, _u19750)), skolem526(_u19752, _u19750))), _u19752)) )).
% 20.36/20.63 cnf(matrix-7979, plain, ( c_Relation_Otrans(_u19750, _u19752) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19750, _u19750)), hAPP(hAPP(c_Product__Type_OPair(_u19750, _u19750), skolem524(_u19752, _u19750)), skolem526(_u19752, _u19750))), _u19752)) )).
% 20.36/20.63 cnf(matrix-7980, plain, ( c_Relation_Otrans(_u19753, c_Transitive__Closure_Ortrancl(_u19753, _u19754)) )).
% 20.36/20.63 cnf(matrix-7981, plain, ( c_Relation_Otrans(tc_fun(_u19755, tc_HOL_Obool), c_Wellfounded_Ofinite__psubset(_u19755)) )).
% 20.36/20.63 cnf(matrix-7982, plain, ( c_Relation_Otrans(_u19756, c_Relation_OId__on(_u19756, _u19757)) )).
% 20.36/20.63 cnf(matrix-7983, plain, ( ~c_Relation_Otrans(_u19758, _u19759) | ( c_Transitive__Closure_Otrancl(_u19758, _u19759) = _u19759) )).
% 20.36/20.63 cnf(matrix-7984, plain, ( c_Relation_Otrans(_u19760, c_Transitive__Closure_Otrancl(_u19760, _u19761)) )).
% 20.36/20.63 cnf(matrix-7985, plain, ( c_Relation_Otrans(_u19762, c_Relation_OId(_u19762)) )).
% 20.36/20.63 cnf(matrix-7986, plain, ( ~c_Relation_Otrans(_u19763, _u19764) | c_Relation_Otrans(tc_List_Olist(_u19763), c_List_Olexord(_u19763, _u19764)) )).
% 20.36/20.63 cnf(matrix-7987, plain, ( ~c_Relation_Otrans(_u19767, hAPP(c_Relation_Oconverse(_u19767, _u19767), _u19769)) | c_Relation_Otrans(_u19767, _u19769) )).
% 20.36/20.63 cnf(matrix-7988, plain, ( ~c_Relation_Otrans(_u19768, _u19770) | c_Relation_Otrans(_u19768, hAPP(c_Relation_Oconverse(_u19768, _u19768), _u19770)) )).
% 20.36/20.63 cnf(matrix-7989, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19772), _u19771), c_Orderings_Obot__class_Obot(tc_fun(_u19772, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u19773, _u19771)) )).
% 20.36/20.63 cnf(matrix-7990, plain, ( ~c_Relation_Otrans(_u19774, _u19775) | c_Relation_Otrans(tc_List_Olist(_u19774), c_List_Olistrel(_u19774, _u19775)) )).
% 20.36/20.63 cnf(matrix-7991, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19778), _u19779)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19780), hAPP(c_Set_OCollect(_u19780), hAPP(hAPP(c_COMBB(tc_fun(_u19778, tc_HOL_Obool), tc_HOL_Obool, _u19780), c_HOL_OEx(_u19778)), hAPP(hAPP(c_COMBB(tc_fun(_u19778, tc_HOL_Obool), tc_fun(_u19778, tc_HOL_Obool), _u19780), hAPP(c_COMBS(_u19778, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19778), c_fconj), hAPP(hAPP(c_COMBC(_u19778, tc_fun(_u19778, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19778)), _u19779)))), _u19781))))) | ~hBOOL(hAPP(hAPP(c_member(_u19778), _u19776), _u19779)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19780), hAPP(c_Set_OCollect(_u19780), hAPP(hAPP(c_COMBC(_u19780, _u19778, tc_HOL_Obool), _u19781), _u19776)))) )).
% 20.36/20.63 cnf(matrix-7992, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19778), _u19779)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19780), hAPP(c_Set_OCollect(_u19780), hAPP(hAPP(c_COMBB(tc_fun(_u19778, tc_HOL_Obool), tc_HOL_Obool, _u19780), c_HOL_OEx(_u19778)), hAPP(hAPP(c_COMBB(tc_fun(_u19778, tc_HOL_Obool), tc_fun(_u19778, tc_HOL_Obool), _u19780), hAPP(c_COMBS(_u19778, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19778), c_fconj), hAPP(hAPP(c_COMBC(_u19778, tc_fun(_u19778, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19778)), _u19779)))), _u19781))))) | hBOOL(hAPP(hAPP(c_member(_u19778), skolem527(_u19781, _u19780, _u19779, _u19778)), _u19779)) )).
% 20.36/20.63 cnf(matrix-7993, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19778), _u19779)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19780), hAPP(c_Set_OCollect(_u19780), hAPP(hAPP(c_COMBB(tc_fun(_u19778, tc_HOL_Obool), tc_HOL_Obool, _u19780), c_HOL_OEx(_u19778)), hAPP(hAPP(c_COMBB(tc_fun(_u19778, tc_HOL_Obool), tc_fun(_u19778, tc_HOL_Obool), _u19780), hAPP(c_COMBS(_u19778, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19778), c_fconj), hAPP(hAPP(c_COMBC(_u19778, tc_fun(_u19778, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19778)), _u19779)))), _u19781))))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19780), hAPP(c_Set_OCollect(_u19780), hAPP(hAPP(c_COMBC(_u19780, _u19778, tc_HOL_Obool), _u19781), skolem527(_u19781, _u19780, _u19779, _u19778))))) )).
% 20.36/20.63 cnf(matrix-7994, plain, ( hBOOL(hAPP(_u19790, skolem528(_u19790))) | ~hBOOL(hAPP(hAPP(c_member(_u19788), _u19782), c_Orderings_Otop__class_Otop(tc_fun(_u19788, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u19790, _u19782)) )).
% 20.36/20.63 cnf(matrix-7995, plain, ( ~hBOOL(hAPP(_u19791, _u19784)) | hBOOL(hAPP(hAPP(c_member(_u19789), skolem529(_u19791, _u19789)), c_Orderings_Otop__class_Otop(tc_fun(_u19789, tc_HOL_Obool)))) )).
% 20.36/20.63 cnf(matrix-7996, plain, ( ~hBOOL(hAPP(_u19791, _u19784)) | hBOOL(hAPP(_u19791, skolem529(_u19791, _u19789))) )).
% 20.36/20.63 cnf(matrix-7997, plain, ( ~c_Relation_Otrans(_u19792, _u19793) | ~c_Relation_Otrans(_u19792, _u19794) | c_Relation_Otrans(_u19792, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u19792, _u19792), tc_HOL_Obool)), _u19793), _u19794)) )).
% 20.36/20.63 cnf(matrix-7998, plain, ( ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19795, tc_HOL_Obool) = c_Set_OBex(_u19795)) )).
% 20.36/20.63 cnf(matrix-7999, plain, ( ~c_Relation_Otrans(_u19796, _u19797) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19796, _u19796), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u19796, _u19796, _u19796), _u19797), _u19797)), _u19797)) )).
% 20.36/20.63 cnf(matrix-8000, plain, ( ~c_Relation_Otrans(_u19798, _u19799) | c_Relation_Otrans(_u19798, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19798, _u19798), tc_HOL_Obool)), _u19799), c_Relation_OId(_u19798))) )).
% 20.36/20.63 cnf(matrix-8001, plain, ( ~c_Relation_Otrans(_u19800, _u19801) | c_Relation_Otrans(_u19802, hAPP(hAPP(c_Relation_Oinv__image(_u19800, _u19802), _u19801), _u19803)) )).
% 20.36/20.63 cnf(matrix-8002, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19804, tc_HOL_Obool), _u19805) = hAPP(c_Set_OCollect(_u19804), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19804, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, _u19804), c_HOL_OEx(tc_fun(_u19804, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19804, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u19804, tc_HOL_Obool), tc_HOL_Obool), _u19804), hAPP(c_COMBS(tc_fun(_u19804, 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(_u19804, tc_HOL_Obool)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19804, tc_HOL_Obool), tc_fun(tc_fun(_u19804, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19804, tc_HOL_Obool))), _u19805)))), c_member(_u19804))))) )).
% 20.36/20.63 cnf(matrix-8003, plain, ( ~c_List_Olist__ex(_u19811, _u19813, _u19815) | hBOOL(hAPP(hAPP(c_member(_u19811), skolem530(_u19815, _u19813, _u19811)), hAPP(c_List_Oset(_u19811), _u19815))) )).
% 20.36/20.63 cnf(matrix-8004, plain, ( ~c_List_Olist__ex(_u19811, _u19813, _u19815) | hBOOL(hAPP(_u19813, skolem530(_u19815, _u19813, _u19811))) )).
% 20.36/20.63 cnf(matrix-8005, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19812), _u19807), hAPP(c_List_Oset(_u19812), _u19816))) | ~hBOOL(hAPP(_u19814, _u19807)) | c_List_Olist__ex(_u19812, _u19814, _u19816) )).
% 20.36/20.63 cnf(matrix-8006, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19822), _u19817), hAPP(c_List_Oset(_u19822), _u19824))) | ~hBOOL(hAPP(_u19826, _u19817)) | c_List_Olist__ex(_u19822, _u19826, _u19824) )).
% 20.36/20.63 cnf(matrix-8007, plain, ( ~c_List_Olist__ex(_u19823, _u19827, _u19825) | hBOOL(hAPP(hAPP(c_member(_u19823), skolem531(_u19827, _u19825, _u19823)), hAPP(c_List_Oset(_u19823), _u19825))) )).
% 20.36/20.63 cnf(matrix-8008, plain, ( ~c_List_Olist__ex(_u19823, _u19827, _u19825) | hBOOL(hAPP(_u19827, skolem531(_u19827, _u19825, _u19823))) )).
% 20.36/20.63 cnf(matrix-8009, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19828, tc_fun(_u19829, tc_HOL_Obool)), _u19830), _u19831) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19829, tc_HOL_Obool), hAPP(c_Set_OCollect(tc_fun(_u19829, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19828, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u19829, tc_HOL_Obool)), c_HOL_OEx(_u19828)), hAPP(hAPP(c_COMBB(tc_fun(_u19828, tc_HOL_Obool), tc_fun(_u19828, tc_HOL_Obool), tc_fun(_u19829, tc_HOL_Obool)), hAPP(c_COMBS(_u19828, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19828), c_fconj), hAPP(hAPP(c_COMBC(_u19828, tc_fun(_u19828, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19828)), _u19830)))), hAPP(hAPP(c_COMBC(tc_fun(_u19829, tc_HOL_Obool), tc_fun(_u19828, tc_fun(_u19829, tc_HOL_Obool)), tc_fun(_u19828, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19829, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u19828, tc_fun(_u19829, tc_HOL_Obool)), tc_fun(_u19828, tc_HOL_Obool)), tc_fun(_u19829, tc_HOL_Obool)), c_COMBB(tc_fun(_u19829, tc_HOL_Obool), tc_HOL_Obool, _u19828)), c_fequal)), _u19831)))))) )).
% 20.36/20.63 cnf(matrix-8010, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19832, tc_fun(_u19833, tc_HOL_Obool)), _u19834), _u19835) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u19833, tc_HOL_Obool), hAPP(c_Set_OCollect(tc_fun(_u19833, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19832, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u19833, tc_HOL_Obool)), c_HOL_OEx(_u19832)), hAPP(hAPP(c_COMBB(tc_fun(_u19832, tc_HOL_Obool), tc_fun(_u19832, tc_HOL_Obool), tc_fun(_u19833, tc_HOL_Obool)), hAPP(c_COMBS(_u19832, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19832), c_fconj), hAPP(hAPP(c_COMBC(_u19832, tc_fun(_u19832, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19832)), _u19834)))), hAPP(hAPP(c_COMBC(tc_fun(_u19833, tc_HOL_Obool), tc_fun(_u19832, tc_fun(_u19833, tc_HOL_Obool)), tc_fun(_u19832, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19833, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u19832, tc_fun(_u19833, tc_HOL_Obool)), tc_fun(_u19832, tc_HOL_Obool)), tc_fun(_u19833, tc_HOL_Obool)), c_COMBB(tc_fun(_u19833, tc_HOL_Obool), tc_HOL_Obool, _u19832)), c_fequal)), _u19835)))))) )).
% 20.36/20.63 cnf(matrix-8011, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19836) | ( hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19837, _u19836), _u19838), _u19839) = c_Complete__Lattice_OSup__class_OSup(_u19836, hAPP(c_Set_OCollect(_u19836), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19837, _u19836), tc_HOL_Obool), tc_HOL_Obool, _u19836), c_HOL_OEx(tc_fun(_u19837, _u19836))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19837, _u19836), tc_HOL_Obool), tc_fun(tc_fun(_u19837, _u19836), tc_HOL_Obool), _u19836), hAPP(c_COMBS(tc_fun(_u19837, _u19836), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u19837, _u19836)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19837, _u19836), tc_fun(tc_fun(_u19837, _u19836), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19837, _u19836))), _u19838)))), hAPP(hAPP(c_COMBC(_u19836, tc_fun(tc_fun(_u19837, _u19836), _u19836), tc_fun(tc_fun(_u19837, _u19836), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19836, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u19837, _u19836), _u19836), tc_fun(tc_fun(_u19837, _u19836), tc_HOL_Obool)), _u19836), c_COMBB(_u19836, tc_HOL_Obool, tc_fun(_u19837, _u19836))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u19837, _u19836), _u19837, _u19836), c_COMBI(tc_fun(_u19837, _u19836))), _u19839))))))) )).
% 20.36/20.63 cnf(matrix-8012, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19840) | ( hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19841, _u19840), _u19842), _u19843) = c_Complete__Lattice_OSup__class_OSup(_u19840, hAPP(c_Set_OCollect(_u19840), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19841, _u19840), tc_HOL_Obool), tc_HOL_Obool, _u19840), c_HOL_OEx(tc_fun(_u19841, _u19840))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19841, _u19840), tc_HOL_Obool), tc_fun(tc_fun(_u19841, _u19840), tc_HOL_Obool), _u19840), hAPP(c_COMBS(tc_fun(_u19841, _u19840), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u19841, _u19840)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19841, _u19840), tc_fun(tc_fun(_u19841, _u19840), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19841, _u19840))), _u19842)))), hAPP(hAPP(c_COMBC(_u19840, tc_fun(tc_fun(_u19841, _u19840), _u19840), tc_fun(tc_fun(_u19841, _u19840), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19840, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u19841, _u19840), _u19840), tc_fun(tc_fun(_u19841, _u19840), tc_HOL_Obool)), _u19840), c_COMBB(_u19840, tc_HOL_Obool, tc_fun(_u19841, _u19840))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u19841, _u19840), _u19841, _u19840), c_COMBI(tc_fun(_u19841, _u19840))), _u19843))))))) )).
% 20.36/20.63 cnf(matrix-8013, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19844) | ( hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(_u19845, _u19844), _u19846), _u19847) = c_Complete__Lattice_OInf__class_OInf(_u19844, hAPP(c_Set_OCollect(_u19844), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19845, _u19844), tc_HOL_Obool), tc_HOL_Obool, _u19844), c_HOL_OEx(tc_fun(_u19845, _u19844))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19845, _u19844), tc_HOL_Obool), tc_fun(tc_fun(_u19845, _u19844), tc_HOL_Obool), _u19844), hAPP(c_COMBS(tc_fun(_u19845, _u19844), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u19845, _u19844)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19845, _u19844), tc_fun(tc_fun(_u19845, _u19844), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19845, _u19844))), _u19846)))), hAPP(hAPP(c_COMBC(_u19844, tc_fun(tc_fun(_u19845, _u19844), _u19844), tc_fun(tc_fun(_u19845, _u19844), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19844, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u19845, _u19844), _u19844), tc_fun(tc_fun(_u19845, _u19844), tc_HOL_Obool)), _u19844), c_COMBB(_u19844, tc_HOL_Obool, tc_fun(_u19845, _u19844))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u19845, _u19844), _u19845, _u19844), c_COMBI(tc_fun(_u19845, _u19844))), _u19847))))))) )).
% 20.36/20.63 cnf(matrix-8014, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19848) | ( hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(_u19849, _u19848), _u19850), _u19851) = c_Complete__Lattice_OInf__class_OInf(_u19848, hAPP(c_Set_OCollect(_u19848), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19849, _u19848), tc_HOL_Obool), tc_HOL_Obool, _u19848), c_HOL_OEx(tc_fun(_u19849, _u19848))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19849, _u19848), tc_HOL_Obool), tc_fun(tc_fun(_u19849, _u19848), tc_HOL_Obool), _u19848), hAPP(c_COMBS(tc_fun(_u19849, _u19848), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u19849, _u19848)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19849, _u19848), tc_fun(tc_fun(_u19849, _u19848), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19849, _u19848))), _u19850)))), hAPP(hAPP(c_COMBC(_u19848, tc_fun(tc_fun(_u19849, _u19848), _u19848), tc_fun(tc_fun(_u19849, _u19848), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19848, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u19849, _u19848), _u19848), tc_fun(tc_fun(_u19849, _u19848), tc_HOL_Obool)), _u19848), c_COMBB(_u19848, tc_HOL_Obool, tc_fun(_u19849, _u19848))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u19849, _u19848), _u19849, _u19848), c_COMBI(tc_fun(_u19849, _u19848))), _u19851))))))) )).
% 20.36/20.63 cnf(matrix-8015, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19854), _u19855)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19854), _u19856)) | ( _u19856 = c_Orderings_Obot__class_Obot(tc_fun(_u19854, tc_HOL_Obool))) | c_Wellfounded_Omax__extp(_u19854, _u19857, _u19855, _u19856) | hBOOL(hAPP(hAPP(c_member(_u19854), skolem532(_u19857, _u19856, _u19855, _u19854)), _u19855)) )).
% 20.36/20.63 cnf(matrix-8016, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19854), _u19855)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19854), _u19856)) | ( _u19856 = c_Orderings_Obot__class_Obot(tc_fun(_u19854, tc_HOL_Obool))) | c_Wellfounded_Omax__extp(_u19854, _u19857, _u19855, _u19856) | ~hBOOL(hAPP(hAPP(c_member(_u19854), _u19852), _u19856)) | ~hBOOL(hAPP(hAPP(_u19857, skolem532(_u19857, _u19856, _u19855, _u19854)), _u19852)) )).
% 20.36/20.63 cnf(matrix-8017, plain, ( ~c_Predicate_Otransp(_u19860, _u19862) | c_Relation_Otrans(_u19860, hAPP(c_Set_OCollect(tc_prod(_u19860, _u19860)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19860, _u19860, tc_HOL_Obool), _u19862))) )).
% 20.36/20.63 cnf(matrix-8018, plain, ( ~c_Relation_Otrans(_u19861, hAPP(c_Set_OCollect(tc_prod(_u19861, _u19861)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19861, _u19861, tc_HOL_Obool), _u19863))) | c_Predicate_Otransp(_u19861, _u19863) )).
% 20.36/20.63 cnf(matrix-8019, plain, ( ~hBOOL(hAPP(hAPP(_u19865, _u19866), _u19867)) | ~hBOOL(hAPP(hAPP(_u19865, _u19867), _u19868)) | hBOOL(hAPP(hAPP(_u19865, _u19866), _u19868)) | ~c_Predicate_Otransp(_u19864, _u19865) )).
% 20.36/20.63 cnf(matrix-8020, plain, ( ~c_Equiv__Relations_Oequivp(_u19869, _u19870) | c_Predicate_Oreflp(_u19869, _u19870) )).
% 20.36/20.63 cnf(matrix-8021, plain, ( ~c_Equiv__Relations_Oequivp(_u19869, _u19870) | c_Predicate_Osymp(_u19869, _u19870) )).
% 20.36/20.63 cnf(matrix-8022, plain, ( ~c_Equiv__Relations_Oequivp(_u19869, _u19870) | c_Predicate_Otransp(_u19869, _u19870) )).
% 20.36/20.63 cnf(matrix-8023, plain, ( ~c_Predicate_Oreflp(_u19871, _u19872) | ~c_Predicate_Osymp(_u19871, _u19872) | ~c_Predicate_Otransp(_u19871, _u19872) | c_Equiv__Relations_Oequivp(_u19871, _u19872) )).
% 20.36/20.63 cnf(matrix-8024, plain, ( ~hBOOL(hAPP(hAPP(_u19874, _u19875), _u19876)) | hBOOL(hAPP(hAPP(_u19874, _u19876), _u19875)) | ~c_Predicate_Osymp(_u19873, _u19874) )).
% 20.36/20.63 cnf(matrix-8025, plain, ( ~c_Equiv__Relations_Oequivp(_u19879, _u19881) | c_Predicate_Oreflp(_u19879, _u19881) )).
% 20.36/20.63 cnf(matrix-8026, plain, ( ~c_Equiv__Relations_Oequivp(_u19879, _u19881) | c_Predicate_Osymp(_u19879, _u19881) )).
% 20.36/20.63 cnf(matrix-8027, plain, ( ~c_Equiv__Relations_Oequivp(_u19879, _u19881) | c_Predicate_Otransp(_u19879, _u19881) )).
% 20.36/20.63 cnf(matrix-8028, plain, ( ~c_Predicate_Oreflp(_u19880, _u19882) | ~c_Predicate_Osymp(_u19880, _u19882) | ~c_Predicate_Otransp(_u19880, _u19882) | c_Equiv__Relations_Oequivp(_u19880, _u19882) )).
% 20.36/20.63 cnf(matrix-8029, plain, ( ~c_Wellfounded_Omax__extp(_u19891, _u19893, _u19895, _u19897) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19891), _u19895)) )).
% 20.36/20.63 cnf(matrix-8030, plain, ( ~c_Wellfounded_Omax__extp(_u19891, _u19893, _u19895, _u19897) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19891), _u19897)) )).
% 20.36/20.63 cnf(matrix-8031, plain, ( ~c_Wellfounded_Omax__extp(_u19891, _u19893, _u19895, _u19897) | ( _u19897 != c_Orderings_Obot__class_Obot(tc_fun(_u19891, tc_HOL_Obool))) )).
% 20.36/20.63 cnf(matrix-8032, plain, ( ~c_Wellfounded_Omax__extp(_u19891, _u19893, _u19895, _u19897) | ~hBOOL(hAPP(hAPP(c_member(_u19891), _u19884), _u19895)) | hBOOL(hAPP(hAPP(c_member(_u19891), skolem533(_u19897, _u19895, _u19893, _u19891, _u19884)), _u19897)) )).
% 20.36/20.63 cnf(matrix-8033, plain, ( ~c_Wellfounded_Omax__extp(_u19891, _u19893, _u19895, _u19897) | ~hBOOL(hAPP(hAPP(c_member(_u19891), _u19884), _u19895)) | hBOOL(hAPP(hAPP(_u19893, _u19884), skolem533(_u19897, _u19895, _u19893, _u19891, _u19884))) )).
% 20.36/20.63 cnf(matrix-8034, plain, ( c_Wellfounded_Omax__extp(_u19892, _u19894, _u19896, _u19898) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19892), _u19896)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19892), _u19898)) | ( _u19898 = c_Orderings_Obot__class_Obot(tc_fun(_u19892, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u19892), skolem534(_u19898, _u19896, _u19894, _u19892)), _u19896)) )).
% 20.36/20.63 cnf(matrix-8035, plain, ( c_Wellfounded_Omax__extp(_u19892, _u19894, _u19896, _u19898) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19892), _u19896)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19892), _u19898)) | ( _u19898 = c_Orderings_Obot__class_Obot(tc_fun(_u19892, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u19892), _u19885), _u19898)) | ~hBOOL(hAPP(hAPP(_u19894, skolem534(_u19898, _u19896, _u19894, _u19892)), _u19885)) )).
% 20.36/20.63 cnf(matrix-8036, plain, ( ~c_Relation_Otrans(_u19899, _u19900) | ~c_Relation_Oantisym(_u19899, _u19900) | c_Relation_Otrans(_u19899, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u19899, _u19899), tc_HOL_Obool)), _u19900), c_Relation_OId(_u19899))) )).
% 20.36/20.63 cnf(matrix-8037, plain, ( c_Relation_Oantisym(_u19901, c_Relation_OId__on(_u19901, _u19902)) )).
% 20.36/20.63 cnf(matrix-8038, plain, ( c_Relation_Oantisym(_u19903, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u19903, _u19903), tc_HOL_Obool))) )).
% 20.36/20.63 cnf(matrix-8039, plain, ( ~c_Relation_Oantisym(_u19906, hAPP(c_Relation_Oconverse(_u19906, _u19906), _u19908)) | c_Relation_Oantisym(_u19906, _u19908) )).
% 20.36/20.63 cnf(matrix-8040, plain, ( ~c_Relation_Oantisym(_u19907, _u19909) | c_Relation_Oantisym(_u19907, hAPP(c_Relation_Oconverse(_u19907, _u19907), _u19909)) )).
% 20.36/20.63 cnf(matrix-8041, plain, ( c_Relation_Oantisym(_u19910, c_Relation_OId(_u19910)) )).
% 20.36/20.63 cnf(matrix-8042, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19911, _u19911), tc_HOL_Obool)), _u19912), _u19913)) | ~c_Relation_Oantisym(_u19911, _u19913) | c_Relation_Oantisym(_u19911, _u19912) )).
% 20.36/20.63 cnf(matrix-8043, plain, ( ~c_Relation_Oantisym(_u19914, _u19915) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19914, _u19914)), hAPP(hAPP(c_Product__Type_OPair(_u19914, _u19914), _u19916), _u19917)), _u19915)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19914, _u19914)), hAPP(hAPP(c_Product__Type_OPair(_u19914, _u19914), _u19917), _u19916)), _u19915)) | ( _u19916 = _u19917) )).
% 20.36/20.63 cnf(matrix-8044, plain, ( ~c_Relation_Oantisym(_u19924, _u19926) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19924, _u19924)), hAPP(hAPP(c_Product__Type_OPair(_u19924, _u19924), _u19919), _u19918)), _u19926)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19924, _u19924)), hAPP(hAPP(c_Product__Type_OPair(_u19924, _u19924), _u19918), _u19919)), _u19926)) | ( _u19919 = _u19918) )).
% 20.36/20.63 cnf(matrix-8045, plain, ( c_Relation_Oantisym(_u19925, _u19927) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19925, _u19925)), hAPP(hAPP(c_Product__Type_OPair(_u19925, _u19925), skolem535(_u19927, _u19925)), skolem536(_u19927, _u19925))), _u19927)) )).
% 20.36/20.63 cnf(matrix-8046, plain, ( c_Relation_Oantisym(_u19925, _u19927) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19925, _u19925)), hAPP(hAPP(c_Product__Type_OPair(_u19925, _u19925), skolem536(_u19927, _u19925)), skolem535(_u19927, _u19925))), _u19927)) )).
% 20.36/20.63 cnf(matrix-8047, plain, ( c_Relation_Oantisym(_u19925, _u19927) | ( skolem535(_u19927, _u19925) != skolem536(_u19927, _u19925)) )).
% 20.36/20.63 cnf(matrix-8048, plain, ( ~c_Relation_Oantisym(_u19930, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19930, _u19930), tc_HOL_Obool)), _u19932), c_Relation_OId(_u19930))) | c_Relation_Oantisym(_u19930, _u19932) )).
% 20.36/20.63 cnf(matrix-8049, plain, ( ~c_Relation_Oantisym(_u19931, _u19933) | c_Relation_Oantisym(_u19931, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19931, _u19931), tc_HOL_Obool)), _u19933), c_Relation_OId(_u19931))) )).
% 20.36/20.63 cnf(matrix-8050, plain, ( ~c_Wellfounded_Oacyclic(_u19934, _u19935) | c_Relation_Oantisym(_u19934, c_Transitive__Closure_Ortrancl(_u19934, _u19935)) )).
% 20.36/20.63 cnf(matrix-8051, plain, ( ( c_Partial__Function_Ofun__lub(_u19936, _u19937, _u19938, _u19939, _u19940, _u19941) = hAPP(_u19939, hAPP(c_Set_OCollect(_u19936), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19938, _u19936), tc_HOL_Obool), tc_HOL_Obool, _u19936), c_HOL_OEx(tc_fun(_u19938, _u19936))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19938, _u19936), tc_HOL_Obool), tc_fun(tc_fun(_u19938, _u19936), tc_HOL_Obool), _u19936), hAPP(c_COMBS(tc_fun(_u19938, _u19936), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u19938, _u19936)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19938, _u19936), tc_fun(tc_fun(_u19938, _u19936), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19938, _u19936))), _u19940)))), hAPP(hAPP(c_COMBC(_u19936, tc_fun(tc_fun(_u19938, _u19936), _u19936), tc_fun(tc_fun(_u19938, _u19936), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19936, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u19938, _u19936), _u19936), tc_fun(tc_fun(_u19938, _u19936), tc_HOL_Obool)), _u19936), c_COMBB(_u19936, tc_HOL_Obool, tc_fun(_u19938, _u19936))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u19938, _u19936), _u19938, _u19936), c_COMBI(tc_fun(_u19938, _u19936))), _u19941))))))) )).
% 20.36/20.63 cnf(matrix-8052, plain, ( ~c_Relation_Osym(_u19942, _u19943) | ~c_Relation_Otrans(_u19942, _u19943) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19942, _u19942), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u19942, _u19942, _u19942), hAPP(c_Relation_Oconverse(_u19942, _u19942), _u19943)), _u19943)), _u19943)) )).
% 20.36/20.63 cnf(matrix-8053, plain, ( ~c_Relation_Osym(_u19944, _u19945) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19944, _u19944)), hAPP(hAPP(c_Product__Type_OPair(_u19944, _u19944), _u19946), _u19947)), _u19945)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19944, _u19944)), hAPP(hAPP(c_Product__Type_OPair(_u19944, _u19944), _u19947), _u19946)), _u19945)) )).
% 20.36/20.63 cnf(matrix-8054, plain, ( ~c_Relation_Osym(_u19954, _u19956) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19954, _u19954)), hAPP(hAPP(c_Product__Type_OPair(_u19954, _u19954), _u19949), _u19948)), _u19956)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19954, _u19954)), hAPP(hAPP(c_Product__Type_OPair(_u19954, _u19954), _u19948), _u19949)), _u19956)) )).
% 20.36/20.63 cnf(matrix-8055, plain, ( c_Relation_Osym(_u19955, _u19957) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19955, _u19955)), hAPP(hAPP(c_Product__Type_OPair(_u19955, _u19955), skolem537(_u19957, _u19955)), skolem538(_u19957, _u19955))), _u19957)) )).
% 20.36/20.63 cnf(matrix-8056, plain, ( c_Relation_Osym(_u19955, _u19957) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19955, _u19955)), hAPP(hAPP(c_Product__Type_OPair(_u19955, _u19955), skolem538(_u19957, _u19955)), skolem537(_u19957, _u19955))), _u19957)) )).
% 20.36/20.63 cnf(matrix-8057, plain, ( ~c_Relation_Osym(_u19958, _u19959) | c_Relation_Osym(_u19958, c_Transitive__Closure_Ortrancl(_u19958, _u19959)) )).
% 20.36/20.63 cnf(matrix-8058, plain, ( c_Relation_Osym(_u19960, c_Relation_OId__on(_u19960, _u19961)) )).
% 20.36/20.63 cnf(matrix-8059, plain, ( ~c_Relation_Osym(_u19962, _u19963) | c_Relation_Osym(_u19962, c_Transitive__Closure_Otrancl(_u19962, _u19963)) )).
% 20.36/20.63 cnf(matrix-8060, plain, ( ~c_Relation_Osym(_u19964, _u19965) | ~c_Relation_Osym(_u19964, _u19966) | c_Relation_Osym(_u19964, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19964, _u19964), tc_HOL_Obool)), _u19965), _u19966)) )).
% 20.36/20.63 cnf(matrix-8061, plain, ( c_Relation_Osym(_u19967, c_Relation_OId(_u19967)) )).
% 20.36/20.63 cnf(matrix-8062, plain, ( ~c_Relation_Osym(_u19970, _u19972) | ( hAPP(c_Relation_Oconverse(_u19970, _u19970), _u19972) = _u19972) )).
% 20.36/20.63 cnf(matrix-8063, plain, ( ( hAPP(c_Relation_Oconverse(_u19971, _u19971), _u19973) != _u19973) | c_Relation_Osym(_u19971, _u19973) )).
% 20.36/20.63 cnf(matrix-8064, plain, ( ~c_Relation_Osym(_u19976, hAPP(c_Relation_Oconverse(_u19976, _u19976), _u19978)) | c_Relation_Osym(_u19976, _u19978) )).
% 20.36/20.63 cnf(matrix-8065, plain, ( ~c_Relation_Osym(_u19977, _u19979) | c_Relation_Osym(_u19977, hAPP(c_Relation_Oconverse(_u19977, _u19977), _u19979)) )).
% 20.36/20.63 cnf(matrix-8066, plain, ( ~c_Relation_Osym(_u19980, _u19981) | c_Relation_Osym(tc_List_Olist(_u19980), c_List_Olistrel(_u19980, _u19981)) )).
% 20.36/20.63 cnf(matrix-8067, plain, ( ~c_Relation_Osym(_u19982, _u19983) | ~c_Relation_Osym(_u19982, _u19984) | c_Relation_Osym(_u19982, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u19982, _u19982), tc_HOL_Obool)), _u19983), _u19984)) )).
% 20.36/20.63 cnf(matrix-8068, plain, ( c_Relation_Osym(_u19985, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19985, _u19985), tc_HOL_Obool)), _u19986), hAPP(c_Relation_Oconverse(_u19985, _u19985), _u19986))) )).
% 20.36/20.63 cnf(matrix-8069, plain, ( ~c_Relation_Osym(_u19987, _u19988) | c_Relation_Osym(_u19989, hAPP(hAPP(c_Relation_Oinv__image(_u19987, _u19989), _u19988), _u19990)) )).
% 20.36/20.63 cnf(matrix-8070, plain, ( c_Relation_Osym(_u19991, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u19991, _u19991), tc_HOL_Obool)), _u19992), hAPP(c_Relation_Oconverse(_u19991, _u19991), _u19992))) )).
% 20.36/20.63 cnf(matrix-8071, plain, ( ~c_Equiv__Relations_Oequiv(_u19996, _u19998, _u20000) | c_Relation_Orefl__on(_u19996, _u19998, _u20000) )).
% 20.36/20.63 cnf(matrix-8072, plain, ( ~c_Equiv__Relations_Oequiv(_u19996, _u19998, _u20000) | c_Relation_Osym(_u19996, _u20000) )).
% 20.36/20.63 cnf(matrix-8073, plain, ( ~c_Equiv__Relations_Oequiv(_u19996, _u19998, _u20000) | c_Relation_Otrans(_u19996, _u20000) )).
% 20.36/20.63 cnf(matrix-8074, plain, ( ~c_Relation_Orefl__on(_u19997, _u19999, _u20001) | ~c_Relation_Osym(_u19997, _u20001) | ~c_Relation_Otrans(_u19997, _u20001) | c_Equiv__Relations_Oequiv(_u19997, _u19999, _u20001) )).
% 20.36/20.63 cnf(matrix-8075, plain, ( ~c_Relation_Orefl__on(_u20002, _u20003, _u20004) | ~c_Relation_Osym(_u20002, _u20004) | ~c_Relation_Otrans(_u20002, _u20004) | c_Equiv__Relations_Oequiv(_u20002, _u20003, _u20004) )).
% 20.36/20.63 cnf(matrix-8076, plain, ( ~c_Equiv__Relations_Oequiv(_u20005, _u20006, _u20007) | c_Relation_Orefl__on(_u20005, _u20006, _u20007) )).
% 20.36/20.63 cnf(matrix-8077, plain, ( ~c_Equiv__Relations_Oequiv(_u20005, _u20006, _u20007) | c_Relation_Osym(_u20005, _u20007) )).
% 20.36/20.63 cnf(matrix-8078, plain, ( ~c_Equiv__Relations_Oequiv(_u20005, _u20006, _u20007) | c_Relation_Otrans(_u20005, _u20007) )).
% 20.36/20.63 cnf(matrix-8079, plain, ( ~c_Predicate_Osymp(_u20010, _u20012) | c_Relation_Osym(_u20010, hAPP(c_Set_OCollect(tc_prod(_u20010, _u20010)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20010, _u20010, tc_HOL_Obool), _u20012))) )).
% 20.36/20.63 cnf(matrix-8080, plain, ( ~c_Relation_Osym(_u20011, hAPP(c_Set_OCollect(tc_prod(_u20011, _u20011)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20011, _u20011, tc_HOL_Obool), _u20013))) | c_Predicate_Osymp(_u20011, _u20013) )).
% 20.36/20.63 cnf(matrix-8081, plain, ( ~hBOOL(hAPP(hAPP(_u20015, _u20014), _u20014)) | ~c_Predicate_Osymp(_u20016, _u20015) | ~c_Predicate_Otransp(_u20016, _u20015) | c_Equiv__Relations_Opart__equivp(_u20016, _u20015) )).
% 20.36/20.63 cnf(matrix-8082, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20021, _u20023) | hBOOL(hAPP(hAPP(_u20023, skolem539(_u20023, _u20021)), skolem539(_u20023, _u20021))) )).
% 20.36/20.63 cnf(matrix-8083, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20021, _u20023) | c_Predicate_Osymp(_u20021, _u20023) )).
% 20.36/20.63 cnf(matrix-8084, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20021, _u20023) | c_Predicate_Otransp(_u20021, _u20023) )).
% 20.36/20.63 cnf(matrix-8085, plain, ( ~hBOOL(hAPP(hAPP(_u20024, _u20018), _u20018)) | ~c_Predicate_Osymp(_u20022, _u20024) | ~c_Predicate_Otransp(_u20022, _u20024) | c_Equiv__Relations_Opart__equivp(_u20022, _u20024) )).
% 20.36/20.63 cnf(matrix-8086, plain, ( ~hBOOL(hAPP(hAPP(_u20026, _u20027), _u20028)) | ~hBOOL(hAPP(hAPP(_u20026, _u20028), _u20029)) | hBOOL(hAPP(hAPP(_u20026, _u20027), _u20029)) | ~c_Equiv__Relations_Opart__equivp(_u20025, _u20026) )).
% 20.36/20.63 cnf(matrix-8087, plain, ( ~hBOOL(hAPP(hAPP(_u20031, _u20032), _u20033)) | hBOOL(hAPP(hAPP(_u20031, _u20033), _u20032)) | ~c_Equiv__Relations_Opart__equivp(_u20030, _u20031) )).
% 20.36/20.63 cnf(matrix-8088, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20050, _u20052) | hBOOL(hAPP(hAPP(_u20052, skolem540(_u20052)), skolem540(_u20052))) )).
% 20.36/20.63 cnf(matrix-8089, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20050, _u20052) | ~hBOOL(hAPP(hAPP(_u20052, _u20044), _u20042)) | hBOOL(hAPP(hAPP(_u20052, _u20044), _u20044)) )).
% 20.36/20.63 cnf(matrix-8090, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20050, _u20052) | ~hBOOL(hAPP(hAPP(_u20052, _u20044), _u20042)) | hBOOL(hAPP(hAPP(_u20052, _u20042), _u20042)) )).
% 20.36/20.63 cnf(matrix-8091, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20050, _u20052) | ~hBOOL(hAPP(hAPP(_u20052, _u20044), _u20042)) | ( hAPP(_u20052, _u20044) = hAPP(_u20052, _u20042)) )).
% 20.36/20.63 cnf(matrix-8092, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20050, _u20052) | ~hBOOL(hAPP(hAPP(_u20052, _u20045), _u20045)) | ~hBOOL(hAPP(hAPP(_u20052, _u20043), _u20043)) | ( hAPP(_u20052, _u20045) != hAPP(_u20052, _u20043)) | hBOOL(hAPP(hAPP(_u20052, _u20045), _u20043)) )).
% 20.36/20.63 cnf(matrix-8093, plain, ( c_Equiv__Relations_Opart__equivp(_u20051, _u20053) | ~hBOOL(hAPP(hAPP(_u20053, _u20037), _u20037)) | hBOOL(hAPP(hAPP(_u20053, skolem541(_u20053)), skolem542(_u20053))) | hBOOL(hAPP(hAPP(_u20053, skolem543(_u20053)), skolem543(_u20053))) )).
% 20.36/20.63 cnf(matrix-8094, plain, ( c_Equiv__Relations_Opart__equivp(_u20051, _u20053) | ~hBOOL(hAPP(hAPP(_u20053, _u20037), _u20037)) | hBOOL(hAPP(hAPP(_u20053, skolem541(_u20053)), skolem542(_u20053))) | hBOOL(hAPP(hAPP(_u20053, skolem544(_u20053)), skolem544(_u20053))) )).
% 20.36/20.63 cnf(matrix-8095, plain, ( c_Equiv__Relations_Opart__equivp(_u20051, _u20053) | ~hBOOL(hAPP(hAPP(_u20053, _u20037), _u20037)) | hBOOL(hAPP(hAPP(_u20053, skolem541(_u20053)), skolem542(_u20053))) | ( hAPP(_u20053, skolem543(_u20053)) = hAPP(_u20053, skolem544(_u20053))) )).
% 20.36/20.63 cnf(matrix-8096, plain, ( c_Equiv__Relations_Opart__equivp(_u20051, _u20053) | ~hBOOL(hAPP(hAPP(_u20053, _u20037), _u20037)) | hBOOL(hAPP(hAPP(_u20053, skolem541(_u20053)), skolem542(_u20053))) | ~hBOOL(hAPP(hAPP(_u20053, skolem543(_u20053)), skolem544(_u20053))) )).
% 20.36/20.63 cnf(matrix-8097, plain, ( c_Equiv__Relations_Opart__equivp(_u20051, _u20053) | ~hBOOL(hAPP(hAPP(_u20053, _u20037), _u20037)) | ~hBOOL(hAPP(hAPP(_u20053, skolem541(_u20053)), skolem541(_u20053))) | ~hBOOL(hAPP(hAPP(_u20053, skolem542(_u20053)), skolem542(_u20053))) | ( hAPP(_u20053, skolem541(_u20053)) != hAPP(_u20053, skolem542(_u20053))) | hBOOL(hAPP(hAPP(_u20053, skolem543(_u20053)), skolem543(_u20053))) )).
% 20.36/20.63 cnf(matrix-8098, plain, ( c_Equiv__Relations_Opart__equivp(_u20051, _u20053) | ~hBOOL(hAPP(hAPP(_u20053, _u20037), _u20037)) | ~hBOOL(hAPP(hAPP(_u20053, skolem541(_u20053)), skolem541(_u20053))) | ~hBOOL(hAPP(hAPP(_u20053, skolem542(_u20053)), skolem542(_u20053))) | ( hAPP(_u20053, skolem541(_u20053)) != hAPP(_u20053, skolem542(_u20053))) | hBOOL(hAPP(hAPP(_u20053, skolem544(_u20053)), skolem544(_u20053))) )).
% 20.36/20.63 cnf(matrix-8099, plain, ( c_Equiv__Relations_Opart__equivp(_u20051, _u20053) | ~hBOOL(hAPP(hAPP(_u20053, _u20037), _u20037)) | ~hBOOL(hAPP(hAPP(_u20053, skolem541(_u20053)), skolem541(_u20053))) | ~hBOOL(hAPP(hAPP(_u20053, skolem542(_u20053)), skolem542(_u20053))) | ( hAPP(_u20053, skolem541(_u20053)) != hAPP(_u20053, skolem542(_u20053))) | ( hAPP(_u20053, skolem543(_u20053)) = hAPP(_u20053, skolem544(_u20053))) )).
% 20.36/20.63 cnf(matrix-8100, plain, ( c_Equiv__Relations_Opart__equivp(_u20051, _u20053) | ~hBOOL(hAPP(hAPP(_u20053, _u20037), _u20037)) | ~hBOOL(hAPP(hAPP(_u20053, skolem541(_u20053)), skolem541(_u20053))) | ~hBOOL(hAPP(hAPP(_u20053, skolem542(_u20053)), skolem542(_u20053))) | ( hAPP(_u20053, skolem541(_u20053)) != hAPP(_u20053, skolem542(_u20053))) | ~hBOOL(hAPP(hAPP(_u20053, skolem543(_u20053)), skolem544(_u20053))) )).
% 20.36/20.63 cnf(matrix-8101, plain, ( ~c_Equiv__Relations_Oequivp(_u20054, _u20055) | c_Equiv__Relations_Opart__equivp(_u20054, _u20055) )).
% 20.36/20.63 cnf(matrix-8102, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20057, _u20058) | hBOOL(hAPP(hAPP(_u20058, skolem545(_u20058, _u20057)), skolem545(_u20058, _u20057))) )).
% 20.36/20.63 cnf(matrix-8103, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20057, _u20058) | c_Predicate_Osymp(_u20057, _u20058) )).
% 20.36/20.63 cnf(matrix-8104, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20057, _u20058) | c_Predicate_Otransp(_u20057, _u20058) )).
% 20.36/20.63 cnf(matrix-8105, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20060, _u20061) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20060, tc_HOL_Obool)), skolem546(_u20061, _u20060)), hAPP(hAPP(c_COMBB(tc_fun(_u20060, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u20060, tc_HOL_Obool)), c_HOL_OEx(_u20060)), hAPP(hAPP(c_COMBB(tc_fun(_u20060, tc_HOL_Obool), tc_fun(_u20060, tc_HOL_Obool), tc_fun(_u20060, tc_HOL_Obool)), hAPP(c_COMBS(_u20060, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20060), c_fconj), hAPP(hAPP(c_COMBS(_u20060, _u20060, tc_HOL_Obool), _u20061), c_COMBI(_u20060))))), hAPP(hAPP(c_COMBC(tc_fun(_u20060, tc_HOL_Obool), tc_fun(_u20060, tc_fun(_u20060, tc_HOL_Obool)), tc_fun(_u20060, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20060, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u20060, tc_fun(_u20060, tc_HOL_Obool)), tc_fun(_u20060, tc_HOL_Obool)), tc_fun(_u20060, tc_HOL_Obool)), c_COMBB(tc_fun(_u20060, tc_HOL_Obool), tc_HOL_Obool, _u20060)), c_fequal)), _u20061))))) )).
% 20.36/20.63 cnf(matrix-8106, plain, ( ~c_Fun_Oinj__on(_u20062, _u20063, _u20064, c_Orderings_Otop__class_Otop(tc_fun(_u20062, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u20063, _u20062, _u20062, c_Hilbert__Choice_Oinv__into(_u20062, _u20063, c_Orderings_Otop__class_Otop(tc_fun(_u20062, tc_HOL_Obool)), _u20064)), _u20064) = c_Fun_Oid(_u20062)) )).
% 20.36/20.63 cnf(matrix-8107, plain, ( ~c_Fun_Oinj__on(_u20068, _u20070, _u20072, c_Orderings_Otop__class_Otop(tc_fun(_u20068, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u20070, _u20068, _u20068, c_Hilbert__Choice_Oinv__into(_u20068, _u20070, c_Orderings_Otop__class_Otop(tc_fun(_u20068, tc_HOL_Obool)), _u20072)), _u20072) = c_Fun_Oid(_u20068)) )).
% 20.36/20.63 cnf(matrix-8108, plain, ( ( hAPP(c_Fun_Ocomp(_u20071, _u20069, _u20069, c_Hilbert__Choice_Oinv__into(_u20069, _u20071, c_Orderings_Otop__class_Otop(tc_fun(_u20069, tc_HOL_Obool)), _u20073)), _u20073) != c_Fun_Oid(_u20069)) | c_Fun_Oinj__on(_u20069, _u20071, _u20073, c_Orderings_Otop__class_Otop(tc_fun(_u20069, tc_HOL_Obool))) )).
% 20.36/20.63 cnf(matrix-8109, plain, ( ( c_Hilbert__Choice_Oinv__into(_u20074, _u20074, c_Orderings_Otop__class_Otop(tc_fun(_u20074, tc_HOL_Obool)), c_Fun_Oid(_u20074)) = c_Fun_Oid(_u20074)) )).
% 20.36/20.63 cnf(matrix-8110, plain, ( ~c_Fun_Oinj__on(_u20075, _u20076, _u20077, c_Orderings_Otop__class_Otop(tc_fun(_u20075, tc_HOL_Obool))) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20075, _u20076, c_Orderings_Otop__class_Otop(tc_fun(_u20075, tc_HOL_Obool)), _u20077), hAPP(_u20077, _u20078)) = _u20078) )).
% 20.36/20.63 cnf(matrix-8111, plain, ( ~c_Fun_Oinj__on(_u20079, _u20080, _u20081, c_Orderings_Otop__class_Otop(tc_fun(_u20079, tc_HOL_Obool))) | ( hAPP(_u20081, _u20082) != _u20083) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20079, _u20080, c_Orderings_Otop__class_Otop(tc_fun(_u20079, tc_HOL_Obool)), _u20081), _u20083) = _u20082) )).
% 20.36/20.63 cnf(matrix-8112, plain, ( ~c_Fun_Oinj__on(_u20084, _u20085, _u20086, _u20087) | ~hBOOL(hAPP(hAPP(c_member(_u20084), _u20088), _u20087)) | ( hAPP(_u20086, _u20088) != _u20089) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20084, _u20085, _u20087, _u20086), _u20089) = _u20088) )).
% 20.36/20.63 cnf(matrix-8113, plain, ( ~c_Fun_Oinj__on(_u20090, _u20091, _u20092, _u20093) | ~hBOOL(hAPP(hAPP(c_member(_u20090), _u20094), _u20093)) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20090, _u20091, _u20093, _u20092), hAPP(_u20092, _u20094)) = _u20094) )).
% 20.36/20.63 cnf(matrix-8114, plain, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u20095, _u20096, _u20097, _u20098), _u20099) != hAPP(c_Hilbert__Choice_Oinv__into(_u20095, _u20096, _u20097, _u20098), _u20100)) | ~hBOOL(hAPP(hAPP(c_member(_u20096), _u20099), hAPP(c_Set_Oimage(_u20095, _u20096, _u20098), _u20097))) | ~hBOOL(hAPP(hAPP(c_member(_u20096), _u20100), hAPP(c_Set_Oimage(_u20095, _u20096, _u20098), _u20097))) | ( _u20099 = _u20100) )).
% 20.36/20.63 cnf(matrix-8115, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20101), _u20102), hAPP(c_Set_Oimage(_u20103, _u20101, _u20104), _u20105))) | hBOOL(hAPP(hAPP(c_member(_u20103), hAPP(c_Hilbert__Choice_Oinv__into(_u20103, _u20101, _u20105, _u20104), _u20102)), _u20105)) )).
% 20.36/20.63 cnf(matrix-8116, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20106), _u20107), hAPP(c_Set_Oimage(_u20108, _u20106, _u20109), _u20110))) | ( hAPP(_u20109, hAPP(c_Hilbert__Choice_Oinv__into(_u20108, _u20106, _u20110, _u20109), _u20107)) = _u20107) )).
% 20.36/20.63 cnf(matrix-8117, plain, ( ( hAPP(c_Set_Oimage(_u20116, _u20118, _u20120), c_Orderings_Otop__class_Otop(tc_fun(_u20116, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20118, tc_HOL_Obool))) | ( hAPP(_u20120, hAPP(c_Hilbert__Choice_Oinv__into(_u20116, _u20118, c_Orderings_Otop__class_Otop(tc_fun(_u20116, tc_HOL_Obool)), _u20120), _u20111)) = _u20111) )).
% 20.36/20.63 cnf(matrix-8118, plain, ( ( hAPP(_u20121, hAPP(c_Hilbert__Choice_Oinv__into(_u20117, _u20119, c_Orderings_Otop__class_Otop(tc_fun(_u20117, tc_HOL_Obool)), _u20121), skolem547(_u20121, _u20119, _u20117))) != skolem547(_u20121, _u20119, _u20117)) | ( hAPP(c_Set_Oimage(_u20117, _u20119, _u20121), c_Orderings_Otop__class_Otop(tc_fun(_u20117, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20119, tc_HOL_Obool))) )).
% 20.36/20.63 cnf(matrix-8119, plain, ( ( hAPP(c_Set_Oimage(_u20122, _u20123, _u20124), c_Orderings_Otop__class_Otop(tc_fun(_u20122, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20123, tc_HOL_Obool))) | ( hAPP(_u20124, hAPP(c_Hilbert__Choice_Oinv__into(_u20122, _u20123, c_Orderings_Otop__class_Otop(tc_fun(_u20122, tc_HOL_Obool)), _u20124), _u20125)) = _u20125) )).
% 20.36/20.63 cnf(matrix-8120, plain, ( ( hAPP(c_Set_Oimage(_u20126, _u20127, _u20128), c_Orderings_Otop__class_Otop(tc_fun(_u20126, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20127, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20126, _u20127, _u20128), hAPP(c_Set_Oimage(_u20127, _u20126, c_Hilbert__Choice_Oinv__into(_u20126, _u20127, c_Orderings_Otop__class_Otop(tc_fun(_u20126, tc_HOL_Obool)), _u20128)), _u20129)) = _u20129) )).
% 20.36/20.63 cnf(matrix-8121, plain, ( ( hAPP(c_Set_Oimage(_u20130, _u20131, _u20132), _u20133) != _u20134) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20131, tc_HOL_Obool)), _u20135), _u20134)) | ( hAPP(c_Set_Oimage(_u20130, _u20131, _u20132), hAPP(c_Set_Oimage(_u20131, _u20130, c_Hilbert__Choice_Oinv__into(_u20130, _u20131, _u20133, _u20132)), _u20135)) = _u20135) )).
% 20.36/20.63 cnf(matrix-8122, plain, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u20136, _u20137, _u20138, _u20139), _u20140) = c_Hilbert__Choice_OEps(_u20136, hAPP(hAPP(c_COMBS(_u20136, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20136), c_fconj), hAPP(hAPP(c_COMBC(_u20136, tc_fun(_u20136, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20136)), _u20138))), hAPP(hAPP(c_COMBC(_u20136, _u20137, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u20137, tc_fun(_u20137, tc_HOL_Obool), _u20136), c_fequal), _u20139)), _u20140)))) )).
% 20.36/20.63 cnf(matrix-8123, plain, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u20141, _u20142, c_Orderings_Otop__class_Otop(tc_fun(_u20141, tc_HOL_Obool)), _u20143), _u20144) = c_Hilbert__Choice_OEps(_u20141, hAPP(hAPP(c_COMBC(_u20141, _u20142, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u20142, tc_fun(_u20142, tc_HOL_Obool), _u20141), c_fequal), _u20143)), _u20144))) )).
% 20.36/20.63 cnf(matrix-8124, plain, ( ~c_Fun_Oinj__on(_u20145, _u20146, _u20147, c_Orderings_Otop__class_Otop(tc_fun(_u20145, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u20146, _u20148, _u20145, hAPP(c_Fun_Ocomp(_u20145, _u20148, _u20146, _u20149), c_Hilbert__Choice_Oinv__into(_u20145, _u20146, c_Orderings_Otop__class_Otop(tc_fun(_u20145, tc_HOL_Obool)), _u20147))), _u20147) = _u20149) )).
% 20.36/20.63 cnf(matrix-8125, plain, ( ( hAPP(c_Set_Oimage(_u20150, _u20151, _u20152), c_Orderings_Otop__class_Otop(tc_fun(_u20150, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20151, tc_HOL_Obool))) | c_Fun_Oinj__on(_u20151, _u20150, c_Hilbert__Choice_Oinv__into(_u20150, _u20151, c_Orderings_Otop__class_Otop(tc_fun(_u20150, tc_HOL_Obool)), _u20152), c_Orderings_Otop__class_Otop(tc_fun(_u20151, tc_HOL_Obool))) )).
% 20.36/20.63 cnf(matrix-8126, plain, ( ~c_Fun_Oinj__on(_u20153, _u20154, _u20155, c_Orderings_Otop__class_Otop(tc_fun(_u20153, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20154, _u20153, c_Hilbert__Choice_Oinv__into(_u20153, _u20154, c_Orderings_Otop__class_Otop(tc_fun(_u20153, tc_HOL_Obool)), _u20155)), hAPP(c_Set_Oimage(_u20153, _u20154, _u20155), _u20156)) = _u20156) )).
% 20.36/20.63 cnf(matrix-8127, plain, ( ~c_Fun_Oinj__on(_u20157, _u20158, _u20159, c_Orderings_Otop__class_Otop(tc_fun(_u20157, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20158, _u20157, c_Hilbert__Choice_Oinv__into(_u20157, _u20158, c_Orderings_Otop__class_Otop(tc_fun(_u20157, tc_HOL_Obool)), _u20159)), hAPP(c_Set_Oimage(_u20157, _u20158, _u20159), _u20160)) = _u20160) )).
% 20.36/20.63 cnf(matrix-8128, plain, ( ~c_Fun_Oinj__on(_u20161, _u20162, _u20163, c_Orderings_Otop__class_Otop(tc_fun(_u20161, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20162, _u20161, c_Hilbert__Choice_Oinv__into(_u20161, _u20162, c_Orderings_Otop__class_Otop(tc_fun(_u20161, tc_HOL_Obool)), _u20163)), c_Orderings_Otop__class_Otop(tc_fun(_u20162, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20161, tc_HOL_Obool))) )).
% 20.36/20.63 cnf(matrix-8129, plain, ( ~c_Fun_Oinj__on(_u20164, _u20165, _u20166, _u20167) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20164, tc_HOL_Obool)), _u20168), _u20167)) | ( hAPP(c_Set_Oimage(_u20165, _u20164, c_Hilbert__Choice_Oinv__into(_u20164, _u20165, _u20167, _u20166)), hAPP(c_Set_Oimage(_u20164, _u20165, _u20166), _u20168)) = _u20168) )).
% 20.36/20.63 cnf(matrix-8130, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20169, tc_HOL_Obool)), _u20170), hAPP(c_Set_Oimage(_u20171, _u20169, _u20172), _u20173))) | c_Fun_Oinj__on(_u20169, _u20171, c_Hilbert__Choice_Oinv__into(_u20171, _u20169, _u20173, _u20172), _u20170) )).
% 20.36/20.63 cnf(matrix-8131, plain, ( ~c_Fun_Oinj__on(_u20174, _u20175, _u20176, hAPP(c_Set_Oimage(_u20177, _u20174, _u20178), _u20179)) | ~c_Fun_Oinj__on(_u20177, _u20174, _u20178, _u20179) | ~hBOOL(hAPP(hAPP(c_member(_u20175), _u20180), hAPP(c_Set_Oimage(_u20174, _u20175, _u20176), hAPP(c_Set_Oimage(_u20177, _u20174, _u20178), _u20179)))) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20177, _u20175, _u20179, hAPP(c_Fun_Ocomp(_u20174, _u20175, _u20177, _u20176), _u20178)), _u20180) = hAPP(hAPP(c_Fun_Ocomp(_u20174, _u20177, _u20175, c_Hilbert__Choice_Oinv__into(_u20177, _u20174, _u20179, _u20178)), c_Hilbert__Choice_Oinv__into(_u20174, _u20175, hAPP(c_Set_Oimage(_u20177, _u20174, _u20178), _u20179), _u20176)), _u20180)) )).
% 20.36/20.63 cnf(matrix-8132, plain, ( ( hAPP(c_Set_Oimage(_u20184, _u20186, _u20188), c_Orderings_Otop__class_Otop(tc_fun(_u20184, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20186, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u20184, _u20186, _u20186, _u20188), c_Hilbert__Choice_Oinv__into(_u20184, _u20186, c_Orderings_Otop__class_Otop(tc_fun(_u20184, tc_HOL_Obool)), _u20188)) = c_Fun_Oid(_u20186)) )).
% 20.36/20.63 cnf(matrix-8133, plain, ( ( hAPP(c_Fun_Ocomp(_u20185, _u20187, _u20187, _u20189), c_Hilbert__Choice_Oinv__into(_u20185, _u20187, c_Orderings_Otop__class_Otop(tc_fun(_u20185, tc_HOL_Obool)), _u20189)) != c_Fun_Oid(_u20187)) | ( hAPP(c_Set_Oimage(_u20185, _u20187, _u20189), c_Orderings_Otop__class_Otop(tc_fun(_u20185, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20187, tc_HOL_Obool))) )).
% 20.36/20.63 cnf(matrix-8134, plain, ( ~c_Fun_Oinj__on(_u20191, _u20192, _u20193, c_Orderings_Otop__class_Otop(tc_fun(_u20191, tc_HOL_Obool))) | hBOOL(hAPP(_u20194, _u20195)) | hBOOL(hAPP(hAPP(c_member(_u20192), skolem548(_u20195, _u20194, _u20193, _u20192, _u20191)), hAPP(c_Set_Oimage(_u20191, _u20192, _u20193), c_Orderings_Otop__class_Otop(tc_fun(_u20191, tc_HOL_Obool))))) )).
% 20.36/20.63 cnf(matrix-8135, plain, ( ~c_Fun_Oinj__on(_u20191, _u20192, _u20193, c_Orderings_Otop__class_Otop(tc_fun(_u20191, tc_HOL_Obool))) | hBOOL(hAPP(_u20194, _u20195)) | ~hBOOL(hAPP(_u20194, hAPP(c_Hilbert__Choice_Oinv__into(_u20191, _u20192, c_Orderings_Otop__class_Otop(tc_fun(_u20191, tc_HOL_Obool)), _u20193), skolem548(_u20195, _u20194, _u20193, _u20192, _u20191)))) )).
% 20.36/20.63 cnf(matrix-8136, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20199) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20200), _u20201)) | hBOOL(hAPP(hAPP(c_member(_u20200), skolem549(_u20204, _u20203, _u20202, _u20201, _u20200, _u20199)), _u20201)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20202, c_Groups_Otimes__class_Otimes(_u20199)), _u20204), c_Groups_Oone__class_Oone(_u20199)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20200, tc_fun(_u20202, tc_HOL_Obool)), _u20201), _u20203)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20200, c_Groups_Otimes__class_Otimes(_u20199)), hAPP(hAPP(c_COMBB(tc_fun(_u20202, tc_HOL_Obool), _u20199, _u20200), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20202, c_Groups_Otimes__class_Otimes(_u20199)), _u20204), c_Groups_Oone__class_Oone(_u20199))), _u20203)), c_Groups_Oone__class_Oone(_u20199)), _u20201)) | hBOOL(hAPP(hAPP(c_member(_u20200), skolem550(_u20204, _u20203, _u20202, _u20201, _u20200, _u20199)), _u20201)) )).
% 20.36/20.63 cnf(matrix-8137, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20199) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20200), _u20201)) | hBOOL(hAPP(hAPP(c_member(_u20200), skolem549(_u20204, _u20203, _u20202, _u20201, _u20200, _u20199)), _u20201)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20202, c_Groups_Otimes__class_Otimes(_u20199)), _u20204), c_Groups_Oone__class_Oone(_u20199)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20200, tc_fun(_u20202, tc_HOL_Obool)), _u20201), _u20203)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20200, c_Groups_Otimes__class_Otimes(_u20199)), hAPP(hAPP(c_COMBB(tc_fun(_u20202, tc_HOL_Obool), _u20199, _u20200), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20202, c_Groups_Otimes__class_Otimes(_u20199)), _u20204), c_Groups_Oone__class_Oone(_u20199))), _u20203)), c_Groups_Oone__class_Oone(_u20199)), _u20201)) | hBOOL(hAPP(hAPP(c_member(_u20200), skolem551(_u20204, _u20203, _u20202, _u20201, _u20200, _u20199)), _u20201)) )).
% 20.36/20.63 cnf(matrix-8138, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20199) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20200), _u20201)) | hBOOL(hAPP(hAPP(c_member(_u20200), skolem549(_u20204, _u20203, _u20202, _u20201, _u20200, _u20199)), _u20201)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20202, c_Groups_Otimes__class_Otimes(_u20199)), _u20204), c_Groups_Oone__class_Oone(_u20199)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20200, tc_fun(_u20202, tc_HOL_Obool)), _u20201), _u20203)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20200, c_Groups_Otimes__class_Otimes(_u20199)), hAPP(hAPP(c_COMBB(tc_fun(_u20202, tc_HOL_Obool), _u20199, _u20200), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20202, c_Groups_Otimes__class_Otimes(_u20199)), _u20204), c_Groups_Oone__class_Oone(_u20199))), _u20203)), c_Groups_Oone__class_Oone(_u20199)), _u20201)) | ( skolem550(_u20204, _u20203, _u20202, _u20201, _u20200, _u20199) != skolem551(_u20204, _u20203, _u20202, _u20201, _u20200, _u20199)) )).
% 20.36/20.63 cnf(matrix-8139, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20199) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20200), _u20201)) | hBOOL(hAPP(hAPP(c_member(_u20200), skolem549(_u20204, _u20203, _u20202, _u20201, _u20200, _u20199)), _u20201)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20202, c_Groups_Otimes__class_Otimes(_u20199)), _u20204), c_Groups_Oone__class_Oone(_u20199)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20200, tc_fun(_u20202, tc_HOL_Obool)), _u20201), _u20203)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20200, c_Groups_Otimes__class_Otimes(_u20199)), hAPP(hAPP(c_COMBB(tc_fun(_u20202, tc_HOL_Obool), _u20199, _u20200), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20202, c_Groups_Otimes__class_Otimes(_u20199)), _u20204), c_Groups_Oone__class_Oone(_u20199))), _u20203)), c_Groups_Oone__class_Oone(_u20199)), _u20201)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20202, tc_HOL_Obool)), hAPP(_u20203, skolem550(_u20204, _u20203, _u20202, _u20201, _u20200, _u20199))), hAPP(_u20203, skolem551(_u20204, _u20203, _u20202, _u20201, _u20200, _u20199))) != c_Orderings_Obot__class_Obot(tc_fun(_u20202, tc_HOL_Obool))) )).
% 20.36/20.63 cnf(matrix-8140, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20199) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20200), _u20201)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20202), hAPP(_u20203, skolem549(_u20204, _u20203, _u20202, _u20201, _u20200, _u20199)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20202, c_Groups_Otimes__class_Otimes(_u20199)), _u20204), c_Groups_Oone__class_Oone(_u20199)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20200, tc_fun(_u20202, tc_HOL_Obool)), _u20201), _u20203)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20200, c_Groups_Otimes__class_Otimes(_u20199)), hAPP(hAPP(c_COMBB(tc_fun(_u20202, tc_HOL_Obool), _u20199, _u20200), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20202, c_Groups_Otimes__class_Otimes(_u20199)), _u20204), c_Groups_Oone__class_Oone(_u20199))), _u20203)), c_Groups_Oone__class_Oone(_u20199)), _u20201)) | hBOOL(hAPP(hAPP(c_member(_u20200), skolem550(_u20204, _u20203, _u20202, _u20201, _u20200, _u20199)), _u20201)) )).
% 20.36/20.63 cnf(matrix-8141, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20199) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20200), _u20201)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20202), hAPP(_u20203, skolem549(_u20204, _u20203, _u20202, _u20201, _u20200, _u20199)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20202, c_Groups_Otimes__class_Otimes(_u20199)), _u20204), c_Groups_Oone__class_Oone(_u20199)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20200, tc_fun(_u20202, tc_HOL_Obool)), _u20201), _u20203)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20200, c_Groups_Otimes__class_Otimes(_u20199)), hAPP(hAPP(c_COMBB(tc_fun(_u20202, tc_HOL_Obool), _u20199, _u20200), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20202, c_Groups_Otimes__class_Otimes(_u20199)), _u20204), c_Groups_Oone__class_Oone(_u20199))), _u20203)), c_Groups_Oone__class_Oone(_u20199)), _u20201)) | hBOOL(hAPP(hAPP(c_member(_u20200), skolem551(_u20204, _u20203, _u20202, _u20201, _u20200, _u20199)), _u20201)) )).
% 20.36/20.63 cnf(matrix-8142, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20199) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20200), _u20201)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20202), hAPP(_u20203, skolem549(_u20204, _u20203, _u20202, _u20201, _u20200, _u20199)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20202, c_Groups_Otimes__class_Otimes(_u20199)), _u20204), c_Groups_Oone__class_Oone(_u20199)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20200, tc_fun(_u20202, tc_HOL_Obool)), _u20201), _u20203)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20200, c_Groups_Otimes__class_Otimes(_u20199)), hAPP(hAPP(c_COMBB(tc_fun(_u20202, tc_HOL_Obool), _u20199, _u20200), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20202, c_Groups_Otimes__class_Otimes(_u20199)), _u20204), c_Groups_Oone__class_Oone(_u20199))), _u20203)), c_Groups_Oone__class_Oone(_u20199)), _u20201)) | ( skolem550(_u20204, _u20203, _u20202, _u20201, _u20200, _u20199) != skolem551(_u20204, _u20203, _u20202, _u20201, _u20200, _u20199)) )).
% 20.36/20.63 cnf(matrix-8143, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20199) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20200), _u20201)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20202), hAPP(_u20203, skolem549(_u20204, _u20203, _u20202, _u20201, _u20200, _u20199)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20202, c_Groups_Otimes__class_Otimes(_u20199)), _u20204), c_Groups_Oone__class_Oone(_u20199)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20200, tc_fun(_u20202, tc_HOL_Obool)), _u20201), _u20203)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20200, c_Groups_Otimes__class_Otimes(_u20199)), hAPP(hAPP(c_COMBB(tc_fun(_u20202, tc_HOL_Obool), _u20199, _u20200), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20199, _u20202, c_Groups_Otimes__class_Otimes(_u20199)), _u20204), c_Groups_Oone__class_Oone(_u20199))), _u20203)), c_Groups_Oone__class_Oone(_u20199)), _u20201)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20202, tc_HOL_Obool)), hAPP(_u20203, skolem550(_u20204, _u20203, _u20202, _u20201, _u20200, _u20199))), hAPP(_u20203, skolem551(_u20204, _u20203, _u20202, _u20201, _u20200, _u20199))) != c_Orderings_Obot__class_Obot(tc_fun(_u20202, tc_HOL_Obool))) )).
% 20.36/20.63 cnf(matrix-8144, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20206), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u20207, hAPP(c_Code__Numeral_Onat__of, skolem552(_u20207, _u20206)))) | hBOOL(hAPP(_u20207, _u20206)) )).
% 20.36/20.63 cnf(matrix-8145, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20209), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u20209 = hAPP(c_Code__Numeral_Onat__of, skolem553(_u20209))) )).
% 20.36/20.63 cnf(matrix-8146, plain, ( hBOOL(hAPP(_u20211, _u20212)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem554(_u20212, _u20211)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 20.36/20.63 cnf(matrix-8147, plain, ( hBOOL(hAPP(_u20211, _u20212)) | ~hBOOL(hAPP(_u20211, hAPP(c_Code__Numeral_Oof__nat, skolem554(_u20212, _u20211)))) )).
% 20.36/20.63 cnf(matrix-8148, plain, ( ( _u20214 = hAPP(c_Code__Numeral_Oof__nat, skolem555(_u20214))) )).
% 20.36/20.63 cnf(matrix-8149, plain, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem555(_u20214)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 20.36/20.63 cnf(matrix-8150, plain, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(_u20215, _u20216, _u20217, _u20218, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20216)) = _u20217) )).
% 20.36/20.63 cnf(matrix-8151, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u20221), _u20223)) | ( c_Quickcheck_Obeyond(_u20221, _u20223) = _u20223) )).
% 20.36/20.63 cnf(matrix-8152, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u20222), _u20224)) | ( c_Quickcheck_Obeyond(_u20222, _u20224) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 20.36/20.63 cnf(matrix-8153, plain, ( ( c_Quickcheck_Obeyond(_u20225, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 20.36/20.63 cnf(matrix-8154, plain, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(_u20226, _u20227, _u20228, _u20229, c_Lazy__Sequence_Olazy__sequence_OInsert(_u20227, _u20230, _u20231)) = hAPP(hAPP(hAPP(_u20229, _u20230), _u20231), c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(_u20226, _u20227, _u20228, _u20229, _u20231))) )).
% 20.36/20.63 cnf(matrix-8155, plain, ( ~c_Fun_Obij__betw(_u20232, _u20233, _u20234, c_Orderings_Otop__class_Otop(tc_fun(_u20232, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20233, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20232, _u20233, _u20234), hAPP(c_Set_OCollect(_u20232), _u20235)) = hAPP(c_Set_OCollect(_u20233), hAPP(hAPP(c_COMBB(_u20232, tc_HOL_Obool, _u20233), _u20235), c_Hilbert__Choice_Oinv__into(_u20232, _u20233, c_Orderings_Otop__class_Otop(tc_fun(_u20232, tc_HOL_Obool)), _u20234)))) )).
% 20.36/20.63 cnf(matrix-8156, plain, ( ( hAPP(hAPP(c_Product__Type_Ocurry(_u20236, _u20237, _u20238, _u20239), _u20240), _u20241) = hAPP(_u20239, hAPP(hAPP(c_Product__Type_OPair(_u20236, _u20237), _u20240), _u20241))) )).
% 20.36/20.63 cnf(matrix-8157, plain, ( ~hBOOL(hAPP(_u20242, hAPP(hAPP(c_Product__Type_OPair(_u20243, _u20244), _u20245), _u20246))) | hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u20243, _u20244, tc_HOL_Obool, _u20242), _u20245), _u20246)) )).
% 20.36/20.63 cnf(matrix-8158, plain, ( c_Fun_Obij__betw(_u20247, _u20247, c_Fun_Oid(_u20247), _u20248, _u20248) )).
% 20.36/20.63 cnf(matrix-8159, plain, ( ~c_Fun_Obij__betw(_u20249, _u20250, _u20251, _u20252, _u20253) | c_Fun_Obij__betw(_u20250, _u20249, c_Hilbert__Choice_Oinv__into(_u20249, _u20250, _u20252, _u20251), _u20253, _u20252) )).
% 20.36/20.63 cnf(matrix-8160, plain, ( ~c_Fun_Obij__betw(_u20254, _u20255, _u20256, _u20257, _u20258) | ~hBOOL(hAPP(hAPP(c_member(_u20254), _u20259), _u20257)) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20255, _u20254, _u20258, c_Hilbert__Choice_Oinv__into(_u20254, _u20255, _u20257, _u20256)), _u20259) = hAPP(_u20256, _u20259)) )).
% 20.36/20.63 cnf(matrix-8161, plain, ( ~c_Fun_Obij__betw(_u20260, _u20261, _u20262, c_Orderings_Otop__class_Otop(tc_fun(_u20260, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20261, tc_HOL_Obool))) | ( c_Hilbert__Choice_Oinv__into(_u20261, _u20260, c_Orderings_Otop__class_Otop(tc_fun(_u20261, tc_HOL_Obool)), c_Hilbert__Choice_Oinv__into(_u20260, _u20261, c_Orderings_Otop__class_Otop(tc_fun(_u20260, tc_HOL_Obool)), _u20262)) = _u20262) )).
% 20.36/20.63 cnf(matrix-8162, plain, ( ~c_Fun_Obij__betw(_u20263, _u20264, _u20265, c_Orderings_Otop__class_Otop(tc_fun(_u20263, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20264, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20264, _u20263, c_Hilbert__Choice_Oinv__into(_u20263, _u20264, c_Orderings_Otop__class_Otop(tc_fun(_u20263, tc_HOL_Obool)), _u20265), c_Orderings_Otop__class_Otop(tc_fun(_u20264, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20263, tc_HOL_Obool))) )).
% 20.36/20.63 cnf(matrix-8163, plain, ( ~c_Fun_Obij__betw(_u20266, _u20267, _u20268, c_Orderings_Otop__class_Otop(tc_fun(_u20266, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20267, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u20269, _u20266, _u20270, c_Orderings_Otop__class_Otop(tc_fun(_u20269, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20266, tc_HOL_Obool))) | ( c_Hilbert__Choice_Oinv__into(_u20269, _u20267, c_Orderings_Otop__class_Otop(tc_fun(_u20269, tc_HOL_Obool)), hAPP(c_Fun_Ocomp(_u20266, _u20267, _u20269, _u20268), _u20270)) = hAPP(c_Fun_Ocomp(_u20266, _u20269, _u20267, c_Hilbert__Choice_Oinv__into(_u20269, _u20266, c_Orderings_Otop__class_Otop(tc_fun(_u20269, tc_HOL_Obool)), _u20270)), c_Hilbert__Choice_Oinv__into(_u20266, _u20267, c_Orderings_Otop__class_Otop(tc_fun(_u20266, tc_HOL_Obool)), _u20268))) )).
% 20.36/20.63 cnf(matrix-8164, plain, ( ~c_Fun_Obij__betw(_u20271, _u20272, _u20273, c_Orderings_Otop__class_Otop(tc_fun(_u20271, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20272, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20271, _u20272, _u20273), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20274, tc_fun(_u20271, tc_HOL_Obool)), _u20275), _u20276)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20274, tc_fun(_u20272, tc_HOL_Obool)), _u20275), hAPP(hAPP(c_COMBB(tc_fun(_u20271, tc_HOL_Obool), tc_fun(_u20272, tc_HOL_Obool), _u20274), c_Set_Oimage(_u20271, _u20272, _u20273)), _u20276))) )).
% 20.36/20.63 cnf(matrix-8165, plain, ( ~c_Fun_Obij__betw(_u20277, _u20278, _u20279, _u20280, _u20281) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20277, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u20282, _u20277, _u20283), _u20284)), _u20280)) | ~c_Fun_Obij__betw(_u20282, _u20277, _u20283, _u20284, _u20280) | c_Fun_Obij__betw(_u20282, _u20278, hAPP(c_Fun_Ocomp(_u20277, _u20278, _u20282, _u20279), _u20283), _u20284, _u20281) )).
% 20.36/20.63 cnf(matrix-8166, plain, ( ~c_Fun_Obij__betw(_u20277, _u20278, _u20279, _u20280, _u20281) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20277, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u20282, _u20277, _u20283), _u20284)), _u20280)) | ~c_Fun_Obij__betw(_u20282, _u20278, hAPP(c_Fun_Ocomp(_u20277, _u20278, _u20282, _u20279), _u20283), _u20284, _u20281) | c_Fun_Obij__betw(_u20282, _u20277, _u20283, _u20284, _u20280) )).
% 20.36/20.63 cnf(matrix-8167, plain, ( ~c_Fun_Obij__betw(_u20285, _u20286, _u20287, _u20288, _u20289) | ~c_Fun_Obij__betw(_u20286, _u20290, _u20291, _u20289, _u20292) | c_Fun_Obij__betw(_u20285, _u20290, hAPP(c_Fun_Ocomp(_u20286, _u20290, _u20285, _u20291), _u20287), _u20288, _u20292) )).
% 20.36/20.63 cnf(matrix-8168, plain, ( ~c_Fun_Obij__betw(_u20293, _u20294, _u20295, _u20296, _u20297) | ~c_Fun_Obij__betw(_u20294, _u20298, _u20299, _u20297, _u20300) | c_Fun_Obij__betw(_u20293, _u20298, hAPP(c_Fun_Ocomp(_u20294, _u20298, _u20293, _u20299), _u20295), _u20296, _u20300) )).
% 20.36/20.63 cnf(matrix-8169, plain, ( ~c_Fun_Obij__betw(_u20293, _u20294, _u20295, _u20296, _u20297) | ~c_Fun_Obij__betw(_u20293, _u20298, hAPP(c_Fun_Ocomp(_u20294, _u20298, _u20293, _u20299), _u20295), _u20296, _u20300) | c_Fun_Obij__betw(_u20294, _u20298, _u20299, _u20297, _u20300) )).
% 20.36/20.63 cnf(matrix-8170, plain, ( ~c_Fun_Obij__betw(_u20301, _u20302, _u20303, c_Orderings_Otop__class_Otop(tc_fun(_u20301, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20302, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u20302, _u20304, _u20305, c_Orderings_Otop__class_Otop(tc_fun(_u20302, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20304, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20301, _u20304, hAPP(c_Fun_Ocomp(_u20302, _u20304, _u20301, _u20305), _u20303), c_Orderings_Otop__class_Otop(tc_fun(_u20301, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20304, tc_HOL_Obool))) )).
% 20.36/20.63 cnf(matrix-8171, plain, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u20306, _u20307, tc_HOL_Obool, _u20308), _u20309), _u20310)) | hBOOL(hAPP(_u20308, hAPP(hAPP(c_Product__Type_OPair(_u20306, _u20307), _u20309), _u20310))) )).
% 20.36/20.63 cnf(matrix-8172, plain, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u20311, _u20312, tc_HOL_Obool, _u20313), _u20314), _u20315)) | hBOOL(hAPP(_u20313, hAPP(hAPP(c_Product__Type_OPair(_u20311, _u20312), _u20314), _u20315))) )).
% 20.36/20.63 cnf(matrix-8173, plain, ( ( hAPP(hAPP(c_Product__Type_Ocurry(_u20316, _u20317, _u20318, _u20319), _u20320), _u20321) = hAPP(_u20319, hAPP(hAPP(c_Product__Type_OPair(_u20316, _u20317), _u20320), _u20321))) )).
% 20.36/20.63 cnf(matrix-8174, plain, ( ~c_Fun_Obij__betw(_u20322, _u20323, _u20324, c_Orderings_Otop__class_Otop(tc_fun(_u20322, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20323, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20322), hAPP(c_Set_Ovimage(_u20322, _u20323, _u20324), _u20325))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20323), _u20325)) )).
% 20.36/20.63 cnf(matrix-8175, plain, ( ~c_Fun_Obij__betw(_u20322, _u20323, _u20324, c_Orderings_Otop__class_Otop(tc_fun(_u20322, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20323, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20323), _u20325)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20322), hAPP(c_Set_Ovimage(_u20322, _u20323, _u20324), _u20325))) )).
% 20.36/20.63 cnf(matrix-8176, plain, ( ~c_Fun_Obij__betw(_u20326, _u20327, _u20328, c_Orderings_Otop__class_Otop(tc_fun(_u20326, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20327, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20326, _u20327, _u20328), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u20326, tc_HOL_Obool)), _u20329)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u20327, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u20326, _u20327, _u20328), _u20329))) )).
% 20.36/20.63 cnf(matrix-8177, plain, ( ~c_Fun_Obij__betw(_u20333, _u20335, _u20337, c_Orderings_Otop__class_Otop(tc_fun(_u20333, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20335, tc_HOL_Obool))) | c_Fun_Oinj__on(_u20333, _u20335, _u20337, c_Orderings_Otop__class_Otop(tc_fun(_u20333, tc_HOL_Obool))) )).
% 20.36/20.63 cnf(matrix-8178, plain, ( ~c_Fun_Obij__betw(_u20333, _u20335, _u20337, c_Orderings_Otop__class_Otop(tc_fun(_u20333, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20335, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20333, _u20335, _u20337), c_Orderings_Otop__class_Otop(tc_fun(_u20333, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20335, tc_HOL_Obool))) )).
% 20.36/20.63 cnf(matrix-8179, plain, ( ~c_Fun_Oinj__on(_u20334, _u20336, _u20338, c_Orderings_Otop__class_Otop(tc_fun(_u20334, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20334, _u20336, _u20338), c_Orderings_Otop__class_Otop(tc_fun(_u20334, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20336, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20334, _u20336, _u20338, c_Orderings_Otop__class_Otop(tc_fun(_u20334, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20336, tc_HOL_Obool))) )).
% 20.36/20.63 cnf(matrix-8180, plain, ( ~c_Fun_Oinj__on(_u20339, _u20340, _u20341, c_Orderings_Otop__class_Otop(tc_fun(_u20339, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20339, _u20340, _u20341), c_Orderings_Otop__class_Otop(tc_fun(_u20339, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20340, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20339, _u20340, _u20341, c_Orderings_Otop__class_Otop(tc_fun(_u20339, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20340, tc_HOL_Obool))) )).
% 20.36/20.63 cnf(matrix-8181, plain, ( ~c_Fun_Obij__betw(_u20342, _u20343, _u20344, _u20345, _u20346) | ~c_Fun_Obij__betw(_u20342, _u20343, _u20344, _u20347, _u20348) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20343, tc_HOL_Obool)), _u20346), _u20348) != c_Orderings_Obot__class_Obot(tc_fun(_u20343, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20342, _u20343, _u20344, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20342, tc_HOL_Obool)), _u20345), _u20347), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20343, tc_HOL_Obool)), _u20346), _u20348)) )).
% 20.36/20.63 cnf(matrix-8182, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20349, tc_HOL_Obool)), _u20350), _u20351) != c_Orderings_Obot__class_Obot(tc_fun(_u20349, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20352, tc_HOL_Obool)), _u20353), _u20354) != c_Orderings_Obot__class_Obot(tc_fun(_u20352, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u20349, _u20352, _u20355, _u20350, _u20353) | ~c_Fun_Obij__betw(_u20349, _u20352, _u20355, _u20351, _u20354) | c_Fun_Obij__betw(_u20349, _u20352, _u20355, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20349, tc_HOL_Obool)), _u20350), _u20351), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20352, tc_HOL_Obool)), _u20353), _u20354)) )).
% 20.36/20.63 cnf(matrix-8183, plain, ( ~c_Fun_Obij__betw(_u20356, _u20357, _u20358, _u20359, _u20360) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20356, tc_HOL_Obool)), _u20361), _u20359)) | ( hAPP(c_Set_Oimage(_u20356, _u20357, _u20358), _u20361) != _u20362) | c_Fun_Obij__betw(_u20356, _u20357, _u20358, _u20361, _u20362) )).
% 20.36/20.63 cnf(matrix-8184, plain, ( ~c_Fun_Obij__betw(_u20363, _u20364, _u20365, c_Orderings_Otop__class_Otop(tc_fun(_u20363, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20364, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20363, _u20364, _u20365), c_Orderings_Otop__class_Otop(tc_fun(_u20363, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20364, tc_HOL_Obool))) )).
% 20.36/20.63 cnf(matrix-8185, plain, ( ~c_Fun_Obij__betw(_u20366, _u20367, _u20368, _u20369, c_Orderings_Otop__class_Otop(tc_fun(_u20367, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20366, _u20367, _u20368), c_Orderings_Otop__class_Otop(tc_fun(_u20366, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20367, tc_HOL_Obool))) )).
% 20.36/20.63 cnf(matrix-8186, plain, ( ~c_Fun_Obij__betw(_u20375, _u20377, _u20379, _u20381, _u20383) | c_Fun_Oinj__on(_u20375, _u20377, _u20379, _u20381) )).
% 20.36/20.63 cnf(matrix-8187, plain, ( ~c_Fun_Obij__betw(_u20375, _u20377, _u20379, _u20381, _u20383) | ( hAPP(c_Set_Oimage(_u20375, _u20377, _u20379), _u20381) = _u20383) )).
% 20.36/20.63 cnf(matrix-8188, plain, ( ~c_Fun_Oinj__on(_u20376, _u20378, _u20380, _u20382) | ( hAPP(c_Set_Oimage(_u20376, _u20378, _u20380), _u20382) != _u20384) | c_Fun_Obij__betw(_u20376, _u20378, _u20380, _u20382, _u20384) )).
% 20.36/20.63 cnf(matrix-8189, plain, ( ~c_Fun_Oinj__on(_u20385, _u20386, _u20387, _u20388) | c_Fun_Obij__betw(_u20385, _u20386, _u20387, _u20388, hAPP(c_Set_Oimage(_u20385, _u20386, _u20387), _u20388)) )).
% 20.36/20.63 cnf(matrix-8190, plain, ( ~c_Fun_Obij__betw(_u20389, _u20390, _u20391, _u20392, _u20393) | c_Fun_Oinj__on(_u20389, _u20390, _u20391, _u20392) )).
% 20.36/20.63 cnf(matrix-8191, plain, ( ~c_Fun_Obij__betw(_u20394, _u20395, _u20396, c_Orderings_Otop__class_Otop(tc_fun(_u20394, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20395, tc_HOL_Obool))) | c_Fun_Oinj__on(_u20394, _u20395, _u20396, c_Orderings_Otop__class_Otop(tc_fun(_u20394, tc_HOL_Obool))) )).
% 20.36/20.63 cnf(matrix-8192, plain, ( ~c_Fun_Obij__betw(_u20397, _u20398, _u20399, _u20400, _u20401) | c_Fun_Obij__betw(_u20398, _u20397, c_Fun_Othe__inv__into(_u20397, _u20398, _u20400, _u20399), _u20401, _u20400) )).
% 20.36/20.63 cnf(matrix-8193, plain, ( ~c_Fun_Obij__betw(_u20402, _u20403, _u20404, _u20405, _u20406) | ( hAPP(c_Finite__Set_Ocard(_u20402), _u20405) = hAPP(c_Finite__Set_Ocard(_u20403), _u20406)) )).
% 20.36/20.63 cnf(matrix-8194, plain, ( ~c_Fun_Obij__betw(_u20407, _u20408, _u20409, _u20410, c_Orderings_Obot__class_Obot(tc_fun(_u20408, tc_HOL_Obool))) | ( _u20410 = c_Orderings_Obot__class_Obot(tc_fun(_u20407, tc_HOL_Obool))) )).
% 20.36/20.63 cnf(matrix-8195, plain, ( ( _u20414 = c_Orderings_Obot__class_Obot(tc_fun(_u20412, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u20411, _u20412, _u20413, c_Orderings_Obot__class_Obot(tc_fun(_u20411, tc_HOL_Obool)), _u20414) )).
% 20.36/20.63 cnf(matrix-8196, plain, ( ~c_Fun_Obij__betw(_u20415, _u20416, _u20417, _u20418, _u20419) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20415), _u20418)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20416), _u20419)) )).
% 20.36/20.63 cnf(matrix-8197, plain, ( ~c_Fun_Obij__betw(_u20415, _u20416, _u20417, _u20418, _u20419) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20416), _u20419)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20415), _u20418)) )).
% 20.36/20.63 cnf(matrix-8198, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20422), _u20423)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20424), _u20425)) | ~c_Fun_Obij__betw(_u20422, _u20424, _u20420, _u20423, _u20425) | ( hAPP(c_Finite__Set_Ocard(_u20422), _u20423) = hAPP(c_Finite__Set_Ocard(_u20424), _u20425)) )).
% 20.36/20.63 cnf(matrix-8199, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20422), _u20423)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20424), _u20425)) | ( hAPP(c_Finite__Set_Ocard(_u20422), _u20423) != hAPP(c_Finite__Set_Ocard(_u20424), _u20425)) | c_Fun_Obij__betw(_u20422, _u20424, skolem556(_u20425, _u20424, _u20423, _u20422), _u20423, _u20425) )).
% 20.36/20.63 cnf(matrix-8200, plain, ( ( _u20431 = _u20433) | ~c_Fun_Obij__betw(_u20429, _u20429, c_Fun_Oid(_u20429), _u20431, _u20433) )).
% 20.36/20.63 cnf(matrix-8201, plain, ( ( _u20432 != _u20434) | c_Fun_Obij__betw(_u20430, _u20430, c_Fun_Oid(_u20430), _u20432, _u20434) )).
% 20.36/20.63 cnf(matrix-8202, plain, ( c_Fun_Obij__betw(_u20435, _u20435, c_Fun_Oid(_u20435), c_Orderings_Otop__class_Otop(tc_fun(_u20435, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20435, tc_HOL_Obool))) )).
% 20.36/20.63 cnf(matrix-8203, plain, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u20436, _u20437, _u20438), c_Product__Type_Ocurry(_u20436, _u20437, _u20438, _u20439)) = _u20439) )).
% 20.36/20.63 cnf(matrix-8204, plain, ( ( c_Product__Type_Ocurry(_u20440, _u20441, _u20442, hAPP(c_Product__Type_Oprod_Oprod__case(_u20440, _u20441, _u20442), _u20443)) = _u20443) )).
% 20.36/20.63 cnf(matrix-8205, plain, ( ~c_Fun_Obij__betw(_u20444, _u20445, _u20446, c_Orderings_Otop__class_Otop(tc_fun(_u20444, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20445, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20444, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u20444, _u20445, _u20446), _u20447)), _u20448)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20445, tc_HOL_Obool)), _u20447), hAPP(c_Set_Oimage(_u20444, _u20445, _u20446), _u20448))) )).
% 20.36/20.63 cnf(matrix-8206, plain, ( ~c_Fun_Obij__betw(_u20444, _u20445, _u20446, c_Orderings_Otop__class_Otop(tc_fun(_u20444, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20445, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20445, tc_HOL_Obool)), _u20447), hAPP(c_Set_Oimage(_u20444, _u20445, _u20446), _u20448))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20444, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u20444, _u20445, _u20446), _u20447)), _u20448)) )).
% 20.36/20.63 cnf(matrix-8207, plain, ( ~c_Fun_Obij__betw(_u20449, _u20450, _u20451, c_Orderings_Otop__class_Otop(tc_fun(_u20449, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20450, tc_HOL_Obool))) | ( hAPP(c_Set_Ovimage(_u20449, _u20450, _u20451), _u20452) = hAPP(c_Set_Oimage(_u20450, _u20449, c_Hilbert__Choice_Oinv__into(_u20449, _u20450, c_Orderings_Otop__class_Otop(tc_fun(_u20449, tc_HOL_Obool)), _u20451)), _u20452)) )).
% 20.36/20.63 cnf(matrix-8208, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20454), _u20455)) | c_Fun_Obij__betw(tc_Nat_Onat, _u20454, skolem557(_u20455, _u20454), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u20454), _u20455)), _u20455) )).
% 20.36/20.63 cnf(matrix-8209, plain, ( ~c_Fun_Oinj__on(_u20457, _u20458, _u20459, _u20460) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20458, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u20457, _u20458, _u20459), _u20460)), _u20461)) | ~c_Fun_Oinj__on(_u20458, _u20457, _u20462, _u20461) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20457, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u20458, _u20457, _u20462), _u20461)), _u20460)) | c_Fun_Obij__betw(_u20457, _u20458, skolem558(_u20462, _u20461, _u20460, _u20459, _u20458, _u20457), _u20460, _u20461) )).
% 20.36/20.63 cnf(matrix-8210, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20464), _u20465)) | c_Fun_Obij__betw(tc_Nat_Onat, _u20464, skolem559(_u20465, _u20464), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u20464), _u20465)), _u20465) )).
% 20.36/20.63 cnf(matrix-8211, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20467), _u20468)) | c_Fun_Obij__betw(_u20467, tc_Nat_Onat, skolem560(_u20468, _u20467), _u20468, hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u20467), _u20468))) )).
% 20.36/20.63 cnf(matrix-8212, plain, ( c_Relation_Orefl__on(_u20472, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20470, tc_fun(_u20472, tc_HOL_Obool)), _u20471), _u20473), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20470, tc_fun(tc_prod(_u20472, _u20472), tc_HOL_Obool)), _u20471), _u20474)) | hBOOL(hAPP(hAPP(c_member(_u20470), skolem561(_u20474, _u20473, _u20472, _u20471, _u20470)), _u20471)) )).
% 20.36/20.63 cnf(matrix-8213, plain, ( c_Relation_Orefl__on(_u20472, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20470, tc_fun(_u20472, tc_HOL_Obool)), _u20471), _u20473), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20470, tc_fun(tc_prod(_u20472, _u20472), tc_HOL_Obool)), _u20471), _u20474)) | ~c_Relation_Orefl__on(_u20472, hAPP(_u20473, skolem561(_u20474, _u20473, _u20472, _u20471, _u20470)), hAPP(_u20474, skolem561(_u20474, _u20473, _u20472, _u20471, _u20470))) )).
% 20.36/20.63 cnf(matrix-8214, plain, ( ~c_Equiv__Relations_Oequivp(_u20479, _u20480) | ~hBOOL(hAPP(hAPP(c_member(_u20479), _u20475), c_Quotient_ORespects(_u20479, _u20480))) | ~hBOOL(hAPP(_u20481, _u20475)) | hBOOL(hAPP(_u20481, skolem562(_u20481, _u20480, _u20479))) )).
% 20.36/20.63 cnf(matrix-8215, plain, ( ~c_Equiv__Relations_Oequivp(_u20479, _u20480) | ~hBOOL(hAPP(_u20481, _u20477)) | hBOOL(hAPP(hAPP(c_member(_u20479), skolem563(_u20481, _u20480, _u20479)), c_Quotient_ORespects(_u20479, _u20480))) )).
% 20.36/20.63 cnf(matrix-8216, plain, ( ~c_Equiv__Relations_Oequivp(_u20479, _u20480) | ~hBOOL(hAPP(_u20481, _u20477)) | hBOOL(hAPP(_u20481, skolem563(_u20481, _u20480, _u20479))) )).
% 20.36/20.63 cnf(matrix-8217, plain, ( hBOOL(hAPP(hAPP(_u20489, _u20487), _u20487)) | ~hBOOL(hAPP(hAPP(c_member(_u20485), _u20487), c_Quotient_ORespects(_u20485, _u20489))) )).
% 20.36/20.63 cnf(matrix-8218, plain, ( ~hBOOL(hAPP(hAPP(_u20490, _u20488), _u20488)) | hBOOL(hAPP(hAPP(c_member(_u20486), _u20488), c_Quotient_ORespects(_u20486, _u20490))) )).
% 20.36/20.63 cnf(matrix-8219, plain, ( hBOOL(hAPP(hAPP(_u20496, _u20498), _u20498)) | ~hBOOL(hAPP(c_Quotient_ORespects(_u20494, _u20496), _u20498)) )).
% 20.36/20.63 cnf(matrix-8220, plain, ( ~hBOOL(hAPP(hAPP(_u20497, _u20499), _u20499)) | hBOOL(hAPP(c_Quotient_ORespects(_u20495, _u20497), _u20499)) )).
% 20.36/20.63 cnf(matrix-8221, plain, ( ~c_Equiv__Relations_Oequivp(_u20503, _u20504) | hBOOL(hAPP(_u20505, skolem564(_u20506, _u20505, _u20504, _u20503))) | ~hBOOL(hAPP(_u20505, _u20501)) | hBOOL(hAPP(hAPP(c_member(_u20503), skolem565(_u20506, _u20505, _u20504, _u20503)), c_Quotient_ORespects(_u20503, _u20504))) )).
% 20.36/20.63 cnf(matrix-8222, plain, ( ~c_Equiv__Relations_Oequivp(_u20503, _u20504) | hBOOL(hAPP(_u20505, skolem564(_u20506, _u20505, _u20504, _u20503))) | ~hBOOL(hAPP(_u20505, _u20501)) | hBOOL(hAPP(_u20506, skolem565(_u20506, _u20505, _u20504, _u20503))) )).
% 20.36/20.63 cnf(matrix-8223, plain, ( ~c_Equiv__Relations_Oequivp(_u20503, _u20504) | ~hBOOL(hAPP(_u20506, skolem564(_u20506, _u20505, _u20504, _u20503))) | ~hBOOL(hAPP(_u20505, _u20501)) | hBOOL(hAPP(hAPP(c_member(_u20503), skolem565(_u20506, _u20505, _u20504, _u20503)), c_Quotient_ORespects(_u20503, _u20504))) )).
% 20.36/20.63 cnf(matrix-8224, plain, ( ~c_Equiv__Relations_Oequivp(_u20503, _u20504) | ~hBOOL(hAPP(_u20506, skolem564(_u20506, _u20505, _u20504, _u20503))) | ~hBOOL(hAPP(_u20505, _u20501)) | hBOOL(hAPP(_u20506, skolem565(_u20506, _u20505, _u20504, _u20503))) )).
% 20.36/20.63 cnf(matrix-8225, plain, ( ~c_Equiv__Relations_Oequivp(_u20507, _u20508) | ( c_Quotient_OBabs(_u20507, _u20509, c_Quotient_ORespects(_u20507, _u20508), _u20510) = _u20510) )).
% 20.36/20.63 cnf(matrix-8226, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20511), _u20512), _u20513)) | ( hAPP(c_Quotient_OBabs(_u20511, _u20514, _u20513, _u20515), _u20512) = hAPP(_u20515, _u20512)) )).
% 20.36/20.63 cnf(matrix-8227, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20519, _u20519)), hAPP(hAPP(c_Product__Type_OPair(_u20519, _u20519), hAPP(_u20520, hAPP(c_Nat_OSuc, skolem566(_u20521, _u20520, _u20519)))), hAPP(_u20520, skolem566(_u20521, _u20520, _u20519)))), c_Transitive__Closure_Ortrancl(_u20519, _u20521))) | ~c_Wellfounded_Owf(_u20519, c_Transitive__Closure_Otrancl(_u20519, _u20521)) | ( hAPP(_u20520, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem567(_u20521, _u20520, _u20519)), _u20517)) = hAPP(_u20520, skolem567(_u20521, _u20520, _u20519))) )).
% 20.36/20.63 cnf(matrix-8228, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20523, tc_HOL_Obool)), _u20524), _u20525)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20526, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20523, tc_fun(_u20526, tc_HOL_Obool)), _u20525), _u20527)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20523, tc_fun(_u20526, tc_HOL_Obool)), _u20525), _u20528))) | hBOOL(hAPP(hAPP(c_member(_u20523), skolem568(_u20528, _u20527, _u20526, _u20525, _u20524, _u20523)), _u20525)) )).
% 20.36/20.63 cnf(matrix-8229, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20523, tc_HOL_Obool)), _u20524), _u20525)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20526, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20523, tc_fun(_u20526, tc_HOL_Obool)), _u20525), _u20527)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20523, tc_fun(_u20526, tc_HOL_Obool)), _u20525), _u20528))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20526, tc_HOL_Obool)), hAPP(_u20527, skolem568(_u20528, _u20527, _u20526, _u20525, _u20524, _u20523))), hAPP(_u20528, skolem568(_u20528, _u20527, _u20526, _u20525, _u20524, _u20523)))) )).
% 20.36/20.63 cnf(matrix-8230, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20532, tc_HOL_Obool)), _u20533), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20530, tc_fun(_u20532, tc_HOL_Obool)), _u20531), _u20534))) | hBOOL(hAPP(hAPP(c_member(_u20530), skolem569(_u20534, _u20533, _u20532, _u20531, _u20530)), _u20531)) )).
% 20.36/20.63 cnf(matrix-8231, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20532, tc_HOL_Obool)), _u20533), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20530, tc_fun(_u20532, tc_HOL_Obool)), _u20531), _u20534))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20532, tc_HOL_Obool)), _u20533), hAPP(_u20534, skolem569(_u20534, _u20533, _u20532, _u20531, _u20530)))) )).
% 20.36/20.63 cnf(matrix-8232, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20539, _u20540), tc_prod(_u20539, _u20540))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20539, _u20540), tc_prod(_u20539, _u20540)), hAPP(hAPP(c_Product__Type_OPair(_u20539, _u20540), _u20541), _u20542)), hAPP(hAPP(c_Product__Type_OPair(_u20539, _u20540), _u20543), _u20544))), c_Transitive__Closure_Ortrancl(tc_prod(_u20539, _u20540), _u20545))) | ~hBOOL(hAPP(hAPP(_u20546, _u20541), _u20542)) | hBOOL(hAPP(hAPP(_u20546, _u20543), _u20544)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20539, _u20540), tc_prod(_u20539, _u20540))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20539, _u20540), tc_prod(_u20539, _u20540)), hAPP(hAPP(c_Product__Type_OPair(_u20539, _u20540), _u20541), _u20542)), hAPP(hAPP(c_Product__Type_OPair(_u20539, _u20540), skolem570(_u20546, _u20545, _u20544, _u20543, _u20542, _u20541, _u20540, _u20539)), skolem571(_u20546, _u20545, _u20544, _u20543, _u20542, _u20541, _u20540, _u20539)))), c_Transitive__Closure_Ortrancl(tc_prod(_u20539, _u20540), _u20545))) )).
% 20.36/20.63 cnf(matrix-8233, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20539, _u20540), tc_prod(_u20539, _u20540))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20539, _u20540), tc_prod(_u20539, _u20540)), hAPP(hAPP(c_Product__Type_OPair(_u20539, _u20540), _u20541), _u20542)), hAPP(hAPP(c_Product__Type_OPair(_u20539, _u20540), _u20543), _u20544))), c_Transitive__Closure_Ortrancl(tc_prod(_u20539, _u20540), _u20545))) | ~hBOOL(hAPP(hAPP(_u20546, _u20541), _u20542)) | hBOOL(hAPP(hAPP(_u20546, _u20543), _u20544)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20539, _u20540), tc_prod(_u20539, _u20540))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20539, _u20540), tc_prod(_u20539, _u20540)), hAPP(hAPP(c_Product__Type_OPair(_u20539, _u20540), skolem570(_u20546, _u20545, _u20544, _u20543, _u20542, _u20541, _u20540, _u20539)), skolem571(_u20546, _u20545, _u20544, _u20543, _u20542, _u20541, _u20540, _u20539))), hAPP(hAPP(c_Product__Type_OPair(_u20539, _u20540), skolem572(_u20546, _u20545, _u20544, _u20543, _u20542, _u20541, _u20540, _u20539)), skolem573(_u20546, _u20545, _u20544, _u20543, _u20542, _u20541, _u20540, _u20539)))), _u20545)) )).
% 20.36/20.63 cnf(matrix-8234, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20539, _u20540), tc_prod(_u20539, _u20540))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20539, _u20540), tc_prod(_u20539, _u20540)), hAPP(hAPP(c_Product__Type_OPair(_u20539, _u20540), _u20541), _u20542)), hAPP(hAPP(c_Product__Type_OPair(_u20539, _u20540), _u20543), _u20544))), c_Transitive__Closure_Ortrancl(tc_prod(_u20539, _u20540), _u20545))) | ~hBOOL(hAPP(hAPP(_u20546, _u20541), _u20542)) | hBOOL(hAPP(hAPP(_u20546, _u20543), _u20544)) | hBOOL(hAPP(hAPP(_u20546, skolem570(_u20546, _u20545, _u20544, _u20543, _u20542, _u20541, _u20540, _u20539)), skolem571(_u20546, _u20545, _u20544, _u20543, _u20542, _u20541, _u20540, _u20539))) )).
% 20.36/20.63 cnf(matrix-8235, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20539, _u20540), tc_prod(_u20539, _u20540))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20539, _u20540), tc_prod(_u20539, _u20540)), hAPP(hAPP(c_Product__Type_OPair(_u20539, _u20540), _u20541), _u20542)), hAPP(hAPP(c_Product__Type_OPair(_u20539, _u20540), _u20543), _u20544))), c_Transitive__Closure_Ortrancl(tc_prod(_u20539, _u20540), _u20545))) | ~hBOOL(hAPP(hAPP(_u20546, _u20541), _u20542)) | hBOOL(hAPP(hAPP(_u20546, _u20543), _u20544)) | ~hBOOL(hAPP(hAPP(_u20546, skolem572(_u20546, _u20545, _u20544, _u20543, _u20542, _u20541, _u20540, _u20539)), skolem573(_u20546, _u20545, _u20544, _u20543, _u20542, _u20541, _u20540, _u20539))) )).
% 20.36/20.63 cnf(matrix-8236, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20549, _u20550), tc_prod(_u20549, _u20550))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20549, _u20550), tc_prod(_u20549, _u20550)), hAPP(hAPP(c_Product__Type_OPair(_u20549, _u20550), _u20551), _u20552)), hAPP(hAPP(c_Product__Type_OPair(_u20549, _u20550), _u20553), _u20554))), c_Transitive__Closure_Ortrancl(tc_prod(_u20549, _u20550), _u20555))) | ( hAPP(hAPP(c_Product__Type_OPair(_u20549, _u20550), _u20551), _u20552) = hAPP(hAPP(c_Product__Type_OPair(_u20549, _u20550), _u20553), _u20554)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20549, _u20550), tc_prod(_u20549, _u20550))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20549, _u20550), tc_prod(_u20549, _u20550)), hAPP(hAPP(c_Product__Type_OPair(_u20549, _u20550), _u20551), _u20552)), hAPP(hAPP(c_Product__Type_OPair(_u20549, _u20550), skolem574(_u20555, _u20554, _u20553, _u20552, _u20551, _u20550, _u20549)), skolem575(_u20555, _u20554, _u20553, _u20552, _u20551, _u20550, _u20549)))), _u20555)) )).
% 20.36/20.63 cnf(matrix-8237, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20549, _u20550), tc_prod(_u20549, _u20550))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20549, _u20550), tc_prod(_u20549, _u20550)), hAPP(hAPP(c_Product__Type_OPair(_u20549, _u20550), _u20551), _u20552)), hAPP(hAPP(c_Product__Type_OPair(_u20549, _u20550), _u20553), _u20554))), c_Transitive__Closure_Ortrancl(tc_prod(_u20549, _u20550), _u20555))) | ( hAPP(hAPP(c_Product__Type_OPair(_u20549, _u20550), _u20551), _u20552) = hAPP(hAPP(c_Product__Type_OPair(_u20549, _u20550), _u20553), _u20554)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20549, _u20550), tc_prod(_u20549, _u20550))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20549, _u20550), tc_prod(_u20549, _u20550)), hAPP(hAPP(c_Product__Type_OPair(_u20549, _u20550), skolem574(_u20555, _u20554, _u20553, _u20552, _u20551, _u20550, _u20549)), skolem575(_u20555, _u20554, _u20553, _u20552, _u20551, _u20550, _u20549))), hAPP(hAPP(c_Product__Type_OPair(_u20549, _u20550), _u20553), _u20554))), c_Transitive__Closure_Ortrancl(tc_prod(_u20549, _u20550), _u20555))) )).
% 20.36/20.63 cnf(matrix-8238, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20560, _u20561), tc_prod(_u20560, _u20561))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20560, _u20561), tc_prod(_u20560, _u20561)), hAPP(hAPP(c_Product__Type_OPair(_u20560, _u20561), _u20562), _u20563)), hAPP(hAPP(c_Product__Type_OPair(_u20560, _u20561), _u20564), _u20565))), c_Transitive__Closure_Ortrancl(tc_prod(_u20560, _u20561), _u20566))) | ~hBOOL(hAPP(hAPP(_u20567, _u20564), _u20565)) | hBOOL(hAPP(hAPP(_u20567, _u20562), _u20563)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20560, _u20561), tc_prod(_u20560, _u20561))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20560, _u20561), tc_prod(_u20560, _u20561)), hAPP(hAPP(c_Product__Type_OPair(_u20560, _u20561), skolem576(_u20567, _u20566, _u20565, _u20564, _u20563, _u20562, _u20561, _u20560)), skolem577(_u20567, _u20566, _u20565, _u20564, _u20563, _u20562, _u20561, _u20560))), hAPP(hAPP(c_Product__Type_OPair(_u20560, _u20561), skolem578(_u20567, _u20566, _u20565, _u20564, _u20563, _u20562, _u20561, _u20560)), skolem579(_u20567, _u20566, _u20565, _u20564, _u20563, _u20562, _u20561, _u20560)))), _u20566)) )).
% 20.36/20.63 cnf(matrix-8239, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20560, _u20561), tc_prod(_u20560, _u20561))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20560, _u20561), tc_prod(_u20560, _u20561)), hAPP(hAPP(c_Product__Type_OPair(_u20560, _u20561), _u20562), _u20563)), hAPP(hAPP(c_Product__Type_OPair(_u20560, _u20561), _u20564), _u20565))), c_Transitive__Closure_Ortrancl(tc_prod(_u20560, _u20561), _u20566))) | ~hBOOL(hAPP(hAPP(_u20567, _u20564), _u20565)) | hBOOL(hAPP(hAPP(_u20567, _u20562), _u20563)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20560, _u20561), tc_prod(_u20560, _u20561))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20560, _u20561), tc_prod(_u20560, _u20561)), hAPP(hAPP(c_Product__Type_OPair(_u20560, _u20561), skolem578(_u20567, _u20566, _u20565, _u20564, _u20563, _u20562, _u20561, _u20560)), skolem579(_u20567, _u20566, _u20565, _u20564, _u20563, _u20562, _u20561, _u20560))), hAPP(hAPP(c_Product__Type_OPair(_u20560, _u20561), _u20564), _u20565))), c_Transitive__Closure_Ortrancl(tc_prod(_u20560, _u20561), _u20566))) )).
% 20.36/20.63 cnf(matrix-8240, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20560, _u20561), tc_prod(_u20560, _u20561))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20560, _u20561), tc_prod(_u20560, _u20561)), hAPP(hAPP(c_Product__Type_OPair(_u20560, _u20561), _u20562), _u20563)), hAPP(hAPP(c_Product__Type_OPair(_u20560, _u20561), _u20564), _u20565))), c_Transitive__Closure_Ortrancl(tc_prod(_u20560, _u20561), _u20566))) | ~hBOOL(hAPP(hAPP(_u20567, _u20564), _u20565)) | hBOOL(hAPP(hAPP(_u20567, _u20562), _u20563)) | hBOOL(hAPP(hAPP(_u20567, skolem578(_u20567, _u20566, _u20565, _u20564, _u20563, _u20562, _u20561, _u20560)), skolem579(_u20567, _u20566, _u20565, _u20564, _u20563, _u20562, _u20561, _u20560))) )).
% 20.36/20.63 cnf(matrix-8241, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20560, _u20561), tc_prod(_u20560, _u20561))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20560, _u20561), tc_prod(_u20560, _u20561)), hAPP(hAPP(c_Product__Type_OPair(_u20560, _u20561), _u20562), _u20563)), hAPP(hAPP(c_Product__Type_OPair(_u20560, _u20561), _u20564), _u20565))), c_Transitive__Closure_Ortrancl(tc_prod(_u20560, _u20561), _u20566))) | ~hBOOL(hAPP(hAPP(_u20567, _u20564), _u20565)) | hBOOL(hAPP(hAPP(_u20567, _u20562), _u20563)) | ~hBOOL(hAPP(hAPP(_u20567, skolem576(_u20567, _u20566, _u20565, _u20564, _u20563, _u20562, _u20561, _u20560)), skolem577(_u20567, _u20566, _u20565, _u20564, _u20563, _u20562, _u20561, _u20560))) )).
% 20.36/20.63 cnf(matrix-8242, plain, ( c_Equiv__Relations_Ocongruent2(_u20572, _u20574, _u20577, _u20573, _u20575, _u20576) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20572, _u20572)), hAPP(hAPP(c_Product__Type_OPair(_u20572, _u20572), skolem580(_u20577, _u20576, _u20575, _u20574, _u20573, _u20572)), skolem581(_u20577, _u20576, _u20575, _u20574, _u20573, _u20572))), _u20573)) )).
% 20.36/20.63 cnf(matrix-8243, plain, ( c_Equiv__Relations_Ocongruent2(_u20572, _u20574, _u20577, _u20573, _u20575, _u20576) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20574, _u20574)), hAPP(hAPP(c_Product__Type_OPair(_u20574, _u20574), skolem582(_u20577, _u20576, _u20575, _u20574, _u20573, _u20572)), skolem583(_u20577, _u20576, _u20575, _u20574, _u20573, _u20572))), _u20575)) )).
% 20.36/20.63 cnf(matrix-8244, plain, ( c_Equiv__Relations_Ocongruent2(_u20572, _u20574, _u20577, _u20573, _u20575, _u20576) | ( hAPP(hAPP(_u20576, skolem580(_u20577, _u20576, _u20575, _u20574, _u20573, _u20572)), skolem582(_u20577, _u20576, _u20575, _u20574, _u20573, _u20572)) != hAPP(hAPP(_u20576, skolem581(_u20577, _u20576, _u20575, _u20574, _u20573, _u20572)), skolem583(_u20577, _u20576, _u20575, _u20574, _u20573, _u20572))) )).
% 20.36/20.63 cnf(matrix-8245, plain, ( c_Equiv__Relations_Ocongruent(_u20580, _u20583, _u20581, _u20582) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20580, _u20580)), hAPP(hAPP(c_Product__Type_OPair(_u20580, _u20580), skolem584(_u20583, _u20582, _u20581, _u20580)), skolem585(_u20583, _u20582, _u20581, _u20580))), _u20581)) )).
% 20.36/20.63 cnf(matrix-8246, plain, ( c_Equiv__Relations_Ocongruent(_u20580, _u20583, _u20581, _u20582) | ( hAPP(_u20582, skolem584(_u20583, _u20582, _u20581, _u20580)) != hAPP(_u20582, skolem585(_u20583, _u20582, _u20581, _u20580))) )).
% 20.36/20.63 cnf(matrix-8247, plain, ( ( c_Lazy__Sequence_Oflat(_u20584, c_Lazy__Sequence_Olazy__sequence_OInsert(tc_Lazy__Sequence_Olazy__sequence(_u20584), _u20585, _u20586)) = c_Lazy__Sequence_Oappend(_u20584, _u20585, c_Lazy__Sequence_Oflat(_u20584, _u20586))) )).
% 20.36/20.63 cnf(matrix-8248, plain, ( ~c_List_Oall__interval__nat(_u20592, _u20594, _u20596) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20587), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u20594), _u20596))) | hBOOL(hAPP(_u20592, _u20587)) )).
% 20.36/20.63 cnf(matrix-8249, plain, ( c_List_Oall__interval__nat(_u20593, _u20595, _u20597) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem586(_u20597, _u20595, _u20593)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u20595), _u20597))) )).
% 20.36/20.63 cnf(matrix-8250, plain, ( c_List_Oall__interval__nat(_u20593, _u20595, _u20597) | ~hBOOL(hAPP(_u20593, skolem586(_u20597, _u20595, _u20593))) )).
% 20.36/20.63 cnf(matrix-8251, plain, ( ( c_Lazy__Sequence_Oflat(_u20598, c_Lazy__Sequence_Olazy__sequence_OEmpty(tc_Lazy__Sequence_Olazy__sequence(_u20598))) = c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20598)) )).
% 20.36/20.63 cnf(matrix-8252, plain, ( ~c_List_Olist__all(tc_Nat_Onat, _u20602, c_List_Oupt(_u20604, _u20606)) | c_List_Oall__interval__nat(_u20602, _u20604, _u20606) )).
% 20.36/20.63 cnf(matrix-8253, plain, ( ~c_List_Oall__interval__nat(_u20603, _u20605, _u20607) | c_List_Olist__all(tc_Nat_Onat, _u20603, c_List_Oupt(_u20605, _u20607)) )).
% 20.36/20.63 cnf(matrix-8254, plain, ( ~c_List_Olist__ex(tc_Nat_Onat, _u20611, c_List_Oupt(_u20613, _u20615)) | ~c_List_Oall__interval__nat(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat, c_fNot), _u20611), _u20613, _u20615) )).
% 20.36/20.63 cnf(matrix-8255, plain, ( c_List_Oall__interval__nat(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat, c_fNot), _u20612), _u20614, _u20616) | c_List_Olist__ex(tc_Nat_Onat, _u20612, c_List_Oupt(_u20614, _u20616)) )).
% 20.36/20.63 cnf(matrix-8256, plain, ( ( hAPP(c_Lazy__Sequence_Obind(_u20617, _u20618, _u20619), _u20620) = c_Lazy__Sequence_Oflat(_u20618, c_Lazy__Sequence_Omap(_u20617, tc_Lazy__Sequence_Olazy__sequence(_u20618), _u20620, _u20619))) )).
% 20.36/20.63 cnf(matrix-8257, plain, ( ~c_Finite__Set_Ofolding__image(_u20622, _u20623, _u20624, _u20625, _u20626) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20623), _u20627)) | ( hAPP(hAPP(_u20626, _u20628), _u20627) = hAPP(hAPP(_u20626, _u20629), _u20627)) | hBOOL(hAPP(hAPP(c_member(_u20623), skolem587(_u20629, _u20628, _u20627, _u20626, _u20625, _u20624, _u20623)), _u20627)) )).
% 20.36/20.63 cnf(matrix-8258, plain, ( ~c_Finite__Set_Ofolding__image(_u20622, _u20623, _u20624, _u20625, _u20626) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20623), _u20627)) | ( hAPP(hAPP(_u20626, _u20628), _u20627) = hAPP(hAPP(_u20626, _u20629), _u20627)) | ( hAPP(_u20628, skolem587(_u20629, _u20628, _u20627, _u20626, _u20625, _u20624, _u20623)) != hAPP(_u20629, skolem587(_u20629, _u20628, _u20627, _u20626, _u20625, _u20624, _u20623))) )).
% 20.36/20.63 cnf(matrix-8259, plain, ( ( c_Lazy__Sequence_Omap(_u20630, _u20631, _u20632, c_Lazy__Sequence_Olazy__sequence_OInsert(_u20630, _u20633, _u20634)) = c_Lazy__Sequence_Olazy__sequence_OInsert(_u20631, hAPP(_u20632, _u20633), c_Lazy__Sequence_Omap(_u20630, _u20631, _u20632, _u20634))) )).
% 20.36/20.63 cnf(matrix-8260, plain, ( ( c_Lazy__Sequence_Omap(_u20635, _u20636, _u20637, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20635)) = c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20636)) )).
% 20.36/20.63 cnf(matrix-8261, plain, ( ( c_New__DSequence_Opos__map(_u20638, _u20639, _u20640, _u20641, _u20642) = c_Lazy__Sequence_Omap(_u20638, _u20639, _u20640, hAPP(_u20641, _u20642))) )).
% 20.36/20.63 cnf(matrix-8262, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u20643), _u20644)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u20643), _u20645))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u20643)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20644), _u20645)) )).
% 20.36/20.63 cnf(matrix-8263, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20646), _u20646)) )).
% 20.36/20.63 cnf(matrix-8264, plain, ( ~class_Rings_Ocomm__semiring__1(_u20647) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20647), _u20648), c_Groups_Ozero__class_Ozero(_u20647))) )).
% 20.36/20.63 cnf(matrix-8265, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u20649)) )).
% 20.36/20.63 cnf(matrix-8266, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20650), _u20651)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20650), _u20652))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u20650)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20651), _u20652)) )).
% 20.36/20.63 cnf(matrix-8267, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u20653)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20653), _u20654)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20653), _u20655))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20654), _u20655)) )).
% 20.36/20.63 cnf(matrix-8268, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u20653)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20654), _u20655)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20653), _u20654)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20653), _u20655))) )).
% 20.36/20.63 cnf(matrix-8269, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20656) | ~class_Rings_Odvd(_u20656) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20657), _u20658)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20657, tc_HOL_Obool)), _u20659), _u20658)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20656), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u20657, _u20656), _u20660), _u20659)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u20657, _u20656), _u20660), _u20658))) )).
% 20.36/20.63 cnf(matrix-8270, plain, ( ~class_Rings_Ocomm__ring(_u20663) | ~class_Rings_Odvd(_u20663) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20663), _u20664), _u20665)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20663), _u20664), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20663), _u20669), _u20666))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20663), _u20664), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20663), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u20663), _u20669), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20663), _u20667), _u20665))), _u20666))) )).
% 20.36/20.63 cnf(matrix-8271, plain, ( ~class_Rings_Ocomm__ring(_u20663) | ~class_Rings_Odvd(_u20663) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20663), _u20664), _u20665)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20663), _u20664), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20663), _u20670), _u20666))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20663), _u20664), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20663), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u20663), _u20670), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20663), _u20668), _u20665))), _u20666))) )).
% 20.36/20.63 cnf(matrix-8272, plain, ( ~class_Rings_Ocomm__ring(_u20673) | ~class_Rings_Odvd(_u20673) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20673), _u20674), _u20675)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20673), _u20674), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20673), _u20679), _u20676))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20673), _u20674), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20673), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u20673), _u20679), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20673), _u20677), _u20675))), _u20676))) )).
% 20.36/20.63 cnf(matrix-8273, plain, ( ~class_Rings_Ocomm__ring(_u20673) | ~class_Rings_Odvd(_u20673) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20673), _u20674), _u20675)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20673), _u20674), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20673), _u20680), _u20676))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20673), _u20674), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20673), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u20673), _u20680), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20673), _u20678), _u20675))), _u20676))) )).
% 20.36/20.63 cnf(matrix-8274, plain, ( ~class_Divides_Osemiring__div(_u20681) | ( _u20682 = c_Groups_Ozero__class_Ozero(_u20681)) | ( _u20683 = c_Groups_Ozero__class_Ozero(_u20681)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20681), _u20682), _u20684)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20681), _u20683), _u20685)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20681), _u20684), _u20682) != hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20681), _u20685), _u20683)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20681), _u20684), _u20683) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20681), _u20682), _u20685)) )).
% 20.36/20.63 cnf(matrix-8275, plain, ( ~class_Divides_Osemiring__div(_u20681) | ( _u20682 = c_Groups_Ozero__class_Ozero(_u20681)) | ( _u20683 = c_Groups_Ozero__class_Ozero(_u20681)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20681), _u20682), _u20684)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20681), _u20683), _u20685)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20681), _u20684), _u20683) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20681), _u20682), _u20685)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20681), _u20684), _u20682) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20681), _u20685), _u20683)) )).
% 20.36/20.63 cnf(matrix-8276, plain, ( ~class_Divides_Osemiring__div(_u20686) | ( _u20687 = c_Groups_Ozero__class_Ozero(_u20686)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20686), _u20687), _u20688)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20686), _u20688), _u20687) != _u20689) | ( _u20688 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20686), _u20689), _u20687)) )).
% 20.36/20.63 cnf(matrix-8277, plain, ( ~class_Divides_Osemiring__div(_u20686) | ( _u20687 = c_Groups_Ozero__class_Ozero(_u20686)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20686), _u20687), _u20688)) | ( _u20688 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20686), _u20689), _u20687)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20686), _u20688), _u20687) = _u20689) )).
% 20.36/20.63 cnf(matrix-8278, plain, ( ~class_Rings_Odvd(_u20694) | ~class_Rings_Osemiring__0(_u20694) | ~hBOOL(hAPP(_u20695, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20694), _u20696), _u20690))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20694), _u20696), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20694), skolem588(_u20696, _u20695, _u20694)), c_Groups_Ozero__class_Ozero(_u20694)))) )).
% 20.36/20.63 cnf(matrix-8279, plain, ( ~class_Rings_Odvd(_u20694) | ~class_Rings_Osemiring__0(_u20694) | ~hBOOL(hAPP(_u20695, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20694), _u20696), _u20690))) | hBOOL(hAPP(_u20695, skolem588(_u20696, _u20695, _u20694))) )).
% 20.36/20.63 cnf(matrix-8280, plain, ( ~class_Rings_Odvd(_u20694) | ~class_Rings_Osemiring__0(_u20694) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20694), _u20696), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20694), _u20692), c_Groups_Ozero__class_Ozero(_u20694)))) | ~hBOOL(hAPP(_u20695, _u20692)) | hBOOL(hAPP(_u20695, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20694), _u20696), skolem589(_u20696, _u20695, _u20694)))) )).
% 20.36/20.63 cnf(matrix-8281, plain, ( ~class_Divides_Osemiring__div(_u20697) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20697), _u20698), _u20699)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20697), _u20698), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20697), _u20699), _u20698)) = _u20699) )).
% 20.36/20.63 cnf(matrix-8282, plain, ( ~class_Divides_Osemiring__div(_u20700) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20700), _u20701), _u20702)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20700), _u20703), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20700), _u20702), _u20701)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20700), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20700), _u20703), _u20702)), _u20701)) )).
% 20.36/20.63 cnf(matrix-8283, plain, ( ~class_Divides_Osemiring__div(_u20704) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20704), _u20705), _u20706)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20704), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20704), _u20706), _u20705)), _u20705) = _u20706) )).
% 20.36/20.63 cnf(matrix-8284, plain, ( ~class_Divides_Osemiring__div(_u20707) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20707), _u20708), _u20709)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20707), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20707), _u20709), _u20708)), _u20710) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20707), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20707), _u20709), _u20710)), _u20708)) )).
% 20.36/20.63 cnf(matrix-8285, plain, ( ~class_Divides_Osemiring__div(_u20711) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20711), _u20712), _u20713)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20711), _u20714), _u20715)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20711), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20711), _u20713), _u20712)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20711), _u20715), _u20714)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20711), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20711), _u20713), _u20715)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20711), _u20712), _u20714))) )).
% 20.36/20.63 cnf(matrix-8286, plain, ( ~class_Rings_Oidom(_u20716) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20716), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20716), _u20717), _u20718)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20716), _u20717), _u20719))) | ( _u20717 = c_Groups_Ozero__class_Ozero(_u20716)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20716), _u20718), _u20719)) )).
% 20.36/20.63 cnf(matrix-8287, plain, ( ~class_Rings_Oidom(_u20716) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20716), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20716), _u20717), _u20718)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20716), _u20717), _u20719))) | ( _u20717 != c_Groups_Ozero__class_Ozero(_u20716)) )).
% 20.36/20.63 cnf(matrix-8288, plain, ( ~class_Rings_Oidom(_u20716) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20716), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20716), _u20717), _u20718)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20716), _u20717), _u20719))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20716), _u20718), _u20719)) )).
% 20.36/20.63 cnf(matrix-8289, plain, ( ~class_Rings_Oidom(_u20720) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20720), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20720), _u20721), _u20722)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20720), _u20723), _u20722))) | ( _u20722 = c_Groups_Ozero__class_Ozero(_u20720)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20720), _u20721), _u20723)) )).
% 20.36/20.63 cnf(matrix-8290, plain, ( ~class_Rings_Oidom(_u20720) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20720), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20720), _u20721), _u20722)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20720), _u20723), _u20722))) | ( _u20722 != c_Groups_Ozero__class_Ozero(_u20720)) )).
% 20.36/20.63 cnf(matrix-8291, plain, ( ~class_Rings_Oidom(_u20720) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20720), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20720), _u20721), _u20722)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20720), _u20723), _u20722))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20720), _u20721), _u20723)) )).
% 20.36/20.63 cnf(matrix-8292, plain, ( ~class_Rings_Ocomm__semiring__1(_u20724) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20724), _u20725), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20724), _u20725), _u20726))) )).
% 20.36/20.63 cnf(matrix-8293, plain, ( ~class_Rings_Ocomm__semiring__1(_u20727) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20727), _u20728), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20727), _u20729), _u20728))) )).
% 20.36/20.63 cnf(matrix-8294, plain, ( ~class_Rings_Ocomm__semiring__1(_u20730) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20730), _u20731), _u20732)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20730), _u20731), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20730), _u20732), _u20733))) )).
% 20.36/20.63 cnf(matrix-8295, plain, ( ~class_Rings_Ocomm__semiring__1(_u20734) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20734), _u20735), _u20736)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20734), _u20735), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20734), _u20737), _u20736))) )).
% 20.36/20.63 cnf(matrix-8296, plain, ( ~class_Rings_Ocomm__semiring__1(_u20738) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20738), _u20739), _u20740)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20738), _u20741), _u20742)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20738), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20738), _u20739), _u20741)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20738), _u20740), _u20742))) )).
% 20.36/20.63 cnf(matrix-8297, plain, ( ~class_Rings_Odvd(_u20743) | ( _u20744 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20743), _u20745), _u20746)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20743), _u20745), _u20744)) )).
% 20.36/20.63 cnf(matrix-8298, plain, ( ~class_Rings_Ocomm__semiring__1(_u20747) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20747), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20747), _u20748), _u20749)), _u20750)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20747), _u20748), _u20750)) )).
% 20.36/20.63 cnf(matrix-8299, plain, ( ~class_Rings_Ocomm__semiring__1(_u20751) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20751), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20751), _u20752), _u20753)), _u20754)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20751), _u20753), _u20754)) )).
% 20.36/20.63 cnf(matrix-8300, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20758), _u20760)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20758), _u20762))) | ( _u20758 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20760), _u20762)) )).
% 20.36/20.63 cnf(matrix-8301, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20759), _u20761)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20759), _u20763))) | ( _u20759 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 20.36/20.63 cnf(matrix-8302, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20759), _u20761)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20759), _u20763))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20761), _u20763)) )).
% 20.36/20.63 cnf(matrix-8303, plain, ( ~class_Rings_Ocomm__semiring__1(_u20764) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20765), _u20766)) | ~hBOOL(hAPP(hAPP(c_member(_u20765), _u20767), _u20766)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20764), hAPP(_u20768, _u20767)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u20765, _u20764), _u20768), _u20766))) )).
% 20.36/20.63 cnf(matrix-8304, plain, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20772, _u20774) != hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u20776), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u20772 = _u20774) )).
% 20.36/20.63 cnf(matrix-8305, plain, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20772, _u20774) != hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u20776), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u20774 = _u20776) )).
% 20.36/20.63 cnf(matrix-8306, plain, ( ( _u20773 != _u20775) | ( _u20775 != _u20777) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20773, _u20775) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u20777), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 20.36/20.63 cnf(matrix-8307, plain, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20778, _u20778) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u20778), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 20.36/20.63 cnf(matrix-8308, plain, ( ( _u20779 != _u20780) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20779, _u20780) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u20779), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 20.36/20.63 cnf(matrix-8309, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) != c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20783, _u20785)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20783), _u20785)) )).
% 20.36/20.63 cnf(matrix-8310, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20784), _u20786)) | ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) = c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20784, _u20786)) )).
% 20.36/20.63 cnf(matrix-8311, plain, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20789, _u20791) != c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20789), _u20791)) )).
% 20.36/20.63 cnf(matrix-8312, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20790), _u20792)) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20790, _u20792) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 20.36/20.63 cnf(matrix-8313, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20793), _u20794)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20794), _u20793)) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20794, _u20793) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 20.36/20.63 cnf(matrix-8314, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20795), _u20796)) | ( c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20796, _u20795) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 20.36/20.63 cnf(matrix-8315, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20797), _u20798)) | ( c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20798, _u20797) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 20.36/20.63 cnf(matrix-8316, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20799), _u20800)) | ( c_SetInterval_Oord_OgreaterThanLessThan(tc_Nat_Onat, hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20800, _u20799) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 20.36/20.63 cnf(matrix-8317, plain, ( ( c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20803, _u20805) != c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20803), _u20805)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20805), _u20803)) )).
% 20.36/20.63 cnf(matrix-8318, plain, ( ( c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20804, _u20806) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20804), _u20806)) )).
% 20.36/20.63 cnf(matrix-8319, plain, ( ( c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20804, _u20806) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20806), _u20804)) )).
% 20.36/20.63 cnf(matrix-8320, plain, ( ( c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20809, _u20811) != c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20809), _u20811)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20811), _u20809)) )).
% 20.36/20.63 cnf(matrix-8321, plain, ( ( c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20810, _u20812) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20810), _u20812)) )).
% 20.36/20.63 cnf(matrix-8322, plain, ( ( c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20810, _u20812) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20812), _u20810)) )).
% 20.36/20.63 cnf(matrix-8323, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) != c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20815, _u20817)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20815), _u20817)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20817), _u20815)) )).
% 20.36/20.63 cnf(matrix-8324, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) = c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20816, _u20818)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20816), _u20818)) )).
% 20.36/20.63 cnf(matrix-8325, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) = c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20816, _u20818)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20818), _u20816)) )).
% 20.36/20.63 cnf(matrix-8326, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) != c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20821, _u20823)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20821), _u20823)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20823), _u20821)) )).
% 20.36/20.63 cnf(matrix-8327, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) = c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20822, _u20824)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20822), _u20824)) )).
% 20.36/20.63 cnf(matrix-8328, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) = c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20822, _u20824)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20824), _u20822)) )).
% 20.36/20.63 cnf(matrix-8329, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20825), _u20826)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20825), _u20827)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20825), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u20826), _u20827))) )).
% 20.36/20.63 cnf(matrix-8330, plain, ( ~class_Rings_Ocomm__ring__1(_u20828) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20828), _u20829), _u20830)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20828), _u20829), _u20831)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20828), _u20829), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u20828), _u20830), _u20831))) )).
% 20.36/20.63 cnf(matrix-8331, plain, ( ~class_Rings_Ocomm__ring__1(_u20832) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20832), _u20833), hAPP(c_Groups_Ouminus__class_Ouminus(_u20832), _u20834))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20832), _u20833), _u20834)) )).
% 20.36/20.63 cnf(matrix-8332, plain, ( ~class_Rings_Ocomm__ring__1(_u20832) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20832), _u20833), _u20834)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20832), _u20833), hAPP(c_Groups_Ouminus__class_Ouminus(_u20832), _u20834))) )).
% 20.36/20.63 cnf(matrix-8333, plain, ( ~class_Rings_Ocomm__ring__1(_u20835) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20835), hAPP(c_Groups_Ouminus__class_Ouminus(_u20835), _u20836)), _u20837)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20835), _u20836), _u20837)) )).
% 20.36/20.63 cnf(matrix-8334, plain, ( ~class_Rings_Ocomm__ring__1(_u20835) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20835), _u20836), _u20837)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20835), hAPP(c_Groups_Ouminus__class_Ouminus(_u20835), _u20836)), _u20837)) )).
% 20.36/20.63 cnf(matrix-8335, plain, ( ~class_Divides_Oring__div(_u20838) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20838), _u20839), _u20840)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20838), hAPP(c_Groups_Ouminus__class_Ouminus(_u20838), _u20840)), _u20839) = hAPP(c_Groups_Ouminus__class_Ouminus(_u20838), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20838), _u20840), _u20839))) )).
% 20.36/20.63 cnf(matrix-8336, plain, ( ~class_Divides_Oring__div(_u20841) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20841), _u20842), _u20843)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20841), _u20843), hAPP(c_Groups_Ouminus__class_Ouminus(_u20841), _u20842)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u20841), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20841), _u20843), _u20842))) )).
% 20.36/20.63 cnf(matrix-8337, plain, ( ~class_Divides_Osemiring__div(_u20844) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20844), _u20845), _u20846)) | ( c_Divides_Odiv__class_Omod(_u20844, _u20846, _u20845) = c_Groups_Ozero__class_Ozero(_u20844)) )).
% 20.36/20.63 cnf(matrix-8338, plain, ( ~class_Divides_Osemiring__div(_u20844) | ( c_Divides_Odiv__class_Omod(_u20844, _u20846, _u20845) != c_Groups_Ozero__class_Ozero(_u20844)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20844), _u20845), _u20846)) )).
% 20.36/20.63 cnf(matrix-8339, plain, ( ~class_Divides_Osemiring__div(_u20847) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20847), _u20848), _u20849)) | ( c_Divides_Odiv__class_Omod(_u20847, _u20849, _u20848) = c_Groups_Ozero__class_Ozero(_u20847)) )).
% 20.36/20.63 cnf(matrix-8340, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20854, _u20856)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20858, _u20860))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20854), _u20856)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20858), _u20854)) )).
% 20.36/20.63 cnf(matrix-8341, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20854, _u20856)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20858, _u20860))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20854), _u20856)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20856), _u20860)) )).
% 20.36/20.63 cnf(matrix-8342, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20854, _u20856)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20858, _u20860))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20854), _u20856)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20858), _u20854)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20856), _u20860)) )).
% 20.36/20.63 cnf(matrix-8343, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20854, _u20856)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20858, _u20860))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20854), _u20856)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20858), _u20854)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20860), _u20856)) )).
% 20.36/20.63 cnf(matrix-8344, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20854, _u20856)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20858, _u20860))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20854), _u20856)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20854), _u20858)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20856), _u20860)) )).
% 20.36/20.63 cnf(matrix-8345, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20854, _u20856)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20858, _u20860))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20854), _u20856)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20854), _u20858)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20860), _u20856)) )).
% 20.36/20.63 cnf(matrix-8346, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20854, _u20856)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20858, _u20860))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20858), _u20860)) )).
% 20.36/20.63 cnf(matrix-8347, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20855, _u20857)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20859, _u20861))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20859), _u20861)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20855), _u20857)) )).
% 20.36/20.63 cnf(matrix-8348, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20855, _u20857)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20859, _u20861))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20859), _u20861)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20859), _u20855)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20857), _u20861)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20855), _u20859)) )).
% 20.36/20.63 cnf(matrix-8349, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20855, _u20857)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20859, _u20861))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20859), _u20861)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20859), _u20855)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20857), _u20861)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20861), _u20857)) )).
% 20.36/20.63 cnf(matrix-8350, plain, ( ~class_Rings_Olinordered__idom(_u20862) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20862), _u20863), hAPP(c_Groups_Oabs__class_Oabs(_u20862), _u20864))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20862), _u20863), _u20864)) )).
% 20.36/20.63 cnf(matrix-8351, plain, ( ~class_Rings_Olinordered__idom(_u20862) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20862), _u20863), _u20864)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20862), _u20863), hAPP(c_Groups_Oabs__class_Oabs(_u20862), _u20864))) )).
% 20.36/20.63 cnf(matrix-8352, plain, ( ~class_Rings_Olinordered__idom(_u20865) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20865), hAPP(c_Groups_Oabs__class_Oabs(_u20865), _u20866)), _u20867)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20865), _u20866), _u20867)) )).
% 20.36/20.63 cnf(matrix-8353, plain, ( ~class_Rings_Olinordered__idom(_u20865) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20865), _u20866), _u20867)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20865), hAPP(c_Groups_Oabs__class_Oabs(_u20865), _u20866)), _u20867)) )).
% 20.36/20.63 cnf(matrix-8354, plain, ( ~class_Rings_Olinordered__idom(_u20868) | ( hAPP(c_Groups_Oabs__class_Oabs(_u20868), _u20869) != hAPP(c_Groups_Oabs__class_Oabs(_u20868), _u20870)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20868), _u20869), _u20870)) )).
% 20.36/20.63 cnf(matrix-8355, plain, ( ~class_Rings_Ocomm__semiring__1(_u20871) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20871), _u20872), _u20873)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20871), _u20873), _u20874)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20871), _u20872), _u20874)) )).
% 20.36/20.63 cnf(matrix-8356, plain, ( ~class_Rings_Ocomm__semiring__1(_u20875) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20875), _u20876), _u20876)) )).
% 20.36/20.63 cnf(matrix-8357, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20879), _u20880)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20880), _u20879)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20880), _u20881)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20881), _u20880)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20879), _u20881)) )).
% 20.36/20.63 cnf(matrix-8358, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20879), _u20880)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20880), _u20879)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20880), _u20881)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20881), _u20880)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20881), _u20879)) )).
% 20.36/20.63 cnf(matrix-8359, plain, ( class_Lattices_Obounded__lattice(tc_HOL_Obool) )).
% 20.36/20.63 cnf(matrix-8360, plain, ( ~class_Lattices_Obounded__lattice(_u20882) | class_Lattices_Obounded__lattice(tc_fun(_u20883, _u20882)) )).
% 20.36/20.63 cnf(matrix-8361, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20884) | class_Complete__Lattice_Ocomplete__lattice(tc_fun(_u20885, _u20884)) )).
% 20.36/20.63 cnf(matrix-8362, plain, ( ~class_Lattices_Obounded__lattice(_u20886) | class_Lattices_Obounded__lattice__top(tc_fun(_u20887, _u20886)) )).
% 20.36/20.63 cnf(matrix-8363, plain, ( ~class_Lattices_Obounded__lattice(_u20888) | class_Lattices_Obounded__lattice__bot(tc_fun(_u20889, _u20888)) )).
% 20.36/20.63 cnf(matrix-8364, plain, ( ~class_Lattices_Olattice(_u20890) | class_Lattices_Osemilattice__sup(tc_fun(_u20891, _u20890)) )).
% 20.36/20.63 cnf(matrix-8365, plain, ( ~class_Lattices_Olattice(_u20892) | class_Lattices_Osemilattice__inf(tc_fun(_u20893, _u20892)) )).
% 20.36/20.63 cnf(matrix-8366, plain, ( ~class_Lattices_Odistrib__lattice(_u20894) | class_Lattices_Odistrib__lattice(tc_fun(_u20895, _u20894)) )).
% 20.36/20.63 cnf(matrix-8367, plain, ( ~class_Lattices_Oboolean__algebra(_u20896) | class_Lattices_Oboolean__algebra(tc_fun(_u20897, _u20896)) )).
% 20.36/20.63 cnf(matrix-8368, plain, ( ~class_Orderings_Opreorder(_u20898) | class_Orderings_Opreorder(tc_fun(_u20899, _u20898)) )).
% 20.36/20.63 cnf(matrix-8369, plain, ( ~class_Finite__Set_Ofinite(_u20900) | ~class_Finite__Set_Ofinite(_u20901) | class_Finite__Set_Ofinite(tc_fun(_u20900, _u20901)) )).
% 20.36/20.63 cnf(matrix-8370, plain, ( ~class_Lattices_Olattice(_u20902) | class_Lattices_Olattice(tc_fun(_u20903, _u20902)) )).
% 20.36/20.63 cnf(matrix-8371, plain, ( ~class_Orderings_Oorder(_u20904) | class_Orderings_Oorder(tc_fun(_u20905, _u20904)) )).
% 20.36/20.63 cnf(matrix-8372, plain, ( ~class_Orderings_Otop(_u20906) | class_Orderings_Otop(tc_fun(_u20907, _u20906)) )).
% 20.36/20.63 cnf(matrix-8373, plain, ( ~class_Orderings_Oord(_u20908) | class_Orderings_Oord(tc_fun(_u20909, _u20908)) )).
% 20.36/20.63 cnf(matrix-8374, plain, ( ~class_Orderings_Obot(_u20910) | class_Orderings_Obot(tc_fun(_u20911, _u20910)) )).
% 20.36/20.63 cnf(matrix-8375, plain, ( ~class_Groups_Ouminus(_u20912) | class_Groups_Ouminus(tc_fun(_u20913, _u20912)) )).
% 20.36/20.63 cnf(matrix-8376, plain, ( ~class_Groups_Ominus(_u20914) | class_Groups_Ominus(tc_fun(_u20915, _u20914)) )).
% 20.36/20.63 cnf(matrix-8377, plain, ( ~class_Enum_Oenum(_u20916) | ~class_Enum_Oenum(_u20917) | class_Enum_Oenum(tc_fun(_u20916, _u20917)) )).
% 20.36/20.63 cnf(matrix-8378, plain, ( class_Nat_Osize(tc_Com_Ocom) )).
% 20.36/20.63 cnf(matrix-8379, plain, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8380, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8381, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8382, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8383, plain, ( class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8384, plain, ( class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8385, plain, ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8386, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8387, plain, ( class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8388, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8389, plain, ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8390, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8391, plain, ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8392, plain, ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8393, plain, ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8394, plain, ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8395, plain, ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8396, plain, ( class_Rings_Olinordered__semiring__1(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8397, plain, ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8398, plain, ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8399, plain, ( class_Rings_Olinordered__semiring(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8400, plain, ( class_Rings_Olinordered__semidom(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8401, plain, ( class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8402, plain, ( class_Lattices_Osemilattice__sup(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8403, plain, ( class_Lattices_Osemilattice__inf(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8404, plain, ( class_Lattices_Odistrib__lattice(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8405, plain, ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8406, plain, ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8407, plain, ( class_Groups_Oab__semigroup__add(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8408, plain, ( class_Rings_Oordered__semiring(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8409, plain, ( class_Rings_Oordered__ring__abs(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8410, plain, ( class_Rings_Ono__zero__divisors(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8411, plain, ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8412, plain, ( class_Rings_Olinordered__ring(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8413, plain, ( class_Rings_Olinordered__idom(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8414, plain, ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8415, plain, ( class_Groups_Osemigroup__add(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8416, plain, ( class_Divides_Osemiring__div(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8417, plain, ( class_Rings_Ocomm__semiring(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8418, plain, ( class_Nat_Osemiring__char__0(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8419, plain, ( class_Groups_Oab__group__add(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8420, plain, ( class_Rings_Ozero__neq__one(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8421, plain, ( class_Rings_Oordered__ring(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8422, plain, ( class_Orderings_Opreorder(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8423, plain, ( class_Orderings_Olinorder(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8424, plain, ( class_Groups_Omonoid__mult(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8425, plain, ( class_Rings_Ocomm__ring__1(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8426, plain, ( class_Groups_Omonoid__add(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8427, plain, ( class_Rings_Osemiring__1(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8428, plain, ( class_Rings_Osemiring__0(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8429, plain, ( class_Lattices_Olattice(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8430, plain, ( class_Groups_Ogroup__add(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8431, plain, ( class_Divides_Oring__div(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8432, plain, ( class_Rings_Omult__zero(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8433, plain, ( class_Rings_Ocomm__ring(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8434, plain, ( class_Orderings_Oorder(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8435, plain, ( class_Int_Oring__char__0(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8436, plain, ( class_Int_Onumber__ring(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8437, plain, ( class_Rings_Osemiring(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8438, plain, ( class_Orderings_Oord(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8439, plain, ( class_Groups_Ouminus(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8440, plain, ( class_Groups_Osgn__if(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8441, plain, ( class_Groups_Oabs__if(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8442, plain, ( class_Rings_Oring__1(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8443, plain, ( class_Groups_Ominus(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8444, plain, ( class_Power_Opower(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8445, plain, ( class_Groups_Ozero(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8446, plain, ( class_Rings_Oring(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8447, plain, ( class_Rings_Oidom(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8448, plain, ( class_Int_Onumber(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8449, plain, ( class_Groups_Oone(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8450, plain, ( class_Rings_Odvd(tc_Int_Oint) )).
% 20.36/20.63 cnf(matrix-8451, plain, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8452, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8453, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8454, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8455, plain, ( class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8456, plain, ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8457, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8458, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8459, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8460, plain, ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8461, plain, ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8462, plain, ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8463, plain, ( class_Rings_Olinordered__semiring(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8464, plain, ( class_Rings_Olinordered__semidom(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8465, plain, ( class_Lattices_Osemilattice__sup(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8466, plain, ( class_Lattices_Osemilattice__inf(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8467, plain, ( class_Lattices_Odistrib__lattice(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8468, plain, ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8469, plain, ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8470, plain, ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8471, plain, ( class_Rings_Oordered__semiring(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8472, plain, ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8473, plain, ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8474, plain, ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8475, plain, ( class_Groups_Osemigroup__add(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8476, plain, ( class_Divides_Osemiring__div(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8477, plain, ( class_Rings_Ocomm__semiring(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8478, plain, ( class_Orderings_Owellorder(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8479, plain, ( class_Nat_Osemiring__char__0(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8480, plain, ( class_Rings_Ozero__neq__one(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8481, plain, ( class_Orderings_Opreorder(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8482, plain, ( class_Orderings_Olinorder(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8483, plain, ( class_Groups_Omonoid__mult(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8484, plain, ( class_Groups_Omonoid__add(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8485, plain, ( class_Rings_Osemiring__1(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8486, plain, ( class_Rings_Osemiring__0(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8487, plain, ( class_Lattices_Olattice(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8488, plain, ( class_Rings_Omult__zero(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8489, plain, ( class_Orderings_Oorder(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8490, plain, ( class_Rings_Osemiring(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8491, plain, ( class_Orderings_Oord(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8492, plain, ( class_Orderings_Obot(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8493, plain, ( class_Groups_Ominus(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8494, plain, ( class_Power_Opower(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8495, plain, ( class_Groups_Ozero(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8496, plain, ( class_Int_Onumber(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8497, plain, ( class_Groups_Oone(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8498, plain, ( class_Rings_Odvd(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8499, plain, ( class_Nat_Osize(tc_Nat_Onat) )).
% 20.36/20.63 cnf(matrix-8500, plain, ( class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) )).
% 20.36/20.63 cnf(matrix-8501, plain, ( class_Lattices_Obounded__lattice__top(tc_HOL_Obool) )).
% 20.36/20.63 cnf(matrix-8502, plain, ( class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) )).
% 20.36/20.63 cnf(matrix-8503, plain, ( class_Lattices_Osemilattice__sup(tc_HOL_Obool) )).
% 20.36/20.63 cnf(matrix-8504, plain, ( class_Lattices_Osemilattice__inf(tc_HOL_Obool) )).
% 20.36/20.63 cnf(matrix-8505, plain, ( class_Lattices_Odistrib__lattice(tc_HOL_Obool) )).
% 20.36/20.63 cnf(matrix-8506, plain, ( class_Lattices_Oboolean__algebra(tc_HOL_Obool) )).
% 20.36/20.63 cnf(matrix-8507, plain, ( class_Orderings_Opreorder(tc_HOL_Obool) )).
% 20.36/20.63 cnf(matrix-8508, plain, ( class_Finite__Set_Ofinite(tc_HOL_Obool) )).
% 20.36/20.63 cnf(matrix-8509, plain, ( class_Lattices_Olattice(tc_HOL_Obool) )).
% 20.36/20.63 cnf(matrix-8510, plain, ( class_Orderings_Oorder(tc_HOL_Obool) )).
% 20.36/20.63 cnf(matrix-8511, plain, ( class_Orderings_Otop(tc_HOL_Obool) )).
% 20.36/20.63 cnf(matrix-8512, plain, ( class_Orderings_Oord(tc_HOL_Obool) )).
% 20.36/20.63 cnf(matrix-8513, plain, ( class_Orderings_Obot(tc_HOL_Obool) )).
% 20.36/20.63 cnf(matrix-8514, plain, ( class_Groups_Ouminus(tc_HOL_Obool) )).
% 20.36/20.63 cnf(matrix-8515, plain, ( class_Groups_Ominus(tc_HOL_Obool) )).
% 20.36/20.63 cnf(matrix-8516, plain, ( class_Enum_Oenum(tc_HOL_Obool) )).
% 20.36/20.63 cnf(matrix-8517, plain, ( class_Nat_Osize(tc_HOL_Obool) )).
% 20.36/20.63 cnf(matrix-8518, plain, ( class_Nat_Osize(tc_Com_Ostate) )).
% 20.36/20.63 cnf(matrix-8519, plain, ( ~class_Lazy__Sequence_Osmall__lazy(_u20918) | class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(_u20918)) )).
% 20.36/20.63 cnf(matrix-8520, plain, ( class_Nat_Osize(tc_List_Olist(_u20919)) )).
% 20.36/20.63 cnf(matrix-8521, plain, ( ~class_Finite__Set_Ofinite(_u20920) | ~class_Finite__Set_Ofinite(_u20921) | class_Finite__Set_Ofinite(tc_sum(_u20920, _u20921)) )).
% 20.36/20.63 cnf(matrix-8522, plain, ( ~class_Enum_Oenum(_u20922) | ~class_Enum_Oenum(_u20923) | class_Enum_Oenum(tc_sum(_u20922, _u20923)) )).
% 20.36/20.63 cnf(matrix-8523, plain, ( class_Nat_Osize(tc_sum(_u20924, _u20925)) )).
% 20.36/20.63 cnf(matrix-8524, plain, ( ~class_Finite__Set_Ofinite(_u20926) | class_Finite__Set_Ofinite(tc_Option_Ooption(_u20926)) )).
% 20.36/20.63 cnf(matrix-8525, plain, ( ~class_Enum_Oenum(_u20927) | class_Enum_Oenum(tc_Option_Ooption(_u20927)) )).
% 20.36/20.63 cnf(matrix-8526, plain, ( class_Nat_Osize(tc_Option_Ooption(_u20928)) )).
% 20.36/20.63 cnf(matrix-8527, plain, ( class_Nat_Osize(tc_Nitpick_Opair__box(_u20929, _u20930)) )).
% 20.36/20.63 cnf(matrix-8528, plain, ( ~class_Lazy__Sequence_Osmall__lazy(_u20931) | ~class_Lazy__Sequence_Osmall__lazy(_u20932) | class_Lazy__Sequence_Osmall__lazy(tc_prod(_u20931, _u20932)) )).
% 20.36/20.63 cnf(matrix-8529, plain, ( ~class_Finite__Set_Ofinite(_u20933) | ~class_Finite__Set_Ofinite(_u20934) | class_Finite__Set_Ofinite(tc_prod(_u20933, _u20934)) )).
% 20.36/20.63 cnf(matrix-8530, plain, ( ~class_Enum_Oenum(_u20935) | ~class_Enum_Oenum(_u20936) | class_Enum_Oenum(tc_prod(_u20935, _u20936)) )).
% 20.36/20.63 cnf(matrix-8531, plain, ( class_Nat_Osize(tc_prod(_u20937, _u20938)) )).
% 20.36/20.63 cnf(matrix-8532, plain, ( class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) )).
% 20.36/20.63 cnf(matrix-8533, plain, ( class_Finite__Set_Ofinite(tc_Product__Type_Ounit) )).
% 20.36/20.63 cnf(matrix-8534, plain, ( class_Enum_Oenum(tc_Product__Type_Ounit) )).
% 20.36/20.63 cnf(matrix-8535, plain, ( class_Nat_Osize(tc_Product__Type_Ounit) )).
% 20.36/20.63 cnf(matrix-8536, plain, ( class_Nat_Osize(tc_Code__Evaluation_Oterm) )).
% 20.36/20.63 cnf(matrix-8537, plain, ( class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(_u20939)) )).
% 20.36/20.63 cnf(matrix-8538, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.63 cnf(matrix-8539, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.63 cnf(matrix-8540, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.63 cnf(matrix-8541, plain, ( class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.63 cnf(matrix-8542, plain, ( class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.63 cnf(matrix-8543, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.63 cnf(matrix-8544, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.63 cnf(matrix-8545, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.63 cnf(matrix-8546, plain, ( class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.63 cnf(matrix-8547, plain, ( class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.63 cnf(matrix-8548, plain, ( class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.63 cnf(matrix-8549, plain, ( class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.63 cnf(matrix-8550, plain, ( class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.63 cnf(matrix-8551, plain, ( class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.63 cnf(matrix-8552, plain, ( class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.63 cnf(matrix-8553, plain, ( class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.63 cnf(matrix-8554, plain, ( class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.63 cnf(matrix-8555, plain, ( class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.63 cnf(matrix-8556, plain, ( class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.63 cnf(matrix-8557, plain, ( class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.63 cnf(matrix-8558, plain, ( class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.63 cnf(matrix-8559, plain, ( class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.63 cnf(matrix-8560, plain, ( class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.63 cnf(matrix-8561, plain, ( class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.63 cnf(matrix-8562, plain, ( class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.63 cnf(matrix-8563, plain, ( class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.63 cnf(matrix-8564, plain, ( class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.63 cnf(matrix-8565, plain, ( class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.63 cnf(matrix-8566, plain, ( class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.63 cnf(matrix-8567, plain, ( class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.63 cnf(matrix-8568, plain, ( class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.63 cnf(matrix-8569, plain, ( class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.63 cnf(matrix-8570, plain, ( class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.63 cnf(matrix-8571, plain, ( class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.63 cnf(matrix-8572, plain, ( class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.63 cnf(matrix-8573, plain, ( class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.63 cnf(matrix-8574, plain, ( class_Power_Opower(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.63 cnf(matrix-8575, plain, ( class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.63 cnf(matrix-8576, plain, ( class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.63 cnf(matrix-8577, plain, ( class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.63 cnf(matrix-8578, plain, ( class_Rings_Odvd(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.63 cnf(matrix-8579, plain, ( class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) )).
% 20.36/20.63 cnf(matrix-8580, plain, ( class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20940)) )).
% 20.36/20.63 cnf(matrix-8581, plain, ( ( hAPP(c_COMBI(_u20941), _u20942) = _u20942) )).
% 20.36/20.63 cnf(matrix-8582, plain, ( ( hAPP(hAPP(c_COMBK(_u20943, _u20944), _u20945), _u20946) = _u20945) )).
% 20.36/20.63 cnf(matrix-8583, plain, ( ( hAPP(hAPP(hAPP(c_COMBB(_u20947, _u20948, _u20949), _u20950), _u20951), _u20952) = hAPP(_u20950, hAPP(_u20951, _u20952))) )).
% 20.36/20.63 cnf(matrix-8584, plain, ( ( hAPP(hAPP(hAPP(c_COMBC(_u20953, _u20954, _u20955), _u20956), _u20957), _u20958) = hAPP(hAPP(_u20956, _u20958), _u20957)) )).
% 20.36/20.63 cnf(matrix-8585, plain, ( ( hAPP(hAPP(hAPP(c_COMBS(_u20959, _u20960, _u20961), _u20962), _u20963), _u20964) = hAPP(hAPP(_u20962, _u20964), hAPP(_u20963, _u20964))) )).
% 20.36/20.63 cnf(matrix-8586, plain, ( ~hBOOL(hAPP(hAPP(c_fequal, _u20965), _u20966)) | ( _u20965 = _u20966) )).
% 20.36/20.63 cnf(matrix-8587, plain, ( ( _u20967 != _u20968) | hBOOL(hAPP(hAPP(c_fequal, _u20967), _u20968)) )).
% 20.36/20.63 cnf(matrix-8588, plain, ( ~hBOOL(c_fFalse) )).
% 20.36/20.63 cnf(matrix-8589, plain, ( hBOOL(c_fTrue) )).
% 20.36/20.63 cnf(matrix-8590, plain, ( ~hBOOL(hAPP(c_fNot, _u20969)) | ~hBOOL(_u20969) )).
% 20.36/20.63 cnf(matrix-8591, plain, ( hBOOL(_u20970) | hBOOL(hAPP(c_fNot, _u20970)) )).
% 20.36/20.63 cnf(matrix-8592, plain, ( ~hBOOL(_u20972) | ~hBOOL(_u20971) | hBOOL(hAPP(hAPP(c_fconj, _u20971), _u20972)) )).
% 20.36/20.63 cnf(matrix-8593, plain, ( ~hBOOL(hAPP(hAPP(c_fconj, _u20973), _u20974)) | hBOOL(_u20973) )).
% 20.36/20.63 cnf(matrix-8594, plain, ( hBOOL(_u20976) | ~hBOOL(hAPP(hAPP(c_fconj, _u20975), _u20976)) )).
% 20.36/20.63 cnf(matrix-8595, plain, ( ~hBOOL(_u20977) | hBOOL(hAPP(hAPP(c_fdisj, _u20977), _u20978)) )).
% 20.36/20.63 cnf(matrix-8596, plain, ( ~hBOOL(_u20979) | hBOOL(hAPP(hAPP(c_fdisj, _u20980), _u20979)) )).
% 20.36/20.63 cnf(matrix-8597, plain, ( hBOOL(_u20982) | ~hBOOL(hAPP(hAPP(c_fdisj, _u20981), _u20982)) | hBOOL(_u20981) )).
% 20.36/20.63 cnf(matrix-8598, plain, ( hBOOL(_u20983) | hBOOL(hAPP(hAPP(c_fimplies, _u20983), _u20984)) )).
% 20.36/20.63 cnf(matrix-8599, plain, ( ~hBOOL(_u20985) | hBOOL(hAPP(hAPP(c_fimplies, _u20986), _u20985)) )).
% 20.36/20.63 cnf(matrix-8600, plain, ( hBOOL(_u20988) | ~hBOOL(hAPP(hAPP(c_fimplies, _u20987), _u20988)) | ~hBOOL(_u20987) )).
% 20.36/20.63 cnf(matrix-8601, plain, ( v_P(skolem590, skolem591) )).
% 20.36/20.63 cnf(matrix-8602, 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), _u20992), v_c), _u20991)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))) )).
% 20.36/20.63
% 20.36/20.63 % Proof stack:
% 20.36/20.63 cnf(proof-stack, plain,
% 20.36/20.63 proof_stack(
% 20.36/20.63 start(8602),
% 20.36/20.63 left_branch(0, 5777, 0, 2),
% 20.36/20.63 left_branch(0, 4752, 0, 3),
% 20.36/20.63 right_branch(3),
% 20.36/20.63 right_branch(2)
% 20.36/20.63 )).
% 20.36/20.63 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------